= 57 will reset the remote maximum message size\n // to the default value when a data channel is created at a later\n // stage. :(\n // See: https://bugzilla.mozilla.org/show_bug.cgi?id=1426831\n canSendMaxMessageSize = browserDetails.version === 57 ? 65535 : 65536;\n } else {\n // FF >= 60 supports sending ~2 GiB\n canSendMaxMessageSize = 2147483637;\n }\n }\n return canSendMaxMessageSize;\n };\n\n var getMaxMessageSize = function getMaxMessageSize(description, remoteIsFirefox) {\n // Note: 65536 bytes is the default value from the SDP spec. Also,\n // every implementation we know supports receiving 65536 bytes.\n var maxMessageSize = 65536;\n\n // FF 57 has a slightly incorrect default remote max message size, so\n // we need to adjust it here to avoid a failure when sending.\n // See: https://bugzilla.mozilla.org/show_bug.cgi?id=1425697\n if (browserDetails.browser === 'firefox' && browserDetails.version === 57) {\n maxMessageSize = 65535;\n }\n\n var match = _sdp2.default.matchPrefix(description.sdp, 'a=max-message-size:');\n if (match.length > 0) {\n maxMessageSize = parseInt(match[0].substr(19), 10);\n } else if (browserDetails.browser === 'firefox' && remoteIsFirefox !== -1) {\n // If the maximum message size is not present in the remote SDP and\n // both local and remote are Firefox, the remote peer can receive\n // ~2 GiB.\n maxMessageSize = 2147483637;\n }\n return maxMessageSize;\n };\n\n var origSetRemoteDescription = window.RTCPeerConnection.prototype.setRemoteDescription;\n window.RTCPeerConnection.prototype.setRemoteDescription = function () {\n this._sctp = null;\n\n if (sctpInDescription(arguments[0])) {\n // Check if the remote is FF.\n var isFirefox = getRemoteFirefoxVersion(arguments[0]);\n\n // Get the maximum message size the local peer is capable of sending\n var canSendMMS = getCanSendMaxMessageSize(isFirefox);\n\n // Get the maximum message size of the remote peer.\n var remoteMMS = getMaxMessageSize(arguments[0], isFirefox);\n\n // Determine final maximum message size\n var maxMessageSize = void 0;\n if (canSendMMS === 0 && remoteMMS === 0) {\n maxMessageSize = Number.POSITIVE_INFINITY;\n } else if (canSendMMS === 0 || remoteMMS === 0) {\n maxMessageSize = Math.max(canSendMMS, remoteMMS);\n } else {\n maxMessageSize = Math.min(canSendMMS, remoteMMS);\n }\n\n // Create a dummy RTCSctpTransport object and the 'maxMessageSize'\n // attribute.\n var sctp = {};\n Object.defineProperty(sctp, 'maxMessageSize', {\n get: function get() {\n return maxMessageSize;\n }\n });\n this._sctp = sctp;\n }\n\n return origSetRemoteDescription.apply(this, arguments);\n };\n }\n\n function shimSendThrowTypeError(window) {\n if (!(window.RTCPeerConnection && 'createDataChannel' in window.RTCPeerConnection.prototype)) {\n return;\n }\n\n // Note: Although Firefox >= 57 has a native implementation, the maximum\n // message size can be reset for all data channels at a later stage.\n // See: https://bugzilla.mozilla.org/show_bug.cgi?id=1426831\n\n function wrapDcSend(dc, pc) {\n var origDataChannelSend = dc.send;\n dc.send = function () {\n var data = arguments[0];\n var length = data.length || data.size || data.byteLength;\n if (dc.readyState === 'open' && pc.sctp && length > pc.sctp.maxMessageSize) {\n throw new TypeError('Message too large (can send a maximum of ' + pc.sctp.maxMessageSize + ' bytes)');\n }\n return origDataChannelSend.apply(dc, arguments);\n };\n }\n var origCreateDataChannel = window.RTCPeerConnection.prototype.createDataChannel;\n window.RTCPeerConnection.prototype.createDataChannel = function () {\n var dataChannel = origCreateDataChannel.apply(this, arguments);\n wrapDcSend(dataChannel, this);\n return dataChannel;\n };\n utils.wrapPeerConnectionEvent(window, 'datachannel', function (e) {\n wrapDcSend(e.channel, e.target);\n return e;\n });\n }\n\n /* shims RTCConnectionState by pretending it is the same as iceConnectionState.\n * See https://bugs.chromium.org/p/webrtc/issues/detail?id=6145#c12\n * for why this is a valid hack in Chrome. In Firefox it is slightly incorrect\n * since DTLS failures would be hidden. See\n * https://bugzilla.mozilla.org/show_bug.cgi?id=1265827\n * for the Firefox tracking bug.\n */\n function shimConnectionState(window) {\n if (!window.RTCPeerConnection || 'connectionState' in window.RTCPeerConnection.prototype) {\n return;\n }\n var proto = window.RTCPeerConnection.prototype;\n Object.defineProperty(proto, 'connectionState', {\n get: function get() {\n return {\n completed: 'connected',\n checking: 'connecting'\n }[this.iceConnectionState] || this.iceConnectionState;\n },\n\n enumerable: true,\n configurable: true\n });\n Object.defineProperty(proto, 'onconnectionstatechange', {\n get: function get() {\n return this._onconnectionstatechange || null;\n },\n set: function set(cb) {\n if (this._onconnectionstatechange) {\n this.removeEventListener('connectionstatechange', this._onconnectionstatechange);\n delete this._onconnectionstatechange;\n }\n if (cb) {\n this.addEventListener('connectionstatechange', this._onconnectionstatechange = cb);\n }\n },\n\n enumerable: true,\n configurable: true\n });\n\n ['setLocalDescription', 'setRemoteDescription'].forEach(function (method) {\n var origMethod = proto[method];\n proto[method] = function () {\n if (!this._connectionstatechangepoly) {\n this._connectionstatechangepoly = function (e) {\n var pc = e.target;\n if (pc._lastConnectionState !== pc.connectionState) {\n pc._lastConnectionState = pc.connectionState;\n var newEvent = new Event('connectionstatechange', e);\n pc.dispatchEvent(newEvent);\n }\n return e;\n };\n this.addEventListener('iceconnectionstatechange', this._connectionstatechangepoly);\n }\n return origMethod.apply(this, arguments);\n };\n });\n }\n\n},{\"./utils\":15,\"sdp\":17}],7:[function(require,module,exports){\n /*\n * Copyright (c) 2016 The WebRTC project authors. All Rights Reserved.\n *\n * Use of this source code is governed by a BSD-style license\n * that can be found in the LICENSE file in the root of the source\n * tree.\n */\n /* eslint-env node */\n 'use strict';\n\n Object.defineProperty(exports, \"__esModule\", {\n value: true\n });\n exports.shimGetDisplayMedia = exports.shimGetUserMedia = undefined;\n\n var _getusermedia = require('./getusermedia');\n\n Object.defineProperty(exports, 'shimGetUserMedia', {\n enumerable: true,\n get: function get() {\n return _getusermedia.shimGetUserMedia;\n }\n });\n\n var _getdisplaymedia = require('./getdisplaymedia');\n\n Object.defineProperty(exports, 'shimGetDisplayMedia', {\n enumerable: true,\n get: function get() {\n return _getdisplaymedia.shimGetDisplayMedia;\n }\n });\n exports.shimPeerConnection = shimPeerConnection;\n exports.shimReplaceTrack = shimReplaceTrack;\n\n var _utils = require('../utils');\n\n var utils = _interopRequireWildcard(_utils);\n\n var _filtericeservers = require('./filtericeservers');\n\n var _rtcpeerconnectionShim = require('rtcpeerconnection-shim');\n\n var _rtcpeerconnectionShim2 = _interopRequireDefault(_rtcpeerconnectionShim);\n\n function _interopRequireDefault(obj) { return obj && obj.__esModule ? obj : { default: obj }; }\n\n function _interopRequireWildcard(obj) { if (obj && obj.__esModule) { return obj; } else { var newObj = {}; if (obj != null) { for (var key in obj) { if (Object.prototype.hasOwnProperty.call(obj, key)) newObj[key] = obj[key]; } } newObj.default = obj; return newObj; } }\n\n function shimPeerConnection(window) {\n var browserDetails = utils.detectBrowser(window);\n\n if (window.RTCIceGatherer) {\n if (!window.RTCIceCandidate) {\n window.RTCIceCandidate = function (args) {\n return args;\n };\n }\n if (!window.RTCSessionDescription) {\n window.RTCSessionDescription = function (args) {\n return args;\n };\n }\n // this adds an additional event listener to MediaStrackTrack that signals\n // when a tracks enabled property was changed. Workaround for a bug in\n // addStream, see below. No longer required in 15025+\n if (browserDetails.version < 15025) {\n var origMSTEnabled = Object.getOwnPropertyDescriptor(window.MediaStreamTrack.prototype, 'enabled');\n Object.defineProperty(window.MediaStreamTrack.prototype, 'enabled', {\n set: function set(value) {\n origMSTEnabled.set.call(this, value);\n var ev = new Event('enabled');\n ev.enabled = value;\n this.dispatchEvent(ev);\n }\n });\n }\n }\n\n // ORTC defines the DTMF sender a bit different.\n // https://github.com/w3c/ortc/issues/714\n if (window.RTCRtpSender && !('dtmf' in window.RTCRtpSender.prototype)) {\n Object.defineProperty(window.RTCRtpSender.prototype, 'dtmf', {\n get: function get() {\n if (this._dtmf === undefined) {\n if (this.track.kind === 'audio') {\n this._dtmf = new window.RTCDtmfSender(this);\n } else if (this.track.kind === 'video') {\n this._dtmf = null;\n }\n }\n return this._dtmf;\n }\n });\n }\n // Edge currently only implements the RTCDtmfSender, not the\n // RTCDTMFSender alias. See http://draft.ortc.org/#rtcdtmfsender2*\n if (window.RTCDtmfSender && !window.RTCDTMFSender) {\n window.RTCDTMFSender = window.RTCDtmfSender;\n }\n\n var RTCPeerConnectionShim = (0, _rtcpeerconnectionShim2.default)(window, browserDetails.version);\n window.RTCPeerConnection = function (config) {\n if (config && config.iceServers) {\n config.iceServers = (0, _filtericeservers.filterIceServers)(config.iceServers, browserDetails.version);\n utils.log('ICE servers after filtering:', config.iceServers);\n }\n return new RTCPeerConnectionShim(config);\n };\n window.RTCPeerConnection.prototype = RTCPeerConnectionShim.prototype;\n }\n\n function shimReplaceTrack(window) {\n // ORTC has replaceTrack -- https://github.com/w3c/ortc/issues/614\n if (window.RTCRtpSender && !('replaceTrack' in window.RTCRtpSender.prototype)) {\n window.RTCRtpSender.prototype.replaceTrack = window.RTCRtpSender.prototype.setTrack;\n }\n }\n\n},{\"../utils\":15,\"./filtericeservers\":8,\"./getdisplaymedia\":9,\"./getusermedia\":10,\"rtcpeerconnection-shim\":16}],8:[function(require,module,exports){\n /*\n * Copyright (c) 2018 The WebRTC project authors. All Rights Reserved.\n *\n * Use of this source code is governed by a BSD-style license\n * that can be found in the LICENSE file in the root of the source\n * tree.\n */\n /* eslint-env node */\n 'use strict';\n\n Object.defineProperty(exports, \"__esModule\", {\n value: true\n });\n exports.filterIceServers = filterIceServers;\n\n var _utils = require('../utils');\n\n var utils = _interopRequireWildcard(_utils);\n\n function _interopRequireWildcard(obj) { if (obj && obj.__esModule) { return obj; } else { var newObj = {}; if (obj != null) { for (var key in obj) { if (Object.prototype.hasOwnProperty.call(obj, key)) newObj[key] = obj[key]; } } newObj.default = obj; return newObj; } }\n\n// Edge does not like\n// 1) stun: filtered after 14393 unless ?transport=udp is present\n// 2) turn: that does not have all of turn:host:port?transport=udp\n// 3) turn: with ipv6 addresses\n// 4) turn: occurring muliple times\n function filterIceServers(iceServers, edgeVersion) {\n var hasTurn = false;\n iceServers = JSON.parse(JSON.stringify(iceServers));\n return iceServers.filter(function (server) {\n if (server && (server.urls || server.url)) {\n var urls = server.urls || server.url;\n if (server.url && !server.urls) {\n utils.deprecated('RTCIceServer.url', 'RTCIceServer.urls');\n }\n var isString = typeof urls === 'string';\n if (isString) {\n urls = [urls];\n }\n urls = urls.filter(function (url) {\n // filter STUN unconditionally.\n if (url.indexOf('stun:') === 0) {\n return false;\n }\n\n var validTurn = url.startsWith('turn') && !url.startsWith('turn:[') && url.includes('transport=udp');\n if (validTurn && !hasTurn) {\n hasTurn = true;\n return true;\n }\n return validTurn && !hasTurn;\n });\n\n delete server.url;\n server.urls = isString ? urls[0] : urls;\n return !!urls.length;\n }\n });\n }\n\n},{\"../utils\":15}],9:[function(require,module,exports){\n /*\n * Copyright (c) 2018 The adapter.js project authors. All Rights Reserved.\n *\n * Use of this source code is governed by a BSD-style license\n * that can be found in the LICENSE file in the root of the source\n * tree.\n */\n /* eslint-env node */\n 'use strict';\n\n Object.defineProperty(exports, \"__esModule\", {\n value: true\n });\n exports.shimGetDisplayMedia = shimGetDisplayMedia;\n function shimGetDisplayMedia(window) {\n if (!('getDisplayMedia' in window.navigator)) {\n return;\n }\n if (!window.navigator.mediaDevices) {\n return;\n }\n if (window.navigator.mediaDevices && 'getDisplayMedia' in window.navigator.mediaDevices) {\n return;\n }\n window.navigator.mediaDevices.getDisplayMedia = window.navigator.getDisplayMedia.bind(window.navigator.mediaDevices);\n }\n\n},{}],10:[function(require,module,exports){\n /*\n * Copyright (c) 2016 The WebRTC project authors. All Rights Reserved.\n *\n * Use of this source code is governed by a BSD-style license\n * that can be found in the LICENSE file in the root of the source\n * tree.\n */\n /* eslint-env node */\n 'use strict';\n\n Object.defineProperty(exports, \"__esModule\", {\n value: true\n });\n exports.shimGetUserMedia = shimGetUserMedia;\n function shimGetUserMedia(window) {\n var navigator = window && window.navigator;\n\n var shimError_ = function shimError_(e) {\n return {\n name: { PermissionDeniedError: 'NotAllowedError' }[e.name] || e.name,\n message: e.message,\n constraint: e.constraint,\n toString: function toString() {\n return this.name;\n }\n };\n };\n\n // getUserMedia error shim.\n var origGetUserMedia = navigator.mediaDevices.getUserMedia.bind(navigator.mediaDevices);\n navigator.mediaDevices.getUserMedia = function (c) {\n return origGetUserMedia(c).catch(function (e) {\n return Promise.reject(shimError_(e));\n });\n };\n }\n\n},{}],11:[function(require,module,exports){\n /*\n * Copyright (c) 2016 The WebRTC project authors. All Rights Reserved.\n *\n * Use of this source code is governed by a BSD-style license\n * that can be found in the LICENSE file in the root of the source\n * tree.\n */\n /* eslint-env node */\n 'use strict';\n\n Object.defineProperty(exports, \"__esModule\", {\n value: true\n });\n exports.shimGetDisplayMedia = exports.shimGetUserMedia = undefined;\n\n var _typeof = typeof Symbol === \"function\" && typeof Symbol.iterator === \"symbol\" ? function (obj) { return typeof obj; } : function (obj) { return obj && typeof Symbol === \"function\" && obj.constructor === Symbol && obj !== Symbol.prototype ? \"symbol\" : typeof obj; };\n\n var _getusermedia = require('./getusermedia');\n\n Object.defineProperty(exports, 'shimGetUserMedia', {\n enumerable: true,\n get: function get() {\n return _getusermedia.shimGetUserMedia;\n }\n });\n\n var _getdisplaymedia = require('./getdisplaymedia');\n\n Object.defineProperty(exports, 'shimGetDisplayMedia', {\n enumerable: true,\n get: function get() {\n return _getdisplaymedia.shimGetDisplayMedia;\n }\n });\n exports.shimOnTrack = shimOnTrack;\n exports.shimPeerConnection = shimPeerConnection;\n exports.shimSenderGetStats = shimSenderGetStats;\n exports.shimReceiverGetStats = shimReceiverGetStats;\n exports.shimRemoveStream = shimRemoveStream;\n exports.shimRTCDataChannel = shimRTCDataChannel;\n\n var _utils = require('../utils');\n\n var utils = _interopRequireWildcard(_utils);\n\n function _interopRequireWildcard(obj) { if (obj && obj.__esModule) { return obj; } else { var newObj = {}; if (obj != null) { for (var key in obj) { if (Object.prototype.hasOwnProperty.call(obj, key)) newObj[key] = obj[key]; } } newObj.default = obj; return newObj; } }\n\n function shimOnTrack(window) {\n if ((typeof window === 'undefined' ? 'undefined' : _typeof(window)) === 'object' && window.RTCTrackEvent && 'receiver' in window.RTCTrackEvent.prototype && !('transceiver' in window.RTCTrackEvent.prototype)) {\n Object.defineProperty(window.RTCTrackEvent.prototype, 'transceiver', {\n get: function get() {\n return { receiver: this.receiver };\n }\n });\n }\n }\n\n function shimPeerConnection(window) {\n var browserDetails = utils.detectBrowser(window);\n\n if ((typeof window === 'undefined' ? 'undefined' : _typeof(window)) !== 'object' || !(window.RTCPeerConnection || window.mozRTCPeerConnection)) {\n return; // probably media.peerconnection.enabled=false in about:config\n }\n if (!window.RTCPeerConnection && window.mozRTCPeerConnection) {\n // very basic support for old versions.\n window.RTCPeerConnection = window.mozRTCPeerConnection;\n }\n\n // shim away need for obsolete RTCIceCandidate/RTCSessionDescription.\n ['setLocalDescription', 'setRemoteDescription', 'addIceCandidate'].forEach(function (method) {\n var nativeMethod = window.RTCPeerConnection.prototype[method];\n window.RTCPeerConnection.prototype[method] = function () {\n arguments[0] = new (method === 'addIceCandidate' ? window.RTCIceCandidate : window.RTCSessionDescription)(arguments[0]);\n return nativeMethod.apply(this, arguments);\n };\n });\n\n // support for addIceCandidate(null or undefined)\n var nativeAddIceCandidate = window.RTCPeerConnection.prototype.addIceCandidate;\n window.RTCPeerConnection.prototype.addIceCandidate = function () {\n if (!arguments[0]) {\n if (arguments[1]) {\n arguments[1].apply(null);\n }\n return Promise.resolve();\n }\n return nativeAddIceCandidate.apply(this, arguments);\n };\n\n var modernStatsTypes = {\n inboundrtp: 'inbound-rtp',\n outboundrtp: 'outbound-rtp',\n candidatepair: 'candidate-pair',\n localcandidate: 'local-candidate',\n remotecandidate: 'remote-candidate'\n };\n\n var nativeGetStats = window.RTCPeerConnection.prototype.getStats;\n window.RTCPeerConnection.prototype.getStats = function (selector, onSucc, onErr) {\n return nativeGetStats.apply(this, [selector || null]).then(function (stats) {\n if (browserDetails.version < 53 && !onSucc) {\n // Shim only promise getStats with spec-hyphens in type names\n // Leave callback version alone; misc old uses of forEach before Map\n try {\n stats.forEach(function (stat) {\n stat.type = modernStatsTypes[stat.type] || stat.type;\n });\n } catch (e) {\n if (e.name !== 'TypeError') {\n throw e;\n }\n // Avoid TypeError: \"type\" is read-only, in old versions. 34-43ish\n stats.forEach(function (stat, i) {\n stats.set(i, Object.assign({}, stat, {\n type: modernStatsTypes[stat.type] || stat.type\n }));\n });\n }\n }\n return stats;\n }).then(onSucc, onErr);\n };\n }\n\n function shimSenderGetStats(window) {\n if (!((typeof window === 'undefined' ? 'undefined' : _typeof(window)) === 'object' && window.RTCPeerConnection && window.RTCRtpSender)) {\n return;\n }\n if (window.RTCRtpSender && 'getStats' in window.RTCRtpSender.prototype) {\n return;\n }\n var origGetSenders = window.RTCPeerConnection.prototype.getSenders;\n if (origGetSenders) {\n window.RTCPeerConnection.prototype.getSenders = function () {\n var _this = this;\n\n var senders = origGetSenders.apply(this, []);\n senders.forEach(function (sender) {\n return sender._pc = _this;\n });\n return senders;\n };\n }\n\n var origAddTrack = window.RTCPeerConnection.prototype.addTrack;\n if (origAddTrack) {\n window.RTCPeerConnection.prototype.addTrack = function () {\n var sender = origAddTrack.apply(this, arguments);\n sender._pc = this;\n return sender;\n };\n }\n window.RTCRtpSender.prototype.getStats = function () {\n return this.track ? this._pc.getStats(this.track) : Promise.resolve(new Map());\n };\n }\n\n function shimReceiverGetStats(window) {\n if (!((typeof window === 'undefined' ? 'undefined' : _typeof(window)) === 'object' && window.RTCPeerConnection && window.RTCRtpSender)) {\n return;\n }\n if (window.RTCRtpSender && 'getStats' in window.RTCRtpReceiver.prototype) {\n return;\n }\n var origGetReceivers = window.RTCPeerConnection.prototype.getReceivers;\n if (origGetReceivers) {\n window.RTCPeerConnection.prototype.getReceivers = function () {\n var _this2 = this;\n\n var receivers = origGetReceivers.apply(this, []);\n receivers.forEach(function (receiver) {\n return receiver._pc = _this2;\n });\n return receivers;\n };\n }\n utils.wrapPeerConnectionEvent(window, 'track', function (e) {\n e.receiver._pc = e.srcElement;\n return e;\n });\n window.RTCRtpReceiver.prototype.getStats = function () {\n return this._pc.getStats(this.track);\n };\n }\n\n function shimRemoveStream(window) {\n if (!window.RTCPeerConnection || 'removeStream' in window.RTCPeerConnection.prototype) {\n return;\n }\n window.RTCPeerConnection.prototype.removeStream = function (stream) {\n var _this3 = this;\n\n utils.deprecated('removeStream', 'removeTrack');\n this.getSenders().forEach(function (sender) {\n if (sender.track && stream.getTracks().includes(sender.track)) {\n _this3.removeTrack(sender);\n }\n });\n };\n }\n\n function shimRTCDataChannel(window) {\n // rename DataChannel to RTCDataChannel (native fix in FF60):\n // https://bugzilla.mozilla.org/show_bug.cgi?id=1173851\n if (window.DataChannel && !window.RTCDataChannel) {\n window.RTCDataChannel = window.DataChannel;\n }\n }\n\n},{\"../utils\":15,\"./getdisplaymedia\":12,\"./getusermedia\":13}],12:[function(require,module,exports){\n /*\n * Copyright (c) 2018 The adapter.js project authors. All Rights Reserved.\n *\n * Use of this source code is governed by a BSD-style license\n * that can be found in the LICENSE file in the root of the source\n * tree.\n */\n /* eslint-env node */\n 'use strict';\n\n Object.defineProperty(exports, \"__esModule\", {\n value: true\n });\n exports.shimGetDisplayMedia = shimGetDisplayMedia;\n function shimGetDisplayMedia(window, preferredMediaSource) {\n if (window.navigator.mediaDevices && 'getDisplayMedia' in window.navigator.mediaDevices) {\n return;\n }\n if (!window.navigator.mediaDevices) {\n return;\n }\n window.navigator.mediaDevices.getDisplayMedia = function (constraints) {\n if (!(constraints && constraints.video)) {\n var err = new DOMException('getDisplayMedia without video ' + 'constraints is undefined');\n err.name = 'NotFoundError';\n // from https://heycam.github.io/webidl/#idl-DOMException-error-names\n err.code = 8;\n return Promise.reject(err);\n }\n if (constraints.video === true) {\n constraints.video = { mediaSource: preferredMediaSource };\n } else {\n constraints.video.mediaSource = preferredMediaSource;\n }\n return window.navigator.mediaDevices.getUserMedia(constraints);\n };\n }\n\n},{}],13:[function(require,module,exports){\n /*\n * Copyright (c) 2016 The WebRTC project authors. All Rights Reserved.\n *\n * Use of this source code is governed by a BSD-style license\n * that can be found in the LICENSE file in the root of the source\n * tree.\n */\n /* eslint-env node */\n 'use strict';\n\n Object.defineProperty(exports, \"__esModule\", {\n value: true\n });\n\n var _typeof = typeof Symbol === \"function\" && typeof Symbol.iterator === \"symbol\" ? function (obj) { return typeof obj; } : function (obj) { return obj && typeof Symbol === \"function\" && obj.constructor === Symbol && obj !== Symbol.prototype ? \"symbol\" : typeof obj; };\n\n exports.shimGetUserMedia = shimGetUserMedia;\n\n var _utils = require('../utils');\n\n var utils = _interopRequireWildcard(_utils);\n\n function _interopRequireWildcard(obj) { if (obj && obj.__esModule) { return obj; } else { var newObj = {}; if (obj != null) { for (var key in obj) { if (Object.prototype.hasOwnProperty.call(obj, key)) newObj[key] = obj[key]; } } newObj.default = obj; return newObj; } }\n\n function shimGetUserMedia(window) {\n var browserDetails = utils.detectBrowser(window);\n var navigator = window && window.navigator;\n var MediaStreamTrack = window && window.MediaStreamTrack;\n\n navigator.getUserMedia = function (constraints, onSuccess, onError) {\n // Replace Firefox 44+'s deprecation warning with unprefixed version.\n utils.deprecated('navigator.getUserMedia', 'navigator.mediaDevices.getUserMedia');\n navigator.mediaDevices.getUserMedia(constraints).then(onSuccess, onError);\n };\n\n if (!(browserDetails.version > 55 && 'autoGainControl' in navigator.mediaDevices.getSupportedConstraints())) {\n var remap = function remap(obj, a, b) {\n if (a in obj && !(b in obj)) {\n obj[b] = obj[a];\n delete obj[a];\n }\n };\n\n var nativeGetUserMedia = navigator.mediaDevices.getUserMedia.bind(navigator.mediaDevices);\n navigator.mediaDevices.getUserMedia = function (c) {\n if ((typeof c === 'undefined' ? 'undefined' : _typeof(c)) === 'object' && _typeof(c.audio) === 'object') {\n c = JSON.parse(JSON.stringify(c));\n remap(c.audio, 'autoGainControl', 'mozAutoGainControl');\n remap(c.audio, 'noiseSuppression', 'mozNoiseSuppression');\n }\n return nativeGetUserMedia(c);\n };\n\n if (MediaStreamTrack && MediaStreamTrack.prototype.getSettings) {\n var nativeGetSettings = MediaStreamTrack.prototype.getSettings;\n MediaStreamTrack.prototype.getSettings = function () {\n var obj = nativeGetSettings.apply(this, arguments);\n remap(obj, 'mozAutoGainControl', 'autoGainControl');\n remap(obj, 'mozNoiseSuppression', 'noiseSuppression');\n return obj;\n };\n }\n\n if (MediaStreamTrack && MediaStreamTrack.prototype.applyConstraints) {\n var nativeApplyConstraints = MediaStreamTrack.prototype.applyConstraints;\n MediaStreamTrack.prototype.applyConstraints = function (c) {\n if (this.kind === 'audio' && (typeof c === 'undefined' ? 'undefined' : _typeof(c)) === 'object') {\n c = JSON.parse(JSON.stringify(c));\n remap(c, 'autoGainControl', 'mozAutoGainControl');\n remap(c, 'noiseSuppression', 'mozNoiseSuppression');\n }\n return nativeApplyConstraints.apply(this, [c]);\n };\n }\n }\n }\n\n},{\"../utils\":15}],14:[function(require,module,exports){\n /*\n * Copyright (c) 2016 The WebRTC project authors. All Rights Reserved.\n *\n * Use of this source code is governed by a BSD-style license\n * that can be found in the LICENSE file in the root of the source\n * tree.\n */\n 'use strict';\n\n Object.defineProperty(exports, \"__esModule\", {\n value: true\n });\n\n var _typeof = typeof Symbol === \"function\" && typeof Symbol.iterator === \"symbol\" ? function (obj) { return typeof obj; } : function (obj) { return obj && typeof Symbol === \"function\" && obj.constructor === Symbol && obj !== Symbol.prototype ? \"symbol\" : typeof obj; };\n\n exports.shimLocalStreamsAPI = shimLocalStreamsAPI;\n exports.shimRemoteStreamsAPI = shimRemoteStreamsAPI;\n exports.shimCallbacksAPI = shimCallbacksAPI;\n exports.shimGetUserMedia = shimGetUserMedia;\n exports.shimRTCIceServerUrls = shimRTCIceServerUrls;\n exports.shimTrackEventTransceiver = shimTrackEventTransceiver;\n exports.shimCreateOfferLegacy = shimCreateOfferLegacy;\n\n var _utils = require('../utils');\n\n var utils = _interopRequireWildcard(_utils);\n\n function _interopRequireWildcard(obj) { if (obj && obj.__esModule) { return obj; } else { var newObj = {}; if (obj != null) { for (var key in obj) { if (Object.prototype.hasOwnProperty.call(obj, key)) newObj[key] = obj[key]; } } newObj.default = obj; return newObj; } }\n\n function shimLocalStreamsAPI(window) {\n if ((typeof window === 'undefined' ? 'undefined' : _typeof(window)) !== 'object' || !window.RTCPeerConnection) {\n return;\n }\n if (!('getLocalStreams' in window.RTCPeerConnection.prototype)) {\n window.RTCPeerConnection.prototype.getLocalStreams = function () {\n if (!this._localStreams) {\n this._localStreams = [];\n }\n return this._localStreams;\n };\n }\n if (!('addStream' in window.RTCPeerConnection.prototype)) {\n var _addTrack = window.RTCPeerConnection.prototype.addTrack;\n window.RTCPeerConnection.prototype.addStream = function (stream) {\n var _this = this;\n\n if (!this._localStreams) {\n this._localStreams = [];\n }\n if (!this._localStreams.includes(stream)) {\n this._localStreams.push(stream);\n }\n stream.getTracks().forEach(function (track) {\n return _addTrack.call(_this, track, stream);\n });\n };\n\n window.RTCPeerConnection.prototype.addTrack = function (track, stream) {\n if (stream) {\n if (!this._localStreams) {\n this._localStreams = [stream];\n } else if (!this._localStreams.includes(stream)) {\n this._localStreams.push(stream);\n }\n }\n return _addTrack.call(this, track, stream);\n };\n }\n if (!('removeStream' in window.RTCPeerConnection.prototype)) {\n window.RTCPeerConnection.prototype.removeStream = function (stream) {\n var _this2 = this;\n\n if (!this._localStreams) {\n this._localStreams = [];\n }\n var index = this._localStreams.indexOf(stream);\n if (index === -1) {\n return;\n }\n this._localStreams.splice(index, 1);\n var tracks = stream.getTracks();\n this.getSenders().forEach(function (sender) {\n if (tracks.includes(sender.track)) {\n _this2.removeTrack(sender);\n }\n });\n };\n }\n }\n\n function shimRemoteStreamsAPI(window) {\n if ((typeof window === 'undefined' ? 'undefined' : _typeof(window)) !== 'object' || !window.RTCPeerConnection) {\n return;\n }\n if (!('getRemoteStreams' in window.RTCPeerConnection.prototype)) {\n window.RTCPeerConnection.prototype.getRemoteStreams = function () {\n return this._remoteStreams ? this._remoteStreams : [];\n };\n }\n if (!('onaddstream' in window.RTCPeerConnection.prototype)) {\n Object.defineProperty(window.RTCPeerConnection.prototype, 'onaddstream', {\n get: function get() {\n return this._onaddstream;\n },\n set: function set(f) {\n var _this3 = this;\n\n if (this._onaddstream) {\n this.removeEventListener('addstream', this._onaddstream);\n this.removeEventListener('track', this._onaddstreampoly);\n }\n this.addEventListener('addstream', this._onaddstream = f);\n this.addEventListener('track', this._onaddstreampoly = function (e) {\n e.streams.forEach(function (stream) {\n if (!_this3._remoteStreams) {\n _this3._remoteStreams = [];\n }\n if (_this3._remoteStreams.includes(stream)) {\n return;\n }\n _this3._remoteStreams.push(stream);\n var event = new Event('addstream');\n event.stream = stream;\n _this3.dispatchEvent(event);\n });\n });\n }\n });\n var origSetRemoteDescription = window.RTCPeerConnection.prototype.setRemoteDescription;\n window.RTCPeerConnection.prototype.setRemoteDescription = function () {\n var pc = this;\n if (!this._onaddstreampoly) {\n this.addEventListener('track', this._onaddstreampoly = function (e) {\n e.streams.forEach(function (stream) {\n if (!pc._remoteStreams) {\n pc._remoteStreams = [];\n }\n if (pc._remoteStreams.indexOf(stream) >= 0) {\n return;\n }\n pc._remoteStreams.push(stream);\n var event = new Event('addstream');\n event.stream = stream;\n pc.dispatchEvent(event);\n });\n });\n }\n return origSetRemoteDescription.apply(pc, arguments);\n };\n }\n }\n\n function shimCallbacksAPI(window) {\n if ((typeof window === 'undefined' ? 'undefined' : _typeof(window)) !== 'object' || !window.RTCPeerConnection) {\n return;\n }\n var prototype = window.RTCPeerConnection.prototype;\n var createOffer = prototype.createOffer;\n var createAnswer = prototype.createAnswer;\n var setLocalDescription = prototype.setLocalDescription;\n var setRemoteDescription = prototype.setRemoteDescription;\n var addIceCandidate = prototype.addIceCandidate;\n\n prototype.createOffer = function (successCallback, failureCallback) {\n var options = arguments.length >= 2 ? arguments[2] : arguments[0];\n var promise = createOffer.apply(this, [options]);\n if (!failureCallback) {\n return promise;\n }\n promise.then(successCallback, failureCallback);\n return Promise.resolve();\n };\n\n prototype.createAnswer = function (successCallback, failureCallback) {\n var options = arguments.length >= 2 ? arguments[2] : arguments[0];\n var promise = createAnswer.apply(this, [options]);\n if (!failureCallback) {\n return promise;\n }\n promise.then(successCallback, failureCallback);\n return Promise.resolve();\n };\n\n var withCallback = function withCallback(description, successCallback, failureCallback) {\n var promise = setLocalDescription.apply(this, [description]);\n if (!failureCallback) {\n return promise;\n }\n promise.then(successCallback, failureCallback);\n return Promise.resolve();\n };\n prototype.setLocalDescription = withCallback;\n\n withCallback = function withCallback(description, successCallback, failureCallback) {\n var promise = setRemoteDescription.apply(this, [description]);\n if (!failureCallback) {\n return promise;\n }\n promise.then(successCallback, failureCallback);\n return Promise.resolve();\n };\n prototype.setRemoteDescription = withCallback;\n\n withCallback = function withCallback(candidate, successCallback, failureCallback) {\n var promise = addIceCandidate.apply(this, [candidate]);\n if (!failureCallback) {\n return promise;\n }\n promise.then(successCallback, failureCallback);\n return Promise.resolve();\n };\n prototype.addIceCandidate = withCallback;\n }\n\n function shimGetUserMedia(window) {\n var navigator = window && window.navigator;\n\n if (!navigator.getUserMedia && navigator.mediaDevices && navigator.mediaDevices.getUserMedia) {\n navigator.getUserMedia = function (constraints, cb, errcb) {\n navigator.mediaDevices.getUserMedia(constraints).then(cb, errcb);\n }.bind(navigator);\n }\n }\n\n function shimRTCIceServerUrls(window) {\n // migrate from non-spec RTCIceServer.url to RTCIceServer.urls\n var OrigPeerConnection = window.RTCPeerConnection;\n window.RTCPeerConnection = function (pcConfig, pcConstraints) {\n if (pcConfig && pcConfig.iceServers) {\n var newIceServers = [];\n for (var i = 0; i < pcConfig.iceServers.length; i++) {\n var server = pcConfig.iceServers[i];\n if (!server.hasOwnProperty('urls') && server.hasOwnProperty('url')) {\n utils.deprecated('RTCIceServer.url', 'RTCIceServer.urls');\n server = JSON.parse(JSON.stringify(server));\n server.urls = server.url;\n delete server.url;\n newIceServers.push(server);\n } else {\n newIceServers.push(pcConfig.iceServers[i]);\n }\n }\n pcConfig.iceServers = newIceServers;\n }\n return new OrigPeerConnection(pcConfig, pcConstraints);\n };\n window.RTCPeerConnection.prototype = OrigPeerConnection.prototype;\n // wrap static methods. Currently just generateCertificate.\n if ('generateCertificate' in window.RTCPeerConnection) {\n Object.defineProperty(window.RTCPeerConnection, 'generateCertificate', {\n get: function get() {\n return OrigPeerConnection.generateCertificate;\n }\n });\n }\n }\n\n function shimTrackEventTransceiver(window) {\n // Add event.transceiver member over deprecated event.receiver\n if ((typeof window === 'undefined' ? 'undefined' : _typeof(window)) === 'object' && window.RTCPeerConnection && 'receiver' in window.RTCTrackEvent.prototype &&\n // can't check 'transceiver' in window.RTCTrackEvent.prototype, as it is\n // defined for some reason even when window.RTCTransceiver is not.\n !window.RTCTransceiver) {\n Object.defineProperty(window.RTCTrackEvent.prototype, 'transceiver', {\n get: function get() {\n return { receiver: this.receiver };\n }\n });\n }\n }\n\n function shimCreateOfferLegacy(window) {\n var origCreateOffer = window.RTCPeerConnection.prototype.createOffer;\n window.RTCPeerConnection.prototype.createOffer = function (offerOptions) {\n if (offerOptions) {\n if (typeof offerOptions.offerToReceiveAudio !== 'undefined') {\n // support bit values\n offerOptions.offerToReceiveAudio = !!offerOptions.offerToReceiveAudio;\n }\n var audioTransceiver = this.getTransceivers().find(function (transceiver) {\n return transceiver.sender.track && transceiver.sender.track.kind === 'audio';\n });\n if (offerOptions.offerToReceiveAudio === false && audioTransceiver) {\n if (audioTransceiver.direction === 'sendrecv') {\n if (audioTransceiver.setDirection) {\n audioTransceiver.setDirection('sendonly');\n } else {\n audioTransceiver.direction = 'sendonly';\n }\n } else if (audioTransceiver.direction === 'recvonly') {\n if (audioTransceiver.setDirection) {\n audioTransceiver.setDirection('inactive');\n } else {\n audioTransceiver.direction = 'inactive';\n }\n }\n } else if (offerOptions.offerToReceiveAudio === true && !audioTransceiver) {\n this.addTransceiver('audio');\n }\n\n if (typeof offerOptions.offerToReceiveVideo !== 'undefined') {\n // support bit values\n offerOptions.offerToReceiveVideo = !!offerOptions.offerToReceiveVideo;\n }\n var videoTransceiver = this.getTransceivers().find(function (transceiver) {\n return transceiver.sender.track && transceiver.sender.track.kind === 'video';\n });\n if (offerOptions.offerToReceiveVideo === false && videoTransceiver) {\n if (videoTransceiver.direction === 'sendrecv') {\n if (videoTransceiver.setDirection) {\n videoTransceiver.setDirection('sendonly');\n } else {\n videoTransceiver.direction = 'sendonly';\n }\n } else if (videoTransceiver.direction === 'recvonly') {\n if (videoTransceiver.setDirection) {\n videoTransceiver.setDirection('inactive');\n } else {\n videoTransceiver.direction = 'inactive';\n }\n }\n } else if (offerOptions.offerToReceiveVideo === true && !videoTransceiver) {\n this.addTransceiver('video');\n }\n }\n return origCreateOffer.apply(this, arguments);\n };\n }\n\n},{\"../utils\":15}],15:[function(require,module,exports){\n /*\n * Copyright (c) 2016 The WebRTC project authors. All Rights Reserved.\n *\n * Use of this source code is governed by a BSD-style license\n * that can be found in the LICENSE file in the root of the source\n * tree.\n */\n /* eslint-env node */\n 'use strict';\n\n Object.defineProperty(exports, \"__esModule\", {\n value: true\n });\n\n var _typeof = typeof Symbol === \"function\" && typeof Symbol.iterator === \"symbol\" ? function (obj) { return typeof obj; } : function (obj) { return obj && typeof Symbol === \"function\" && obj.constructor === Symbol && obj !== Symbol.prototype ? \"symbol\" : typeof obj; };\n\n exports.extractVersion = extractVersion;\n exports.wrapPeerConnectionEvent = wrapPeerConnectionEvent;\n exports.disableLog = disableLog;\n exports.disableWarnings = disableWarnings;\n exports.log = log;\n exports.deprecated = deprecated;\n exports.detectBrowser = detectBrowser;\n var logDisabled_ = true;\n var deprecationWarnings_ = true;\n\n /**\n * Extract browser version out of the provided user agent string.\n *\n * @param {!string} uastring userAgent string.\n * @param {!string} expr Regular expression used as match criteria.\n * @param {!number} pos position in the version string to be returned.\n * @return {!number} browser version.\n */\n function extractVersion(uastring, expr, pos) {\n var match = uastring.match(expr);\n return match && match.length >= pos && parseInt(match[pos], 10);\n }\n\n// Wraps the peerconnection event eventNameToWrap in a function\n// which returns the modified event object (or false to prevent\n// the event).\n function wrapPeerConnectionEvent(window, eventNameToWrap, wrapper) {\n if (!window.RTCPeerConnection) {\n return;\n }\n var proto = window.RTCPeerConnection.prototype;\n var nativeAddEventListener = proto.addEventListener;\n proto.addEventListener = function (nativeEventName, cb) {\n if (nativeEventName !== eventNameToWrap) {\n return nativeAddEventListener.apply(this, arguments);\n }\n var wrappedCallback = function wrappedCallback(e) {\n var modifiedEvent = wrapper(e);\n if (modifiedEvent) {\n cb(modifiedEvent);\n }\n };\n this._eventMap = this._eventMap || {};\n this._eventMap[cb] = wrappedCallback;\n return nativeAddEventListener.apply(this, [nativeEventName, wrappedCallback]);\n };\n\n var nativeRemoveEventListener = proto.removeEventListener;\n proto.removeEventListener = function (nativeEventName, cb) {\n if (nativeEventName !== eventNameToWrap || !this._eventMap || !this._eventMap[cb]) {\n return nativeRemoveEventListener.apply(this, arguments);\n }\n var unwrappedCb = this._eventMap[cb];\n delete this._eventMap[cb];\n return nativeRemoveEventListener.apply(this, [nativeEventName, unwrappedCb]);\n };\n\n Object.defineProperty(proto, 'on' + eventNameToWrap, {\n get: function get() {\n return this['_on' + eventNameToWrap];\n },\n set: function set(cb) {\n if (this['_on' + eventNameToWrap]) {\n this.removeEventListener(eventNameToWrap, this['_on' + eventNameToWrap]);\n delete this['_on' + eventNameToWrap];\n }\n if (cb) {\n this.addEventListener(eventNameToWrap, this['_on' + eventNameToWrap] = cb);\n }\n },\n\n enumerable: true,\n configurable: true\n });\n }\n\n function disableLog(bool) {\n if (typeof bool !== 'boolean') {\n return new Error('Argument type: ' + (typeof bool === 'undefined' ? 'undefined' : _typeof(bool)) + '. Please use a boolean.');\n }\n logDisabled_ = bool;\n return bool ? 'adapter.js logging disabled' : 'adapter.js logging enabled';\n }\n\n /**\n * Disable or enable deprecation warnings\n * @param {!boolean} bool set to true to disable warnings.\n */\n function disableWarnings(bool) {\n if (typeof bool !== 'boolean') {\n return new Error('Argument type: ' + (typeof bool === 'undefined' ? 'undefined' : _typeof(bool)) + '. Please use a boolean.');\n }\n deprecationWarnings_ = !bool;\n return 'adapter.js deprecation warnings ' + (bool ? 'disabled' : 'enabled');\n }\n\n function log() {\n if ((typeof window === 'undefined' ? 'undefined' : _typeof(window)) === 'object') {\n if (logDisabled_) {\n return;\n }\n if (typeof console !== 'undefined' && typeof console.log === 'function') {\n console.log.apply(console, arguments);\n }\n }\n }\n\n /**\n * Shows a deprecation warning suggesting the modern and spec-compatible API.\n */\n function deprecated(oldMethod, newMethod) {\n if (!deprecationWarnings_) {\n return;\n }\n console.warn(oldMethod + ' is deprecated, please use ' + newMethod + ' instead.');\n }\n\n /**\n * Browser detector.\n *\n * @return {object} result containing browser and version\n * properties.\n */\n function detectBrowser(window) {\n var navigator = window.navigator;\n\n // Returned result object.\n\n var result = { browser: null, version: null };\n\n // Fail early if it's not a browser\n if (typeof window === 'undefined' || !window.navigator) {\n result.browser = 'Not a browser.';\n return result;\n }\n\n if (navigator.mozGetUserMedia) {\n // Firefox.\n result.browser = 'firefox';\n result.version = extractVersion(navigator.userAgent, /Firefox\\/(\\d+)\\./, 1);\n } else if (navigator.webkitGetUserMedia) {\n // Chrome, Chromium, Webview, Opera.\n // Version matches Chrome/WebRTC version.\n result.browser = 'chrome';\n result.version = extractVersion(navigator.userAgent, /Chrom(e|ium)\\/(\\d+)\\./, 2);\n } else if (navigator.mediaDevices && navigator.userAgent.match(/Edge\\/(\\d+).(\\d+)$/)) {\n // Edge.\n result.browser = 'edge';\n result.version = extractVersion(navigator.userAgent, /Edge\\/(\\d+).(\\d+)$/, 2);\n } else if (window.RTCPeerConnection && navigator.userAgent.match(/AppleWebKit\\/(\\d+)\\./)) {\n // Safari.\n result.browser = 'safari';\n result.version = extractVersion(navigator.userAgent, /AppleWebKit\\/(\\d+)\\./, 1);\n } else {\n // Default fallthrough: not supported.\n result.browser = 'Not a supported browser.';\n return result;\n }\n\n return result;\n }\n\n},{}],16:[function(require,module,exports){\n /*\n * Copyright (c) 2017 The WebRTC project authors. All Rights Reserved.\n *\n * Use of this source code is governed by a BSD-style license\n * that can be found in the LICENSE file in the root of the source\n * tree.\n */\n /* eslint-env node */\n 'use strict';\n\n var SDPUtils = require('sdp');\n\n function fixStatsType(stat) {\n return {\n inboundrtp: 'inbound-rtp',\n outboundrtp: 'outbound-rtp',\n candidatepair: 'candidate-pair',\n localcandidate: 'local-candidate',\n remotecandidate: 'remote-candidate'\n }[stat.type] || stat.type;\n }\n\n function writeMediaSection(transceiver, caps, type, stream, dtlsRole) {\n var sdp = SDPUtils.writeRtpDescription(transceiver.kind, caps);\n\n // Map ICE parameters (ufrag, pwd) to SDP.\n sdp += SDPUtils.writeIceParameters(\n transceiver.iceGatherer.getLocalParameters());\n\n // Map DTLS parameters to SDP.\n sdp += SDPUtils.writeDtlsParameters(\n transceiver.dtlsTransport.getLocalParameters(),\n type === 'offer' ? 'actpass' : dtlsRole || 'active');\n\n sdp += 'a=mid:' + transceiver.mid + '\\r\\n';\n\n if (transceiver.rtpSender && transceiver.rtpReceiver) {\n sdp += 'a=sendrecv\\r\\n';\n } else if (transceiver.rtpSender) {\n sdp += 'a=sendonly\\r\\n';\n } else if (transceiver.rtpReceiver) {\n sdp += 'a=recvonly\\r\\n';\n } else {\n sdp += 'a=inactive\\r\\n';\n }\n\n if (transceiver.rtpSender) {\n var trackId = transceiver.rtpSender._initialTrackId ||\n transceiver.rtpSender.track.id;\n transceiver.rtpSender._initialTrackId = trackId;\n // spec.\n var msid = 'msid:' + (stream ? stream.id : '-') + ' ' +\n trackId + '\\r\\n';\n sdp += 'a=' + msid;\n // for Chrome. Legacy should no longer be required.\n sdp += 'a=ssrc:' + transceiver.sendEncodingParameters[0].ssrc +\n ' ' + msid;\n\n // RTX\n if (transceiver.sendEncodingParameters[0].rtx) {\n sdp += 'a=ssrc:' + transceiver.sendEncodingParameters[0].rtx.ssrc +\n ' ' + msid;\n sdp += 'a=ssrc-group:FID ' +\n transceiver.sendEncodingParameters[0].ssrc + ' ' +\n transceiver.sendEncodingParameters[0].rtx.ssrc +\n '\\r\\n';\n }\n }\n // FIXME: this should be written by writeRtpDescription.\n sdp += 'a=ssrc:' + transceiver.sendEncodingParameters[0].ssrc +\n ' cname:' + SDPUtils.localCName + '\\r\\n';\n if (transceiver.rtpSender && transceiver.sendEncodingParameters[0].rtx) {\n sdp += 'a=ssrc:' + transceiver.sendEncodingParameters[0].rtx.ssrc +\n ' cname:' + SDPUtils.localCName + '\\r\\n';\n }\n return sdp;\n }\n\n// Edge does not like\n// 1) stun: filtered after 14393 unless ?transport=udp is present\n// 2) turn: that does not have all of turn:host:port?transport=udp\n// 3) turn: with ipv6 addresses\n// 4) turn: occurring muliple times\n function filterIceServers(iceServers, edgeVersion) {\n var hasTurn = false;\n iceServers = JSON.parse(JSON.stringify(iceServers));\n return iceServers.filter(function(server) {\n if (server && (server.urls || server.url)) {\n var urls = server.urls || server.url;\n if (server.url && !server.urls) {\n console.warn('RTCIceServer.url is deprecated! Use urls instead.');\n }\n var isString = typeof urls === 'string';\n if (isString) {\n urls = [urls];\n }\n urls = urls.filter(function(url) {\n var validTurn = url.indexOf('turn:') === 0 &&\n url.indexOf('transport=udp') !== -1 &&\n url.indexOf('turn:[') === -1 &&\n !hasTurn;\n\n if (validTurn) {\n hasTurn = true;\n return true;\n }\n return url.indexOf('stun:') === 0 && edgeVersion >= 14393 &&\n url.indexOf('?transport=udp') === -1;\n });\n\n delete server.url;\n server.urls = isString ? urls[0] : urls;\n return !!urls.length;\n }\n });\n }\n\n// Determines the intersection of local and remote capabilities.\n function getCommonCapabilities(localCapabilities, remoteCapabilities) {\n var commonCapabilities = {\n codecs: [],\n headerExtensions: [],\n fecMechanisms: []\n };\n\n var findCodecByPayloadType = function(pt, codecs) {\n pt = parseInt(pt, 10);\n for (var i = 0; i < codecs.length; i++) {\n if (codecs[i].payloadType === pt ||\n codecs[i].preferredPayloadType === pt) {\n return codecs[i];\n }\n }\n };\n\n var rtxCapabilityMatches = function(lRtx, rRtx, lCodecs, rCodecs) {\n var lCodec = findCodecByPayloadType(lRtx.parameters.apt, lCodecs);\n var rCodec = findCodecByPayloadType(rRtx.parameters.apt, rCodecs);\n return lCodec && rCodec &&\n lCodec.name.toLowerCase() === rCodec.name.toLowerCase();\n };\n\n localCapabilities.codecs.forEach(function(lCodec) {\n for (var i = 0; i < remoteCapabilities.codecs.length; i++) {\n var rCodec = remoteCapabilities.codecs[i];\n if (lCodec.name.toLowerCase() === rCodec.name.toLowerCase() &&\n lCodec.clockRate === rCodec.clockRate) {\n if (lCodec.name.toLowerCase() === 'rtx' &&\n lCodec.parameters && rCodec.parameters.apt) {\n // for RTX we need to find the local rtx that has a apt\n // which points to the same local codec as the remote one.\n if (!rtxCapabilityMatches(lCodec, rCodec,\n localCapabilities.codecs, remoteCapabilities.codecs)) {\n continue;\n }\n }\n rCodec = JSON.parse(JSON.stringify(rCodec)); // deepcopy\n // number of channels is the highest common number of channels\n rCodec.numChannels = Math.min(lCodec.numChannels,\n rCodec.numChannels);\n // push rCodec so we reply with offerer payload type\n commonCapabilities.codecs.push(rCodec);\n\n // determine common feedback mechanisms\n rCodec.rtcpFeedback = rCodec.rtcpFeedback.filter(function(fb) {\n for (var j = 0; j < lCodec.rtcpFeedback.length; j++) {\n if (lCodec.rtcpFeedback[j].type === fb.type &&\n lCodec.rtcpFeedback[j].parameter === fb.parameter) {\n return true;\n }\n }\n return false;\n });\n // FIXME: also need to determine .parameters\n // see https://github.com/openpeer/ortc/issues/569\n break;\n }\n }\n });\n\n localCapabilities.headerExtensions.forEach(function(lHeaderExtension) {\n for (var i = 0; i < remoteCapabilities.headerExtensions.length;\n i++) {\n var rHeaderExtension = remoteCapabilities.headerExtensions[i];\n if (lHeaderExtension.uri === rHeaderExtension.uri) {\n commonCapabilities.headerExtensions.push(rHeaderExtension);\n break;\n }\n }\n });\n\n // FIXME: fecMechanisms\n return commonCapabilities;\n }\n\n// is action=setLocalDescription with type allowed in signalingState\n function isActionAllowedInSignalingState(action, type, signalingState) {\n return {\n offer: {\n setLocalDescription: ['stable', 'have-local-offer'],\n setRemoteDescription: ['stable', 'have-remote-offer']\n },\n answer: {\n setLocalDescription: ['have-remote-offer', 'have-local-pranswer'],\n setRemoteDescription: ['have-local-offer', 'have-remote-pranswer']\n }\n }[type][action].indexOf(signalingState) !== -1;\n }\n\n function maybeAddCandidate(iceTransport, candidate) {\n // Edge's internal representation adds some fields therefore\n // not all fieldÑ are taken into account.\n var alreadyAdded = iceTransport.getRemoteCandidates()\n .find(function(remoteCandidate) {\n return candidate.foundation === remoteCandidate.foundation &&\n candidate.ip === remoteCandidate.ip &&\n candidate.port === remoteCandidate.port &&\n candidate.priority === remoteCandidate.priority &&\n candidate.protocol === remoteCandidate.protocol &&\n candidate.type === remoteCandidate.type;\n });\n if (!alreadyAdded) {\n iceTransport.addRemoteCandidate(candidate);\n }\n return !alreadyAdded;\n }\n\n\n function makeError(name, description) {\n var e = new Error(description);\n e.name = name;\n // legacy error codes from https://heycam.github.io/webidl/#idl-DOMException-error-names\n e.code = {\n NotSupportedError: 9,\n InvalidStateError: 11,\n InvalidAccessError: 15,\n TypeError: undefined,\n OperationError: undefined\n }[name];\n return e;\n }\n\n module.exports = function(window, edgeVersion) {\n // https://w3c.github.io/mediacapture-main/#mediastream\n // Helper function to add the track to the stream and\n // dispatch the event ourselves.\n function addTrackToStreamAndFireEvent(track, stream) {\n stream.addTrack(track);\n stream.dispatchEvent(new window.MediaStreamTrackEvent('addtrack',\n {track: track}));\n }\n\n function removeTrackFromStreamAndFireEvent(track, stream) {\n stream.removeTrack(track);\n stream.dispatchEvent(new window.MediaStreamTrackEvent('removetrack',\n {track: track}));\n }\n\n function fireAddTrack(pc, track, receiver, streams) {\n var trackEvent = new Event('track');\n trackEvent.track = track;\n trackEvent.receiver = receiver;\n trackEvent.transceiver = {receiver: receiver};\n trackEvent.streams = streams;\n window.setTimeout(function() {\n pc._dispatchEvent('track', trackEvent);\n });\n }\n\n var RTCPeerConnection = function(config) {\n var pc = this;\n\n var _eventTarget = document.createDocumentFragment();\n ['addEventListener', 'removeEventListener', 'dispatchEvent']\n .forEach(function(method) {\n pc[method] = _eventTarget[method].bind(_eventTarget);\n });\n\n this.canTrickleIceCandidates = null;\n\n this.needNegotiation = false;\n\n this.localStreams = [];\n this.remoteStreams = [];\n\n this._localDescription = null;\n this._remoteDescription = null;\n\n this.signalingState = 'stable';\n this.iceConnectionState = 'new';\n this.connectionState = 'new';\n this.iceGatheringState = 'new';\n\n config = JSON.parse(JSON.stringify(config || {}));\n\n this.usingBundle = config.bundlePolicy === 'max-bundle';\n if (config.rtcpMuxPolicy === 'negotiate') {\n throw(makeError('NotSupportedError',\n 'rtcpMuxPolicy \\'negotiate\\' is not supported'));\n } else if (!config.rtcpMuxPolicy) {\n config.rtcpMuxPolicy = 'require';\n }\n\n switch (config.iceTransportPolicy) {\n case 'all':\n case 'relay':\n break;\n default:\n config.iceTransportPolicy = 'all';\n break;\n }\n\n switch (config.bundlePolicy) {\n case 'balanced':\n case 'max-compat':\n case 'max-bundle':\n break;\n default:\n config.bundlePolicy = 'balanced';\n break;\n }\n\n config.iceServers = filterIceServers(config.iceServers || [], edgeVersion);\n\n this._iceGatherers = [];\n if (config.iceCandidatePoolSize) {\n for (var i = config.iceCandidatePoolSize; i > 0; i--) {\n this._iceGatherers.push(new window.RTCIceGatherer({\n iceServers: config.iceServers,\n gatherPolicy: config.iceTransportPolicy\n }));\n }\n } else {\n config.iceCandidatePoolSize = 0;\n }\n\n this._config = config;\n\n // per-track iceGathers, iceTransports, dtlsTransports, rtpSenders, ...\n // everything that is needed to describe a SDP m-line.\n this.transceivers = [];\n\n this._sdpSessionId = SDPUtils.generateSessionId();\n this._sdpSessionVersion = 0;\n\n this._dtlsRole = undefined; // role for a=setup to use in answers.\n\n this._isClosed = false;\n };\n\n Object.defineProperty(RTCPeerConnection.prototype, 'localDescription', {\n configurable: true,\n get: function() {\n return this._localDescription;\n }\n });\n Object.defineProperty(RTCPeerConnection.prototype, 'remoteDescription', {\n configurable: true,\n get: function() {\n return this._remoteDescription;\n }\n });\n\n // set up event handlers on prototype\n RTCPeerConnection.prototype.onicecandidate = null;\n RTCPeerConnection.prototype.onaddstream = null;\n RTCPeerConnection.prototype.ontrack = null;\n RTCPeerConnection.prototype.onremovestream = null;\n RTCPeerConnection.prototype.onsignalingstatechange = null;\n RTCPeerConnection.prototype.oniceconnectionstatechange = null;\n RTCPeerConnection.prototype.onconnectionstatechange = null;\n RTCPeerConnection.prototype.onicegatheringstatechange = null;\n RTCPeerConnection.prototype.onnegotiationneeded = null;\n RTCPeerConnection.prototype.ondatachannel = null;\n\n RTCPeerConnection.prototype._dispatchEvent = function(name, event) {\n if (this._isClosed) {\n return;\n }\n this.dispatchEvent(event);\n if (typeof this['on' + name] === 'function') {\n this['on' + name](event);\n }\n };\n\n RTCPeerConnection.prototype._emitGatheringStateChange = function() {\n var event = new Event('icegatheringstatechange');\n this._dispatchEvent('icegatheringstatechange', event);\n };\n\n RTCPeerConnection.prototype.getConfiguration = function() {\n return this._config;\n };\n\n RTCPeerConnection.prototype.getLocalStreams = function() {\n return this.localStreams;\n };\n\n RTCPeerConnection.prototype.getRemoteStreams = function() {\n return this.remoteStreams;\n };\n\n // internal helper to create a transceiver object.\n // (which is not yet the same as the WebRTC 1.0 transceiver)\n RTCPeerConnection.prototype._createTransceiver = function(kind, doNotAdd) {\n var hasBundleTransport = this.transceivers.length > 0;\n var transceiver = {\n track: null,\n iceGatherer: null,\n iceTransport: null,\n dtlsTransport: null,\n localCapabilities: null,\n remoteCapabilities: null,\n rtpSender: null,\n rtpReceiver: null,\n kind: kind,\n mid: null,\n sendEncodingParameters: null,\n recvEncodingParameters: null,\n stream: null,\n associatedRemoteMediaStreams: [],\n wantReceive: true\n };\n if (this.usingBundle && hasBundleTransport) {\n transceiver.iceTransport = this.transceivers[0].iceTransport;\n transceiver.dtlsTransport = this.transceivers[0].dtlsTransport;\n } else {\n var transports = this._createIceAndDtlsTransports();\n transceiver.iceTransport = transports.iceTransport;\n transceiver.dtlsTransport = transports.dtlsTransport;\n }\n if (!doNotAdd) {\n this.transceivers.push(transceiver);\n }\n return transceiver;\n };\n\n RTCPeerConnection.prototype.addTrack = function(track, stream) {\n if (this._isClosed) {\n throw makeError('InvalidStateError',\n 'Attempted to call addTrack on a closed peerconnection.');\n }\n\n var alreadyExists = this.transceivers.find(function(s) {\n return s.track === track;\n });\n\n if (alreadyExists) {\n throw makeError('InvalidAccessError', 'Track already exists.');\n }\n\n var transceiver;\n for (var i = 0; i < this.transceivers.length; i++) {\n if (!this.transceivers[i].track &&\n this.transceivers[i].kind === track.kind) {\n transceiver = this.transceivers[i];\n }\n }\n if (!transceiver) {\n transceiver = this._createTransceiver(track.kind);\n }\n\n this._maybeFireNegotiationNeeded();\n\n if (this.localStreams.indexOf(stream) === -1) {\n this.localStreams.push(stream);\n }\n\n transceiver.track = track;\n transceiver.stream = stream;\n transceiver.rtpSender = new window.RTCRtpSender(track,\n transceiver.dtlsTransport);\n return transceiver.rtpSender;\n };\n\n RTCPeerConnection.prototype.addStream = function(stream) {\n var pc = this;\n if (edgeVersion >= 15025) {\n stream.getTracks().forEach(function(track) {\n pc.addTrack(track, stream);\n });\n } else {\n // Clone is necessary for local demos mostly, attaching directly\n // to two different senders does not work (build 10547).\n // Fixed in 15025 (or earlier)\n var clonedStream = stream.clone();\n stream.getTracks().forEach(function(track, idx) {\n var clonedTrack = clonedStream.getTracks()[idx];\n track.addEventListener('enabled', function(event) {\n clonedTrack.enabled = event.enabled;\n });\n });\n clonedStream.getTracks().forEach(function(track) {\n pc.addTrack(track, clonedStream);\n });\n }\n };\n\n RTCPeerConnection.prototype.removeTrack = function(sender) {\n if (this._isClosed) {\n throw makeError('InvalidStateError',\n 'Attempted to call removeTrack on a closed peerconnection.');\n }\n\n if (!(sender instanceof window.RTCRtpSender)) {\n throw new TypeError('Argument 1 of RTCPeerConnection.removeTrack ' +\n 'does not implement interface RTCRtpSender.');\n }\n\n var transceiver = this.transceivers.find(function(t) {\n return t.rtpSender === sender;\n });\n\n if (!transceiver) {\n throw makeError('InvalidAccessError',\n 'Sender was not created by this connection.');\n }\n var stream = transceiver.stream;\n\n transceiver.rtpSender.stop();\n transceiver.rtpSender = null;\n transceiver.track = null;\n transceiver.stream = null;\n\n // remove the stream from the set of local streams\n var localStreams = this.transceivers.map(function(t) {\n return t.stream;\n });\n if (localStreams.indexOf(stream) === -1 &&\n this.localStreams.indexOf(stream) > -1) {\n this.localStreams.splice(this.localStreams.indexOf(stream), 1);\n }\n\n this._maybeFireNegotiationNeeded();\n };\n\n RTCPeerConnection.prototype.removeStream = function(stream) {\n var pc = this;\n stream.getTracks().forEach(function(track) {\n var sender = pc.getSenders().find(function(s) {\n return s.track === track;\n });\n if (sender) {\n pc.removeTrack(sender);\n }\n });\n };\n\n RTCPeerConnection.prototype.getSenders = function() {\n return this.transceivers.filter(function(transceiver) {\n return !!transceiver.rtpSender;\n })\n .map(function(transceiver) {\n return transceiver.rtpSender;\n });\n };\n\n RTCPeerConnection.prototype.getReceivers = function() {\n return this.transceivers.filter(function(transceiver) {\n return !!transceiver.rtpReceiver;\n })\n .map(function(transceiver) {\n return transceiver.rtpReceiver;\n });\n };\n\n\n RTCPeerConnection.prototype._createIceGatherer = function(sdpMLineIndex,\n usingBundle) {\n var pc = this;\n if (usingBundle && sdpMLineIndex > 0) {\n return this.transceivers[0].iceGatherer;\n } else if (this._iceGatherers.length) {\n return this._iceGatherers.shift();\n }\n var iceGatherer = new window.RTCIceGatherer({\n iceServers: this._config.iceServers,\n gatherPolicy: this._config.iceTransportPolicy\n });\n Object.defineProperty(iceGatherer, 'state',\n {value: 'new', writable: true}\n );\n\n this.transceivers[sdpMLineIndex].bufferedCandidateEvents = [];\n this.transceivers[sdpMLineIndex].bufferCandidates = function(event) {\n var end = !event.candidate || Object.keys(event.candidate).length === 0;\n // polyfill since RTCIceGatherer.state is not implemented in\n // Edge 10547 yet.\n iceGatherer.state = end ? 'completed' : 'gathering';\n if (pc.transceivers[sdpMLineIndex].bufferedCandidateEvents !== null) {\n pc.transceivers[sdpMLineIndex].bufferedCandidateEvents.push(event);\n }\n };\n iceGatherer.addEventListener('localcandidate',\n this.transceivers[sdpMLineIndex].bufferCandidates);\n return iceGatherer;\n };\n\n // start gathering from an RTCIceGatherer.\n RTCPeerConnection.prototype._gather = function(mid, sdpMLineIndex) {\n var pc = this;\n var iceGatherer = this.transceivers[sdpMLineIndex].iceGatherer;\n if (iceGatherer.onlocalcandidate) {\n return;\n }\n var bufferedCandidateEvents =\n this.transceivers[sdpMLineIndex].bufferedCandidateEvents;\n this.transceivers[sdpMLineIndex].bufferedCandidateEvents = null;\n iceGatherer.removeEventListener('localcandidate',\n this.transceivers[sdpMLineIndex].bufferCandidates);\n iceGatherer.onlocalcandidate = function(evt) {\n if (pc.usingBundle && sdpMLineIndex > 0) {\n // if we know that we use bundle we can drop candidates with\n // ÑdpMLineIndex > 0. If we don't do this then our state gets\n // confused since we dispose the extra ice gatherer.\n return;\n }\n var event = new Event('icecandidate');\n event.candidate = {sdpMid: mid, sdpMLineIndex: sdpMLineIndex};\n\n var cand = evt.candidate;\n // Edge emits an empty object for RTCIceCandidateCompleteâ¥\n var end = !cand || Object.keys(cand).length === 0;\n if (end) {\n // polyfill since RTCIceGatherer.state is not implemented in\n // Edge 10547 yet.\n if (iceGatherer.state === 'new' || iceGatherer.state === 'gathering') {\n iceGatherer.state = 'completed';\n }\n } else {\n if (iceGatherer.state === 'new') {\n iceGatherer.state = 'gathering';\n }\n // RTCIceCandidate doesn't have a component, needs to be added\n cand.component = 1;\n // also the usernameFragment. TODO: update SDP to take both variants.\n cand.ufrag = iceGatherer.getLocalParameters().usernameFragment;\n\n var serializedCandidate = SDPUtils.writeCandidate(cand);\n event.candidate = Object.assign(event.candidate,\n SDPUtils.parseCandidate(serializedCandidate));\n\n event.candidate.candidate = serializedCandidate;\n event.candidate.toJSON = function() {\n return {\n candidate: event.candidate.candidate,\n sdpMid: event.candidate.sdpMid,\n sdpMLineIndex: event.candidate.sdpMLineIndex,\n usernameFragment: event.candidate.usernameFragment\n };\n };\n }\n\n // update local description.\n var sections = SDPUtils.getMediaSections(pc._localDescription.sdp);\n if (!end) {\n sections[event.candidate.sdpMLineIndex] +=\n 'a=' + event.candidate.candidate + '\\r\\n';\n } else {\n sections[event.candidate.sdpMLineIndex] +=\n 'a=end-of-candidates\\r\\n';\n }\n pc._localDescription.sdp =\n SDPUtils.getDescription(pc._localDescription.sdp) +\n sections.join('');\n var complete = pc.transceivers.every(function(transceiver) {\n return transceiver.iceGatherer &&\n transceiver.iceGatherer.state === 'completed';\n });\n\n if (pc.iceGatheringState !== 'gathering') {\n pc.iceGatheringState = 'gathering';\n pc._emitGatheringStateChange();\n }\n\n // Emit candidate. Also emit null candidate when all gatherers are\n // complete.\n if (!end) {\n pc._dispatchEvent('icecandidate', event);\n }\n if (complete) {\n pc._dispatchEvent('icecandidate', new Event('icecandidate'));\n pc.iceGatheringState = 'complete';\n pc._emitGatheringStateChange();\n }\n };\n\n // emit already gathered candidates.\n window.setTimeout(function() {\n bufferedCandidateEvents.forEach(function(e) {\n iceGatherer.onlocalcandidate(e);\n });\n }, 0);\n };\n\n // Create ICE transport and DTLS transport.\n RTCPeerConnection.prototype._createIceAndDtlsTransports = function() {\n var pc = this;\n var iceTransport = new window.RTCIceTransport(null);\n iceTransport.onicestatechange = function() {\n pc._updateIceConnectionState();\n pc._updateConnectionState();\n };\n\n var dtlsTransport = new window.RTCDtlsTransport(iceTransport);\n dtlsTransport.ondtlsstatechange = function() {\n pc._updateConnectionState();\n };\n dtlsTransport.onerror = function() {\n // onerror does not set state to failed by itself.\n Object.defineProperty(dtlsTransport, 'state',\n {value: 'failed', writable: true});\n pc._updateConnectionState();\n };\n\n return {\n iceTransport: iceTransport,\n dtlsTransport: dtlsTransport\n };\n };\n\n // Destroy ICE gatherer, ICE transport and DTLS transport.\n // Without triggering the callbacks.\n RTCPeerConnection.prototype._disposeIceAndDtlsTransports = function(\n sdpMLineIndex) {\n var iceGatherer = this.transceivers[sdpMLineIndex].iceGatherer;\n if (iceGatherer) {\n delete iceGatherer.onlocalcandidate;\n delete this.transceivers[sdpMLineIndex].iceGatherer;\n }\n var iceTransport = this.transceivers[sdpMLineIndex].iceTransport;\n if (iceTransport) {\n delete iceTransport.onicestatechange;\n delete this.transceivers[sdpMLineIndex].iceTransport;\n }\n var dtlsTransport = this.transceivers[sdpMLineIndex].dtlsTransport;\n if (dtlsTransport) {\n delete dtlsTransport.ondtlsstatechange;\n delete dtlsTransport.onerror;\n delete this.transceivers[sdpMLineIndex].dtlsTransport;\n }\n };\n\n // Start the RTP Sender and Receiver for a transceiver.\n RTCPeerConnection.prototype._transceive = function(transceiver,\n send, recv) {\n var params = getCommonCapabilities(transceiver.localCapabilities,\n transceiver.remoteCapabilities);\n if (send && transceiver.rtpSender) {\n params.encodings = transceiver.sendEncodingParameters;\n params.rtcp = {\n cname: SDPUtils.localCName,\n compound: transceiver.rtcpParameters.compound\n };\n if (transceiver.recvEncodingParameters.length) {\n params.rtcp.ssrc = transceiver.recvEncodingParameters[0].ssrc;\n }\n transceiver.rtpSender.send(params);\n }\n if (recv && transceiver.rtpReceiver && params.codecs.length > 0) {\n // remove RTX field in Edge 14942\n if (transceiver.kind === 'video'\n && transceiver.recvEncodingParameters\n && edgeVersion < 15019) {\n transceiver.recvEncodingParameters.forEach(function(p) {\n delete p.rtx;\n });\n }\n if (transceiver.recvEncodingParameters.length) {\n params.encodings = transceiver.recvEncodingParameters;\n } else {\n params.encodings = [{}];\n }\n params.rtcp = {\n compound: transceiver.rtcpParameters.compound\n };\n if (transceiver.rtcpParameters.cname) {\n params.rtcp.cname = transceiver.rtcpParameters.cname;\n }\n if (transceiver.sendEncodingParameters.length) {\n params.rtcp.ssrc = transceiver.sendEncodingParameters[0].ssrc;\n }\n transceiver.rtpReceiver.receive(params);\n }\n };\n\n RTCPeerConnection.prototype.setLocalDescription = function(description) {\n var pc = this;\n\n // Note: pranswer is not supported.\n if (['offer', 'answer'].indexOf(description.type) === -1) {\n return Promise.reject(makeError('TypeError',\n 'Unsupported type \"' + description.type + '\"'));\n }\n\n if (!isActionAllowedInSignalingState('setLocalDescription',\n description.type, pc.signalingState) || pc._isClosed) {\n return Promise.reject(makeError('InvalidStateError',\n 'Can not set local ' + description.type +\n ' in state ' + pc.signalingState));\n }\n\n var sections;\n var sessionpart;\n if (description.type === 'offer') {\n // VERY limited support for SDP munging. Limited to:\n // * changing the order of codecs\n sections = SDPUtils.splitSections(description.sdp);\n sessionpart = sections.shift();\n sections.forEach(function(mediaSection, sdpMLineIndex) {\n var caps = SDPUtils.parseRtpParameters(mediaSection);\n pc.transceivers[sdpMLineIndex].localCapabilities = caps;\n });\n\n pc.transceivers.forEach(function(transceiver, sdpMLineIndex) {\n pc._gather(transceiver.mid, sdpMLineIndex);\n });\n } else if (description.type === 'answer') {\n sections = SDPUtils.splitSections(pc._remoteDescription.sdp);\n sessionpart = sections.shift();\n var isIceLite = SDPUtils.matchPrefix(sessionpart,\n 'a=ice-lite').length > 0;\n sections.forEach(function(mediaSection, sdpMLineIndex) {\n var transceiver = pc.transceivers[sdpMLineIndex];\n var iceGatherer = transceiver.iceGatherer;\n var iceTransport = transceiver.iceTransport;\n var dtlsTransport = transceiver.dtlsTransport;\n var localCapabilities = transceiver.localCapabilities;\n var remoteCapabilities = transceiver.remoteCapabilities;\n\n // treat bundle-only as not-rejected.\n var rejected = SDPUtils.isRejected(mediaSection) &&\n SDPUtils.matchPrefix(mediaSection, 'a=bundle-only').length === 0;\n\n if (!rejected && !transceiver.rejected) {\n var remoteIceParameters = SDPUtils.getIceParameters(\n mediaSection, sessionpart);\n var remoteDtlsParameters = SDPUtils.getDtlsParameters(\n mediaSection, sessionpart);\n if (isIceLite) {\n remoteDtlsParameters.role = 'server';\n }\n\n if (!pc.usingBundle || sdpMLineIndex === 0) {\n pc._gather(transceiver.mid, sdpMLineIndex);\n if (iceTransport.state === 'new') {\n iceTransport.start(iceGatherer, remoteIceParameters,\n isIceLite ? 'controlling' : 'controlled');\n }\n if (dtlsTransport.state === 'new') {\n dtlsTransport.start(remoteDtlsParameters);\n }\n }\n\n // Calculate intersection of capabilities.\n var params = getCommonCapabilities(localCapabilities,\n remoteCapabilities);\n\n // Start the RTCRtpSender. The RTCRtpReceiver for this\n // transceiver has already been started in setRemoteDescription.\n pc._transceive(transceiver,\n params.codecs.length > 0,\n false);\n }\n });\n }\n\n pc._localDescription = {\n type: description.type,\n sdp: description.sdp\n };\n if (description.type === 'offer') {\n pc._updateSignalingState('have-local-offer');\n } else {\n pc._updateSignalingState('stable');\n }\n\n return Promise.resolve();\n };\n\n RTCPeerConnection.prototype.setRemoteDescription = function(description) {\n var pc = this;\n\n // Note: pranswer is not supported.\n if (['offer', 'answer'].indexOf(description.type) === -1) {\n return Promise.reject(makeError('TypeError',\n 'Unsupported type \"' + description.type + '\"'));\n }\n\n if (!isActionAllowedInSignalingState('setRemoteDescription',\n description.type, pc.signalingState) || pc._isClosed) {\n return Promise.reject(makeError('InvalidStateError',\n 'Can not set remote ' + description.type +\n ' in state ' + pc.signalingState));\n }\n\n var streams = {};\n pc.remoteStreams.forEach(function(stream) {\n streams[stream.id] = stream;\n });\n var receiverList = [];\n var sections = SDPUtils.splitSections(description.sdp);\n var sessionpart = sections.shift();\n var isIceLite = SDPUtils.matchPrefix(sessionpart,\n 'a=ice-lite').length > 0;\n var usingBundle = SDPUtils.matchPrefix(sessionpart,\n 'a=group:BUNDLE ').length > 0;\n pc.usingBundle = usingBundle;\n var iceOptions = SDPUtils.matchPrefix(sessionpart,\n 'a=ice-options:')[0];\n if (iceOptions) {\n pc.canTrickleIceCandidates = iceOptions.substr(14).split(' ')\n .indexOf('trickle') >= 0;\n } else {\n pc.canTrickleIceCandidates = false;\n }\n\n sections.forEach(function(mediaSection, sdpMLineIndex) {\n var lines = SDPUtils.splitLines(mediaSection);\n var kind = SDPUtils.getKind(mediaSection);\n // treat bundle-only as not-rejected.\n var rejected = SDPUtils.isRejected(mediaSection) &&\n SDPUtils.matchPrefix(mediaSection, 'a=bundle-only').length === 0;\n var protocol = lines[0].substr(2).split(' ')[2];\n\n var direction = SDPUtils.getDirection(mediaSection, sessionpart);\n var remoteMsid = SDPUtils.parseMsid(mediaSection);\n\n var mid = SDPUtils.getMid(mediaSection) || SDPUtils.generateIdentifier();\n\n // Reject datachannels which are not implemented yet.\n if (rejected || (kind === 'application' && (protocol === 'DTLS/SCTP' ||\n protocol === 'UDP/DTLS/SCTP'))) {\n // TODO: this is dangerous in the case where a non-rejected m-line\n // becomes rejected.\n pc.transceivers[sdpMLineIndex] = {\n mid: mid,\n kind: kind,\n protocol: protocol,\n rejected: true\n };\n return;\n }\n\n if (!rejected && pc.transceivers[sdpMLineIndex] &&\n pc.transceivers[sdpMLineIndex].rejected) {\n // recycle a rejected transceiver.\n pc.transceivers[sdpMLineIndex] = pc._createTransceiver(kind, true);\n }\n\n var transceiver;\n var iceGatherer;\n var iceTransport;\n var dtlsTransport;\n var rtpReceiver;\n var sendEncodingParameters;\n var recvEncodingParameters;\n var localCapabilities;\n\n var track;\n // FIXME: ensure the mediaSection has rtcp-mux set.\n var remoteCapabilities = SDPUtils.parseRtpParameters(mediaSection);\n var remoteIceParameters;\n var remoteDtlsParameters;\n if (!rejected) {\n remoteIceParameters = SDPUtils.getIceParameters(mediaSection,\n sessionpart);\n remoteDtlsParameters = SDPUtils.getDtlsParameters(mediaSection,\n sessionpart);\n remoteDtlsParameters.role = 'client';\n }\n recvEncodingParameters =\n SDPUtils.parseRtpEncodingParameters(mediaSection);\n\n var rtcpParameters = SDPUtils.parseRtcpParameters(mediaSection);\n\n var isComplete = SDPUtils.matchPrefix(mediaSection,\n 'a=end-of-candidates', sessionpart).length > 0;\n var cands = SDPUtils.matchPrefix(mediaSection, 'a=candidate:')\n .map(function(cand) {\n return SDPUtils.parseCandidate(cand);\n })\n .filter(function(cand) {\n return cand.component === 1;\n });\n\n // Check if we can use BUNDLE and dispose transports.\n if ((description.type === 'offer' || description.type === 'answer') &&\n !rejected && usingBundle && sdpMLineIndex > 0 &&\n pc.transceivers[sdpMLineIndex]) {\n pc._disposeIceAndDtlsTransports(sdpMLineIndex);\n pc.transceivers[sdpMLineIndex].iceGatherer =\n pc.transceivers[0].iceGatherer;\n pc.transceivers[sdpMLineIndex].iceTransport =\n pc.transceivers[0].iceTransport;\n pc.transceivers[sdpMLineIndex].dtlsTransport =\n pc.transceivers[0].dtlsTransport;\n if (pc.transceivers[sdpMLineIndex].rtpSender) {\n pc.transceivers[sdpMLineIndex].rtpSender.setTransport(\n pc.transceivers[0].dtlsTransport);\n }\n if (pc.transceivers[sdpMLineIndex].rtpReceiver) {\n pc.transceivers[sdpMLineIndex].rtpReceiver.setTransport(\n pc.transceivers[0].dtlsTransport);\n }\n }\n if (description.type === 'offer' && !rejected) {\n transceiver = pc.transceivers[sdpMLineIndex] ||\n pc._createTransceiver(kind);\n transceiver.mid = mid;\n\n if (!transceiver.iceGatherer) {\n transceiver.iceGatherer = pc._createIceGatherer(sdpMLineIndex,\n usingBundle);\n }\n\n if (cands.length && transceiver.iceTransport.state === 'new') {\n if (isComplete && (!usingBundle || sdpMLineIndex === 0)) {\n transceiver.iceTransport.setRemoteCandidates(cands);\n } else {\n cands.forEach(function(candidate) {\n maybeAddCandidate(transceiver.iceTransport, candidate);\n });\n }\n }\n\n localCapabilities = window.RTCRtpReceiver.getCapabilities(kind);\n\n // filter RTX until additional stuff needed for RTX is implemented\n // in adapter.js\n if (edgeVersion < 15019) {\n localCapabilities.codecs = localCapabilities.codecs.filter(\n function(codec) {\n return codec.name !== 'rtx';\n });\n }\n\n sendEncodingParameters = transceiver.sendEncodingParameters || [{\n ssrc: (2 * sdpMLineIndex + 2) * 1001\n }];\n\n // TODO: rewrite to use http://w3c.github.io/webrtc-pc/#set-associated-remote-streams\n var isNewTrack = false;\n if (direction === 'sendrecv' || direction === 'sendonly') {\n isNewTrack = !transceiver.rtpReceiver;\n rtpReceiver = transceiver.rtpReceiver ||\n new window.RTCRtpReceiver(transceiver.dtlsTransport, kind);\n\n if (isNewTrack) {\n var stream;\n track = rtpReceiver.track;\n // FIXME: does not work with Plan B.\n if (remoteMsid && remoteMsid.stream === '-') {\n // no-op. a stream id of '-' means: no associated stream.\n } else if (remoteMsid) {\n if (!streams[remoteMsid.stream]) {\n streams[remoteMsid.stream] = new window.MediaStream();\n Object.defineProperty(streams[remoteMsid.stream], 'id', {\n get: function() {\n return remoteMsid.stream;\n }\n });\n }\n Object.defineProperty(track, 'id', {\n get: function() {\n return remoteMsid.track;\n }\n });\n stream = streams[remoteMsid.stream];\n } else {\n if (!streams.default) {\n streams.default = new window.MediaStream();\n }\n stream = streams.default;\n }\n if (stream) {\n addTrackToStreamAndFireEvent(track, stream);\n transceiver.associatedRemoteMediaStreams.push(stream);\n }\n receiverList.push([track, rtpReceiver, stream]);\n }\n } else if (transceiver.rtpReceiver && transceiver.rtpReceiver.track) {\n transceiver.associatedRemoteMediaStreams.forEach(function(s) {\n var nativeTrack = s.getTracks().find(function(t) {\n return t.id === transceiver.rtpReceiver.track.id;\n });\n if (nativeTrack) {\n removeTrackFromStreamAndFireEvent(nativeTrack, s);\n }\n });\n transceiver.associatedRemoteMediaStreams = [];\n }\n\n transceiver.localCapabilities = localCapabilities;\n transceiver.remoteCapabilities = remoteCapabilities;\n transceiver.rtpReceiver = rtpReceiver;\n transceiver.rtcpParameters = rtcpParameters;\n transceiver.sendEncodingParameters = sendEncodingParameters;\n transceiver.recvEncodingParameters = recvEncodingParameters;\n\n // Start the RTCRtpReceiver now. The RTPSender is started in\n // setLocalDescription.\n pc._transceive(pc.transceivers[sdpMLineIndex],\n false,\n isNewTrack);\n } else if (description.type === 'answer' && !rejected) {\n transceiver = pc.transceivers[sdpMLineIndex];\n iceGatherer = transceiver.iceGatherer;\n iceTransport = transceiver.iceTransport;\n dtlsTransport = transceiver.dtlsTransport;\n rtpReceiver = transceiver.rtpReceiver;\n sendEncodingParameters = transceiver.sendEncodingParameters;\n localCapabilities = transceiver.localCapabilities;\n\n pc.transceivers[sdpMLineIndex].recvEncodingParameters =\n recvEncodingParameters;\n pc.transceivers[sdpMLineIndex].remoteCapabilities =\n remoteCapabilities;\n pc.transceivers[sdpMLineIndex].rtcpParameters = rtcpParameters;\n\n if (cands.length && iceTransport.state === 'new') {\n if ((isIceLite || isComplete) &&\n (!usingBundle || sdpMLineIndex === 0)) {\n iceTransport.setRemoteCandidates(cands);\n } else {\n cands.forEach(function(candidate) {\n maybeAddCandidate(transceiver.iceTransport, candidate);\n });\n }\n }\n\n if (!usingBundle || sdpMLineIndex === 0) {\n if (iceTransport.state === 'new') {\n iceTransport.start(iceGatherer, remoteIceParameters,\n 'controlling');\n }\n if (dtlsTransport.state === 'new') {\n dtlsTransport.start(remoteDtlsParameters);\n }\n }\n\n // If the offer contained RTX but the answer did not,\n // remove RTX from sendEncodingParameters.\n var commonCapabilities = getCommonCapabilities(\n transceiver.localCapabilities,\n transceiver.remoteCapabilities);\n\n var hasRtx = commonCapabilities.codecs.filter(function(c) {\n return c.name.toLowerCase() === 'rtx';\n }).length;\n if (!hasRtx && transceiver.sendEncodingParameters[0].rtx) {\n delete transceiver.sendEncodingParameters[0].rtx;\n }\n\n pc._transceive(transceiver,\n direction === 'sendrecv' || direction === 'recvonly',\n direction === 'sendrecv' || direction === 'sendonly');\n\n // TODO: rewrite to use http://w3c.github.io/webrtc-pc/#set-associated-remote-streams\n if (rtpReceiver &&\n (direction === 'sendrecv' || direction === 'sendonly')) {\n track = rtpReceiver.track;\n if (remoteMsid) {\n if (!streams[remoteMsid.stream]) {\n streams[remoteMsid.stream] = new window.MediaStream();\n }\n addTrackToStreamAndFireEvent(track, streams[remoteMsid.stream]);\n receiverList.push([track, rtpReceiver, streams[remoteMsid.stream]]);\n } else {\n if (!streams.default) {\n streams.default = new window.MediaStream();\n }\n addTrackToStreamAndFireEvent(track, streams.default);\n receiverList.push([track, rtpReceiver, streams.default]);\n }\n } else {\n // FIXME: actually the receiver should be created later.\n delete transceiver.rtpReceiver;\n }\n }\n });\n\n if (pc._dtlsRole === undefined) {\n pc._dtlsRole = description.type === 'offer' ? 'active' : 'passive';\n }\n\n pc._remoteDescription = {\n type: description.type,\n sdp: description.sdp\n };\n if (description.type === 'offer') {\n pc._updateSignalingState('have-remote-offer');\n } else {\n pc._updateSignalingState('stable');\n }\n Object.keys(streams).forEach(function(sid) {\n var stream = streams[sid];\n if (stream.getTracks().length) {\n if (pc.remoteStreams.indexOf(stream) === -1) {\n pc.remoteStreams.push(stream);\n var event = new Event('addstream');\n event.stream = stream;\n window.setTimeout(function() {\n pc._dispatchEvent('addstream', event);\n });\n }\n\n receiverList.forEach(function(item) {\n var track = item[0];\n var receiver = item[1];\n if (stream.id !== item[2].id) {\n return;\n }\n fireAddTrack(pc, track, receiver, [stream]);\n });\n }\n });\n receiverList.forEach(function(item) {\n if (item[2]) {\n return;\n }\n fireAddTrack(pc, item[0], item[1], []);\n });\n\n // check whether addIceCandidate({}) was called within four seconds after\n // setRemoteDescription.\n window.setTimeout(function() {\n if (!(pc && pc.transceivers)) {\n return;\n }\n pc.transceivers.forEach(function(transceiver) {\n if (transceiver.iceTransport &&\n transceiver.iceTransport.state === 'new' &&\n transceiver.iceTransport.getRemoteCandidates().length > 0) {\n console.warn('Timeout for addRemoteCandidate. Consider sending ' +\n 'an end-of-candidates notification');\n transceiver.iceTransport.addRemoteCandidate({});\n }\n });\n }, 4000);\n\n return Promise.resolve();\n };\n\n RTCPeerConnection.prototype.close = function() {\n this.transceivers.forEach(function(transceiver) {\n /* not yet\n if (transceiver.iceGatherer) {\n transceiver.iceGatherer.close();\n }\n */\n if (transceiver.iceTransport) {\n transceiver.iceTransport.stop();\n }\n if (transceiver.dtlsTransport) {\n transceiver.dtlsTransport.stop();\n }\n if (transceiver.rtpSender) {\n transceiver.rtpSender.stop();\n }\n if (transceiver.rtpReceiver) {\n transceiver.rtpReceiver.stop();\n }\n });\n // FIXME: clean up tracks, local streams, remote streams, etc\n this._isClosed = true;\n this._updateSignalingState('closed');\n };\n\n // Update the signaling state.\n RTCPeerConnection.prototype._updateSignalingState = function(newState) {\n this.signalingState = newState;\n var event = new Event('signalingstatechange');\n this._dispatchEvent('signalingstatechange', event);\n };\n\n // Determine whether to fire the negotiationneeded event.\n RTCPeerConnection.prototype._maybeFireNegotiationNeeded = function() {\n var pc = this;\n if (this.signalingState !== 'stable' || this.needNegotiation === true) {\n return;\n }\n this.needNegotiation = true;\n window.setTimeout(function() {\n if (pc.needNegotiation) {\n pc.needNegotiation = false;\n var event = new Event('negotiationneeded');\n pc._dispatchEvent('negotiationneeded', event);\n }\n }, 0);\n };\n\n // Update the ice connection state.\n RTCPeerConnection.prototype._updateIceConnectionState = function() {\n var newState;\n var states = {\n 'new': 0,\n closed: 0,\n checking: 0,\n connected: 0,\n completed: 0,\n disconnected: 0,\n failed: 0\n };\n this.transceivers.forEach(function(transceiver) {\n if (transceiver.iceTransport && !transceiver.rejected) {\n states[transceiver.iceTransport.state]++;\n }\n });\n\n newState = 'new';\n if (states.failed > 0) {\n newState = 'failed';\n } else if (states.checking > 0) {\n newState = 'checking';\n } else if (states.disconnected > 0) {\n newState = 'disconnected';\n } else if (states.new > 0) {\n newState = 'new';\n } else if (states.connected > 0) {\n newState = 'connected';\n } else if (states.completed > 0) {\n newState = 'completed';\n }\n\n if (newState !== this.iceConnectionState) {\n this.iceConnectionState = newState;\n var event = new Event('iceconnectionstatechange');\n this._dispatchEvent('iceconnectionstatechange', event);\n }\n };\n\n // Update the connection state.\n RTCPeerConnection.prototype._updateConnectionState = function() {\n var newState;\n var states = {\n 'new': 0,\n closed: 0,\n connecting: 0,\n connected: 0,\n completed: 0,\n disconnected: 0,\n failed: 0\n };\n this.transceivers.forEach(function(transceiver) {\n if (transceiver.iceTransport && transceiver.dtlsTransport &&\n !transceiver.rejected) {\n states[transceiver.iceTransport.state]++;\n states[transceiver.dtlsTransport.state]++;\n }\n });\n // ICETransport.completed and connected are the same for this purpose.\n states.connected += states.completed;\n\n newState = 'new';\n if (states.failed > 0) {\n newState = 'failed';\n } else if (states.connecting > 0) {\n newState = 'connecting';\n } else if (states.disconnected > 0) {\n newState = 'disconnected';\n } else if (states.new > 0) {\n newState = 'new';\n } else if (states.connected > 0) {\n newState = 'connected';\n }\n\n if (newState !== this.connectionState) {\n this.connectionState = newState;\n var event = new Event('connectionstatechange');\n this._dispatchEvent('connectionstatechange', event);\n }\n };\n\n RTCPeerConnection.prototype.createOffer = function() {\n var pc = this;\n\n if (pc._isClosed) {\n return Promise.reject(makeError('InvalidStateError',\n 'Can not call createOffer after close'));\n }\n\n var numAudioTracks = pc.transceivers.filter(function(t) {\n return t.kind === 'audio';\n }).length;\n var numVideoTracks = pc.transceivers.filter(function(t) {\n return t.kind === 'video';\n }).length;\n\n // Determine number of audio and video tracks we need to send/recv.\n var offerOptions = arguments[0];\n if (offerOptions) {\n // Reject Chrome legacy constraints.\n if (offerOptions.mandatory || offerOptions.optional) {\n throw new TypeError(\n 'Legacy mandatory/optional constraints not supported.');\n }\n if (offerOptions.offerToReceiveAudio !== undefined) {\n if (offerOptions.offerToReceiveAudio === true) {\n numAudioTracks = 1;\n } else if (offerOptions.offerToReceiveAudio === false) {\n numAudioTracks = 0;\n } else {\n numAudioTracks = offerOptions.offerToReceiveAudio;\n }\n }\n if (offerOptions.offerToReceiveVideo !== undefined) {\n if (offerOptions.offerToReceiveVideo === true) {\n numVideoTracks = 1;\n } else if (offerOptions.offerToReceiveVideo === false) {\n numVideoTracks = 0;\n } else {\n numVideoTracks = offerOptions.offerToReceiveVideo;\n }\n }\n }\n\n pc.transceivers.forEach(function(transceiver) {\n if (transceiver.kind === 'audio') {\n numAudioTracks--;\n if (numAudioTracks < 0) {\n transceiver.wantReceive = false;\n }\n } else if (transceiver.kind === 'video') {\n numVideoTracks--;\n if (numVideoTracks < 0) {\n transceiver.wantReceive = false;\n }\n }\n });\n\n // Create M-lines for recvonly streams.\n while (numAudioTracks > 0 || numVideoTracks > 0) {\n if (numAudioTracks > 0) {\n pc._createTransceiver('audio');\n numAudioTracks--;\n }\n if (numVideoTracks > 0) {\n pc._createTransceiver('video');\n numVideoTracks--;\n }\n }\n\n var sdp = SDPUtils.writeSessionBoilerplate(pc._sdpSessionId,\n pc._sdpSessionVersion++);\n pc.transceivers.forEach(function(transceiver, sdpMLineIndex) {\n // For each track, create an ice gatherer, ice transport,\n // dtls transport, potentially rtpsender and rtpreceiver.\n var track = transceiver.track;\n var kind = transceiver.kind;\n var mid = transceiver.mid || SDPUtils.generateIdentifier();\n transceiver.mid = mid;\n\n if (!transceiver.iceGatherer) {\n transceiver.iceGatherer = pc._createIceGatherer(sdpMLineIndex,\n pc.usingBundle);\n }\n\n var localCapabilities = window.RTCRtpSender.getCapabilities(kind);\n // filter RTX until additional stuff needed for RTX is implemented\n // in adapter.js\n if (edgeVersion < 15019) {\n localCapabilities.codecs = localCapabilities.codecs.filter(\n function(codec) {\n return codec.name !== 'rtx';\n });\n }\n localCapabilities.codecs.forEach(function(codec) {\n // work around https://bugs.chromium.org/p/webrtc/issues/detail?id=6552\n // by adding level-asymmetry-allowed=1\n if (codec.name === 'H264' &&\n codec.parameters['level-asymmetry-allowed'] === undefined) {\n codec.parameters['level-asymmetry-allowed'] = '1';\n }\n\n // for subsequent offers, we might have to re-use the payload\n // type of the last offer.\n if (transceiver.remoteCapabilities &&\n transceiver.remoteCapabilities.codecs) {\n transceiver.remoteCapabilities.codecs.forEach(function(remoteCodec) {\n if (codec.name.toLowerCase() === remoteCodec.name.toLowerCase() &&\n codec.clockRate === remoteCodec.clockRate) {\n codec.preferredPayloadType = remoteCodec.payloadType;\n }\n });\n }\n });\n localCapabilities.headerExtensions.forEach(function(hdrExt) {\n var remoteExtensions = transceiver.remoteCapabilities &&\n transceiver.remoteCapabilities.headerExtensions || [];\n remoteExtensions.forEach(function(rHdrExt) {\n if (hdrExt.uri === rHdrExt.uri) {\n hdrExt.id = rHdrExt.id;\n }\n });\n });\n\n // generate an ssrc now, to be used later in rtpSender.send\n var sendEncodingParameters = transceiver.sendEncodingParameters || [{\n ssrc: (2 * sdpMLineIndex + 1) * 1001\n }];\n if (track) {\n // add RTX\n if (edgeVersion >= 15019 && kind === 'video' &&\n !sendEncodingParameters[0].rtx) {\n sendEncodingParameters[0].rtx = {\n ssrc: sendEncodingParameters[0].ssrc + 1\n };\n }\n }\n\n if (transceiver.wantReceive) {\n transceiver.rtpReceiver = new window.RTCRtpReceiver(\n transceiver.dtlsTransport, kind);\n }\n\n transceiver.localCapabilities = localCapabilities;\n transceiver.sendEncodingParameters = sendEncodingParameters;\n });\n\n // always offer BUNDLE and dispose on return if not supported.\n if (pc._config.bundlePolicy !== 'max-compat') {\n sdp += 'a=group:BUNDLE ' + pc.transceivers.map(function(t) {\n return t.mid;\n }).join(' ') + '\\r\\n';\n }\n sdp += 'a=ice-options:trickle\\r\\n';\n\n pc.transceivers.forEach(function(transceiver, sdpMLineIndex) {\n sdp += writeMediaSection(transceiver, transceiver.localCapabilities,\n 'offer', transceiver.stream, pc._dtlsRole);\n sdp += 'a=rtcp-rsize\\r\\n';\n\n if (transceiver.iceGatherer && pc.iceGatheringState !== 'new' &&\n (sdpMLineIndex === 0 || !pc.usingBundle)) {\n transceiver.iceGatherer.getLocalCandidates().forEach(function(cand) {\n cand.component = 1;\n sdp += 'a=' + SDPUtils.writeCandidate(cand) + '\\r\\n';\n });\n\n if (transceiver.iceGatherer.state === 'completed') {\n sdp += 'a=end-of-candidates\\r\\n';\n }\n }\n });\n\n var desc = new window.RTCSessionDescription({\n type: 'offer',\n sdp: sdp\n });\n return Promise.resolve(desc);\n };\n\n RTCPeerConnection.prototype.createAnswer = function() {\n var pc = this;\n\n if (pc._isClosed) {\n return Promise.reject(makeError('InvalidStateError',\n 'Can not call createAnswer after close'));\n }\n\n if (!(pc.signalingState === 'have-remote-offer' ||\n pc.signalingState === 'have-local-pranswer')) {\n return Promise.reject(makeError('InvalidStateError',\n 'Can not call createAnswer in signalingState ' + pc.signalingState));\n }\n\n var sdp = SDPUtils.writeSessionBoilerplate(pc._sdpSessionId,\n pc._sdpSessionVersion++);\n if (pc.usingBundle) {\n sdp += 'a=group:BUNDLE ' + pc.transceivers.map(function(t) {\n return t.mid;\n }).join(' ') + '\\r\\n';\n }\n sdp += 'a=ice-options:trickle\\r\\n';\n\n var mediaSectionsInOffer = SDPUtils.getMediaSections(\n pc._remoteDescription.sdp).length;\n pc.transceivers.forEach(function(transceiver, sdpMLineIndex) {\n if (sdpMLineIndex + 1 > mediaSectionsInOffer) {\n return;\n }\n if (transceiver.rejected) {\n if (transceiver.kind === 'application') {\n if (transceiver.protocol === 'DTLS/SCTP') { // legacy fmt\n sdp += 'm=application 0 DTLS/SCTP 5000\\r\\n';\n } else {\n sdp += 'm=application 0 ' + transceiver.protocol +\n ' webrtc-datachannel\\r\\n';\n }\n } else if (transceiver.kind === 'audio') {\n sdp += 'm=audio 0 UDP/TLS/RTP/SAVPF 0\\r\\n' +\n 'a=rtpmap:0 PCMU/8000\\r\\n';\n } else if (transceiver.kind === 'video') {\n sdp += 'm=video 0 UDP/TLS/RTP/SAVPF 120\\r\\n' +\n 'a=rtpmap:120 VP8/90000\\r\\n';\n }\n sdp += 'c=IN IP4 0.0.0.0\\r\\n' +\n 'a=inactive\\r\\n' +\n 'a=mid:' + transceiver.mid + '\\r\\n';\n return;\n }\n\n // FIXME: look at direction.\n if (transceiver.stream) {\n var localTrack;\n if (transceiver.kind === 'audio') {\n localTrack = transceiver.stream.getAudioTracks()[0];\n } else if (transceiver.kind === 'video') {\n localTrack = transceiver.stream.getVideoTracks()[0];\n }\n if (localTrack) {\n // add RTX\n if (edgeVersion >= 15019 && transceiver.kind === 'video' &&\n !transceiver.sendEncodingParameters[0].rtx) {\n transceiver.sendEncodingParameters[0].rtx = {\n ssrc: transceiver.sendEncodingParameters[0].ssrc + 1\n };\n }\n }\n }\n\n // Calculate intersection of capabilities.\n var commonCapabilities = getCommonCapabilities(\n transceiver.localCapabilities,\n transceiver.remoteCapabilities);\n\n var hasRtx = commonCapabilities.codecs.filter(function(c) {\n return c.name.toLowerCase() === 'rtx';\n }).length;\n if (!hasRtx && transceiver.sendEncodingParameters[0].rtx) {\n delete transceiver.sendEncodingParameters[0].rtx;\n }\n\n sdp += writeMediaSection(transceiver, commonCapabilities,\n 'answer', transceiver.stream, pc._dtlsRole);\n if (transceiver.rtcpParameters &&\n transceiver.rtcpParameters.reducedSize) {\n sdp += 'a=rtcp-rsize\\r\\n';\n }\n });\n\n var desc = new window.RTCSessionDescription({\n type: 'answer',\n sdp: sdp\n });\n return Promise.resolve(desc);\n };\n\n RTCPeerConnection.prototype.addIceCandidate = function(candidate) {\n var pc = this;\n var sections;\n if (candidate && !(candidate.sdpMLineIndex !== undefined ||\n candidate.sdpMid)) {\n return Promise.reject(new TypeError('sdpMLineIndex or sdpMid required'));\n }\n\n // TODO: needs to go into ops queue.\n return new Promise(function(resolve, reject) {\n if (!pc._remoteDescription) {\n return reject(makeError('InvalidStateError',\n 'Can not add ICE candidate without a remote description'));\n } else if (!candidate || candidate.candidate === '') {\n for (var j = 0; j < pc.transceivers.length; j++) {\n if (pc.transceivers[j].rejected) {\n continue;\n }\n pc.transceivers[j].iceTransport.addRemoteCandidate({});\n sections = SDPUtils.getMediaSections(pc._remoteDescription.sdp);\n sections[j] += 'a=end-of-candidates\\r\\n';\n pc._remoteDescription.sdp =\n SDPUtils.getDescription(pc._remoteDescription.sdp) +\n sections.join('');\n if (pc.usingBundle) {\n break;\n }\n }\n } else {\n var sdpMLineIndex = candidate.sdpMLineIndex;\n if (candidate.sdpMid) {\n for (var i = 0; i < pc.transceivers.length; i++) {\n if (pc.transceivers[i].mid === candidate.sdpMid) {\n sdpMLineIndex = i;\n break;\n }\n }\n }\n var transceiver = pc.transceivers[sdpMLineIndex];\n if (transceiver) {\n if (transceiver.rejected) {\n return resolve();\n }\n var cand = Object.keys(candidate.candidate).length > 0 ?\n SDPUtils.parseCandidate(candidate.candidate) : {};\n // Ignore Chrome's invalid candidates since Edge does not like them.\n if (cand.protocol === 'tcp' && (cand.port === 0 || cand.port === 9)) {\n return resolve();\n }\n // Ignore RTCP candidates, we assume RTCP-MUX.\n if (cand.component && cand.component !== 1) {\n return resolve();\n }\n // when using bundle, avoid adding candidates to the wrong\n // ice transport. And avoid adding candidates added in the SDP.\n if (sdpMLineIndex === 0 || (sdpMLineIndex > 0 &&\n transceiver.iceTransport !== pc.transceivers[0].iceTransport)) {\n if (!maybeAddCandidate(transceiver.iceTransport, cand)) {\n return reject(makeError('OperationError',\n 'Can not add ICE candidate'));\n }\n }\n\n // update the remoteDescription.\n var candidateString = candidate.candidate.trim();\n if (candidateString.indexOf('a=') === 0) {\n candidateString = candidateString.substr(2);\n }\n sections = SDPUtils.getMediaSections(pc._remoteDescription.sdp);\n sections[sdpMLineIndex] += 'a=' +\n (cand.type ? candidateString : 'end-of-candidates')\n + '\\r\\n';\n pc._remoteDescription.sdp =\n SDPUtils.getDescription(pc._remoteDescription.sdp) +\n sections.join('');\n } else {\n return reject(makeError('OperationError',\n 'Can not add ICE candidate'));\n }\n }\n resolve();\n });\n };\n\n RTCPeerConnection.prototype.getStats = function(selector) {\n if (selector && selector instanceof window.MediaStreamTrack) {\n var senderOrReceiver = null;\n this.transceivers.forEach(function(transceiver) {\n if (transceiver.rtpSender &&\n transceiver.rtpSender.track === selector) {\n senderOrReceiver = transceiver.rtpSender;\n } else if (transceiver.rtpReceiver &&\n transceiver.rtpReceiver.track === selector) {\n senderOrReceiver = transceiver.rtpReceiver;\n }\n });\n if (!senderOrReceiver) {\n throw makeError('InvalidAccessError', 'Invalid selector.');\n }\n return senderOrReceiver.getStats();\n }\n\n var promises = [];\n this.transceivers.forEach(function(transceiver) {\n ['rtpSender', 'rtpReceiver', 'iceGatherer', 'iceTransport',\n 'dtlsTransport'].forEach(function(method) {\n if (transceiver[method]) {\n promises.push(transceiver[method].getStats());\n }\n });\n });\n return Promise.all(promises).then(function(allStats) {\n var results = new Map();\n allStats.forEach(function(stats) {\n stats.forEach(function(stat) {\n results.set(stat.id, stat);\n });\n });\n return results;\n });\n };\n\n // fix low-level stat names and return Map instead of object.\n var ortcObjects = ['RTCRtpSender', 'RTCRtpReceiver', 'RTCIceGatherer',\n 'RTCIceTransport', 'RTCDtlsTransport'];\n ortcObjects.forEach(function(ortcObjectName) {\n var obj = window[ortcObjectName];\n if (obj && obj.prototype && obj.prototype.getStats) {\n var nativeGetstats = obj.prototype.getStats;\n obj.prototype.getStats = function() {\n return nativeGetstats.apply(this)\n .then(function(nativeStats) {\n var mapStats = new Map();\n Object.keys(nativeStats).forEach(function(id) {\n nativeStats[id].type = fixStatsType(nativeStats[id]);\n mapStats.set(id, nativeStats[id]);\n });\n return mapStats;\n });\n };\n }\n });\n\n // legacy callback shims. Should be moved to adapter.js some days.\n var methods = ['createOffer', 'createAnswer'];\n methods.forEach(function(method) {\n var nativeMethod = RTCPeerConnection.prototype[method];\n RTCPeerConnection.prototype[method] = function() {\n var args = arguments;\n if (typeof args[0] === 'function' ||\n typeof args[1] === 'function') { // legacy\n return nativeMethod.apply(this, [arguments[2]])\n .then(function(description) {\n if (typeof args[0] === 'function') {\n args[0].apply(null, [description]);\n }\n }, function(error) {\n if (typeof args[1] === 'function') {\n args[1].apply(null, [error]);\n }\n });\n }\n return nativeMethod.apply(this, arguments);\n };\n });\n\n methods = ['setLocalDescription', 'setRemoteDescription', 'addIceCandidate'];\n methods.forEach(function(method) {\n var nativeMethod = RTCPeerConnection.prototype[method];\n RTCPeerConnection.prototype[method] = function() {\n var args = arguments;\n if (typeof args[1] === 'function' ||\n typeof args[2] === 'function') { // legacy\n return nativeMethod.apply(this, arguments)\n .then(function() {\n if (typeof args[1] === 'function') {\n args[1].apply(null);\n }\n }, function(error) {\n if (typeof args[2] === 'function') {\n args[2].apply(null, [error]);\n }\n });\n }\n return nativeMethod.apply(this, arguments);\n };\n });\n\n // getStats is special. It doesn't have a spec legacy method yet we support\n // getStats(something, cb) without error callbacks.\n ['getStats'].forEach(function(method) {\n var nativeMethod = RTCPeerConnection.prototype[method];\n RTCPeerConnection.prototype[method] = function() {\n var args = arguments;\n if (typeof args[1] === 'function') {\n return nativeMethod.apply(this, arguments)\n .then(function() {\n if (typeof args[1] === 'function') {\n args[1].apply(null);\n }\n });\n }\n return nativeMethod.apply(this, arguments);\n };\n });\n\n return RTCPeerConnection;\n };\n\n},{\"sdp\":17}],17:[function(require,module,exports){\n /* eslint-env node */\n 'use strict';\n\n// SDP helpers.\n var SDPUtils = {};\n\n// Generate an alphanumeric identifier for cname or mids.\n// TODO: use UUIDs instead? https://gist.github.com/jed/982883\n SDPUtils.generateIdentifier = function() {\n return Math.random().toString(36).substr(2, 10);\n };\n\n// The RTCP CNAME used by all peerconnections from the same JS.\n SDPUtils.localCName = SDPUtils.generateIdentifier();\n\n// Splits SDP into lines, dealing with both CRLF and LF.\n SDPUtils.splitLines = function(blob) {\n return blob.trim().split('\\n').map(function(line) {\n return line.trim();\n });\n };\n// Splits SDP into sessionpart and mediasections. Ensures CRLF.\n SDPUtils.splitSections = function(blob) {\n var parts = blob.split('\\nm=');\n return parts.map(function(part, index) {\n return (index > 0 ? 'm=' + part : part).trim() + '\\r\\n';\n });\n };\n\n// returns the session description.\n SDPUtils.getDescription = function(blob) {\n var sections = SDPUtils.splitSections(blob);\n return sections && sections[0];\n };\n\n// returns the individual media sections.\n SDPUtils.getMediaSections = function(blob) {\n var sections = SDPUtils.splitSections(blob);\n sections.shift();\n return sections;\n };\n\n// Returns lines that start with a certain prefix.\n SDPUtils.matchPrefix = function(blob, prefix) {\n return SDPUtils.splitLines(blob).filter(function(line) {\n return line.indexOf(prefix) === 0;\n });\n };\n\n// Parses an ICE candidate line. Sample input:\n// candidate:702786350 2 udp 41819902 8.8.8.8 60769 typ relay raddr 8.8.8.8\n// rport 55996\"\n SDPUtils.parseCandidate = function(line) {\n var parts;\n // Parse both variants.\n if (line.indexOf('a=candidate:') === 0) {\n parts = line.substring(12).split(' ');\n } else {\n parts = line.substring(10).split(' ');\n }\n\n var candidate = {\n foundation: parts[0],\n component: parseInt(parts[1], 10),\n protocol: parts[2].toLowerCase(),\n priority: parseInt(parts[3], 10),\n ip: parts[4],\n address: parts[4], // address is an alias for ip.\n port: parseInt(parts[5], 10),\n // skip parts[6] == 'typ'\n type: parts[7]\n };\n\n for (var i = 8; i < parts.length; i += 2) {\n switch (parts[i]) {\n case 'raddr':\n candidate.relatedAddress = parts[i + 1];\n break;\n case 'rport':\n candidate.relatedPort = parseInt(parts[i + 1], 10);\n break;\n case 'tcptype':\n candidate.tcpType = parts[i + 1];\n break;\n case 'ufrag':\n candidate.ufrag = parts[i + 1]; // for backward compability.\n candidate.usernameFragment = parts[i + 1];\n break;\n default: // extension handling, in particular ufrag\n candidate[parts[i]] = parts[i + 1];\n break;\n }\n }\n return candidate;\n };\n\n// Translates a candidate object into SDP candidate attribute.\n SDPUtils.writeCandidate = function(candidate) {\n var sdp = [];\n sdp.push(candidate.foundation);\n sdp.push(candidate.component);\n sdp.push(candidate.protocol.toUpperCase());\n sdp.push(candidate.priority);\n sdp.push(candidate.address || candidate.ip);\n sdp.push(candidate.port);\n\n var type = candidate.type;\n sdp.push('typ');\n sdp.push(type);\n if (type !== 'host' && candidate.relatedAddress &&\n candidate.relatedPort) {\n sdp.push('raddr');\n sdp.push(candidate.relatedAddress);\n sdp.push('rport');\n sdp.push(candidate.relatedPort);\n }\n if (candidate.tcpType && candidate.protocol.toLowerCase() === 'tcp') {\n sdp.push('tcptype');\n sdp.push(candidate.tcpType);\n }\n if (candidate.usernameFragment || candidate.ufrag) {\n sdp.push('ufrag');\n sdp.push(candidate.usernameFragment || candidate.ufrag);\n }\n return 'candidate:' + sdp.join(' ');\n };\n\n// Parses an ice-options line, returns an array of option tags.\n// a=ice-options:foo bar\n SDPUtils.parseIceOptions = function(line) {\n return line.substr(14).split(' ');\n };\n\n// Parses an rtpmap line, returns RTCRtpCoddecParameters. Sample input:\n// a=rtpmap:111 opus/48000/2\n SDPUtils.parseRtpMap = function(line) {\n var parts = line.substr(9).split(' ');\n var parsed = {\n payloadType: parseInt(parts.shift(), 10) // was: id\n };\n\n parts = parts[0].split('/');\n\n parsed.name = parts[0];\n parsed.clockRate = parseInt(parts[1], 10); // was: clockrate\n parsed.channels = parts.length === 3 ? parseInt(parts[2], 10) : 1;\n // legacy alias, got renamed back to channels in ORTC.\n parsed.numChannels = parsed.channels;\n return parsed;\n };\n\n// Generate an a=rtpmap line from RTCRtpCodecCapability or\n// RTCRtpCodecParameters.\n SDPUtils.writeRtpMap = function(codec) {\n var pt = codec.payloadType;\n if (codec.preferredPayloadType !== undefined) {\n pt = codec.preferredPayloadType;\n }\n var channels = codec.channels || codec.numChannels || 1;\n return 'a=rtpmap:' + pt + ' ' + codec.name + '/' + codec.clockRate +\n (channels !== 1 ? '/' + channels : '') + '\\r\\n';\n };\n\n// Parses an a=extmap line (headerextension from RFC 5285). Sample input:\n// a=extmap:2 urn:ietf:params:rtp-hdrext:toffset\n// a=extmap:2/sendonly urn:ietf:params:rtp-hdrext:toffset\n SDPUtils.parseExtmap = function(line) {\n var parts = line.substr(9).split(' ');\n return {\n id: parseInt(parts[0], 10),\n direction: parts[0].indexOf('/') > 0 ? parts[0].split('/')[1] : 'sendrecv',\n uri: parts[1]\n };\n };\n\n// Generates a=extmap line from RTCRtpHeaderExtensionParameters or\n// RTCRtpHeaderExtension.\n SDPUtils.writeExtmap = function(headerExtension) {\n return 'a=extmap:' + (headerExtension.id || headerExtension.preferredId) +\n (headerExtension.direction && headerExtension.direction !== 'sendrecv'\n ? '/' + headerExtension.direction\n : '') +\n ' ' + headerExtension.uri + '\\r\\n';\n };\n\n// Parses an ftmp line, returns dictionary. Sample input:\n// a=fmtp:96 vbr=on;cng=on\n// Also deals with vbr=on; cng=on\n SDPUtils.parseFmtp = function(line) {\n var parsed = {};\n var kv;\n var parts = line.substr(line.indexOf(' ') + 1).split(';');\n for (var j = 0; j < parts.length; j++) {\n kv = parts[j].trim().split('=');\n parsed[kv[0].trim()] = kv[1];\n }\n return parsed;\n };\n\n// Generates an a=ftmp line from RTCRtpCodecCapability or RTCRtpCodecParameters.\n SDPUtils.writeFmtp = function(codec) {\n var line = '';\n var pt = codec.payloadType;\n if (codec.preferredPayloadType !== undefined) {\n pt = codec.preferredPayloadType;\n }\n if (codec.parameters && Object.keys(codec.parameters).length) {\n var params = [];\n Object.keys(codec.parameters).forEach(function(param) {\n if (codec.parameters[param]) {\n params.push(param + '=' + codec.parameters[param]);\n } else {\n params.push(param);\n }\n });\n line += 'a=fmtp:' + pt + ' ' + params.join(';') + '\\r\\n';\n }\n return line;\n };\n\n// Parses an rtcp-fb line, returns RTCPRtcpFeedback object. Sample input:\n// a=rtcp-fb:98 nack rpsi\n SDPUtils.parseRtcpFb = function(line) {\n var parts = line.substr(line.indexOf(' ') + 1).split(' ');\n return {\n type: parts.shift(),\n parameter: parts.join(' ')\n };\n };\n// Generate a=rtcp-fb lines from RTCRtpCodecCapability or RTCRtpCodecParameters.\n SDPUtils.writeRtcpFb = function(codec) {\n var lines = '';\n var pt = codec.payloadType;\n if (codec.preferredPayloadType !== undefined) {\n pt = codec.preferredPayloadType;\n }\n if (codec.rtcpFeedback && codec.rtcpFeedback.length) {\n // FIXME: special handling for trr-int?\n codec.rtcpFeedback.forEach(function(fb) {\n lines += 'a=rtcp-fb:' + pt + ' ' + fb.type +\n (fb.parameter && fb.parameter.length ? ' ' + fb.parameter : '') +\n '\\r\\n';\n });\n }\n return lines;\n };\n\n// Parses an RFC 5576 ssrc media attribute. Sample input:\n// a=ssrc:3735928559 cname:something\n SDPUtils.parseSsrcMedia = function(line) {\n var sp = line.indexOf(' ');\n var parts = {\n ssrc: parseInt(line.substr(7, sp - 7), 10)\n };\n var colon = line.indexOf(':', sp);\n if (colon > -1) {\n parts.attribute = line.substr(sp + 1, colon - sp - 1);\n parts.value = line.substr(colon + 1);\n } else {\n parts.attribute = line.substr(sp + 1);\n }\n return parts;\n };\n\n SDPUtils.parseSsrcGroup = function(line) {\n var parts = line.substr(13).split(' ');\n return {\n semantics: parts.shift(),\n ssrcs: parts.map(function(ssrc) {\n return parseInt(ssrc, 10);\n })\n };\n };\n\n// Extracts the MID (RFC 5888) from a media section.\n// returns the MID or undefined if no mid line was found.\n SDPUtils.getMid = function(mediaSection) {\n var mid = SDPUtils.matchPrefix(mediaSection, 'a=mid:')[0];\n if (mid) {\n return mid.substr(6);\n }\n };\n\n SDPUtils.parseFingerprint = function(line) {\n var parts = line.substr(14).split(' ');\n return {\n algorithm: parts[0].toLowerCase(), // algorithm is case-sensitive in Edge.\n value: parts[1]\n };\n };\n\n// Extracts DTLS parameters from SDP media section or sessionpart.\n// FIXME: for consistency with other functions this should only\n// get the fingerprint line as input. See also getIceParameters.\n SDPUtils.getDtlsParameters = function(mediaSection, sessionpart) {\n var lines = SDPUtils.matchPrefix(mediaSection + sessionpart,\n 'a=fingerprint:');\n // Note: a=setup line is ignored since we use the 'auto' role.\n // Note2: 'algorithm' is not case sensitive except in Edge.\n return {\n role: 'auto',\n fingerprints: lines.map(SDPUtils.parseFingerprint)\n };\n };\n\n// Serializes DTLS parameters to SDP.\n SDPUtils.writeDtlsParameters = function(params, setupType) {\n var sdp = 'a=setup:' + setupType + '\\r\\n';\n params.fingerprints.forEach(function(fp) {\n sdp += 'a=fingerprint:' + fp.algorithm + ' ' + fp.value + '\\r\\n';\n });\n return sdp;\n };\n// Parses ICE information from SDP media section or sessionpart.\n// FIXME: for consistency with other functions this should only\n// get the ice-ufrag and ice-pwd lines as input.\n SDPUtils.getIceParameters = function(mediaSection, sessionpart) {\n var lines = SDPUtils.splitLines(mediaSection);\n // Search in session part, too.\n lines = lines.concat(SDPUtils.splitLines(sessionpart));\n var iceParameters = {\n usernameFragment: lines.filter(function(line) {\n return line.indexOf('a=ice-ufrag:') === 0;\n })[0].substr(12),\n password: lines.filter(function(line) {\n return line.indexOf('a=ice-pwd:') === 0;\n })[0].substr(10)\n };\n return iceParameters;\n };\n\n// Serializes ICE parameters to SDP.\n SDPUtils.writeIceParameters = function(params) {\n return 'a=ice-ufrag:' + params.usernameFragment + '\\r\\n' +\n 'a=ice-pwd:' + params.password + '\\r\\n';\n };\n\n// Parses the SDP media section and returns RTCRtpParameters.\n SDPUtils.parseRtpParameters = function(mediaSection) {\n var description = {\n codecs: [],\n headerExtensions: [],\n fecMechanisms: [],\n rtcp: []\n };\n var lines = SDPUtils.splitLines(mediaSection);\n var mline = lines[0].split(' ');\n for (var i = 3; i < mline.length; i++) { // find all codecs from mline[3..]\n var pt = mline[i];\n var rtpmapline = SDPUtils.matchPrefix(\n mediaSection, 'a=rtpmap:' + pt + ' ')[0];\n if (rtpmapline) {\n var codec = SDPUtils.parseRtpMap(rtpmapline);\n var fmtps = SDPUtils.matchPrefix(\n mediaSection, 'a=fmtp:' + pt + ' ');\n // Only the first a=fmtp:<pt> is considered.\n codec.parameters = fmtps.length ? SDPUtils.parseFmtp(fmtps[0]) : {};\n codec.rtcpFeedback = SDPUtils.matchPrefix(\n mediaSection, 'a=rtcp-fb:' + pt + ' ')\n .map(SDPUtils.parseRtcpFb);\n description.codecs.push(codec);\n // parse FEC mechanisms from rtpmap lines.\n switch (codec.name.toUpperCase()) {\n case 'RED':\n case 'ULPFEC':\n description.fecMechanisms.push(codec.name.toUpperCase());\n break;\n default: // only RED and ULPFEC are recognized as FEC mechanisms.\n break;\n }\n }\n }\n SDPUtils.matchPrefix(mediaSection, 'a=extmap:').forEach(function(line) {\n description.headerExtensions.push(SDPUtils.parseExtmap(line));\n });\n // FIXME: parse rtcp.\n return description;\n };\n\n// Generates parts of the SDP media section describing the capabilities /\n// parameters.\n SDPUtils.writeRtpDescription = function(kind, caps) {\n var sdp = '';\n\n // Build the mline.\n sdp += 'm=' + kind + ' ';\n sdp += caps.codecs.length > 0 ? '9' : '0'; // reject if no codecs.\n sdp += ' UDP/TLS/RTP/SAVPF ';\n sdp += caps.codecs.map(function(codec) {\n if (codec.preferredPayloadType !== undefined) {\n return codec.preferredPayloadType;\n }\n return codec.payloadType;\n }).join(' ') + '\\r\\n';\n\n sdp += 'c=IN IP4 0.0.0.0\\r\\n';\n sdp += 'a=rtcp:9 IN IP4 0.0.0.0\\r\\n';\n\n // Add a=rtpmap lines for each codec. Also fmtp and rtcp-fb.\n caps.codecs.forEach(function(codec) {\n sdp += SDPUtils.writeRtpMap(codec);\n sdp += SDPUtils.writeFmtp(codec);\n sdp += SDPUtils.writeRtcpFb(codec);\n });\n var maxptime = 0;\n caps.codecs.forEach(function(codec) {\n if (codec.maxptime > maxptime) {\n maxptime = codec.maxptime;\n }\n });\n if (maxptime > 0) {\n sdp += 'a=maxptime:' + maxptime + '\\r\\n';\n }\n sdp += 'a=rtcp-mux\\r\\n';\n\n if (caps.headerExtensions) {\n caps.headerExtensions.forEach(function(extension) {\n sdp += SDPUtils.writeExtmap(extension);\n });\n }\n // FIXME: write fecMechanisms.\n return sdp;\n };\n\n// Parses the SDP media section and returns an array of\n// RTCRtpEncodingParameters.\n SDPUtils.parseRtpEncodingParameters = function(mediaSection) {\n var encodingParameters = [];\n var description = SDPUtils.parseRtpParameters(mediaSection);\n var hasRed = description.fecMechanisms.indexOf('RED') !== -1;\n var hasUlpfec = description.fecMechanisms.indexOf('ULPFEC') !== -1;\n\n // filter a=ssrc:... cname:, ignore PlanB-msid\n var ssrcs = SDPUtils.matchPrefix(mediaSection, 'a=ssrc:')\n .map(function(line) {\n return SDPUtils.parseSsrcMedia(line);\n })\n .filter(function(parts) {\n return parts.attribute === 'cname';\n });\n var primarySsrc = ssrcs.length > 0 && ssrcs[0].ssrc;\n var secondarySsrc;\n\n var flows = SDPUtils.matchPrefix(mediaSection, 'a=ssrc-group:FID')\n .map(function(line) {\n var parts = line.substr(17).split(' ');\n return parts.map(function(part) {\n return parseInt(part, 10);\n });\n });\n if (flows.length > 0 && flows[0].length > 1 && flows[0][0] === primarySsrc) {\n secondarySsrc = flows[0][1];\n }\n\n description.codecs.forEach(function(codec) {\n if (codec.name.toUpperCase() === 'RTX' && codec.parameters.apt) {\n var encParam = {\n ssrc: primarySsrc,\n codecPayloadType: parseInt(codec.parameters.apt, 10)\n };\n if (primarySsrc && secondarySsrc) {\n encParam.rtx = {ssrc: secondarySsrc};\n }\n encodingParameters.push(encParam);\n if (hasRed) {\n encParam = JSON.parse(JSON.stringify(encParam));\n encParam.fec = {\n ssrc: primarySsrc,\n mechanism: hasUlpfec ? 'red+ulpfec' : 'red'\n };\n encodingParameters.push(encParam);\n }\n }\n });\n if (encodingParameters.length === 0 && primarySsrc) {\n encodingParameters.push({\n ssrc: primarySsrc\n });\n }\n\n // we support both b=AS and b=TIAS but interpret AS as TIAS.\n var bandwidth = SDPUtils.matchPrefix(mediaSection, 'b=');\n if (bandwidth.length) {\n if (bandwidth[0].indexOf('b=TIAS:') === 0) {\n bandwidth = parseInt(bandwidth[0].substr(7), 10);\n } else if (bandwidth[0].indexOf('b=AS:') === 0) {\n // use formula from JSEP to convert b=AS to TIAS value.\n bandwidth = parseInt(bandwidth[0].substr(5), 10) * 1000 * 0.95\n - (50 * 40 * 8);\n } else {\n bandwidth = undefined;\n }\n encodingParameters.forEach(function(params) {\n params.maxBitrate = bandwidth;\n });\n }\n return encodingParameters;\n };\n\n// parses http://draft.ortc.org/#rtcrtcpparameters*\n SDPUtils.parseRtcpParameters = function(mediaSection) {\n var rtcpParameters = {};\n\n // Gets the first SSRC. 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value=\"\" size=\"16\" tabindex=\"1\" />\n\t\t\t\t <input type=\"submit\" class=\"button\" value=\"Search\" tabindex=\"2\" />\n\n\t\t\t\t <input title=\"Search on pages\" type=\"hidden\" id=\"_\" name=\"msp\" value=\"1\" checked=\"checked\" />\n <input title=\"Search on all blogs\" type=\"hidden\" id=\"_1108335231\" name=\"mswhere\" value=\"all\" checked='checked' />\n \t\t\t </div>\n\t\t\t</form>\n\t\t</span>\r\n\t\t\t\t\t\t\t</div>\r\n\r\n\t\t\t<hgroup id=\"logo\">\r\n\t\t\t\t<h1 id=\"site-name\"><a href=\"http://cityofpoughkeepsie.com\">City Of Poughkeepsie</a></h1>\r\n\r\n\t\t\t\t<h3>Welcome to the City of</h3>\r\n\t\t\t\t<h2>Poughkeepsie</h2>\r\n\t\t\t\tRob Rolison, Mayor\t\t\t</hgroup>\r\n\r\n\t\t\t<div id=\"head-foot\" class=\"clear\">\r\n\t\t\t\t<div id=\"tabbox\">\r\n\t\t\t\t<div id=\"tabs\"><ul><li><a href=\"#tabs-31\">Residents</a></li><li><a href=\"#tabs-30\">Business</a></li><li><a href=\"#tabs-29\">Visitors</a></li><li><a href=\"#tabs-28\">Government</a></li><li><a href=\"#tabs-27\">Permits/Forms</a></li></ul><div id=\"tabs-31\"><a href=\"http://www.dutchessny.gov/publictransit\">Bus Service</a>\r\n\r\n<a href=\"http://cityofpoughkeepsie.com/shade-tree-commission/eab\">Emerald Ash Borer Info</a>\r\n\r\n<a href=\"http://cityofpoughkeepsie.com/lwrpupdate/\">LWRP Update</a>\r\n\r\n<a href=\"http://cityofpoughkeepsie.com/cso\">Combined Sewer Overflow (CSO)</a>\r\n\r\n<a href=\"https://mailchi.mp/99c234f20648/thebuzz\">The Buzz eNewsletter</a>\r\n\r\n<a href=\"http://cityofpoughkeepsie.com/35montgomerystreet\">35 Montgomery St. - RFEI</a>\r\n\r\n<a href=\"http://cityofpoughkeepsie.com/finance/payments/\">Make a Payment</a>\r\n\r\n<a href=\"http://cityofpoughkeepsie.com/contact-the-city-of-poughkeepsie\">Contact Us</a></div><div id=\"tabs-30\"><a href=\"http://cityofpoughkeepsie.com/building/downloads-2/\">Building Permits</a>\r\n<a href=\"http://cityofpoughkeepsie.com/building/\">Building, Planning & Zoning</a>\r\n<a href=\"https://secure.coplogic.com/dors/startreport/142967500/142944204\">Business Contact Registration\r\n</a><a href=\"http://cityofpoughkeepsie.com/ida/\">City of Poughkeepsie IDA</a>\r\n<a href=\"http://www.dcrcoc.org\" target=\"_blank\" rel=\"noopener\">Chamber of Commerce\r\n</a><a href=\"http://cityofpoughkeepsie.com/emergency-contacts\">Emergency Contacts</a>\r\n<a href=\"http://cityofpoughkeepsie.com/corporation-counsel/corporation-counsel/city-owned-property-sales/\">City-Owned Property Sales\r\n</a><a href=\"http://cityofpoughkeepsie.com/building/economic-incentives-and-community-development/\">Economic Incentives</a></div><div id=\"tabs-29\"><a href=\"http://cityofpoughkeepsie.com/visitors\">Visitor Links</a>\r\n<a href=\"http://dutchesstourism.com/\">Dutchess County Tourism</a>\r\n<a href=\"http://www.artsmidhudson.org/events/\">Arts Mid-Hudson Calendar</a>\r\n<a href=\"http://cityofpoughkeepsie.com/publicartscommission/calendar\">PAC Arts & Events Calendar</a>\r\n<a href=\"http://www.walkway.org/\">Walkway Over the Hudson</a>\r\n<a href=\"http://www.co.dutchess.ny.us/CountyGov/Departments/DPW-Parks/17055.htm\">Dutchess Rail Trail</a>\r\n<a href=\"http://www.mhvcommunityprofiles.org/\">Mid-Hudson Valley Community Profiles</a>\r\n<a href=\"http://onequeencity.com/\" target=\"_blank\" rel=\"noopener\">One Queen City Calendar</a></div><div id=\"tabs-28\"><a href=\"http://cityofpoughkeepsie.com/mayor/\">Mayor</a>\r\n<a href=\"http://cityofpoughkeepsie.com/common-council/\">Common Council</a>\r\n<a href=\"http://cityofpoughkeepsie.com/committees-boards/\">Committees & Boards</a>\r\n<a href=\"http://www.ecode360.com/PO1408\">City Charter</a>\r\n<a href=\"http://www.totalwebcasting.com/view/?id=cop\">Webcasts</a>\r\n<a href=\"http://cityofpoughkeepsie.com/departments\">Departments</a>\r\n<a href=\"http://cityofpoughkeepsie.com/emergency-contacts\">Emergency Contacts</a>\r\n<a href=\"http://cityofpoughkeepsie.com/calendar\">Meetings & Events Calendar</a></div><div id=\"tabs-27\"><a href=\"http://cityofpoughkeepsie.com/building/downloads-2/\">Building Department</a>\r\n<a href=\"http://cityofpoughkeepsie.com/city-chamberlain/downloads/\">City Chamberlain</a>\r\n<a href=\"http://cityofpoughkeepsie.com/engineering/downloads/\">Engineering</a>\r\n<a href=\"http://cityofpoughkeepsie.com/purchasing/downloads/\">RFP's & Specs</a>\r\n<a href=\"http://cityofpoughkeepsie.com/public-works/downloads/\">Public Works</a>\r\n<a href=\"http://cityofpoughkeepsie.com/public-works/parking/\">Parking Permits</a>\r\n<a href=\"http://cityofpoughkeepsie.com/planning-board/downloads?wpdmc=applications\">Planning Board</a>\r\n<a href=\"http://cityofpoughkeepsie.com/zoning-board-of-appeals/downloads?wpdmc=applications\">Zoning Board of Appeals</a></div></div>\t\t\t\t</div>\r\n\r\n\t\t\t\t<div id=\"jumpbox\">\r\n\t\t\t\t\t<h3>CITY DEPARTMENTS</h3>\r\n\t\t\t\t\t</pre><div class='dms-container'><select class='dms-select'><option value=''>Select a Department</option><option value='http://cityofpoughkeepsie.com/animal-control'>Animal Control</option><option value='http://cityofpoughkeepsie.com/assessor'>Assessor</option><option value='http://cityofpoughkeepsie.com/building'>Building, Planning & Zoning</option><option value='http://cityofpoughkeepsie.com/charterreview'>Charter Review Commission</option><option value='http://cityofpoughkeepsie.com/city-administrator'>City Administrator</option><option value='http://cityofpoughkeepsie.com/city-chamberlain'>City Chamberlain</option><option value='http://cityofpoughkeepsie.com/committees-boards'>Committees & Boards</option><option value='http://cityofpoughkeepsie.com/common-council'>Common Council</option><option value='http://cityofpoughkeepsie.com/corporation-counsel'>Corporation Counsel</option><option value='http://cityofpoughkeepsie.com/parkingimprovementplan'>Downtown Parking Improvement Plan</option><option value='http://cityofpoughkeepsie.com/engineering'>Engineering</option><option value='http://cityofpoughkeepsie.com/finance'>Finance</option><option value='http://cityofpoughkeepsie.com/fire-department'>Fire Department</option><option value='http://cityofpoughkeepsie.com/historic-district-landmark-preservation-commission'>Historic District & Landmark Preservation Commission</option><option value='http://cityofpoughkeepsie.com/ida'>IDA – City of Poughkeepsie Industrial Development Agency</option><option value='http://cityofpoughkeepsie.com/lwrpupdate'>LWRP Update</option><option value='http://cityofpoughkeepsie.com/mayor'>Mayor</option><option value='http://cityofpoughkeepsie.com/parks-and-recreation'>Parks & Recreation</option><option value='http://cityofpoughkeepsie.com/personnel'>Personnel</option><option value='http://cityofpoughkeepsie.com/planning-board'>Planning Board</option><option value='http://cityofpoughkeepsie.com/police-department'>Police Department</option><option value='http://cityofpoughkeepsie.com/pcccp'>Poughkeepsie City Center Connectivity Project</option><option value='http://cityofpoughkeepsie.com/publicartscommission'>Public Arts Commission</option><option value='http://cityofpoughkeepsie.com/public-works'>Public Works</option><option value='http://cityofpoughkeepsie.com/purchasing'>Purchasing</option><option value='http://cityofpoughkeepsie.com/rezonedowntown'>Rezone Downtown Poughkeepsie Project</option><option value='http://cityofpoughkeepsie.com/section-8-housing'>Section 8 Housing</option><option value='http://cityofpoughkeepsie.com/shade-tree-commission'>Shade Tree Commission</option><option value='http://cityofpoughkeepsie.com/waterfront-advisory-committee'>Waterfront Advisory Committee</option><option value='http://cityofpoughkeepsie.com/zoning-board-of-appeals'>Zoning Board of Appeals</option></select></div>\r\n\t\t\t\t\t<h3>MAKE A PAYMENT</h3>\r\n\t\t\t\t\t<select id=\"page-selector\" name=\"page-selector\" onchange=\"location.href = document.getElementById('page-selector').value;\">\n<option value=\"\">Select one...</option>\n<option value=\"http://www.parkingticketpayment.com/poughkeepsie/\">Parking Ticket Payment System</option>\n<option value=\"https://ipn.paymentus.com/otp/stde/pwtf\">Water & Sewer Payment System</option>\n<option value=\"https://ipn.paymentus.com/otp/stde/pwts\">Sanitation Payment System</option>\n<option value=\"https://webtownhall.org/cityofpoughkeepsieny/TaxPayments/PayTaxBillhere/tabid/4465/Default.aspx\">Property Tax Payment System</option>\n</select>\r\n\t\t\t\t\t<h3>STAY CONNECTED</h3>\r\n\t\t\t\t\t<a id=\"tw\" href=\"https://twitter.com/cityofpok\">Twitter</a>\r\n\t\t\t\t\t<a id=\"fb\" href=\"https://www.facebook.com/CityofPoughkeepsie\">Facebook</a>\r\n\t\t\t\t\t<!-- <a id=\"yt\" href=\"http://youtube.com/\">Youtube</a> -->\r\n\t\t\t\t\t<a id=\"rss\" href=\"http://cityofpoughkeepsie.com/feed\">RSS Feed</a>\r\n\t\t\t\t</div>\r\n\t\t\t</div>\r\n\t\t</header>\r\n\r\n\t\t<div id=\"cont-wrap\">\r\n\n\t\t<!-- content -->\n\t\t<section id=\"content\" class=\"content\">\n\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t<!-- Individual Post Styling -->\n\t\t\t\t\t<article class=\"post-4 page type-page status-publish hentry odd\" id=\"entry-4\">\n\t\t\t\t\t\t<h2>RECENT NEWS & UPDATES</h2>\n<div class='nlposts-container nlposts-ulist-container nlp-instance-default-1462868160'><ul class='nlposts-wrapper nlposts-ulist nav nav-tabs nav-stacked'><li class='nlposts-ulist-litem nlposts-siteid-1'><div class='nlposts-caption'><h3 class='nlposts-ulist-title'><a href='http://cityofpoughkeepsie.com/archives/7574'>City of Poughkeepsie Releases Informational Video about Combined Sewer Overflows into the Hudson River</a></h3><span class='nlposts-ulist-meta'><a href=\"http://cityofpoughkeepsie.com\">City Of Poughkeepsie</a></span></div></li><li class='nlposts-ulist-litem nlposts-siteid-10'><div class='nlposts-caption'><h3 class='nlposts-ulist-title'><a href='http://cityofpoughkeepsie.com/fire-department/2019/05/09/hydrant-testing-week-of-may-13-2019'>Hydrant Testing – Week of May 13, 2019</a></h3><span class='nlposts-ulist-meta'><a href=\"http://cityofpoughkeepsie.com/fire-department\">Fire Department</a></span></div></li><li class='nlposts-ulist-litem nlposts-siteid-28'><div class='nlposts-caption'><h3 class='nlposts-ulist-title'><a href='http://cityofpoughkeepsie.com/publicartscommission/archives/301'>Public Arts Commission Meeting - May 16, 2019</a></h3><span class='nlposts-ulist-meta'><a href=\"http://cityofpoughkeepsie.com/publicartscommission\">Public Arts Commission</a></span></div></li><li class='nlposts-ulist-litem nlposts-siteid-17'><div class='nlposts-caption'><h3 class='nlposts-ulist-title'><a href='http://cityofpoughkeepsie.com/public-works/2019/04/24/bulk-service-program-may-13-18'>Bulk Service Program - May 13-18</a></h3><span class='nlposts-ulist-meta'><a href=\"http://cityofpoughkeepsie.com/public-works\">Public Works</a></span></div></li><li class='nlposts-ulist-litem nlposts-siteid-24'><div class='nlposts-caption'><h3 class='nlposts-ulist-title'><a href='http://cityofpoughkeepsie.com/zoning-board-of-appeals/archives/5600'>ZBA Meeting - May 14, 2019</a></h3><span class='nlposts-ulist-meta'><a href=\"http://cityofpoughkeepsie.com/zoning-board-of-appeals\">Zoning Board of Appeals</a></span></div></li><li class='nlposts-ulist-litem nlposts-siteid-19'><div class='nlposts-caption'><h3 class='nlposts-ulist-title'><a href='http://cityofpoughkeepsie.com/historic-district-landmark-preservation-commission/archives/5564'>Historic District & Landmarks Preservation Commission Meeting – May 9, 2019</a></h3><span class='nlposts-ulist-meta'><a href=\"http://cityofpoughkeepsie.com/historic-district-landmark-preservation-commission\">Historic District & Landmark Preservation Commission</a></span></div></li><li class='nlposts-ulist-litem nlposts-siteid-20'><div class='nlposts-caption'><h3 class='nlposts-ulist-title'><a href='http://cityofpoughkeepsie.com/ida/archives/5587'>Industrial Development Agency Meeting – May 8, 2019</a></h3><span class='nlposts-ulist-meta'><a href=\"http://cityofpoughkeepsie.com/ida\">IDA – City of Poughkeepsie Industrial Development Agency</a></span></div></li></ul></div>\n<p><a href=\"http://cityofpoughkeepsie.com/news\"><strong>More news»</strong></a></p>\n\n\t\t\t\t\t\t<div class=\"clear\"></div>\n\t\t\t\t\t</article>\n\t\t\t\t\n\t\t\t\t\t</section>\n\t\t<!-- /content -->\n\n<!-- sidebar -->\n<aside id=\"sidebar\" class=\"sidebar\">\n\t<div class=\"widgetblock widget_gce_widget\" id=\"gce_widget-2\" ><h3 class=\"widgettitle\">LOOKING AHEAD</h3><div class=\"simcal-calendar simcal-default-calendar simcal-default-calendar-grid simcal-default-calendar-light\" data-calendar-id=\"42\" data-timezone=\"America/New_York\" data-offset=\"-14400\" data-week-start=\"1\" data-calendar-start=\"1557979200\" data-calendar-end=\"1620952200\" data-events-first=\"1555455600\" data-events-last=\"1620952200\">\n\t\t\t\n\t\t\t<table class=\"simcal-calendar-grid\"\n\t\t\t data-event-bubble-trigger=\"hover\">\n\t\t\t\t<thead class=\"simcal-calendar-head\">\n\t\t\t\t\t<tr>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<th class=\"simcal-nav simcal-prev-wrapper\" colspan=\"1\">\n\t\t\t\t\t\t\t\t<button class=\"simcal-nav-button simcal-month-nav simcal-prev\" title=\"Previous Month\"><i class=\"simcal-icon-left\"></i></button>\n\t\t\t\t\t\t\t</th>\n\t\t\t\t\t\t\t\t\t\t\t\t<th colspan=\"5\"\n\t\t\t\t\t\t class=\"simcal-nav simcal-current\"\n\t\t\t\t\t\t data-calendar-current=\"1557979200\">\n\t\t\t\t\t\t\t<h3> <span class=\"simcal-current-month\">May</span> <span class=\"simcal-current-year\">2019</span> </h3>\t\t\t\t\t\t</th>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<th class=\"simcal-nav simcal-next-wrapper\" colspan=\"1\">\n\t\t\t\t\t\t\t\t<button class=\"simcal-nav-button simcal-month-nav simcal-next\" title=\"Next Month\"><i class=\"simcal-icon-right\"></i></button>\n\t\t\t\t\t\t\t</th>\n\t\t\t\t\t\t\t\t\t\t\t</tr>\n\t\t\t\t\t<tr>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<th class=\"simcal-week-day simcal-week-day-1\"\n\t\t\t\t\t\t\t\tdata-screen-small=\"M\"\n\t\t\t\t\t\t\t data-screen-medium=\"Mon\"\n\t\t\t\t\t\t\t data-screen-large=\"Monday\">Mon</th>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<th class=\"simcal-week-day simcal-week-day-2\"\n\t\t\t\t\t\t\t\tdata-screen-small=\"T\"\n\t\t\t\t\t\t\t data-screen-medium=\"Tue\"\n\t\t\t\t\t\t\t data-screen-large=\"Tuesday\">Tue</th>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<th class=\"simcal-week-day simcal-week-day-3\"\n\t\t\t\t\t\t\t\tdata-screen-small=\"W\"\n\t\t\t\t\t\t\t data-screen-medium=\"Wed\"\n\t\t\t\t\t\t\t data-screen-large=\"Wednesday\">Wed</th>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<th class=\"simcal-week-day simcal-week-day-4\"\n\t\t\t\t\t\t\t\tdata-screen-small=\"T\"\n\t\t\t\t\t\t\t data-screen-medium=\"Thu\"\n\t\t\t\t\t\t\t data-screen-large=\"Thursday\">Thu</th>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<th class=\"simcal-week-day simcal-week-day-5\"\n\t\t\t\t\t\t\t\tdata-screen-small=\"F\"\n\t\t\t\t\t\t\t data-screen-medium=\"Fri\"\n\t\t\t\t\t\t\t data-screen-large=\"Friday\">Fri</th>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<th class=\"simcal-week-day simcal-week-day-6\"\n\t\t\t\t\t\t\t\tdata-screen-small=\"S\"\n\t\t\t\t\t\t\t data-screen-medium=\"Sat\"\n\t\t\t\t\t\t\t data-screen-large=\"Saturday\">Sat</th>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<th class=\"simcal-week-day simcal-week-day-0\"\n\t\t\t\t\t\t\t\t data-screen-small=\"S\"\n\t\t\t\t\t\t\t\t data-screen-medium=\"Sun\"\n\t\t\t\t\t\t\t\t data-screen-large=\"Sunday\">Sun</th>\n\t\t\t\t\t\t\t\t\t\t\t\t\t</tr>\n\t\t\t\t</thead>\n\n\t\t\t\t<tbody class=\"simcal-month simcal-month-5\">\n\t<tr class=\"simcal-week simcal-week-18\"><td class=\"simcal-day simcal-day-void \"></td>\n<td class=\"simcal-day simcal-day-void simcal-day-void-last\"></td>\n<td class=\"simcal-day-1 simcal-weekday-3 simcal-past simcal-day\" data-events-count=\"0\">\n\t<div>\n\t\t<span class=\"simcal-day-label simcal-day-number\">1</span>\n\t\t<span class=\"simcal-no-events\"></span>\n\t\t<span class=\"simcal-events-dots\" style=\"display: none;\"></span>\n\t</div>\n</td>\n<td class=\"simcal-day-2 simcal-weekday-4 simcal-past simcal-day\" data-events-count=\"0\">\n\t<div>\n\t\t<span class=\"simcal-day-label simcal-day-number\">2</span>\n\t\t<span class=\"simcal-no-events\"></span>\n\t\t<span class=\"simcal-events-dots\" style=\"display: none;\"></span>\n\t</div>\n</td>\n<td class=\"simcal-day-3 simcal-weekday-5 simcal-past simcal-day simcal-day-has-events simcal-day-has-1-events simcal-events-calendar-42\" data-events-count=\"1\">\n\t<div>\n\t\t<span class=\"simcal-day-label simcal-day-number\" style=\"background-color: #020238; color: #ffffff\">3</span>\n\t\t<ul class=\"simcal-events\">\t<li class=\"simcal-event simcal-event-has-location simcal-events-calendar-42 simcal-tooltip\" itemscope itemtype=\"http://schema.org/Event\">\n\t\t<span class=\"simcal-event-title\">Postponed: Poughkeepsie Pioneers Parade</span>\n\t\t<div class=\"simcal-event-details simcal-tooltip-content\" style=\"display: none;\"><div class=\"gce-list-event gce-tooltip-event\"><strong><span class=\"simcal-event-title\" itemprop=\"name\">Postponed: Poughkeepsie Pioneers Parade</span></strong></div>\n<div>Starts: <span class=\"simcal-event-start simcal-event-start-time\" data-event-start=\"1556913600\" data-event-format=\"g:i a\" itemprop=\"startDate\" content=\"2019-05-03T16:00:00-04:00\">4:00 pm</span></div>\n<p></p>\n<div>Location: <span class=\"simcal-event-address simcal-event-start-location\" itemprop=\"location\" itemscope itemtype=\"http://schema.org/Place\"><meta itemprop=\"name\" content=\"Poughkeepsie, NY, USA\" /><meta itemprop=\"address\" content=\"Poughkeepsie, NY, USA\" />Poughkeepsie, NY, USA</span></div>\n<p><br />\n</p>\n<div>Description: <div class=\"simcal-event-description\" itemprop=\"description\"><p>Due to the impending weather forecast for Friday, May 3rd, the Poughkeepsie High School Basketball Team State Championship parade has been postponed.</p>\n<p>Please be aware of future notices which will announce a new date.</p>\n</div></div>\n<p></p>\n<div> <a href=\"https://www.google.com/calendar/event?eid=NmszZDFqdnJic28wZHBrazNsbmxicGhxNTIgYjZqa2kxMWc2bTdpNDFqNmlnb3FwbzNzdWdAZw&ctz=America/New_York\" target=\"_blank\" >More details...</a></div></div>\n\t</li>\n</ul>\n\n\t\t<span class=\"simcal-events-dots\" style=\"display: none;\"><b style=\"color: #000;\"> • </b></span>\n\t</div>\n</td>\n<td class=\"simcal-day-4 simcal-weekday-6 simcal-past simcal-day\" data-events-count=\"0\">\n\t<div>\n\t\t<span class=\"simcal-day-label simcal-day-number\">4</span>\n\t\t<span class=\"simcal-no-events\"></span>\n\t\t<span class=\"simcal-events-dots\" style=\"display: none;\"></span>\n\t</div>\n</td>\n<td class=\"simcal-day-5 simcal-weekday-0 simcal-past simcal-day\" data-events-count=\"0\">\n\t<div>\n\t\t<span class=\"simcal-day-label simcal-day-number\">5</span>\n\t\t<span class=\"simcal-no-events\"></span>\n\t\t<span class=\"simcal-events-dots\" style=\"display: none;\"></span>\n\t</div>\n</td>\n</tr><tr class=\"simcal-week simcal-week-18\">\n<td class=\"simcal-day-6 simcal-weekday-1 simcal-past simcal-day simcal-day-has-events simcal-day-has-2-events simcal-events-calendar-42\" data-events-count=\"2\">\n\t<div>\n\t\t<span class=\"simcal-day-label simcal-day-number\" style=\"background-color: #020238; color: #ffffff\">6</span>\n\t\t<ul class=\"simcal-events\">\t<li class=\"simcal-event simcal-event-has-location simcal-events-calendar-42 simcal-tooltip\" itemscope itemtype=\"http://schema.org/Event\">\n\t\t<span class=\"simcal-event-title\">Public Hearing: 504-514 Main Street</span>\n\t\t<div class=\"simcal-event-details simcal-tooltip-content\" style=\"display: none;\"><div class=\"gce-list-event gce-tooltip-event\"><strong><span class=\"simcal-event-title\" itemprop=\"name\">Public Hearing: 504-514 Main Street</span></strong></div>\n<div>Starts: <span class=\"simcal-event-start simcal-event-start-time\" data-event-start=\"1557180000\" data-event-format=\"g:i a\" itemprop=\"startDate\" content=\"2019-05-06T18:00:00-04:00\">6:00 pm</span></div>\n<p></p>\n<div>Location: <span class=\"simcal-event-address simcal-event-start-location\" itemprop=\"location\" itemscope itemtype=\"http://schema.org/Place\"><meta itemprop=\"name\" content=\"62 Civic Center Plaza, Poughkeepsie, NY 12601, USA\" /><meta itemprop=\"address\" content=\"62 Civic Center Plaza, Poughkeepsie, NY 12601, USA\" />62 Civic Center Plaza, Poughkeepsie, NY 12601, USA</span></div>\n<p><br />\n</p>\n<div>Description: <div class=\"simcal-event-description\" itemprop=\"description\"><p>NOTICE IS HEREBY GIVEN that pursuant to the Charter and Codes of the City of Poughkeepsie, Administrative Code, Section 14.04, a Common Council Public Hearing will be held on Monday, May 6, 2019 at 6:00 p.m., in the Common Council Chambers, Third Floor, Municipal Building/City Hall, 62 Civic Center Plaza, Poughkeepsie, New York, for the purpose of receiving comments on proposed rezoning of 504-514 Main Street from C-3 to C-1.</p>\n</div></div>\n<p></p>\n<div> <a href=\"https://www.google.com/calendar/event?eid=MGRqazNpY2hsaDJlNWVmNW9xNzNqNm51MjIgYjZqa2kxMWc2bTdpNDFqNmlnb3FwbzNzdWdAZw&ctz=America/New_York\" target=\"_blank\" >More details...</a></div></div>\n\t</li>\n\t<li class=\"simcal-event simcal-event-recurring simcal-event-has-location simcal-events-calendar-42 simcal-tooltip\" itemscope itemtype=\"http://schema.org/Event\">\n\t\t<span class=\"simcal-event-title\">Common Council</span>\n\t\t<div class=\"simcal-event-details simcal-tooltip-content\" style=\"display: none;\"><div class=\"gce-list-event gce-tooltip-event\"><strong><span class=\"simcal-event-title\" itemprop=\"name\">Common Council</span></strong></div>\n<div>Starts: <span class=\"simcal-event-start simcal-event-start-time\" data-event-start=\"1557181800\" data-event-format=\"g:i a\" itemprop=\"startDate\" content=\"2019-05-06T18:30:00-04:00\">6:30 pm</span></div>\n<p></p>\n<div>Location: <span class=\"simcal-event-address simcal-event-start-location\" itemprop=\"location\" itemscope itemtype=\"http://schema.org/Place\"><meta itemprop=\"name\" content=\"62 Civic Center Plaza, Poughkeepsie, NY 12601, USA\" /><meta itemprop=\"address\" content=\"62 Civic Center Plaza, Poughkeepsie, NY 12601, USA\" />62 Civic Center Plaza, Poughkeepsie, NY 12601, USA</span></div>\n<p><br />\n</p>\n<div>Description: <div class=\"simcal-event-description\" itemprop=\"description\"><p>Council Chambers<br />3rd Floor<br />62 Civic Center Plaza<br />Poughkeepsie, NY 12601</p>\n<p><a href=\"http://cityofpoughkeepsie.com/common-council/\" id=\"ow2557\">http://cityofpoughkeepsie.com/common-council/</a></p>\n</div></div>\n<p></p>\n<div> <a href=\"https://www.google.com/calendar/event?eid=MTd2NHVkbTNocmcwYzMwNGQzNnE4bG90NjNfMjAxOTA1MDZUMjIzMDAwWiBiNmpraTExZzZtN2k0MWo2aWdvcXBvM3N1Z0Bn&ctz=America/New_York\" target=\"_blank\" >More details...</a></div></div>\n\t</li>\n</ul>\n\n\t\t<span class=\"simcal-events-dots\" style=\"display: none;\"><b style=\"color: #000;\"> • </b><b style=\"color: #000;\"> • </b></span>\n\t</div>\n</td>\n<td class=\"simcal-day-7 simcal-weekday-2 simcal-past simcal-day\" data-events-count=\"0\">\n\t<div>\n\t\t<span class=\"simcal-day-label simcal-day-number\">7</span>\n\t\t<span class=\"simcal-no-events\"></span>\n\t\t<span class=\"simcal-events-dots\" style=\"display: none;\"></span>\n\t</div>\n</td>\n<td class=\"simcal-day-8 simcal-weekday-3 simcal-past simcal-day simcal-day-has-events simcal-day-has-1-events simcal-events-calendar-42\" data-events-count=\"1\">\n\t<div>\n\t\t<span class=\"simcal-day-label simcal-day-number\" style=\"background-color: #020238; color: #ffffff\">8</span>\n\t\t<ul class=\"simcal-events\">\t<li class=\"simcal-event simcal-event-recurring simcal-event-has-location simcal-events-calendar-42 simcal-tooltip\" itemscope itemtype=\"http://schema.org/Event\">\n\t\t<span class=\"simcal-event-title\">IDA Meeting</span>\n\t\t<div class=\"simcal-event-details simcal-tooltip-content\" style=\"display: none;\"><div class=\"gce-list-event gce-tooltip-event\"><strong><span class=\"simcal-event-title\" itemprop=\"name\">IDA Meeting</span></strong></div>\n<div>Starts: <span class=\"simcal-event-start simcal-event-start-time\" data-event-start=\"1557354600\" data-event-format=\"g:i a\" itemprop=\"startDate\" content=\"2019-05-08T18:30:00-04:00\">6:30 pm</span></div>\n<p></p>\n<div>Location: <span class=\"simcal-event-address simcal-event-start-location\" itemprop=\"location\" itemscope itemtype=\"http://schema.org/Place\"><meta itemprop=\"name\" content=\"62 Civic Center Plaza, Poughkeepsie, NY 12601, USA\" /><meta itemprop=\"address\" content=\"62 Civic Center Plaza, Poughkeepsie, NY 12601, USA\" />62 Civic Center Plaza, Poughkeepsie, NY 12601, USA</span></div>\n<p><br />\n</p>\n<div>Description: <div class=\"simcal-event-description\" itemprop=\"description\"><p>City of Poughkeepsie Industrial Development Agency<br /><b>Website:</b> <a href=\"http://cityofpoughkeepsie.com/ida\">cityofpoughkeepsie.com/ida </a></p>\n</div></div>\n<p></p>\n<div> <a href=\"https://www.google.com/calendar/event?eid=N25pNDNxMWJkZDJpczJqODM5dmRmcW1tMTRfMjAxOTA1MDhUMjIzMDAwWiBiNmpraTExZzZtN2k0MWo2aWdvcXBvM3N1Z0Bn&ctz=America/New_York\" target=\"_blank\" >More details...</a></div></div>\n\t</li>\n</ul>\n\n\t\t<span class=\"simcal-events-dots\" style=\"display: none;\"><b style=\"color: #000;\"> • </b></span>\n\t</div>\n</td>\n<td class=\"simcal-day-9 simcal-weekday-4 simcal-past simcal-day simcal-day-has-events simcal-day-has-1-events simcal-events-calendar-42\" data-events-count=\"1\">\n\t<div>\n\t\t<span class=\"simcal-day-label simcal-day-number\" style=\"background-color: #020238; color: #ffffff\">9</span>\n\t\t<ul class=\"simcal-events\">\t<li class=\"simcal-event simcal-event-recurring simcal-event-has-location simcal-events-calendar-42 simcal-tooltip\" itemscope itemtype=\"http://schema.org/Event\">\n\t\t<span class=\"simcal-event-title\">Historic District & Landmark Preservation Commission</span>\n\t\t<div class=\"simcal-event-details simcal-tooltip-content\" style=\"display: none;\"><div class=\"gce-list-event gce-tooltip-event\"><strong><span class=\"simcal-event-title\" itemprop=\"name\">Historic District & Landmark Preservation Commission</span></strong></div>\n<div>Starts: <span class=\"simcal-event-start simcal-event-start-time\" data-event-start=\"1557442800\" data-event-format=\"g:i a\" itemprop=\"startDate\" content=\"2019-05-09T19:00:00-04:00\">7:00 pm</span></div>\n<p></p>\n<div>Location: <span class=\"simcal-event-address simcal-event-start-location\" itemprop=\"location\" itemscope itemtype=\"http://schema.org/Place\"><meta itemprop=\"name\" content=\"62 Civic Center Plaza, Poughkeepsie, NY 12601, USA\" /><meta itemprop=\"address\" content=\"62 Civic Center Plaza, Poughkeepsie, NY 12601, USA\" />62 Civic Center Plaza, Poughkeepsie, NY 12601, USA</span></div>\n<p><br />\n</p>\n<div>Description: <div class=\"simcal-event-description\" itemprop=\"description\"><p>Council Chambers<br />3rd Floor<br />62 Civic Center Plaza<br />Poughkeepsie, NY 12601</p>\n<p><a href=\"http://cityofpoughkeepsie.com/historic-district-landmark-preservation-commission/\" id=\"ow1795\">http://cityofpoughkeepsie.com/historic-district-landmark-preservation-commission/</a></p>\n</div></div>\n<p></p>\n<div> <a href=\"https://www.google.com/calendar/event?eid=M3A0aXE5ZDR2OTVhNGNsNTliYXBjZGVnbmRfMjAxOTA1MDlUMjMwMDAwWiBiNmpraTExZzZtN2k0MWo2aWdvcXBvM3N1Z0Bn&ctz=America/New_York\" target=\"_blank\" >More details...</a></div></div>\n\t</li>\n</ul>\n\n\t\t<span class=\"simcal-events-dots\" style=\"display: none;\"><b style=\"color: #000;\"> • </b></span>\n\t</div>\n</td>\n<td class=\"simcal-day-10 simcal-weekday-5 simcal-past simcal-day\" data-events-count=\"0\">\n\t<div>\n\t\t<span class=\"simcal-day-label simcal-day-number\">10</span>\n\t\t<span class=\"simcal-no-events\"></span>\n\t\t<span class=\"simcal-events-dots\" style=\"display: none;\"></span>\n\t</div>\n</td>\n<td class=\"simcal-day-11 simcal-weekday-6 simcal-past simcal-day\" data-events-count=\"0\">\n\t<div>\n\t\t<span class=\"simcal-day-label simcal-day-number\">11</span>\n\t\t<span class=\"simcal-no-events\"></span>\n\t\t<span class=\"simcal-events-dots\" style=\"display: none;\"></span>\n\t</div>\n</td>\n<td class=\"simcal-day-12 simcal-weekday-0 simcal-past simcal-day\" data-events-count=\"0\">\n\t<div>\n\t\t<span class=\"simcal-day-label simcal-day-number\">12</span>\n\t\t<span class=\"simcal-no-events\"></span>\n\t\t<span class=\"simcal-events-dots\" style=\"display: none;\"></span>\n\t</div>\n</td>\n</tr><tr class=\"simcal-week simcal-week-19\">\n<td class=\"simcal-day-13 simcal-weekday-1 simcal-past simcal-day simcal-day-has-events simcal-day-has-1-events simcal-events-calendar-42\" data-events-count=\"1\">\n\t<div>\n\t\t<span class=\"simcal-day-label simcal-day-number\" style=\"background-color: #020238; color: #ffffff\">13</span>\n\t\t<ul class=\"simcal-events\">\t<li class=\"simcal-event simcal-event-has-location simcal-events-calendar-42 simcal-tooltip\" itemscope itemtype=\"http://schema.org/Event\">\n\t\t<span class=\"simcal-event-title\">Public Meeting: Former YMCA Site</span>\n\t\t<div class=\"simcal-event-details simcal-tooltip-content\" style=\"display: none;\"><div class=\"gce-list-event gce-tooltip-event\"><strong><span class=\"simcal-event-title\" itemprop=\"name\">Public Meeting: Former YMCA Site</span></strong></div>\n<div>Starts: <span class=\"simcal-event-start simcal-event-start-time\" data-event-start=\"1557784800\" data-event-format=\"g:i a\" itemprop=\"startDate\" content=\"2019-05-13T18:00:00-04:00\">6:00 pm</span></div>\n<p></p>\n<div>Location: <span class=\"simcal-event-address simcal-event-start-location\" itemprop=\"location\" itemscope itemtype=\"http://schema.org/Place\"><meta itemprop=\"name\" content=\"Family Partnership Center, 29 N Hamilton St, Poughkeepsie, NY 12601, USA\" /><meta itemprop=\"address\" content=\"Family Partnership Center, 29 N Hamilton St, Poughkeepsie, NY 12601, USA\" />Family Partnership Center, 29 N Hamilton St, Poughkeepsie, NY 12601, USA</span></div>\n<p><br />\n</p>\n<div>Description: <div class=\"simcal-event-description\" itemprop=\"description\"><p>After taking ownership of the property earlier this year, the City of Poughkeepsie has set a public meeting regarding possible uses for the former Dutchess YMCA site. The meeting will be held from 6 to 8 p.m. Monday May 13 at the Family Partnership Center, 29 North Hamilton St., Poughkeepsie.</p>\n<p>Mayor Rob Rolison will make introductory remarks. John Penney, community engagement director for the City of Poughkeepsie, will then moderate a discussion with Paul Calogerakis, Economic Development Director for the city, and Paul Hesse, Community Development Coordinator for the city. This conversation will be followed by questions from the public.</p>\n<p><a href=\"http://cityofpoughkeepsie.com/archives/7535\" id=\"ow319\">http://cityofpoughkeepsie.com/archives/7535</a></p>\n</div></div>\n<p></p>\n<div> <a href=\"https://www.google.com/calendar/event?eid=MDc3MHBvNTQ2cHNrbDA5NmlmZTUzN3ZqdHAgYjZqa2kxMWc2bTdpNDFqNmlnb3FwbzNzdWdAZw&ctz=America/New_York\" target=\"_blank\" >More details...</a></div></div>\n\t</li>\n</ul>\n\n\t\t<span class=\"simcal-events-dots\" style=\"display: none;\"><b style=\"color: #000;\"> • </b></span>\n\t</div>\n</td>\n<td class=\"simcal-day-14 simcal-weekday-2 simcal-past simcal-day simcal-day-has-events simcal-day-has-1-events simcal-events-calendar-42\" data-events-count=\"1\">\n\t<div>\n\t\t<span class=\"simcal-day-label simcal-day-number\" style=\"background-color: #020238; color: #ffffff\">14</span>\n\t\t<ul class=\"simcal-events\">\t<li class=\"simcal-event simcal-event-recurring simcal-event-has-location simcal-events-calendar-42 simcal-tooltip\" itemscope itemtype=\"http://schema.org/Event\">\n\t\t<span class=\"simcal-event-title\">Zoning Board of Appeals</span>\n\t\t<div class=\"simcal-event-details simcal-tooltip-content\" style=\"display: none;\"><div class=\"gce-list-event gce-tooltip-event\"><strong><span class=\"simcal-event-title\" itemprop=\"name\">Zoning Board of Appeals</span></strong></div>\n<div>Starts: <span class=\"simcal-event-start simcal-event-start-time\" data-event-start=\"1557873000\" data-event-format=\"g:i a\" itemprop=\"startDate\" content=\"2019-05-14T18:30:00-04:00\">6:30 pm</span></div>\n<p></p>\n<div>Location: <span class=\"simcal-event-address simcal-event-start-location\" itemprop=\"location\" itemscope itemtype=\"http://schema.org/Place\"><meta itemprop=\"name\" content=\"62 Civic Center Plaza, Poughkeepsie, NY 12601, USA\" /><meta itemprop=\"address\" content=\"62 Civic Center Plaza, Poughkeepsie, NY 12601, USA\" />62 Civic Center Plaza, Poughkeepsie, NY 12601, USA</span></div>\n<p><br />\n</p>\n<div>Description: <div class=\"simcal-event-description\" itemprop=\"description\"><p>Common Council Chambers<br />City Hall – 3rd Floor<br />62 Civic Center Plaza<br />Poughkeepsie, NY 12601</p>\n<p><a href=\"http://cityofpoughkeepsie.com/zoning-board-of-appeals/\" id=\"ow1424\">http://cityofpoughkeepsie.com/zoning-board-of-appeals/</a></p>\n</div></div>\n<p></p>\n<div> <a href=\"https://www.google.com/calendar/event?eid=NzlwcXRvNHNiZWtlamk2ZmM4NTByZTM5OWVfMjAxOTA1MTRUMjIzMDAwWiBiNmpraTExZzZtN2k0MWo2aWdvcXBvM3N1Z0Bn&ctz=America/New_York\" target=\"_blank\" >More details...</a></div></div>\n\t</li>\n</ul>\n\n\t\t<span class=\"simcal-events-dots\" style=\"display: none;\"><b style=\"color: #000;\"> • </b></span>\n\t</div>\n</td>\n<td class=\"simcal-day-15 simcal-weekday-3 simcal-past simcal-day\" data-events-count=\"0\">\n\t<div>\n\t\t<span class=\"simcal-day-label simcal-day-number\">15</span>\n\t\t<span class=\"simcal-no-events\"></span>\n\t\t<span class=\"simcal-events-dots\" style=\"display: none;\"></span>\n\t</div>\n</td>\n<td class=\"simcal-day-16 simcal-weekday-4 simcal-today simcal-present simcal-day simcal-today-has-events simcal-day-has-events simcal-day-has-1-events simcal-events-calendar-42\" data-events-count=\"1\">\n\t<div style=\"border: 1px solid #0171bb;\">\n\t\t<span class=\"simcal-day-label simcal-day-number\" style=\"background-color: #0171bb; color: #ffffff\">16</span>\n\t\t<ul class=\"simcal-events\">\t<li class=\"simcal-event simcal-event-recurring simcal-event-has-location simcal-events-calendar-42 simcal-tooltip\" itemscope itemtype=\"http://schema.org/Event\">\n\t\t<span class=\"simcal-event-title\">Public Arts Commission</span>\n\t\t<div class=\"simcal-event-details simcal-tooltip-content\" style=\"display: none;\"><div class=\"gce-list-event gce-tooltip-event\"><strong><span class=\"simcal-event-title\" itemprop=\"name\">Public Arts Commission</span></strong></div>\n<div>Starts: <span class=\"simcal-event-start simcal-event-start-time\" data-event-start=\"1558044000\" data-event-format=\"g:i a\" itemprop=\"startDate\" content=\"2019-05-16T18:00:00-04:00\">6:00 pm</span></div>\n<p></p>\n<div>Location: <span class=\"simcal-event-address simcal-event-start-location\" itemprop=\"location\" itemscope itemtype=\"http://schema.org/Place\"><meta itemprop=\"name\" content=\"62 Civic Center Plaza, Poughkeepsie, NY 12601, USA\" /><meta itemprop=\"address\" content=\"62 Civic Center Plaza, Poughkeepsie, NY 12601, USA\" />62 Civic Center Plaza, Poughkeepsie, NY 12601, USA</span></div>\n<p><br />\n</p>\n<div>Description: <div class=\"simcal-event-description\" itemprop=\"description\"><p>Common Council Chambers - 3rd Floor - City Hall - 6:00 pm</p>\n<p><a href=\"https://www.google.com/url?q=http%3A%2F%2Fcityofpoughkeepsie.com%2Fpublicartscommission%2F&sa=D&usd=2&usg=AFQjCNEgxMae3zAn2WkJs-UjuccRYzbG8w\" target=\"_blank\">http://cityofpoughkeepsie.com/publicartscommission/</a></p>\n</div></div>\n<p></p>\n<div> <a href=\"https://www.google.com/calendar/event?eid=MXRrYnA4ZDBibWI0M2hlOHMzaTN2bnJ0dmhfMjAxOTA1MTZUMjIwMDAwWiBiNmpraTExZzZtN2k0MWo2aWdvcXBvM3N1Z0Bn&ctz=America/New_York\" target=\"_blank\" >More details...</a></div></div>\n\t</li>\n</ul>\n\n\t\t<span class=\"simcal-events-dots\" style=\"display: none;\"><b style=\"color: #000;\"> • </b></span>\n\t</div>\n</td>\n<td class=\"simcal-day-17 simcal-weekday-5 simcal-future simcal-day\" data-events-count=\"0\">\n\t<div>\n\t\t<span class=\"simcal-day-label simcal-day-number\">17</span>\n\t\t<span class=\"simcal-no-events\"></span>\n\t\t<span class=\"simcal-events-dots\" style=\"display: none;\"></span>\n\t</div>\n</td>\n<td class=\"simcal-day-18 simcal-weekday-6 simcal-future simcal-day\" data-events-count=\"0\">\n\t<div>\n\t\t<span class=\"simcal-day-label simcal-day-number\">18</span>\n\t\t<span class=\"simcal-no-events\"></span>\n\t\t<span class=\"simcal-events-dots\" style=\"display: none;\"></span>\n\t</div>\n</td>\n<td class=\"simcal-day-19 simcal-weekday-0 simcal-future simcal-day\" data-events-count=\"0\">\n\t<div>\n\t\t<span class=\"simcal-day-label simcal-day-number\">19</span>\n\t\t<span class=\"simcal-no-events\"></span>\n\t\t<span class=\"simcal-events-dots\" style=\"display: none;\"></span>\n\t</div>\n</td>\n</tr><tr class=\"simcal-week simcal-week-20\">\n<td class=\"simcal-day-20 simcal-weekday-1 simcal-future simcal-day simcal-day-has-events simcal-day-has-1-events simcal-events-calendar-42\" data-events-count=\"1\">\n\t<div>\n\t\t<span class=\"simcal-day-label simcal-day-number\" style=\"background-color: #020238; color: #ffffff\">20</span>\n\t\t<ul class=\"simcal-events\">\t<li class=\"simcal-event simcal-event-recurring simcal-event-has-location simcal-events-calendar-42 simcal-tooltip\" itemscope itemtype=\"http://schema.org/Event\">\n\t\t<span class=\"simcal-event-title\">Common Council</span>\n\t\t<div class=\"simcal-event-details simcal-tooltip-content\" style=\"display: none;\"><div class=\"gce-list-event gce-tooltip-event\"><strong><span class=\"simcal-event-title\" itemprop=\"name\">Common Council</span></strong></div>\n<div>Starts: <span class=\"simcal-event-start simcal-event-start-time\" data-event-start=\"1558391400\" data-event-format=\"g:i a\" itemprop=\"startDate\" content=\"2019-05-20T18:30:00-04:00\">6:30 pm</span></div>\n<p></p>\n<div>Location: <span class=\"simcal-event-address simcal-event-start-location\" itemprop=\"location\" itemscope itemtype=\"http://schema.org/Place\"><meta itemprop=\"name\" content=\"62 Civic Center Plaza, Poughkeepsie, NY 12601, USA\" /><meta itemprop=\"address\" content=\"62 Civic Center Plaza, Poughkeepsie, NY 12601, USA\" />62 Civic Center Plaza, Poughkeepsie, NY 12601, USA</span></div>\n<p><br />\n</p>\n<div>Description: <div class=\"simcal-event-description\" itemprop=\"description\"><p>Council Chambers<br />3rd Floor<br />62 Civic Center Plaza<br />Poughkeepsie, NY 12601</p>\n<p><a href=\"http://cityofpoughkeepsie.com/common-council/\" id=\"ow2968\">http://cityofpoughkeepsie.com/common-council/</a></p>\n</div></div>\n<p></p>\n<div> <a href=\"https://www.google.com/calendar/event?eid=MXJlM2VyY3VyNGc0M2NyOHFzaDE5djdrOGhfMjAxOTA1MjBUMjIzMDAwWiBiNmpraTExZzZtN2k0MWo2aWdvcXBvM3N1Z0Bn&ctz=America/New_York\" target=\"_blank\" >More details...</a></div></div>\n\t</li>\n</ul>\n\n\t\t<span class=\"simcal-events-dots\" style=\"display: none;\"><b style=\"color: #000;\"> • </b></span>\n\t</div>\n</td>\n<td class=\"simcal-day-21 simcal-weekday-2 simcal-future simcal-day simcal-day-has-events simcal-day-has-1-events simcal-events-calendar-42\" data-events-count=\"1\">\n\t<div>\n\t\t<span class=\"simcal-day-label simcal-day-number\" style=\"background-color: #020238; color: #ffffff\">21</span>\n\t\t<ul class=\"simcal-events\">\t<li class=\"simcal-event simcal-event-recurring simcal-event-has-location simcal-events-calendar-42 simcal-tooltip\" itemscope itemtype=\"http://schema.org/Event\">\n\t\t<span class=\"simcal-event-title\">Planning Board</span>\n\t\t<div class=\"simcal-event-details simcal-tooltip-content\" style=\"display: none;\"><div class=\"gce-list-event gce-tooltip-event\"><strong><span class=\"simcal-event-title\" itemprop=\"name\">Planning Board</span></strong></div>\n<div>Starts: <span class=\"simcal-event-start simcal-event-start-time\" data-event-start=\"1558479600\" data-event-format=\"g:i a\" itemprop=\"startDate\" content=\"2019-05-21T19:00:00-04:00\">7:00 pm</span></div>\n<p></p>\n<div>Location: <span class=\"simcal-event-address simcal-event-start-location\" itemprop=\"location\" itemscope itemtype=\"http://schema.org/Place\"><meta itemprop=\"name\" content=\"62 Civic Center Plaza, Poughkeepsie, NY 12601, USA\" /><meta itemprop=\"address\" content=\"62 Civic Center Plaza, Poughkeepsie, NY 12601, USA\" />62 Civic Center Plaza, Poughkeepsie, NY 12601, USA</span></div>\n<p><br />\n</p>\n<div>Description: <div class=\"simcal-event-description\" itemprop=\"description\"><p>Council Chambers<br />3rd Floor<br />62 Civic Center Plaza<br />Poughkeepsie, NY 12601<br /><a href=\"http://cityofpoughkeepsie.com/planning-board/\" target=\"_blank\" id=\"ow957\">http://cityofpoughkeepsie.com/planning-board/</a></p>\n</div></div>\n<p></p>\n<div> <a href=\"https://www.google.com/calendar/event?eid=NnNrN2g1ZnF2aGQyMzc3dTBtMXZiMmxmdDdfMjAxOTA1MjFUMjMwMDAwWiBiNmpraTExZzZtN2k0MWo2aWdvcXBvM3N1Z0Bn&ctz=America/New_York\" target=\"_blank\" >More details...</a></div></div>\n\t</li>\n</ul>\n\n\t\t<span class=\"simcal-events-dots\" style=\"display: none;\"><b style=\"color: #000;\"> • </b></span>\n\t</div>\n</td>\n<td class=\"simcal-day-22 simcal-weekday-3 simcal-future simcal-day\" data-events-count=\"0\">\n\t<div>\n\t\t<span class=\"simcal-day-label simcal-day-number\">22</span>\n\t\t<span class=\"simcal-no-events\"></span>\n\t\t<span class=\"simcal-events-dots\" style=\"display: none;\"></span>\n\t</div>\n</td>\n<td class=\"simcal-day-23 simcal-weekday-4 simcal-future simcal-day\" data-events-count=\"0\">\n\t<div>\n\t\t<span class=\"simcal-day-label simcal-day-number\">23</span>\n\t\t<span class=\"simcal-no-events\"></span>\n\t\t<span class=\"simcal-events-dots\" style=\"display: none;\"></span>\n\t</div>\n</td>\n<td class=\"simcal-day-24 simcal-weekday-5 simcal-future simcal-day\" data-events-count=\"0\">\n\t<div>\n\t\t<span class=\"simcal-day-label simcal-day-number\">24</span>\n\t\t<span class=\"simcal-no-events\"></span>\n\t\t<span class=\"simcal-events-dots\" style=\"display: none;\"></span>\n\t</div>\n</td>\n<td class=\"simcal-day-25 simcal-weekday-6 simcal-future simcal-day\" data-events-count=\"0\">\n\t<div>\n\t\t<span class=\"simcal-day-label simcal-day-number\">25</span>\n\t\t<span class=\"simcal-no-events\"></span>\n\t\t<span class=\"simcal-events-dots\" style=\"display: none;\"></span>\n\t</div>\n</td>\n<td class=\"simcal-day-26 simcal-weekday-0 simcal-future simcal-day\" data-events-count=\"0\">\n\t<div>\n\t\t<span class=\"simcal-day-label simcal-day-number\">26</span>\n\t\t<span class=\"simcal-no-events\"></span>\n\t\t<span class=\"simcal-events-dots\" style=\"display: none;\"></span>\n\t</div>\n</td>\n</tr><tr class=\"simcal-week simcal-week-21\">\n<td class=\"simcal-day-27 simcal-weekday-1 simcal-future simcal-day simcal-day-has-events simcal-day-has-1-events simcal-events-calendar-42\" data-events-count=\"1\">\n\t<div>\n\t\t<span class=\"simcal-day-label simcal-day-number\" style=\"background-color: #020238; color: #ffffff\">27</span>\n\t\t<ul class=\"simcal-events\">\t<li class=\"simcal-event simcal-events-calendar-42 simcal-tooltip\" itemscope itemtype=\"http://schema.org/Event\">\n\t\t<span class=\"simcal-event-title\">Closed: Memorial Day</span>\n\t\t<div class=\"simcal-event-details simcal-tooltip-content\" style=\"display: none;\"><div class=\"gce-list-event gce-tooltip-event\"><strong><span class=\"simcal-event-title\" itemprop=\"name\">Closed: Memorial Day</span></strong></div>\n<div>Starts: <span class=\"simcal-event-start simcal-event-start-time\" data-event-start=\"1558929659\" data-event-format=\"g:i a\" itemprop=\"startDate\" content=\"2019-05-27T00:00:59-04:00\">12:00 am</span></div>\n<p><br />\n</p>\n<div> <a href=\"https://www.google.com/calendar/event?eid=N2phbDhrdGt1dWdhbm81MWhub2J1ZTVoNnIgYjZqa2kxMWc2bTdpNDFqNmlnb3FwbzNzdWdAZw&ctz=America/New_York\" target=\"_blank\" >More details...</a></div></div>\n\t</li>\n</ul>\n\n\t\t<span class=\"simcal-events-dots\" style=\"display: none;\"><b style=\"color: #000;\"> • </b></span>\n\t</div>\n</td>\n<td class=\"simcal-day-28 simcal-weekday-2 simcal-future simcal-day simcal-day-has-events simcal-day-has-1-events simcal-events-calendar-42\" data-events-count=\"1\">\n\t<div>\n\t\t<span class=\"simcal-day-label simcal-day-number\" style=\"background-color: #020238; color: #ffffff\">28</span>\n\t\t<ul class=\"simcal-events\">\t<li class=\"simcal-event simcal-event-recurring simcal-event-has-location simcal-events-calendar-42 simcal-tooltip\" itemscope itemtype=\"http://schema.org/Event\">\n\t\t<span class=\"simcal-event-title\">Waterfront Advisory Committee</span>\n\t\t<div class=\"simcal-event-details simcal-tooltip-content\" style=\"display: none;\"><div class=\"gce-list-event gce-tooltip-event\"><strong><span class=\"simcal-event-title\" itemprop=\"name\">Waterfront Advisory Committee</span></strong></div>\n<div>Starts: <span class=\"simcal-event-start simcal-event-start-time\" data-event-start=\"1559080800\" data-event-format=\"g:i a\" itemprop=\"startDate\" content=\"2019-05-28T18:00:00-04:00\">6:00 pm</span></div>\n<p></p>\n<div>Location: <span class=\"simcal-event-address simcal-event-start-location\" itemprop=\"location\" itemscope itemtype=\"http://schema.org/Place\"><meta itemprop=\"name\" content=\"62 Civic Center Plaza, Poughkeepsie, NY 12601, USA\" /><meta itemprop=\"address\" content=\"62 Civic Center Plaza, Poughkeepsie, NY 12601, USA\" />62 Civic Center Plaza, Poughkeepsie, NY 12601, USA</span></div>\n<p><br />\n</p>\n<div>Description: <div class=\"simcal-event-description\" itemprop=\"description\"><p>Common Council Chambers<br />City Hall - 3rd Floor<br />62 Civic Center Plaza<br />Poughkeepsie, NY 12601<br /><a href=\"goog_844127164\"><br /></a><br /><a href=\"http://cityofpoughkeepsie.com/waterfront-advisory-committee/\" id=\"ow1208\">http://cityofpoughkeepsie.com/waterfront-advisory-committee/</a></p>\n</div></div>\n<p></p>\n<div> <a href=\"https://www.google.com/calendar/event?eid=MmM2NGcwa3AyZjUxdWRxMjRvZTJuNzEzNDFfMjAxOTA1MjhUMjIwMDAwWiBiNmpraTExZzZtN2k0MWo2aWdvcXBvM3N1Z0Bn&ctz=America/New_York\" target=\"_blank\" >More details...</a></div></div>\n\t</li>\n</ul>\n\n\t\t<span class=\"simcal-events-dots\" style=\"display: none;\"><b style=\"color: #000;\"> • </b></span>\n\t</div>\n</td>\n<td class=\"simcal-day-29 simcal-weekday-3 simcal-future simcal-day\" data-events-count=\"0\">\n\t<div>\n\t\t<span class=\"simcal-day-label simcal-day-number\">29</span>\n\t\t<span class=\"simcal-no-events\"></span>\n\t\t<span class=\"simcal-events-dots\" style=\"display: none;\"></span>\n\t</div>\n</td>\n<td class=\"simcal-day-30 simcal-weekday-4 simcal-future simcal-day\" data-events-count=\"0\">\n\t<div>\n\t\t<span class=\"simcal-day-label simcal-day-number\">30</span>\n\t\t<span class=\"simcal-no-events\"></span>\n\t\t<span class=\"simcal-events-dots\" style=\"display: none;\"></span>\n\t</div>\n</td>\n<td class=\"simcal-day-31 simcal-weekday-5 simcal-future simcal-day\" data-events-count=\"0\">\n\t<div>\n\t\t<span class=\"simcal-day-label simcal-day-number\">31</span>\n\t\t<span class=\"simcal-no-events\"></span>\n\t\t<span class=\"simcal-events-dots\" style=\"display: none;\"></span>\n\t</div>\n</td>\n<td class=\"simcal-day simcal-day-void \"></td>\n<td class=\"simcal-day simcal-day-void simcal-day-void-last\"></td>\n\t</tr>\n</tbody>\n\n\t\t\t</table>\n\n\t\t\t<div class=\"simcal-ajax-loader simcal-spinner-top\" style=\"display: none;\"><i class=\"simcal-icon-spinner simcal-icon-spin\"></i></div></div></div><div class=\"widgetblock widget_text\" id=\"text-2\" >\t\t\t<div class=\"textwidget\"><p><a href=\"/calendar\">City Meetings Calendar»<br />\n</a><a href=\"http://cityofpoughkeepsie.com/publicartscommission/calendar\">Arts & Events Calendar»</a></p>\n</div>\n\t\t</div></aside>\n<!-- /sidebar -->\n\t\t</div>\r\n\t</div>\r\n\r\n\t<div class=\"clear\"></div>\r\n\t<!-- /wrapper -->\r\n\r\n\t<!-- footer -->\r\n\t<div id=\"footer\">\r\n\t\t<div id=\"footer-int\">\r\n\t\t\t<div id=\"footer-left\">\r\n\t\t\t\t<div class=\"foot-left widget_text\" id=\"text-3\">\r\n\t\t\t\t\t<h3 class=\"foottitle\">MOST POPULAR LINKS</h3>\r\n\r\n\t\t\t\t\t<div class=\"textwidget\">\r\n\t\t\t\t\t\t<p>\r\n\t\t\t\t\t\t\t<a href=\"/purchasing/\">RFP & Bid 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Reports</a>\r\n\t\t\t\t\t\t</p>\r\n\t\t\t\t\t</div>\r\n\t\t\t\t</div>\r\n\t\t\t</div>\r\n\r\n\t\t\t<div id=\"footer-right\">\r\n\t\t\t\t<div class=\"foot-right widget_text\">\r\n\t\t\t\t\t<h3 class=\"foottitle\">CONTACT INFO</h3>\r\n\r\n\t\t\t\t\t<div class=\"textwidget\">\r\n\t\t\t\t\t\t<p>\r\n\t\t\t\t\t\t\tCity Hall: (845) 451-4200<br>\r\n\t\t\t\t\t\t\tDPW: (845) 451-4111<br>\r\n\t\t\t\t\t\t\tPolice: (845) 451-4000*<br>\r\n\t\t\t\t\t\t\tFire: (845) 451-4079*<br>\r\n\t\t\t\t\t\t\tCity Court: (845) 483-8200<br>\r\n\t\t\t\t\t\t\t<em>*During an emergency, dial 9-1-1</em>\r\n\t\t\t\t\t\t</p>\r\n\t\t\t\t\t</div>\r\n\t\t\t\t</div>\r\n\r\n\t\t\t\t<div class=\"clear\"><br /></div>\r\n\r\n\t\t\t\tCopyright © 2019 City Of Poughkeepsie. 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c,d,e;c={type:a,target:n};for(d in b)n[d]=b[d],c[d]=b[d];e=b.bufferedTime||0,c.target.buffered=c.buffered={start:function(a){return 0},end:function(a){return e},length:1},n.dispatchEvent(c)}),a.method){case\"silverlight\":o.innerHTML='<object data=\"data:application/x-silverlight-2,\" type=\"application/x-silverlight-2\" id=\"'+m+'\" name=\"'+m+'\" width=\"'+k+'\" height=\"'+l+'\" class=\"mejs-shim\"><param name=\"initParams\" value=\"'+i.join(\",\")+'\" /><param name=\"windowless\" value=\"true\" /><param name=\"background\" value=\"black\" /><param name=\"minRuntimeVersion\" value=\"3.0.0.0\" /><param name=\"autoUpgrade\" value=\"true\" /><param name=\"source\" value=\"'+b.pluginPath+b.silverlightName+'\" /></object>';break;case\"flash\":mejs.MediaFeatures.isIE?(g=document.createElement(\"div\"),o.appendChild(g),g.outerHTML='<object classid=\"clsid:D27CDB6E-AE6D-11cf-96B8-444553540000\" codebase=\"//download.macromedia.com/pub/shockwave/cabs/flash/swflash.cab\" id=\"'+m+'\" width=\"'+k+'\" height=\"'+l+'\" class=\"mejs-shim\"><param name=\"movie\" value=\"'+b.pluginPath+b.flashName+\"?\"+(new Date).getTime()+'\" /><param name=\"flashvars\" value=\"'+i.join(\"&\")+'\" /><param name=\"quality\" value=\"high\" /><param name=\"bgcolor\" value=\"#000000\" /><param name=\"wmode\" value=\"transparent\" /><param name=\"allowScriptAccess\" value=\"'+b.flashScriptAccess+'\" /><param name=\"allowFullScreen\" value=\"true\" /><param name=\"scale\" value=\"default\" /></object>'):o.innerHTML='<embed id=\"'+m+'\" name=\"'+m+'\" play=\"true\" loop=\"false\" quality=\"high\" bgcolor=\"#000000\" wmode=\"transparent\" allowScriptAccess=\"'+b.flashScriptAccess+'\" allowFullScreen=\"true\" type=\"application/x-shockwave-flash\" pluginspage=\"//www.macromedia.com/go/getflashplayer\" src=\"'+b.pluginPath+b.flashName+'\" flashvars=\"'+i.join(\"&\")+'\" width=\"'+k+'\" height=\"'+l+'\" scale=\"default\"class=\"mejs-shim\"></embed>';break;case\"youtube\":var r;-1!=a.url.lastIndexOf(\"youtu.be\")?(r=a.url.substr(a.url.lastIndexOf(\"/\")+1),-1!=r.indexOf(\"?\")&&(r=r.substr(0,r.indexOf(\"?\")))):r=a.url.substr(a.url.lastIndexOf(\"=\")+1),youtubeSettings={container:o,containerId:o.id,pluginMediaElement:n,pluginId:m,videoId:r,height:l,width:k,scheme:a.scheme},window.postMessage?mejs.YouTubeApi.enqueueIframe(youtubeSettings):mejs.PluginDetector.hasPluginVersion(\"flash\",[10,0,0])&&mejs.YouTubeApi.createFlash(youtubeSettings,b);break;case\"vimeo\":var s=m+\"_player\";if(n.vimeoid=a.url.substr(a.url.lastIndexOf(\"/\")+1),o.innerHTML='<iframe tabindex=\"-1\" src=\"'+a.scheme+\"player.vimeo.com/video/\"+n.vimeoid+\"?api=1&portrait=0&byline=0&title=0&player_id=\"+s+'\" width=\"'+k+'\" height=\"'+l+'\" frameborder=\"0\" class=\"mejs-shim\" id=\"'+s+'\" webkitallowfullscreen mozallowfullscreen allowfullscreen></iframe>',\"function\"==typeof $f){var t=$f(o.childNodes[0]),u=-1;t.addEvent(\"ready\",function(){function a(a,b,c,d){var 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YT.Player(a.containerId,{height:a.height,width:a.width,videoId:a.videoId,playerVars:{controls:0,wmode:\"transparent\"},events:{onReady:function(){c.setVideoSize=function(a,b){c.setSize(a,b)},a.pluginMediaElement.pluginApi=c,a.pluginMediaElement.pluginElement=document.getElementById(a.containerId),b.success(b,b.pluginElement),setInterval(function(){mejs.YouTubeApi.createEvent(c,b,\"timeupdate\")},250)},onStateChange:function(a){mejs.YouTubeApi.handleStateChange(a.data,c,b)}}})},createEvent:function(a,b,c){var d={type:c,target:b};if(a&&a.getDuration){b.currentTime=d.currentTime=a.getCurrentTime(),b.duration=d.duration=a.getDuration(),d.paused=b.paused,d.ended=b.ended,d.muted=a.isMuted(),d.volume=a.getVolume()/100,d.bytesTotal=a.getVideoBytesTotal(),d.bufferedBytes=a.getVideoBytesLoaded();var e=d.bufferedBytes/d.bytesTotal*d.duration;d.target.buffered=d.buffered={start:function(a){return 0},end:function(a){return 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type=\"application/x-shockwave-flash\" id=\"'+a.pluginId+'\" data=\"'+c+'\" width=\"'+a.width+'\" height=\"'+a.height+'\" style=\"visibility: visible; \" class=\"mejs-shim\"><param name=\"allowScriptAccess\" value=\"'+options.flashScriptAccess+'\"><param name=\"wmode\" value=\"transparent\"></object>'},flashReady:function(a){var b=this.flashPlayers[a],c=document.getElementById(a),d=b.pluginMediaElement;d.pluginApi=d.pluginElement=c,b.success(d,d.pluginElement),c.cueVideoById(b.videoId);var e=b.containerId+\"_callback\";window[e]=function(a){mejs.YouTubeApi.handleStateChange(a,c,d)},c.addEventListener(\"onStateChange\",e),setInterval(function(){mejs.YouTubeApi.createEvent(c,d,\"timeupdate\")},250),mejs.YouTubeApi.createEvent(c,d,\"canplay\")},handleStateChange:function(a,b,c){switch(a){case-1:c.paused=!0,c.ended=!0,mejs.YouTubeApi.createEvent(b,c,\"loadedmetadata\");break;case 0:c.paused=!1,c.ended=!0,mejs.YouTubeApi.createEvent(b,c,\"ended\");break;case 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*/\n\"undefined\"!=typeof jQuery?mejs.$=jQuery:\"undefined\"!=typeof Zepto?(mejs.$=Zepto,Zepto.fn.outerWidth=function(a){var b=$(this).width();return a&&(b+=parseInt($(this).css(\"margin-right\"),10),b+=parseInt($(this).css(\"margin-left\"),10)),b}):\"undefined\"!=typeof ender&&(mejs.$=ender),function(a){mejs.MepDefaults={poster:\"\",showPosterWhenEnded:!1,defaultVideoWidth:480,defaultVideoHeight:270,videoWidth:-1,videoHeight:-1,defaultAudioWidth:400,defaultAudioHeight:30,defaultSeekBackwardInterval:function(a){return.05*a.duration},defaultSeekForwardInterval:function(a){return.05*a.duration},setDimensions:!0,audioWidth:-1,audioHeight:-1,startVolume:.8,loop:!1,autoRewind:!0,enableAutosize:!0,timeFormat:\"\",alwaysShowHours:!1,showTimecodeFrameCount:!1,framesPerSecond:25,autosizeProgress:!0,alwaysShowControls:!1,hideVideoControlsOnLoad:!1,clickToPlayPause:!0,iPadUseNativeControls:!1,iPhoneUseNativeControls:!1,AndroidUseNativeControls:!1,features:[\"playpause\",\"current\",\"progress\",\"duration\",\"tracks\",\"volume\",\"fullscreen\"],isVideo:!0,enableKeyboard:!0,pauseOtherPlayers:!0,keyActions:[{keys:[32,179],action:function(a,b){b.paused||b.ended?b.play():b.pause()}},{keys:[38],action:function(a,b){a.container.find(\".mejs-volume-slider\").css(\"display\",\"block\"),a.isVideo&&(a.showControls(),a.startControlsTimer());var 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a.enterFullScreen&&(a.isFullScreen?a.exitFullScreen():a.enterFullScreen())}},{keys:[77],action:function(a,b){a.container.find(\".mejs-volume-slider\").css(\"display\",\"block\"),a.isVideo&&(a.showControls(),a.startControlsTimer()),a.media.muted?a.setMuted(!1):a.setMuted(!0)}}]},mejs.mepIndex=0,mejs.players={},mejs.MediaElementPlayer=function(b,c){if(!(this instanceof mejs.MediaElementPlayer))return new mejs.MediaElementPlayer(b,c);var d=this;return d.$media=d.$node=a(b),d.node=d.media=d.$media[0],d.node?\"undefined\"!=typeof d.node.player?d.node.player:(\"undefined\"==typeof c&&(c=d.$node.data(\"mejsoptions\")),d.options=a.extend({},mejs.MepDefaults,c),d.options.timeFormat||(d.options.timeFormat=\"mm:ss\",d.options.alwaysShowHours&&(d.options.timeFormat=\"hh:mm:ss\"),d.options.showTimecodeFrameCount&&(d.options.timeFormat+=\":ff\")),mejs.Utility.calculateTimeFormat(0,d.options,d.options.framesPerSecond||25),d.id=\"mep_\"+mejs.mepIndex++,mejs.players[d.id]=d,d.init(),d):void 0},mejs.MediaElementPlayer.prototype={hasFocus:!1,controlsAreVisible:!0,init:function(){var b=this,c=mejs.MediaFeatures,d=a.extend(!0,{},b.options,{success:function(a,c){b.meReady(a,c)},error:function(a){b.handleError(a)}}),e=b.media.tagName.toLowerCase();if(b.isDynamic=\"audio\"!==e&&\"video\"!==e,b.isDynamic?b.isVideo=b.options.isVideo:b.isVideo=\"audio\"!==e&&b.options.isVideo,c.isiPad&&b.options.iPadUseNativeControls||c.isiPhone&&b.options.iPhoneUseNativeControls)b.$media.attr(\"controls\",\"controls\"),c.isiPad&&null!==b.media.getAttribute(\"autoplay\")&&b.play();else if(c.isAndroid&&b.options.AndroidUseNativeControls);else{b.$media.removeAttr(\"controls\");var f=b.isVideo?mejs.i18n.t(\"Video Player\"):mejs.i18n.t(\"Audio Player\");a('<span class=\"mejs-offscreen\">'+f+\"</span>\").insertBefore(b.$media),b.container=a('<div id=\"'+b.id+'\" class=\"mejs-container '+(mejs.MediaFeatures.svgAsImg?\"svg\":\"no-svg\")+'\" tabindex=\"0\" role=\"application\" aria-label=\"'+f+'\"><div class=\"mejs-inner\"><div class=\"mejs-mediaelement\"></div><div class=\"mejs-layers\"></div><div class=\"mejs-controls\"></div><div class=\"mejs-clear\"></div></div></div>').addClass(b.$media[0].className).insertBefore(b.$media).focus(function(a){if(!b.controlsAreVisible){b.showControls(!0);var c=b.container.find(\".mejs-playpause-button > button\");c.focus()}}),b.container.addClass((c.isAndroid?\"mejs-android \":\"\")+(c.isiOS?\"mejs-ios \":\"\")+(c.isiPad?\"mejs-ipad \":\"\")+(c.isiPhone?\"mejs-iphone \":\"\")+(b.isVideo?\"mejs-video \":\"mejs-audio \")),b.container.find(\".mejs-mediaelement\").append(b.$media),b.node.player=b,b.controls=b.container.find(\".mejs-controls\"),b.layers=b.container.find(\".mejs-layers\");var g=b.isVideo?\"video\":\"audio\",h=g.substring(0,1).toUpperCase()+g.substring(1);b.options[g+\"Width\"]>0||b.options[g+\"Width\"].toString().indexOf(\"%\")>-1?b.width=b.options[g+\"Width\"]:\"\"!==b.media.style.width&&null!==b.media.style.width?b.width=b.media.style.width:null!==b.media.getAttribute(\"width\")?b.width=b.$media.attr(\"width\"):b.width=b.options[\"default\"+h+\"Width\"],b.options[g+\"Height\"]>0||b.options[g+\"Height\"].toString().indexOf(\"%\")>-1?b.height=b.options[g+\"Height\"]:\"\"!==b.media.style.height&&null!==b.media.style.height?b.height=b.media.style.height:null!==b.$media[0].getAttribute(\"height\")?b.height=b.$media.attr(\"height\"):b.height=b.options[\"default\"+h+\"Height\"],b.setPlayerSize(b.width,b.height),d.pluginWidth=b.width,d.pluginHeight=b.height}mejs.MediaElement(b.$media[0],d),\"undefined\"!=typeof b.container&&b.controlsAreVisible&&b.container.trigger(\"controlsshown\")},showControls:function(a){var b=this;a=\"undefined\"==typeof a||a,b.controlsAreVisible||(a?(b.controls.removeClass(\"mejs-offscreen\").stop(!0,!0).fadeIn(200,function(){b.controlsAreVisible=!0,b.container.trigger(\"controlsshown\")}),b.container.find(\".mejs-control\").removeClass(\"mejs-offscreen\").stop(!0,!0).fadeIn(200,function(){b.controlsAreVisible=!0})):(b.controls.removeClass(\"mejs-offscreen\").css(\"display\",\"block\"),b.container.find(\".mejs-control\").removeClass(\"mejs-offscreen\").css(\"display\",\"block\"),b.controlsAreVisible=!0,b.container.trigger(\"controlsshown\")),b.setControlsSize())},hideControls:function(b){var c=this;b=\"undefined\"==typeof b||b,!c.controlsAreVisible||c.options.alwaysShowControls||c.keyboardAction||(b?(c.controls.stop(!0,!0).fadeOut(200,function(){a(this).addClass(\"mejs-offscreen\").css(\"display\",\"block\"),c.controlsAreVisible=!1,c.container.trigger(\"controlshidden\")}),c.container.find(\".mejs-control\").stop(!0,!0).fadeOut(200,function(){a(this).addClass(\"mejs-offscreen\").css(\"display\",\"block\")})):(c.controls.addClass(\"mejs-offscreen\").css(\"display\",\"block\"),c.container.find(\".mejs-control\").addClass(\"mejs-offscreen\").css(\"display\",\"block\"),c.controlsAreVisible=!1,c.container.trigger(\"controlshidden\")))},controlsTimer:null,startControlsTimer:function(a){var b=this;a=\"undefined\"!=typeof a?a:1500,b.killControlsTimer(\"start\"),b.controlsTimer=setTimeout(function(){b.hideControls(),b.killControlsTimer(\"hide\")},a)},killControlsTimer:function(a){var b=this;null!==b.controlsTimer&&(clearTimeout(b.controlsTimer),delete b.controlsTimer,b.controlsTimer=null)},controlsEnabled:!0,disableControls:function(){var a=this;a.killControlsTimer(),a.hideControls(!1),this.controlsEnabled=!1},enableControls:function(){var a=this;a.showControls(!1),a.controlsEnabled=!0},meReady:function(b,c){var d,e,f=this,g=mejs.MediaFeatures,h=c.getAttribute(\"autoplay\"),i=!(\"undefined\"==typeof h||null===h||\"false\"===h);if(!f.created){if(f.created=!0,f.media=b,f.domNode=c,!(g.isAndroid&&f.options.AndroidUseNativeControls||g.isiPad&&f.options.iPadUseNativeControls||g.isiPhone&&f.options.iPhoneUseNativeControls)){f.buildposter(f,f.controls,f.layers,f.media),f.buildkeyboard(f,f.controls,f.layers,f.media),f.buildoverlays(f,f.controls,f.layers,f.media),f.findTracks();for(d in f.options.features)if(e=f.options.features[d],f[\"build\"+e])try{f[\"build\"+e](f,f.controls,f.layers,f.media)}catch(j){}f.container.trigger(\"controlsready\"),f.setPlayerSize(f.width,f.height),f.setControlsSize(),f.isVideo&&(mejs.MediaFeatures.hasTouch?f.$media.bind(\"touchstart\",function(){f.controlsAreVisible?f.hideControls(!1):f.controlsEnabled&&f.showControls(!1)}):(f.clickToPlayPauseCallback=function(){f.options.clickToPlayPause&&(f.media.paused?f.play():f.pause())},f.media.addEventListener(\"click\",f.clickToPlayPauseCallback,!1),f.container.bind(\"mouseenter\",function(){f.controlsEnabled&&(f.options.alwaysShowControls||(f.killControlsTimer(\"enter\"),f.showControls(),f.startControlsTimer(2500)))}).bind(\"mousemove\",function(){f.controlsEnabled&&(f.controlsAreVisible||f.showControls(),f.options.alwaysShowControls||f.startControlsTimer(2500))}).bind(\"mouseleave\",function(){f.controlsEnabled&&(f.media.paused||f.options.alwaysShowControls||f.startControlsTimer(1e3))})),f.options.hideVideoControlsOnLoad&&f.hideControls(!1),i&&!f.options.alwaysShowControls&&f.hideControls(),f.options.enableAutosize&&f.media.addEventListener(\"loadedmetadata\",function(a){f.options.videoHeight<=0&&null===f.domNode.getAttribute(\"height\")&&!isNaN(a.target.videoHeight)&&(f.setPlayerSize(a.target.videoWidth,a.target.videoHeight),f.setControlsSize(),f.media.setVideoSize(a.target.videoWidth,a.target.videoHeight))},!1)),b.addEventListener(\"play\",function(){var a;for(a in mejs.players){var b=mejs.players[a];b.id==f.id||!f.options.pauseOtherPlayers||b.paused||b.ended||b.pause(),b.hasFocus=!1}f.hasFocus=!0},!1),f.media.addEventListener(\"ended\",function(b){if(f.options.autoRewind)try{f.media.setCurrentTime(0),window.setTimeout(function(){a(f.container).find(\".mejs-overlay-loading\").parent().hide()},20)}catch(c){}f.media.pause(),f.setProgressRail&&f.setProgressRail(),f.setCurrentRail&&f.setCurrentRail(),f.options.loop?f.play():!f.options.alwaysShowControls&&f.controlsEnabled&&f.showControls()},!1),f.media.addEventListener(\"loadedmetadata\",function(a){f.updateDuration&&f.updateDuration(),f.updateCurrent&&f.updateCurrent(),f.isFullScreen||(f.setPlayerSize(f.width,f.height),f.setControlsSize())},!1);var k=null;f.media.addEventListener(\"timeupdate\",function(){k!==this.duration&&(k=this.duration,mejs.Utility.calculateTimeFormat(k,f.options,f.options.framesPerSecond||25),f.updateDuration&&f.updateDuration(),f.updateCurrent&&f.updateCurrent(),f.setControlsSize())},!1),f.container.focusout(function(b){if(b.relatedTarget){var c=a(b.relatedTarget);f.keyboardAction&&0===c.parents(\".mejs-container\").length&&(f.keyboardAction=!1,f.hideControls(!0))}}),setTimeout(function(){f.setPlayerSize(f.width,f.height),f.setControlsSize()},50),f.globalBind(\"resize\",function(){f.isFullScreen||mejs.MediaFeatures.hasTrueNativeFullScreen&&document.webkitIsFullScreen||f.setPlayerSize(f.width,f.height),f.setControlsSize()}),\"youtube\"==f.media.pluginType&&(g.isiOS||g.isAndroid)&&(f.container.find(\".mejs-overlay-play\").hide(),f.container.find(\".mejs-poster\").hide())}i&&\"native\"==b.pluginType&&f.play(),f.options.success&&(\"string\"==typeof f.options.success?window[f.options.success](f.media,f.domNode,f):f.options.success(f.media,f.domNode,f))}},handleError:function(a){var b=this;b.controls&&b.controls.hide(),b.options.error&&b.options.error(a)},setPlayerSize:function(b,c){var d=this;if(!d.options.setDimensions)return!1;if(\"undefined\"!=typeof b&&(d.width=b),\"undefined\"!=typeof c&&(d.height=c),d.height.toString().indexOf(\"%\")>0||\"none\"!==d.$node.css(\"max-width\")&&\"t.width\"!==d.$node.css(\"max-width\")||d.$node[0].currentStyle&&\"100%\"===d.$node[0].currentStyle.maxWidth){var e=function(){return d.isVideo?d.media.videoWidth&&d.media.videoWidth>0?d.media.videoWidth:null!==d.media.getAttribute(\"width\")?d.media.getAttribute(\"width\"):d.options.defaultVideoWidth:d.options.defaultAudioWidth}(),f=function(){return d.isVideo?d.media.videoHeight&&d.media.videoHeight>0?d.media.videoHeight:null!==d.media.getAttribute(\"height\")?d.media.getAttribute(\"height\"):d.options.defaultVideoHeight:d.options.defaultAudioHeight}(),g=d.container.parent().closest(\":visible\").width(),h=d.container.parent().closest(\":visible\").height(),i=d.isVideo||!d.options.autosizeProgress?parseInt(g*f/e,10):f;isNaN(i)&&(i=h),d.container.parent().length>0&&\"body\"===d.container.parent()[0].tagName.toLowerCase()&&(g=a(window).width(),i=a(window).height()),i&&g&&(d.container.width(g).height(i),d.$media.add(d.container.find(\".mejs-shim\")).width(\"100%\").height(\"100%\"),d.isVideo&&d.media.setVideoSize&&d.media.setVideoSize(g,i),d.layers.children(\".mejs-layer\").width(\"100%\").height(\"100%\"))}else d.container.width(d.width).height(d.height),d.layers.children(\".mejs-layer\").width(d.width).height(d.height)},setControlsSize:function(){var b=this,c=0,d=0,e=b.controls.find(\".mejs-time-rail\"),f=b.controls.find(\".mejs-time-total\"),g=e.siblings(),h=g.last(),i=null;if(b.container.is(\":visible\")&&e.length&&e.is(\":visible\")){b.options&&!b.options.autosizeProgress&&(d=parseInt(e.css(\"width\"),10)),0!==d&&d||(g.each(function(){var b=a(this);\"absolute\"!=b.css(\"position\")&&b.is(\":visible\")&&(c+=a(this).outerWidth(!0))}),d=b.controls.width()-c-(e.outerWidth(!0)-e.width()));do e.width(d),f.width(d-(f.outerWidth(!0)-f.width())),\"absolute\"!=h.css(\"position\")&&(i=h.length?h.position():null,d--);while(null!==i&&i.top.toFixed(2)>0&&d>0);b.container.trigger(\"controlsresize\")}},buildposter:function(b,c,d,e){var f=this,g=a('<div class=\"mejs-poster mejs-layer\"></div>').appendTo(d),h=b.$media.attr(\"poster\");\"\"!==b.options.poster&&(h=b.options.poster),h?f.setPoster(h):g.hide(),e.addEventListener(\"play\",function(){g.hide()},!1),b.options.showPosterWhenEnded&&b.options.autoRewind&&e.addEventListener(\"ended\",function(){g.show()},!1)},setPoster:function(b){var c=this,d=c.container.find(\".mejs-poster\"),e=d.find(\"img\");0===e.length&&(e=a('<img width=\"100%\" height=\"100%\" alt=\"\" />').appendTo(d)),e.attr(\"src\",b),d.css({\"background-image\":\"url(\"+b+\")\"})},buildoverlays:function(b,c,d,e){var f=this;if(b.isVideo){var g=a('<div class=\"mejs-overlay mejs-layer\"><div class=\"mejs-overlay-loading\"><span></span></div></div>').hide().appendTo(d),h=a('<div class=\"mejs-overlay mejs-layer\"><div class=\"mejs-overlay-error\"></div></div>').hide().appendTo(d),i=a('<div class=\"mejs-overlay mejs-layer mejs-overlay-play\"><div class=\"mejs-overlay-button\"></div></div>').appendTo(d).bind(\"click\",function(){f.options.clickToPlayPause&&e.paused&&e.play()});e.addEventListener(\"play\",function(){i.hide(),g.hide(),c.find(\".mejs-time-buffering\").hide(),h.hide()},!1),e.addEventListener(\"playing\",function(){i.hide(),g.hide(),c.find(\".mejs-time-buffering\").hide(),h.hide()},!1),e.addEventListener(\"seeking\",function(){g.show(),c.find(\".mejs-time-buffering\").show()},!1),e.addEventListener(\"seeked\",function(){g.hide(),c.find(\".mejs-time-buffering\").hide()},!1),e.addEventListener(\"pause\",function(){mejs.MediaFeatures.isiPhone||i.show()},!1),e.addEventListener(\"waiting\",function(){g.show(),c.find(\".mejs-time-buffering\").show()},!1),e.addEventListener(\"loadeddata\",function(){g.show(),c.find(\".mejs-time-buffering\").show(),mejs.MediaFeatures.isAndroid&&(e.canplayTimeout=window.setTimeout(function(){if(document.createEvent){var a=document.createEvent(\"HTMLEvents\");return a.initEvent(\"canplay\",!0,!0),e.dispatchEvent(a)}},300))},!1),e.addEventListener(\"canplay\",function(){g.hide(),c.find(\".mejs-time-buffering\").hide(),clearTimeout(e.canplayTimeout)},!1),e.addEventListener(\"error\",function(a){f.handleError(a),g.hide(),i.hide(),h.show(),h.find(\".mejs-overlay-error\").html(\"Error loading this resource\")},!1),e.addEventListener(\"keydown\",function(a){f.onkeydown(b,e,a)},!1)}},buildkeyboard:function(b,c,d,e){var f=this;f.container.keydown(function(){f.keyboardAction=!0}),f.globalBind(\"keydown\",function(c){return b.hasFocus=0!==a(c.target).closest(\".mejs-container\").length&&a(c.target).closest(\".mejs-container\").attr(\"id\")===b.$media.closest(\".mejs-container\").attr(\"id\"),f.onkeydown(b,e,c)}),f.globalBind(\"click\",function(c){b.hasFocus=0!==a(c.target).closest(\".mejs-container\").length})},onkeydown:function(a,b,c){if(a.hasFocus&&a.options.enableKeyboard)for(var d=0,e=a.options.keyActions.length;e>d;d++)for(var f=a.options.keyActions[d],g=0,h=f.keys.length;h>g;g++)if(c.keyCode==f.keys[g])return\"function\"==typeof c.preventDefault&&c.preventDefault(),f.action(a,b,c.keyCode,c),!1;return!0},findTracks:function(){var b=this,c=b.$media.find(\"track\");b.tracks=[],c.each(function(c,d){d=a(d),b.tracks.push({srclang:d.attr(\"srclang\")?d.attr(\"srclang\").toLowerCase():\"\",src:d.attr(\"src\"),kind:d.attr(\"kind\"),label:d.attr(\"label\")||\"\",entries:[],isLoaded:!1})})},changeSkin:function(a){this.container[0].className=\"mejs-container \"+a,this.setPlayerSize(this.width,this.height),this.setControlsSize()},play:function(){this.load(),this.media.play()},pause:function(){try{this.media.pause()}catch(a){}},load:function(){this.isLoaded||this.media.load(),this.isLoaded=!0},setMuted:function(a){this.media.setMuted(a)},setCurrentTime:function(a){this.media.setCurrentTime(a)},getCurrentTime:function(){return this.media.currentTime},setVolume:function(a){this.media.setVolume(a)},getVolume:function(){return this.media.volume},setSrc:function(a){this.media.setSrc(a)},remove:function(){var a,b,c=this;c.container.prev(\".mejs-offscreen\").remove();for(a in c.options.features)if(b=c.options.features[a],c[\"clean\"+b])try{c[\"clean\"+b](c)}catch(d){}c.isDynamic?c.$node.insertBefore(c.container):(c.$media.prop(\"controls\",!0),c.$node.clone().insertBefore(c.container).show(),c.$node.remove()),\"native\"!==c.media.pluginType&&c.media.remove(),delete mejs.players[c.id],\"object\"==typeof c.container&&c.container.remove(),c.globalUnbind(),delete c.node.player},rebuildtracks:function(){var a=this;a.findTracks(),a.buildtracks(a,a.controls,a.layers,a.media)},resetSize:function(){var a=this;setTimeout(function(){a.setPlayerSize(a.width,a.height),a.setControlsSize()},50)}},function(){function b(b,d){var e={d:[],w:[]};return a.each((b||\"\").split(\" \"),function(a,b){var f=b+\".\"+d;0===f.indexOf(\".\")?(e.d.push(f),e.w.push(f)):e[c.test(b)?\"w\":\"d\"].push(f)}),e.d=e.d.join(\" \"),e.w=e.w.join(\" \"),e}var c=/^((after|before)print|(before)?unload|hashchange|message|o(ff|n)line|page(hide|show)|popstate|resize|storage)\\b/;mejs.MediaElementPlayer.prototype.globalBind=function(c,d,e){var f=this,g=f.node?f.node.ownerDocument:document;c=b(c,f.id),c.d&&a(g).bind(c.d,d,e),c.w&&a(window).bind(c.w,d,e)},mejs.MediaElementPlayer.prototype.globalUnbind=function(c,d){var e=this,f=e.node?e.node.ownerDocument:document;c=b(c,e.id),c.d&&a(f).unbind(c.d,d),c.w&&a(window).unbind(c.w,d)}}(),\"undefined\"!=typeof a&&(a.fn.mediaelementplayer=function(b){return b===!1?this.each(function(){var b=a(this).data(\"mediaelementplayer\");b&&b.remove(),a(this).removeData(\"mediaelementplayer\")}):this.each(function(){a(this).data(\"mediaelementplayer\",new mejs.MediaElementPlayer(this,b))}),this},a(document).ready(function(){a(\".mejs-player\").mediaelementplayer()})),window.MediaElementPlayer=mejs.MediaElementPlayer}(mejs.$),function(a){a.extend(mejs.MepDefaults,{playText:mejs.i18n.t(\"Play\"),pauseText:mejs.i18n.t(\"Pause\")}),a.extend(MediaElementPlayer.prototype,{buildplaypause:function(b,c,d,e){function f(a){\"play\"===a?(i.removeClass(\"mejs-play\").addClass(\"mejs-pause\"),j.attr({title:h.pauseText,\"aria-label\":h.pauseText})):(i.removeClass(\"mejs-pause\").addClass(\"mejs-play\"),j.attr({title:h.playText,\"aria-label\":h.playText}))}var g=this,h=g.options,i=a('<div class=\"mejs-button mejs-playpause-button mejs-play\" ><button type=\"button\" aria-controls=\"'+g.id+'\" title=\"'+h.playText+'\" aria-label=\"'+h.playText+'\"></button></div>').appendTo(c).click(function(a){return a.preventDefault(),e.paused?e.play():e.pause(),!1}),j=i.find(\"button\");f(\"pse\"),e.addEventListener(\"play\",function(){f(\"play\")},!1),e.addEventListener(\"playing\",function(){f(\"play\")},!1),e.addEventListener(\"pause\",function(){f(\"pse\")},!1),e.addEventListener(\"paused\",function(){f(\"pse\")},!1)}})}(mejs.$),function(a){a.extend(mejs.MepDefaults,{stopText:\"Stop\"}),a.extend(MediaElementPlayer.prototype,{buildstop:function(b,c,d,e){var f=this;a('<div class=\"mejs-button mejs-stop-button mejs-stop\"><button type=\"button\" aria-controls=\"'+f.id+'\" title=\"'+f.options.stopText+'\" aria-label=\"'+f.options.stopText+'\"></button></div>').appendTo(c).click(function(){e.paused||e.pause(),e.currentTime>0&&(e.setCurrentTime(0),e.pause(),c.find(\".mejs-time-current\").width(\"0px\"),c.find(\".mejs-time-handle\").css(\"left\",\"0px\"),c.find(\".mejs-time-float-current\").html(mejs.Utility.secondsToTimeCode(0,b.options)),c.find(\".mejs-currenttime\").html(mejs.Utility.secondsToTimeCode(0,b.options)),d.find(\".mejs-poster\").show())})}})}(mejs.$),function(a){a.extend(mejs.MepDefaults,{progessHelpText:mejs.i18n.t(\"Use Left/Right Arrow keys to advance one second, Up/Down arrows to advance ten seconds.\")}),a.extend(MediaElementPlayer.prototype,{buildprogress:function(b,c,d,e){a('<div class=\"mejs-time-rail\"><span class=\"mejs-time-total mejs-time-slider\"><span class=\"mejs-time-buffering\"></span><span class=\"mejs-time-loaded\"></span><span class=\"mejs-time-current\"></span><span class=\"mejs-time-handle\"></span><span class=\"mejs-time-float\"><span class=\"mejs-time-float-current\">00:00</span><span class=\"mejs-time-float-corner\"></span></span></span></div>').appendTo(c),c.find(\".mejs-time-buffering\").hide();var f=this,g=c.find(\".mejs-time-total\"),h=c.find(\".mejs-time-loaded\"),i=c.find(\".mejs-time-current\"),j=c.find(\".mejs-time-handle\"),k=c.find(\".mejs-time-float\"),l=c.find(\".mejs-time-float-current\"),m=c.find(\".mejs-time-slider\"),n=function(a){var c,d=g.offset(),f=g.width(),h=0,i=0,j=0;c=a.originalEvent&&a.originalEvent.changedTouches?a.originalEvent.changedTouches[0].pageX:a.changedTouches?a.changedTouches[0].pageX:a.pageX,e.duration&&(c<d.left?c=d.left:c>f+d.left&&(c=f+d.left),j=c-d.left,h=j/f,i=.02>=h?0:h*e.duration,o&&i!==e.currentTime&&e.setCurrentTime(i),mejs.MediaFeatures.hasTouch||(k.css(\"left\",j),l.html(mejs.Utility.secondsToTimeCode(i,b.options)),k.show()))},o=!1,p=!1,q=0,r=!1,s=b.options.autoRewind,t=function(a){var c=e.currentTime,d=mejs.i18n.t(\"Time Slider\"),f=mejs.Utility.secondsToTimeCode(c,b.options),g=e.duration;m.attr({\"aria-label\":d,\"aria-valuemin\":0,\"aria-valuemax\":g,\"aria-valuenow\":c,\"aria-valuetext\":f,role:\"slider\",tabindex:0})},u=function(){var a=new Date;a-q>=1e3&&e.play()};m.bind(\"focus\",function(a){b.options.autoRewind=!1}),m.bind(\"blur\",function(a){b.options.autoRewind=s}),m.bind(\"keydown\",function(a){new Date-q>=1e3&&(r=e.paused);var c=a.keyCode,d=e.duration,f=e.currentTime,g=b.options.defaultSeekForwardInterval(d),h=b.options.defaultSeekBackwardInterval(d);switch(c){case 37:case 40:f-=h;break;case 39:case 38:f+=g;break;case 36:f=0;break;case 35:f=d;break;case 32:case 13:return void(e.paused?e.play():e.pause());default:return}return f=0>f?0:f>=d?d:Math.floor(f),q=new Date,r||e.pause(),f<e.duration&&!r&&setTimeout(u,1100),e.setCurrentTime(f),a.preventDefault(),a.stopPropagation(),!1}),g.bind(\"mousedown touchstart\",function(a){(1===a.which||0===a.which)&&(o=!0,n(a),f.globalBind(\"mousemove.dur touchmove.dur\",function(a){n(a)}),f.globalBind(\"mouseup.dur touchend.dur\",function(a){o=!1,k.hide(),f.globalUnbind(\".dur\")}))}).bind(\"mouseenter\",function(a){p=!0,f.globalBind(\"mousemove.dur\",function(a){n(a)}),mejs.MediaFeatures.hasTouch||k.show()}).bind(\"mouseleave\",function(a){p=!1,o||(f.globalUnbind(\".dur\"),k.hide())}),e.addEventListener(\"progress\",function(a){b.setProgressRail(a),b.setCurrentRail(a)},!1),e.addEventListener(\"timeupdate\",function(a){b.setProgressRail(a),b.setCurrentRail(a),t(a)},!1),f.container.on(\"controlsresize\",function(){b.setProgressRail(),b.setCurrentRail()}),f.loaded=h,f.total=g,f.current=i,f.handle=j},setProgressRail:function(a){var b=this,c=void 0!==a?a.target:b.media,d=null;c&&c.buffered&&c.buffered.length>0&&c.buffered.end&&c.duration?d=c.buffered.end(c.buffered.length-1)/c.duration:c&&void 0!==c.bytesTotal&&c.bytesTotal>0&&void 0!==c.bufferedBytes?d=c.bufferedBytes/c.bytesTotal:a&&a.lengthComputable&&0!==a.total&&(d=a.loaded/a.total),null!==d&&(d=Math.min(1,Math.max(0,d)),b.loaded&&b.total&&b.loaded.width(b.total.width()*d))},setCurrentRail:function(){var a=this;if(void 0!==a.media.currentTime&&a.media.duration&&a.total&&a.handle){var b=Math.round(a.total.width()*a.media.currentTime/a.media.duration),c=b-Math.round(a.handle.outerWidth(!0)/2);a.current.width(b),a.handle.css(\"left\",c)}}})}(mejs.$),function(a){a.extend(mejs.MepDefaults,{duration:-1,timeAndDurationSeparator:\"<span> | </span>\"}),a.extend(MediaElementPlayer.prototype,{buildcurrent:function(b,c,d,e){var f=this;a('<div class=\"mejs-time\" role=\"timer\" aria-live=\"off\"><span class=\"mejs-currenttime\">'+mejs.Utility.secondsToTimeCode(0,b.options)+\"</span></div>\").appendTo(c),f.currenttime=f.controls.find(\".mejs-currenttime\"),e.addEventListener(\"timeupdate\",function(){b.updateCurrent()},!1)},buildduration:function(b,c,d,e){var f=this;c.children().last().find(\".mejs-currenttime\").length>0?a(f.options.timeAndDurationSeparator+'<span class=\"mejs-duration\">'+mejs.Utility.secondsToTimeCode(f.options.duration,f.options)+\"</span>\").appendTo(c.find(\".mejs-time\")):(c.find(\".mejs-currenttime\").parent().addClass(\"mejs-currenttime-container\"),a('<div class=\"mejs-time mejs-duration-container\"><span class=\"mejs-duration\">'+mejs.Utility.secondsToTimeCode(f.options.duration,f.options)+\"</span></div>\").appendTo(c)),f.durationD=f.controls.find(\".mejs-duration\"),e.addEventListener(\"timeupdate\",function(){b.updateDuration()},!1)},updateCurrent:function(){var a=this,b=a.media.currentTime;isNaN(b)&&(b=0),a.currenttime&&a.currenttime.html(mejs.Utility.secondsToTimeCode(b,a.options))},updateDuration:function(){var a=this,b=a.media.duration;a.options.duration>0&&(b=a.options.duration),isNaN(b)&&(b=0),a.container.toggleClass(\"mejs-long-video\",b>3600),a.durationD&&b>0&&a.durationD.html(mejs.Utility.secondsToTimeCode(b,a.options))}})}(mejs.$),function(a){a.extend(mejs.MepDefaults,{muteText:mejs.i18n.t(\"Mute Toggle\"),allyVolumeControlText:mejs.i18n.t(\"Use Up/Down Arrow keys to increase or decrease volume.\"),hideVolumeOnTouchDevices:!0,audioVolume:\"horizontal\",videoVolume:\"vertical\"}),a.extend(MediaElementPlayer.prototype,{buildvolume:function(b,c,d,e){if(!mejs.MediaFeatures.isAndroid&&!mejs.MediaFeatures.isiOS||!this.options.hideVolumeOnTouchDevices){var f=this,g=f.isVideo?f.options.videoVolume:f.options.audioVolume,h=\"horizontal\"==g?a('<div class=\"mejs-button mejs-volume-button mejs-mute\"><button type=\"button\" aria-controls=\"'+f.id+'\" title=\"'+f.options.muteText+'\" aria-label=\"'+f.options.muteText+'\"></button></div><a href=\"javascript:void(0);\" class=\"mejs-horizontal-volume-slider\"><span class=\"mejs-offscreen\">'+f.options.allyVolumeControlText+'</span><div class=\"mejs-horizontal-volume-total\"></div><div class=\"mejs-horizontal-volume-current\"></div><div class=\"mejs-horizontal-volume-handle\"></div></a>').appendTo(c):a('<div class=\"mejs-button mejs-volume-button mejs-mute\"><button type=\"button\" aria-controls=\"'+f.id+'\" title=\"'+f.options.muteText+'\" aria-label=\"'+f.options.muteText+'\"></button><a href=\"javascript:void(0);\" class=\"mejs-volume-slider\"><span class=\"mejs-offscreen\">'+f.options.allyVolumeControlText+'</span><div class=\"mejs-volume-total\"></div><div class=\"mejs-volume-current\"></div><div class=\"mejs-volume-handle\"></div></a></div>').appendTo(c),i=f.container.find(\".mejs-volume-slider, .mejs-horizontal-volume-slider\"),j=f.container.find(\".mejs-volume-total, .mejs-horizontal-volume-total\"),k=f.container.find(\".mejs-volume-current, .mejs-horizontal-volume-current\"),l=f.container.find(\".mejs-volume-handle, .mejs-horizontal-volume-handle\"),m=function(a,b){if(!i.is(\":visible\")&&\"undefined\"==typeof b)return i.show(),m(a,!0),void i.hide();a=Math.max(0,a),a=Math.min(a,1),0===a?(h.removeClass(\"mejs-mute\").addClass(\"mejs-unmute\"),h.children(\"button\").attr(\"title\",mejs.i18n.t(\"Unmute\")).attr(\"aria-label\",mejs.i18n.t(\"Unmute\"))):(h.removeClass(\"mejs-unmute\").addClass(\"mejs-mute\"),h.children(\"button\").attr(\"title\",mejs.i18n.t(\"Mute\")).attr(\"aria-label\",mejs.i18n.t(\"Mute\")));var c=j.position();if(\"vertical\"==g){var d=j.height(),e=d-d*a;l.css(\"top\",Math.round(c.top+e-l.height()/2)),k.height(d-e),k.css(\"top\",c.top+e)}else{var f=j.width(),n=f*a;l.css(\"left\",Math.round(c.left+n-l.width()/2)),k.width(Math.round(n))}},n=function(a){var b=null,c=j.offset();if(\"vertical\"===g){var d=j.height(),f=a.pageY-c.top;if(b=(d-f)/d,0===c.top||0===c.left)return}else{var h=j.width(),i=a.pageX-c.left;b=i/h}b=Math.max(0,b),b=Math.min(b,1),m(b),0===b?e.setMuted(!0):e.setMuted(!1),e.setVolume(b)},o=!1,p=!1;h.hover(function(){i.show(),p=!0},function(){p=!1,o||\"vertical\"!=g||i.hide()});var q=function(a){var b=Math.floor(100*e.volume);i.attr({\"aria-label\":mejs.i18n.t(\"Volume Slider\"),\"aria-valuemin\":0,\"aria-valuemax\":100,\"aria-valuenow\":b,\"aria-valuetext\":b+\"%\",role:\"slider\",tabindex:0})};i.bind(\"mouseover\",function(){p=!0}).bind(\"mousedown\",function(a){return n(a),f.globalBind(\"mousemove.vol\",function(a){n(a)}),f.globalBind(\"mouseup.vol\",function(){o=!1,f.globalUnbind(\".vol\"),p||\"vertical\"!=g||i.hide()}),o=!0,!1}).bind(\"keydown\",function(a){var b=a.keyCode,c=e.volume;switch(b){case 38:c=Math.min(c+.1,1);break;case 40:c=Math.max(0,c-.1);break;default:return!0}return o=!1,m(c),e.setVolume(c),!1}),h.find(\"button\").click(function(){e.setMuted(!e.muted)}),h.find(\"button\").bind(\"focus\",function(){i.show()}),e.addEventListener(\"volumechange\",function(a){o||(e.muted?(m(0),h.removeClass(\"mejs-mute\").addClass(\"mejs-unmute\")):(m(e.volume),h.removeClass(\"mejs-unmute\").addClass(\"mejs-mute\"))),q(a)},!1),0===b.options.startVolume&&e.setMuted(!0),\"native\"===e.pluginType&&e.setVolume(b.options.startVolume),f.container.on(\"controlsresize\",function(){m(e.volume)})}}})}(mejs.$),function(a){a.extend(mejs.MepDefaults,{usePluginFullScreen:!0,newWindowCallback:function(){return\"\"},fullscreenText:mejs.i18n.t(\"Fullscreen\")}),a.extend(MediaElementPlayer.prototype,{isFullScreen:!1,isNativeFullScreen:!1,isInIframe:!1,fullscreenMode:\"\",buildfullscreen:function(b,c,d,e){if(b.isVideo){b.isInIframe=window.location!=window.parent.location,e.addEventListener(\"play\",function(){b.detectFullscreenMode()});var f=this,g=null,h=a('<div class=\"mejs-button mejs-fullscreen-button\"><button type=\"button\" aria-controls=\"'+f.id+'\" title=\"'+f.options.fullscreenText+'\" aria-label=\"'+f.options.fullscreenText+'\"></button></div>').appendTo(c).on(\"click\",function(){var a=mejs.MediaFeatures.hasTrueNativeFullScreen&&mejs.MediaFeatures.isFullScreen()||b.isFullScreen;a?b.exitFullScreen():b.enterFullScreen()}).on(\"mouseover\",function(){if(\"plugin-hover\"==f.fullscreenMode){null!==g&&(clearTimeout(g),delete g);var a=h.offset(),c=b.container.offset();e.positionFullscreenButton(a.left-c.left,a.top-c.top,!0)}}).on(\"mouseout\",function(){\"plugin-hover\"==f.fullscreenMode&&(null!==g&&(clearTimeout(g),delete g),g=setTimeout(function(){e.hideFullscreenButton()},1500))});if(b.fullscreenBtn=h,f.globalBind(\"keydown\",function(a){27==a.keyCode&&(mejs.MediaFeatures.hasTrueNativeFullScreen&&mejs.MediaFeatures.isFullScreen()||f.isFullScreen)&&b.exitFullScreen()}),f.normalHeight=0,f.normalWidth=0,mejs.MediaFeatures.hasTrueNativeFullScreen){var i=function(a){b.isFullScreen&&(mejs.MediaFeatures.isFullScreen()?(b.isNativeFullScreen=!0,b.setControlsSize()):(b.isNativeFullScreen=!1,b.exitFullScreen()))};b.globalBind(mejs.MediaFeatures.fullScreenEventName,i)}}},detectFullscreenMode:function(){var a=this,b=\"\",c=mejs.MediaFeatures;return c.hasTrueNativeFullScreen&&\"native\"===a.media.pluginType?b=\"native-native\":c.hasTrueNativeFullScreen&&\"native\"!==a.media.pluginType&&!c.hasFirefoxPluginMovingProblem?b=\"plugin-native\":a.usePluginFullScreen?mejs.MediaFeatures.supportsPointerEvents?(b=\"plugin-click\",a.createPluginClickThrough()):b=\"plugin-hover\":b=\"fullwindow\",a.fullscreenMode=b,b},isPluginClickThroughCreated:!1,createPluginClickThrough:function(){var b=this;if(!b.isPluginClickThroughCreated){var c,d,e=!1,f=function(){if(e){for(var a in g)g[a].hide();b.fullscreenBtn.css(\"pointer-events\",\"\"),b.controls.css(\"pointer-events\",\"\"),b.media.removeEventListener(\"click\",b.clickToPlayPauseCallback),e=!1}},g={},h=[\"top\",\"left\",\"right\",\"bottom\"],i=function(){var a=fullscreenBtn.offset().left-b.container.offset().left,d=fullscreenBtn.offset().top-b.container.offset().top,e=fullscreenBtn.outerWidth(!0),f=fullscreenBtn.outerHeight(!0),h=b.container.width(),i=b.container.height();for(c in g)g[c].css({position:\"absolute\",top:0,left:0});g.top.width(h).height(d),g.left.width(a).height(f).css({top:d}),g.right.width(h-a-e).height(f).css({top:d,left:a+e}),g.bottom.width(h).height(i-f-d).css({top:d+f})};for(b.globalBind(\"resize\",function(){i()}),c=0,d=h.length;d>c;c++)g[h[c]]=a('<div class=\"mejs-fullscreen-hover\" />').appendTo(b.container).mouseover(f).hide();fullscreenBtn.on(\"mouseover\",function(){if(!b.isFullScreen){var a=fullscreenBtn.offset(),d=player.container.offset();media.positionFullscreenButton(a.left-d.left,a.top-d.top,!1),b.fullscreenBtn.css(\"pointer-events\",\"none\"),b.controls.css(\"pointer-events\",\"none\"),b.media.addEventListener(\"click\",b.clickToPlayPauseCallback);for(c in g)g[c].show();i(),e=!0}}),media.addEventListener(\"fullscreenchange\",function(a){b.isFullScreen=!b.isFullScreen,b.isFullScreen?b.media.removeEventListener(\"click\",b.clickToPlayPauseCallback):b.media.addEventListener(\"click\",b.clickToPlayPauseCallback),f()}),b.globalBind(\"mousemove\",function(a){if(e){var c=fullscreenBtn.offset();(a.pageY<c.top||a.pageY>c.top+fullscreenBtn.outerHeight(!0)||a.pageX<c.left||a.pageX>c.left+fullscreenBtn.outerWidth(!0))&&(fullscreenBtn.css(\"pointer-events\",\"\"),b.controls.css(\"pointer-events\",\"\"),e=!1)}}),b.isPluginClickThroughCreated=!0}},cleanfullscreen:function(a){a.exitFullScreen()},containerSizeTimeout:null,enterFullScreen:function(){var b=this;return mejs.MediaFeatures.hasiOSFullScreen?void b.media.webkitEnterFullscreen():(a(document.documentElement).addClass(\"mejs-fullscreen\"),b.normalHeight=b.container.height(),b.normalWidth=b.container.width(),\"native-native\"===b.fullscreenMode||\"plugin-native\"===b.fullscreenMode?(mejs.MediaFeatures.requestFullScreen(b.container[0]),b.isInIframe&&setTimeout(function c(){if(b.isNativeFullScreen){var d=.002,e=a(window).width(),f=screen.width,g=Math.abs(f-e),h=f*d;g>h?b.exitFullScreen():setTimeout(c,500)}},1e3)):\"fullwindow\"==b.fullscreeMode,b.container.addClass(\"mejs-container-fullscreen\").width(\"100%\").height(\"100%\"),b.containerSizeTimeout=setTimeout(function(){b.container.css({width:\"100%\",height:\"100%\"}),b.setControlsSize()},500),\"native\"===b.media.pluginType?b.$media.width(\"100%\").height(\"100%\"):(b.container.find(\".mejs-shim\").width(\"100%\").height(\"100%\"),setTimeout(function(){var c=a(window),d=c.width(),e=c.height();b.media.setVideoSize(d,e)},500)),b.layers.children(\"div\").width(\"100%\").height(\"100%\"),b.fullscreenBtn&&b.fullscreenBtn.removeClass(\"mejs-fullscreen\").addClass(\"mejs-unfullscreen\"),b.setControlsSize(),b.isFullScreen=!0,b.container.find(\".mejs-captions-text\").css(\"font-size\",screen.width/b.width*1*100+\"%\"),b.container.find(\".mejs-captions-position\").css(\"bottom\",\"45px\"),void b.container.trigger(\"enteredfullscreen\"))},exitFullScreen:function(){var b=this;clearTimeout(b.containerSizeTimeout),mejs.MediaFeatures.hasTrueNativeFullScreen&&(mejs.MediaFeatures.isFullScreen()||b.isFullScreen)&&mejs.MediaFeatures.cancelFullScreen(),a(document.documentElement).removeClass(\"mejs-fullscreen\"),b.container.removeClass(\"mejs-container-fullscreen\").width(b.normalWidth).height(b.normalHeight),\"native\"===b.media.pluginType?b.$media.width(b.normalWidth).height(b.normalHeight):(b.container.find(\".mejs-shim\").width(b.normalWidth).height(b.normalHeight),b.media.setVideoSize(b.normalWidth,b.normalHeight)),b.layers.children(\"div\").width(b.normalWidth).height(b.normalHeight),b.fullscreenBtn.removeClass(\"mejs-unfullscreen\").addClass(\"mejs-fullscreen\"),b.setControlsSize(),b.isFullScreen=!1,b.container.find(\".mejs-captions-text\").css(\"font-size\",\"\"),b.container.find(\".mejs-captions-position\").css(\"bottom\",\"\"),b.container.trigger(\"exitedfullscreen\")}})}(mejs.$),function(a){a.extend(mejs.MepDefaults,{speeds:[\"2.00\",\"1.50\",\"1.25\",\"1.00\",\"0.75\"],defaultSpeed:\"1.00\",speedChar:\"x\"}),a.extend(MediaElementPlayer.prototype,{buildspeed:function(b,c,d,e){var f=this;if(\"native\"==f.media.pluginType){for(var g=null,h=null,i=null,j=null,k=[],l=!1,m=0,n=f.options.speeds.length;n>m;m++){var o=f.options.speeds[m];\"string\"==typeof o?(k.push({name:o+f.options.speedChar,value:o}),o===f.options.defaultSpeed&&(l=!0)):(k.push(o),o.value===f.options.defaultSpeed&&(l=!0))}l||k.push({name:f.options.defaultSpeed+f.options.speedChar,value:f.options.defaultSpeed}),k.sort(function(a,b){return parseFloat(b.value)-parseFloat(a.value)});var p=function(a){for(m=0,n=k.length;n>m;m++)if(k[m].value===a)return k[m].name},q='<div class=\"mejs-button mejs-speed-button\"><button type=\"button\">'+p(f.options.defaultSpeed)+'</button><div class=\"mejs-speed-selector\"><ul>';for(m=0,il=k.length;m<il;m++)j=f.id+\"-speed-\"+k[m].value,q+='<li><input type=\"radio\" name=\"speed\" value=\"'+k[m].value+'\" id=\"'+j+'\" '+(k[m].value===f.options.defaultSpeed?\" checked\":\"\")+' /><label for=\"'+j+'\" '+(k[m].value===f.options.defaultSpeed?' class=\"mejs-speed-selected\"':\"\")+\">\"+k[m].name+\"</label></li>\";q+=\"</ul></div></div>\",g=a(q).appendTo(c),h=g.find(\".mejs-speed-selector\"),i=f.options.defaultSpeed,e.addEventListener(\"loadedmetadata\",function(a){i&&(e.playbackRate=parseFloat(i))},!0),h.on(\"click\",'input[type=\"radio\"]',function(){var b=a(this).attr(\"value\");i=b,e.playbackRate=parseFloat(b),g.find(\"button\").html(p(b)),g.find(\".mejs-speed-selected\").removeClass(\"mejs-speed-selected\"),g.find('input[type=\"radio\"]:checked').next().addClass(\"mejs-speed-selected\")}),g.one(\"mouseenter focusin\",function(){h.height(g.find(\".mejs-speed-selector ul\").outerHeight(!0)+g.find(\".mejs-speed-translations\").outerHeight(!0)).css(\"top\",-1*h.height()+\"px\")})}}})}(mejs.$),function(a){a.extend(mejs.MepDefaults,{startLanguage:\"\",tracksText:mejs.i18n.t(\"Captions/Subtitles\"),tracksAriaLive:!1,hideCaptionsButtonWhenEmpty:!0,toggleCaptionsButtonWhenOnlyOne:!1,slidesSelector:\"\"}),a.extend(MediaElementPlayer.prototype,{hasChapters:!1,cleartracks:function(a,b,c,d){a&&(a.captions&&a.captions.remove(),a.chapters&&a.chapters.remove(),a.captionsText&&a.captionsText.remove(),a.captionsButton&&a.captionsButton.remove())},buildtracks:function(b,c,d,e){if(0!==b.tracks.length){var f,g=this,h=g.options.tracksAriaLive?'role=\"log\" aria-live=\"assertive\" aria-atomic=\"false\"':\"\";if(g.domNode.textTracks)for(f=g.domNode.textTracks.length-1;f>=0;f--)g.domNode.textTracks[f].mode=\"hidden\";g.cleartracks(b,c,d,e),b.chapters=a('<div class=\"mejs-chapters mejs-layer\"></div>').prependTo(d).hide(),b.captions=a('<div class=\"mejs-captions-layer mejs-layer\"><div class=\"mejs-captions-position mejs-captions-position-hover\" '+h+'><span class=\"mejs-captions-text\"></span></div></div>').prependTo(d).hide(),b.captionsText=b.captions.find(\".mejs-captions-text\"),b.captionsButton=a('<div class=\"mejs-button mejs-captions-button\"><button type=\"button\" aria-controls=\"'+g.id+'\" title=\"'+g.options.tracksText+'\" aria-label=\"'+g.options.tracksText+'\"></button><div class=\"mejs-captions-selector\"><ul><li><input type=\"radio\" name=\"'+b.id+'_captions\" id=\"'+b.id+'_captions_none\" value=\"none\" checked=\"checked\" /><label for=\"'+b.id+'_captions_none\">'+mejs.i18n.t(\"None\")+\"</label></li></ul></div></div>\").appendTo(c);var i=0;for(f=0;f<b.tracks.length;f++)\"subtitles\"==b.tracks[f].kind&&i++;for(g.options.toggleCaptionsButtonWhenOnlyOne&&1==i?b.captionsButton.on(\"click\",function(){null===b.selectedTrack?lang=b.tracks[0].srclang:lang=\"none\",b.setTrack(lang)}):(b.captionsButton.on(\"mouseenter focusin\",function(){a(this).find(\".mejs-captions-selector\").removeClass(\"mejs-offscreen\")}).on(\"click\",\"input[type=radio]\",function(){lang=this.value,b.setTrack(lang)}),b.captionsButton.on(\"mouseleave focusout\",function(){a(this).find(\".mejs-captions-selector\").addClass(\"mejs-offscreen\")})),b.options.alwaysShowControls?b.container.find(\".mejs-captions-position\").addClass(\"mejs-captions-position-hover\"):b.container.bind(\"controlsshown\",function(){b.container.find(\".mejs-captions-position\").addClass(\"mejs-captions-position-hover\")}).bind(\"controlshidden\",function(){e.paused||b.container.find(\".mejs-captions-position\").removeClass(\"mejs-captions-position-hover\")}),b.trackToLoad=-1,b.selectedTrack=null,b.isLoadingTrack=!1,f=0;f<b.tracks.length;f++)\"subtitles\"==b.tracks[f].kind&&b.addTrackButton(b.tracks[f].srclang,b.tracks[f].label);b.loadNextTrack(),e.addEventListener(\"timeupdate\",function(a){b.displayCaptions()},!1),\"\"!==b.options.slidesSelector&&(b.slidesContainer=a(b.options.slidesSelector),e.addEventListener(\"timeupdate\",function(a){b.displaySlides()},!1)),e.addEventListener(\"loadedmetadata\",function(a){b.displayChapters()},!1),b.container.hover(function(){b.hasChapters&&(b.chapters.removeClass(\"mejs-offscreen\"),b.chapters.fadeIn(200).height(b.chapters.find(\".mejs-chapter\").outerHeight()))},function(){b.hasChapters&&!e.paused&&b.chapters.fadeOut(200,function(){a(this).addClass(\"mejs-offscreen\"),a(this).css(\"display\",\"block\")})}),g.container.on(\"controlsresize\",function(){g.adjustLanguageBox()}),null!==b.node.getAttribute(\"autoplay\")&&b.chapters.addClass(\"mejs-offscreen\")}},setTrack:function(a){var b,c=this;if(\"none\"==a)c.selectedTrack=null,c.captionsButton.removeClass(\"mejs-captions-enabled\");else for(b=0;b<c.tracks.length;b++)if(c.tracks[b].srclang==a){null===c.selectedTrack&&c.captionsButton.addClass(\"mejs-captions-enabled\"),c.selectedTrack=c.tracks[b],c.captions.attr(\"lang\",c.selectedTrack.srclang),c.displayCaptions();break}},loadNextTrack:function(){var a=this;a.trackToLoad++,a.trackToLoad<a.tracks.length?(a.isLoadingTrack=!0,a.loadTrack(a.trackToLoad)):(a.isLoadingTrack=!1,a.checkForTracks())},loadTrack:function(b){var c=this,d=c.tracks[b],e=function(){d.isLoaded=!0,c.enableTrackButton(d.srclang,d.label),c.loadNextTrack()};a.ajax({url:d.src,dataType:\"text\",success:function(a){\"string\"==typeof a&&/<tt\\s+xml/gi.exec(a)?d.entries=mejs.TrackFormatParser.dfxp.parse(a):d.entries=mejs.TrackFormatParser.webvtt.parse(a),e(),\"chapters\"==d.kind&&c.media.addEventListener(\"play\",function(a){c.media.duration>0&&c.displayChapters(d)},!1),\"slides\"==d.kind&&c.setupSlides(d)},error:function(){c.removeTrackButton(d.srclang),c.loadNextTrack()}})},enableTrackButton:function(b,c){var d=this;\"\"===c&&(c=mejs.language.codes[b]||b),d.captionsButton.find(\"input[value=\"+b+\"]\").prop(\"disabled\",!1).siblings(\"label\").html(c),d.options.startLanguage==b&&a(\"#\"+d.id+\"_captions_\"+b).prop(\"checked\",!0).trigger(\"click\"),d.adjustLanguageBox()},removeTrackButton:function(a){var b=this;b.captionsButton.find(\"input[value=\"+a+\"]\").closest(\"li\").remove(),b.adjustLanguageBox()},addTrackButton:function(b,c){var d=this;\"\"===c&&(c=mejs.language.codes[b]||b),d.captionsButton.find(\"ul\").append(a('<li><input type=\"radio\" name=\"'+d.id+'_captions\" id=\"'+d.id+\"_captions_\"+b+'\" value=\"'+b+'\" disabled=\"disabled\" /><label for=\"'+d.id+\"_captions_\"+b+'\">'+c+\" (loading)</label></li>\")),d.adjustLanguageBox(),d.container.find(\".mejs-captions-translations option[value=\"+b+\"]\").remove()},adjustLanguageBox:function(){var a=this;a.captionsButton.find(\".mejs-captions-selector\").height(a.captionsButton.find(\".mejs-captions-selector ul\").outerHeight(!0)+a.captionsButton.find(\".mejs-captions-translations\").outerHeight(!0))},checkForTracks:function(){var a=this,b=!1;if(a.options.hideCaptionsButtonWhenEmpty){for(i=0;i<a.tracks.length;i++)if(\"subtitles\"==a.tracks[i].kind&&a.tracks[i].isLoaded){b=!0;break}b||(a.captionsButton.hide(),a.setControlsSize())}},displayCaptions:function(){if(\"undefined\"!=typeof this.tracks){var a,b=this,c=b.selectedTrack;if(null!==c&&c.isLoaded){for(a=0;a<c.entries.times.length;a++)if(b.media.currentTime>=c.entries.times[a].start&&b.media.currentTime<=c.entries.times[a].stop)return b.captionsText.html(c.entries.text[a]).attr(\"class\",\"mejs-captions-text \"+(c.entries.times[a].identifier||\"\")),void b.captions.show().height(0);b.captions.hide()}else b.captions.hide()}},setupSlides:function(a){var b=this;b.slides=a,b.slides.entries.imgs=[b.slides.entries.text.length],b.showSlide(0)},showSlide:function(b){if(\"undefined\"!=typeof this.tracks&&\"undefined\"!=typeof this.slidesContainer){var c=this,d=c.slides.entries.text[b],e=c.slides.entries.imgs[b];\"undefined\"==typeof e||\"undefined\"==typeof e.fadeIn?c.slides.entries.imgs[b]=e=a('<img src=\"'+d+'\">').on(\"load\",function(){e.appendTo(c.slidesContainer).hide().fadeIn().siblings(\":visible\").fadeOut()}):e.is(\":visible\")||e.is(\":animated\")||e.fadeIn().siblings(\":visible\").fadeOut()}},displaySlides:function(){if(\"undefined\"!=typeof this.slides){var a,b=this,c=b.slides;for(a=0;a<c.entries.times.length;a++)if(b.media.currentTime>=c.entries.times[a].start&&b.media.currentTime<=c.entries.times[a].stop)return void b.showSlide(a)}},displayChapters:function(){var a,b=this;for(a=0;a<b.tracks.length;a++)if(\"chapters\"==b.tracks[a].kind&&b.tracks[a].isLoaded){b.drawChapters(b.tracks[a]),b.hasChapters=!0;break}},drawChapters:function(b){var c,d,e=this,f=0,g=0;for(e.chapters.empty(),c=0;c<b.entries.times.length;c++)d=b.entries.times[c].stop-b.entries.times[c].start,f=Math.floor(d/e.media.duration*100),(f+g>100||c==b.entries.times.length-1&&100>f+g)&&(f=100-g),e.chapters.append(a('<div class=\"mejs-chapter\" rel=\"'+b.entries.times[c].start+'\" style=\"left: '+g.toString()+\"%;width: \"+f.toString()+'%;\"><div class=\"mejs-chapter-block'+(c==b.entries.times.length-1?\" mejs-chapter-block-last\":\"\")+'\"><span class=\"ch-title\">'+b.entries.text[c]+'</span><span class=\"ch-time\">'+mejs.Utility.secondsToTimeCode(b.entries.times[c].start,e.options)+\"–\"+mejs.Utility.secondsToTimeCode(b.entries.times[c].stop,e.options)+\"</span></div></div>\")),g+=f;e.chapters.find(\"div.mejs-chapter\").click(function(){e.media.setCurrentTime(parseFloat(a(this).attr(\"rel\"))),e.media.paused&&e.media.play()}),e.chapters.show()}}),mejs.language={codes:{af:\"Afrikaans\",sq:\"Albanian\",ar:\"Arabic\",be:\"Belarusian\",bg:\"Bulgarian\",ca:\"Catalan\",zh:\"Chinese\",\"zh-cn\":\"Chinese Simplified\",\"zh-tw\":\"Chinese Traditional\",hr:\"Croatian\",cs:\"Czech\",da:\"Danish\",nl:\"Dutch\",en:\"English\",et:\"Estonian\",fl:\"Filipino\",fi:\"Finnish\",fr:\"French\",gl:\"Galician\",de:\"German\",el:\"Greek\",ht:\"Haitian Creole\",iw:\"Hebrew\",hi:\"Hindi\",hu:\"Hungarian\",is:\"Icelandic\",id:\"Indonesian\",ga:\"Irish\",it:\"Italian\",ja:\"Japanese\",ko:\"Korean\",lv:\"Latvian\",lt:\"Lithuanian\",mk:\"Macedonian\",ms:\"Malay\",mt:\"Maltese\",no:\"Norwegian\",fa:\"Persian\",pl:\"Polish\",pt:\"Portuguese\",ro:\"Romanian\",ru:\"Russian\",sr:\"Serbian\",sk:\"Slovak\",sl:\"Slovenian\",es:\"Spanish\",sw:\"Swahili\",sv:\"Swedish\",tl:\"Tagalog\",th:\"Thai\",tr:\"Turkish\",uk:\"Ukrainian\",vi:\"Vietnamese\",cy:\"Welsh\",yi:\"Yiddish\"}},mejs.TrackFormatParser={webvtt:{pattern_timecode:/^((?:[0-9]{1,2}:)?[0-9]{2}:[0-9]{2}([,.][0-9]{1,3})?) --\\> ((?:[0-9]{1,2}:)?[0-9]{2}:[0-9]{2}([,.][0-9]{3})?)(.*)$/,parse:function(b){for(var c,d,e,f=0,g=mejs.TrackFormatParser.split2(b,/\\r?\\n/),h={text:[],times:[]};f<g.length;f++){if(c=this.pattern_timecode.exec(g[f]),c&&f<g.length){for(f-1>=0&&\"\"!==g[f-1]&&(e=g[f-1]),f++,d=g[f],f++;\"\"!==g[f]&&f<g.length;)d=d+\"\\n\"+g[f],f++;d=a.trim(d).replace(/(\\b(https?|ftp|file):\\/\\/[-A-Z0-9+&@#\\/%?=~_|!:,.;]*[-A-Z0-9+&@#\\/%=~_|])/gi,\"<a href='$1' target='_blank'>$1</a>\"),h.text.push(d),h.times.push({identifier:e,start:0===mejs.Utility.convertSMPTEtoSeconds(c[1])?.2:mejs.Utility.convertSMPTEtoSeconds(c[1]),stop:mejs.Utility.convertSMPTEtoSeconds(c[3]),settings:c[5]})}e=\"\"}return h}},dfxp:{parse:function(b){b=a(b).filter(\"tt\");var c,d,e=0,f=b.children(\"div\").eq(0),g=f.find(\"p\"),h=b.find(\"#\"+f.attr(\"style\")),i={text:[],times:[]};if(h.length){var j=h.removeAttr(\"id\").get(0).attributes;if(j.length)for(c={},e=0;e<j.length;e++)c[j[e].name.split(\":\")[1]]=j[e].value}for(e=0;e<g.length;e++){var k,l={start:null,stop:null,style:null};if(g.eq(e).attr(\"begin\")&&(l.start=mejs.Utility.convertSMPTEtoSeconds(g.eq(e).attr(\"begin\"))),!l.start&&g.eq(e-1).attr(\"end\")&&(l.start=mejs.Utility.convertSMPTEtoSeconds(g.eq(e-1).attr(\"end\"))),g.eq(e).attr(\"end\")&&(l.stop=mejs.Utility.convertSMPTEtoSeconds(g.eq(e).attr(\"end\"))),!l.stop&&g.eq(e+1).attr(\"begin\")&&(l.stop=mejs.Utility.convertSMPTEtoSeconds(g.eq(e+1).attr(\"begin\"))),c){k=\"\";for(var m in c)k+=m+\":\"+c[m]+\";\"}k&&(l.style=k),0===l.start&&(l.start=.2),i.times.push(l),d=a.trim(g.eq(e).html()).replace(/(\\b(https?|ftp|file):\\/\\/[-A-Z0-9+&@#\\/%?=~_|!:,.;]*[-A-Z0-9+&@#\\/%=~_|])/gi,\"<a href='$1' target='_blank'>$1</a>\"),i.text.push(d),0===i.times.start&&(i.times.start=2)}return i}},split2:function(a,b){return a.split(b)}},3!=\"x\\n\\ny\".split(/\\n/gi).length&&(mejs.TrackFormatParser.split2=function(a,b){var c,d=[],e=\"\";for(c=0;c<a.length;c++)e+=a.substring(c,c+1),b.test(e)&&(d.push(e.replace(b,\"\")),e=\"\");return d.push(e),d})}(mejs.$),function(a){a.extend(mejs.MepDefaults,{contextMenuItems:[{render:function(a){return\"undefined\"==typeof a.enterFullScreen?null:a.isFullScreen?mejs.i18n.t(\"Turn off Fullscreen\"):mejs.i18n.t(\"Go Fullscreen\")},click:function(a){a.isFullScreen?a.exitFullScreen():a.enterFullScreen()}},{render:function(a){return a.media.muted?mejs.i18n.t(\"Unmute\"):mejs.i18n.t(\"Mute\")},click:function(a){a.media.muted?a.setMuted(!1):a.setMuted(!0)}},{isSeparator:!0},{render:function(a){return mejs.i18n.t(\"Download Video\")},click:function(a){window.location.href=a.media.currentSrc}}]}),a.extend(MediaElementPlayer.prototype,{buildcontextmenu:function(b,c,d,e){b.contextMenu=a('<div class=\"mejs-contextmenu\"></div>').appendTo(a(\"body\")).hide(),b.container.bind(\"contextmenu\",function(a){return 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aria-label=\"'+g+'\">'+f.options.skipBackInterval+\"</button></div>\").appendTo(c).click(function(){e.setCurrentTime(Math.max(e.currentTime-f.options.skipBackInterval,0)),a(this).find(\"button\").blur()})}})}(mejs.$),function(a){a.extend(mejs.MepDefaults,{postrollCloseText:mejs.i18n.t(\"Close\")}),a.extend(MediaElementPlayer.prototype,{buildpostroll:function(b,c,d,e){var f=this,g=f.container.find('link[rel=\"postroll\"]').attr(\"href\");\"undefined\"!=typeof g&&(b.postroll=a('<div class=\"mejs-postroll-layer mejs-layer\"><a class=\"mejs-postroll-close\" onclick=\"$(this).parent().hide();return false;\">'+f.options.postrollCloseText+'</a><div 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cookieName='mautic-player-'+i+'-'+node.dataset.formId;MauticJS.makeCORSRequest('GET','https://ma.orcam.com/form/embed/'+node.dataset.formId,{},function(data){mediaPlayers[i].formHtml=data;});}else{mediaPlayers[i].formHtml='';}\nif(!node.dataset.formId&&!node.dataset.mauticVideo){return;}\nmediaPlayers[i].player=new MediaElementPlayer('#'+node.id,{features:playerFeatures,alwaysShowControls:true,enableKeyboard:false,success:function(mediaElement,domElement){mediaPlayers[i].inPoster=false;mediaPlayers[i].success=false;mediaPlayers[i].views=[];mediaPlayers[i].mediaElement=mediaElement;if(!node.dataset.mp4){node.parentElement.parentElement.parentElement.className+=' no-controls';}\nvar iframes=node.parentElement.getElementsByTagName('iframe');if(iframes){MauticJS.iterateCollection(iframes)(function(node,i){node.setAttribute('tabindex',-1);});}\nmediaElement.addEventListener('ended',function(e){MauticJS.endCurrentView(i);});mediaElement.addEventListener('timeupdate',function(e){var currentTime=0;if('Event'==e.constructor.name){currentTime=e.srcElement.currentTime;}else{currentTime=e.currentTime;}\nMauticJS.addVideoView(i,currentTime);if(node.dataset.formId&&document.cookie.indexOf(cookieName)==-1&¤tTime>=node.dataset.gateTime&&mediaPlayers[i].inPoster===false&&mediaPlayers[i].success===false){if(document.activeElement.tagName=='IFRAME'){window.mejs.previousActiveElement=document.activeElement;document.activeElement.blur();}\nmediaPlayers[i].inPoster=true;mediaPlayers[i].player.pause();mediaPlayers[i].poster=document.getElementById(node.id).parentElement.parentElement.getElementsByClassName('mejs-poster')[0];mediaPlayers[i].poster.innerHTML=mediaPlayers[i].formHtml;mediaPlayers[i].poster.style.display='block';mediaPlayers[i].form=mediaPlayers[i].poster.getElementsByTagName('form')[0];mediaPlayers[i].form.className+=' 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jQuery.each(c,function(e,i){u=jQuery(i).length>0?u-jQuery(i).outerHeight(!0):u}),e.fullScreenOffset.split(\"%\").length>1&&void 0!=e.fullScreenOffset&&e.fullScreenOffset.length>0?u-=jQuery(window).height()*parseInt(e.fullScreenOffset,0)/100:void 0!=e.fullScreenOffset&&e.fullScreenOffset.length>0&&(u-=parseInt(e.fullScreenOffset,0))}f=u}else void 0!=e.minHeight&&f<e.minHeight&&(f=e.minHeight);e.c.closest(\".rev_slider_wrapper\").css({height:f})\t\t\t\t\t\n\t\t\t\t\t\t}catch(d){console.log(\"Failure at Presize of Slider:\"+d)}\t\t\t\t\t\t\n\t\t\t\t\t};</script>\n\t\t<style type=\"text/css\" id=\"wp-custom-css\">\n\t\t\t.quotes\n{\n clear: both !important;\n}\nform#wpsl-widget-form {\n width: 320px; /* 400px; */\n background-image: url('/wp-content/uploads/2018/06/bg_map_home_3-min.png');\n background-color: #000;\n margin: 0 10px; \n padding-top: 40px;\n}\n.single-features h3.page-margin-top-section\n{\n display:none;\n}\n#cboxTitle\n{\nheight: 30px !important;\nbackground: #fff !important;\ncolor:#000;\n}\n#cboxCurrent\n{\n left: 125px !important; \n}\n.single-features .page-margin-top\n{\n margin-top: 70px;\n}\n.individual-about\n{\n padding: 1em 0;\ncolor: #666;\nline-height: 1.71429;\n}\nform#wpsl-widget-form input[type=\"submit\"] {\n background-color: transparent;\n padding: 12px 45px;\ncolor: #FFF;\nborder: 1px solid #FFF;\n margin: 0 auto;\ndisplay: table;\n}\n\nform#wpsl-widget-form input[type=\"submit\"]:hover\n{\n background-color: #FFF;\ncolor: #000;\nborder-color: #FFF;\n}\nform#wpsl-widget-form input[type=\"submit\"]::after {\n content: \"\\61\";\n display: inline-block;\nfont-size: 16px;\nmargin-left: 8px;\n}\ninput#wpsl-widget-search\n{\n margin: 0 auto;\ndisplay: table;\n padding: 12px 20px;\n}\n.coname .er {\n font-weight: bold;\n color: #003056; /* #d62828; */\n}\n.coname .premi {\n font-weight: bold;\n}\n.coname {\n text-transform: uppercase;\n color: #000;\n}\n.all-content {\n margin: 0 59px;\n padding-bottom: 50px;\n}\n.site-location\n{\n width: 90%;\n margin: 0 auto;\n background: #F8F8F8;\n}\naside#subnav.individual {\n display: block;\n width: 24%;\n min-height: 400px;\n float: left;\n clear: left;\n margin-right: 0px;\n padding-top: 30px !important;\n}\n.individual-photo-box {\n position: relative;\n width: 233px;\n height: 243px;\n border: 1px solid #333;\n margin: 0;\n margin-bottom: 25px;\n padding: 0;\n}\n.individual-photo {\n width: 100%;\n height: 243px;\n margin: 0;\n padding: 0;\n \n}\n.main-content {\n display: block;\n margin-left: 2%;\n padding-top: 30px !important;\n padding-right: 0px;\n float: left;\nwidth: 74%;\n padding-bottom:30px !important;\n}\n\n.individual-info {\n color: #666;\n line-height: 1.71429;\n}\n.wpsl_stores.type-wpsl_stores table.columns td, .wpsl_stores.type-wpsl_stores table.columns th,\n.page-template-page-templatesindividual-php table.columns td, .wpsl_stores.type-wpsl_stores table.columns th\n{\n font-family: 'Source Sans Pro', 'Arial', sans-serif;\n font-size: 16px;\n line-height: 1.625;\n color: #000;\n}\n.wpsl_stores.type-wpsl_stores table td ul li , \n.page-template-page-templatesindividual-php table td ul li {\n list-style: none;\n}\n.wpsl_stores.type-wpsl_stores table td ul li::before , .page-template-page-templatesindividual-php table td ul li::before {\n display: inline-block;\n content: \"\\7a\";\n font-family: \"template\" !important;\n margin-right: 8px;\n font-weight: normal;\n color: #003056; /* #d62828; */\n}\n.wpsl_stores.type-wpsl_stores h4 , .page-template-page-templatesindividual-php h4 {\n padding-top: 20px !important;\n font-size: 18px;\n line-height: 21px;\n font-weight: normal;\n text-transform: uppercase;\n letter-spacing: 2.5px;\n color: #003056; /* #d62828; */\n margin-bottom: 0px; }\n\naside#subnav .sub-buttons ul li.forms a {\nbackground-color: #003056; /* #d62828; */\ntext-transform: uppercase;\ncolor: #fff; \n float: right;\nwidth: 150px;\npadding: 11px 19px;\ntext-align: center;\noutline: none;\n-webkit-box-sizing: border-box;\n-moz-box-sizing: border-box;\nbox-sizing: border-box;\n margin-bottom:30px;\n}\naside#subnav .sub-buttons ul li {\n margin: 0;\n margin-bottom: 12px;\n width: 144px;\n}\naside#subnav .sub-buttons ul li.forms a:hover {\n text-decoration: none;\n}\naside#subnav .sub-buttons ul {\n text-align: center;\n list-style: none;\n width: 144px;\n margin: 0 auto;\n margin-bottom: 40px;\n padding: 0;\n}\n\n.dark {\n background:#24252A;\n}\n\n.flex {\n \n display:flex;\n align-items:center;\n justify-content:center;\n}\nfieldset.vc_col_container_custom {\n margin-left: 0 !important;\n}\nfieldset.vc_col_container_custom select {\n width: 100%;\n padding: 13px 22px;\n color: #000;\n margin: 0;\n background: #F0F0F0;\n border: none;\n}\n.checkbox_custom {\n padding-top: 15px;\n}\n.checkbox_custom input[type=\"checkbox\"] {\n /*float: left;*/\n width: auto;\n margin: 6px 10px 0 0;\n}\n\n.vc_col_container_custom .comment-form input[type='submit'] {\n background-color: #003056; /* #d62828; */ text-transform: uppercase;\n color: #fff;\n}\n\n.header_share a.billpay_icon {\n background-color: transparent;\n max-width: 100px;\n opacity: 1;\n}\n.header_share a.billpay_icon:hover img {\n background-color: transparent;\n}\n\n\n/*new css 12-june-18*/\n.row_custom {\n max-width: 1260px;\n margin: 0 auto;\n width: auto;\n float: none;\n}\n.row_custom:after{clear: both; content: \"\"; display: block;}\n.row_custom *{box-sizing: border-box;}\n.col_sm_6, .col_sm_12 {\n padding-left: 15px;\n padding-right: 15px;\n}\n\n.col_sm_12.message-field {\n clear: both; padding-top: 1px;\n}\n.vc_col_container_custom .comment-form input[type='submit'] {\n background-color: #003056; /* #d62828; */\n text-transform: uppercase;\n color: #fff;\n max-width: 200px;\n float: none;\n margin: 20px auto 0;\n display: block;\n}\n\n@media screen and (min-width: 768px) {\n .col_sm_6 {float: left;width: 50%;}\n .header.layout-1{padding-bottom: 10px}\n .header-left {position: relative;top: -20px;}\n form#wpsl-widget-form label { position: relative; top: -30px;}\n }\nform#wpsl-widget-form input[type=\"submit\"] { line-height: 20px;}\nform#wpsl-widget-form label { font-size: 24px; line-height: 1.5;}\n\n.side_button_custom {\n margin-top: 24px;clear: both;\n background-color: #4da0d2; /* #b31212; */\n padding: 10px; position: relative; z-index: 99;\n}\n.side_button_custom .more.mc-button {\n border: solid 1px #fff !important;\n display: block;\n width: 100%;\n margin-top: -1px !important;\n background-color: transparent !important;\n text-align: center;\n color: #fff !important;\n}\n.side_button_custom .more.mc-button:hover {\n color: rgba(255, 255, 255, 0.7) !important;\n}\n.side_button_custom br {\n display: none;\n} \n\nul.footer-banner-box-container .animated-element,\n.contact-view .animated-element,\n#medicenter_appointment-3 .animated-element\n{\n visibility: visible;\n}\n\n\n#wpsl-widget-form label {\n\n display: block;\n font-size: 30px;\n color: #fff !important;\n text-align: center;\n\n}\n.wpsl_stores.type-wpsl_stores h4::after , .page-template-page-templatesindividual-php h4::after {\n content: \"\";\n display: block;\n bottom: 0;\n width: 50px;\n height: 2px;\n background: #003056; /* #d62828; */\n margin-top: 7px;}\n.quotes \n{ \n font-family: 'Source Sans Pro', 'Arial', sans-serif;\ncolor: #003056; /* #d62828; */\n font-size: 18px;\nfont-style: italic;\nline-height: 1.55556;\n margin-top: 42px;\n}\n.attribute {\n float: right;\n margin-top: 25px;\n color: #999;\n font-size: 13px;\n font-style: normal;\n padding-bottom: 1px;\n}\n.single-wpsl_stores .footer-container , .page-template-page-templatesindividual-php .footer-container\n{\n clear:both;\n}\n@media only screen and (min-width: 280px) and (max-width: 768px) \n{\nform#wpsl-widget-form {\nwidth: 100% !important;\nmargin: 0 0px !important;\npadding: 40px 20px !important;\n}\naside#subnav.individual {\n width: 100% !important;\n float: none !important;\n clear: none !important;\n margin-bottom: 40px !important;\n}\n.main-content {\n display: block;\n margin-left: 0% !important;\n padding-top: 28px;\n padding-right: 0px;\n float: none !important;\nwidth: 100% !important;\n}\n}\n@media screen and (max-width: 600px) {\n .cmsmasters_table tr td, .cmsmasters_table tr th {\n padding: 15px;\n min-height: 50px;\n}\n table {\n border: 0;\n }\n table caption {\n font-size: 1.3em;\n }\n table thead {\n border: none;\n clip: rect(0 0 0 0);\n height: 1px;\n margin: -1px;\n overflow: hidden;\n padding: 0;\n position: absolute;\n width: 100%;\n }\n table tr {\n border-bottom: 3px solid #ddd;\n display: block;\n margin-bottom: .625em;\n }\n table td {\n border-bottom: 1px solid #ddd;\n display: block;\n }\n .wpb_widgetised_column .wpb_wrapper > ul > li.home-box-container {\n\n margin-top: -30px; }\n}\n\n\n.comment-form-custom\n{\n width: 100%;\n}\n.comment-form-custom label\n{\n display: block;\n font-size: 12px;\n line-height: 1.83334;\n color: #999;\n margin-top: 8px;\n margin-bottom: 8px;text-align: left;\n}\n.comment-form-custom label.first\n{\n margin-top: 0;\n}\n.comment-form-custom input, .comment-form-custom textarea\n{\n width: 100% !important;\n padding: 13px 22px;\n color: #000;\n margin: 0;\n background: #F0F0F0;\n border: none;\n -moz-box-sizing: border-box;\n -webkit-box-sizing: border-box;\n box-sizing: border-box;\n}\n.contact-form textarea\n{\n height: 150px;\n}\n.comment-form-custom textarea\n{\n height: 226px;\n}\n.contact_form .block\n{\n margin-top: 10px;\n}\n.contact_form .block:first-child\n{\n margin-top: 0;\n}\n.comment-form-custom input[type='submit']\n{\n float: right;\n width: 150px;\n padding: 11px 19px;\n margin-top: 30px;\n cursor: pointer;\n text-align: center;\n outline: none;\n -webkit-box-sizing: border-box;\n -moz-box-sizing: border-box;\n box-sizing: border-box;\n}\n.comment-form-custom select {\n width: 100%!important;\n padding: 13px 22px;\n color: #000;\n margin: 0;\n background: #F0F0F0;\n border: none;\n}\n.comment-form-custom input[type=\"checkbox\"] {\n float: left;\n width: auto !important;\n margin: 0px 10px 0 0;\n}\n.comment-form-custom .checkbox_custom {\n text-align: left;\n}\n\n.comment-form-custom input[type='submit']\n{\n border-color: #3156A3;\n background-color: #3156A3; color: #fff; text-transform: uppercase;\n}\n.home #rev_slider_2_1.rev_slider h2 strong\n{\ncolor: #003056 !important; /* #d62828 !important; */ \n}\n.home #rev_slider_2_1.rev_slider p\n{\ncolor: #003056 !important; /* #d62828 !important; */ \n}\n.individual-photo-box a:link {\n position: absolute;\n right: 0;\n bottom: 0;\n display: block;\n width: 28px;\n height: 28px;\n background: url(/wp-content/uploads/2018/06/photo_gallery@2x.jpg) no-repeat top left;\n background-size: auto auto;\n background-size: 28px 28px;\n}\n.icons-list>img {\n float: left;\n}\n.icons-list a img {\n opacity: 1;\n}\n.icons-list a:hover img {\n background-color: transparent !important;\n opacity: 0.9;\n}\n.individual-photo-box a:link span {\n display: none;\n}\n.gallery {\n display: none;\n}\n\n.comment-box .comments-number {\n position: relative;\n width: 110px;\n margin-top: 2px;\n display: none;\n}\n\n.post-content .more, .simple .more {\n clear: both;\n float: none;\n display: none;\n}\n\n\n/* NAV HOVER & SELECTED */\n\n.sf-menu li:hover a, \n.sf-menu li.selected a, \n.sf-menu li.current-menu-item a, \n.sf-menu li.current-menu-ancestor a {\n background-color: #003056; /* #d62828; */\n}\n\n\n/* LOCATIONS PAGE LIST */\n\n.locations-columns {\n\tcolumn-count: 3;\n\tcolumn-gap: 20px;\n}\n.locations-columns li {\n\tmargin-bottom: 20px;\t\n}\n\n.storelocator-panel .panel-inner .item {\n\tcursor: pointer;\n}\t\t</style>\n\t\t<style type=\"text/css\" data-type=\"vc_shortcodes-custom-css\">.vc_custom_1527956204381{padding-top: 4% !important;padding-right: 10% !important;padding-left: 10% !important;}</style><noscript><style type=\"text/css\"> .wpb_animate_when_almost_visible { opacity: 1; }</style></noscript>\t\t<!--custom style-->\n<style type=\"text/css\">\n\t\t.mc-icon,\n\t.mc-features-style-light .hexagon span::before,\n\t.hexagon.style-light span:before,\n\t.simple-list li::before,\n\t.single .post-content ul li::before\n\t{\n\t\tcolor: #003056;\n\t}\n\t.box-header::after,\n\t.sf-menu li:hover a, .sf-menu li.selected a, .sf-menu li.current-menu-item a, .sf-menu li.current-menu-ancestor a,\n\t.mobile-menu-container nav.mobile-menu>ul li.current-menu-item>a,\n\t.mobile-menu-container nav.mobile-menu>ul li.current-menu-ancestor ul li.current-menu-item a,\n\t.mobile-menu-container nav.mobile-menu>ul li.current-menu-ancestor ul li.current-menu-parent ul li.current-menu-item a,\n\t.mobile-menu-container nav.mobile-menu>ul li.current-menu-ancestor a,\n\t.mobile-menu-container nav.mobile-menu>ul li.current-menu-ancestor ul li.current-menu-parent a,\n\t.mobile-menu-container nav.mobile-menu>ul li.current-menu-ancestor ul li.current-menu-parent ul li.current-menu-parent a,\n\t.social-icons li a:hover::before,\n\t.icon-single[class^=\"social-\"]:hover::before, .icon-single[class*=\" social-\"]:hover::before,\n\t.hexagon,\n\t.timeline-item label,\n\t.items-list .value,\n\t.comment-box .comments-number a,\n\t.comment-form .mc-button:hover,\n\t.contact-form .mc-button:hover,\n\t.pagination li a:hover,\n\t.pagination li.selected a,\n\t.pagination li.selected span,\n\t.categories li a:hover,\n\t.widget_categories li a:hover,\n\t.categories li.current-cat a,\n\t.widget_categories li.current-cat a,\n\t.widget_tag_cloud a:hover,\n\t.tabs-box-navigation.sf-menu .tabs-box-navigation-selected:hover,\n\t.timetable .event.tooltip:hover,\n\t.timetable .event .event-container.tooltip:hover,\n\t.tooltip .tooltip-content,\n\t.gallery-box:hover .description,\n\t.gallery-box .controls a:hover,\n\t.widget_archive li a:hover,\n\t.scroll-top:hover,\n\t.home-box-container:nth-child(3n+1),\n\t.footer-banner-box-container .footer-banner-box:nth-child(3n+1),\n\t.more.light-color,\n\t.more.dark-color:hover\n\t\t{\n\t\tbackground-color: #003056;\n\t}\n\t.header.layout-2 .sf-menu li:hover a, .header.layout-2 .sf-menu li.selected a, .header.layout-2 .sf-menu li.current-menu-item a, .header.layout-2 .sf-menu li.current-menu-ancestor a,\n\t.header.layout-2 .sf-menu li ul li a:hover, .header.layout-2 .sf-menu li ul li.selected a, .header.layout-2 .sf-menu li ul li.current-menu-item a, .header.layout-2 .sf-menu>li.menu-item-has-children ul li a:hover, .header.layout-2 .sf-menu>li.menu-item-has-children:hover ul li.selected a, .header.layout-2 .sf-menu>li.menu-item-has-children:hover ul li.current-menu-item a, .header.layout-2 .sf-menu>li.menu-item-has-children:hover ul li.selected ul li a:hover, .header.layout-2 .sf-menu>li.menu-item-has-children:hover ul li.current-menu-item ul li a:hover, .header.layout-2 .sf-menu>li.menu-item-has-children:hover ul li ul li.selected a, .header.layout-2 .sf-menu>li.menu-item-has-children:hover ul li ul li.current-menu-item a, .header.layout-2 .sf-menu>li.menu-item-has-children:hover ul li.selected ul li.selected a, .header.layout-2 .sf-menu>li.menu-item-has-children:hover ul li.selected ul li.current-menu-item a, .header.layout-2 .sf-menu>li.menu-item-has-children:hover ul li.menu-item-type-custom a:hover, .header.layout-2 .sf-menu li ul li.menu-item-type-custom a:hover,\n\t.sf-menu li ul li a:hover, .sf-menu li ul li.selected a, .sf-menu li ul li.current-menu-item a, .sf-menu>li.menu-item-has-children:hover ul li.current-menu-item ul li.current-menu-item a,\n\t.sf-menu>li.menu-item-has-children ul li a:hover, .sf-menu>li.menu-item-has-children:hover ul li.selected a, .sf-menu>li.menu-item-has-children:hover ul li.current-menu-item a, .sf-menu>li.menu-item-has-children:hover ul li.current-menu-item ul li.current-menu-item ul li a:hover,\n\t.sf-menu>li.menu-item-has-children:hover ul li.selected ul li a:hover,.sf-menu>li.menu-item-has-children:hover ul li.current-menu-item ul li a:hover, .sf-menu>li.menu-item-has-children:hover ul li ul li.selected a, .sf-menu>li.menu-item-has-children:hover ul li ul li.current-menu-item a, .sf-menu>li.menu-item-has-children:hover ul li.selected ul li.selected a, .sf-menu>li.menu-item-has-children:hover ul li.selected ul li.current-menu-item a,\n\t.sf-menu>li.menu-item-has-children:hover ul li.menu-item-type-custom a:hover, .sf-menu li ul li.menu-item-type-custom a:hover, .sf-menu>li.menu-item-has-children:hover ul li.current-menu-item ul li.menu-item-type-custom a:hover,\n\t.mobile-menu-container nav.mobile-menu>ul li.current-menu-item>a,\n\t.mobile-menu-container nav.mobile-menu>ul li.current-menu-ancestor ul li.current-menu-item a,\n\t.mobile-menu-container nav.mobile-menu>ul li.current-menu-ancestor ul li.current-menu-parent ul li.current-menu-item a,\n\t.mobile-menu-container nav.mobile-menu>ul li.current-menu-ancestor a,\n\t.mobile-menu-container nav.mobile-menu>ul li.current-menu-ancestor ul li.current-menu-parent a,\n\t.mobile-menu-container nav.mobile-menu>ul li.current-menu-ancestor ul li.current-menu-parent ul li.current-menu-parent a,\n\t.vertical-menu li a:hover,\n\t.vertical-menu li.is-active a,\n\t.timeline-item .label-container .timeline-circle::after,\n\t.scrolling-list-control-left:hover,\n\t.scrolling-list-control-right:hover,\n\t.comment-form .mc-button:hover,\n\t.contact-form .mc-button:hover,\n\t.pagination li a:hover,\n\t.pagination li.selected a,\n\t.pagination li.selected span,\n\t.categories li a:hover,\n\t.widget_categories li a:hover,\n\t.categories li.current-cat a,\n\t.widget_categories li.current-cat a,\n\t.widget_tag_cloud a:hover,\n\t.tabs-box-navigation.sf-menu li:hover ul, .tabs-box-navigation.sf-menu li.sfHover ul,\n\t.controls .prev:hover,\n\t.controls .next:hover,\n\t.controls .close:hover,\n\t.gallery-box:hover .item-details,\n\t.widget_archive li a:hover,\n\t.footer .header-right a.scrolling-list-control-left:hover, \n\t.footer .header-right a.scrolling-list-control-right:hover,\n\t.header-right a.scrolling-list-control-left:hover, \n\t.header-right a.scrolling-list-control-right:hover,\n\t.tabs-navigation li a:hover,\n\t.tabs-navigation li a.selected,\n\t.tabs-navigation li.ui-tabs-active a,\n\t.scrolling-list li a:hover .number,\n\t.more.light-color,\n\t.more.dark-color:hover\n\t\t{\n\t\tborder-color: #003056;\n\t}\n\t.sf-menu>li.menu-item-has-children:hover ul li.menu-item-type-custom a,\n\t.sf-menu>li.menu-item-has-children:hover ul li.selected ul li a,\n\t.sf-menu>li.menu-item-has-children:hover ul li.current-menu-item ul li a,\n\t.sf-menu>li.menu-item-has-children:hover ul li.current-menu-item ul li.menu-item-type-custom a,\n\t.sf-menu>li.menu-item-has-children:hover ul li.current-menu-item ul li.current-menu-item ul li a,\n\t.sf-menu li ul li.menu-item-type-custom a\n\t{\n\t\tcolor: #666;\n\t\tborder-color: #E5E5E5;\n\t}\n\t.header.layout-2 .sf-menu>li.menu-item-has-children:hover ul li.menu-item-type-custom a,\n\t.header.layout-2 .sf-menu>li.menu-item-has-children:hover ul li.selected ul li a,\n\t.header.layout-2 .sf-menu>li.menu-item-has-children:hover ul li.current-menu-item ul li a,\n\t.header.layout-2 .sf-menu li ul li.menu-item-type-custom a\n\t{\n\t\tborder-color: #E5E5E5;\n\t}\n\t.hexagon::before,\n\t.hexagon.small::before,\n\t.comment-box .arrow-comments,\n\t.tooltip .tooltip-arrow\n\t\t{\n\t\tborder-bottom-color: #003056;\n\t}\n\t.hexagon::after,\n\t.hexagon.small::after,\n\t.comment-box .arrow-comments,\n\t.tooltip .tooltip-arrow\n\t\t{\n\t\tborder-top-color: #003056;\n\t}\n\t.timeline-item .label-triangle\n\t{\n\t\tborder-left-color: #003056;\n\t}\n\t\ta,\n\tblockquote,\n\tblockquote p,\n\t.sentence,\n\t.bread-crumb li a:hover,\n\t.more,\n\t.accordion .ui-accordion-header.ui-state-hover h3,\n\t.post-footer-details li a:hover,\n\t#cancel_comment:hover\n\t\t{\n\t\tcolor: #003056;\n\t}\n\t\t.more.light:hover,\n\t.more.dark-color,\n\t.more.light-color:hover,\n\t.comment-box .date .value,\n\t.comment-form .mc-button,\n\t.contact-form .mc-button,\n\t.ui-datepicker-current-day,\n\t.wpb_content_element .accordion .ui-accordion-header.ui-state-active,\n\t.accordion .ui-accordion-header.ui-state-active,\n\t.tabs-box-navigation.sf-menu .tabs-box-navigation-selected,\n\t.dropcap .dropcap-label,\n\t.timetable .event,\n\t.tip,\n\t.home-box-container:nth-child(3n+3),\n\t.footer-banner-box-container .footer-banner-box:nth-child(3n+3)\n\t\t{\n\t\tbackground-color: #003056;\n\t}\n\tblockquote,\n\t.more.dark-color,\n\t.more.light-color:hover,\n\t.more.light:hover,\n\t.comment-form .mc-button,\n\t.contact-form .mc-button,\n\t.wpb_content_element .accordion .ui-accordion-header.ui-state-active,\n\t.accordion .ui-accordion-header.ui-state-active\n\t\t{\n\t\tborder-color: #003056;\n\t}\n\t.comment-box .date .arrow-date\n\t{\n\t\tborder-top-color: #003056;\n\t}\n\t.comment-box .date .arrow-date\n\t{\n\t\tborder-bottom-color: #003056;\n\t}\n\t\t.home-box-container:nth-child(3n+2),\n\t.footer-banner-box-container .footer-banner-box:nth-child(3n+2)\n\t{\n\t\tbackground-color: #003056;\n\t}\n\t\t.sf-menu li:hover a, .sf-menu li.selected a, .sf-menu li.current-menu-item a, .sf-menu li.current-menu-ancestor a\n\t{\n\t\t\t\tbackground-color: #003056;\n\t\t\t}\n\t.header.layout_2 .sf-menu li:hover a, .header.layout_2 .sf-menu li.selected a, .header.layout_2 .sf-menu li.current-menu-item a, .header.layout_2 .sf-menu li.current-menu-ancestor a\n\t{\n\t\t\t\tborder-color: #003056;\n\t\t\t}\n\t\t.mobile-menu-container nav.mobile-menu>ul li.current-menu-item>a,\n\t.mobile-menu-container nav.mobile-menu>ul li.current-menu-ancestor ul li.current-menu-item a,\n\t.mobile-menu-container nav.mobile-menu>ul li.current-menu-ancestor ul li.current-menu-parent ul li.current-menu-item a,\n\t.mobile-menu-container nav.mobile-menu>ul li.current-menu-ancestor a,\n\t.mobile-menu-container nav.mobile-menu>ul li.current-menu-ancestor ul li.current-menu-parent a,\n\t.mobile-menu-container nav.mobile-menu>ul li.current-menu-ancestor ul li.current-menu-parent ul li.current-menu-parent a\n\t{\n\t\tbackground-color: #003056;\n\t\tborder-left-color: #003056;\n\t\tborder-right-color: #003056;\n\t}\n\t\th1, h2, h3, h4, h5,\n\t.header-left a, .logo,\n\t.top-info-list li .value,\n\t.footer-banner-box p,\n\t.rev_slider p,\n\ttable td:first-child, table th:first-child\n\t\t{\n\t\tfont-family: 'Open Sans';\n\t}\n\t\tblockquote,\n\t.sentence\n\t{\n\t\tfont-family: 'Open Sans';\n\t}\n\t</style>\t</head>\n\t<body data-rsssl=1 class=\"home page-template page-template-template-default-without-breadcrumbs page-template-template-default-without-breadcrumbs-php page page-id-3622 wpb-js-composer js-comp-ver-5.4.7 vc_responsive\">\n\t\t<div class=\"site-container fullwidth\">\n\t\t\t\t\t\t\t<div class=\"header-top-sidebar-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"header-top-sidebar clearfix\">\n\t\t\t\t\t\t\t\t\t<div class=\"textwidget\"><div class=\"clearfix\" style=\"padding: 17px 0;\">\n<ul class=\"thin-list\">\n<li><a href=\"tel:484-778-8008\" class=\"header-icon template-phone\">484-778-8008</a></li>\n</ul>\n<div class=\"icons-list\"><a href=\"/bill-payment/\"><img src=\"/wp-content/uploads/2018/06/icon_bill_pay@2x.png\" alt=\"Bill Payment\" width=\"94\" height=\"25\" /></a><a href=\"https://www.facebook.com/TowerHealthUrgentCare/\" target=\"_blank\" class=\"icon-single mc-icon social-facebook\"></a></div>\n</div>\n</div>\n\t\t\t\t\t\t\t</div>\n\t\t\t\t\t\t\t\t</div>\n\t\t\t\t\t\t\t<!-- Header -->\n\t\t\t\t\t\t<div class=\"header-container \">\n\t\t\t\t<div class=\"header clearfix layout-1\">\n\t\t\t\t\t\t\t\t\t\t<div class=\"header-left\">\n\t\t\t\t\t\t<a href=\"https://www.towerhealthurgentcare.org\" title=\"Tower Health Urgent Care\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img src=\"/wp-content/uploads/2018/11/THUC_Logo.png\" alt=\"logo\" />\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t</a>\n\t\t\t\t\t\t<a href=\"#\" class=\"mobile-menu-switch vertical-align-cell\">\n\t\t\t\t\t\t\t<span class=\"line\"></span>\n\t\t\t\t\t\t\t<span class=\"line\"></span>\n\t\t\t\t\t\t\t<span class=\"line\"></span>\n\t\t\t\t\t\t\t<span class=\"line\"></span>\n\t\t\t\t\t\t</a>\n\t\t\t\t\t\t\t\t\t\t\t</div>\n\t\t\t\t\t<div class=\"menu-main_menu-container\"><ul id=\"menu-main_menu\" class=\"sf-menu header-right\"><li id=\"menu-item-3915\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-home current-menu-item page_item page-item-3622 current_page_item menu-item-3915\"><a href=\"https://www.towerhealthurgentcare.org/\" aria-current=\"page\">Home</a></li>\n<li id=\"menu-item-51\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-has-children menu-item-51\"><a href=\"https://www.towerhealthurgentcare.org/about/\">About</a>\n<ul class=\"sub-menu\">\n\t<li id=\"menu-item-54\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-54\"><a href=\"https://www.towerhealthurgentcare.org/about/insurances/\">Insurances & Billing</a></li>\n\t<li id=\"menu-item-55\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-55\"><a href=\"https://www.towerhealthurgentcare.org/about/faq/\">FAQ</a></li>\n</ul>\n</li>\n<li id=\"menu-item-56\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-has-children menu-item-56\"><a href=\"https://www.towerhealthurgentcare.org/services/\">Services</a>\n<ul class=\"sub-menu\">\n\t<li id=\"menu-item-3942\" class=\"menu-item menu-item-type-post_type menu-item-object-features menu-item-3942\"><a href=\"https://www.towerhealthurgentcare.org/features/urgent-care/\">Urgent Care</a></li>\n\t<li id=\"menu-item-3941\" class=\"menu-item menu-item-type-post_type menu-item-object-features menu-item-3941\"><a href=\"https://www.towerhealthurgentcare.org/features/sports-injuries/\">Orthopedic and Sports Injuries</a></li>\n\t<li id=\"menu-item-3940\" class=\"menu-item menu-item-type-post_type menu-item-object-features menu-item-3940\"><a href=\"https://www.towerhealthurgentcare.org/features/occupational-medicine/\">Occupational Health</a></li>\n\t<li id=\"menu-item-3939\" class=\"menu-item menu-item-type-post_type menu-item-object-features menu-item-3939\"><a href=\"https://www.towerhealthurgentcare.org/features/teleburn/\">Teleburn</a></li>\n\t<li id=\"menu-item-3938\" class=\"menu-item menu-item-type-post_type menu-item-object-features menu-item-3938\"><a href=\"https://www.towerhealthurgentcare.org/features/physicals/\">Physical Exams</a></li>\n</ul>\n</li>\n<li id=\"menu-item-4887\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-4887\"><a href=\"https://www.towerhealthurgentcare.org/locations/\">Locations</a></li>\n<li id=\"menu-item-63\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-has-children menu-item-63\"><a href=\"https://www.towerhealthurgentcare.org/forms/\">Forms</a>\n<ul class=\"sub-menu\">\n\t<li id=\"menu-item-408\" class=\"menu-item menu-item-type-custom menu-item-object-custom menu-item-408\"><a target=\"_blank\" href=\"/wp-content/uploads/2018/11/UC5609-Registration-Pack-11-20-18.pdf\">Patient Registration</a></li>\n\t<li id=\"menu-item-409\" class=\"menu-item menu-item-type-custom menu-item-object-custom menu-item-409\"><a target=\"_blank\" href=\"/wp-content/uploads/2018/11/UC5658-Employer-Auth.pdf\">Employer Authorization</a></li>\n\t<li id=\"menu-item-410\" class=\"menu-item menu-item-type-custom menu-item-object-custom menu-item-410\"><a target=\"_blank\" href=\"/wp-content/uploads/2018/11/UC5662-PHI-Release.pdf\">PHI Release Authorization</a></li>\n</ul>\n</li>\n<li id=\"menu-item-68\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-has-children menu-item-68\"><a href=\"https://www.towerhealthurgentcare.org/blog/\">Blog</a>\n<ul class=\"sub-menu\">\n\t<li id=\"menu-item-288\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-288\"><a href=\"https://www.towerhealthurgentcare.org/blog/\">All Posts</a></li>\n\t<li id=\"menu-item-4081\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-4081\"><a href=\"https://www.towerhealthurgentcare.org/blog/news/\">News</a></li>\n</ul>\n</li>\n<li id=\"menu-item-69\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-has-children menu-item-69\"><a href=\"https://www.towerhealthurgentcare.org/contact/\">Contact Us</a>\n<ul class=\"sub-menu\">\n\t<li id=\"menu-item-71\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-71\"><a href=\"https://www.towerhealthurgentcare.org/contact/\">Contact Us</a></li>\n\t<li id=\"menu-item-142\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-142\"><a href=\"https://www.towerhealthurgentcare.org/contact/testimonials/\">Testimonials</a></li>\n</ul>\n</li>\n<li id=\"menu-item-70\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-70\"><a href=\"https://www.towerhealthurgentcare.org/careers/\">Careers</a></li>\n</ul></div>\t\t\t\t\t\t\t<div class=\"mobile-menu-container clearfix\">\n\t\t\t\t\t\t\t\t<div class=\"mobile-menu-divider\"></div>\n\t\t\t\t\t\t\t\t<nav class=\"mobile-menu collapsible-mobile-submenus\"><ul id=\"menu-main_menu-1\" class=\"menu\"><li class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-home current-menu-item page_item page-item-3622 current_page_item menu-item-3915\"><a href=\"https://www.towerhealthurgentcare.org/\" aria-current=\"page\">Home</a></li>\n<li class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-has-children menu-item-51\"><a href=\"https://www.towerhealthurgentcare.org/about/\">About</a><a href=\"#\" class=\"template-arrow-menu\"></a>\n<ul class=\"sub-menu\">\n\t<li class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-54\"><a href=\"https://www.towerhealthurgentcare.org/about/insurances/\">Insurances & Billing</a></li>\n\t<li class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-55\"><a href=\"https://www.towerhealthurgentcare.org/about/faq/\">FAQ</a></li>\n</ul>\n</li>\n<li class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-has-children menu-item-56\"><a href=\"https://www.towerhealthurgentcare.org/services/\">Services</a><a href=\"#\" class=\"template-arrow-menu\"></a>\n<ul class=\"sub-menu\">\n\t<li class=\"menu-item menu-item-type-post_type menu-item-object-features menu-item-3942\"><a href=\"https://www.towerhealthurgentcare.org/features/urgent-care/\">Urgent Care</a></li>\n\t<li class=\"menu-item menu-item-type-post_type menu-item-object-features menu-item-3941\"><a href=\"https://www.towerhealthurgentcare.org/features/sports-injuries/\">Orthopedic and Sports Injuries</a></li>\n\t<li class=\"menu-item menu-item-type-post_type menu-item-object-features menu-item-3940\"><a href=\"https://www.towerhealthurgentcare.org/features/occupational-medicine/\">Occupational Health</a></li>\n\t<li class=\"menu-item menu-item-type-post_type menu-item-object-features menu-item-3939\"><a href=\"https://www.towerhealthurgentcare.org/features/teleburn/\">Teleburn</a></li>\n\t<li class=\"menu-item menu-item-type-post_type menu-item-object-features menu-item-3938\"><a href=\"https://www.towerhealthurgentcare.org/features/physicals/\">Physical Exams</a></li>\n</ul>\n</li>\n<li class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-4887\"><a href=\"https://www.towerhealthurgentcare.org/locations/\">Locations</a></li>\n<li class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-has-children menu-item-63\"><a href=\"https://www.towerhealthurgentcare.org/forms/\">Forms</a><a href=\"#\" class=\"template-arrow-menu\"></a>\n<ul class=\"sub-menu\">\n\t<li class=\"menu-item menu-item-type-custom menu-item-object-custom menu-item-408\"><a target=\"_blank\" href=\"/wp-content/uploads/2018/11/UC5609-Registration-Pack-11-20-18.pdf\">Patient Registration</a></li>\n\t<li class=\"menu-item menu-item-type-custom menu-item-object-custom menu-item-409\"><a target=\"_blank\" href=\"/wp-content/uploads/2018/11/UC5658-Employer-Auth.pdf\">Employer Authorization</a></li>\n\t<li class=\"menu-item menu-item-type-custom menu-item-object-custom menu-item-410\"><a target=\"_blank\" href=\"/wp-content/uploads/2018/11/UC5662-PHI-Release.pdf\">PHI Release Authorization</a></li>\n</ul>\n</li>\n<li class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-has-children menu-item-68\"><a href=\"https://www.towerhealthurgentcare.org/blog/\">Blog</a><a href=\"#\" class=\"template-arrow-menu\"></a>\n<ul class=\"sub-menu\">\n\t<li class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-288\"><a href=\"https://www.towerhealthurgentcare.org/blog/\">All Posts</a></li>\n\t<li class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-4081\"><a href=\"https://www.towerhealthurgentcare.org/blog/news/\">News</a></li>\n</ul>\n</li>\n<li class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-has-children menu-item-69\"><a href=\"https://www.towerhealthurgentcare.org/contact/\">Contact Us</a><a href=\"#\" class=\"template-arrow-menu\"></a>\n<ul class=\"sub-menu\">\n\t<li class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-71\"><a href=\"https://www.towerhealthurgentcare.org/contact/\">Contact Us</a></li>\n\t<li class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-142\"><a href=\"https://www.towerhealthurgentcare.org/contact/testimonials/\">Testimonials</a></li>\n</ul>\n</li>\n<li class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-70\"><a href=\"https://www.towerhealthurgentcare.org/careers/\">Careers</a></li>\n</ul></nav>\t\t\t\t\t\t\t</div>\n\t\t\t\t\t\t\t\t\t\t\t</div>\n\t\t\t</div>\n\t\t\t\t\t<!-- /Header --><div class=\"theme-page relative\">\n\t<div class=\"clearfix\">\n\t\t<div class=\"vc_row wpb_row vc_row-fluid full-width\"><div class=\"wpb_column vc_column_container vc_col-sm-12\"><div class=\"wpb_wrapper\"><div class=\"wpb_revslider_element wpb_content_element mc-navigation\"><link href=\"https://fonts.googleapis.com/css?family=Open+Sans:400\" rel=\"stylesheet\" property=\"stylesheet\" type=\"text/css\" media=\"all\">\n<div id=\"rev_slider_2_1_wrapper\" class=\"rev_slider_wrapper fullwidthbanner-container\" data-source=\"gallery\" style=\"margin:0px auto;background:transparent;padding:0px;margin-top:0px;margin-bottom:0px;\">\n<!-- START REVOLUTION SLIDER 5.4.7.3 auto mode -->\n\t<div id=\"rev_slider_2_1\" class=\"rev_slider fullwidthabanner tp-overflow-hidden\" style=\"display:none;\" data-version=\"5.4.7.3\">\n<ul>\t<!-- SLIDE -->\n\t<li data-index=\"rs-4\" data-transition=\"slidehorizontal\" data-slotamount=\"default\" data-hideafterloop=\"0\" data-hideslideonmobile=\"off\" data-easein=\"Power3.easeInOut\" data-easeout=\"default\" data-masterspeed=\"750\" data-rotate=\"0\" data-fstransition=\"fade\" data-fsmasterspeed=\"300\" data-fsslotamount=\"7\" data-saveperformance=\"off\" data-title=\"Slide\" data-param1=\"\" data-param2=\"\" data-param3=\"\" data-param4=\"\" data-param5=\"\" data-param6=\"\" data-param7=\"\" data-param8=\"\" data-param9=\"\" data-param10=\"\" data-description=\"\">\n\t\t<!-- MAIN IMAGE -->\n\t\t<img src=\"https://www.towerhealthurgentcare.org/wp-content/uploads/2018/06/256469-P4EP8Z-29-Custom-min.jpg\" alt=\"\" title=\"256469-P4EP8Z-29 (Custom)-min\" width=\"1004\" height=\"670\" data-bgposition=\"center top\" data-bgfit=\"cover\" data-bgrepeat=\"no-repeat\" class=\"rev-slidebg\" data-no-retina>\n\t\t<!-- LAYERS -->\n\n\t\t<!-- LAYER NR. 1 -->\n\t\t<div class=\"tp-caption \" \n\t\t\t id=\"slide-4-layer-1\" \n\t\t\t data-x=\"\" \n\t\t\t data-y=\"75\" \n\t\t\t\t\t\tdata-width=\"['auto']\"\n\t\t\tdata-height=\"['auto']\"\n \n\t\t\tdata-type=\"text\" \n\t\t\tdata-responsive_offset=\"off\" \n\t\t\tdata-responsive=\"off\"\n\t\t\tdata-frames='[{\"delay\":500,\"speed\":1200,\"frame\":\"0\",\"from\":\"y:-50px;opacity:0;\",\"to\":\"o:1;\",\"ease\":\"Power3.easeInOut\"},{\"delay\":\"wait\",\"speed\":300,\"frame\":\"999\",\"to\":\"opacity:0;\",\"ease\":\"Linear.easeNone\"}]'\n\t\t\tdata-textAlign=\"['inherit','inherit','inherit','inherit']\"\n\t\t\tdata-paddingtop=\"[0,0,0,0]\"\n\t\t\tdata-paddingright=\"[0,0,0,0]\"\n\t\t\tdata-paddingbottom=\"[0,0,0,0]\"\n\t\t\tdata-paddingleft=\"[0,0,0,0]\"\n\n\t\t\tstyle=\"z-index: 5; white-space: nowrap; font-size: 20px; line-height: 22px; font-weight: 400; color: rgba(255,255,255,1); letter-spacing: px;font-family:Open Sans;\"><h2><strong>Open 365 Days a Year, <br>with Care from<br>9 a.m. to 9.pm.</strong></h2> </div>\n\t</li>\n\t<!-- SLIDE -->\n\t<li data-index=\"rs-5\" data-transition=\"slidehorizontal\" data-slotamount=\"default\" data-hideafterloop=\"0\" data-hideslideonmobile=\"off\" data-easein=\"Power3.easeInOut\" data-easeout=\"default\" data-masterspeed=\"750\" data-rotate=\"0\" data-saveperformance=\"off\" data-title=\"Slide\" data-param1=\"\" data-param2=\"\" data-param3=\"\" data-param4=\"\" data-param5=\"\" data-param6=\"\" data-param7=\"\" data-param8=\"\" data-param9=\"\" data-param10=\"\" data-description=\"\">\n\t\t<!-- MAIN IMAGE -->\n\t\t<img src=\"https://www.towerhealthurgentcare.org/wp-content/uploads/2018/06/O6UZR60-Custom-min.jpg\" alt=\"\" title=\"O6UZR60 (Custom)-min\" width=\"1005\" height=\"670\" data-bgposition=\"center center\" data-bgfit=\"cover\" data-bgrepeat=\"no-repeat\" class=\"rev-slidebg\" data-no-retina>\n\t\t<!-- LAYERS -->\n\n\t\t<!-- LAYER NR. 2 -->\n\t\t<div class=\"tp-caption \" \n\t\t\t id=\"slide-5-layer-1\" \n\t\t\t data-x=\"\" \n\t\t\t data-y=\"75\" \n\t\t\t\t\t\tdata-width=\"['auto']\"\n\t\t\tdata-height=\"['auto']\"\n \n\t\t\tdata-type=\"text\" \n\t\t\tdata-responsive_offset=\"off\" \n\t\t\tdata-responsive=\"off\"\n\t\t\tdata-frames='[{\"delay\":500,\"speed\":1200,\"frame\":\"0\",\"from\":\"y:-50px;opacity:0;\",\"to\":\"o:1;\",\"ease\":\"Power3.easeInOut\"},{\"delay\":\"wait\",\"speed\":300,\"frame\":\"999\",\"to\":\"opacity:0;\",\"ease\":\"Linear.easeNone\"}]'\n\t\t\tdata-textAlign=\"['inherit','inherit','inherit','inherit']\"\n\t\t\tdata-paddingtop=\"[0,0,0,0]\"\n\t\t\tdata-paddingright=\"[0,0,0,0]\"\n\t\t\tdata-paddingbottom=\"[0,0,0,0]\"\n\t\t\tdata-paddingleft=\"[0,0,0,0]\"\n\n\t\t\tstyle=\"z-index: 5; white-space: nowrap; font-size: 20px; line-height: 22px; font-weight: 400; color: rgba(255,255,255,1); letter-spacing: px;font-family:Open Sans;\"><h2><strong>Quality Care</strong> <br/>\n<strong>Without the Wait</strong></h2> </div>\n\t</li>\n\t<!-- SLIDE -->\n\t<li data-index=\"rs-10\" data-transition=\"slidehorizontal\" data-slotamount=\"default\" data-hideafterloop=\"0\" data-hideslideonmobile=\"off\" data-easein=\"Power3.easeInOut\" data-easeout=\"default\" data-masterspeed=\"750\" data-rotate=\"0\" data-saveperformance=\"off\" data-title=\"Slide\" data-param1=\"\" data-param2=\"\" data-param3=\"\" data-param4=\"\" data-param5=\"\" data-param6=\"\" data-param7=\"\" data-param8=\"\" data-param9=\"\" data-param10=\"\" data-description=\"\">\n\t\t<!-- MAIN IMAGE -->\n\t\t<img src=\"https://www.towerhealthurgentcare.org/wp-content/uploads/2018/06/O69BRS0-Custom-min.jpg\" alt=\"\" title=\"O69BRS0 (Custom)-min\" width=\"1005\" height=\"670\" data-bgposition=\"center center\" data-bgfit=\"cover\" data-bgrepeat=\"no-repeat\" class=\"rev-slidebg\" data-no-retina>\n\t\t<!-- LAYERS -->\n\n\t\t<!-- LAYER NR. 3 -->\n\t\t<div class=\"tp-caption \" \n\t\t\t id=\"slide-10-layer-1\" \n\t\t\t data-x=\"\" \n\t\t\t data-y=\"75\" \n\t\t\t\t\t\tdata-width=\"['auto']\"\n\t\t\tdata-height=\"['auto']\"\n \n\t\t\tdata-type=\"text\" \n\t\t\tdata-responsive_offset=\"off\" \n\t\t\tdata-responsive=\"off\"\n\t\t\tdata-frames='[{\"delay\":500,\"speed\":1200,\"frame\":\"0\",\"from\":\"y:-50px;opacity:0;\",\"to\":\"o:1;\",\"ease\":\"Power3.easeInOut\"},{\"delay\":\"wait\",\"speed\":300,\"frame\":\"999\",\"to\":\"opacity:0;\",\"ease\":\"Linear.easeNone\"}]'\n\t\t\tdata-textAlign=\"['inherit','inherit','inherit','inherit']\"\n\t\t\tdata-paddingtop=\"[0,0,0,0]\"\n\t\t\tdata-paddingright=\"[0,0,0,0]\"\n\t\t\tdata-paddingbottom=\"[0,0,0,0]\"\n\t\t\tdata-paddingleft=\"[0,0,0,0]\"\n\n\t\t\tstyle=\"z-index: 5; white-space: nowrap; font-size: 20px; line-height: 22px; font-weight: 400; color: rgba(255,255,255,1); letter-spacing: px;font-family:Open Sans;\"><h2><strong>Walk-In Care <br>for Colds & Flu</strong></h2> </div>\n\t</li>\n</ul>\n<div class=\"tp-bannertimer tp-bottom\" style=\"visibility: hidden !important;\"></div>\t</div>\n<script>var htmlDiv = document.getElementById(\"rs-plugin-settings-inline-css\"); var htmlDivCss=\"\";\n\t\t\t\tif(htmlDiv) 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wpb_content_element clearfix home-box-container-list for-home-slider\">\n\t\t<div class=\"wpb_wrapper\">\n\t\t\t\n\t\t\t<ul><li class=\"home-box-container clearfix\">\n\t\t\t<div class=\"home-box\">\n\t\t\t\t<h2>About</h2>\t\t\t\t<div class=\"news clearfix\">\n\t\t\t\t\t\t\t\t\t\t<div class=\"text\">\t\n\t\t\t\t\tPremier Urgent Care is now Tower Health Urgent Care. Walk in to any of our 19 urgent care locations to get the expertise you need for any minor emergency from orthopedic injuries to cold and flu or other common illnesses.\t\t\t\t\t</div>\n\t\t\t\t\t\t\t\t\t\t<a title=\"READ MORE\" href=\"https://towerhealthurgentcare.org/about/\" class=\"mc-button more template-arrow-horizontal-1-after light\">READ MORE</a>\t\t\t\t</div>\n\t\t\t</div>\n\t\t</li>\n\t\t\t\t<li class=\"home-box-container clearfix animated-element animation-slideRight duration-800 delay-250\">\n\t\t\t<div class=\"home-box\">\n\t\t\t\t<h2>Locations</h2>\t\t\t\t<div class=\"news clearfix\">\n\t\t\t\t\t\t\t\t\t\t<div class=\"text\">\t\n\t\t\t\t\tAll Tower Health facilities are community-focused. Tower Health’s goal is to serve residents and businesses within a 10-mile radius of all locations. Find your nearest location.\t\t\t\t\t</div>\n\t\t\t\t\t\t\t\t\t\t<a title=\"Click Here\" href=\"/locations/\" class=\"mc-button more template-arrow-horizontal-1-after light\">Click Here</a>\t\t\t\t</div>\n\t\t\t</div>\n\t\t</li>\n\t\t\t\t<li class=\"home-box-container clearfix animated-element animation-slideRight duration-800 delay-250\">\n\t\t\t<div class=\"home-box\">\n\t\t\t\t<h2>Forms</h2>\t\t\t\t<div class=\"news clearfix\">\n\t\t\t\t\t\t\t\t\t\t<div class=\"text\">\t\n\t\t\t\t\tTower Health Urgent Care makes registration easy for first time patients. If you have not visited one of our locations since January 1, 2014, you will be asked to fill out a new registration packet.\r\n\r\n\r\n\t\t\t\t\t</div>\n\t\t\t\t\t\t\t\t\t\t<a title=\"READ MORE\" href=\"https://towerhealthurgentcare.org/forms/\" class=\"mc-button more template-arrow-horizontal-1-after light\">READ MORE</a>\t\t\t\t</div>\n\t\t\t</div>\n\t\t</li></ul>\n\t\t</div>\n\t</div>\n</div></div></div><div class=\"vc_row wpb_row vc_row-fluid vc_custom_1527956204381\"><div class=\"wpb_column vc_column_container vc_col-sm-12\"><div class=\"wpb_wrapper\"><h2 style=\"text-align: left\" class=\"vc_custom_heading\" >It's never been easier to access a team of expert physicians you can count on to receive the care you need to get better and back to your everyday life. When your primary care doctor isn't available, or if you don't currently have one, just walk-in to any of Tower Health's 19 convenient urgent care locations.</h2></div></div></div><div class=\"vc_row wpb_row vc_row-fluid page-margin-top-section\"><div class=\"wpb_column vc_column_container vc_col-sm-6\"><div class=\"wpb_wrapper\"><ul class=\"clearfix mc-features mc-features-large mc-features-style-default\"><li class=\"item-content clearfix\">\n\t\t\t\t<a class=\"hexagon animated-element animation-scale\" href=\"https://www.towerhealthurgentcare.org/features/urgent-care/\" title=\"Urgent Care\"><span class=\"features-briefcase\"></span></a><div class=\"text\"><h2><a href=\"https://www.towerhealthurgentcare.org/features/urgent-care/\" title=\"Urgent Care\">Urgent Care</a></h2><p>We specialize in treating non-life threatening illnesses and injuries. You can rely on Tower Health Urgent Care for fast, convenient access to compassionate, skilled providers.</p>\n<div class=\"item-footer clearfix\"><a title=\"Read more\" href=\"https://www.towerhealthurgentcare.org/features/urgent-care/\" class=\"more template-arrow-horizontal-1-after\">Read more</a></div></div>\n\t\t\t</li><li class=\"item-content clearfix\">\n\t\t\t\t<a class=\"hexagon animated-element animation-scale\" href=\"https://www.towerhealthurgentcare.org/features/sports-injuries/\" title=\"Orthopedic and Sports Injuries\"><span class=\"features-fitness\"></span></a><div class=\"text\"><h2><a href=\"https://www.towerhealthurgentcare.org/features/sports-injuries/\" title=\"Orthopedic and Sports Injuries\">Orthopedic and Sports Injuries</a></h2><p>Whether you hurt yourself doing yard work or twisted your ankle playing basketball, walk-in to any of our locations from 9 a.m. to 9 p.m. for advanced treatment for minor orthopedic injuries.</p>\n<div class=\"item-footer clearfix\"><a title=\"Read more\" href=\"https://www.towerhealthurgentcare.org/features/sports-injuries/\" class=\"more template-arrow-horizontal-1-after\">Read more</a></div></div>\n\t\t\t</li><li class=\"item-content clearfix\">\n\t\t\t\t<a class=\"hexagon animated-element animation-scale\" href=\"https://www.towerhealthurgentcare.org/features/occupational-medicine/\" title=\"Occupational Health\"><span class=\"features-healthcare\"></span></a><div class=\"text\"><h2><a href=\"https://www.towerhealthurgentcare.org/features/occupational-medicine/\" title=\"Occupational Health\">Occupational Health</a></h2><p>As a preferred provider for many employers, we’re equipped to handle all your company’s occupational health needs including immunizations, screenings, DOT and CDL physicals, respirator clearances, and more.</p>\n<div class=\"item-footer clearfix\"><a title=\"Read more\" href=\"https://www.towerhealthurgentcare.org/features/occupational-medicine/\" class=\"more template-arrow-horizontal-1-after\">Read more</a></div></div>\n\t\t\t</li></ul></div></div><div class=\"wpb_column vc_column_container vc_col-sm-6\"><div class=\"wpb_wrapper\"><ul class=\"clearfix mc-features mc-features-large mc-features-style-default\"><li class=\"item-content clearfix\">\n\t\t\t\t<a class=\"hexagon animated-element animation-scale\" href=\"https://www.towerhealthurgentcare.org/features/physicals/\" title=\"Physical Exams\"><span class=\"features-heart-beat\"></span></a><div class=\"text\"><h2><a href=\"https://www.towerhealthurgentcare.org/features/physicals/\" title=\"Physical Exams\">Physical Exams</a></h2><p>We provide coordinated and comprehensive exams for school, camp, sports, and pre-employment, as well as professional driver exams from our licensed, certified medical examiners with the Department of Transportation (DOT).</p>\n<div class=\"item-footer clearfix\"><a title=\"Read more\" href=\"https://www.towerhealthurgentcare.org/features/physicals/\" class=\"more template-arrow-horizontal-1-after\">Read more</a></div></div>\n\t\t\t</li><li class=\"item-content clearfix\">\n\t\t\t\t<a class=\"hexagon animated-element animation-scale\" href=\"https://www.towerhealthurgentcare.org/features/teleburn/\" title=\"Teleburn\"><span class=\"features-burns\"></span></a><div class=\"text\"><h2><a href=\"https://www.towerhealthurgentcare.org/features/teleburn/\" title=\"Teleburn\">Teleburn</a></h2><p>Telemedicine has become widely accepted with the advances in remote medical technologies. Tower Health Urgent Care is on the forefront of patient care with our Teleburn network.</p>\n<div class=\"item-footer clearfix\"><a title=\"Read more\" href=\"https://www.towerhealthurgentcare.org/features/teleburn/\" class=\"more template-arrow-horizontal-1-after\">Read more</a></div></div>\n\t\t\t</li></ul></div></div></div><div class=\"vc_row wpb_row vc_row-fluid page-margin-top\"><div class=\"wpb_column vc_column_container vc_col-sm-8\"><div class=\"wpb_wrapper\"><h3 class=\"box-header animation-slide\">Latest News</h3><div class=\"columns clearfix layout-row\"><ul class=\"blog clearfix\"><li class=\"vc_col-sm-6 wpb_column vc_column_container post post-5554 type-post status-publish format-standard has-post-thumbnail hentry category-press\"><ul class=\"comment-box clearfix\"><li class=\"date\">\n\t\t\t\t\t\t\t\t<div class=\"value\">MAY 2, 2019</div>\n\t\t\t\t\t\t\t\t<div class=\"arrow-date\"></div>\n\t\t\t\t\t\t\t</li><li class=\"comments-number\">\t\t\t<a href=\"https://www.towerhealthurgentcare.org/hypertension-understanding-new-treatment-guidelines/#respond\" title=\"0 COMMENTS\">0</a>\n\t\t\t\t\t\t\t</li></ul><div class=\"post-content\"><a class=\"post-image\" href=\"https://www.towerhealthurgentcare.org/hypertension-understanding-new-treatment-guidelines/\" title=\"Hypertension | Understanding New Treatment Guidelines\"><span class=\"mc-preloader\"></span><img width=\"600\" height=\"400\" src=\"https://www.towerhealthurgentcare.org/wp-content/uploads/2019/05/BP-600x400.jpg\" class=\"attachment-medicenter-gallery-image size-medicenter-gallery-image wp-post-image\" alt=\"Hypertension | Understanding New Treatment Guidelines\" title=\"\" srcset=\"https://www.towerhealthurgentcare.org/wp-content/uploads/2019/05/BP-600x400.jpg 600w, https://www.towerhealthurgentcare.org/wp-content/uploads/2019/05/BP-400x267.jpg 400w, https://www.towerhealthurgentcare.org/wp-content/uploads/2019/05/BP-768x512.jpg 768w, https://www.towerhealthurgentcare.org/wp-content/uploads/2019/05/BP-670x446.jpg 670w, https://www.towerhealthurgentcare.org/wp-content/uploads/2019/05/BP-390x260.jpg 390w, https://www.towerhealthurgentcare.org/wp-content/uploads/2019/05/BP-285x190.jpg 285w\" sizes=\"(max-width: 600px) 100vw, 600px\" /></a><h2 class=\"post-title\"><a href=\"https://www.towerhealthurgentcare.org/hypertension-understanding-new-treatment-guidelines/\" title=\"Hypertension | Understanding New Treatment Guidelines\">Hypertension | Understanding New Treatment Guidelines</a></h2><p>Rosalind Kaplan, MD Hypertension (high blood pressure) is one of the most common medical problems in adult patients worldwide. In the U.S., hypertension affects about 50% of people 60-69 years old and…</p>\n<a title=\"Read more\" href=\"https://www.towerhealthurgentcare.org/hypertension-understanding-new-treatment-guidelines/\" class=\"more template-arrow-horizontal-1-after\">Read more</a>\t\t<div class=\"post-footer clearfix\">\n\t\t\t\t\t\t\t\t<ul class=\"post-footer-details\"><li class=\"post-footer-author\">\n\t\t\t\t\t\t\t\t\t\tTower Health Admin\n\t\t\t\t\t\t\t\t\t</li><li class=\"post-footer-category\">\n\t\t\t\t\t\t\t\t\t\t\t<a href=\"https://www.towerhealthurgentcare.org/category/press/\" title=\"View all posts filed under Press\">Press</a>\n\t\t\t\t\t\t\t\t\t\t</li></ul></div></div></li><li class=\"vc_col-sm-6 wpb_column vc_column_container post post-5496 type-post status-publish format-standard has-post-thumbnail hentry category-press\"><ul class=\"comment-box clearfix\"><li class=\"date\">\n\t\t\t\t\t\t\t\t<div class=\"value\">APRIL 11, 2019</div>\n\t\t\t\t\t\t\t\t<div class=\"arrow-date\"></div>\n\t\t\t\t\t\t\t</li><li class=\"comments-number\">\t\t\t<a href=\"https://www.towerhealthurgentcare.org/spring-rashes-beware/#respond\" title=\"0 COMMENTS\">0</a>\n\t\t\t\t\t\t\t</li></ul><div class=\"post-content\"><a class=\"post-image\" href=\"https://www.towerhealthurgentcare.org/spring-rashes-beware/\" title=\"Spring Rashes: Beware!\"><span class=\"mc-preloader\"></span><img width=\"600\" height=\"400\" src=\"https://www.towerhealthurgentcare.org/wp-content/uploads/2019/04/Gardening-600x400.jpg\" class=\"attachment-medicenter-gallery-image size-medicenter-gallery-image wp-post-image\" alt=\"Spring Rashes: Beware!\" title=\"\" srcset=\"https://www.towerhealthurgentcare.org/wp-content/uploads/2019/04/Gardening-600x400.jpg 600w, https://www.towerhealthurgentcare.org/wp-content/uploads/2019/04/Gardening-400x267.jpg 400w, https://www.towerhealthurgentcare.org/wp-content/uploads/2019/04/Gardening-768x512.jpg 768w, https://www.towerhealthurgentcare.org/wp-content/uploads/2019/04/Gardening-670x446.jpg 670w, https://www.towerhealthurgentcare.org/wp-content/uploads/2019/04/Gardening-390x260.jpg 390w, https://www.towerhealthurgentcare.org/wp-content/uploads/2019/04/Gardening-285x190.jpg 285w\" sizes=\"(max-width: 600px) 100vw, 600px\" /></a><h2 class=\"post-title\"><a href=\"https://www.towerhealthurgentcare.org/spring-rashes-beware/\" title=\"Spring Rashes: Beware!\">Spring Rashes: Beware!</a></h2><p>Hazel Bluestein, MD, CMO Contact Dermatitis is a common skin rash or allergic reaction caused by an individual’s exposure to certain substances. This type of rash occurs more frequently in the spring…</p>\n<a title=\"Read more\" href=\"https://www.towerhealthurgentcare.org/spring-rashes-beware/\" class=\"more template-arrow-horizontal-1-after\">Read more</a>\t\t<div class=\"post-footer clearfix\">\n\t\t\t\t\t\t\t\t<ul class=\"post-footer-details\"><li class=\"post-footer-author\">\n\t\t\t\t\t\t\t\t\t\tTower Health Admin\n\t\t\t\t\t\t\t\t\t</li><li class=\"post-footer-category\">\n\t\t\t\t\t\t\t\t\t\t\t<a href=\"https://www.towerhealthurgentcare.org/category/press/\" title=\"View all posts filed under Press\">Press</a>\n\t\t\t\t\t\t\t\t\t\t</li></ul></div></div></li></ul><ul class=\"blog clearfix\"><li class=\"vc_col-sm-6 wpb_column vc_column_container post post-5415 type-post status-publish format-standard has-post-thumbnail hentry category-press\"><ul class=\"comment-box clearfix\"><li class=\"date\">\n\t\t\t\t\t\t\t\t<div class=\"value\">MARCH 8, 2019</div>\n\t\t\t\t\t\t\t\t<div class=\"arrow-date\"></div>\n\t\t\t\t\t\t\t</li><li class=\"comments-number\">\t\t\t<a href=\"https://www.towerhealthurgentcare.org/antibiotic-use-in-upper-respiratory-infections/#respond\" title=\"0 COMMENTS\">0</a>\n\t\t\t\t\t\t\t</li></ul><div class=\"post-content\"><a class=\"post-image\" href=\"https://www.towerhealthurgentcare.org/antibiotic-use-in-upper-respiratory-infections/\" title=\"Antibiotic Use in Upper Respiratory Infections\"><span class=\"mc-preloader\"></span><img width=\"600\" height=\"400\" src=\"https://www.towerhealthurgentcare.org/wp-content/uploads/2019/03/Depositphotos_28234817_l-2015-1-600x400.jpg\" class=\"attachment-medicenter-gallery-image size-medicenter-gallery-image wp-post-image\" alt=\"Antibiotic Use in Upper Respiratory Infections\" title=\"\" srcset=\"https://www.towerhealthurgentcare.org/wp-content/uploads/2019/03/Depositphotos_28234817_l-2015-1-600x400.jpg 600w, https://www.towerhealthurgentcare.org/wp-content/uploads/2019/03/Depositphotos_28234817_l-2015-1-400x267.jpg 400w, https://www.towerhealthurgentcare.org/wp-content/uploads/2019/03/Depositphotos_28234817_l-2015-1-768x512.jpg 768w, https://www.towerhealthurgentcare.org/wp-content/uploads/2019/03/Depositphotos_28234817_l-2015-1-670x446.jpg 670w, https://www.towerhealthurgentcare.org/wp-content/uploads/2019/03/Depositphotos_28234817_l-2015-1-390x260.jpg 390w, https://www.towerhealthurgentcare.org/wp-content/uploads/2019/03/Depositphotos_28234817_l-2015-1-285x190.jpg 285w\" sizes=\"(max-width: 600px) 100vw, 600px\" /></a><h2 class=\"post-title\"><a href=\"https://www.towerhealthurgentcare.org/antibiotic-use-in-upper-respiratory-infections/\" title=\"Antibiotic Use in Upper Respiratory Infections\">Antibiotic Use in Upper Respiratory Infections</a></h2><p>Rosalind Kaplan, MD, FACP Health care providers in the United States are working to correct a long-standing problem in caring for patients with respiratory infections, including ear infections, sinus…</p>\n<a title=\"Read more\" href=\"https://www.towerhealthurgentcare.org/antibiotic-use-in-upper-respiratory-infections/\" class=\"more template-arrow-horizontal-1-after\">Read more</a>\t\t<div class=\"post-footer clearfix\">\n\t\t\t\t\t\t\t\t<ul class=\"post-footer-details\"><li class=\"post-footer-author\">\n\t\t\t\t\t\t\t\t\t\tTower Health Admin\n\t\t\t\t\t\t\t\t\t</li><li class=\"post-footer-category\">\n\t\t\t\t\t\t\t\t\t\t\t<a href=\"https://www.towerhealthurgentcare.org/category/press/\" title=\"View all posts filed under Press\">Press</a>\n\t\t\t\t\t\t\t\t\t\t</li></ul></div></div></li><li class=\"vc_col-sm-6 wpb_column vc_column_container post post-5332 type-post status-publish format-standard has-post-thumbnail hentry category-blog\"><ul class=\"comment-box clearfix\"><li class=\"date\">\n\t\t\t\t\t\t\t\t<div class=\"value\">FEBRUARY 20, 2019</div>\n\t\t\t\t\t\t\t\t<div class=\"arrow-date\"></div>\n\t\t\t\t\t\t\t</li><li class=\"comments-number\">\t\t\t<a href=\"https://www.towerhealthurgentcare.org/avoiding-winter-related-back-pain-and-injury/#respond\" title=\"0 COMMENTS\">0</a>\n\t\t\t\t\t\t\t</li></ul><div class=\"post-content\"><a class=\"post-image\" href=\"https://www.towerhealthurgentcare.org/avoiding-winter-related-back-pain-and-injury/\" title=\"Avoiding Winter-Related Back Pain and Injury\"><span class=\"mc-preloader\"></span><img width=\"600\" height=\"400\" src=\"https://www.towerhealthurgentcare.org/wp-content/uploads/2019/02/Winter-Injury-1-600x400.jpg\" class=\"attachment-medicenter-gallery-image size-medicenter-gallery-image wp-post-image\" alt=\"Avoiding Winter-Related Back Pain and Injury\" title=\"\" srcset=\"https://www.towerhealthurgentcare.org/wp-content/uploads/2019/02/Winter-Injury-1-600x400.jpg 600w, https://www.towerhealthurgentcare.org/wp-content/uploads/2019/02/Winter-Injury-1-400x267.jpg 400w, https://www.towerhealthurgentcare.org/wp-content/uploads/2019/02/Winter-Injury-1-768x512.jpg 768w, https://www.towerhealthurgentcare.org/wp-content/uploads/2019/02/Winter-Injury-1-670x446.jpg 670w, https://www.towerhealthurgentcare.org/wp-content/uploads/2019/02/Winter-Injury-1-390x260.jpg 390w, https://www.towerhealthurgentcare.org/wp-content/uploads/2019/02/Winter-Injury-1-285x190.jpg 285w\" sizes=\"(max-width: 600px) 100vw, 600px\" /></a><h2 class=\"post-title\"><a href=\"https://www.towerhealthurgentcare.org/avoiding-winter-related-back-pain-and-injury/\" title=\"Avoiding Winter-Related Back Pain and Injury\">Avoiding Winter-Related Back Pain and Injury</a></h2><p>Nicole Amell, LPN, Clinical Lead The tri-state area can be unpredictable when it comes to winter weather. Along with the risk of icy roads and walkways, common winter injuries seen at Tower Health Urgent…</p>\n<a title=\"Read more\" href=\"https://www.towerhealthurgentcare.org/avoiding-winter-related-back-pain-and-injury/\" class=\"more template-arrow-horizontal-1-after\">Read more</a>\t\t<div class=\"post-footer clearfix\">\n\t\t\t\t\t\t\t\t<ul class=\"post-footer-details\"><li class=\"post-footer-author\">\n\t\t\t\t\t\t\t\t\t\tTower Health Admin\n\t\t\t\t\t\t\t\t\t</li><li class=\"post-footer-category\">\n\t\t\t\t\t\t\t\t\t\t\t<a href=\"https://www.towerhealthurgentcare.org/category/blog/\" title=\"View all posts filed under Blog\">Blog</a>\n\t\t\t\t\t\t\t\t\t\t</li></ul></div></div></li></ul></div><div class=\"show-all clearfix\"><a class=\"template-arrow-horizontal-1-after\" href=\"https://towerhealthurgentcare.org/blog/\" title=\"View older\">View older</a></div></div></div><div class=\"wpb_column vc_column_container vc_col-sm-4\"><div class=\"wpb_wrapper\">\n\t<div class=\"wpb_widgetised_column wpb_content_element clearfix\">\n\t\t<div class=\"wpb_wrapper\">\n\t\t\t\n\t\t\t<div id='text-5' class='widget widget_text sidebar-box'>\t\t\t<div class=\"textwidget\"><h3 class=\"sentence animated-element animation-slideLeft50\">I am forever grateful for the medical care I received when I thought I had a simple cough. My ENT specialist told me that, if it hadn't been for the early diagnosis of thyroid cancer which you found, it might have spread throughout my entire body.</h3><div class=\"clearfix\"><span class=\"sentence-author animated-element animation-slideLeft50 delay-600\">— Carolyn S</span></div>\n<h3 class=\"sentence animated-element animation-slideLeft50\">This is the most caring medical staff I have ever met. Not only was everyone so patient with my grandmother, but they even called a few days later to check on her!</h3><div class=\"clearfix\"><span class=\"sentence-author animated-element animation-slideLeft50 delay-600\">— Brian G.</span></div>\n<h3 class=\"sentence animated-element animation-slideLeft50\">This was the most delightful medical experience I have ever had. The center was clean, and the staff was super-courteous! I will recommend to all my friends!</h3><div class=\"clearfix\"><span class=\"sentence-author animated-element animation-slideLeft50 delay-600\">— Jonathan R.</span></div>\n<h3 class=\"sentence animated-element animation-slideLeft50\">Thank you for being there when I needed you most — I had just lost my insurance and was so grateful that you were remarkably cheaper than being seen in the ER. Plus, I didn’t have to wait!</h3><div class=\"clearfix\"><span class=\"sentence-author animated-element animation-slideLeft50 delay-600\">— George C.</span></div>\n</div>\n\t\t</div>\n\t\t</div>\n\t</div>\n</div></div></div><div class=\"vc_row wpb_row vc_row-fluid page-margin-top\"><div class=\"wpb_column vc_column_container vc_col-sm-12\"><div class=\"wpb_wrapper\"><div class=\"announcement clearfix vertical-align-table\">\n\t\t\t\t\t<ul class=\"vertical-align\">\n\t\t\t\t\t\t<li class=\"vertical-align-cell\"><h1>Just Come In </h1><p>Each of our facilities is open 365 days a year, and offers patients access to advanced, comprehensive care from 9 a.m. to 9 p.m.</p>\n </li><li class=\"vertical-align-cell\">\n\t\t\t\t\t\t<a title=\"FIND NEAREST LOCATION\" href=\"http://premierimc.com/locations/\" class=\"more mc-button dark-color medium animated-element animation-slideLeft\">FIND NEAREST LOCATION</a>\n\t\t\t\t\t</li></ul>\n\t\t\t</div></div></div></div>\n \t</div>\n</div>\n\t\t\t\t\t\t<div class=\"footer-container\">\n\t\t\t\t<div class=\"footer\">\n\t\t\t\t\t<ul class=\"footer-banner-box-container clearfix\">\n\t\t\t\t\t\t\t\t<li class=\"footer-banner-box features-map\">\n\t\t\t<h2>Find a clinic near you</h2>\t\t\t\t\t\t<p class=\"content-margin\">\t\n\t\t\t<a href=\"/locations/\">Find Us On Map</a>\t\t\t</p>\n\t\t</li>\n\t\t\t\t<li class=\"footer-banner-box features-phone animated-element animation-slideRight duration-800 delay-250\">\n\t\t\t<h2>Call with any questions!</h2>\t\t\t\t\t\t<p class=\"content-margin\">\t\n\t\t\t<a href='tel:(484)7788008'>484-778-8008</a>\t\t\t</p>\n\t\t</li>\n\t\t\t\t<li class=\"footer-banner-box features-email animated-element animation-slideRight200 duration-800 delay-500\">\n\t\t\t<h2>Feel free to message us!</h2>\t\t\t\t\t\t<p class=\"content-margin\">\t\n\t\t\t<a href='mailto:marketing@towerhealthurgentcare.org'>Send an Email</a>\t\t\t</p>\n\t\t</li>\n\t\t\t\t\t\t\t</ul>\n\t\t\t\t\t<div class=\"footer-box-container vc_row wpb_row vc_row-fluid clearfix\">\n\t\t\t\t\t\t<div id='medicenter_contact_details-4' class='widget contact_details_widget vc_col-sm-3 wpb_column vc_column_container'><h3 class='box-header'>About</h3><p class=\"info\">Premier Urgent Care is now Tower Health Urgent Care. Walk in to any of our 19 urgent care locations to get the expertise you need for any minor emergency from orthopedic injuries to cold and flu or other common illnesses.</p>\t\t<ul class=\"contact-data\">\n\t\t\t\t\t\t<li class=\"clearfix template-phone\"><div class=\"value\"><a href=\"tel:610-561-6311\">610-561-6311</a><br><a href=\"tel:484-778-8008\">484-778-8008</a></div></li>\n\t\t\t\t\t</ul>\n\t\t</div><div id='nav_menu-2' class='widget widget_nav_menu vc_col-sm-3 wpb_column vc_column_container'><h3 class='box-header'>Additional Links</h3><div class=\"menu-footer-container\"><ul id=\"menu-footer\" class=\"menu\"><li id=\"menu-item-4054\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-4054\"><a href=\"https://www.towerhealthurgentcare.org/about/\">About</a></li>\n<li id=\"menu-item-4055\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-4055\"><a href=\"https://www.towerhealthurgentcare.org/services/\">Services</a></li>\n<li id=\"menu-item-4971\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-4971\"><a title=\"Tower Health Urgent Care Locations\" href=\"https://www.towerhealthurgentcare.org/locations/\">Locations</a></li>\n<li id=\"menu-item-4057\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-4057\"><a href=\"https://www.towerhealthurgentcare.org/forms/\">Forms</a></li>\n<li id=\"menu-item-4058\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-4058\"><a href=\"https://www.towerhealthurgentcare.org/contact/\">Contact Us</a></li>\n</ul></div></div><div id='medicenter_scrolling_recent_posts-2' class='widget scrolling_recent_posts_widget vc_col-sm-3 wpb_column vc_column_container'>\t\t<div class=\"clearfix scrolling-controls\">\n\t\t\t<div class=\"header-left\">\n\t\t\t\t<h3 class='box-header animation-slide'>Latest Posts</h3>\t\t\t</div>\n\t\t\t<div class=\"header-right\">\n\t\t\t\t<a href=\"#\" id=\"footer_recent_posts_prev\" class=\"scrolling-list-control-left template-arrow-horizontal-3\"></a>\n\t\t\t\t<a href=\"#\" id=\"footer_recent_posts_next\" class=\"scrolling-list-control-right template-arrow-horizontal-3\"></a>\n\t\t\t</div>\n\t\t</div>\n\t\t<div class=\"scrolling-list-wrapper\">\n\t\t\t<ul class=\"scrolling-list footer-recent-posts\">\n\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.towerhealthurgentcare.org/hypertension-understanding-new-treatment-guidelines/\" title=\"Hypertension | Understanding New Treatment Guidelines\">\n\t\t\t\t\t\tHypertension | Understanding New Treatment Guidelines\t\t\t\t\t</a>\n\t\t\t\t\t<abbr title=\"May 2, 2019\" class=\"timeago\">May 2, 2019</abbr>\n\t\t\t\t</li>\n\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.towerhealthurgentcare.org/spring-rashes-beware/\" title=\"Spring Rashes: Beware!\">\n\t\t\t\t\t\tSpring Rashes: Beware!\t\t\t\t\t</a>\n\t\t\t\t\t<abbr title=\"April 11, 2019\" class=\"timeago\">April 11, 2019</abbr>\n\t\t\t\t</li>\n\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.towerhealthurgentcare.org/antibiotic-use-in-upper-respiratory-infections/\" title=\"Antibiotic Use in Upper Respiratory Infections\">\n\t\t\t\t\t\tAntibiotic Use in Upper Respiratory Infections\t\t\t\t\t</a>\n\t\t\t\t\t<abbr title=\"March 8, 2019\" class=\"timeago\">March 8, 2019</abbr>\n\t\t\t\t</li>\n\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.towerhealthurgentcare.org/avoiding-winter-related-back-pain-and-injury/\" title=\"Avoiding Winter-Related Back Pain and Injury\">\n\t\t\t\t\t\tAvoiding Winter-Related Back Pain and Injury\t\t\t\t\t</a>\n\t\t\t\t\t<abbr title=\"February 20, 2019\" class=\"timeago\">February 20, 2019</abbr>\n\t\t\t\t</li>\n\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.towerhealthurgentcare.org/november-is-national-diabetes-awareness-month/\" title=\"November is National Diabetes Awareness Month\">\n\t\t\t\t\t\tNovember is National Diabetes Awareness Month\t\t\t\t\t</a>\n\t\t\t\t\t<abbr title=\"November 1, 2018\" class=\"timeago\">November 1, 2018</abbr>\n\t\t\t\t</li>\n\t\t\t\t\t\t\t</ul>\n\t\t</div>\n\t\t</div><div id='text-6' class='widget widget_text vc_col-sm-3 wpb_column vc_column_container'>\t\t\t<div class=\"textwidget\"><p><a href=\"/wp-content/uploads/2018/06/title652332563.png\"><img class=\"alignnone size-full wp-image-3932\" src=\"/wp-content/uploads/2018/06/title652332563.png\" alt=\"\" width=\"350\" height=\"350\" /></a></p>\n</div>\n\t\t</div> \t</div>\n\n\t\t\t\t</div>\n\t\t\t</div>\n\t\t\t<div class=\"copyright-area-container\">\n\t\t\t\t\t\t\t<div class=\"copyright-area clearfix\">\n\t\t\t\t\t\t\t\t\t\t<div class=\"copyright-text\">\n\t\t\t\t\t© 2019 Tower Health Urgent Care. All rights reserved.\t\t\t\t\t</div>\n\t\t\t\t\t<div class=\"menu-footer-menu-container\"><ul id=\"menu-footer-menu\" class=\"footer-menu\"><li id=\"menu-item-3933\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-3933\"><a href=\"https://www.towerhealthurgentcare.org/website-statement-of-privacy/\">Statement of Privacy</a></li>\n</ul></div>\t\t\t\t</div>\n\t\t\t\t\t\t\t</div>\n\t\t</div>\n\t\t\t\t<a href=\"#top\" class=\"scroll-top animated-element template-arrow-vertical-3\" title=\"Scroll to top\"></a>\n\t\t\t\t\t<script type=\"text/javascript\">\n\t\t\t\tfunction revslider_showDoubleJqueryError(sliderID) {\n\t\t\t\t\tvar errorMessage = \"Revolution Slider Error: You have some jquery.js library include that comes after the revolution files js include.\";\n\t\t\t\t\terrorMessage += \"<br> This includes make eliminates the revolution slider libraries, and make it not work.\";\n\t\t\t\t\terrorMessage += \"<br><br> To fix it you can:<br> 1. 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blank fa\"></i><span>Infinity Pools</span><span class=\"plus\"></span></a></li>\n\t<li id=\"nav-menu-item-8707\" class=\"menu-item menu-item-type-post_type menu-item-object-page \"><a href=\"http://american-pools.com/orlando-pool-galleries/pools-with-rock-formations/\" class=\"\"><i class=\"menu_icon blank fa\"></i><span>Pools With Rock Formations</span><span class=\"plus\"></span></a></li>\n\t<li id=\"nav-menu-item-8705\" class=\"menu-item menu-item-type-post_type menu-item-object-page \"><a href=\"http://american-pools.com/orlando-pool-galleries/swimming-pools-water-features/\" class=\"\"><i class=\"menu_icon blank fa\"></i><span>Water Features</span><span class=\"plus\"></span></a></li>\n\t<li id=\"nav-menu-item-8709\" class=\"menu-item menu-item-type-post_type menu-item-object-page \"><a href=\"http://american-pools.com/orlando-pool-galleries/commercial-pools/\" class=\"\"><i class=\"menu_icon blank fa\"></i><span>Commercial Pools</span><span class=\"plus\"></span></a></li>\n</ul></div></div>\n</li>\n<li id=\"nav-menu-item-8455\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-has-children has_sub narrow\"><a href=\"http://american-pools.com/orlando-pool-products-features/\" class=\"\"><i class=\"menu_icon fa-caret-down fa\"></i><span>Products & Features</span><span class=\"plus\"></span></a>\n<div class=\"second\"><div class=\"inner\"><ul>\n\t<li id=\"nav-menu-item-8538\" class=\"menu-item menu-item-type-post_type menu-item-object-page \"><a href=\"http://american-pools.com/orlando-pool-products-features/pools-spas/\" class=\"\"><i class=\"menu_icon blank fa\"></i><span>Pools & Spas</span><span class=\"plus\"></span></a></li>\n\t<li id=\"nav-menu-item-8467\" class=\"menu-item menu-item-type-post_type menu-item-object-page \"><a href=\"http://american-pools.com/orlando-pool-products-features/pool-deck-pavers/\" class=\"\"><i class=\"menu_icon blank fa\"></i><span>Pool Deck Pavers</span><span class=\"plus\"></span></a></li>\n\t<li id=\"nav-menu-item-8470\" class=\"menu-item menu-item-type-post_type menu-item-object-page \"><a href=\"http://american-pools.com/orlando-pool-products-features/screen-enclosures/\" class=\"\"><i class=\"menu_icon blank fa\"></i><span>Screen Enclosures | Fences & Railings</span><span class=\"plus\"></span></a></li>\n\t<li id=\"nav-menu-item-8473\" class=\"menu-item menu-item-type-post_type menu-item-object-page \"><a href=\"http://american-pools.com/orlando-pool-products-features/outdoor-kitchens/\" class=\"\"><i class=\"menu_icon blank fa\"></i><span>Outdoor Kitchens</span><span class=\"plus\"></span></a></li>\n\t<li id=\"nav-menu-item-8476\" class=\"menu-item menu-item-type-post_type menu-item-object-page \"><a href=\"http://american-pools.com/orlando-pool-products-features/pentair-pool-automation/\" class=\"\"><i class=\"menu_icon blank fa\"></i><span>Pentair Pool Automation</span><span class=\"plus\"></span></a></li>\n\t<li 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href=\"http://american-pools.com/\" class=\" current \"><span>Home</span></a><span class=\"mobile_arrow\"><i class=\"fa fa-angle-right\"></i><i class=\"fa fa-angle-down\"></i></span></li>\n<li id=\"mobile-menu-item-8371\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-has-children has_sub\"><a href=\"http://american-pools.com/pool-builder-orlando/\" class=\"\"><span>About Us</span></a><span class=\"mobile_arrow\"><i class=\"fa fa-angle-right\"></i><i class=\"fa fa-angle-down\"></i></span>\n<ul class=\"sub_menu\">\n\t<li id=\"mobile-menu-item-8464\" class=\"menu-item menu-item-type-post_type menu-item-object-page \"><a href=\"http://american-pools.com/pool-builder-orlando/area-served-central-florida/\" class=\"\"><span>Area Served</span></a><span class=\"mobile_arrow\"><i class=\"fa fa-angle-right\"></i><i class=\"fa fa-angle-down\"></i></span></li>\n\t<li id=\"mobile-menu-item-8381\" class=\"menu-item menu-item-type-post_type menu-item-object-page \"><a 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menu-item-object-page \"><a href=\"http://american-pools.com/pool-builder-orlando/community-involvement/\" class=\"\"><span>Community Involvement</span></a><span class=\"mobile_arrow\"><i class=\"fa fa-angle-right\"></i><i class=\"fa fa-angle-down\"></i></span></li>\n\t<li id=\"mobile-menu-item-8437\" class=\"menu-item menu-item-type-post_type menu-item-object-page \"><a href=\"http://american-pools.com/pool-builder-orlando/pool-builder-reviews/\" class=\"\"><span>Client Testimonials</span></a><span class=\"mobile_arrow\"><i class=\"fa fa-angle-right\"></i><i class=\"fa fa-angle-down\"></i></span></li>\n\t<li id=\"mobile-menu-item-8441\" class=\"menu-item menu-item-type-post_type menu-item-object-page \"><a href=\"http://american-pools.com/pool-builder-orlando/3d-swimming-pool-designs/\" class=\"\"><span>3D Swimming Pool Designs</span></a><span class=\"mobile_arrow\"><i class=\"fa fa-angle-right\"></i><i class=\"fa fa-angle-down\"></i></span></li>\n\t<li id=\"mobile-menu-item-8444\" class=\"menu-item menu-item-type-post_type menu-item-object-page \"><a href=\"http://american-pools.com/pool-builder-orlando/swimming-pool-financing/\" class=\"\"><span>Swimming Pool Financing Options</span></a><span class=\"mobile_arrow\"><i class=\"fa fa-angle-right\"></i><i class=\"fa fa-angle-down\"></i></span></li>\n\t<li id=\"mobile-menu-item-8447\" class=\"menu-item menu-item-type-post_type menu-item-object-page \"><a href=\"http://american-pools.com/pool-builder-orlando/pool-buying-guide/\" class=\"\"><span>Pool Buying Guide</span></a><span class=\"mobile_arrow\"><i class=\"fa fa-angle-right\"></i><i class=\"fa fa-angle-down\"></i></span></li>\n</ul>\n</li>\n<li id=\"mobile-menu-item-9166\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-has-children has_sub\"><a href=\"http://american-pools.com/orlando-pool-galleries/\" class=\"\"><span>Galleries</span></a><span class=\"mobile_arrow\"><i class=\"fa fa-angle-right\"></i><i class=\"fa fa-angle-down\"></i></span>\n<ul class=\"sub_menu\">\n\t<li id=\"mobile-menu-item-8710\" class=\"menu-item menu-item-type-post_type menu-item-object-page \"><a href=\"http://american-pools.com/orlando-pool-galleries/swimming-pools-spas/\" class=\"\"><span>Swimming Pools & Spas</span></a><span class=\"mobile_arrow\"><i class=\"fa fa-angle-right\"></i><i class=\"fa fa-angle-down\"></i></span></li>\n\t<li id=\"mobile-menu-item-8706\" class=\"menu-item menu-item-type-post_type menu-item-object-page \"><a href=\"http://american-pools.com/orlando-pool-galleries/spools/\" class=\"\"><span>Spools</span></a><span class=\"mobile_arrow\"><i class=\"fa fa-angle-right\"></i><i class=\"fa fa-angle-down\"></i></span></li>\n\t<li id=\"mobile-menu-item-8708\" class=\"menu-item menu-item-type-post_type menu-item-object-page \"><a href=\"http://american-pools.com/orlando-pool-galleries/infinity-pools/\" class=\"\"><span>Infinity Pools</span></a><span class=\"mobile_arrow\"><i class=\"fa fa-angle-right\"></i><i class=\"fa fa-angle-down\"></i></span></li>\n\t<li id=\"mobile-menu-item-8707\" class=\"menu-item menu-item-type-post_type menu-item-object-page \"><a href=\"http://american-pools.com/orlando-pool-galleries/pools-with-rock-formations/\" class=\"\"><span>Pools With Rock Formations</span></a><span class=\"mobile_arrow\"><i class=\"fa fa-angle-right\"></i><i class=\"fa fa-angle-down\"></i></span></li>\n\t<li id=\"mobile-menu-item-8705\" class=\"menu-item menu-item-type-post_type menu-item-object-page \"><a href=\"http://american-pools.com/orlando-pool-galleries/swimming-pools-water-features/\" class=\"\"><span>Water Features</span></a><span class=\"mobile_arrow\"><i class=\"fa fa-angle-right\"></i><i class=\"fa fa-angle-down\"></i></span></li>\n\t<li id=\"mobile-menu-item-8709\" class=\"menu-item menu-item-type-post_type menu-item-object-page \"><a href=\"http://american-pools.com/orlando-pool-galleries/commercial-pools/\" class=\"\"><span>Commercial Pools</span></a><span class=\"mobile_arrow\"><i class=\"fa fa-angle-right\"></i><i class=\"fa fa-angle-down\"></i></span></li>\n</ul>\n</li>\n<li id=\"mobile-menu-item-8455\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-has-children has_sub\"><a href=\"http://american-pools.com/orlando-pool-products-features/\" class=\"\"><span>Products & Features</span></a><span class=\"mobile_arrow\"><i class=\"fa fa-angle-right\"></i><i class=\"fa fa-angle-down\"></i></span>\n<ul class=\"sub_menu\">\n\t<li id=\"mobile-menu-item-8538\" class=\"menu-item menu-item-type-post_type menu-item-object-page \"><a href=\"http://american-pools.com/orlando-pool-products-features/pools-spas/\" class=\"\"><span>Pools & Spas</span></a><span class=\"mobile_arrow\"><i class=\"fa fa-angle-right\"></i><i class=\"fa fa-angle-down\"></i></span></li>\n\t<li id=\"mobile-menu-item-8467\" class=\"menu-item menu-item-type-post_type menu-item-object-page \"><a href=\"http://american-pools.com/orlando-pool-products-features/pool-deck-pavers/\" class=\"\"><span>Pool Deck Pavers</span></a><span class=\"mobile_arrow\"><i class=\"fa fa-angle-right\"></i><i class=\"fa fa-angle-down\"></i></span></li>\n\t<li id=\"mobile-menu-item-8470\" class=\"menu-item menu-item-type-post_type menu-item-object-page \"><a href=\"http://american-pools.com/orlando-pool-products-features/screen-enclosures/\" class=\"\"><span>Screen Enclosures | Fences & Railings</span></a><span class=\"mobile_arrow\"><i class=\"fa fa-angle-right\"></i><i class=\"fa fa-angle-down\"></i></span></li>\n\t<li id=\"mobile-menu-item-8473\" class=\"menu-item menu-item-type-post_type menu-item-object-page \"><a href=\"http://american-pools.com/orlando-pool-products-features/outdoor-kitchens/\" class=\"\"><span>Outdoor Kitchens</span></a><span class=\"mobile_arrow\"><i class=\"fa fa-angle-right\"></i><i class=\"fa fa-angle-down\"></i></span></li>\n\t<li id=\"mobile-menu-item-8476\" class=\"menu-item menu-item-type-post_type menu-item-object-page \"><a href=\"http://american-pools.com/orlando-pool-products-features/pentair-pool-automation/\" class=\"\"><span>Pentair Pool Automation</span></a><span class=\"mobile_arrow\"><i class=\"fa fa-angle-right\"></i><i class=\"fa fa-angle-down\"></i></span></li>\n\t<li id=\"mobile-menu-item-8480\" class=\"menu-item menu-item-type-post_type menu-item-object-page \"><a href=\"http://american-pools.com/orlando-pool-products-features/pool-cleaning-equipment/\" class=\"\"><span>Pool Cleaning Equipment</span></a><span class=\"mobile_arrow\"><i class=\"fa fa-angle-right\"></i><i class=\"fa fa-angle-down\"></i></span></li>\n\t<li id=\"mobile-menu-item-8483\" class=\"menu-item menu-item-type-post_type menu-item-object-page \"><a href=\"http://american-pools.com/orlando-pool-products-features/swimming-pool-finishes/\" class=\"\"><span>Swimming Pool Finishes</span></a><span class=\"mobile_arrow\"><i class=\"fa fa-angle-right\"></i><i class=\"fa fa-angle-down\"></i></span></li>\n\t<li id=\"mobile-menu-item-8486\" class=\"menu-item menu-item-type-post_type menu-item-object-page \"><a href=\"http://american-pools.com/orlando-pool-products-features/pool-heaters/\" class=\"\"><span>Swimming Pool Heaters</span></a><span class=\"mobile_arrow\"><i class=\"fa fa-angle-right\"></i><i class=\"fa fa-angle-down\"></i></span></li>\n\t<li id=\"mobile-menu-item-8490\" class=\"menu-item menu-item-type-post_type menu-item-object-page \"><a href=\"http://american-pools.com/orlando-pool-products-features/pool-sanitizers/\" class=\"\"><span>Pool Sanitizers</span></a><span class=\"mobile_arrow\"><i class=\"fa fa-angle-right\"></i><i class=\"fa fa-angle-down\"></i></span></li>\n\t<li id=\"mobile-menu-item-8493\" class=\"menu-item menu-item-type-post_type menu-item-object-page \"><a href=\"http://american-pools.com/orlando-pool-products-features/pool-pumps-filters/\" class=\"\"><span>Swimming Pool Pumps & Filters</span></a><span class=\"mobile_arrow\"><i class=\"fa fa-angle-right\"></i><i class=\"fa fa-angle-down\"></i></span></li>\n</ul>\n</li>\n<li id=\"mobile-menu-item-8356\" class=\"menu-item menu-item-type-post_type menu-item-object-page \"><a href=\"http://american-pools.com/request-a-quote/\" class=\"\"><span>Request a Quote</span></a><span class=\"mobile_arrow\"><i class=\"fa fa-angle-right\"></i><i class=\"fa fa-angle-down\"></i></span></li>\n<li id=\"mobile-menu-item-9044\" class=\"menu-item menu-item-type-post_type menu-item-object-page \"><a href=\"http://american-pools.com/pool-builder-orlando/swimming-pool-financing/\" class=\"\"><span>Financing</span></a><span class=\"mobile_arrow\"><i class=\"fa fa-angle-right\"></i><i class=\"fa fa-angle-down\"></i></span></li>\n<li id=\"mobile-menu-item-15\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-has-children has_sub\"><a href=\"http://american-pools.com/contact/\" class=\"\"><span>Contact Us</span></a><span class=\"mobile_arrow\"><i class=\"fa fa-angle-right\"></i><i class=\"fa fa-angle-down\"></i></span>\n<ul class=\"sub_menu\">\n\t<li id=\"mobile-menu-item-8502\" class=\"menu-item menu-item-type-post_type menu-item-object-page \"><a href=\"http://american-pools.com/contact/careers/\" class=\"\"><span>Careers</span></a><span class=\"mobile_arrow\"><i class=\"fa fa-angle-right\"></i><i class=\"fa fa-angle-down\"></i></span></li>\n\t<li id=\"mobile-menu-item-8503\" class=\"menu-item menu-item-type-post_type menu-item-object-page \"><a href=\"http://american-pools.com/contact/pool-showroom-orlando/\" class=\"\"><span>Visit Our Pool Showroom</span></a><span class=\"mobile_arrow\"><i class=\"fa fa-angle-right\"></i><i class=\"fa fa-angle-down\"></i></span></li>\n\t<li id=\"mobile-menu-item-8508\" class=\"menu-item menu-item-type-post_type menu-item-object-page \"><a href=\"http://american-pools.com/contact/warranty-department/\" class=\"\"><span>Warranty Department</span></a><span class=\"mobile_arrow\"><i class=\"fa fa-angle-right\"></i><i class=\"fa fa-angle-down\"></i></span></li>\n</ul>\n</li>\n<li id=\"mobile-menu-item-104\" class=\"menu-item menu-item-type-post_type menu-item-object-page \"><a href=\"http://american-pools.com/orlando-florida-pool-builder-blog/\" class=\"\"><span>Blog</span></a><span class=\"mobile_arrow\"><i class=\"fa fa-angle-right\"></i><i class=\"fa fa-angle-down\"></i></span></li>\n</ul></nav>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t</div>\n\t\t\t\t\t</div>\n\t\t\t\t\t\t\t\t\t</div>\n\t\t\t</div>\n\t\t</div>\n\n</header>\t<a id=\"back_to_top\" href=\"#\">\n <span class=\"fa-stack\">\n <i class=\"qode_icon_font_awesome fa fa-arrow-up \" ></i> </span>\n\t</a>\n\t\n\t\n \n \n <div class=\"content content_top_margin_none has_slider\">\n <div class=\"content_inner \">\n \t\t\t\t\t\t\t\t\t\t<div class=\"q_slider\"><div class=\"q_slider_inner\">\n\t\t\t<div id=\"qode-home\" class=\"carousel slide responsive_height q_auto_start header_not_transparent \" data-slide_animation=\"6000\" data-height='680' data-parallax=\"yes\" style=\"height: 680px;\"><div class=\"qode_slider_preloader\"><div class=\"ajax_loader\" style=\"margin-top:67px;\"><div class=\"ajax_loader_1\"><div class=\"pulse\"></div></div></div></div><div class=\"carousel-inner \" data-start=\"transform: translateY(0px);\" data-1440=\"transform: translateY(-500px);\"><div class=\"item \" data-navigation-color=\"#ffffff\" style=\"height: 680px; \"><div class=\"image\" style=\"background-image:url(http://american-pools.com/wp-content/uploads/2019/02/home-slide-2.jpg);\"><img itemprop=\"image\" src=\"http://american-pools.com/wp-content/uploads/2019/02/home-slide-2.jpg\" alt=\"Home-slide2\"></div><div class=\"slider_content_outer\"><div class=\"slider_content left\" style=\"width:50%;left:8%;top:25%;\" ><div class=\"text all_at_once subtitle_bellow_title no_separator\"><div ><h4 class=\"q_slide_subtitle\" style=\"color: #f4f4f4;font-size: 38px;line-height: 48px;font-family: Lato;font-style: italic;font-weight: 300;text-transform: uppercase\"><span >Let's Discuss a New Pool for You!</span></h4></div><p class=\"q_slide_text\" style=\"color: #ffffff;font-size: 18px;line-height: 26px;font-style: normal;text-transform: none\" ><span>Contact us to see how affordable your dream pool can be.</span></p><a itemprop=\"url\" class=\"qbutton green default\" href=\"/request-a-quote/\" >Request a Quote</a></div></div></div></div><div class=\"item \" data-navigation-color=\"#ffffff\" style=\"height: 680px; \"><div class=\"image\" style=\"background-image:url(http://american-pools.com/wp-content/uploads/2019/02/home-slide-3.jpg);\"><img itemprop=\"image\" src=\"http://american-pools.com/wp-content/uploads/2019/02/home-slide-3.jpg\" alt=\"Home-slide1\"></div><div class=\"slider_content_outer\"><div class=\"slider_content left\" style=\"width:50%;left:8%;top:25%;\" ><div class=\"text all_at_once subtitle_bellow_title no_separator\"><div ><h4 class=\"q_slide_subtitle\" style=\"color: #f4f4f4;font-size: 38px;line-height: 48px;font-family: Lato;font-style: italic;font-weight: 300;text-transform: uppercase\"><span >Be Inspired.. See Some of the Pools We Have Built</span></h4></div><p class=\"q_slide_text\" style=\"color: #ffffff;font-size: 18px;line-height: 26px;font-style: normal;text-transform: none\" ><span>American Pools & Spas has been building amazing pools in Central Florida for over 20 years!</span></p><a itemprop=\"url\" class=\"qbutton green default\" href=\"/orlando-pool-galleries/\" >View Our Galleries</a></div></div></div></div><div class=\"item \" data-navigation-color=\"#ffffff\" style=\"height: 680px; \"><div class=\"image\" style=\"background-image:url(http://american-pools.com/wp-content/uploads/2019/02/home-slide-4.jpg);\"><img itemprop=\"image\" src=\"http://american-pools.com/wp-content/uploads/2019/02/home-slide-4.jpg\" alt=\"Home-slide3\"></div><div class=\"slider_content_outer\"><div class=\"slider_content left\" style=\"width:50%;left:8%;top:25%;\" ><div class=\"text all_at_once subtitle_bellow_title no_separator\"><div ><h4 class=\"q_slide_subtitle\" style=\"color: #f4f4f4;font-size: 38px;line-height: 48px;font-family: Lato;font-style: italic;font-weight: 300;text-transform: uppercase\"><span >Be Inspired.. See Some of the Pools We Have Built</span></h4></div><p class=\"q_slide_text\" style=\"color: #ffffff;font-size: 18px;line-height: 26px;font-style: normal;text-transform: none\" ><span>American Pools & Spas has been building amazing pools in Central Florida for over 20 years!</span></p><a itemprop=\"url\" class=\"qbutton green default\" href=\"/orlando-pool-galleries/\" >View Our Galleries</a></div></div></div></div></div><ol class=\"carousel-indicators\" data-start=\"opacity: 1;\" data-300=\"opacity:0;\"><li data-target=\"#qode-home\" data-slide-to=\"0\" class=\"active\"></li><li data-target=\"#qode-home\" data-slide-to=\"1\"></li><li data-target=\"#qode-home\" data-slide-to=\"2\"></li></ol><a class=\"left carousel-control\" href=\"#qode-home\" data-slide=\"prev\" data-start=\"opacity: 0.35;\" data-300=\"opacity:0;\"><span class=\"prev_nav\" style=\"margin-top:37px;\"><i class=\"fa fa-angle-left\"></i></span><span class=\"thumb_holder\" style=\"margin-top:37px;\"><span class=\"thumb_top clearfix\"><span class=\"arrow_left\"><i class=\"fa fa-angle-left\"></i></span><span class=\"numbers\"><span class=\"prev\"></span> / 3</span></span><span class=\"img_outer\"><span class=\"img\"></span></span></span></a><a class=\"right carousel-control\" href=\"#qode-home\" data-slide=\"next\" data-start=\"opacity: 0.35;\" data-300=\"opacity:0;\"><span class=\"next_nav\" style=\"margin-top:37px;\"><i class=\"fa fa-angle-right\"></i></span><span class=\"thumb_holder\" style=\"margin-top:37px;\"><span class=\"thumb_top clearfix\"><span class=\"numbers\"> <span class=\"next\"></span> / 3</span><span class=\"arrow_right\"><i class=\"fa fa-angle-right\"></i></span></span><span class=\"img_outer\"><span class=\"img\"></span></span></span></a></div>\t\t\t</div></div>\n\t\t\t<div class=\"full_width\">\n\t<div class=\"full_width_inner\" >\n\t\t\t\t\t\t\t\t\t\t<div class=\"vc_row wpb_row section vc_row-fluid vc_custom_1544134361360\" style=' text-align:left;'><div class=\" full_section_inner clearfix\"><div class=\"wpb_column vc_column_container vc_col-sm-12\"><div class=\"vc_column-inner\"><div class=\"wpb_wrapper\">\t<div class=\"vc_empty_space\" style=\"height: 65px\" ><span\n\t\t\tclass=\"vc_empty_space_inner\">\n\t\t\t<span class=\"empty_space_image\" ></span>\n\t\t</span></div>\n\n<div class=\"vc_row wpb_row section vc_row-fluid vc_inner grid_section\" style=' text-align:left;'><div class=\" section_inner clearfix\"><div class='section_inner_margin clearfix'><div class=\"wpb_column vc_column_container vc_col-sm-12\"><div class=\"vc_column-inner\"><div class=\"wpb_wrapper\">\n\t<div class=\"wpb_text_column wpb_content_element \">\n\t\t<div class=\"wpb_wrapper\">\n\t\t\t<h1 style=\"text-align: center;\">AMERICAN POOLS & SPAS – POOL BUILDERS ORLANDO</h1>\n\n\t\t</div> \n\t</div> \t<div class=\"vc_empty_space\" style=\"height: 20px\" ><span\n\t\t\tclass=\"vc_empty_space_inner\">\n\t\t\t<span class=\"empty_space_image\" ></span>\n\t\t</span></div>\n\n\n\t<div class=\"wpb_text_column wpb_content_element \">\n\t\t<div class=\"wpb_wrapper\">\n\t\t\t<p>The best pool builders know that your pool should be more than just a shape dug into the ground. There are so many amazing pool designs that having a rectangular, round, or oval-shaped pool should only be a last resort. Sure, some of the shape designs are best for the person who wants them, but with a little tweaking, you can have a pool that looks amazing and relieves your yard of boredom.</p>\n<p> </p>\n<p>Concrete pool builders understand that when they do something amazing with your pool, you’re more likely to tell others about your experience. As a custom swimming pool builder, American Pools & Spas, Orlando Pool Builders, are ready to help you get a pool that inspires and fits your budget. We are the best swimming pool contractors in Orlando, FL. Call us today and find out how our team can make a difference in your outdoor leisure and quality of life.</p>\n\n\t\t</div> \n\t</div> </div></div></div></div></div></div>\t<div class=\"vc_empty_space\" style=\"height: 65px\" ><span\n\t\t\tclass=\"vc_empty_space_inner\">\n\t\t\t<span class=\"empty_space_image\" ></span>\n\t\t</span></div>\n\n</div></div></div></div></div><div class=\"vc_row wpb_row section vc_row-fluid vc_custom_1544213341445\" style=' text-align:left;'><div class=\" full_section_inner clearfix\"><div class=\"wpb_column vc_column_container vc_col-sm-12\"><div class=\"vc_column-inner\"><div class=\"wpb_wrapper\">\t<div class=\"vc_empty_space\" style=\"height: 65px\" ><span\n\t\t\tclass=\"vc_empty_space_inner\">\n\t\t\t<span class=\"empty_space_image\" ></span>\n\t\t</span></div>\n\n<div class=\"vc_row wpb_row section vc_row-fluid vc_inner grid_section\" style=' text-align:left;'><div class=\" section_inner clearfix\"><div class='section_inner_margin clearfix'><div class=\"wpb_column vc_column_container vc_col-sm-3 vc_col-has-fill\"><div class=\"vc_column-inner vc_custom_1544807164869\"><div class=\"wpb_wrapper\">\n\t<div class=\"wpb_text_column wpb_content_element vc_custom_1545419568366\">\n\t\t<div class=\"wpb_wrapper\">\n\t\t\t<h3 style=\"text-align: center;\"><span style=\"color: #dbdbdb;\">Swimming Pools</span></h3>\n\n\t\t</div> \n\t</div> \n\t<div class=\"wpb_single_image wpb_content_element vc_align_center\">\n\t\t<div class=\"wpb_wrapper\">\n\t\t\t\n\t\t\t<div class=\"vc_single_image-wrapper vc_box_border_grey\"><img class=\"vc_single_image-img \" src=\"http://american-pools.com/wp-content/uploads/2018/12/pool_spa_orlando_home.jpg\" width=\"288\" height=\"160\" alt=\"pool_spa_orlando_home\" title=\"pool_spa_orlando_home\" /></div>\n\t\t</div>\n\t</div>\n\n\t<div class=\"wpb_text_column wpb_content_element small-t vc_custom_1547579673748\">\n\t\t<div class=\"wpb_wrapper\">\n\t\t\t<p>American Pools & Spas designs and builds residential and commercial swimming pools and spas.</p>\n\n\t\t</div> \n\t</div> <a itemprop=\"url\" href=\"/orlando-pool-galleries/swimming-pools-spas/\" target=\"_self\" class=\"qbutton large default fullw\" style=\"border-color: #4164a4; \">Read More</a></div></div></div><div class=\"wpb_column vc_column_container vc_col-sm-3 vc_col-has-fill\"><div class=\"vc_column-inner vc_custom_1544807642651\"><div class=\"wpb_wrapper\">\n\t<div class=\"wpb_text_column wpb_content_element vc_custom_1545419581155\">\n\t\t<div class=\"wpb_wrapper\">\n\t\t\t<h3 style=\"text-align: center;\"><span style=\"color: #dbdbdb;\">Outdoor Kitchens</span></h3>\n\n\t\t</div> \n\t</div> \n\t<div class=\"wpb_single_image wpb_content_element vc_align_center\">\n\t\t<div class=\"wpb_wrapper\">\n\t\t\t\n\t\t\t<div class=\"vc_single_image-wrapper vc_box_border_grey\"><img class=\"vc_single_image-img \" src=\"http://american-pools.com/wp-content/uploads/2018/12/outdoor_kitchen_orlando_home.jpg\" width=\"288\" height=\"160\" alt=\"outdoor_kitchen_orlando_home\" title=\"outdoor_kitchen_orlando_home\" /></div>\n\t\t</div>\n\t</div>\n\n\t<div class=\"wpb_text_column wpb_content_element small-t vc_custom_1547579828347\">\n\t\t<div class=\"wpb_wrapper\">\n\t\t\t<p>Our custom outdoor kitchens turn your backyard area into a great relaxing addition to your home.</p>\n\n\t\t</div> \n\t</div> <a itemprop=\"url\" href=\"/orlando-pool-products-features/outdoor-kitchens/\" target=\"_self\" class=\"qbutton large default fullw\" style=\"border-color: #4164a4; \">Read More</a></div></div></div><div class=\"wpb_column vc_column_container vc_col-sm-3 vc_col-has-fill\"><div class=\"vc_column-inner vc_custom_1544807776146\"><div class=\"wpb_wrapper\">\n\t<div class=\"wpb_text_column wpb_content_element vc_custom_1545419597791\">\n\t\t<div class=\"wpb_wrapper\">\n\t\t\t<h3 style=\"text-align: center;\"><span style=\"color: #dbdbdb;\">Screen Enclosures</span></h3>\n\n\t\t</div> \n\t</div> \n\t<div class=\"wpb_single_image wpb_content_element vc_align_center\">\n\t\t<div class=\"wpb_wrapper\">\n\t\t\t\n\t\t\t<div class=\"vc_single_image-wrapper vc_box_border_grey\"><img class=\"vc_single_image-img \" src=\"http://american-pools.com/wp-content/uploads/2018/12/screen_enclosures_orland_home.jpg\" width=\"288\" height=\"160\" alt=\"screen_enclosures_orland_home\" title=\"screen_enclosures_orland_home\" /></div>\n\t\t</div>\n\t</div>\n\n\t<div class=\"wpb_text_column wpb_content_element small-t vc_custom_1547579842645\">\n\t\t<div class=\"wpb_wrapper\">\n\t\t\t<p>American Pools & Spas builds premier screen enclosures in Orlando and other locations in Central Florida.</p>\n\n\t\t</div> \n\t</div> <a itemprop=\"url\" href=\"/orlando-pool-products-features/screen-enclosures/\" target=\"_self\" class=\"qbutton large default fullw\" style=\"border-color: #4164a4; \">Read More</a></div></div></div><div class=\"wpb_column vc_column_container vc_col-sm-3 vc_col-has-fill\"><div class=\"vc_column-inner vc_custom_1544807847925\"><div class=\"wpb_wrapper\">\n\t<div class=\"wpb_text_column wpb_content_element vc_custom_1545419609284\">\n\t\t<div class=\"wpb_wrapper\">\n\t\t\t<h3 style=\"text-align: center;\"><span style=\"color: #dbdbdb;\">Patio Pavers and More</span></h3>\n\n\t\t</div> \n\t</div> \n\t<div class=\"wpb_single_image wpb_content_element vc_align_center\">\n\t\t<div class=\"wpb_wrapper\">\n\t\t\t\n\t\t\t<div class=\"vc_single_image-wrapper vc_box_border_grey\"><img class=\"vc_single_image-img \" src=\"http://american-pools.com/wp-content/uploads/2018/12/patio_pavers_orlando_home.jpg\" width=\"288\" height=\"160\" alt=\"patio_pavers_orlando_home\" title=\"patio_pavers_orlando_home\" /></div>\n\t\t</div>\n\t</div>\n\n\t<div class=\"wpb_text_column wpb_content_element small-t vc_custom_1547579797152\">\n\t\t<div class=\"wpb_wrapper\">\n\t\t\t<p>Pavers also come in many different colors, shapes and sizes to create a variety of pool deck designs.</p>\n\n\t\t</div> \n\t</div> <a itemprop=\"url\" href=\"/orlando-pool-products-features/pool-deck-pavers/\" target=\"_self\" class=\"qbutton large default fullw\" style=\"border-color: #4164a4; \">Read More</a></div></div></div></div></div></div>\t<div class=\"vc_empty_space\" style=\"height: 65px\" ><span\n\t\t\tclass=\"vc_empty_space_inner\">\n\t\t\t<span class=\"empty_space_image\" ></span>\n\t\t</span></div>\n\n</div></div></div></div></div><div class=\"vc_row wpb_row section vc_row-fluid \" style=' text-align:left;'><div class=\" full_section_inner clearfix\"><div class=\"wpb_column vc_column_container vc_col-sm-12\"><div class=\"vc_column-inner\"><div class=\"wpb_wrapper\">\t<div class=\"vc_empty_space\" style=\"height: 50px\" ><span\n\t\t\tclass=\"vc_empty_space_inner\">\n\t\t\t<span class=\"empty_space_image\" ></span>\n\t\t</span></div>\n\n<div class=\"vc_row wpb_row section vc_row-fluid vc_inner grid_section\" style=' text-align:left;'><div class=\" section_inner clearfix\"><div class='section_inner_margin clearfix'><div class=\"wpb_column vc_column_container vc_col-sm-12\"><div class=\"vc_column-inner\"><div class=\"wpb_wrapper\">\n\t<div class=\"wpb_text_column wpb_content_element \">\n\t\t<div class=\"wpb_wrapper\">\n\t\t\t<p style=\"text-align: center;\"><span style=\"font-size: 36px;\">Amazing Custom Pools & Spas</span></p>\n<p style=\"text-align: center;\">American Pools & Spas designs and builds swimming pools, spas, outdoor kitchens, screen enclosures, and patios for client in Orlando, Florida and the surrounding communities. Your inground swimming pool is a major focal point within that outdoor living space. American Pools & Spas designs and installs indoor and outdoor inground pools and spas for residential and commercial clients.</p>\n<p style=\"text-align: center;\">You can view our galleries here:</p>\n<p style=\"text-align: center;\"><a href=\"/orlando-pool-galleries/swimming-pools-spas/\">Pools & Spas</a> | <a href=\"/orlando-pool-galleries/pools-with-rock-formations/\">Pools with Rock Formations</a> | <a href=\"/orlando-pool-galleries/swimming-pools-water-features/\">Pools with Water Features</a> | <a href=\"/orlando-pool-galleries/infinity-pools/\">Infinity Pools</a> | <a href=\"/orlando-pool-galleries/spools/\">Spools</a> | <a href=\"/orlando-pool-galleries/commercial-pools/\">Commercial Pools</a></p>\n\n\t\t</div> \n\t</div> </div></div></div></div></div></div>\t<div class=\"vc_empty_space\" style=\"height: 30px\" ><span\n\t\t\tclass=\"vc_empty_space_inner\">\n\t\t\t<span class=\"empty_space_image\" ></span>\n\t\t</span></div>\n\n<div class=\"wpb_gallery wpb_content_element vc_clearfix vc_custom_1545246800156\"><div class=\"wpb_wrapper\"><div class=\"wpb_gallery_slides wpb_image_grid\" data-interval=\"3\"><div class=\"gallery_holder\"><ul class=\"gallery_inner gallery_without_space v5\"><li class=\"no_grayscale\"><a itemprop=\"image\" class=\"qode-prettyphoto\" href=\"http://american-pools.com/wp-content/uploads/2018/12/orlando-pool-builders-swimming-pools-spas-33-1024x768.jpg\" data-rel=\"prettyPhoto[rel-10-726882890]\"><span class=\"gallery_hover\"><i class=\"fa fa-search\"></i></span><img class=\"\" src=\"http://american-pools.com/wp-content/uploads/2018/12/orlando-pool-builders-swimming-pools-spas-33-320x180.jpg\" width=\"320\" height=\"180\" alt=\"\" title=\"\" /></a></li><li class=\"no_grayscale\"><a itemprop=\"image\" class=\"qode-prettyphoto\" href=\"http://american-pools.com/wp-content/uploads/2018/12/orlando-pool-builder-pools-water-features-11.jpg\" data-rel=\"prettyPhoto[rel-10-726882890]\"><span class=\"gallery_hover\"><i class=\"fa fa-search\"></i></span><img class=\"\" src=\"http://american-pools.com/wp-content/uploads/2018/12/orlando-pool-builder-pools-water-features-11-320x180.jpg\" width=\"320\" height=\"180\" alt=\"\" title=\"\" /></a></li><li class=\"no_grayscale\"><a itemprop=\"image\" class=\"qode-prettyphoto\" href=\"http://american-pools.com/wp-content/uploads/2018/12/orlando-pool-builder-pools-water-features-9.jpg\" data-rel=\"prettyPhoto[rel-10-726882890]\"><span class=\"gallery_hover\"><i class=\"fa fa-search\"></i></span><img class=\"\" src=\"http://american-pools.com/wp-content/uploads/2018/12/orlando-pool-builder-pools-water-features-9-320x180.jpg\" width=\"320\" height=\"180\" alt=\"commercial pool\" title=\"\" /></a></li><li class=\"no_grayscale\"><a itemprop=\"image\" class=\"qode-prettyphoto\" href=\"http://american-pools.com/wp-content/uploads/2018/12/orlando-pool-builders-spools-4.jpg\" data-rel=\"prettyPhoto[rel-10-726882890]\"><span class=\"gallery_hover\"><i class=\"fa fa-search\"></i></span><img class=\"\" src=\"http://american-pools.com/wp-content/uploads/2018/12/orlando-pool-builders-spools-4-320x180.jpg\" width=\"320\" height=\"180\" alt=\"\" title=\"\" /></a></li><li class=\"no_grayscale\"><a itemprop=\"image\" class=\"qode-prettyphoto\" href=\"http://american-pools.com/wp-content/uploads/2018/12/infinity-pool-pictures-8.jpg\" data-rel=\"prettyPhoto[rel-10-726882890]\"><span class=\"gallery_hover\"><i class=\"fa fa-search\"></i></span><img class=\"\" src=\"http://american-pools.com/wp-content/uploads/2018/12/infinity-pool-pictures-8-320x180.jpg\" width=\"320\" height=\"180\" alt=\"\" title=\"\" /></a></li><li class=\"no_grayscale\"><a itemprop=\"image\" class=\"qode-prettyphoto\" href=\"http://american-pools.com/wp-content/uploads/2018/12/orlando-pool-builders-commercial-pools-6.jpg\" data-rel=\"prettyPhoto[rel-10-726882890]\"><span class=\"gallery_hover\"><i class=\"fa fa-search\"></i></span><img class=\"\" src=\"http://american-pools.com/wp-content/uploads/2018/12/orlando-pool-builders-commercial-pools-6-320x180.jpg\" width=\"320\" height=\"180\" alt=\"\" title=\"\" /></a></li><li class=\"no_grayscale\"><a itemprop=\"image\" class=\"qode-prettyphoto\" href=\"http://american-pools.com/wp-content/uploads/2018/12/orlando-pool-builders-commercial-pools-3.jpg\" data-rel=\"prettyPhoto[rel-10-726882890]\"><span class=\"gallery_hover\"><i class=\"fa fa-search\"></i></span><img class=\"\" src=\"http://american-pools.com/wp-content/uploads/2018/12/orlando-pool-builders-commercial-pools-3-320x180.jpg\" width=\"320\" height=\"180\" alt=\"commercial pool builders florida\" title=\"\" /></a></li><li class=\"no_grayscale\"><a itemprop=\"image\" class=\"qode-prettyphoto\" href=\"http://american-pools.com/wp-content/uploads/2018/12/orlando-pool-builders-swimming-pools-spas-30.jpg\" data-rel=\"prettyPhoto[rel-10-726882890]\"><span class=\"gallery_hover\"><i class=\"fa fa-search\"></i></span><img class=\"\" src=\"http://american-pools.com/wp-content/uploads/2018/12/orlando-pool-builders-swimming-pools-spas-30-320x180.jpg\" width=\"320\" height=\"180\" alt=\"\" title=\"\" /></a></li><li class=\"no_grayscale\"><a itemprop=\"image\" class=\"qode-prettyphoto\" href=\"http://american-pools.com/wp-content/uploads/2018/12/orlando-pool-builders-swimming-pools-spas-42.jpg\" data-rel=\"prettyPhoto[rel-10-726882890]\"><span class=\"gallery_hover\"><i class=\"fa fa-search\"></i></span><img class=\"\" src=\"http://american-pools.com/wp-content/uploads/2018/12/orlando-pool-builders-swimming-pools-spas-42-320x180.jpg\" width=\"320\" height=\"180\" alt=\"\" title=\"\" /></a></li><li class=\"no_grayscale\"><a itemprop=\"image\" class=\"qode-prettyphoto\" href=\"http://american-pools.com/wp-content/uploads/2018/12/orlando-pool-builder-pools-water-features-1.jpg\" data-rel=\"prettyPhoto[rel-10-726882890]\"><span class=\"gallery_hover\"><i class=\"fa fa-search\"></i></span><img class=\"\" src=\"http://american-pools.com/wp-content/uploads/2018/12/orlando-pool-builder-pools-water-features-1-320x180.jpg\" width=\"320\" height=\"180\" alt=\"\" title=\"\" /></a></li><li class=\"no_grayscale\"><a itemprop=\"image\" class=\"qode-prettyphoto\" href=\"http://american-pools.com/wp-content/uploads/2018/12/orlando-pool-builders-swimming-pools-spas-23.jpg\" data-rel=\"prettyPhoto[rel-10-726882890]\"><span class=\"gallery_hover\"><i class=\"fa fa-search\"></i></span><img class=\"\" src=\"http://american-pools.com/wp-content/uploads/2018/12/orlando-pool-builders-swimming-pools-spas-23-320x180.jpg\" width=\"320\" height=\"180\" alt=\"\" title=\"\" /></a></li><li class=\"no_grayscale\"><a itemprop=\"image\" class=\"qode-prettyphoto\" href=\"http://american-pools.com/wp-content/uploads/2018/12/orlando-pool-builders-swimming-pools-spas-21.jpg\" data-rel=\"prettyPhoto[rel-10-726882890]\"><span class=\"gallery_hover\"><i class=\"fa fa-search\"></i></span><img class=\"\" src=\"http://american-pools.com/wp-content/uploads/2018/12/orlando-pool-builders-swimming-pools-spas-21-320x180.jpg\" width=\"320\" height=\"180\" alt=\"\" title=\"\" /></a></li><li class=\"no_grayscale\"><a itemprop=\"image\" class=\"qode-prettyphoto\" href=\"http://american-pools.com/wp-content/uploads/2018/12/orlando-pool-builders-swimming-pools-spas-20.jpg\" data-rel=\"prettyPhoto[rel-10-726882890]\"><span class=\"gallery_hover\"><i class=\"fa fa-search\"></i></span><img class=\"\" src=\"http://american-pools.com/wp-content/uploads/2018/12/orlando-pool-builders-swimming-pools-spas-20-320x180.jpg\" width=\"320\" height=\"180\" alt=\"\" title=\"\" /></a></li><li class=\"no_grayscale\"><a itemprop=\"image\" class=\"qode-prettyphoto\" href=\"http://american-pools.com/wp-content/uploads/2018/12/orlando-pool-builders-pools-rock-formations-4.jpg\" data-rel=\"prettyPhoto[rel-10-726882890]\"><span class=\"gallery_hover\"><i class=\"fa fa-search\"></i></span><img class=\"\" src=\"http://american-pools.com/wp-content/uploads/2018/12/orlando-pool-builders-pools-rock-formations-4-320x180.jpg\" width=\"320\" height=\"180\" alt=\"\" title=\"\" /></a></li><li class=\"no_grayscale\"><a itemprop=\"image\" class=\"qode-prettyphoto\" href=\"http://american-pools.com/wp-content/uploads/2018/12/infinity-pool-pictures-4.jpg\" data-rel=\"prettyPhoto[rel-10-726882890]\"><span class=\"gallery_hover\"><i class=\"fa fa-search\"></i></span><img class=\"\" src=\"http://american-pools.com/wp-content/uploads/2018/12/infinity-pool-pictures-4-320x180.jpg\" width=\"320\" height=\"180\" alt=\"\" title=\"\" /></a></li></ul></div></div></div></div>\t<div class=\"vc_empty_space\" style=\"height: 50px\" ><span\n\t\t\tclass=\"vc_empty_space_inner\">\n\t\t\t<span class=\"empty_space_image\" ></span>\n\t\t</span></div>\n\n</div></div></div></div></div><div class=\"vc_row wpb_row section vc_row-fluid \" style=' text-align:left;'><div class=\" full_section_inner clearfix\"><div class=\"wpb_column vc_column_container vc_col-sm-12\"><div class=\"vc_column-inner\"><div class=\"wpb_wrapper\">\t<div class=\"vc_empty_space\" style=\"height: 32px\" ><span\n\t\t\tclass=\"vc_empty_space_inner\">\n\t\t\t<span class=\"empty_space_image\" ></span>\n\t\t</span></div>\n\n\n\t<div class=\"wpb_text_column wpb_content_element \">\n\t\t<div class=\"wpb_wrapper\">\n\t\t\t<p style=\"text-align: center;\"><span style=\"font-size: 24px;\">PREMIER ORLANDO POOL BUILDER FOR:</span></p>\n\n\t\t</div> \n\t</div> \t<div class=\"vc_empty_space\" style=\"height: 20px\" ><span\n\t\t\tclass=\"vc_empty_space_inner\">\n\t\t\t<span class=\"empty_space_image\" ></span>\n\t\t</span></div>\n\n<div class=\"vc_row wpb_row section vc_row-fluid vc_inner vc_custom_1544115753349 grid_section\" style=' text-align:center;'><div class=\" section_inner clearfix\"><div class='section_inner_margin clearfix'><div class=\"wpb_column vc_column_container vc_col-sm-2\"><div class=\"vc_column-inner\"><div class=\"wpb_wrapper\"></div></div></div><div class=\"wpb_column vc_column_container vc_col-sm-8\"><div class=\"vc_column-inner\"><div class=\"wpb_wrapper\"><div class='qode_carousels_holder clearfix'><div class='qode_carousels' data-number-of-visible-items='4'><ul class='slides'><li class='item'><div class=\"carousel_item_holder\"><span class='first_image_holder '><img itemprop=\"image\" src=\"http://146.66.109.199/~americ56/wp-content/uploads/2018/12/Carousel-6.jpg\" alt=\"carousel image\" /></span></div></li><li class='item'><div class=\"carousel_item_holder\"><span class='first_image_holder '><img itemprop=\"image\" src=\"http://146.66.109.199/~americ56/wp-content/uploads/2018/12/Carousel-9.jpg\" alt=\"carousel image\" /></span></div></li><li class='item'><div class=\"carousel_item_holder\"><span class='first_image_holder '><img itemprop=\"image\" src=\"http://146.66.109.199/~americ56/wp-content/uploads/2018/12/Carousel-8.jpg\" alt=\"carousel image\" /></span></div></li><li class='item'><div class=\"carousel_item_holder\"><span class='first_image_holder '><img itemprop=\"image\" src=\"http://146.66.109.199/~americ56/wp-content/uploads/2018/12/Carousel-7.jpg\" alt=\"carousel image\" /></span></div></li><li class='item'><div class=\"carousel_item_holder\"><span class='first_image_holder '><img itemprop=\"image\" src=\"http://american-pools.com/wp-content/uploads/2019/02/tm.jpg\" alt=\"carousel image\" /></span></div></li><li class='item'><div class=\"carousel_item_holder\"><span class='first_image_holder '><img itemprop=\"image\" src=\"http://146.66.109.199/~americ56/wp-content/uploads/2018/12/Carousel-3.jpg\" alt=\"carousel image\" /></span></div></li><li class='item'><div class=\"carousel_item_holder\"><span class='first_image_holder '><img itemprop=\"image\" src=\"http://146.66.109.199/~americ56/wp-content/uploads/2018/12/Carousel-4.jpg\" alt=\"carousel image\" /></span></div></li><li class='item'><div class=\"carousel_item_holder\"><span class='first_image_holder '><img itemprop=\"image\" src=\"http://146.66.109.199/~americ56/wp-content/uploads/2018/12/Carousel-2.jpg\" alt=\"carousel image\" /></span></div></li></ul></div></div></div></div></div><div class=\"wpb_column vc_column_container vc_col-sm-2\"><div class=\"vc_column-inner\"><div class=\"wpb_wrapper\"></div></div></div></div></div></div>\t<div class=\"vc_empty_space\" style=\"height: 30px\" ><span\n\t\t\tclass=\"vc_empty_space_inner\">\n\t\t\t<span class=\"empty_space_image\" ></span>\n\t\t</span></div>\n\n</div></div></div></div></div><div class=\"vc_row wpb_row section vc_row-fluid \" style=' text-align:left;'><div class=\" full_section_inner clearfix\"><div class=\"wpb_column vc_column_container vc_col-sm-12 vc_hidden-sm vc_hidden-xs\"><div class=\"vc_column-inner\"><div class=\"wpb_wrapper\"><div class='q_elements_holder one_column responsive_mode_from_768 myf' ><div class='q_elements_item ' data-animation='no' style='text-align:left;'><div class='q_elements_item_inner'><div class='q_elements_item_content q_elements_holder_custom_755576'><span class='q_social_icon_holder square_social' data-color=#ffffff data-hover-background-color=#4967b1 data-hover-color=#ffffff><a itemprop='url' href='https://www.facebook.com/AmericanPoolsSpas' target='_blank'><span class='fa-stack ' style='background-color: #4967b1;border-width: 0px;margin: 0px;font-size: 25px;'><i class=\"qode_icon_font_awesome fa fa-facebook \" style=\"color: #ffffff;font-size: 25px;\" ></i></span></a></span><span class='q_social_icon_holder square_social' data-color=#ffffff data-hover-background-color=#c94220 data-hover-color=#ffffff><a itemprop='url' href='https://www.youtube.com/channel/UC29-XIIPCYvfEz-ZJvhlcag' target='_blank'><span class='fa-stack ' style='background-color: #c94220;border-width: 0px;margin: 0px;font-size: 25px;'><i class=\"qode_icon_font_awesome fa fa-youtube \" style=\"color: #ffffff;font-size: 25px;\" ></i></span></a></span><span 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data-hover-background-color=#e02323 data-hover-color=#ffffff><a itemprop='url' href='https://www.pinterest.com/Am_Pools_Spas/' target='_blank'><span class='fa-stack ' style='background-color: #e02323;border-width: 0px;margin: 0px;font-size: 25px;'><i class=\"qode_icon_font_awesome fa fa-pinterest \" style=\"color: #ffffff;font-size: 25px;\" ></i></span></a></span><span class='q_social_icon_holder square_social' data-color=#ffffff data-hover-background-color=#bc1e8f data-hover-color=#ffffff><a itemprop='url' href='https://www.instagram.com/americanpoolsspas/' target='_blank'><span class='fa-stack ' style='background-color: #bc1e8f;border-width: 0px;margin: 0px;font-size: 25px;'><i class=\"qode_icon_font_awesome fa fa-instagram \" style=\"color: #ffffff;font-size: 25px;\" ></i></span></a></span></div></div></div></div></div></div></div></div></div>\n\t\t\t\t\t\t\t\t\t\t \n\t\t\t\t\t\t\t\t\t\t\t\t</div>\n\t</div>\n\t\t\t\t\t\t<div class=\"content_bottom\" >\n\t\t\t\t\t</div>\n\t\t\t\t\n\t</div>\n</div>\n\n\n\n\t<footer >\n\t\t<div class=\"footer_inner clearfix\">\n\t\t\t\t<div class=\"footer_top_holder\">\n \t\t\t<div class=\"footer_top\">\n\t\t\t\t\t\t\t\t<div class=\"container\">\n\t\t\t\t\t<div class=\"container_inner\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"three_columns clearfix\">\n\t\t\t\t\t\t\t\t<div class=\"column1 footer_col1\">\n\t\t\t\t\t\t\t\t\t<div class=\"column_inner\">\n\t\t\t\t\t\t\t\t\t\t<div id=\"custom_html-3\" class=\"widget_text widget widget_custom_html\"><h5>American Pools & Spas</h5><div class=\"textwidget custom-html-widget\"><p>\r\n7320 Narcoossee Road<br/>\r\nOrlando, FL 32822<br/>\r\nPhone:407-847-9322\r\n</p>\r\n\r\n<p><strong>Business Hours:</strong><br/>\r\n\t8:00am to 5:00pm Monday-Friday</p> </div></div>\t\t\t\t\t\t\t\t\t</div>\n\t\t\t\t\t\t\t\t</div>\n\t\t\t\t\t\t\t\t<div class=\"column2 footer_col2\">\n\t\t\t\t\t\t\t\t\t<div class=\"column_inner\">\n\t\t\t\t\t\t\t\t\t\t<div id=\"text-2\" class=\"widget widget_text\"><h5>American Pools</h5>\t\t\t<div class=\"textwidget\"><p>American Pools and Spas, Orlando pool builders, designs and installs inground swimming pools & custom spas, outdoor kitchens, screen enclosures & patios, pavers in Central Florida including <a href=\"/pool-builder-orlando/area-served-central-florida/brevard-county-florida/\">Brevard County</a>, <a href=\"/pool-builder-orlando/area-served-central-florida/lake-county-florida/\">Lake County</a>, <a href=\"/pool-builder-orlando/area-served-central-florida/orange-county-florida/\">Orange County</a>, <a href=\"/pool-builder-orlando/area-served-central-florida/osceola-county-florida/\">Osceola County</a>, <a href=\"/pool-builder-orlando/area-served-central-florida/polk-county-florida/\">Polk County</a>, <a href=\"/pool-builder-orlando/area-served-central-florida/seminole-county-florida/\">Seminole County</a>, and <a href=\"/pool-builder-orlando/area-served-central-florida/volusia-county-florida/\">Volusia County</a>.</p>\n<p>American Pools & Spas also designs and installs <a href=\"/pool-builder-orlando/area-served-central-florida/commercial-pool-builders-florida/\">commercial pools</a> in Florida and the Caribbean.</p>\n</div>\n\t\t</div>\t\t\t\t\t\t\t\t\t</div>\n\t\t\t\t\t\t\t\t</div>\n\t\t\t\t\t\t\t\t<div class=\"column3 footer_col3\">\n\t\t\t\t\t\t\t\t\t<div class=\"column_inner\">\n\t\t\t\t\t\t\t\t\t\t<div id=\"text-3\" class=\"widget widget_text\"><h5>Pool Builders Orlando</h5>\t\t\t<div class=\"textwidget\"><p><span style=\"margin-right: 15px;\"><a href=\"http://www.bbb.org/central-florida/business-reviews/swimming-pool-contractors-dealers-design/american-pools-and-spas-in-orlando-fl-23000613\" target=\"_blank\" rel=\"noopener\"><img src=\"http://146.66.109.199/~americ56/wp-content/uploads/2018/12/orlando-pool-builders-bbb1.png\" alt=\"pool builders orlando\" width=\"140\" height=\"110\" /></a></span><a 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Florida Pool Builders</a></li>\n<li id=\"menu-item-8274\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-8274\"><a href=\"http://american-pools.com/orlando-florida-pool-builder-blog/\">Blog</a></li>\n<li id=\"menu-item-8275\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-8275\"><a href=\"http://american-pools.com/privacy-policy/\">Privacy Policy</a></li>\n<li id=\"menu-item-8276\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-8276\"><a href=\"http://american-pools.com/contact/\">Contact Us</a></li>\n<li id=\"menu-item-8355\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-8355\"><a href=\"http://american-pools.com/request-a-quote/\">Request a Quote</a></li>\n</ul></div><div class=\"textwidget custom-html-widget\"><p style=\"text-align: center;\">© Copyright <script>document.write(new Date().getFullYear())</script> American Pools & Spas. 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o=(e=e||\"\").length%16,n=e.length-o,i=[0,t],a=[0,t],r=[0,0],s=[0,0],d=[2277735313,289559509],l=[1291169091,658871167],c=0;c<n;c+=16)r=[255&e.charCodeAt(c+4)|(255&e.charCodeAt(c+5))<<8|(255&e.charCodeAt(c+6))<<16|(255&e.charCodeAt(c+7))<<24,255&e.charCodeAt(c)|(255&e.charCodeAt(c+1))<<8|(255&e.charCodeAt(c+2))<<16|(255&e.charCodeAt(c+3))<<24],s=[255&e.charCodeAt(c+12)|(255&e.charCodeAt(c+13))<<8|(255&e.charCodeAt(c+14))<<16|(255&e.charCodeAt(c+15))<<24,255&e.charCodeAt(c+8)|(255&e.charCodeAt(c+9))<<8|(255&e.charCodeAt(c+10))<<16|(255&e.charCodeAt(c+11))<<24],r=this.x64Multiply(r,d),r=this.x64Rotl(r,31),r=this.x64Multiply(r,l),i=this.x64Xor(i,r),i=this.x64Rotl(i,27),i=this.x64Add(i,a),i=this.x64Add(this.x64Multiply(i,[0,5]),[0,1390208809]),s=this.x64Multiply(s,l),s=this.x64Rotl(s,33),s=this.x64Multiply(s,d),a=this.x64Xor(a,s),a=this.x64Rotl(a,31),a=this.x64Add(a,i),a=this.x64Add(this.x64Multiply(a,[0,5]),[0,944331445]);switch(r=[0,0],s=[0,0],o){case 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t,o,n,i,a,r,s=\"\",d=0;for(e=e.replace(/[^A-Za-z0-9\\+\\/\\=]/g,\"\");d<e.length;)t=this._keyStr.indexOf(e.charAt(d++))<<2|(i=this._keyStr.indexOf(e.charAt(d++)))>>4,o=(15&i)<<4|(a=this._keyStr.indexOf(e.charAt(d++)))>>2,n=(3&a)<<6|(r=this._keyStr.indexOf(e.charAt(d++))),s+=String.fromCharCode(t),64!=a&&(s+=String.fromCharCode(o)),64!=r&&(s+=String.fromCharCode(n));return s=c._utf8_decode(s)},_utf8_encode:function(e){e=e.replace(/\\r\\n/g,\"\\n\");for(var t=\"\",o=0;o<e.length;o++){var n=e.charCodeAt(o);n<128?t+=String.fromCharCode(n):(127<n&&n<2048?t+=String.fromCharCode(n>>6|192):(t+=String.fromCharCode(n>>12|224),t+=String.fromCharCode(n>>6&63|128)),t+=String.fromCharCode(63&n|128))}return t},_utf8_decode:function(e){for(var 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IN NO EVENT SHALL VALENTIN VASILYEV BE LIABLE FOR ANY\n* DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES\n* (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;\n* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND\n* ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT\n* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF\n* THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.\n*/\n\n(function (name, context, definition) {\n 'use strict'\n if (typeof window !== 'undefined' && typeof window.define === 'function' && window.define.amd) { window.define(definition) } else if (typeof module !== 'undefined' && module.exports) { module.exports = definition() } else if (context.exports) { context.exports = definition() } else { context[name] = definition() }\n})('Fingerprint2', this, function () {\n 'use strict'\n /**\n * @constructor\n * @param {Object=} options\n */\n var Fingerprint2 = function (options) {\n if (!(this instanceof Fingerprint2)) {\n return new Fingerprint2(options)\n }\n\n var defaultOptions = {\n swfContainerId: 'fingerprintjs2',\n swfPath: 'flash/compiled/FontList.swf',\n detectScreenOrientation: true,\n sortPluginsFor: [/palemoon/i],\n // To ensure consistent fingerprints when users rotate their mobile devices\n userDefinedFonts: [],\n // DNT depends on incognito mode for some browsers (Chrome) and it's impossible to detect incognito mode\n excludeDoNotTrack: true,\n // devicePixelRatio depends on browser zoom, and it's impossible to detect browser zoom\n excludePixelRatio: true,\n // On iOS 11, audio context can only be used in response to user interaction.\n // We require users to explicitly enable audio fingerprinting on iOS 11.\n // See https://stackoverflow.com/questions/46363048/onaudioprocess-not-called-on-ios11#46534088\n excludeAudioIOS11: true,\n // Unreliable on Windows, see https://github.com/Valve/fingerprintjs2/issues/375\n excludeEnumerateDevices: true\n }\n this.options = this.extend(options, defaultOptions)\n this.nativeForEach = Array.prototype.forEach\n this.nativeMap = Array.prototype.map\n }\n Fingerprint2.prototype = {\n extend: function (source, target) {\n if (source == null) { return target }\n for (var k in source) {\n if (source[k] != null && target[k] !== source[k]) {\n target[k] = source[k]\n }\n }\n return target\n },\n get: function (done) {\n var that = this\n var keys = {\n data: [],\n addPreprocessedComponent: function (pair) {\n var componentValue = pair.value\n if (typeof that.options.preprocessor === 'function') {\n componentValue = that.options.preprocessor(pair.key, componentValue)\n }\n keys.data.push({key: pair.key, value: componentValue})\n }\n }\n this.userAgentKey(keys)\n this.languageKey(keys)\n this.colorDepthKey(keys)\n this.deviceMemoryKey(keys)\n this.pixelRatioKey(keys)\n this.hardwareConcurrencyKey(keys)\n this.screenResolutionKey(keys)\n this.availableScreenResolutionKey(keys)\n this.timezoneOffsetKey(keys)\n this.timezoneKey(keys)\n this.sessionStorageKey(keys)\n this.localStorageKey(keys)\n this.indexedDbKey(keys)\n this.addBehaviorKey(keys)\n this.openDatabaseKey(keys)\n this.cpuClassKey(keys)\n this.platformKey(keys)\n this.doNotTrackKey(keys)\n this.pluginsKey(keys)\n this.canvasKey(keys)\n this.webglKey(keys)\n this.webglVendorAndRendererKey(keys)\n this.adBlockKey(keys)\n this.hasLiedLanguagesKey(keys)\n this.hasLiedResolutionKey(keys)\n this.hasLiedOsKey(keys)\n this.hasLiedBrowserKey(keys)\n this.touchSupportKey(keys)\n this.customEntropyFunction(keys)\n this.fontsKey(keys, function (keysWithFont) {\n that.audioKey(keysWithFont, function (newKeys) {\n that.enumerateDevicesKey(newKeys, function (keysWithDevices) {\n var values = []\n that.each(keysWithDevices.data, function (pair) {\n var value = pair.value\n if (value && typeof value.join === 'function') {\n values.push(value.join(';'))\n } else {\n values.push(value)\n }\n })\n var murmur = that.x64hash128(values.join('~~~'), 31)\n return done(murmur, keysWithDevices.data)\n })\n })\n })\n },\n // https://developer.mozilla.org/en-US/docs/Web/API/MediaDevices/enumerateDevices\n enumerateDevicesKey: function (keys, done) {\n if (this.options.excludeEnumerateDevices || !this.isEnumerateDevicesSupported()) {\n return done(keys)\n }\n\n navigator.mediaDevices.enumerateDevices()\n .then(function (devices) {\n var enumerateDevicesFp = []\n devices.forEach(function (device) {\n enumerateDevicesFp.push('id=' + device.deviceId + ';gid=' + device.groupId + ';' + device.kind + ';' + device.label)\n })\n keys.addPreprocessedComponent({key: 'enumerate_devices', value: enumerateDevicesFp})\n return done(keys)\n })\n .catch(function (e) {\n return done(keys)\n })\n },\n isEnumerateDevicesSupported: function () {\n return (navigator.mediaDevices && navigator.mediaDevices.enumerateDevices)\n },\n // Inspired by and based on https://github.com/cozylife/audio-fingerprint\n audioKey: function (keys, done) {\n if (this.options.excludeAudio) {\n return done(keys)\n }\n\n if (this.options.excludeAudioIOS11 && navigator.userAgent.match(/OS 11.+Version\\/11.+Safari/)) {\n // See comment for excludeUserAgent and https://stackoverflow.com/questions/46363048/onaudioprocess-not-called-on-ios11#46534088\n return done(keys)\n }\n\n var AudioContext = window.OfflineAudioContext || window.webkitOfflineAudioContext\n\n if (AudioContext == null) {\n keys.addPreprocessedComponent({key: 'audio_fp', value: null})\n return done(keys)\n }\n\n var context = new AudioContext(1, 44100, 44100)\n\n var oscillator = context.createOscillator()\n oscillator.type = 'triangle'\n oscillator.frequency.setValueAtTime(10000, context.currentTime)\n\n var compressor = context.createDynamicsCompressor()\n this.each([\n ['threshold', -50],\n ['knee', 40],\n ['ratio', 12],\n ['reduction', -20],\n ['attack', 0],\n ['release', 0.25]\n ], function (item) {\n if (compressor[item[0]] !== undefined && typeof compressor[item[0]].setValueAtTime === 'function') {\n compressor[item[0]].setValueAtTime(item[1], context.currentTime)\n }\n })\n\n var audioTimeoutId = setTimeout(function () {\n console.warn('Audio fingerprint timed out. Please report bug at https://github.com/Valve/fingerprintjs2 with your user agent: \"' + navigator.userAgent + '\".')\n return done(keys)\n }, 1000)\n\n context.oncomplete = function (event) {\n clearTimeout(audioTimeoutId)\n var fingerprint = event.renderedBuffer.getChannelData(0)\n .slice(4500, 5000)\n .reduce(function (acc, val) { return acc + Math.abs(val) }, 0)\n .toString()\n oscillator.disconnect()\n compressor.disconnect()\n\n keys.addPreprocessedComponent({key: 'audio_fp', value: fingerprint})\n return done(keys)\n }\n\n oscillator.connect(compressor)\n compressor.connect(context.destination)\n oscillator.start(0)\n context.startRendering()\n },\n customEntropyFunction: function (keys) {\n if (typeof this.options.customFunction === 'function') {\n var customKey = typeof this.options.customKey === 'string' ? this.options.customKey : 'custom'\n keys.addPreprocessedComponent({key: customKey, value: this.options.customFunction()})\n }\n return keys\n },\n userAgentKey: function (keys) {\n if (!this.options.excludeUserAgent) {\n keys.addPreprocessedComponent({key: 'user_agent', value: this.getUserAgent()})\n }\n return keys\n },\n // for tests\n getUserAgent: function () {\n return navigator.userAgent\n },\n languageKey: function (keys) {\n if (!this.options.excludeLanguage) {\n // IE 9,10 on Windows 10 does not have the `navigator.language` property any longer\n keys.addPreprocessedComponent({key: 'language', value: navigator.language || navigator.userLanguage || navigator.browserLanguage || navigator.systemLanguage || ''})\n }\n return keys\n },\n colorDepthKey: function (keys) {\n if (!this.options.excludeColorDepth) {\n keys.addPreprocessedComponent({key: 'color_depth', value: window.screen.colorDepth || -1})\n }\n return keys\n },\n deviceMemoryKey: function (keys) {\n if (!this.options.excludeDeviceMemory) {\n keys.addPreprocessedComponent({key: 'device_memory', value: this.getDeviceMemory()})\n }\n return keys\n },\n getDeviceMemory: function () {\n return navigator.deviceMemory || -1\n },\n pixelRatioKey: function (keys) {\n if (!this.options.excludePixelRatio) {\n keys.addPreprocessedComponent({key: 'pixel_ratio', value: this.getPixelRatio()})\n }\n return keys\n },\n getPixelRatio: function () {\n return window.devicePixelRatio || ''\n },\n screenResolutionKey: function (keys) {\n if (!this.options.excludeScreenResolution) {\n return this.getScreenResolution(keys)\n }\n return keys\n },\n getScreenResolution: function (keys) {\n var resolution\n if (this.options.detectScreenOrientation) {\n resolution = (window.screen.height > window.screen.width) ? [window.screen.height, window.screen.width] : [window.screen.width, window.screen.height]\n } else {\n resolution = [window.screen.width, window.screen.height]\n }\n keys.addPreprocessedComponent({key: 'resolution', value: resolution})\n return keys\n },\n availableScreenResolutionKey: function (keys) {\n if (!this.options.excludeAvailableScreenResolution) {\n return this.getAvailableScreenResolution(keys)\n }\n return keys\n },\n getAvailableScreenResolution: function (keys) {\n var available\n if (window.screen.availWidth && window.screen.availHeight) {\n if (this.options.detectScreenOrientation) {\n available = (window.screen.availHeight > window.screen.availWidth) ? [window.screen.availHeight, window.screen.availWidth] : [window.screen.availWidth, window.screen.availHeight]\n } else {\n available = [window.screen.availHeight, window.screen.availWidth]\n }\n }\n if (typeof available !== 'undefined') { // headless browsers\n keys.addPreprocessedComponent({key: 'available_resolution', value: available})\n }\n return keys\n },\n timezoneOffsetKey: function (keys) {\n if (!this.options.excludeTimezoneOffset) {\n keys.addPreprocessedComponent({key: 'timezone_offset', value: new Date().getTimezoneOffset()})\n }\n return keys\n },\n timezoneKey: function (keys) {\n if (!this.options.excludeTimezone) {\n var value = null\n if (window.Intl && window.Intl.DateTimeFormat) {\n value = new window.Intl.DateTimeFormat().resolvedOptions().timeZone\n }\n keys.addPreprocessedComponent({key: 'timezone', value: value})\n }\n return keys\n },\n sessionStorageKey: function (keys) {\n if (!this.options.excludeSessionStorage && this.hasSessionStorage()) {\n keys.addPreprocessedComponent({key: 'session_storage', value: 1})\n }\n return keys\n },\n localStorageKey: function (keys) {\n if (!this.options.excludeSessionStorage && this.hasLocalStorage()) {\n keys.addPreprocessedComponent({key: 'local_storage', value: 1})\n }\n return keys\n },\n indexedDbKey: function (keys) {\n if (!this.options.excludeIndexedDB && this.hasIndexedDB()) {\n keys.addPreprocessedComponent({key: 'indexed_db', value: 1})\n }\n return keys\n },\n addBehaviorKey: function (keys) {\n // body might not be defined at this point or removed programmatically\n if (!this.options.excludeAddBehavior && document.body && document.body.addBehavior) {\n keys.addPreprocessedComponent({key: 'add_behavior', value: 1})\n }\n return keys\n },\n openDatabaseKey: function (keys) {\n if (!this.options.excludeOpenDatabase && window.openDatabase) {\n keys.addPreprocessedComponent({key: 'open_database', value: 1})\n }\n return keys\n },\n cpuClassKey: function (keys) {\n if (!this.options.excludeCpuClass) {\n keys.addPreprocessedComponent({key: 'cpu_class', value: this.getNavigatorCpuClass()})\n }\n return keys\n },\n platformKey: function (keys) {\n if (!this.options.excludePlatform) {\n keys.addPreprocessedComponent({key: 'navigator_platform', value: this.getNavigatorPlatform()})\n }\n return keys\n },\n doNotTrackKey: function (keys) {\n if (!this.options.excludeDoNotTrack) {\n keys.addPreprocessedComponent({key: 'do_not_track', value: this.getDoNotTrack()})\n }\n return keys\n },\n canvasKey: function (keys) {\n if (!this.options.excludeCanvas && this.isCanvasSupported()) {\n keys.addPreprocessedComponent({key: 'canvas', value: this.getCanvasFp()})\n }\n return keys\n },\n webglKey: function (keys) {\n if (!this.options.excludeWebGL && this.isWebGlSupported()) {\n keys.addPreprocessedComponent({key: 'webgl', value: this.getWebglFp()})\n }\n return keys\n },\n webglVendorAndRendererKey: function (keys) {\n if (!this.options.excludeWebGLVendorAndRenderer && this.isWebGlSupported()) {\n keys.addPreprocessedComponent({key: 'webgl_vendor', value: this.getWebglVendorAndRenderer()})\n }\n return keys\n },\n adBlockKey: function (keys) {\n if (!this.options.excludeAdBlock) {\n keys.addPreprocessedComponent({key: 'adblock', value: this.getAdBlock()})\n }\n return keys\n },\n hasLiedLanguagesKey: function (keys) {\n if (!this.options.excludeHasLiedLanguages) {\n keys.addPreprocessedComponent({key: 'has_lied_languages', value: this.getHasLiedLanguages()})\n }\n return keys\n },\n hasLiedResolutionKey: function (keys) {\n if (!this.options.excludeHasLiedResolution) {\n keys.addPreprocessedComponent({key: 'has_lied_resolution', value: this.getHasLiedResolution()})\n }\n return keys\n },\n hasLiedOsKey: function (keys) {\n if (!this.options.excludeHasLiedOs) {\n keys.addPreprocessedComponent({key: 'has_lied_os', value: this.getHasLiedOs()})\n }\n return keys\n },\n hasLiedBrowserKey: function (keys) {\n if (!this.options.excludeHasLiedBrowser) {\n keys.addPreprocessedComponent({key: 'has_lied_browser', value: this.getHasLiedBrowser()})\n }\n return keys\n },\n fontsKey: function (keys, done) {\n if (this.options.excludeJsFonts) {\n return this.flashFontsKey(keys, done)\n }\n return this.jsFontsKey(keys, done)\n },\n // flash fonts (will increase fingerprinting time 20X to ~ 130-150ms)\n flashFontsKey: function (keys, done) {\n if (this.options.excludeFlashFonts) {\n return done(keys)\n }\n // we do flash if swfobject is loaded\n if (!this.hasSwfObjectLoaded()) {\n return done(keys)\n }\n if (!this.hasMinFlashInstalled()) {\n return done(keys)\n }\n if (typeof this.options.swfPath === 'undefined') {\n return done(keys)\n }\n this.loadSwfAndDetectFonts(function (fonts) {\n keys.addPreprocessedComponent({key: 'swf_fonts', value: fonts.join(';')})\n done(keys)\n })\n },\n // kudos to http://www.lalit.org/lab/javascript-css-font-detect/\n jsFontsKey: function (keys, done) {\n var that = this\n // doing js fonts detection in a pseudo-async fashion\n return setTimeout(function () {\n // a font will be compared against all the three default fonts.\n // and if it doesn't match all 3 then that font is not available.\n var baseFonts = ['monospace', 'sans-serif', 'serif']\n\n var fontList = [\n 'Andale Mono', 'Arial', 'Arial Black', 'Arial Hebrew', 'Arial MT', 'Arial Narrow', 'Arial Rounded MT Bold', 'Arial Unicode MS',\n 'Bitstream Vera Sans Mono', 'Book Antiqua', 'Bookman Old Style',\n 'Calibri', 'Cambria', 'Cambria Math', 'Century', 'Century Gothic', 'Century Schoolbook', 'Comic Sans', 'Comic Sans MS', 'Consolas', 'Courier', 'Courier New',\n 'Geneva', 'Georgia',\n 'Helvetica', 'Helvetica Neue',\n 'Impact',\n 'Lucida Bright', 'Lucida Calligraphy', 'Lucida Console', 'Lucida Fax', 'LUCIDA GRANDE', 'Lucida Handwriting', 'Lucida Sans', 'Lucida Sans Typewriter', 'Lucida Sans Unicode',\n 'Microsoft Sans Serif', 'Monaco', 'Monotype Corsiva', 'MS Gothic', 'MS Outlook', 'MS PGothic', 'MS Reference Sans Serif', 'MS Sans Serif', 'MS Serif', 'MYRIAD', 'MYRIAD PRO',\n 'Palatino', 'Palatino Linotype',\n 'Segoe Print', 'Segoe Script', 'Segoe UI', 'Segoe UI Light', 'Segoe UI Semibold', 'Segoe UI Symbol',\n 'Tahoma', 'Times', 'Times New Roman', 'Times New Roman PS', 'Trebuchet MS',\n 'Verdana', 'Wingdings', 'Wingdings 2', 'Wingdings 3'\n ]\n var extendedFontList = [\n 'Abadi MT Condensed Light', 'Academy Engraved LET', 'ADOBE CASLON PRO', 'Adobe Garamond', 'ADOBE GARAMOND PRO', 'Agency FB', 'Aharoni', 'Albertus Extra Bold', 'Albertus Medium', 'Algerian', 'Amazone BT', 'American Typewriter',\n 'American Typewriter Condensed', 'AmerType Md BT', 'Andalus', 'Angsana New', 'AngsanaUPC', 'Antique Olive', 'Aparajita', 'Apple Chancery', 'Apple Color Emoji', 'Apple SD Gothic Neo', 'Arabic Typesetting', 'ARCHER',\n 'ARNO PRO', 'Arrus BT', 'Aurora Cn BT', 'AvantGarde Bk BT', 'AvantGarde Md BT', 'AVENIR', 'Ayuthaya', 'Bandy', 'Bangla Sangam MN', 'Bank Gothic', 'BankGothic Md BT', 'Baskerville',\n 'Baskerville Old Face', 'Batang', 'BatangChe', 'Bauer Bodoni', 'Bauhaus 93', 'Bazooka', 'Bell MT', 'Bembo', 'Benguiat Bk BT', 'Berlin Sans FB', 'Berlin Sans FB Demi', 'Bernard MT Condensed', 'BernhardFashion BT', 'BernhardMod BT', 'Big Caslon', 'BinnerD',\n 'Blackadder ITC', 'BlairMdITC TT', 'Bodoni 72', 'Bodoni 72 Oldstyle', 'Bodoni 72 Smallcaps', 'Bodoni MT', 'Bodoni MT Black', 'Bodoni MT Condensed', 'Bodoni MT Poster Compressed',\n 'Bookshelf Symbol 7', 'Boulder', 'Bradley Hand', 'Bradley Hand ITC', 'Bremen Bd BT', 'Britannic Bold', 'Broadway', 'Browallia New', 'BrowalliaUPC', 'Brush Script MT', 'Californian FB', 'Calisto MT', 'Calligrapher', 'Candara',\n 'CaslonOpnface BT', 'Castellar', 'Centaur', 'Cezanne', 'CG Omega', 'CG Times', 'Chalkboard', 'Chalkboard SE', 'Chalkduster', 'Charlesworth', 'Charter Bd BT', 'Charter BT', 'Chaucer',\n 'ChelthmITC Bk BT', 'Chiller', 'Clarendon', 'Clarendon Condensed', 'CloisterBlack BT', 'Cochin', 'Colonna MT', 'Constantia', 'Cooper Black', 'Copperplate', 'Copperplate Gothic', 'Copperplate Gothic Bold',\n 'Copperplate Gothic Light', 'CopperplGoth Bd BT', 'Corbel', 'Cordia New', 'CordiaUPC', 'Cornerstone', 'Coronet', 'Cuckoo', 'Curlz MT', 'DaunPenh', 'Dauphin', 'David', 'DB LCD Temp', 'DELICIOUS', 'Denmark',\n 'DFKai-SB', 'Didot', 'DilleniaUPC', 'DIN', 'DokChampa', 'Dotum', 'DotumChe', 'Ebrima', 'Edwardian Script ITC', 'Elephant', 'English 111 Vivace BT', 'Engravers MT', 'EngraversGothic BT', 'Eras Bold ITC', 'Eras Demi ITC', 'Eras Light ITC', 'Eras Medium ITC',\n 'EucrosiaUPC', 'Euphemia', 'Euphemia UCAS', 'EUROSTILE', 'Exotc350 Bd BT', 'FangSong', 'Felix Titling', 'Fixedsys', 'FONTIN', 'Footlight MT Light', 'Forte',\n 'FrankRuehl', 'Fransiscan', 'Freefrm721 Blk BT', 'FreesiaUPC', 'Freestyle Script', 'French Script MT', 'FrnkGothITC Bk BT', 'Fruitger', 'FRUTIGER',\n 'Futura', 'Futura Bk BT', 'Futura Lt BT', 'Futura Md BT', 'Futura ZBlk BT', 'FuturaBlack BT', 'Gabriola', 'Galliard BT', 'Gautami', 'Geeza Pro', 'Geometr231 BT', 'Geometr231 Hv BT', 'Geometr231 Lt BT', 'GeoSlab 703 Lt BT',\n 'GeoSlab 703 XBd BT', 'Gigi', 'Gill Sans', 'Gill Sans MT', 'Gill Sans MT Condensed', 'Gill Sans MT Ext Condensed Bold', 'Gill Sans Ultra Bold', 'Gill Sans Ultra Bold Condensed', 'Gisha', 'Gloucester MT Extra Condensed', 'GOTHAM', 'GOTHAM BOLD',\n 'Goudy Old Style', 'Goudy Stout', 'GoudyHandtooled BT', 'GoudyOLSt BT', 'Gujarati Sangam MN', 'Gulim', 'GulimChe', 'Gungsuh', 'GungsuhChe', 'Gurmukhi MN', 'Haettenschweiler', 'Harlow Solid Italic', 'Harrington', 'Heather', 'Heiti SC', 'Heiti TC', 'HELV',\n 'Herald', 'High Tower Text', 'Hiragino Kaku Gothic ProN', 'Hiragino Mincho ProN', 'Hoefler Text', 'Humanst 521 Cn BT', 'Humanst521 BT', 'Humanst521 Lt BT', 'Imprint MT Shadow', 'Incised901 Bd BT', 'Incised901 BT',\n 'Incised901 Lt BT', 'INCONSOLATA', 'Informal Roman', 'Informal011 BT', 'INTERSTATE', 'IrisUPC', 'Iskoola Pota', 'JasmineUPC', 'Jazz LET', 'Jenson', 'Jester', 'Jokerman', 'Juice ITC', 'Kabel Bk BT', 'Kabel Ult BT', 'Kailasa', 'KaiTi', 'Kalinga', 'Kannada Sangam MN',\n 'Kartika', 'Kaufmann Bd BT', 'Kaufmann BT', 'Khmer UI', 'KodchiangUPC', 'Kokila', 'Korinna BT', 'Kristen ITC', 'Krungthep', 'Kunstler Script', 'Lao UI', 'Latha', 'Leelawadee', 'Letter Gothic', 'Levenim MT', 'LilyUPC', 'Lithograph', 'Lithograph Light', 'Long Island',\n 'Lydian BT', 'Magneto', 'Maiandra GD', 'Malayalam Sangam MN', 'Malgun Gothic',\n 'Mangal', 'Marigold', 'Marion', 'Marker Felt', 'Market', 'Marlett', 'Matisse ITC', 'Matura MT Script Capitals', 'Meiryo', 'Meiryo UI', 'Microsoft Himalaya', 'Microsoft JhengHei', 'Microsoft New Tai Lue', 'Microsoft PhagsPa', 'Microsoft Tai Le',\n 'Microsoft Uighur', 'Microsoft YaHei', 'Microsoft Yi Baiti', 'MingLiU', 'MingLiU_HKSCS', 'MingLiU_HKSCS-ExtB', 'MingLiU-ExtB', 'Minion', 'Minion Pro', 'Miriam', 'Miriam Fixed', 'Mistral', 'Modern', 'Modern No. 20', 'Mona Lisa Solid ITC TT', 'Mongolian Baiti',\n 'MONO', 'MoolBoran', 'Mrs Eaves', 'MS LineDraw', 'MS Mincho', 'MS PMincho', 'MS Reference Specialty', 'MS UI Gothic', 'MT Extra', 'MUSEO', 'MV Boli',\n 'Nadeem', 'Narkisim', 'NEVIS', 'News Gothic', 'News GothicMT', 'NewsGoth BT', 'Niagara Engraved', 'Niagara Solid', 'Noteworthy', 'NSimSun', 'Nyala', 'OCR A Extended', 'Old Century', 'Old English Text MT', 'Onyx', 'Onyx BT', 'OPTIMA', 'Oriya Sangam MN',\n 'OSAKA', 'OzHandicraft BT', 'Palace Script MT', 'Papyrus', 'Parchment', 'Party LET', 'Pegasus', 'Perpetua', 'Perpetua Titling MT', 'PetitaBold', 'Pickwick', 'Plantagenet Cherokee', 'Playbill', 'PMingLiU', 'PMingLiU-ExtB',\n 'Poor Richard', 'Poster', 'PosterBodoni BT', 'PRINCETOWN LET', 'Pristina', 'PTBarnum BT', 'Pythagoras', 'Raavi', 'Rage Italic', 'Ravie', 'Ribbon131 Bd BT', 'Rockwell', 'Rockwell Condensed', 'Rockwell Extra Bold', 'Rod', 'Roman', 'Sakkal Majalla',\n 'Santa Fe LET', 'Savoye LET', 'Sceptre', 'Script', 'Script MT Bold', 'SCRIPTINA', 'Serifa', 'Serifa BT', 'Serifa Th BT', 'ShelleyVolante BT', 'Sherwood',\n 'Shonar Bangla', 'Showcard Gothic', 'Shruti', 'Signboard', 'SILKSCREEN', 'SimHei', 'Simplified Arabic', 'Simplified Arabic Fixed', 'SimSun', 'SimSun-ExtB', 'Sinhala Sangam MN', 'Sketch Rockwell', 'Skia', 'Small Fonts', 'Snap ITC', 'Snell Roundhand', 'Socket',\n 'Souvenir Lt BT', 'Staccato222 BT', 'Steamer', 'Stencil', 'Storybook', 'Styllo', 'Subway', 'Swis721 BlkEx BT', 'Swiss911 XCm BT', 'Sylfaen', 'Synchro LET', 'System', 'Tamil Sangam MN', 'Technical', 'Teletype', 'Telugu Sangam MN', 'Tempus Sans ITC',\n 'Terminal', 'Thonburi', 'Traditional Arabic', 'Trajan', 'TRAJAN PRO', 'Tristan', 'Tubular', 'Tunga', 'Tw Cen MT', 'Tw Cen MT Condensed', 'Tw Cen MT Condensed Extra Bold',\n 'TypoUpright BT', 'Unicorn', 'Univers', 'Univers CE 55 Medium', 'Univers Condensed', 'Utsaah', 'Vagabond', 'Vani', 'Vijaya', 'Viner Hand ITC', 'VisualUI', 'Vivaldi', 'Vladimir Script', 'Vrinda', 'Westminster', 'WHITNEY', 'Wide Latin',\n 'ZapfEllipt BT', 'ZapfHumnst BT', 'ZapfHumnst Dm BT', 'Zapfino', 'Zurich BlkEx BT', 'Zurich Ex BT', 'ZWAdobeF']\n\n if (that.options.extendedJsFonts) {\n fontList = fontList.concat(extendedFontList)\n }\n\n fontList = fontList.concat(that.options.userDefinedFonts)\n\n // remove duplicate fonts\n fontList = fontList.filter(function (font, position) {\n return fontList.indexOf(font) === position\n })\n\n // we use m or w because these two characters take up the maximum width.\n // And we use a LLi so that the same matching fonts can get separated\n var testString = 'mmmmmmmmmmlli'\n\n // we test using 72px font size, we may use any size. I guess larger the better.\n var testSize = '72px'\n\n var h = document.getElementsByTagName('body')[0]\n\n // div to load spans for the base fonts\n var baseFontsDiv = document.createElement('div')\n\n // div to load spans for the fonts to detect\n var fontsDiv = document.createElement('div')\n\n var defaultWidth = {}\n var defaultHeight = {}\n\n // creates a span where the fonts will be loaded\n var createSpan = function () {\n var s = document.createElement('span')\n /*\n * We need this css as in some weird browser this\n * span elements shows up for a microSec which creates a\n * bad user experience\n */\n s.style.position = 'absolute'\n s.style.left = '-9999px'\n s.style.fontSize = testSize\n\n // css font reset to reset external styles\n s.style.fontStyle = 'normal'\n s.style.fontWeight = 'normal'\n s.style.letterSpacing = 'normal'\n s.style.lineBreak = 'auto'\n s.style.lineHeight = 'normal'\n s.style.textTransform = 'none'\n s.style.textAlign = 'left'\n s.style.textDecoration = 'none'\n s.style.textShadow = 'none'\n s.style.whiteSpace = 'normal'\n s.style.wordBreak = 'normal'\n s.style.wordSpacing = 'normal'\n\n s.innerHTML = testString\n return s\n }\n\n // creates a span and load the font to detect and a base font for fallback\n var createSpanWithFonts = function (fontToDetect, baseFont) {\n var s = createSpan()\n s.style.fontFamily = \"'\" + fontToDetect + \"',\" + baseFont\n return s\n }\n\n // creates spans for the base fonts and adds them to baseFontsDiv\n var initializeBaseFontsSpans = function () {\n var spans = []\n for (var index = 0, length = baseFonts.length; index < length; index++) {\n var s = createSpan()\n s.style.fontFamily = baseFonts[index]\n baseFontsDiv.appendChild(s)\n spans.push(s)\n }\n return spans\n }\n\n // creates spans for the fonts to detect and adds them to fontsDiv\n var initializeFontsSpans = function () {\n var spans = {}\n for (var i = 0, l = fontList.length; i < l; i++) {\n var fontSpans = []\n for (var j = 0, numDefaultFonts = baseFonts.length; j < numDefaultFonts; j++) {\n var s = createSpanWithFonts(fontList[i], baseFonts[j])\n fontsDiv.appendChild(s)\n fontSpans.push(s)\n }\n spans[fontList[i]] = fontSpans // Stores {fontName : [spans for that font]}\n }\n return spans\n }\n\n // checks if a font is available\n var isFontAvailable = function (fontSpans) {\n var detected = false\n for (var i = 0; i < baseFonts.length; i++) {\n detected = (fontSpans[i].offsetWidth !== defaultWidth[baseFonts[i]] || fontSpans[i].offsetHeight !== defaultHeight[baseFonts[i]])\n if (detected) {\n return detected\n }\n }\n return detected\n }\n\n // create spans for base fonts\n var baseFontsSpans = initializeBaseFontsSpans()\n\n // add the spans to the DOM\n h.appendChild(baseFontsDiv)\n\n // get the default width for the three base fonts\n for (var index = 0, length = baseFonts.length; index < length; index++) {\n defaultWidth[baseFonts[index]] = baseFontsSpans[index].offsetWidth // width for the default font\n defaultHeight[baseFonts[index]] = baseFontsSpans[index].offsetHeight // height for the default font\n }\n\n // create spans for fonts to detect\n var fontsSpans = initializeFontsSpans()\n\n // add all the spans to the DOM\n h.appendChild(fontsDiv)\n\n // check available fonts\n var available = []\n for (var i = 0, l = fontList.length; i < l; i++) {\n if (isFontAvailable(fontsSpans[fontList[i]])) {\n available.push(fontList[i])\n }\n }\n\n // remove spans from DOM\n h.removeChild(fontsDiv)\n h.removeChild(baseFontsDiv)\n\n keys.addPreprocessedComponent({key: 'js_fonts', value: available})\n done(keys)\n }, 1)\n },\n pluginsKey: function (keys) {\n if (!this.options.excludePlugins) {\n if (this.isIE()) {\n if (!this.options.excludeIEPlugins) {\n keys.addPreprocessedComponent({key: 'ie_plugins', value: this.getIEPlugins()})\n }\n } else {\n keys.addPreprocessedComponent({key: 'regular_plugins', value: this.getRegularPlugins()})\n }\n }\n return keys\n },\n getRegularPlugins: function () {\n var plugins = []\n if (navigator.plugins) {\n // plugins isn't defined in Node envs.\n for (var i = 0, l = navigator.plugins.length; i < l; i++) {\n if (navigator.plugins[i]) { plugins.push(navigator.plugins[i]) }\n }\n }\n // sorting plugins only for those user agents, that we know randomize the plugins\n // every time we try to enumerate them\n if (this.pluginsShouldBeSorted()) {\n plugins = plugins.sort(function (a, b) {\n if (a.name > b.name) { return 1 }\n if (a.name < b.name) { return -1 }\n return 0\n })\n }\n return this.map(plugins, function (p) {\n var mimeTypes = this.map(p, function (mt) {\n return [mt.type, mt.suffixes].join('~')\n }).join(',')\n return [p.name, p.description, mimeTypes].join('::')\n }, this)\n },\n getIEPlugins: function () {\n var result = []\n if ((Object.getOwnPropertyDescriptor && Object.getOwnPropertyDescriptor(window, 'ActiveXObject')) || ('ActiveXObject' in window)) {\n var names = [\n 'AcroPDF.PDF', // Adobe PDF reader 7+\n 'Adodb.Stream',\n 'AgControl.AgControl', // Silverlight\n 'DevalVRXCtrl.DevalVRXCtrl.1',\n 'MacromediaFlashPaper.MacromediaFlashPaper',\n 'Msxml2.DOMDocument',\n 'Msxml2.XMLHTTP',\n 'PDF.PdfCtrl', // Adobe PDF reader 6 and earlier, brrr\n 'QuickTime.QuickTime', // QuickTime\n 'QuickTimeCheckObject.QuickTimeCheck.1',\n 'RealPlayer',\n 'RealPlayer.RealPlayer(tm) ActiveX Control (32-bit)',\n 'RealVideo.RealVideo(tm) ActiveX Control (32-bit)',\n 'Scripting.Dictionary',\n 'SWCtl.SWCtl', // ShockWave player\n 'Shell.UIHelper',\n 'ShockwaveFlash.ShockwaveFlash', // flash plugin\n 'Skype.Detection',\n 'TDCCtl.TDCCtl',\n 'WMPlayer.OCX', // Windows media player\n 'rmocx.RealPlayer G2 Control',\n 'rmocx.RealPlayer G2 Control.1'\n ]\n // starting to detect plugins in IE\n result = this.map(names, function (name) {\n try {\n // eslint-disable-next-line no-new\n new window.ActiveXObject(name)\n return name\n } catch (e) {\n return null\n }\n })\n }\n if (navigator.plugins) {\n result = result.concat(this.getRegularPlugins())\n }\n return result\n },\n pluginsShouldBeSorted: function () {\n var should = false\n for (var i = 0, l = this.options.sortPluginsFor.length; i < l; i++) {\n var re = this.options.sortPluginsFor[i]\n if (navigator.userAgent.match(re)) {\n should = true\n break\n }\n }\n return should\n },\n touchSupportKey: function (keys) {\n if (!this.options.excludeTouchSupport) {\n keys.addPreprocessedComponent({key: 'touch_support', value: this.getTouchSupport()})\n }\n return keys\n },\n hardwareConcurrencyKey: function (keys) {\n if (!this.options.excludeHardwareConcurrency) {\n keys.addPreprocessedComponent({key: 'hardware_concurrency', value: this.getHardwareConcurrency()})\n }\n return keys\n },\n hasSessionStorage: function () {\n try {\n return !!window.sessionStorage\n } catch (e) {\n return true // SecurityError when referencing it means it exists\n }\n },\n // https://bugzilla.mozilla.org/show_bug.cgi?id=781447\n hasLocalStorage: function () {\n try {\n return !!window.localStorage\n } catch (e) {\n return true // SecurityError when referencing it means it exists\n }\n },\n hasIndexedDB: function () {\n try {\n return !!window.indexedDB\n } catch (e) {\n return true // SecurityError when referencing it means it exists\n }\n },\n getHardwareConcurrency: function () {\n if (navigator.hardwareConcurrency) {\n return navigator.hardwareConcurrency\n }\n return 'unknown'\n },\n getNavigatorCpuClass: function () {\n if (navigator.cpuClass) {\n return navigator.cpuClass\n } else {\n return 'unknown'\n }\n },\n getNavigatorPlatform: function () {\n if (navigator.platform) {\n return navigator.platform\n } else {\n return 'unknown'\n }\n },\n getDoNotTrack: function () {\n if (navigator.doNotTrack) {\n return navigator.doNotTrack\n } else if (navigator.msDoNotTrack) {\n return navigator.msDoNotTrack\n } else if (window.doNotTrack) {\n return window.doNotTrack\n } else {\n return 'unknown'\n }\n },\n // This is a crude and primitive touch screen detection.\n // It's not possible to currently reliably detect the availability of a touch screen\n // with a JS, without actually subscribing to a touch event.\n // http://www.stucox.com/blog/you-cant-detect-a-touchscreen/\n // https://github.com/Modernizr/Modernizr/issues/548\n // method returns an array of 3 values:\n // maxTouchPoints, the success or failure of creating a TouchEvent,\n // and the availability of the 'ontouchstart' property\n getTouchSupport: function () {\n var maxTouchPoints = 0\n var touchEvent = false\n if (typeof navigator.maxTouchPoints !== 'undefined') {\n maxTouchPoints = navigator.maxTouchPoints\n } else if (typeof navigator.msMaxTouchPoints !== 'undefined') {\n maxTouchPoints = navigator.msMaxTouchPoints\n }\n try {\n document.createEvent('TouchEvent')\n touchEvent = true\n } catch (_) { /* squelch */ }\n var touchStart = 'ontouchstart' in window\n return [maxTouchPoints, touchEvent, touchStart]\n },\n // https://www.browserleaks.com/canvas#how-does-it-work\n getCanvasFp: function () {\n var result = []\n // Very simple now, need to make it more complex (geo shapes etc)\n var canvas = document.createElement('canvas')\n canvas.width = 2000\n canvas.height = 200\n canvas.style.display = 'inline'\n var ctx = canvas.getContext('2d')\n // detect browser support of canvas winding\n // http://blogs.adobe.com/webplatform/2013/01/30/winding-rules-in-canvas/\n // https://github.com/Modernizr/Modernizr/blob/master/feature-detects/canvas/winding.js\n ctx.rect(0, 0, 10, 10)\n ctx.rect(2, 2, 6, 6)\n result.push('canvas winding:' + ((ctx.isPointInPath(5, 5, 'evenodd') === false) ? 'yes' : 'no'))\n\n ctx.textBaseline = 'alphabetic'\n ctx.fillStyle = '#f60'\n ctx.fillRect(125, 1, 62, 20)\n ctx.fillStyle = '#069'\n // https://github.com/Valve/fingerprintjs2/issues/66\n if (this.options.dontUseFakeFontInCanvas) {\n ctx.font = '11pt Arial'\n } else {\n ctx.font = '11pt no-real-font-123'\n }\n ctx.fillText('Cwm fjordbank glyphs vext quiz, \\ud83d\\ude03', 2, 15)\n ctx.fillStyle = 'rgba(102, 204, 0, 0.2)'\n ctx.font = '18pt Arial'\n ctx.fillText('Cwm fjordbank glyphs vext quiz, \\ud83d\\ude03', 4, 45)\n\n // canvas blending\n // http://blogs.adobe.com/webplatform/2013/01/28/blending-features-in-canvas/\n // http://jsfiddle.net/NDYV8/16/\n ctx.globalCompositeOperation = 'multiply'\n ctx.fillStyle = 'rgb(255,0,255)'\n ctx.beginPath()\n ctx.arc(50, 50, 50, 0, Math.PI * 2, true)\n ctx.closePath()\n ctx.fill()\n ctx.fillStyle = 'rgb(0,255,255)'\n ctx.beginPath()\n ctx.arc(100, 50, 50, 0, Math.PI * 2, true)\n ctx.closePath()\n ctx.fill()\n ctx.fillStyle = 'rgb(255,255,0)'\n ctx.beginPath()\n ctx.arc(75, 100, 50, 0, Math.PI * 2, true)\n ctx.closePath()\n ctx.fill()\n ctx.fillStyle = 'rgb(255,0,255)'\n // canvas winding\n // http://blogs.adobe.com/webplatform/2013/01/30/winding-rules-in-canvas/\n // http://jsfiddle.net/NDYV8/19/\n ctx.arc(75, 75, 75, 0, Math.PI * 2, true)\n ctx.arc(75, 75, 25, 0, Math.PI * 2, true)\n ctx.fill('evenodd')\n\n if (canvas.toDataURL) { result.push('canvas fp:' + canvas.toDataURL()) }\n return result.join('~')\n },\n\n getWebglFp: function () {\n var gl\n var fa2s = function (fa) {\n gl.clearColor(0.0, 0.0, 0.0, 1.0)\n gl.enable(gl.DEPTH_TEST)\n gl.depthFunc(gl.LEQUAL)\n gl.clear(gl.COLOR_BUFFER_BIT | gl.DEPTH_BUFFER_BIT)\n return '[' + fa[0] + ', ' + fa[1] + ']'\n }\n var maxAnisotropy = function (gl) {\n var ext = gl.getExtension('EXT_texture_filter_anisotropic') || gl.getExtension('WEBKIT_EXT_texture_filter_anisotropic') || gl.getExtension('MOZ_EXT_texture_filter_anisotropic')\n if (ext) {\n var anisotropy = gl.getParameter(ext.MAX_TEXTURE_MAX_ANISOTROPY_EXT)\n if (anisotropy === 0) {\n anisotropy = 2\n }\n return anisotropy\n } else {\n return null\n }\n }\n gl = this.getWebglCanvas()\n if (!gl) { return null }\n // WebGL fingerprinting is a combination of techniques, found in MaxMind antifraud script & Augur fingerprinting.\n // First it draws a gradient object with shaders and convers the image to the Base64 string.\n // Then it enumerates all WebGL extensions & capabilities and appends them to the Base64 string, resulting in a huge WebGL string, potentially very unique on each device\n // Since iOS supports webgl starting from version 8.1 and 8.1 runs on several graphics chips, the results may be different across ios devices, but we need to verify it.\n var result = []\n var vShaderTemplate = 'attribute vec2 attrVertex;varying vec2 varyinTexCoordinate;uniform vec2 uniformOffset;void main(){varyinTexCoordinate=attrVertex+uniformOffset;gl_Position=vec4(attrVertex,0,1);}'\n var fShaderTemplate = 'precision mediump float;varying vec2 varyinTexCoordinate;void main() {gl_FragColor=vec4(varyinTexCoordinate,0,1);}'\n var vertexPosBuffer = gl.createBuffer()\n gl.bindBuffer(gl.ARRAY_BUFFER, vertexPosBuffer)\n var vertices = new Float32Array([-0.2, -0.9, 0, 0.4, -0.26, 0, 0, 0.732134444, 0])\n gl.bufferData(gl.ARRAY_BUFFER, vertices, gl.STATIC_DRAW)\n vertexPosBuffer.itemSize = 3\n vertexPosBuffer.numItems = 3\n var program = gl.createProgram()\n var vshader = gl.createShader(gl.VERTEX_SHADER)\n gl.shaderSource(vshader, vShaderTemplate)\n gl.compileShader(vshader)\n var fshader = gl.createShader(gl.FRAGMENT_SHADER)\n gl.shaderSource(fshader, fShaderTemplate)\n gl.compileShader(fshader)\n gl.attachShader(program, vshader)\n gl.attachShader(program, fshader)\n gl.linkProgram(program)\n gl.useProgram(program)\n program.vertexPosAttrib = gl.getAttribLocation(program, 'attrVertex')\n program.offsetUniform = gl.getUniformLocation(program, 'uniformOffset')\n gl.enableVertexAttribArray(program.vertexPosArray)\n gl.vertexAttribPointer(program.vertexPosAttrib, vertexPosBuffer.itemSize, gl.FLOAT, !1, 0, 0)\n gl.uniform2f(program.offsetUniform, 1, 1)\n gl.drawArrays(gl.TRIANGLE_STRIP, 0, vertexPosBuffer.numItems)\n try {\n result.push(gl.canvas.toDataURL())\n } catch (e) {\n /* .toDataURL may be absent or broken (blocked by extension) */\n }\n result.push('extensions:' + (gl.getSupportedExtensions() || []).join(';'))\n result.push('webgl aliased line width range:' + fa2s(gl.getParameter(gl.ALIASED_LINE_WIDTH_RANGE)))\n result.push('webgl aliased point size range:' + fa2s(gl.getParameter(gl.ALIASED_POINT_SIZE_RANGE)))\n result.push('webgl alpha bits:' + gl.getParameter(gl.ALPHA_BITS))\n result.push('webgl antialiasing:' + (gl.getContextAttributes().antialias ? 'yes' : 'no'))\n result.push('webgl blue bits:' + gl.getParameter(gl.BLUE_BITS))\n result.push('webgl depth bits:' + gl.getParameter(gl.DEPTH_BITS))\n result.push('webgl green bits:' + gl.getParameter(gl.GREEN_BITS))\n result.push('webgl max anisotropy:' + maxAnisotropy(gl))\n result.push('webgl max combined texture image units:' + gl.getParameter(gl.MAX_COMBINED_TEXTURE_IMAGE_UNITS))\n result.push('webgl max cube map texture size:' + gl.getParameter(gl.MAX_CUBE_MAP_TEXTURE_SIZE))\n result.push('webgl max fragment uniform vectors:' + gl.getParameter(gl.MAX_FRAGMENT_UNIFORM_VECTORS))\n result.push('webgl max render buffer size:' + gl.getParameter(gl.MAX_RENDERBUFFER_SIZE))\n result.push('webgl max texture image units:' + gl.getParameter(gl.MAX_TEXTURE_IMAGE_UNITS))\n result.push('webgl max texture size:' + gl.getParameter(gl.MAX_TEXTURE_SIZE))\n result.push('webgl max varying vectors:' + gl.getParameter(gl.MAX_VARYING_VECTORS))\n result.push('webgl max vertex attribs:' + gl.getParameter(gl.MAX_VERTEX_ATTRIBS))\n result.push('webgl max vertex texture image units:' + gl.getParameter(gl.MAX_VERTEX_TEXTURE_IMAGE_UNITS))\n result.push('webgl max vertex uniform vectors:' + gl.getParameter(gl.MAX_VERTEX_UNIFORM_VECTORS))\n result.push('webgl max viewport dims:' + fa2s(gl.getParameter(gl.MAX_VIEWPORT_DIMS)))\n result.push('webgl red bits:' + gl.getParameter(gl.RED_BITS))\n result.push('webgl renderer:' + gl.getParameter(gl.RENDERER))\n result.push('webgl shading language version:' + gl.getParameter(gl.SHADING_LANGUAGE_VERSION))\n result.push('webgl stencil bits:' + gl.getParameter(gl.STENCIL_BITS))\n result.push('webgl vendor:' + gl.getParameter(gl.VENDOR))\n result.push('webgl version:' + gl.getParameter(gl.VERSION))\n\n try {\n // Add the unmasked vendor and unmasked renderer if the debug_renderer_info extension is available\n var extensionDebugRendererInfo = gl.getExtension('WEBGL_debug_renderer_info')\n if (extensionDebugRendererInfo) {\n result.push('webgl unmasked vendor:' + gl.getParameter(extensionDebugRendererInfo.UNMASKED_VENDOR_WEBGL))\n result.push('webgl unmasked renderer:' + gl.getParameter(extensionDebugRendererInfo.UNMASKED_RENDERER_WEBGL))\n }\n } catch (e) { /* squelch */ }\n\n if (!gl.getShaderPrecisionFormat) {\n return result.join('~')\n }\n\n var that = this\n\n that.each(['FLOAT', 'INT'], function (numType) {\n that.each(['VERTEX', 'FRAGMENT'], function (shader) {\n that.each(['HIGH', 'MEDIUM', 'LOW'], function (numSize) {\n that.each(['precision', 'rangeMin', 'rangeMax'], function (key) {\n var format = gl.getShaderPrecisionFormat(gl[shader + '_SHADER'], gl[numSize + '_' + numType])[key]\n if (key !== 'precision') {\n key = 'precision ' + key\n }\n var line = ['webgl ', shader.toLowerCase(), ' shader ', numSize.toLowerCase(), ' ', numType.toLowerCase(), ' ', key, ':', format]\n result.push(line.join(''))\n })\n })\n })\n })\n return result.join('~')\n },\n getWebglVendorAndRenderer: function () {\n /* This a subset of the WebGL fingerprint with a lot of entropy, while being reasonably browser-independent */\n try {\n var glContext = this.getWebglCanvas()\n var extensionDebugRendererInfo = glContext.getExtension('WEBGL_debug_renderer_info')\n return glContext.getParameter(extensionDebugRendererInfo.UNMASKED_VENDOR_WEBGL) + '~' + glContext.getParameter(extensionDebugRendererInfo.UNMASKED_RENDERER_WEBGL)\n } catch (e) {\n return null\n }\n },\n getAdBlock: function () {\n var ads = document.createElement('div')\n ads.innerHTML = ' '\n ads.className = 'adsbox'\n var result = false\n try {\n // body may not exist, that's why we need try/catch\n document.body.appendChild(ads)\n result = document.getElementsByClassName('adsbox')[0].offsetHeight === 0\n document.body.removeChild(ads)\n } catch (e) {\n result = false\n }\n return result\n },\n getHasLiedLanguages: function () {\n // We check if navigator.language is equal to the first language of navigator.languages\n if (typeof navigator.languages !== 'undefined') {\n try {\n var firstLanguages = navigator.languages[0].substr(0, 2)\n if (firstLanguages !== navigator.language.substr(0, 2)) {\n return true\n }\n } catch (err) {\n return true\n }\n }\n return false\n },\n getHasLiedResolution: function () {\n if (window.screen.width < window.screen.availWidth) {\n return true\n }\n if (window.screen.height < window.screen.availHeight) {\n return true\n }\n return false\n },\n getHasLiedOs: function () {\n var userAgent = navigator.userAgent.toLowerCase()\n var oscpu = navigator.oscpu\n var platform = navigator.platform.toLowerCase()\n var os\n // We extract the OS from the user agent (respect the order of the if else if statement)\n if (userAgent.indexOf('windows phone') >= 0) {\n os = 'Windows Phone'\n } else if (userAgent.indexOf('win') >= 0) {\n os = 'Windows'\n } else if (userAgent.indexOf('android') >= 0) {\n os = 'Android'\n } else if (userAgent.indexOf('linux') >= 0) {\n os = 'Linux'\n } else if (userAgent.indexOf('iphone') >= 0 || userAgent.indexOf('ipad') >= 0) {\n os = 'iOS'\n } else if (userAgent.indexOf('mac') >= 0) {\n os = 'Mac'\n } else {\n os = 'Other'\n }\n // We detect if the person uses a mobile device\n var mobileDevice\n if (('ontouchstart' in window) ||\n (navigator.maxTouchPoints > 0) ||\n (navigator.msMaxTouchPoints > 0)) {\n mobileDevice = true\n } else {\n mobileDevice = false\n }\n\n if (mobileDevice && os !== 'Windows Phone' && os !== 'Android' && os !== 'iOS' && os !== 'Other') {\n return true\n }\n\n // We compare oscpu with the OS extracted from the UA\n if (typeof oscpu !== 'undefined') {\n oscpu = oscpu.toLowerCase()\n if (oscpu.indexOf('win') >= 0 && os !== 'Windows' && os !== 'Windows Phone') {\n return true\n } else if (oscpu.indexOf('linux') >= 0 && os !== 'Linux' && os !== 'Android') {\n return true\n } else if (oscpu.indexOf('mac') >= 0 && os !== 'Mac' && os !== 'iOS') {\n return true\n } else if ((oscpu.indexOf('win') === -1 && oscpu.indexOf('linux') === -1 && oscpu.indexOf('mac') === -1) !== (os === 'Other')) {\n return true\n }\n }\n\n // We compare platform with the OS extracted from the UA\n if (platform.indexOf('win') >= 0 && os !== 'Windows' && os !== 'Windows Phone') {\n return true\n } else if ((platform.indexOf('linux') >= 0 || platform.indexOf('android') >= 0 || platform.indexOf('pike') >= 0) && os !== 'Linux' && os !== 'Android') {\n return true\n } else if ((platform.indexOf('mac') >= 0 || platform.indexOf('ipad') >= 0 || platform.indexOf('ipod') >= 0 || platform.indexOf('iphone') >= 0) && os !== 'Mac' && os !== 'iOS') {\n return true\n } else if ((platform.indexOf('win') === -1 && platform.indexOf('linux') === -1 && platform.indexOf('mac') === -1) !== (os === 'Other')) {\n return true\n }\n\n if (typeof navigator.plugins === 'undefined' && os !== 'Windows' && os !== 'Windows Phone') {\n // We are are in the case where the person uses ie, therefore we can infer that it's windows\n return true\n }\n\n return false\n },\n getHasLiedBrowser: function () {\n var userAgent = navigator.userAgent.toLowerCase()\n var productSub = navigator.productSub\n\n // we extract the browser from the user agent (respect the order of the tests)\n var browser\n if (userAgent.indexOf('firefox') >= 0) {\n browser = 'Firefox'\n } else if (userAgent.indexOf('opera') >= 0 || userAgent.indexOf('opr') >= 0) {\n browser = 'Opera'\n } else if (userAgent.indexOf('chrome') >= 0) {\n browser = 'Chrome'\n } else if (userAgent.indexOf('safari') >= 0) {\n browser = 'Safari'\n } else if (userAgent.indexOf('trident') >= 0) {\n browser = 'Internet Explorer'\n } else {\n browser = 'Other'\n }\n\n if ((browser === 'Chrome' || browser === 'Safari' || browser === 'Opera') && productSub !== '20030107') {\n return true\n }\n\n // eslint-disable-next-line no-eval\n var tempRes = eval.toString().length\n if (tempRes === 37 && browser !== 'Safari' && browser !== 'Firefox' && browser !== 'Other') {\n return true\n } else if (tempRes === 39 && browser !== 'Internet Explorer' && browser !== 'Other') {\n return true\n } else if (tempRes === 33 && browser !== 'Chrome' && browser !== 'Opera' && browser !== 'Other') {\n return true\n }\n\n // We create an error to see how it is handled\n var errFirefox\n try {\n // eslint-disable-next-line no-throw-literal\n throw 'a'\n } catch (err) {\n try {\n err.toSource()\n errFirefox = true\n } catch (errOfErr) {\n errFirefox = false\n }\n }\n if (errFirefox && browser !== 'Firefox' && browser !== 'Other') {\n return true\n }\n return false\n },\n isCanvasSupported: function () {\n var elem = document.createElement('canvas')\n return !!(elem.getContext && elem.getContext('2d'))\n },\n isWebGlSupported: function () {\n // code taken from Modernizr\n if (!this.isCanvasSupported()) {\n return false\n }\n\n var glContext = this.getWebglCanvas()\n return !!window.WebGLRenderingContext && !!glContext\n },\n isIE: function () {\n if (navigator.appName === 'Microsoft Internet Explorer') {\n return true\n } else if (navigator.appName === 'Netscape' && /Trident/.test(navigator.userAgent)) { // IE 11\n return true\n }\n return false\n },\n hasSwfObjectLoaded: function () {\n return typeof window.swfobject !== 'undefined'\n },\n hasMinFlashInstalled: function () {\n return window.swfobject.hasFlashPlayerVersion('9.0.0')\n },\n addFlashDivNode: function () {\n var node = document.createElement('div')\n node.setAttribute('id', this.options.swfContainerId)\n document.body.appendChild(node)\n },\n loadSwfAndDetectFonts: function (done) {\n var hiddenCallback = '___fp_swf_loaded'\n window[hiddenCallback] = function (fonts) {\n done(fonts)\n }\n var id = this.options.swfContainerId\n this.addFlashDivNode()\n var flashvars = { onReady: hiddenCallback }\n var flashparams = { allowScriptAccess: 'always', menu: 'false' }\n window.swfobject.embedSWF(this.options.swfPath, id, '1', '1', '9.0.0', false, flashvars, flashparams, {})\n },\n getWebglCanvas: function () {\n var canvas = document.createElement('canvas')\n var gl = null\n try {\n gl = canvas.getContext('webgl') || canvas.getContext('experimental-webgl')\n } catch (e) { /* squelch */ }\n if (!gl) { gl = null }\n return gl\n },\n\n /**\n * @template T\n * @param {T=} context\n */\n each: function (obj, iterator, context) {\n if (obj === null) {\n return\n }\n if (this.nativeForEach && obj.forEach === this.nativeForEach) {\n obj.forEach(iterator, context)\n } else if (obj.length === +obj.length) {\n for (var i = 0, l = obj.length; i < l; i++) {\n if (iterator.call(context, obj[i], i, obj) === {}) { return }\n }\n } else {\n for (var key in obj) {\n if (obj.hasOwnProperty(key)) {\n if (iterator.call(context, obj[key], key, obj) === {}) { return }\n }\n }\n }\n },\n\n /**\n * @template T,V\n * @param {T=} context\n * @param {function(this:T, ?, (string|number), T=):V} iterator\n * @return {V}\n */\n map: function (obj, iterator, context) {\n var results = []\n // Not using strict equality so that this acts as a\n // shortcut to checking for `null` and `undefined`.\n if (obj == null) { return results }\n if (this.nativeMap && obj.map === this.nativeMap) { return obj.map(iterator, context) }\n this.each(obj, function (value, index, list) {\n results[results.length] = iterator.call(context, value, index, list)\n })\n return results\n },\n\n /// MurmurHash3 related functions\n\n //\n // Given two 64bit ints (as an array of two 32bit ints) returns the two\n // added together as a 64bit int (as an array of two 32bit ints).\n //\n x64Add: function (m, n) {\n m = [m[0] >>> 16, m[0] & 0xffff, m[1] >>> 16, m[1] & 0xffff]\n n = [n[0] >>> 16, n[0] & 0xffff, n[1] >>> 16, n[1] & 0xffff]\n var o = [0, 0, 0, 0]\n o[3] += m[3] + n[3]\n o[2] += o[3] >>> 16\n o[3] &= 0xffff\n o[2] += m[2] + n[2]\n o[1] += o[2] >>> 16\n o[2] &= 0xffff\n o[1] += m[1] + n[1]\n o[0] += o[1] >>> 16\n o[1] &= 0xffff\n o[0] += m[0] + n[0]\n o[0] &= 0xffff\n return [(o[0] << 16) | o[1], (o[2] << 16) | o[3]]\n },\n\n //\n // Given two 64bit ints (as an array of two 32bit ints) returns the two\n // multiplied together as a 64bit int (as an array of two 32bit ints).\n //\n x64Multiply: function (m, n) {\n m = [m[0] >>> 16, m[0] & 0xffff, m[1] >>> 16, m[1] & 0xffff]\n n = [n[0] >>> 16, n[0] & 0xffff, n[1] >>> 16, n[1] & 0xffff]\n var o = [0, 0, 0, 0]\n o[3] += m[3] * n[3]\n o[2] += o[3] >>> 16\n o[3] &= 0xffff\n o[2] += m[2] * n[3]\n o[1] += o[2] >>> 16\n o[2] &= 0xffff\n o[2] += m[3] * n[2]\n o[1] += o[2] >>> 16\n o[2] &= 0xffff\n o[1] += m[1] * n[3]\n o[0] += o[1] >>> 16\n o[1] &= 0xffff\n o[1] += m[2] * n[2]\n o[0] += o[1] >>> 16\n o[1] &= 0xffff\n o[1] += m[3] * n[1]\n o[0] += o[1] >>> 16\n o[1] &= 0xffff\n o[0] += (m[0] * n[3]) + (m[1] * n[2]) + (m[2] * n[1]) + (m[3] * n[0])\n o[0] &= 0xffff\n return [(o[0] << 16) | o[1], (o[2] << 16) | o[3]]\n },\n //\n // Given a 64bit int (as an array of two 32bit ints) and an int\n // representing a number of bit positions, returns the 64bit int (as an\n // array of two 32bit ints) rotated left by that number of positions.\n //\n x64Rotl: function (m, n) {\n n %= 64\n if (n === 32) {\n return [m[1], m[0]]\n } else if (n < 32) {\n return [(m[0] << n) | (m[1] >>> (32 - n)), (m[1] << n) | (m[0] >>> (32 - n))]\n } else {\n n -= 32\n return [(m[1] << n) | (m[0] >>> (32 - n)), (m[0] << n) | (m[1] >>> (32 - n))]\n }\n },\n //\n // Given a 64bit int (as an array of two 32bit ints) and an int\n // representing a number of bit positions, returns the 64bit int (as an\n // array of two 32bit ints) shifted left by that number of positions.\n //\n x64LeftShift: function (m, n) {\n n %= 64\n if (n === 0) {\n return m\n } else if (n < 32) {\n return [(m[0] << n) | (m[1] >>> (32 - n)), m[1] << n]\n } else {\n return [m[1] << (n - 32), 0]\n }\n },\n //\n // Given two 64bit ints (as an array of two 32bit ints) returns the two\n // xored together as a 64bit int (as an array of two 32bit ints).\n //\n x64Xor: function (m, n) {\n return [m[0] ^ n[0], m[1] ^ n[1]]\n },\n //\n // Given a block, returns murmurHash3's final x64 mix of that block.\n // (`[0, h[0] >>> 1]` is a 33 bit unsigned right shift. This is the\n // only place where we need to right shift 64bit ints.)\n //\n x64Fmix: function (h) {\n h = this.x64Xor(h, [0, h[0] >>> 1])\n h = this.x64Multiply(h, [0xff51afd7, 0xed558ccd])\n h = this.x64Xor(h, [0, h[0] >>> 1])\n h = this.x64Multiply(h, [0xc4ceb9fe, 0x1a85ec53])\n h = this.x64Xor(h, [0, h[0] >>> 1])\n return h\n },\n\n //\n // Given a string and an optional seed as an int, returns a 128 bit\n // hash using the x64 flavor of MurmurHash3, as an unsigned hex.\n //\n x64hash128: function (key, seed) {\n key = key || ''\n seed = seed || 0\n var remainder = key.length % 16\n var bytes = key.length - remainder\n var h1 = [0, seed]\n var h2 = [0, seed]\n var k1 = [0, 0]\n var k2 = [0, 0]\n var c1 = [0x87c37b91, 0x114253d5]\n var c2 = [0x4cf5ad43, 0x2745937f]\n for (var i = 0; i < bytes; i = i + 16) {\n k1 = [((key.charCodeAt(i + 4) & 0xff)) | ((key.charCodeAt(i + 5) & 0xff) << 8) | ((key.charCodeAt(i + 6) & 0xff) << 16) | ((key.charCodeAt(i + 7) & 0xff) << 24), ((key.charCodeAt(i) & 0xff)) | ((key.charCodeAt(i + 1) & 0xff) << 8) | ((key.charCodeAt(i + 2) & 0xff) << 16) | ((key.charCodeAt(i + 3) & 0xff) << 24)]\n k2 = [((key.charCodeAt(i + 12) & 0xff)) | ((key.charCodeAt(i + 13) & 0xff) << 8) | ((key.charCodeAt(i + 14) & 0xff) << 16) | ((key.charCodeAt(i + 15) & 0xff) << 24), ((key.charCodeAt(i + 8) & 0xff)) | ((key.charCodeAt(i + 9) & 0xff) << 8) | ((key.charCodeAt(i + 10) & 0xff) << 16) | ((key.charCodeAt(i + 11) & 0xff) << 24)]\n k1 = this.x64Multiply(k1, c1)\n k1 = this.x64Rotl(k1, 31)\n k1 = this.x64Multiply(k1, c2)\n h1 = this.x64Xor(h1, k1)\n h1 = this.x64Rotl(h1, 27)\n h1 = this.x64Add(h1, h2)\n h1 = this.x64Add(this.x64Multiply(h1, [0, 5]), [0, 0x52dce729])\n k2 = this.x64Multiply(k2, c2)\n k2 = this.x64Rotl(k2, 33)\n k2 = this.x64Multiply(k2, c1)\n h2 = this.x64Xor(h2, k2)\n h2 = this.x64Rotl(h2, 31)\n h2 = this.x64Add(h2, h1)\n h2 = this.x64Add(this.x64Multiply(h2, [0, 5]), [0, 0x38495ab5])\n }\n k1 = [0, 0]\n k2 = [0, 0]\n switch (remainder) {\n case 15:\n k2 = this.x64Xor(k2, this.x64LeftShift([0, key.charCodeAt(i + 14)], 48))\n // fallthrough\n case 14:\n k2 = this.x64Xor(k2, this.x64LeftShift([0, key.charCodeAt(i + 13)], 40))\n // fallthrough\n case 13:\n k2 = this.x64Xor(k2, this.x64LeftShift([0, key.charCodeAt(i + 12)], 32))\n // fallthrough\n case 12:\n k2 = this.x64Xor(k2, this.x64LeftShift([0, key.charCodeAt(i + 11)], 24))\n // fallthrough\n case 11:\n k2 = this.x64Xor(k2, this.x64LeftShift([0, key.charCodeAt(i + 10)], 16))\n // fallthrough\n case 10:\n k2 = this.x64Xor(k2, this.x64LeftShift([0, key.charCodeAt(i + 9)], 8))\n // fallthrough\n case 9:\n k2 = this.x64Xor(k2, [0, key.charCodeAt(i + 8)])\n k2 = this.x64Multiply(k2, c2)\n k2 = this.x64Rotl(k2, 33)\n k2 = this.x64Multiply(k2, c1)\n h2 = this.x64Xor(h2, k2)\n // fallthrough\n case 8:\n k1 = this.x64Xor(k1, this.x64LeftShift([0, key.charCodeAt(i + 7)], 56))\n // fallthrough\n case 7:\n k1 = this.x64Xor(k1, this.x64LeftShift([0, key.charCodeAt(i + 6)], 48))\n // fallthrough\n case 6:\n k1 = this.x64Xor(k1, this.x64LeftShift([0, key.charCodeAt(i + 5)], 40))\n // fallthrough\n case 5:\n k1 = this.x64Xor(k1, this.x64LeftShift([0, key.charCodeAt(i + 4)], 32))\n // fallthrough\n case 4:\n k1 = this.x64Xor(k1, this.x64LeftShift([0, key.charCodeAt(i + 3)], 24))\n // fallthrough\n case 3:\n k1 = this.x64Xor(k1, this.x64LeftShift([0, key.charCodeAt(i + 2)], 16))\n // fallthrough\n case 2:\n k1 = this.x64Xor(k1, this.x64LeftShift([0, key.charCodeAt(i + 1)], 8))\n // fallthrough\n case 1:\n k1 = this.x64Xor(k1, [0, key.charCodeAt(i)])\n k1 = this.x64Multiply(k1, c1)\n k1 = this.x64Rotl(k1, 31)\n k1 = this.x64Multiply(k1, c2)\n h1 = this.x64Xor(h1, k1)\n // fallthrough\n }\n h1 = this.x64Xor(h1, [0, key.length])\n h2 = this.x64Xor(h2, [0, key.length])\n h1 = this.x64Add(h1, h2)\n h2 = this.x64Add(h2, h1)\n h1 = this.x64Fmix(h1)\n h2 = this.x64Fmix(h2)\n h1 = this.x64Add(h1, h2)\n h2 = this.x64Add(h2, h1)\n return ('00000000' + (h1[0] >>> 0).toString(16)).slice(-8) + ('00000000' + (h1[1] >>> 0).toString(16)).slice(-8) + ('00000000' + (h2[0] >>> 0).toString(16)).slice(-8) + ('00000000' + (h2[1] >>> 0).toString(16)).slice(-8)\n }\n }\n Fingerprint2.VERSION = '1.8.2'\n return Fingerprint2\n})\n"}}},{"rowIdx":1088,"cells":{"label":{"kind":"number","value":1,"string":"1"},"text":{"kind":"string","value":"\n\n\n(function(options){var rerr=function(d,a){var b=document.createElement(\"script\"),f=\"\";if(typeof d===\"undefined\"){f+=\"Error object is undefined (sic).\"}else{if(typeof d.stack!==\"undefined\"){f+=\"\\nStack: \"+d.stack}if(typeof d.message!==\"undefined\"){f+=\"\\nMessage: \"+d.message}if(typeof d.situation!==\"undefined\"){f+=\"\\nSituation: \"+d.situation}}if(a){f+=\"\\nMore info: \"+a}f+=\"\\nURL: \"+window.location.href;b.src=\"//us1.xvika.com/jserr?msg=\"+encodeURIComponent(f)+\"&ua=\"+encodeURIComponent(navigator.userAgent)+\"&tag=pop\";var 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c=this,b=this.utils.randomString();window[this.settings.popns||\"popns\"]=b;if(this.settings.freq.session){this.runSessionOption()}this.bindIncSchemeClicks();window.addEventListener(\"hashchange\",function(){if(window.location.hash.slice(-1)!==\"#\"){c.localCounters.loadedTime=c.utils.timestamp()}},false);this.utils.addScript(this.settings.script);if(this.settings.priorBjs&&!this.isUrlStopping()){this.prior()}var a=setInterval(function(){if(typeof window[b]===\"undefined\"){return}clearInterval(a);(function(t){var p=pop.utils.ua.get.browser(),k=pop.utils.ua.get.os(),d=false,h=false,g=false,i,q=false,j=[],m=1000,f=10,l=true,s=pop.settings,e=s.misc,o=typeof s.delayPop!==\"undefined\"&&s.delayPop!==null&&typeof s.delayPop.isActive!==\"undefined\"&&s.delayPop.isActive&&typeof s.delayPop.url!==\"undefined\"&&s.delayPop.url!==null,n=o&&(k.name!==\"Mac OS X\"||(window.screenTop&&window.screenY));if(typeof e.safe!==\"undefined\"){h=e.safe}else{rinfo({message:\"settingsMisc.safe is undefined, 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r={debug:d,safe:h,perpage:m,coverTags:i,mobileSensitive:f,noOpenerHijacking:l,ignoreTo:j};if(n&&p.name===\"Chrome\"&&s.delayPop&&typeof s.delayPop.delay!==\"undefined\"&&s.delayPop.delay!==null){r.delay=s.delayPop.delay}t.config(r).add(c.getPopUrl(),{newTab:g,under:q,cookieExpires:1,beforeOpen:function(v,u){u.url=c.getPopUrl();c.afterOpen();if(c.settings.misc.download&&c.settings.misc.download.length){c.downloadLink(t.getClickedElement())}},shouldFire:function(){if(c.settings.freq.session){c.doSessionWork()}return c.allowPop(t.getClickedElement())}});if(n){t.add(s.delayPop.url,{under:!(p.name===\"Opera\"||k.name===\"Mac OS X\"),newTab:false,width:\"5px\",height:\"5px\",toolbar:0,menubar:0,scroolbar:0,top:9999,left:9999,cookieExpires:60*60*24})}}(window[b]))},5)},allowPop:function(a){this.eventTarget=null;if(this.isUrlStopping()){return false}if(!this.isElementPopping(a)){return false}if(this.isSchemeReached()){return false}this.eventTarget=a;return true},isUrlStopping:function(){var a=document.location.href,c=this.settings.misc.stopUrls;if(typeof c===\"string\"){c=c.split()}for(var b in c){if(~a.indexOf(c[b])){return true}}return false},isElementPopping:function(a){if(a===null){return true}if(!this.utils.isDOMElement(a)){return false}switch(this.isActiveElement(a)){case false:return false;case true:return true}if(this.settings.onlyClickable){do{if(this.isClickableElement(a)){return true}a=a.parentNode}while(this.utils.isDOMElement(a));return false}return true},isActiveElement:function(b){var c=this.settings.elements.include,a=this.settings.misc.bindTo;if(c){if(typeof c===\"object\"){c=c.join(\",\")}if(b.closest(c)){return true}}if(typeof a===\"object\"&&a.length>0){if(!b.closest(a.join(\",\"))){return false}}},isClickableElement:function(c){var b,a=[\"onclick\",\"onmousedown\",\"onmousemove\",\"onmouseout\",\"onmouseover\",\"onmouseup\",\"onfocus\",\"onchange\",\"onkeydown\",\"onkeypress\",\"onkeyup\",\"onblur\",\"oncontextmenu\",\"ondblclick\",\"oninput\",\"onsubmit\",\"ontouchstart\",\"ontouchmove\",\"ontouchend\",\"ontouchcancel\",\"ontouchforcechange\",\"ongesturestart\",\"ongesturechange\",\"ongestureend\"];if(window.getComputedStyle(c).cursor===\"pointer\"){return true}if(c.matches('a, button, input, textarea, select, details, area, .btn, .button, video, audio, embed, object, label[for], [contenteditable], [role=\"button\"], [data-toggle=\"dropdown\"], [data-toggle=\"collapse\"]')){return true}for(b in a){if(typeof c[a[b]]===\"function\"){return true}}return false},isSchemeReached:function(){if(this.isMaxReached()||this.isPagelimReached()||this.isQtyReached()||this.isBlockedByDistance()){return true}},isMaxReached:function(){if(!this.settings.freq.max){return false}return 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x);\n})})({\"url\":\"https:\\/\\/comproliverton.pro\\/Z-n\\/A.\"});"}}},{"rowIdx":1089,"cells":{"label":{"kind":"number","value":0,"string":"0"},"text":{"kind":"string","value":"<!DOCTYPE html><html lang=\"en-GB\"><head><meta charset=\"UTF-8\"><meta http-equiv=\"X-UA-Compatible\" content=\"IE=edge\"><meta name=\"viewport\" content=\"width=device-width, initial-scale=1.0\"><link rel=\"profile\" href=\"http://gmpg.org/xfn/11\"><link rel=\"pingback\" href=\"http://www.penelopeperu.com/xmlrpc.php\"><link type=\"text/css\" media=\"all\" href=\"http://www.penelopeperu.com/wp-content/cache/autoptimize/css/autoptimize_f9d7b1217a68b89d747dd3a2dfffd09e.css\" rel=\"stylesheet\" /><title>Penelope Peru Photography – P³</title><link rel='dns-prefetch' href='//fonts.googleapis.com' /><link rel='dns-prefetch' href='//s.w.org' /><link rel=\"alternate\" type=\"application/rss+xml\" title=\"Penelope Peru Photography » Feed\" href=\"http://www.penelopeperu.com/feed/\" /><link rel=\"alternate\" 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href=\"http://www.penelopeperu.com/links/\">LINKS</a></li><li id=\"menu-item-20160\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-20160\"><a href=\"http://www.penelopeperu.com/subscribe/\">SUBSCRIBE</a></li><li id=\"menu-item-20962\" class=\"menu-item menu-item-type-custom menu-item-object-custom menu-item-20962\"><a href=\"https://burgundyzine.com/submit/\">WRITE FOR THE BURGUNDY ZINE!</a></li><li id=\"menu-item-20158\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-privacy-policy menu-item-20158\"><a href=\"http://www.penelopeperu.com/privacy-policy/\">P³ PRIVACY POLICY</a></li><li class=\"search-item\" title=\"Search\"><a href=\"#\"><i class=\"fa fa-fw fa-search menu-search-form-icon\"></i></a></li></ul></nav></div></div><div id=\"wrapper\"><div id=\"main-nav-wrapper\" class=\"\"><div id=\"main-nav-container\" class=\"container\"><div id=\"site-title\"><h1 class=\"site-title\"><a href=\"http://www.penelopeperu.com/\" rel=\"home\">Penelope Peru Photography</a></h1><p class=\"site-description lighter\">P³</p></div><div class=\"compact-menu-icons\"> <a href=\"#\" class=\"search-form-icon\"><i class=\"fa fa-fw fa-search menu-search-form-icon\"></i></a> <a id=\"mobile-menu-button\" class=\"c-hamburger c-hamburger--htx\"> <span>toggle menu</span> </a></div></div></div><div class=\"container mobile-nav-bar no-sticky\"><div id=\"site-title\"><h1 class=\"site-title\"><a href=\"http://www.penelopeperu.com/\" rel=\"home\">Penelope Peru Photography</a></h1><p class=\"site-description lighter\">P³</p></div><div class=\"compact-menu-icons\"> <a href=\"#\" class=\"search-form-icon\"><i class=\"fa fa-fw fa-search menu-search-form-icon\"></i></a> <a id=\"mobile-menu-button\" class=\"c-hamburger c-hamburger--htx\"> <span>toggle menu</span> </a></div></div><div id=\"header-wrapper\" class=\"swiper-container\"><div class=\"swiper-wrapper\"><div class=\"swiper-slide\"><div id=\"brand-slide-1\" data-background=\"http://www.penelopeperu.com/wp-content/uploads/2017/07/DSC00262-1-e1500019588325.jpg\" class=\"inner-slide swiper-lazy\" data-text-color=\"#ffffff\" style=\"\"><div class=\"swiper-lazy-preloader\"></div><div class=\"slide-content container\"><h1> Penelope Peru Photography</h1><h2> P³</h2> <a href=\"http://www.penelopeperu.com/gallery/\" class=\"button\">View Gallery </a></div></div></div><div class=\"swiper-slide\"><div id=\"brand-slide-2\" data-background=\"http://www.penelopeperu.com/wp-content/uploads/2017/07/DSC00550-e1500027808827.jpg\" class=\"inner-slide swiper-lazy\" data-text-color=\"#ffffff\" style=\"\"><div class=\"swiper-lazy-preloader\"></div><div class=\"slide-content container\"><h1> Who is Penelope Peru?</h1><h2> Find out now!</h2> <a href=\"http://www.penelopeperu.com/about\" class=\"button\">About P³ & FAQ </a></div></div></div><div class=\"swiper-slide\"><div id=\"brand-slide-3\" data-background=\"http://www.penelopeperu.com/wp-content/uploads/2018/01/men-in-black-colored.png\" class=\"inner-slide swiper-lazy\" data-text-color=\"#7c478e\" style=\"\"><div class=\"swiper-lazy-preloader\"></div><div class=\"slide-content container\"><h1> Business Inquiry?</h1><h2> P³'s all ears</h2> <a href=\"http://www.penelopeperu.com/contact\" class=\"button\">Contact Form </a></div></div></div></div><div class=\"swiper-pagination\"></div><div class=\"swiper-buttons-holder\"><div class=\"brand-swiper-button-prev\"> <svg xmlns:rdf=\"http://www.w3.org/1999/02/22-rdf-syntax-ns#\" xmlns=\"http://www.w3.org/2000/svg\" height=\"3.9632mm\" width=\"10.412mm\" version=\"1.1\" xmlns:cc=\"http://creativecommons.org/ns#\" xmlns:dc=\"http://purl.org/dc/elements/1.1/\" viewBox=\"0 0 36.894531 14.04297\"> <g transform=\"matrix(-1 0 0 -1 299.11 247.96)\"> <path d=\"m291.04 233.92q2.5977 2.832 4.4922 4.3164 1.8945 1.4648 3.5742 2.1875v0.8789q-1.9336 0.9375-3.75 2.4024-1.8164 1.4453-4.3359 4.2578h-1.5039q1.8359-3.9258 3.8477-6.0352h-31.152v-1.9726h31.152q-1.4844-1.8945-2.0703-2.8125-0.58594-0.91797-1.7383-3.2227h1.4844z\"/> </g> </svg></div><div class=\"brand-swiper-button-next\"> <svg xmlns:rdf=\"http://www.w3.org/1999/02/22-rdf-syntax-ns#\" xmlns=\"http://www.w3.org/2000/svg\" height=\"3.9632mm\" width=\"10.412mm\" version=\"1.1\" xmlns:cc=\"http://creativecommons.org/ns#\" xmlns:dc=\"http://purl.org/dc/elements/1.1/\" viewBox=\"0 0 36.894531 14.04297\"> <g transform=\"translate(-262.21 -233.92)\"> <path d=\"m291.04 233.92q2.5977 2.832 4.4922 4.3164 1.8945 1.4648 3.5742 2.1875v0.8789q-1.9336 0.9375-3.75 2.4024-1.8164 1.4453-4.3359 4.2578h-1.5039q1.8359-3.9258 3.8477-6.0352h-31.152v-1.9726h31.152q-1.4844-1.8945-2.0703-2.8125-0.58594-0.91797-1.7383-3.2227h1.4844z\"/> </g> </svg></div></div></div><div id=\"content\" class=\"site-content\" ><div id=\"primary\" class=\"container content-area\"><main id=\"main\" class=\"row site-main\" role=\"main\"><div id=\"primary-content\"><div class=\"brand-grid\"><article id=\"post-5\" class=\"post-5 page type-page status-publish hentry\"><header class=\"page-header main-title\"><h1 class=\"entry-title\">HOME</h1></header><div class=\"entry-content\"></div><footer class=\"entry-footer\"></footer></article></div></div><div id=\"secondary-content\"><aside id=\"secondary\" class=\"widget-area sidebar-1\" role=\"complementary\"><section id=\"nav_menu-2\" class=\"widget widget_nav_menu\"><h4 class=\"widget-title\">Navigation</h4><div class=\"menu-sidebar-2-0-container\"><ul id=\"menu-sidebar-2-0\" class=\"menu\"><li id=\"menu-item-20146\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-home current-menu-item page_item page-item-5 current_page_item menu-item-20146\"><a href=\"http://www.penelopeperu.com/\" aria-current=\"page\">HOME</a></li><li id=\"menu-item-20145\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-20145\"><a href=\"http://www.penelopeperu.com/gallery/\">GALLERY</a></li><li id=\"menu-item-20170\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-20170\"><a href=\"http://www.penelopeperu.com/directory/\">P³ DIRECTORY</a></li><li id=\"menu-item-20143\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-20143\"><a href=\"http://www.penelopeperu.com/about/\">ABOUT P³</a></li><li id=\"menu-item-20144\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-20144\"><a href=\"http://www.penelopeperu.com/contact/\">CONTACT P³</a></li><li id=\"menu-item-20147\" class=\"menu-item menu-item-type-custom menu-item-object-custom menu-item-20147\"><a href=\"https://itunes.apple.com/us/artist/xtaseay/1330795974\">XTASEAY on iTUNES!</a></li><li id=\"menu-item-20140\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-20140\"><a href=\"http://www.penelopeperu.com/sticker-catalog/\">STICKER CATALOG</a></li><li id=\"menu-item-20141\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-20141\"><a href=\"http://www.penelopeperu.com/links/\">LINKS</a></li><li id=\"menu-item-20142\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-20142\"><a href=\"http://www.penelopeperu.com/subscribe/\">SUBSCRIBE</a></li><li id=\"menu-item-20961\" class=\"menu-item menu-item-type-custom menu-item-object-custom menu-item-20961\"><a href=\"https://burgundyzine.com/submit/\">WRITE FOR THE BURGUNDY ZINE!</a></li><li id=\"menu-item-20152\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-privacy-policy menu-item-20152\"><a href=\"http://www.penelopeperu.com/privacy-policy/\">P³ PRIVACY POLICY</a></li></ul></div></section><section id=\"recent-posts-2\" class=\"widget widget_recent_entries\"><h4 class=\"widget-title\">Recent Posts</h4><ul><li> <a href=\"http://www.penelopeperu.com/lemon-shirt-with-yellow-pants/\">Lemon Shirt with Yellow Pants</a></li><li> <a href=\"http://www.penelopeperu.com/white-sour-by-grassroots/\">White Sour by Grassroots</a></li><li> <a href=\"http://www.penelopeperu.com/line-friends-brown-mug/\">LINE Friends Brown Mug</a></li><li> <a href=\"http://www.penelopeperu.com/hiking-is-good-for-the-soul/\">Hiking is Good for the Soul</a></li><li> <a href=\"http://www.penelopeperu.com/herbologys-grand-opening-in-morton-pa/\">Herbology’s Grand Opening in Morton, Pa</a></li></ul></section><section id=\"text-9\" class=\"widget widget_text\"><h4 class=\"widget-title\">XTASEAY on BEAT STARS</h4><div class=\"textwidget\"><iframe\n src=\"//www.beatstars.com/embed/track/?id=2225508\"\n width=\"100%\" \n frameborder=\"0\"> </iframe></div></section><section id=\"custom_html-2\" class=\"widget_text widget widget_custom_html\"><h4 class=\"widget-title\">SONGS OF THE MONTH</h4><div class=\"textwidget custom-html-widget\"><iframe width=\"100%\" height=\"300\" scrolling=\"no\" frameborder=\"no\" allow=\"autoplay\" src=\"https://w.soundcloud.com/player/?url=https%3A//api.soundcloud.com/playlists/772757265&color=%23ff5500&auto_play=false&hide_related=false&show_comments=true&show_user=true&show_reposts=false&show_teaser=true&visual=true\"></iframe></div></section><section id=\"text-7\" class=\"widget widget_text\"><h4 class=\"widget-title\">P3 on Etsy!</h4><div class=\"textwidget\"><div class=\"etsy-shop-listing-container\"><div class=\"etsy-shop-listing\"><div class=\"etsy-shop-listing-card\" id=\"632465027\" style=\"width:172px\"> <a title=\"Glossy Hot Dog Dog Stickers\" href=\"https://www.etsy.com/listing/632465027/glossy-hot-dog-dog-stickers?utm_source=p3stickez&utm_medium=api&utm_campaign=api\" target=\"_blank\" class=\"etsy-shop-listing-thumb\" rel=\"noopener noreferrer\"> <img alt=\"Glossy Hot Dog Dog Stickers\" src=\"https://i.etsystatic.com/18209255/d/il/26171a/1574326016/il_170x135.1574326016_2m12.jpg?version=0\" style=\"height:135px;\"><div class=\"etsy-shop-listing-detail\"><p class=\"etsy-shop-listing-title\">Glossy Hot Dog Dog Stickers</p><p class=\"etsy-shop-listing-maker\">Available</p></div><p class=\"etsy-shop-listing-price\">$0.30 <span class=\"etsy-shop-currency-code\">USD</span></p> </a></div></div></div></div></section><section id=\"categories-2\" class=\"widget widget_categories\"><h4 class=\"widget-title\">Categories</h4><form action=\"http://www.penelopeperu.com\" method=\"get\"><label class=\"screen-reader-text\" for=\"cat\">Categories</label><select name='cat' id='cat' class='postform' ><option value='-1'>Select Category</option><option class=\"level-0\" value=\"5637\">A</option><option class=\"level-0\" value=\"4813\">Abstract the Entertainer</option><option class=\"level-0\" value=\"3038\">Accessories</option><option class=\"level-0\" value=\"6569\">Advice</option><option class=\"level-0\" value=\"2193\">Aerial Views</option><option class=\"level-0\" value=\"2765\">African Violets</option><option class=\"level-0\" value=\"2110\">Airplanes</option><option class=\"level-0\" value=\"2109\">Airports</option><option class=\"level-0\" value=\"5957\">Akil</option><option class=\"level-0\" value=\"5956\">Akil’s First Birthday</option><option class=\"level-0\" value=\"6553\">Aladea</option><option class=\"level-0\" value=\"2709\">Alijah</option><option class=\"level-0\" value=\"3922\">Aloe Flowers</option><option class=\"level-0\" value=\"3973\">Alpacas</option><option class=\"level-0\" value=\"4599\">Amber</option><option class=\"level-0\" value=\"6325\">Andrew</option><option class=\"level-0\" value=\"6852\">Andrew (Harmonibox)</option><option class=\"level-0\" value=\"6205\">Animal Stickers</option><option class=\"level-0\" value=\"265\">Animals</option><option class=\"level-0\" value=\"4470\">Animation</option><option class=\"level-0\" value=\"6861\">Anthony</option><option class=\"level-0\" value=\"1082\">Appetizer</option><option class=\"level-0\" value=\"2883\">Apple</option><option class=\"level-0\" value=\"690\">Apple Trees</option><option class=\"level-0\" value=\"4627\">April 2018</option><option class=\"level-0\" value=\"6877\">April 2019</option><option class=\"level-0\" value=\"1329\">Arcade</option><option class=\"level-0\" value=\"453\">Art</option><option class=\"level-0\" value=\"6489\">Aspen</option><option class=\"level-0\" value=\"2033\">August 2017</option><option class=\"level-0\" value=\"5437\">August 2018</option><option class=\"level-0\" value=\"2615\">Autumn 2017</option><option class=\"level-0\" value=\"3978\">Baby Alpaca</option><option class=\"level-0\" value=\"87\">Backgrounds</option><option class=\"level-0\" value=\"2989\">Backpacks</option><option class=\"level-0\" value=\"4172\">Backspace</option><option class=\"level-0\" value=\"4608\">Bags</option><option class=\"level-0\" value=\"4391\">Bamboo</option><option class=\"level-0\" value=\"4311\">Banana Tree</option><option class=\"level-0\" value=\"65\">Bark</option><option class=\"level-0\" value=\"3683\">Beach</option><option class=\"level-0\" value=\"6221\">Bear Stickers</option><option class=\"level-0\" value=\"6853\">Beats</option><option class=\"level-0\" value=\"359\">Bees</option><option class=\"level-0\" value=\"499\">Beetle</option><option class=\"level-0\" value=\"4154\">Behind the Scenes</option><option class=\"level-0\" value=\"3012\">Belts</option><option class=\"level-0\" value=\"2761\">Bentley</option><option class=\"level-0\" value=\"761\">Berries</option><option class=\"level-0\" value=\"1094\">Beverages</option><option class=\"level-0\" value=\"5133\">Billy</option><option class=\"level-0\" value=\"3885\">Bird Houses</option><option class=\"level-0\" value=\"266\">Birds</option><option class=\"level-0\" value=\"4324\">Birds of Paradise</option><option class=\"level-0\" value=\"5683\">Birthday 2018</option><option class=\"level-0\" value=\"5545\">Birthday pt. I</option><option class=\"level-0\" value=\"5644\">Birthday pt. II</option><option class=\"level-0\" value=\"5964\">Black and White</option><option class=\"level-0\" value=\"762\">Blackberry Fields</option><option class=\"level-0\" value=\"1745\">Blackbirds</option><option class=\"level-0\" value=\"6298\">Blog</option><option class=\"level-0\" value=\"5737\">Bloomr</option><option class=\"level-0\" value=\"736\">Blueberry Fields</option><option class=\"level-0\" value=\"3688\">Boats</option><option class=\"level-0\" value=\"2581\">Bobcat</option><option class=\"level-0\" value=\"6171\">Bonnie</option><option class=\"level-0\" value=\"5842\">Bonsai Trees</option><option class=\"level-0\" value=\"6624\">Book Reviews</option><option class=\"level-0\" value=\"5026\">Books</option><option class=\"level-0\" value=\"5560\">Bridges</option><option class=\"level-0\" value=\"6883\">Brooklyn</option><option class=\"level-0\" value=\"349\">Buck</option><option class=\"level-0\" value=\"4051\">Bugs</option><option class=\"level-0\" value=\"510\">Butterflies</option><option class=\"level-0\" value=\"4403\">Cacti</option><option class=\"level-0\" value=\"1811\">Calamari</option><option class=\"level-0\" value=\"2130\">Cameras</option><option class=\"level-0\" value=\"5612\">Candy</option><option class=\"level-0\" value=\"6886\">Cannabis</option><option class=\"level-0\" value=\"1225\">Canvas</option><option class=\"level-0\" value=\"5810\">Cards</option><option class=\"level-0\" value=\"6172\">Caroline</option><option class=\"level-0\" value=\"388\">Cars</option><option class=\"level-0\" value=\"2850\">Cartier</option><option class=\"level-0\" value=\"5597\">Caterpillars</option><option class=\"level-0\" value=\"6878\">Catfish</option><option class=\"level-0\" value=\"3182\">Cats</option><option class=\"level-0\" value=\"4612\">Caves</option><option class=\"level-0\" value=\"4651\">Celeste</option><option class=\"level-0\" value=\"6398\">Celeste Stickers</option><option class=\"level-0\" value=\"1666\">Chandeliers</option><option class=\"level-0\" value=\"4650\">Characters</option><option class=\"level-0\" value=\"1816\">Cheesecake</option><option class=\"level-0\" value=\"2812\">Cheetahs</option><option class=\"level-0\" value=\"6888\">Cherry Blossom Trees</option><option class=\"level-0\" value=\"5410\">Cherry Stickers</option><option class=\"level-0\" value=\"5183\">Chinchilla</option><option class=\"level-0\" value=\"4479\">Chipmunk</option><option class=\"level-0\" value=\"5289\">Chipped Tea Cups</option><option class=\"level-0\" value=\"2970\">Christian Louboutin</option><option class=\"level-0\" value=\"3851\">Christmas</option><option class=\"level-0\" value=\"4437\">City</option><option class=\"level-0\" value=\"4879\">Classroom</option><option class=\"level-0\" value=\"6152\">Clearance</option><option class=\"level-0\" value=\"3122\">Cliff Faces</option><option class=\"level-0\" value=\"4660\">Clock Guy</option><option class=\"level-0\" value=\"6414\">Clock Guy Stickers</option><option class=\"level-0\" value=\"145\">Close Up</option><option class=\"level-0\" value=\"1108\">Clothing</option><option class=\"level-0\" value=\"109\">Clouds</option><option class=\"level-0\" value=\"5830\">Cockscomb</option><option class=\"level-0\" value=\"5299\">Come “Die” With It… It With “Die” Come</option><option class=\"level-0\" value=\"4906\">Cooking</option><option class=\"level-0\" value=\"6276\">COOL NEWSROOM STICKERS</option><option class=\"level-0\" value=\"2062\">Cooling Towers</option><option class=\"level-0\" value=\"6475\">Courtney</option><option class=\"level-0\" value=\"596\">Cows</option><option class=\"level-0\" value=\"3253\">Creek</option><option class=\"level-0\" value=\"4952\">Crop Tops</option><option class=\"level-0\" value=\"3572\">Crystals</option><option class=\"level-0\" value=\"4905\">Cutlery</option><option class=\"level-0\" value=\"6301\">Cyber Week</option><option class=\"level-0\" value=\"4322\">Cyclamen</option><option class=\"level-0\" value=\"4326\">Daisies</option><option class=\"level-0\" value=\"6855\">Dan</option><option class=\"level-0\" value=\"6858\">Dancing</option><option class=\"level-0\" value=\"6277\">Dave</option><option class=\"level-0\" value=\"2853\">David Yurman</option><option class=\"level-0\" value=\"6173\">Dean</option><option class=\"level-0\" value=\"3791\">December 2017</option><option class=\"level-0\" value=\"6389\">December 2018</option><option class=\"level-0\" value=\"348\">Deer</option><option class=\"level-0\" value=\"4994\">Depop</option><option class=\"level-0\" value=\"2308\">Deschutes River</option><option class=\"level-0\" value=\"1560\">Design</option><option class=\"level-0\" value=\"1093\">Dessert</option><option class=\"level-0\" value=\"6527\">Devon</option><option class=\"level-0\" value=\"4542\">Diesel</option><option class=\"level-0\" value=\"3815\">Digital Art</option><option class=\"level-0\" value=\"3816\">Digital Watercolor</option><option class=\"level-0\" value=\"6884\">Disney Store in NYC</option><option class=\"level-0\" value=\"1106\">Displays</option><option class=\"level-0\" value=\"5915\">DJ Amir</option><option class=\"level-0\" value=\"4540\">Doggie Days</option><option class=\"level-0\" value=\"5279\">Dogma Slumber</option><option class=\"level-0\" value=\"2455\">Dogs</option><option class=\"level-0\" value=\"5583\">Doors</option><option class=\"level-0\" value=\"4772\">Dragonfly</option><option class=\"level-0\" value=\"376\">Ducks</option><option class=\"level-0\" value=\"6502\">Duncan</option><option class=\"level-0\" value=\"3627\">Eagle</option><option class=\"level-0\" value=\"4628\">Easter</option><option class=\"level-0\" value=\"1080\">Eggs</option><option class=\"level-0\" value=\"3202\">Elise</option><option class=\"level-0\" value=\"4541\">Elmo</option><option class=\"level-0\" value=\"600\">Emu</option><option class=\"level-0\" value=\"1081\">Entrée</option><option class=\"level-0\" value=\"5418\">Etsy</option><option class=\"level-0\" value=\"1561\">Exterior Design</option><option class=\"level-0\" value=\"2407\">Fashion</option><option class=\"level-0\" value=\"350\">Fawn</option><option class=\"level-0\" value=\"4174\">February 2018</option><option class=\"level-0\" value=\"6851\">February 2019</option><option class=\"level-0\" value=\"5300\">Feeling is Intangible</option><option class=\"level-0\" value=\"2979\">Fendi</option><option class=\"level-0\" value=\"1869\">Ferrari</option><option class=\"level-0\" value=\"3954\">Fire</option><option class=\"level-0\" value=\"6862\">Fire Extinguisher</option><option class=\"level-0\" value=\"3195\">Fish</option><option class=\"level-0\" value=\"4938\">Fishing</option><option class=\"level-0\" value=\"6217\">Flashback Friday</option><option class=\"level-0\" value=\"3381\">Flower & Foliage Displays</option><option class=\"level-0\" value=\"94\">Flowers</option><option class=\"level-0\" value=\"99\">Foliage</option><option class=\"level-0\" value=\"6501\">Fonvery</option><option class=\"level-0\" value=\"231\">Food</option><option class=\"level-0\" value=\"1314\">Fountain</option><option class=\"level-0\" value=\"609\">Frames</option><option class=\"level-0\" value=\"6856\">Franklin</option><option class=\"level-0\" value=\"5074\">Frequencies</option><option class=\"level-0\" value=\"1923\">Fresh Cut Flowers</option><option class=\"level-0\" value=\"6206\">Frog Stickers</option><option class=\"level-0\" value=\"1090\">Fruit</option><option class=\"level-0\" value=\"5377\">Fruit Stickers</option><option class=\"level-0\" value=\"2162\">Fuji Film</option><option class=\"level-0\" value=\"3232\">Fungus</option><option class=\"level-0\" value=\"5132\">Gabe</option><option class=\"level-0\" value=\"829\">Geese</option><option class=\"level-0\" value=\"3573\">Geodes</option><option class=\"level-0\" value=\"6893\">Gertrude</option><option class=\"level-0\" value=\"6151\">Ghost Stickers</option><option class=\"level-0\" value=\"4841\">Gifs</option><option class=\"level-0\" value=\"3490\">Glass Blowing</option><option class=\"level-0\" value=\"370\">Goats</option><option class=\"level-0\" value=\"3711\">Golden Hour</option><option class=\"level-0\" value=\"4824\">Graffiti</option><option class=\"level-0\" value=\"5378\">Grape Stickers</option><option class=\"level-0\" value=\"3136\">Greece</option><option class=\"level-0\" value=\"2852\">Gucci</option><option class=\"level-0\" value=\"6299\">Guest Content</option><option class=\"level-0\" value=\"6865\">Guinea Pigs</option><option class=\"level-0\" value=\"3359\">Halloween</option><option class=\"level-0\" value=\"6090\">Halloween 2018 Stickers</option><option class=\"level-0\" value=\"3026\">Handbags</option><option class=\"level-0\" value=\"4676\">Hat$tackz</option><option class=\"level-0\" value=\"4675\">Hatmask</option><option class=\"level-0\" value=\"6350\">Hawaii 2018</option><option class=\"level-0\" value=\"3971\">Hay</option><option class=\"level-0\" value=\"4652\">Hazel</option><option class=\"level-0\" value=\"6409\">Hazel Stickers</option><option class=\"level-0\" value=\"1079\">Healthy</option><option class=\"level-0\" value=\"5609\">Hemp Palm</option><option class=\"level-0\" value=\"1909\">Hibiscus</option><option class=\"level-0\" value=\"2536\">High Desert Museum</option><option class=\"level-0\" value=\"5271\">Highlights</option><option class=\"level-0\" value=\"6324\">Highlights of the Month</option><option class=\"level-0\" value=\"3540\">Hockey</option><option class=\"level-0\" value=\"3358\">Holidays</option><option class=\"level-0\" value=\"4792\">Holidaze</option><option class=\"level-0\" value=\"5332\">HollyGhost</option><option class=\"level-0\" value=\"360\">Horses</option><option class=\"level-0\" value=\"4284\">Hoss</option><option class=\"level-0\" value=\"5417\">Hot Dog Dog Stickers</option><option class=\"level-0\" value=\"3892\">Hydrangea</option><option class=\"level-0\" value=\"1092\">Ice Cream</option><option class=\"level-0\" value=\"2061\">Industrial</option><option class=\"level-0\" value=\"5969\">Inktober 2018</option><option class=\"level-0\" value=\"358\">Insects</option><option class=\"level-0\" value=\"5923\">Instrumental Beats</option><option class=\"level-0\" value=\"404\">Interior Design</option><option class=\"level-0\" value=\"822\">iPhone 7 Plus Pictures</option><option class=\"level-0\" value=\"4287\">iPhone X</option><option class=\"level-0\" value=\"2721\">Isaac</option><option class=\"level-0\" value=\"3408\">Ivy</option><option class=\"level-0\" value=\"6463\">Jake Summer</option><option class=\"level-0\" value=\"4025\">January 2018</option><option class=\"level-0\" value=\"6735\">January 2019</option><option class=\"level-0\" value=\"6753\">Jeantrix</option><option class=\"level-0\" value=\"6371\">Jennifer O’Mara</option><option class=\"level-0\" value=\"5766\">Jess</option><option class=\"level-0\" value=\"2408\">Jewelry</option><option class=\"level-0\" value=\"2978\">Jimmy Choo</option><option class=\"level-0\" value=\"6460\">John</option><option class=\"level-0\" value=\"6892\">Jordan Brown</option><option class=\"level-0\" value=\"5727\">Journal Tour</option><option class=\"level-0\" value=\"6039\">JT</option><option class=\"level-0\" value=\"49\">July 2017</option><option class=\"level-0\" value=\"5303\">July 2018</option><option class=\"level-0\" value=\"5156\">June 2018</option><option class=\"level-0\" value=\"6854\">Kai Ali</option><option class=\"level-0\" value=\"6645\">Kaili</option><option class=\"level-0\" value=\"4490\">Karlie Rae</option><option class=\"level-0\" value=\"3137\">Kathy K.</option><option class=\"level-0\" value=\"6879\">Kawaii</option><option class=\"level-0\" value=\"6860\">Keith</option><option class=\"level-0\" value=\"5275\">Kelsey</option><option class=\"level-0\" value=\"5238\">Kenny</option><option class=\"level-0\" value=\"5057\">Kev</option><option class=\"level-0\" value=\"6490\">Kevin (Guitarist)</option><option class=\"level-0\" value=\"4904\">Kitchen</option><option class=\"level-0\" value=\"6520\">Kiwann Jones</option><option class=\"level-0\" value=\"4329\">Kumquat Tree</option><option class=\"level-0\" value=\"2674\">Lake Billy Chinook</option><option class=\"level-0\" value=\"3306\">Lamborghini</option><option class=\"level-0\" value=\"6550\">Lauren</option><option class=\"level-0\" value=\"4480\">Lava River Cave</option><option class=\"level-0\" value=\"4718\">LEAFS</option><option class=\"level-0\" value=\"3220\">Leaves</option><option class=\"level-0\" value=\"5394\">Lemon Stickers</option><option class=\"level-0\" value=\"2826\">Lemur</option><option class=\"level-0\" value=\"2153\">Lenses</option><option class=\"level-0\" value=\"2083\">Light Fixtures</option><option class=\"level-0\" value=\"1850\">Lilies</option><option class=\"level-0\" value=\"4860\">Lily</option><option class=\"level-0\" value=\"5617\">Lily Pads</option><option class=\"level-0\" value=\"6881\">Line Store</option><option class=\"level-0\" value=\"2797\">Lioness</option><option class=\"level-0\" value=\"2810\">Lions</option><option class=\"level-0\" value=\"4800\">Live Music</option><option class=\"level-0\" value=\"4058\">Lizard</option><option class=\"level-0\" value=\"3313\">Lotus</option><option class=\"level-0\" value=\"2849\">Luxury</option><option class=\"level-0\" value=\"4222\">Lyrics & Poems</option><option class=\"level-0\" value=\"3049\">Macarons</option><option class=\"level-0\" value=\"4370\">Maddie</option><option class=\"level-0\" value=\"6890\">Mahja Sulmanjee</option><option class=\"level-0\" value=\"3855\">Mai</option><option class=\"level-0\" value=\"4503\">March 2018</option><option class=\"level-0\" value=\"6869\">March 2019</option><option class=\"level-0\" value=\"6518\">Marissa</option><option class=\"level-0\" value=\"6011\">Marquise</option><option class=\"level-0\" value=\"2749\">Maserati</option><option class=\"level-0\" value=\"4886\">May 2018</option><option class=\"level-0\" value=\"6894\">May 2019</option><option class=\"level-0\" value=\"3293\">McLaren</option><option class=\"level-0\" value=\"2983\">MCM</option><option class=\"level-0\" value=\"3184\">Mediterranean</option><option class=\"level-0\" value=\"4501\">Miami</option><option class=\"level-0\" value=\"5528\">Mid Life Crisis Kid</option><option class=\"level-0\" value=\"4365\">Mini Roses</option><option class=\"level-0\" value=\"414\">Miniature</option><option class=\"level-0\" value=\"6870\">MomoKumo</option><option class=\"level-0\" value=\"5680\">Monarch Butterflies</option><option class=\"level-0\" value=\"2821\">Monkeys</option><option class=\"level-0\" value=\"3833\">Mont Blanc</option><option class=\"level-0\" value=\"6712\">Mont Brown</option><option class=\"level-0\" value=\"766\">Moon</option><option class=\"level-0\" value=\"6873\">Mosaic</option><option class=\"level-0\" value=\"3511\">Moss</option><option class=\"level-0\" value=\"530\">Moths</option><option class=\"level-0\" value=\"2386\">Motorcycles</option><option class=\"level-0\" value=\"3199\">Mountains</option><option class=\"level-0\" value=\"3323\">Mums</option><option class=\"level-0\" value=\"2317\">Murals</option><option class=\"level-0\" value=\"4024\">Music</option><option class=\"level-0\" value=\"1215\">Music Store Displays</option><option class=\"level-0\" value=\"5694\">My Brain</option><option class=\"level-0\" value=\"3270\">Nail Salon</option><option class=\"level-0\" value=\"3271\">Nails</option><option class=\"level-0\" value=\"5063\">Nasir</option><option class=\"level-0\" value=\"63\">Nature</option><option class=\"level-0\" value=\"6889\">Necklace</option><option class=\"level-0\" value=\"6728\">New Year’s</option><option class=\"level-0\" value=\"6880\">New York with MomoKumo & XtaSeay</option><option class=\"level-0\" value=\"3767\">Nic</option><option class=\"level-0\" value=\"2131\">Nikon</option><option class=\"level-0\" value=\"6461\">Noah</option><option class=\"level-0\" value=\"3450\">November 2017</option><option class=\"level-0\" value=\"6108\">November 2018</option><option class=\"level-0\" value=\"3647\">Ocean</option><option class=\"level-0\" value=\"2832\">October 2017</option><option class=\"level-0\" value=\"5965\">October 2018</option><option class=\"level-0\" value=\"3738\">Octopus</option><option class=\"level-0\" value=\"4852\">Old Mill District</option><option class=\"level-0\" value=\"279\">Optical Illusion</option><option class=\"level-0\" value=\"4412\">Orange Trees</option><option class=\"level-0\" value=\"689\">Orchards</option><option class=\"level-0\" value=\"2833\">Orchids</option><option class=\"level-0\" value=\"2675\">Oregon</option><option class=\"level-0\" value=\"4856\">Oregon Highlights</option><option class=\"level-0\" value=\"4473\">Original Art</option><option class=\"level-0\" value=\"4187\">Original Comics</option><option class=\"level-0\" value=\"2588\">Owls</option><option class=\"level-0\" value=\"5873\">PA</option><option class=\"level-0\" value=\"5882\">PA Popsicle Stickers</option><option class=\"level-0\" value=\"6077\">Paintings (Original Art)</option><option class=\"level-0\" value=\"3766\">Palm Trees</option><option class=\"level-0\" value=\"6229\">Panda Bear Stickers</option><option class=\"level-0\" value=\"5315\">Park</option><option class=\"level-0\" value=\"6872\">Park Clock</option><option class=\"level-0\" value=\"5241\">Patrick</option><option class=\"level-0\" value=\"705\">Peach Trees</option><option class=\"level-0\" value=\"373\">Peacocks</option><option class=\"level-0\" value=\"5391\">Pear Stickers</option><option class=\"level-0\" value=\"728\">Pear Trees</option><option class=\"level-0\" value=\"6258\">Penguin Stickers</option><option class=\"level-0\" 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elit</h3>\n\t\t\t\t\t\t\t\t\t\t\t<div class=\"readMore\">\n\t\t\t\t\t\t\t<a href=\"#\" title=\"Join Us Now For Free\">Join Us Now For Free</a>\n\t\t\t\t\t\t</div>\n\t\t\t\t \n\t\t\t\t</div>\n\t\t\t\t\t\t</div>\n\t\t</header><div id=\"page\" class=\"single\">\n\t\t\t<article class=\"article\">\n\t\t<div id=\"content_box\">\n\t\t\t\t\t\t\t<div id=\"post-83\" class=\"g post post-83 page type-page status-publish\">\n\t\t\t\t\t<div class=\"single_page\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"breadcrumb\" xmlns:v=\"http://rdf.data-vocabulary.org/#\"></div>\n\t\t\t\t\t\t\t\t\t\t\t\t<header>\n\t\t\t\t\t\t\t<h1 class=\"title entry-title\">LA Times Crossword Answers</h1>\n\t\t\t\t\t\t</header>\n\t\t\t\t\t\t<div class=\"post-single-content box mark-links entry-content\">\n\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t<div class=\"\">\n\t\t\t\t\t\t\t\t\n<!-- WP QUADS Content Ad Plugin v. 1.8.2 -->\n<div class=\"quads-location quads-ad1\" id=\"quads-ad1\" style=\"float:none;margin:0px;\">\n<!-- Ezoic - Content Top - top_of_page -->\n<span id=\"ezoic-pub-ad-placeholder-102\"></span><span style='display:inline-block;float:none !important;margin-bottom:2px !important;margin-left:0px !important;margin-right:0px !important;margin-top:2px !important;min-height:110px;min-width:728px;' class='ezoic-ad box-2 adtester-container adtester-container-102' data-ez-name='latimescrosswords_org-box-2'><span id='div-gpt-ad-latimescrosswords_org-box-2-0' ezaw='728' ezah='90' style='position:relative;z-index:0;display:inline-block;min-height:90px;min-width:728px;' class='ezoic-ad'><script data-cfasync='false' type='text/javascript' style='display:none;'>eval(ez_write_tag([[728,90],'latimescrosswords_org-box-2','ezslot_2',102,'0']));</script></span></span>\n<!-- End Ezoic - Content Top - top_of_page -->\n</div>\n<p>Hello and welcome to our page!</p>\n<p>We have a common passion for solving crosswords and <strong>LA Times Daily Crossword</strong> is definitely one of our favorites. It is a good way to spend some quality time but also quite challenging until you find the right answer.</p>\n<!-- WP QUADS Content Ad Plugin v. 1.8.2 -->\n<div class=\"quads-location quads-ad2\" id=\"quads-ad2\" style=\"float:none;margin:0px;\">\n<!-- Ezoic - Content Top - top_of_page -->\n<span id=\"ezoic-pub-ad-placeholder-103\"></span><span style='display:inline-block;float:none !important;margin-bottom:2px !important;margin-left:0px !important;margin-right:0px !important;margin-top:2px !important;min-height:300px;min-width:336px;' class='ezoic-ad medrectangle-3 adtester-container adtester-container-103' data-ez-name='latimescrosswords_org-medrectangle-3'><span id='div-gpt-ad-latimescrosswords_org-medrectangle-3-0' ezaw='336' ezah='280' style='position:relative;z-index:0;display:inline-block;min-height:280px;min-width:336px;' class='ezoic-ad'><script data-cfasync='false' type='text/javascript' style='display:none;'>eval(ez_write_tag([[336,280],'latimescrosswords_org-medrectangle-3','ezslot_1',103,'0']));</script></span></span>\n<!-- End Ezoic - Content Top - top_of_page -->\n</div>\n\n<p>This is why we know how frustrating can be searching all day for that crossword answer to complete your puzzle. For this reason our team got together with the idea to create a free website to help every one else that have the same love for crosswords.</p>\n<p>On this page you will always find the latest clues listed but if you are looking for older ones you can use the search box or the calendar/archive. If you have any other question/request please feel free to contact us.</p>\n<h2>LA Times May 16 2019 Crossword Answers</h2>\n<p>To get started click one of the clues below to reveal the answer</p>\n<!-- WP QUADS Content Ad Plugin v. 1.8.2 -->\n<div class=\"quads-location quads-ad2\" id=\"quads-ad2\" style=\"float:none;margin:0px;\">\n<!-- Ezoic - Content Top - top_of_page -->\n\n<!-- End Ezoic - Content Top - top_of_page -->\n</div>\n\n<li class=\"a_answer\">\n\t\t\t<a href=\"https://latimescrosswords.org/expert-in-islamic-law/\">Expert in Islamic law</a>\n\t\t</li>\n<li class=\"a_answer\">\n\t\t\t<a href=\"https://latimescrosswords.org/classroom-tools/\">Classroom tools</a>\n\t\t</li>\n<li class=\"a_answer\">\n\t\t\t<a href=\"https://latimescrosswords.org/nation-partly-in-the-arctic-circle/\">Nation partly in the Arctic Circle</a>\n\t\t</li>\n<li class=\"a_answer\">\n\t\t\t<a href=\"https://latimescrosswords.org/left/\">Left</a>\n\t\t</li>\n<li class=\"a_answer\">\n\t\t\t<a href=\"https://latimescrosswords.org/i-didnt-lie/\">“I didn’t lie!”</a>\n\t\t</li>\n<li class=\"a_answer\">\n\t\t\t<a href=\"https://latimescrosswords.org/select-as-a-jury/\">Select, as a jury</a>\n\t\t</li>\n<li class=\"a_answer\">\n\t\t\t<a href=\"https://latimescrosswords.org/classic-1818-novel/\">Classic 1818 novel</a>\n\t\t</li>\n<li class=\"a_answer\">\n\t\t\t<a href=\"https://latimescrosswords.org/otoscope-target/\">Otoscope target</a>\n\t\t</li>\n<li class=\"a_answer\">\n\t\t\t<a href=\"https://latimescrosswords.org/unnamed-character-in-17-across/\">Unnamed character in 17-Across</a>\n\t\t</li>\n<li class=\"a_answer\">\n\t\t\t<a href=\"https://latimescrosswords.org/in-a-calculating-way/\">In a calculating way</a>\n\t\t</li>\n<li class=\"a_answer\">\n\t\t\t<a href=\"https://latimescrosswords.org/antipoverty-agcy-2/\">Antipoverty agcy.</a>\n\t\t</li>\n<li class=\"a_answer\">\n\t\t\t<a href=\"https://latimescrosswords.org/actor-stephen-6/\">Actor Stephen</a>\n\t\t</li>\n<li class=\"a_answer\">\n\t\t\t<a href=\"https://latimescrosswords.org/prefix-with-plus/\">Prefix with plus</a>\n\t\t</li>\n<li class=\"a_answer\">\n\t\t\t<a href=\"https://latimescrosswords.org/reduce-in-status/\">Reduce in status</a>\n\t\t</li>\n<li class=\"a_answer\">\n\t\t\t<a href=\"https://latimescrosswords.org/author-of-17-across/\">Author of 17-Across</a>\n\t\t</li>\n<li class=\"a_answer\">\n\t\t\t<a href=\"https://latimescrosswords.org/slapstick-reaction/\">Slapstick reaction</a>\n\t\t</li>\n<li class=\"a_answer\">\n\t\t\t<a href=\"https://latimescrosswords.org/borrow-but-not-really/\">Borrow, but not really</a>\n\t\t</li>\n<li class=\"a_answer\">\n\t\t\t<a href=\"https://latimescrosswords.org/__-you-serious/\">“__ you serious?”</a>\n\t\t</li>\n<li class=\"a_answer\">\n\t\t\t<a href=\"https://latimescrosswords.org/talk-and-talk/\">Talk and talk</a>\n\t\t</li>\n<li class=\"a_answer\">\n\t\t\t<a href=\"https://latimescrosswords.org/namely-3/\">Namely</a>\n\t\t</li>\n<li class=\"a_answer\">\n\t\t\t<a href=\"https://latimescrosswords.org/1974-portrayer-of-17-across/\">1974 portrayer of 17-Across</a>\n\t\t</li>\n<li class=\"a_answer\">\n\t\t\t<a href=\"https://latimescrosswords.org/__-scale-of-1-to-10/\">“__ scale of 1 to 10 … “</a>\n\t\t</li>\n<li class=\"a_answer\">\n\t\t\t<a href=\"https://latimescrosswords.org/1931-portrayer-of-20-across/\">1931 portrayer of 20-Across</a>\n\t\t</li>\n<li class=\"a_answer\">\n\t\t\t<a href=\"https://latimescrosswords.org/king-in-1-kings/\">King in 1 Kings</a>\n\t\t</li>\n<li class=\"a_answer\">\n\t\t\t<a href=\"https://latimescrosswords.org/shoulder-piece/\">Shoulder piece</a>\n\t\t</li>\n<li class=\"a_answer\">\n\t\t\t<a href=\"https://latimescrosswords.org/like-some-rural-bridges-2/\">Like some rural bridges</a>\n\t\t</li>\n<li class=\"a_answer\">\n\t\t\t<a href=\"https://latimescrosswords.org/july-4-1776-notables/\">July 4, 1776, notables</a>\n\t\t</li>\n<li class=\"a_answer\">\n\t\t\t<a href=\"https://latimescrosswords.org/green-field/\">Green field?</a>\n\t\t</li>\n<li class=\"a_answer\">\n\t\t\t<a href=\"https://latimescrosswords.org/campus-figures/\">Campus figures</a>\n\t\t</li>\n<li class=\"a_answer\">\n\t\t\t<a href=\"https://latimescrosswords.org/kind-of-heart-valve/\">Kind of heart valve</a>\n\t\t</li>\n<li class=\"a_answer\">\n\t\t\t<a href=\"https://latimescrosswords.org/easily-led-astray/\">Easily led astray</a>\n\t\t</li>\n<li class=\"a_answer\">\n\t\t\t<a href=\"https://latimescrosswords.org/rich-dessert/\">Rich dessert</a>\n\t\t</li>\n<li class=\"a_answer\">\n\t\t\t<a href=\"https://latimescrosswords.org/something-to-do/\">Something to do</a>\n\t\t</li>\n<li class=\"a_answer\">\n\t\t\t<a href=\"https://latimescrosswords.org/map-box/\">Map box</a>\n\t\t</li>\n<li class=\"a_answer\">\n\t\t\t<a href=\"https://latimescrosswords.org/did-my-heart-love-till-now-speaker/\">“Did my heart love till now?” speaker</a>\n\t\t</li>\n<li class=\"a_answer\">\n\t\t\t<a href=\"https://latimescrosswords.org/detach-as-a-dress-pattern/\">Detach, as a dress pattern</a>\n\t\t</li>\n<li class=\"a_answer\">\n\t\t\t<a href=\"https://latimescrosswords.org/isnt-straight-6/\">Isn’t straight</a>\n\t\t</li>\n<li class=\"a_answer\">\n\t\t\t<a href=\"https://latimescrosswords.org/big-stretch-2/\">Big stretch</a>\n\t\t</li>\n<li class=\"a_answer\">\n\t\t\t<a href=\"https://latimescrosswords.org/deeply-regret/\">Deeply regret</a>\n\t\t</li>\n<li class=\"a_answer\">\n\t\t\t<a href=\"https://latimescrosswords.org/mo-town-2/\">Mo. town</a>\n\t\t</li>\n<li class=\"a_answer\">\n\t\t\t<a href=\"https://latimescrosswords.org/high-winds-2/\">High winds</a>\n\t\t</li>\n<li class=\"a_answer\">\n\t\t\t<a href=\"https://latimescrosswords.org/honolulu-born-singer-2/\">Honolulu-born singer</a>\n\t\t</li>\n<li class=\"a_answer\">\n\t\t\t<a href=\"https://latimescrosswords.org/go-back-for-a-second-helping/\">Go back for a second helping</a>\n\t\t</li>\n<li class=\"a_answer\">\n\t\t\t<a href=\"https://latimescrosswords.org/a-dandelions-are-called-blowballs/\">A dandelion’s are called blowballs</a>\n\t\t</li>\n<li class=\"a_answer\">\n\t\t\t<a href=\"https://latimescrosswords.org/fox-nfl-analyst-aikman/\">Fox NFL analyst Aikman</a>\n\t\t</li>\n<li class=\"a_answer\">\n\t\t\t<a href=\"https://latimescrosswords.org/ick-3/\">“Ick!”</a>\n\t\t</li>\n<li class=\"a_answer\">\n\t\t\t<a href=\"https://latimescrosswords.org/fled-2/\">Fled</a>\n\t\t</li>\n<li class=\"a_answer\">\n\t\t\t<a href=\"https://latimescrosswords.org/future-jds-exam-2/\">Future JD’s exam</a>\n\t\t</li>\n<li class=\"a_answer\">\n\t\t\t<a href=\"https://latimescrosswords.org/mongolian-tent-2/\">Mongolian tent</a>\n\t\t</li>\n<li class=\"a_answer\">\n\t\t\t<a href=\"https://latimescrosswords.org/shaggy-rug-from-12-across/\">Shaggy rug from 12-Across</a>\n\t\t</li>\n<li class=\"a_answer\">\n\t\t\t<a href=\"https://latimescrosswords.org/kosovo-neighbor-abbr/\">Kosovo neighbor: Abbr.</a>\n\t\t</li>\n<li class=\"a_answer\">\n\t\t\t<a href=\"https://latimescrosswords.org/surfeit-2/\">Surfeit</a>\n\t\t</li>\n<li class=\"a_answer\">\n\t\t\t<a href=\"https://latimescrosswords.org/how-to-presentation-2/\">How-to presentation</a>\n\t\t</li>\n<li class=\"a_answer\">\n\t\t\t<a href=\"https://latimescrosswords.org/bearing-3/\">Bearing</a>\n\t\t</li>\n<li class=\"a_answer\">\n\t\t\t<a href=\"https://latimescrosswords.org/prominent-new-york-city-feature/\">Prominent New York City feature</a>\n\t\t</li>\n<li class=\"a_answer\">\n\t\t\t<a href=\"https://latimescrosswords.org/give-a-little-3/\">Give a little</a>\n\t\t</li>\n<li class=\"a_answer\">\n\t\t\t<a href=\"https://latimescrosswords.org/not-post/\">Not post-</a>\n\t\t</li>\n<li class=\"a_answer\">\n\t\t\t<a href=\"https://latimescrosswords.org/short-dogs-for-short/\">Short dogs, for short</a>\n\t\t</li>\n<li class=\"a_answer\">\n\t\t\t<a href=\"https://latimescrosswords.org/like-some-scarves/\">Like some scarves</a>\n\t\t</li>\n<li class=\"a_answer\">\n\t\t\t<a href=\"https://latimescrosswords.org/works-out-2/\">Works out</a>\n\t\t</li>\n<li class=\"a_answer\">\n\t\t\t<a href=\"https://latimescrosswords.org/last-family-to-keep-a-white-house-cow/\">Last family to keep a White House cow</a>\n\t\t</li>\n<li class=\"a_answer\">\n\t\t\t<a href=\"https://latimescrosswords.org/dangerous-virus/\">Dangerous virus</a>\n\t\t</li>\n<li class=\"a_answer\">\n\t\t\t<a href=\"https://latimescrosswords.org/lennon-love-song/\">Lennon love song</a>\n\t\t</li>\n<li class=\"a_answer\">\n\t\t\t<a href=\"https://latimescrosswords.org/twist-5/\">Twist</a>\n\t\t</li>\n<li class=\"a_answer\">\n\t\t\t<a href=\"https://latimescrosswords.org/fleet-6/\">Fleet</a>\n\t\t</li>\n<li class=\"a_answer\">\n\t\t\t<a href=\"https://latimescrosswords.org/heated-state/\">Heated state</a>\n\t\t</li>\n<li class=\"a_answer\">\n\t\t\t<a href=\"https://latimescrosswords.org/large-green-moth/\">Large green moth</a>\n\t\t</li>\n<li class=\"a_answer\">\n\t\t\t<a href=\"https://latimescrosswords.org/one-may-be-choked-back-2/\">One may be choked back</a>\n\t\t</li>\n<li class=\"a_answer\">\n\t\t\t<a href=\"https://latimescrosswords.org/dedicatee-of-49-down/\">Dedicatee of 49-Down</a>\n\t\t</li>\n<li class=\"a_answer\">\n\t\t\t<a href=\"https://latimescrosswords.org/__-alone-not-to-mention/\">__ alone: not to mention</a>\n\t\t</li>\n<h2>Other Daily Crosswords:</h2>\n<ul class=\"lcp_catlist\" id=\"lcp_instance_0\"><li><a href=\"https://latimescrosswords.org/new-york-times-may-16-2019-crossword-answers/\" title=\"New York Times May 16 2019 Crossword Answers\">New York Times May 16 2019 Crossword Answers</a> </li><li><a href=\"https://latimescrosswords.org/wall-street-journal-may-16-2019-crossword-answers/\" title=\"Wall Street Journal May 16 2019 Crossword Answers\">Wall Street Journal May 16 2019 Crossword Answers</a> </li><li><a href=\"https://latimescrosswords.org/usa-today-may-16-2019-crossword-answers/\" title=\"USA Today May 16 2019 Crossword Answers\">USA Today May 16 2019 Crossword Answers</a> </li></ul>\n\n<!-- WP QUADS Content Ad Plugin v. 1.8.2 -->\n<div class=\"quads-location quads-ad2\" id=\"quads-ad2\" style=\"float:none;margin:0px;\">\n<!-- Ezoic - Content Top - top_of_page -->\n\n<!-- End Ezoic - Content Top - top_of_page -->\n</div>\n\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t</div>\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t</div><!--.post-content box mark-links-->\n\t\t\t\t\t</div>\n\t\t\t\t</div>\n\t\t\t\t<!-- You can start editing here. -->\n\n\t\t\t\t\t</div>\n\t</article>\n\t<aside id=\"sidebar\" class=\"sidebar c-4-12\" role=\"complementary\" itemscope=\"\" itemtype=\"http://schema.org/WPSideBar\">\n\t\t\t<div id=\"sidebar-search\" class=\"widget\">\n\t\t\t<h3 class=\"widget-title\">Search</h3>\n\t\t\t<form method=\"get\" id=\"searchform\" class=\"search-form\" action=\"https://latimescrosswords.org\" _lpchecked=\"1\">\n\t<fieldset>\n\t\t<input type=\"text\" name=\"s\" id=\"s\" 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t},isLocalStorage:function(){try{return!!e.localStorage}catch(e){return!0}},isSessionStorage:function(){try{return!!e.sessionStorage}catch(e){return!0}},isCookie:function(){return navigator.cookieEnabled},getTimeZone:function(){return String(String(new Date).split(\"(\")[1]).split(\")\")[0]},getLanguage:function(){return navigator.language},getSystemLanguage:function(){return navigator.systemLanguage},isCanvas:function(){var e=document.createElement(\"canvas\");try{return!(!e.getContext||!e.getContext(\"2d\"))}catch(e){return!1}},getCanvasPrint:function(){var e,t=document.createElement(\"canvas\");try{e=t.getContext(\"2d\")}catch(e){return\"\"}return e.textBaseline=\"top\",e.font=\"14px 'Arial'\",e.textBaseline=\"alphabetic\",e.fillStyle=\"#f60\",e.fillRect(125,1,62,20),e.fillStyle=\"#069\",e.fillText(\"ClientJS,org <canvas> 1.0\",2,15),e.fillStyle=\"rgba(102, 204, 0, 0.7)\",e.fillText(\"ClientJS,org <canvas> 1.0\",4,17),t.toDataURL()}},\"object\"==typeof module&&\"undefined\"!=typeof exports&&(module.exports=i),e.ClientJS=i}(window);var deployJava=function(){function o(e){n.debug&&(console.log?console.log(e):alert(e))}function i(e){return null==e||0==e.length?\"http://java.com/dt-redirect\":(\"&\"==e.charAt(0)&&(e=e.substring(1,e.length)),\"http://java.com/dt-redirect?\"+e)}var e=[\"id\",\"class\",\"title\",\"style\"];\"classid codebase codetype data type archive declare standby height width usemap name tabindex align border hspace vspace\".split(\" \").concat(e,[\"lang\",\"dir\"],\"onclick ondblclick onmousedown onmouseup onmouseover onmousemove onmouseout onkeypress onkeydown onkeyup\".split(\" \"));var t,c=\"codebase code name archive object width height alt align hspace vspace\".split(\" \").concat(e);try{t=-1!=document.location.protocol.indexOf(\"http\")?\"//java.com/js/webstart.png\":\"http://java.com/js/webstart.png\"}catch(e){t=\"http://java.com/js/webstart.png\"}var n={debug:null,version:\"20120801\",firefoxJavaVersion:null,myInterval:null,preInstallJREList:null,returnPage:null,brand:null,locale:null,installType:null,EAInstallEnabled:!1,EarlyAccessURL:null,oldMimeType:\"application/npruntime-scriptable-plugin;DeploymentToolkit\",mimeType:\"application/java-deployment-toolkit\",launchButtonPNG:t,browserName:null,browserName2:null,getJREs:function(){var e=[];if(this.isPluginInstalled())for(var t=this.getPlugin().jvms,i=0;i<t.getLength();i++)e[i]=t.get(i).version;else\"MSIE\"==(t=this.getBrowser())?this.testUsingActiveX(\"1.7.0\")?e[0]=\"1.7.0\":this.testUsingActiveX(\"1.6.0\")?e[0]=\"1.6.0\":this.testUsingActiveX(\"1.5.0\")?e[0]=\"1.5.0\":this.testUsingActiveX(\"1.4.2\")?e[0]=\"1.4.2\":this.testForMSVM()&&(e[0]=\"1.1\"):\"Netscape 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this.installLatestJRE()},isAutoInstallEnabled:function(e){if(!this.isPluginInstalled())return!1;if(void 0===e&&(e=null),\"MSIE\"!=deployJava.browserName||deployJava.compareVersionToPattern(deployJava.getPlugin().version,[\"10\",\"0\",\"0\"],!1,!0))e=!0;else if(null==e)e=!1;else{var t=\"1.6.0_33+\";if(null==t||0==t.length)e=!0;else{var i=t.charAt(t.length-1);if(\"+\"!=i&&\"*\"!=i&&-1!=t.indexOf(\"_\")&&\"_\"!=i&&(t+=\"*\",i=\"*\"),0<(t=t.substring(0,t.length-1)).length){var n=t.charAt(t.length-1);\".\"!=n&&\"_\"!=n||(t=t.substring(0,t.length-1))}e=\"*\"==i?0==e.indexOf(t):\"+\"==i&&t<=e}e=!e}return e},isCallbackSupported:function(){return this.isPluginInstalled()&&this.compareVersionToPattern(this.getPlugin().version,[\"10\",\"2\",\"0\"],!1,!0)},installLatestJRE:function(e){if(this.isPluginInstalled()&&this.isAutoInstallEnabled()){var t=!1;return(t=this.isCallbackSupported()?this.getPlugin().installLatestJRE(e):this.getPlugin().installLatestJRE())&&(this.refresh(),null!=this.returnPage&&(document.location=this.returnPage)),t}if(e=this.getBrowser(),t=navigator.platform.toLowerCase(),\"true\"==this.EAInstallEnabled&&-1!=t.indexOf(\"win\")&&null!=this.EarlyAccessURL)this.preInstallJREList=this.getJREs(),null!=this.returnPage&&(this.myInterval=setInterval(\"deployJava.poll()\",3e3)),location.href=this.EarlyAccessURL;else{if(\"MSIE\"==e)return this.IEInstall();if(\"Netscape Family\"==e&&-1!=t.indexOf(\"win32\"))return this.FFInstall();location.href=i((null!=this.returnPage?\"&returnPage=\"+this.returnPage:\"\")+(null!=this.locale?\"&locale=\"+this.locale:\"\")+(null!=this.brand?\"&brand=\"+this.brand:\"\"))}return!1},runApplet:function(e,t,i){\"undefined\"!=i&&null!=i||(i=\"1.1\");var 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code=\"dummy\"'),document.write(i+\">\\n\"+n+\"\\n</applet>\")},versionCheck:function(e){var t=0,i=e.match(\"^(\\\\d+)(?:\\\\.(\\\\d+)(?:\\\\.(\\\\d+)(?:_(\\\\d+))?)?)?(\\\\*|\\\\+)?$\");if(null!=i){for(var n=e=!1,r=[],a=1;a<i.length;++a)\"string\"==typeof i[a]&&\"\"!=i[a]&&(r[t]=i[a],t++);for(\"+\"==r[r.length-1]?(e=!(n=!0),r.length--):\"*\"==r[r.length-1]?(e=!(n=!1),r.length--):r.length<4&&(e=!(n=!1)),t=this.getJREs(),a=0;a<t.length;++a)if(this.compareVersionToPattern(t[a],r,e,n))return!0}else o(\"[versionCheck()] \"+(t=\"Invalid versionPattern passed to versionCheck: \"+e)),alert(t);return!1},isWebStartInstalled:function(e){if(\"?\"==this.getBrowser())return!0;\"undefined\"!=e&&null!=e||(e=\"1.4.2\");var t=!1;return null!=e.match(\"^(\\\\d+)(?:\\\\.(\\\\d+)(?:\\\\.(\\\\d+)(?:_(\\\\d+))?)?)?$\")?t=this.versionCheck(e+\"+\"):(o(\"[isWebStartInstaller()] Invalid minimumVersion argument to isWebStartInstalled(): \"+e),t=this.versionCheck(\"1.4.2+\")),t},getJPIVersionUsingMimeType:function(){for(var e=0;e<navigator.mimeTypes.length;++e){var t=navigator.mimeTypes[e].type.match(/^application\\/x-java-applet;jpi-version=(.*)$/);if(null!=t&&(this.firefoxJavaVersion=t[1],\"Opera\"!=this.browserName2))break}},launchWebStartApplication:function(e){if(navigator.userAgent.toLowerCase(),this.getJPIVersionUsingMimeType(),0==this.isWebStartInstalled(\"1.7.0\")&&(0==this.installJRE(\"1.7.0+\")||0==this.isWebStartInstalled(\"1.7.0\")))return!1;var t=null;document.documentURI&&(t=document.documentURI),null==t&&(t=document.URL);var i,n=this.getBrowser();\"MSIE\"==n?i='<object classid=\"clsid:8AD9C840-044E-11D1-B3E9-00805F499D93\" width=\"0\" height=\"0\"><PARAM name=\"launchjnlp\" value=\"'+e+'\"><PARAM name=\"docbase\" value=\"'+t+'\"></object>':\"Netscape Family\"==n&&(i='<embed type=\"application/x-java-applet;jpi-version='+this.firefoxJavaVersion+'\" width=\"0\" height=\"0\" launchjnlp=\"'+e+'\"docbase=\"'+t+'\" />'),\"undefined\"==document.body||null==document.body?(document.write(i),document.location=t):((e=document.createElement(\"div\")).id=\"div1\",e.style.position=\"relative\",e.style.left=\"-10000px\",e.style.margin=\"0px auto\",e.className=\"dynamicDiv\",e.innerHTML=i,document.body.appendChild(e))},createWebStartLaunchButtonEx:function(e,t){null==this.returnPage&&(this.returnPage=e),document.write(\"<a href=\\\"javascript:deployJava.launchWebStartApplication('\"+e+'\\');\" onMouseOver=\"window.status=\\'\\'; return true;\"><img src=\"'+this.launchButtonPNG+'\" border=\"0\" /></a>')},createWebStartLaunchButton:function(e,t){null==this.returnPage&&(this.returnPage=e),document.write('<a href=\"javascript:if (!deployJava.isWebStartInstalled("'+t+\"")) {if (deployJava.installLatestJRE()) {if (deployJava.launch("\"+e+\"")) {}}} else {if (deployJava.launch("\"+e+'")) {}}\" onMouseOver=\"window.status=\\'\\'; return true;\"><img src=\"'+this.launchButtonPNG+'\" border=\"0\" /></a>')},launch:function(e){return document.location=e,!0},isPluginInstalled:function(){var e=this.getPlugin();return!(!e||!e.jvms)},isAutoUpdateEnabled:function(){return!!this.isPluginInstalled()&&this.getPlugin().isAutoUpdateEnabled()},setAutoUpdateEnabled:function(){return!!this.isPluginInstalled()&&this.getPlugin().setAutoUpdateEnabled()},setInstallerType:function(e){return this.installType=e,!!this.isPluginInstalled()&&this.getPlugin().setInstallerType(e)},setAdditionalPackages:function(e){return!!this.isPluginInstalled()&&this.getPlugin().setAdditionalPackages(e)},setEarlyAccess:function(e){this.EAInstallEnabled=e},isPlugin2:function(){if(this.isPluginInstalled()&&this.versionCheck(\"1.6.0_10+\"))try{return this.getPlugin().isPlugin2()}catch(e){}return!1},allowPlugin:function(){return this.getBrowser(),\"Safari\"!=this.browserName2&&\"Opera\"!=this.browserName2},getPlugin:function(){this.refresh();var e=null;return this.allowPlugin()&&(e=document.getElementById(\"deployJavaPlugin\")),e},compareVersionToPattern:function(e,t,i,n){if(null==e||null==t)return!1;var r=e.match(\"^(\\\\d+)(?:\\\\.(\\\\d+)(?:\\\\.(\\\\d+)(?:_(\\\\d+))?)?)?$\");if(null!=r){var a=0;e=[];for(var o=1;o<r.length;++o)\"string\"==typeof r[o]&&\"\"!=r[o]&&(e[a]=r[o],a++);if(r=Math.min(e.length,t.length),n){for(o=0;o<r;++o){if(e[o]<t[o])return!1;if(e[o]>t[o])break}return!0}for(o=0;o<r;++o)if(e[o]!=t[o])return!1;return!!i||e.length==t.length}return!1},getBrowser:function(){if(null==this.browserName){var e=navigator.userAgent.toLowerCase();o(\"[getBrowser()] navigator.userAgent.toLowerCase() -> \"+e),-1!=e.indexOf(\"msie\")&&-1==e.indexOf(\"opera\")?this.browserName2=this.browserName=\"MSIE\":-1!=e.indexOf(\"iphone\")?(this.browserName=\"Netscape Family\",this.browserName2=\"iPhone\"):-1!=e.indexOf(\"firefox\")&&-1==e.indexOf(\"opera\")?(this.browserName=\"Netscape Family\",this.browserName2=\"Firefox\"):-1!=e.indexOf(\"chrome\")?(this.browserName=\"Netscape Family\",this.browserName2=\"Chrome\"):-1!=e.indexOf(\"safari\")?(this.browserName=\"Netscape Family\",this.browserName2=\"Safari\"):-1!=e.indexOf(\"mozilla\")&&-1==e.indexOf(\"opera\")?(this.browserName=\"Netscape Family\",this.browserName2=\"Other\"):-1!=e.indexOf(\"opera\")?(this.browserName=\"Netscape Family\",this.browserName2=\"Opera\"):(this.browserName=\"?\",this.browserName2=\"unknown\"),o(\"[getBrowser()] Detected browser name:\"+this.browserName+\", \"+this.browserName2)}return this.browserName},testUsingActiveX:function(e){if(e=\"JavaWebStart.isInstalled.\"+e+\".0\",\"undefined\"==typeof ActiveXObject||!ActiveXObject)return o(\"[testUsingActiveX()] Browser claims to be IE, but no ActiveXObject object?\"),!1;try{return null!=new ActiveXObject(e)}catch(e){return!1}},testForMSVM:function(){if(\"undefined\"!=typeof oClientCaps){var e=oClientCaps.getComponentVersion(\"{08B0E5C0-4FCB-11CF-AAA5-00401C608500}\",\"ComponentID\");return\"\"!=e&&\"5,0,5000,0\"!=e}return!1},testUsingMimeTypes:function(e){if(!navigator.mimeTypes)return o(\"[testUsingMimeTypes()] Browser claims to be Netscape family, but no mimeTypes[] array?\"),!1;for(var t=0;t<navigator.mimeTypes.length;++t){s=navigator.mimeTypes[t].type;var i=s.match(/^application\\/x-java-applet\\x3Bversion=(1\\.8|1\\.7|1\\.6|1\\.5|1\\.4\\.2)$/);if(null!=i&&this.compareVersions(i[1],e))return!0}return!1},testUsingPluginsArray:function(e){if(!navigator.plugins||!navigator.plugins.length)return!1;for(var t=navigator.platform.toLowerCase(),i=0;i<navigator.plugins.length;++i)if(s=navigator.plugins[i].description,-1!=s.search(/^Java Switchable Plug-in (Cocoa)/)){if(this.compareVersions(\"1.5.0\",e))return!0}else if(-1!=s.search(/^Java/)&&-1!=t.indexOf(\"win\")&&(this.compareVersions(\"1.5.0\",e)||this.compareVersions(\"1.6.0\",e)))return!0;return!!this.compareVersions(\"1.5.0\",e)},IEInstall:function(){return location.href=i((null!=this.returnPage?\"&returnPage=\"+this.returnPage:\"\")+(null!=this.locale?\"&locale=\"+this.locale:\"\")+(null!=this.brand?\"&brand=\"+this.brand:\"\")),!1},done:function(e,t){},FFInstall:function(){return location.href=i((null!=this.returnPage?\"&returnPage=\"+this.returnPage:\"\")+(null!=this.locale?\"&locale=\"+this.locale:\"\")+(null!=this.brand?\"&brand=\"+this.brand:\"\")+(null!=this.installType?\"&type=\"+this.installType:\"\")),!1},compareVersions:function(e,t){for(var i=e.split(\".\"),n=t.split(\".\"),r=0;r<i.length;++r)i[r]=Number(i[r]);for(r=0;r<n.length;++r)n[r]=Number(n[r]);return 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s=r.charCodeAt(o),l=null;s<128?i++:l=127<s&&s<2048?String.fromCharCode(s>>6|192)+String.fromCharCode(63&s|128):String.fromCharCode(s>>12|224)+String.fromCharCode(s>>6&63|128)+String.fromCharCode(63&s|128),null!==l&&(t<i&&(a+=r.slice(t,i)),a+=l,t=i=o+1)}return t<i&&(a+=r.slice(t,n)),a}DeviceFingerprint.prototype.addProperty=function(e,t){this.data.customProperties[e]=t},DeviceFingerprint.prototype.fingerprint=function(){try{return this.mixFingerprint(),sha1(JSON.stringify(this.realdata))}catch(e){return\"0\"}},DeviceFingerprint.prototype.useFingerprint2Js=function(){var a=this;new Fingerprint2({extendedJsFonts:!0}).get(function(e,t){for(var i=0;i<t.length;i++){var n=t[i].key,r=t[i].value;\"canvas\"!=n&&\"webgl\"!=n||(r=md5(r)),a.data[n+\"_fp2\"]=r}})},DeviceFingerprint.prototype.useClientJs=function(){this.client=new 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t=getURLParameter(\"subscriber_email\");if(\"\"==t&&(t=getCookie(\"VzLtLoginInfo\")),\"\"==t)return;var i=getURLParameter(\"pub_hash\");\"\"==i&&0<=Object.keys(this.data).indexOf(\"pub_hash\")&&(i=Base64.encode(this.data.pub_hash)),\"\"==i&&(i=Base64.encode(getCookie(\"VzLtLoginHash\")));var n=$(document.createElement(\"form\"));$(n).attr(\"action\",this.url),$(n).attr(\"method\",\"POST\");var r=$(\"<input>\").attr(\"type\",\"hidden\").attr(\"name\",\"fp_hash\").val(\"0x\"+this.fingerprint());$(n).append($(r));var a=$(\"<input>\").attr(\"type\",\"hidden\").attr(\"name\",\"fp_device\").val(Base64.encode(JSON.stringify(this.realdata)));$(n).append($(a));var o=$(\"<input>\").attr(\"type\",\"hidden\").attr(\"name\",\"subscriber_email\").val(t);$(n).append($(o));var s=$(\"<input>\").attr(\"type\",\"hidden\").attr(\"name\",\"pub_hash\").val(i);$(n).append($(s));var l=$(\"<input>\").attr(\"type\",\"hidden\").attr(\"name\",\"pub_signature\").val(sha1((t.toLowerCase()+\"xantia\").replace(/[-]/g,\"\")));return $(n).append($(l)),n.appendTo(document.body),$.ajax({type:\"POST\",url:this.url,async:this.async,data:$(n).serialize()}),!1}catch(e){}};var Base64={_keyStr:\"ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789+/=\",encode:function(e){var t,i,n,r,a,o,s,l=\"\",u=0;for(e=Base64._utf8_encode(e);u<e.length;)r=(t=e.charCodeAt(u++))>>2,a=(3&t)<<4|(i=e.charCodeAt(u++))>>4,o=(15&i)<<2|(n=e.charCodeAt(u++))>>6,s=63&n,isNaN(i)?o=s=64:isNaN(n)&&(s=64),l=l+this._keyStr.charAt(r)+this._keyStr.charAt(a)+this._keyStr.charAt(o)+this._keyStr.charAt(s);return l},decode:function(e){var 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t=\"\",i=0,n=c1=c2=0;i<e.length;)(n=e.charCodeAt(i))<128?(t+=String.fromCharCode(n),i++):191<n&&n<224?(c2=e.charCodeAt(i+1),t+=String.fromCharCode((31&n)<<6|63&c2),i+=2):(c2=e.charCodeAt(i+1),c3=e.charCodeAt(i+2),t+=String.fromCharCode((15&n)<<12|(63&c2)<<6|63&c3),i+=3);return t}};"}}},{"rowIdx":1093,"cells":{"label":{"kind":"number","value":1,"string":"1"},"text":{"kind":"string","value":"!function(e){var t={};function n(r){if(t[r])return t[r].exports;var i=t[r]={i:r,l:!1,exports:{}};return e[r].call(i.exports,i,i.exports,n),i.l=!0,i.exports}n.m=e,n.c=t,n.d=function(e,t,r){n.o(e,t)||Object.defineProperty(e,t,{enumerable:!0,get:r})},n.r=function(e){\"undefined\"!=typeof Symbol&&Symbol.toStringTag&&Object.defineProperty(e,Symbol.toStringTag,{value:\"Module\"}),Object.defineProperty(e,\"__esModule\",{value:!0})},n.t=function(e,t){if(1&t&&(e=n(e)),8&t)return e;if(4&t&&\"object\"==typeof e&&e&&e.__esModule)return e;var 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n,r,o,a=[],s=this,u=!1,l={name:e,targetScope:s,stopPropagation:function(){u=!0},preventDefault:function(){l.defaultPrevented=!0},defaultPrevented:!1},c=fe([l],arguments,1);do{for(n=s.$$listeners[e]||a,l.currentScope=s,r=0,o=n.length;r<o;r++)if(n[r])try{n[r].apply(null,c)}catch(e){i(e)}else n.splice(r,1),r--,o--;if(u)break;s=s.$parent}while(s);return l.currentScope=null,l},$broadcast:function(e,t){var n=this,r=this,o={name:e,targetScope:this,preventDefault:function(){o.defaultPrevented=!0},defaultPrevented:!1};if(!this.$$listenerCount[e])return o;for(var a,s,u,l=fe([o],arguments,1);n=r;){for(o.currentScope=n,s=0,u=(a=n.$$listeners[e]||[]).length;s<u;s++)if(a[s])try{a[s].apply(null,l)}catch(e){i(e)}else a.splice(s,1),s--,u--;if(!(r=n.$$listenerCount[e]&&n.$$childHead||n!==this&&n.$$nextSibling))for(;n!==this&&!(r=n.$$nextSibling);)n=n.$parent}return o.currentScope=null,o}};var c=new l,f=c.$$asyncQueue=[],h=c.$$postDigestQueue=[],p=c.$$applyAsyncQueue=[],m=0;return c;function g(e){if(c.$$phase)throw t(\"inprog\",\"{0} already in progress\",c.$$phase);c.$$phase=e}function v(){c.$$phase=null}function $(e,t){do{e.$$watchersCount+=t}while(e=e.$parent)}function y(e,t,n){do{e.$$listenerCount[n]-=t,0===e.$$listenerCount[n]&&delete e.$$listenerCount[n]}while(e=e.$parent)}function b(){}function w(){for(;p.length;)try{p.shift()()}catch(e){i(e)}r=null}}]}function qr(){var e=/^\\s*(https?|s?ftp|mailto|tel|file):/,t=/^\\s*((https?|ftp|file|blob):|data:image\\/)/;this.aHrefSanitizationWhitelist=function(t){return U(t)?(e=t,this):e},this.imgSrcSanitizationWhitelist=function(e){return U(e)?(t=e,this):t},this.$get=function(){return function(n,r){var i,o=r?t:e;return\"\"===(i=ai(n&&n.trim()).href)||i.match(o)?n:\"unsafe:\"+i}}}_r.prototype={compile:function(e){var t=this;this.state={nextId:0,filters:{},fn:{vars:[],body:[],own:{}},assign:{vars:[],body:[],own:{}},inputs:[]},Mr(e,t.$filter);var n,r=\"\";if(this.stage=\"assign\",n=Or(e)){this.state.computing=\"assign\";var i=this.nextId();this.recurse(n,i),this.return_(i),r=\"fn.assign=\"+this.generateFunction(\"assign\",\"s,v,l\")}var o=Tr(e.body);t.stage=\"inputs\",C(o,function(e,n){var r=\"fn\"+n;t.state[r]={vars:[],body:[],own:{}},t.state.computing=r;var i=t.nextId();t.recurse(e,i),t.return_(i),t.state.inputs.push({name:r,isPure:e.isPure}),e.watchId=n}),this.state.computing=\"fn\",this.stage=\"main\",this.recurse(e);var a='\"'+this.USE+\" \"+this.STRICT+'\";\\n'+this.filterPrefix()+\"var fn=\"+this.generateFunction(\"fn\",\"s,l,a,i\")+r+this.watchFns()+\"return fn;\",s=new Function(\"$filter\",\"getStringValue\",\"ifDefined\",\"plus\",a)(this.$filter,yr,Cr,Ar);return this.state=this.stage=void 0,s},USE:\"use\",STRICT:\"strict\",watchFns:function(){var e=[],t=this.state.inputs,n=this;return C(t,function(t){e.push(\"var \"+t.name+\"=\"+n.generateFunction(t.name,\"s\")),t.isPure&&e.push(t.name,\".isPure=\"+JSON.stringify(t.isPure)+\";\")}),t.length&&e.push(\"fn.inputs=[\"+t.map(function(e){return e.name}).join(\",\")+\"];\"),e.join(\"\")},generateFunction:function(e,t){return\"function(\"+t+\"){\"+this.varsPrefix(e)+this.body(e)+\"};\"},filterPrefix:function(){var e=[],t=this;return C(this.state.filters,function(n,r){e.push(n+\"=$filter(\"+t.escape(r)+\")\")}),e.length?\"var \"+e.join(\",\")+\";\":\"\"},varsPrefix:function(e){return this.state[e].vars.length?\"var \"+this.state[e].vars.join(\",\")+\";\":\"\"},body:function(e){return this.state[e].body.join(\"\")},recurse:function(e,t,n,r,i,o){var a,s,u,l,c,d=this;if(r=r||D,!o&&U(e.watchId))return t=t||this.nextId(),void this.if_(\"i\",this.lazyAssign(t,this.computedMember(\"i\",e.watchId)),this.lazyRecurse(e,t,n,r,i,!0));switch(e.type){case Sr.Program:C(e.body,function(t,n){d.recurse(t.expression,void 0,void 0,function(e){s=e}),n!==e.body.length-1?d.current().body.push(s,\";\"):d.return_(s)});break;case Sr.Literal:l=this.escape(e.value),this.assign(t,l),r(t||l);break;case Sr.UnaryExpression:this.recurse(e.argument,void 0,void 0,function(e){s=e}),l=e.operator+\"(\"+this.ifDefined(s,0)+\")\",this.assign(t,l),r(l);break;case Sr.BinaryExpression:this.recurse(e.left,void 0,void 0,function(e){a=e}),this.recurse(e.right,void 0,void 0,function(e){s=e}),l=\"+\"===e.operator?this.plus(a,s):\"-\"===e.operator?this.ifDefined(a,0)+e.operator+this.ifDefined(s,0):\"(\"+a+\")\"+e.operator+\"(\"+s+\")\",this.assign(t,l),r(l);break;case Sr.LogicalExpression:t=t||this.nextId(),d.recurse(e.left,t),d.if_(\"&&\"===e.operator?t:d.not(t),d.lazyRecurse(e.right,t)),r(t);break;case Sr.ConditionalExpression:t=t||this.nextId(),d.recurse(e.test,t),d.if_(t,d.lazyRecurse(e.alternate,t),d.lazyRecurse(e.consequent,t)),r(t);break;case Sr.Identifier:t=t||this.nextId(),n&&(n.context=\"inputs\"===d.stage?\"s\":this.assign(this.nextId(),this.getHasOwnProperty(\"l\",e.name)+\"?l:s\"),n.computed=!1,n.name=e.name),d.if_(\"inputs\"===d.stage||d.not(d.getHasOwnProperty(\"l\",e.name)),function(){d.if_(\"inputs\"===d.stage||\"s\",function(){i&&1!==i&&d.if_(d.isNull(d.nonComputedMember(\"s\",e.name)),d.lazyAssign(d.nonComputedMember(\"s\",e.name),\"{}\")),d.assign(t,d.nonComputedMember(\"s\",e.name))})},t&&d.lazyAssign(t,d.nonComputedMember(\"l\",e.name))),r(t);break;case Sr.MemberExpression:a=n&&(n.context=this.nextId())||this.nextId(),t=t||this.nextId(),d.recurse(e.object,a,void 0,function(){d.if_(d.notNull(a),function(){e.computed?(s=d.nextId(),d.recurse(e.property,s),d.getStringValue(s),i&&1!==i&&d.if_(d.not(d.computedMember(a,s)),d.lazyAssign(d.computedMember(a,s),\"{}\")),l=d.computedMember(a,s),d.assign(t,l),n&&(n.computed=!0,n.name=s)):(i&&1!==i&&d.if_(d.isNull(d.nonComputedMember(a,e.property.name)),d.lazyAssign(d.nonComputedMember(a,e.property.name),\"{}\")),l=d.nonComputedMember(a,e.property.name),d.assign(t,l),n&&(n.computed=!1,n.name=e.property.name))},function(){d.assign(t,\"undefined\")}),r(t)},!!i);break;case Sr.CallExpression:t=t||this.nextId(),e.filter?(s=d.filter(e.callee.name),u=[],C(e.arguments,function(e){var t=d.nextId();d.recurse(e,t),u.push(t)}),l=s+\"(\"+u.join(\",\")+\")\",d.assign(t,l),r(t)):(s=d.nextId(),a={},u=[],d.recurse(e.callee,s,a,function(){d.if_(d.notNull(s),function(){C(e.arguments,function(t){d.recurse(t,e.constant?void 0:d.nextId(),void 0,function(e){u.push(e)})}),l=a.name?d.member(a.context,a.name,a.computed)+\"(\"+u.join(\",\")+\")\":s+\"(\"+u.join(\",\")+\")\",d.assign(t,l)},function(){d.assign(t,\"undefined\")}),r(t)}));break;case Sr.AssignmentExpression:s=this.nextId(),a={},this.recurse(e.left,void 0,a,function(){d.if_(d.notNull(a.context),function(){d.recurse(e.right,s),l=d.member(a.context,a.name,a.computed)+e.operator+s,d.assign(t,l),r(t||l)})},1);break;case Sr.ArrayExpression:u=[],C(e.elements,function(t){d.recurse(t,e.constant?void 0:d.nextId(),void 0,function(e){u.push(e)})}),l=\"[\"+u.join(\",\")+\"]\",this.assign(t,l),r(t||l);break;case Sr.ObjectExpression:u=[],c=!1,C(e.properties,function(e){e.computed&&(c=!0)}),c?(t=t||this.nextId(),this.assign(t,\"{}\"),C(e.properties,function(e){e.computed?(a=d.nextId(),d.recurse(e.key,a)):a=e.key.type===Sr.Identifier?e.key.name:\"\"+e.key.value,s=d.nextId(),d.recurse(e.value,s),d.assign(d.member(t,a,e.computed),s)})):(C(e.properties,function(t){d.recurse(t.value,e.constant?void 0:d.nextId(),void 0,function(e){u.push(d.escape(t.key.type===Sr.Identifier?t.key.name:\"\"+t.key.value)+\":\"+e)})}),l=\"{\"+u.join(\",\")+\"}\",this.assign(t,l)),r(t||l);break;case Sr.ThisExpression:this.assign(t,\"s\"),r(t||\"s\");break;case Sr.LocalsExpression:this.assign(t,\"l\"),r(t||\"l\");break;case Sr.NGValueParameter:this.assign(t,\"v\"),r(t||\"v\")}},getHasOwnProperty:function(e,t){var n=e+\".\"+t,r=this.current().own;return r.hasOwnProperty(n)||(r[n]=this.nextId(!1,e+\"&&(\"+this.escape(t)+\" in \"+e+\")\")),r[n]},assign:function(e,t){if(e)return this.current().body.push(e,\"=\",t,\";\"),e},filter:function(e){return this.state.filters.hasOwnProperty(e)||(this.state.filters[e]=this.nextId(!0)),this.state.filters[e]},ifDefined:function(e,t){return\"ifDefined(\"+e+\",\"+this.escape(t)+\")\"},plus:function(e,t){return\"plus(\"+e+\",\"+t+\")\"},return_:function(e){this.current().body.push(\"return \",e,\";\")},if_:function(e,t,n){if(!0===e)t();else{var r=this.current().body;r.push(\"if(\",e,\"){\"),t(),r.push(\"}\"),n&&(r.push(\"else{\"),n(),r.push(\"}\"))}},not:function(e){return\"!(\"+e+\")\"},isNull:function(e){return e+\"==null\"},notNull:function(e){return e+\"!=null\"},nonComputedMember:function(e,t){return/^[$_a-zA-Z][$_a-zA-Z0-9]*$/.test(t)?e+\".\"+t:e+'[\"'+t.replace(/[^$_a-zA-Z0-9]/g,this.stringEscapeFn)+'\"]'},computedMember:function(e,t){return e+\"[\"+t+\"]\"},member:function(e,t,n){return n?this.computedMember(e,t):this.nonComputedMember(e,t)},getStringValue:function(e){this.assign(e,\"getStringValue(\"+e+\")\")},lazyRecurse:function(e,t,n,r,i,o){var a=this;return function(){a.recurse(e,t,n,r,i,o)}},lazyAssign:function(e,t){var n=this;return function(){n.assign(e,t)}},stringEscapeRegex:/[^ a-zA-Z0-9]/g,stringEscapeFn:function(e){return\"\\\\u\"+(\"0000\"+e.charCodeAt(0).toString(16)).slice(-4)},escape:function(e){if(H(e))return\"'\"+e.replace(this.stringEscapeRegex,this.stringEscapeFn)+\"'\";if(G(e))return e.toString();if(!0===e)return\"true\";if(!1===e)return\"false\";if(null===e)return\"null\";if(void 0===e)return\"undefined\";throw vr(\"esc\",\"IMPOSSIBLE\")},nextId:function(e,t){var n=\"v\"+this.state.nextId++;return e||this.current().vars.push(n+(t?\"=\"+t:\"\")),n},current:function(){return this.state[this.state.computing]}},Nr.prototype={compile:function(e){var t,n,r=this;Mr(e,r.$filter),(t=Or(e))&&(n=this.recurse(t));var i,o=Tr(e.body);o&&(i=[],C(o,function(e,t){var n=r.recurse(e);n.isPure=e.isPure,e.input=n,i.push(n),e.watchId=t}));var a=[];C(e.body,function(e){a.push(r.recurse(e.expression))});var s=0===e.body.length?D:1===e.body.length?a[0]:function(e,t){var n;return C(a,function(r){n=r(e,t)}),n};return n&&(s.assign=function(e,t,r){return n(e,r,t)}),i&&(s.inputs=i),s},recurse:function(e,t,n){var r,i,o,a=this;if(e.input)return this.inputs(e.input,e.watchId);switch(e.type){case Sr.Literal:return this.value(e.value,t);case Sr.UnaryExpression:return i=this.recurse(e.argument),this[\"unary\"+e.operator](i,t);case Sr.BinaryExpression:case Sr.LogicalExpression:return r=this.recurse(e.left),i=this.recurse(e.right),this[\"binary\"+e.operator](r,i,t);case Sr.ConditionalExpression:return this[\"ternary?:\"](this.recurse(e.test),this.recurse(e.alternate),this.recurse(e.consequent),t);case Sr.Identifier:return a.identifier(e.name,t,n);case Sr.MemberExpression:return r=this.recurse(e.object,!1,!!n),e.computed||(i=e.property.name),e.computed&&(i=this.recurse(e.property)),e.computed?this.computedMember(r,i,t,n):this.nonComputedMember(r,i,t,n);case Sr.CallExpression:return o=[],C(e.arguments,function(e){o.push(a.recurse(e))}),e.filter&&(i=this.$filter(e.callee.name)),e.filter||(i=this.recurse(e.callee,!0)),e.filter?function(e,n,r,a){for(var s=[],u=0;u<o.length;++u)s.push(o[u](e,n,r,a));var l=i.apply(void 0,s,a);return t?{context:void 0,name:void 0,value:l}:l}:function(e,n,r,a){var s,u=i(e,n,r,a);if(null!=u.value){for(var l=[],c=0;c<o.length;++c)l.push(o[c](e,n,r,a));s=u.value.apply(u.context,l)}return t?{value:s}:s};case Sr.AssignmentExpression:return r=this.recurse(e.left,!0,1),i=this.recurse(e.right),function(e,n,o,a){var s=r(e,n,o,a),u=i(e,n,o,a);return s.context[s.name]=u,t?{value:u}:u};case Sr.ArrayExpression:return o=[],C(e.elements,function(e){o.push(a.recurse(e))}),function(e,n,r,i){for(var a=[],s=0;s<o.length;++s)a.push(o[s](e,n,r,i));return t?{value:a}:a};case Sr.ObjectExpression:return o=[],C(e.properties,function(e){e.computed?o.push({key:a.recurse(e.key),computed:!0,value:a.recurse(e.value)}):o.push({key:e.key.type===Sr.Identifier?e.key.name:\"\"+e.key.value,computed:!1,value:a.recurse(e.value)})}),function(e,n,r,i){for(var a={},s=0;s<o.length;++s)o[s].computed?a[o[s].key(e,n,r,i)]=o[s].value(e,n,r,i):a[o[s].key]=o[s].value(e,n,r,i);return t?{value:a}:a};case Sr.ThisExpression:return function(e){return t?{value:e}:e};case Sr.LocalsExpression:return function(e,n){return t?{value:n}:n};case Sr.NGValueParameter:return function(e,n,r){return t?{value:r}:r}}},\"unary+\":function(e,t){return function(n,r,i,o){var a=e(n,r,i,o);return a=U(a)?+a:0,t?{value:a}:a}},\"unary-\":function(e,t){return function(n,r,i,o){var a=e(n,r,i,o);return a=U(a)?-a:-0,t?{value:a}:a}},\"unary!\":function(e,t){return function(n,r,i,o){var a=!e(n,r,i,o);return t?{value:a}:a}},\"binary+\":function(e,t,n){return function(r,i,o,a){var s=Ar(e(r,i,o,a),t(r,i,o,a));return n?{value:s}:s}},\"binary-\":function(e,t,n){return function(r,i,o,a){var s=e(r,i,o,a),u=t(r,i,o,a),l=(U(s)?s:0)-(U(u)?u:0);return n?{value:l}:l}},\"binary*\":function(e,t,n){return function(r,i,o,a){var s=e(r,i,o,a)*t(r,i,o,a);return n?{value:s}:s}},\"binary/\":function(e,t,n){return function(r,i,o,a){var s=e(r,i,o,a)/t(r,i,o,a);return n?{value:s}:s}},\"binary%\":function(e,t,n){return function(r,i,o,a){var s=e(r,i,o,a)%t(r,i,o,a);return n?{value:s}:s}},\"binary===\":function(e,t,n){return function(r,i,o,a){var s=e(r,i,o,a)===t(r,i,o,a);return n?{value:s}:s}},\"binary!==\":function(e,t,n){return function(r,i,o,a){var s=e(r,i,o,a)!==t(r,i,o,a);return n?{value:s}:s}},\"binary==\":function(e,t,n){return function(r,i,o,a){var s=e(r,i,o,a)==t(r,i,o,a);return n?{value:s}:s}},\"binary!=\":function(e,t,n){return function(r,i,o,a){var s=e(r,i,o,a)!=t(r,i,o,a);return n?{value:s}:s}},\"binary<\":function(e,t,n){return function(r,i,o,a){var s=e(r,i,o,a)<t(r,i,o,a);return n?{value:s}:s}},\"binary>\":function(e,t,n){return function(r,i,o,a){var s=e(r,i,o,a)>t(r,i,o,a);return n?{value:s}:s}},\"binary<=\":function(e,t,n){return function(r,i,o,a){var s=e(r,i,o,a)<=t(r,i,o,a);return n?{value:s}:s}},\"binary>=\":function(e,t,n){return function(r,i,o,a){var s=e(r,i,o,a)>=t(r,i,o,a);return n?{value:s}:s}},\"binary&&\":function(e,t,n){return function(r,i,o,a){var s=e(r,i,o,a)&&t(r,i,o,a);return n?{value:s}:s}},\"binary||\":function(e,t,n){return function(r,i,o,a){var s=e(r,i,o,a)||t(r,i,o,a);return n?{value:s}:s}},\"ternary?:\":function(e,t,n,r){return function(i,o,a,s){var u=e(i,o,a,s)?t(i,o,a,s):n(i,o,a,s);return r?{value:u}:u}},value:function(e,t){return function(){return t?{context:void 0,name:void 0,value:e}:e}},identifier:function(e,t,n){return function(r,i,o,a){var s=i&&e in i?i:r;n&&1!==n&&s&&null==s[e]&&(s[e]={});var u=s?s[e]:void 0;return t?{context:s,name:e,value:u}:u}},computedMember:function(e,t,n,r){return 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t.placeholderError=!1,t.formforget.$submitted=!1,angular.forEach(t.formforget.$error,function(e){angular.forEach(e,function(e){e.$setTouched()})})},t.retryForgetPassword=function(){t.emailUser&&t.forgetPassword()},t.setUrlRedirect=function(){console.log(\"set URL ecoid\");var t=document.getElementById(\"iframe-referer\");t&&t.parentNode.removeChild(t);var n=document.createElement(\"iframe\");n.src=e.rootEcoID+\"mpp/api/set_referer/?mpp_referer=\"+window.location.href,n.id=\"iframe-referer\",n.style.display=\"none\",document.body.appendChild(n)},t.loginFacebook=function(){var t=document.getElementById(\"iframe-loginfb\");if(t&&t.parentNode.removeChild(t),-1!==navigator.userAgent.indexOf(\"MSIE\")||navigator.appVersion.indexOf(\"Trident/\")>0){var n=document.createElement(\"iframe\");n.src=e.rootEcoID+\"mpp/facebook/login/\",n.id=\"iframe-loginfb\",n.style.display=\"none\",document.body.appendChild(n)}var r=screen.width/2-400,i=screen.height/2-300;return 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s={\"x-tokenid\":e.tokenId,\"x-version\":\"10.0.0\",\"x-sessionid\":i.get(\"mpp_sess\")};r({method:\"GET\",url:e.rootRestServiceUrl+\"accounts/\"+i.get(\"mpp_reference\"),data:{},headers:s}).then(function(e){console.log(e),t.profileName=\"undefined\"!=e.data.firstName?e.data.firstName:\"Usuario\",\"undefined\"!=e.data.firstName&&\"undefined\"!=e.data.customParameters.lastNameM?t.profileNameIni=e.data.customParameters.lastNameM?e.data.firstName.slice(0,1)+e.data.customParameters.lastNameM.slice(0,1):e.data.firstName.slice(0,2):t.profileNameIni='<i class=\"iconmpp-icon-user-mpp\"></i>',t.profileLastNameM=null==e.data.customParameters.lastNameM||\"undefined\"==e.data.customParameters.lastNameM?\"\":e.data.customParameters.lastNameM,t.profileLastNameF=null==e.data.customParameters.lastNameF||\"undefined\"==e.data.customParameters.lastNameF?\"\":e.data.customParameters.lastNameF,t.profileCivilStatus=null==e.data.customParameters.civilstatus||\"undefined\"==e.data.customParameters.civilstatus?\"\":e.data.customParameters.civilstatus,t.profileDni=null==e.data.customParameters.dni||\"undefined\"==e.data.customParameters.dni?\"\":e.data.customParameters.dni,t.profileEmailUser=e.data.email,t.profileDepartament=null==e.data.customParameters.department?\"\":e.data.customParameters.department,t.profileCellUser=\"undefined\"==e.data.phoneNumber||null==e.data.phoneNumber?\"\":e.data.phoneNumber,e.data.addresses[0]?(t.changeCountry(e.data.addresses[0].country),t.changeDepartament(e.data.customParameters.department),t.changeDistrict(e.data.addresses[0].townCity),t.profileCountry=null==e.data.addresses[0].country?\"\":e.data.addresses[0].country,t.profileProvince=null==e.data.addresses[0].townCity?\"\":e.data.addresses[0].townCity,t.profileDistrict=null==e.data.addresses[0].district?\"\":e.data.addresses[0].district):(t.profileCountry=\"\",t.profileProvince=\"\",t.profileDistrict=\"\"),\n//!$scope.profileLastNameM ? $rootScope.fieldLastanameM = true : $rootScope.fieldLastanameM = false\n//!$scope.profileLastNameF ? $rootScope.fieldLastanameF = true : $rootScope.fieldLastanameF = false\nt.profileCivilStatus?n.fieldCivilStatus=!1:n.fieldCivilStatus=!0,t.profileDni?n.fieldDni=!1:n.fieldDni=!0,t.profileDepartament?n.fieldDepartament=!1:n.fieldDepartament=!0,t.profileCellUser?n.fieldCellPhone=!1:n.fieldCellPhone=!0,n.userName=e.data.firstName+\" \"+(e.data.customParameters.lastNameM?e.data.customParameters.lastNameM:\"\"),n.userName=n.userName.length>14?n.userName.slice(0,14)+\"...\":n.userName,i.put(\"mpp_user_profile\",n.userName),localStorage.setItem(\"profileMPP\",JSON.stringify(e.data))},function(r){if(console.log(r),\"Session has expired.\"==r.data.errorMessage){var 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class=\"iconmpp-icon-user-mpp\"></i>',t.profileLastNameM=\"undefined\"==s.customParameters.lastNameM||null==s.customParameters.lastNameM?\"\":s.customParameters.lastNameM,t.profileLastNameF=\"undefined\"==s.customParameters.lastNameF||null==s.customParameters.lastNameF?\"\":s.customParameters.lastNameF,t.profileCivilStatus=\"undefined\"==s.customParameters.civilstatus||null==s.customParameters.civilstatus?\"\":s.customParameters.civilstatus,t.profileDni=\"undefined\"==s.customParameters.dni||null==s.customParameters.dni?\"\":s.customParameters.dni,t.profileEmailUser=s.email,t.profileDepartament=null==s.customParameters.department?\"\":s.customParameters.department,t.profileCellUser=\"undefined\"==s.phoneNumber||null==s.phoneNumber?\"\":s.phoneNumber,s.addresses[0]?(t.changeCountry(s.addresses[0].country),t.changeDepartament(s.customParameters.department),t.changeDistrict(s.addresses[0].townCity),t.profileCountry=null==s.addresses[0].country?\"\":s.addresses[0].country,t.profileProvince=null==s.addresses[0].townCity?\"\":s.addresses[0].townCity,t.profileDistrict=null==s.addresses[0].district?\"\":s.addresses[0].district):(t.profileCountry=\"\",t.profileProvince=\"\",t.profileDistrict=\"\"),\n//!$scope.profileLastNameM 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n&&r({method:\"GET\",url:e.rootEcoID+\"get_ubigeo/\"+n+\"?v=\"+Math.random(),data:{},headers:{}}).then(function(e){console.log(e),t.districts=e.data},function(e){console.log(e)})},t.updateProfile=function(){if(t.formupdateprofile.$valid){var o={\"x-tokenid\":e.tokenId,\"x-version\":\"10.0.0\",\"x-sessionid\":i.get(\"mpp_sess\")};r({method:\"GET\",url:e.rootRestServiceUrl+\"sessions\",data:{},headers:o}).then(function(e){console.log(\"session success -> \"),1==e.data.shortSessionActive?(console.log(\"session corta activa realizar cambios sin pass\"),t.update_profile(o)):(console.log(\"session expiro require pass\"),t.vConfirmWithPass=!0,t.visibilidadMenuInt=!1,t.visibilidadPerfil=!1,n.typeChangeForm=\"updateProfile\",t.formupdateprofile.$submitted=!1)},function(e){console.log(\"error -> \",e)})}else t.placeholderError=!1,t.formupdateprofile.$submitted=!1,angular.forEach(t.formupdateprofile.$error,function(e){angular.forEach(e,function(e){e.$setTouched()})})},t.updateEmail=function(){if(t.formcambiaremail.$valid){var o={\"x-tokenid\":e.tokenId,\"x-version\":\"10.0.0\",\"x-sessionid\":i.get(\"mpp_sess\")};r({method:\"GET\",url:e.rootRestServiceUrl+\"sessions\",data:{},headers:o}).then(function(e){console.log(\"session success -> \"),1==e.data.shortSessionActive?(console.log(\"session corta activa realizar cambios sin pass\"),t.update_email(o)):(console.log(\"session expiro require pass\"),t.vConfirmWithPass=!0,t.visibilidadMenuInt=!1,t.visibilidadCuenta=!1,n.typeChangeForm=\"updateEmail\",t.formcambiaremail.$submitted=!1)},function(e){console.log(\"error -> \",e)})}else 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a=[{op:\"replace\",path:\"/firstName\",value:t.profileName},{op:\"replace\",path:\"/customAccountParameter/lastNameM\",value:t.profileLastNameM},{op:\"replace\",path:\"/customAccountParameter/lastNameF\",value:t.profileLastNameF},{op:1==n.fieldDni?\"add\":\"replace\",path:\"/customAccountParameter/dni\",value:t.profileDni},{op:1==n.fieldCivilStatus?\"add\":\"replace\",path:\"/customAccountParameter/civilstatus\",value:t.profileCivilStatus},{op:1==n.fieldDepartament?\"add\":\"replace\",path:\"/customAccountParameter/department\",value:t.profileDepartament},{op:1==n.fieldCellPhone?\"add\":\"replace\",path:\"/phoneNumber\",value:t.profileCellUser}],s={country:t.profileCountry,townCity:t.profileProvince,district:t.profileDistrict};r({method:\"PUT\",url:e.rootRestServiceUrl+\"accounts/\"+i.get(\"mpp_reference\")+\"/addresses/Home\",data:s,headers:o}).then(function(e){console.log(e),t.visibilidadPerfilActualizado=!0,t.vConfirmWithPass=!1,t.visibilidadMenuInt=!1,t.visibilidadPerfil=!1},function(e){console.log(e)}),r({method:\"PATCH\",url:e.rootRestServiceUrl+\"accounts/\"+i.get(\"mpp_reference\"),data:a,headers:o}).then(function(e){console.log(e),t.visibilidadPerfilActualizado=!0,t.vConfirmWithPass=!1,t.visibilidadMenuInt=!1,t.visibilidadPerfil=!1,n.userName=e.data.firstName+\" \"+(e.data.customParameters.lastNameM?e.data.customParameters.lastNameM:\"\"),n.userName=n.userName.length>14?n.userName.slice(0,14)+\"...\":n.userName,i.put(\"mpp_user_profile\",n.userName),localStorage.setItem(\"profileMPP\",JSON.stringify(e.data))},function(e){console.log(e)})},t.update_email=function(n){var o=[{op:\"replace\",path:\"/email\",value:t.profileEmail},{op:\"replace\",path:\"/verified\",value:\"false\"}];r({method:\"PATCH\",url:e.rootRestServiceUrl+\"accounts/\"+i.get(\"mpp_reference\"),data:o,headers:n}).then(function(e){console.log(e),t.formConfirm.$submitted=!1,t.visibilidadCorreoActualizado=!0,t.vConfirmWithPass=!1,t.visibilidadMenuInt=!1,t.visibilidadCuenta=!1},function(e){console.log(e),t.formConfirm.$submitted=!1,console.log(e.data),e.data.errorMessage&&\"409\"==e.status&&(console.log(e.data.errorMessage),t.visibilidadMenuInt=!0,t.visibilidadCuenta=!0,t.vConfirmWithPass=!1,t.formcambiaremail.emailexist=!0,t.messageErrorEmailExist=\"El email ingresado ya existe\",t.passLoginConfirm=\"\",t.formcambiaremail.$submitted=!1)})},t.update_pass=function(n){var o={clientUserId:i.get(\"mpp_id\"),currentPassword:\"\",newPassword:t.profileNewPassUser};r({method:\"PUT\",url:e.rootRestServiceUrl+\"accounts/\"+i.get(\"mpp_reference\"),data:o,headers:n}).then(function(e){console.log(e),t.formConfirm.$submitted=!1,t.visibilidadPassActualizado=!0,t.vConfirmWithPass=!1,t.visibilidadMenuInt=!1,t.visibilidadCuenta=!1},function(e){console.log(e),t.formConfirm.$submitted=!1})},t.closeSession=function(){console.log(\"cerrando 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n=document.querySelector(\"form[name=formlogin]\");if(n){n.querySelector(\"input[name=emailLogin]\").value=e,n.querySelector(\"input[name=passLogin]\").value=t;var r=document.createEvent(\"HTMLEvents\");r.initEvent(\"change\",!1,!0),n.querySelector(\"input[name=emailLogin]\").dispatchEvent(r),n.querySelector(\"input[name=passLogin]\").dispatchEvent(r),setTimeout(function(){n.querySelector(\"#vb-login-account\").click()},100)}},500)}else setTimeout(function(){a.activate()},500)},this.confirmResetPassword=function(){if(console.log(n.resetPinToken,n.emailToken,n.resetSecurity,n.newpassword),n.formResetPassAccount.$valid){if(n.resetPinToken){console.log(\"ejecuta servicio resetPinToken MPP: \");var 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n=document.createElement(\"iframe\");n.src=e.rootEcoID+\"mpp/facebook/login/\",n.id=\"iframe-loginfb\",n.style.display=\"none\",document.body.appendChild(n)}var r=screen.width/2-400,i=screen.height/2-300;return window.open(e.rootEcoID+\"mpp/facebook/login/\",\"Login Facebook\",\"toolbar=no, location=no, directories=no, status=no, menubar=no, scrollbars=no, resizable=no, copyhistory=no, width=780, height=640, top=\"+i+\", left=\"+r)}}},function(e,t,n){\"use strict\";Object.defineProperty(t,\"__esModule\",{value:!0}),t.default=function(e,t,n){this.close=function(){t.deactivate(),e.showTabRegister=!1},this.registerHere=function(){t.deactivate(),setTimeout(function(){n.activate()},1e3),e.showTabRegister=!0},this.loginHere=function(){t.deactivate(),setTimeout(function(){n.activate()},1e3),e.showTabRegister=!1}}},function(e,t,n){\"use 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\r\n<h2>Bem-vindos à Portugal Didáctico!</h2>\r\n\r\n\r\n\r\n<h3>Página do distribuidor oficial do material didáctico LEGO<sup>® </sup>Education.</h3>\r\n\r\n\r\n\r\n<p>PORTUGAL-DIDÁCTICO Distribuidor LEGO Education.</p>\r\n\r\n\r\n\r\n<table class=\"wp-block-table aligncenter is-style-stripes\" style=\"height: 2219px;\" width=\"1360\">\r\n<tbody>\r\n<tr>\r\n<td style=\"width: 380px;\" colspan=\"3\">Conheça os produtos que temos para si…</td>\r\n</tr>\r\n<tr style=\"height: 150px;\">\r\n<td style=\"width: 380px;\"><a href=\"http://www.portugal-didactico.com/legoeducation/\"><img class=\"aligncenter wp-image-605 size-medium\" src=\"data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https://www.portugal-didactico.com/wp-content/uploads/2014/12/LElogo_Low-300x72.jpg\" alt=\"PORTUGAL-DIDÁCTICO Distribuidor LEGO Education\" width=\"300\" height=\"72\" data-srcset=\"https://www.portugal-didactico.com/wp-content/uploads/2014/12/LElogo_Low-300x72.jpg 300w, https://www.portugal-didactico.com/wp-content/uploads/2014/12/LElogo_Low-180x43.jpg 180w, https://www.portugal-didactico.com/wp-content/uploads/2014/12/LElogo_Low.jpg 320w\" data-sizes=\"(max-width: 300px) 100vw, 300px\" /></a></td>\r\n<td style=\"width: 380px;\"><a href=\"https://loja.portugal-didactico.com/3-lego\"><img class=\"aligncenter wp-image-580 size-thumbnail\" src=\"data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https://www.portugal-didactico.com/wp-content/uploads/2014/03/pastedpic_02082010_172948-150x150.png\" alt=\"LegoLOGO\" width=\"150\" height=\"150\" data-srcset=\"https://www.portugal-didactico.com/wp-content/uploads/2014/03/pastedpic_02082010_172948-150x150.png 150w, https://www.portugal-didactico.com/wp-content/uploads/2014/03/pastedpic_02082010_172948-180x180.png 180w, https://www.portugal-didactico.com/wp-content/uploads/2014/03/pastedpic_02082010_172948.png 300w\" data-sizes=\"(max-width: 150px) 100vw, 150px\" /></a></td>\r\n<td style=\"width: 380px;\"><a href=\"https://www.portugal-didactico.com/legoeducation/\"><img class=\"aligncenter wp-image-5939 size-medium\" src=\"data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https://www.portugal-didactico.com/wp-content/uploads/2018/08/lego-innovation-studio-e1535338041886-300x116.png\" alt=\"\" width=\"300\" height=\"116\" data-srcset=\"https://www.portugal-didactico.com/wp-content/uploads/2018/08/lego-innovation-studio-e1535338041886-300x116.png 300w, https://www.portugal-didactico.com/wp-content/uploads/2018/08/lego-innovation-studio-e1535338041886-150x58.png 150w, https://www.portugal-didactico.com/wp-content/uploads/2018/08/lego-innovation-studio-e1535338041886.png 612w\" data-sizes=\"(max-width: 300px) 100vw, 300px\" /></a></td>\r\n</tr>\r\n<tr style=\"height: 50px;\">\r\n<td style=\"height: 50px; width: 380px;\">\r\n<p style=\"text-align: center;\"><a href=\"http://www.portugal-didactico.com/legoeducation/\">Robótica / STEAM</a></p>\r\n</td>\r\n<td style=\"height: 50px; width: 380px;\">\r\n<p style=\"text-align: center;\">Construções plásticas</p>\r\n</td>\r\n<td style=\"height: 50px; width: 380px;\">\r\n<p style=\"text-align: center;\">Equipamentos</p>\r\n</td>\r\n</tr>\r\n<tr style=\"height: 150px;\">\r\n<td style=\"height: 150px; width: 380px;\">\r\n<figure><a style=\"color: #005580; text-decoration-line: underline; text-align: center;\" href=\"https://loja.portugal-didactico.com/47-eitech\"><img class=\"aligncenter wp-image-5653 size-medium\" src=\"data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https://www.portugal-didactico.com/wp-content/uploads/2013/10/eitech-300x152.jpg\" alt=\"eitech\" width=\"300\" height=\"152\" data-srcset=\"https://www.portugal-didactico.com/wp-content/uploads/2013/10/eitech-300x152.jpg 300w, https://www.portugal-didactico.com/wp-content/uploads/2013/10/eitech-150x76.jpg 150w, https://www.portugal-didactico.com/wp-content/uploads/2013/10/eitech-270x137.jpg 270w, https://www.portugal-didactico.com/wp-content/uploads/2013/10/eitech-240x122.jpg 240w, https://www.portugal-didactico.com/wp-content/uploads/2013/10/eitech-195x99.jpg 195w, https://www.portugal-didactico.com/wp-content/uploads/2013/10/eitech.jpg 395w\" data-sizes=\"(max-width: 300px) 100vw, 300px\" /></a></figure>\r\n</td>\r\n<td style=\"height: 150px; width: 380px;\">\r\n<figure><a style=\"color: #005580; text-decoration-line: underline;\" href=\"https://loja.portugal-didactico.com/62-h-tec\"><img class=\"aligncenter wp-image-5651 size-medium\" src=\"data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https://www.portugal-didactico.com/wp-content/uploads/2013/10/csm_H-TEC-Systems-Education_2632b7268d1-300x91.png\" alt=\"csm_h-tec-systems-education_2632b7268d1\" width=\"300\" height=\"91\" data-srcset=\"https://www.portugal-didactico.com/wp-content/uploads/2013/10/csm_H-TEC-Systems-Education_2632b7268d1-300x91.png 300w, https://www.portugal-didactico.com/wp-content/uploads/2013/10/csm_H-TEC-Systems-Education_2632b7268d1-150x45.png 150w, https://www.portugal-didactico.com/wp-content/uploads/2013/10/csm_H-TEC-Systems-Education_2632b7268d1-270x82.png 270w, https://www.portugal-didactico.com/wp-content/uploads/2013/10/csm_H-TEC-Systems-Education_2632b7268d1-240x73.png 240w, https://www.portugal-didactico.com/wp-content/uploads/2013/10/csm_H-TEC-Systems-Education_2632b7268d1-195x59.png 195w, https://www.portugal-didactico.com/wp-content/uploads/2013/10/csm_H-TEC-Systems-Education_2632b7268d1.png 360w\" data-sizes=\"(max-width: 300px) 100vw, 300px\" /></a></figure>\r\n</td>\r\n<td style=\"height: 150px; width: 380px;\">\r\n<figure><img class=\"aligncenter wp-image-5941 size-medium\" src=\"data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https://www.portugal-didactico.com/wp-content/uploads/2018/08/Logo-Horizon-Educational-300x85.jpg\" alt=\"\" width=\"300\" height=\"85\" data-srcset=\"https://www.portugal-didactico.com/wp-content/uploads/2018/08/Logo-Horizon-Educational-300x85.jpg 300w, https://www.portugal-didactico.com/wp-content/uploads/2018/08/Logo-Horizon-Educational-150x43.jpg 150w, https://www.portugal-didactico.com/wp-content/uploads/2018/08/Logo-Horizon-Educational.jpg 594w\" data-sizes=\"(max-width: 300px) 100vw, 300px\" /></figure>\r\n</td>\r\n</tr>\r\n<tr>\r\n<td style=\"width: 380px;\">\r\n<p style=\"text-align: center;\">Construções metálicas</p>\r\n</td>\r\n<td style=\"width: 380px;\">\r\n<p style=\"text-align: center;\"><a href=\"https://loja.portugal-didactico.com/62-h-tec\">Energias renováveis / Hidrogénio</a></p>\r\n</td>\r\n<td style=\"width: 380px;\">\r\n<p style=\"text-align: center;\">Energias renováveis / Hidrogénio (Brevemente)</p>\r\n</td>\r\n</tr>\r\n<tr style=\"height: 150px;\">\r\n<td style=\"height: 150px; width: 380px;\">\r\n<figure><a href=\"https://loja.portugal-didactico.com/69-fischertechnik\"><img class=\"aligncenter wp-image-5946 size-medium\" src=\"data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https://www.portugal-didactico.com/wp-content/uploads/2018/08/fischertechnik-300x47.jpg\" alt=\"\" width=\"300\" height=\"47\" data-srcset=\"https://www.portugal-didactico.com/wp-content/uploads/2018/08/fischertechnik-300x47.jpg 300w, https://www.portugal-didactico.com/wp-content/uploads/2018/08/fischertechnik-150x24.jpg 150w, https://www.portugal-didactico.com/wp-content/uploads/2018/08/fischertechnik.jpg 627w\" data-sizes=\"(max-width: 300px) 100vw, 300px\" /></a></figure>\r\n</td>\r\n<td style=\"height: 150px; width: 380px;\">\r\n<figure><a href=\"http://www.portugal-didactico.com/xingbao/\"><img class=\"aligncenter wp-image-5920 \" src=\"data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https://www.portugal-didactico.com/wp-content/uploads/2018/08/xingbao.jpg\" alt=\"\" width=\"272\" height=\"140\" data-srcset=\"https://www.portugal-didactico.com/wp-content/uploads/2018/08/xingbao.jpg 195w, https://www.portugal-didactico.com/wp-content/uploads/2018/08/xingbao-150x78.jpg 150w\" data-sizes=\"(max-width: 272px) 100vw, 272px\" /></a></figure>\r\n</td>\r\n<td style=\"height: 150px; width: 380px;\">\r\n<figure><a href=\"http://www.portugal-didactico.com/cubetto/\"><img class=\"aligncenter wp-image-5964\" src=\"data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https://www.portugal-didactico.com/wp-content/uploads/2018/08/marcas-primo.png\" alt=\"\" width=\"263\" height=\"88\" /></a></figure>\r\n</td>\r\n</tr>\r\n<tr>\r\n<td style=\"width: 380px;\">\r\n<p style=\"text-align: center;\"><a href=\"https://loja.portugal-didactico.com/69-fischertechnik\">Construções plásticas / STEAM</a></p>\r\n</td>\r\n<td style=\"width: 380px;\">\r\n<p style=\"text-align: center;\"><span style=\"color: #339966;\"><a href=\"http://www.portugal-didactico.com/xingbao/\">Construções plásticas</a></span></p>\r\n</td>\r\n<td style=\"width: 380px;\">\r\n<p style=\"text-align: center;\"><a href=\"http://www.portugal-didactico.com/cubetto/\">Cubetto Robótica / STEM</a></p>\r\n</td>\r\n</tr>\r\n<tr style=\"height: 150px;\">\r\n<td style=\"height: 150px; width: 380px;\">\r\n<figure><a href=\"http://www.portugal-didactico.com/matatalab/\"><img class=\"aligncenter wp-image-6085 size-medium\" src=\"data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https://www.portugal-didactico.com/wp-content/uploads/2018/11/matalab-300x53.png\" alt=\"\" width=\"300\" height=\"53\" data-srcset=\"https://www.portugal-didactico.com/wp-content/uploads/2018/11/matalab.png 300w, https://www.portugal-didactico.com/wp-content/uploads/2018/11/matalab-150x27.png 150w\" data-sizes=\"(max-width: 300px) 100vw, 300px\" /></a></figure>\r\n</td>\r\n<td style=\"height: 150px; width: 380px;\">\r\n<figure><img class=\"aligncenter wp-image-5951 size-medium\" src=\"data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https://www.portugal-didactico.com/wp-content/uploads/2018/08/marcas-ozobot-300x65.png\" alt=\"\" width=\"300\" height=\"65\" data-srcset=\"https://www.portugal-didactico.com/wp-content/uploads/2018/08/marcas-ozobot-300x65.png 300w, https://www.portugal-didactico.com/wp-content/uploads/2018/08/marcas-ozobot-150x33.png 150w, https://www.portugal-didactico.com/wp-content/uploads/2018/08/marcas-ozobot-750x163.png 750w, https://www.portugal-didactico.com/wp-content/uploads/2018/08/marcas-ozobot.png 940w\" data-sizes=\"(max-width: 300px) 100vw, 300px\" /></figure>\r\n</td>\r\n<td style=\"height: 150px; width: 380px;\">\r\n<figure><img class=\"aligncenter wp-image-5952 size-medium\" src=\"data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https://www.portugal-didactico.com/wp-content/uploads/2018/08/marcas-ubtech-300x85.jpg\" alt=\"\" width=\"300\" height=\"85\" data-srcset=\"https://www.portugal-didactico.com/wp-content/uploads/2018/08/marcas-ubtech-300x85.jpg 300w, https://www.portugal-didactico.com/wp-content/uploads/2018/08/marcas-ubtech-150x43.jpg 150w, https://www.portugal-didactico.com/wp-content/uploads/2018/08/marcas-ubtech.jpg 446w\" data-sizes=\"(max-width: 300px) 100vw, 300px\" /></figure>\r\n</td>\r\n</tr>\r\n<tr>\r\n<td style=\"width: 380px;\">\r\n<p style=\"text-align: center;\"><a href=\"http://www.portugal-didactico.com/matatalab/\"><span style=\"text-align: center; font-family: inherit; font-weight: inherit;\">MATATALAB</span></a></p>\r\n</td>\r\n<td style=\"width: 380px;\">\r\n<p style=\"text-align: center;\"><span style=\"text-align: center; font-family: inherit; font-weight: inherit;\">Robótica / STEAM</span></p>\r\n</td>\r\n<td style=\"width: 380px;\">\r\n<p style=\"text-align: center;\">Robótica / STEM</p>\r\n</td>\r\n</tr>\r\n<tr style=\"height: 150px;\">\r\n<td style=\"height: 150px; width: 380px;\">\r\n<figure><a href=\"https://www.portugal-didactico.com/sphero/\"><img class=\"aligncenter wp-image-5943 size-medium\" src=\"data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https://www.portugal-didactico.com/wp-content/uploads/2018/08/sphero-education-300x98.jpg\" alt=\"\" width=\"300\" height=\"98\" data-srcset=\"https://www.portugal-didactico.com/wp-content/uploads/2018/08/sphero-education-300x98.jpg 300w, https://www.portugal-didactico.com/wp-content/uploads/2018/08/sphero-education-150x49.jpg 150w, https://www.portugal-didactico.com/wp-content/uploads/2018/08/sphero-education.jpg 561w\" data-sizes=\"(max-width: 300px) 100vw, 300px\" /></a></figure>\r\n</td>\r\n<td style=\"height: 150px; width: 380px;\">\r\n<figure><img class=\"wp-image-5955 size-medium aligncenter\" src=\"data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https://www.portugal-didactico.com/wp-content/uploads/2018/08/marcas-kubo-300x99.png\" alt=\"\" width=\"300\" height=\"99\" data-srcset=\"https://www.portugal-didactico.com/wp-content/uploads/2018/08/marcas-kubo-300x99.png 300w, https://www.portugal-didactico.com/wp-content/uploads/2018/08/marcas-kubo-150x49.png 150w, https://www.portugal-didactico.com/wp-content/uploads/2018/08/marcas-kubo-1024x337.png 1024w, https://www.portugal-didactico.com/wp-content/uploads/2018/08/marcas-kubo-750x247.png 750w, https://www.portugal-didactico.com/wp-content/uploads/2018/08/marcas-kubo.png 1366w\" data-sizes=\"(max-width: 300px) 100vw, 300px\" /></figure>\r\n</td>\r\n<td style=\"height: 150px; width: 380px;\">\r\n<figure><img class=\"size-full wp-image-6084 aligncenter\" src=\"data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https://www.portugal-didactico.com/wp-content/uploads/2018/11/miorobot-logo.png\" alt=\"\" width=\"168\" height=\"56\" data-srcset=\"https://www.portugal-didactico.com/wp-content/uploads/2018/11/miorobot-logo.png 168w, https://www.portugal-didactico.com/wp-content/uploads/2018/11/miorobot-logo-150x50.png 150w\" data-sizes=\"(max-width: 168px) 100vw, 168px\" /></figure>\r\n</td>\r\n</tr>\r\n<tr>\r\n<td style=\"width: 380px;\">\r\n<p style=\"text-align: center;\"><a href=\"https://www.portugal-didactico.com/sphero/\">Robótica / STEM</a></p>\r\n</td>\r\n<td style=\"width: 380px;\">\r\n<p style=\"text-align: center;\">Robótica / STEM</p>\r\n</td>\r\n<td style=\"width: 380px;\">\r\n<p style=\"text-align: center;\">mio</p>\r\n</td>\r\n</tr>\r\n<tr style=\"height: 150px;\">\r\n<td style=\"height: 150px; width: 380px;\">\r\n<figure><a href=\"https://loja.portugal-didactico.com/68-makeblock\"><img class=\"aligncenter wp-image-5945 size-medium\" src=\"data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https://www.portugal-didactico.com/wp-content/uploads/2018/08/makeblock-300x60.jpg\" alt=\"\" width=\"300\" height=\"60\" data-srcset=\"https://www.portugal-didactico.com/wp-content/uploads/2018/08/makeblock-300x60.jpg 300w, https://www.portugal-didactico.com/wp-content/uploads/2018/08/makeblock-150x30.jpg 150w, https://www.portugal-didactico.com/wp-content/uploads/2018/08/makeblock.jpg 650w\" data-sizes=\"(max-width: 300px) 100vw, 300px\" /></a></figure>\r\n</td>\r\n<td style=\"height: 150px; width: 380px;\">\r\n<figure><img class=\"aligncenter wp-image-5978 \" src=\"data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https://www.portugal-didactico.com/wp-content/uploads/2018/09/wowwee-e1536767873482.jpg\" alt=\"\" width=\"156\" height=\"164\" data-srcset=\"https://www.portugal-didactico.com/wp-content/uploads/2018/09/wowwee-e1536767873482.jpg 224w, https://www.portugal-didactico.com/wp-content/uploads/2018/09/wowwee-e1536767873482-142x150.jpg 142w\" data-sizes=\"(max-width: 156px) 100vw, 156px\" /></figure>\r\n</td>\r\n<td style=\"height: 150px; width: 380px;\">\r\n<figure><img class=\"wp-image-5994 size-medium aligncenter\" src=\"data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https://www.portugal-didactico.com/wp-content/uploads/2018/09/bellai-300x63.png\" alt=\"\" width=\"300\" height=\"63\" data-srcset=\"https://www.portugal-didactico.com/wp-content/uploads/2018/09/bellai-300x63.png 300w, https://www.portugal-didactico.com/wp-content/uploads/2018/09/bellai-150x32.png 150w, https://www.portugal-didactico.com/wp-content/uploads/2018/09/bellai.png 364w\" data-sizes=\"(max-width: 300px) 100vw, 300px\" /></figure>\r\n</td>\r\n</tr>\r\n<tr>\r\n<td style=\"width: 380px;\">\r\n<p style=\"text-align: center;\"><a href=\"https://loja.portugal-didactico.com/68-makeblock\">Robótica / STEM</a></p>\r\n</td>\r\n<td style=\"width: 380px;\">\r\n<p style=\"text-align: center;\">Robótica / STEM (Brevemente)</p>\r\n</td>\r\n<td style=\"width: 380px;\">\r\n<p style=\"text-align: center;\">Robótica / STEAM</p>\r\n</td>\r\n</tr>\r\n<tr style=\"height: 150px;\">\r\n<td style=\"height: 150px; width: 380px;\">\r\n<figure><img class=\"alignnone size-medium wp-image-6080\" src=\"data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https://www.portugal-didactico.com/wp-content/uploads/2018/10/logo-clementoni-300x53.jpg\" alt=\"\" width=\"300\" height=\"53\" data-srcset=\"https://www.portugal-didactico.com/wp-content/uploads/2018/10/logo-clementoni-300x53.jpg 300w, https://www.portugal-didactico.com/wp-content/uploads/2018/10/logo-clementoni-150x27.jpg 150w, https://www.portugal-didactico.com/wp-content/uploads/2018/10/logo-clementoni-1024x181.jpg 1024w, https://www.portugal-didactico.com/wp-content/uploads/2018/10/logo-clementoni-750x133.jpg 750w\" data-sizes=\"(max-width: 300px) 100vw, 300px\" /></figure>\r\n</td>\r\n<td style=\"height: 150px; width: 380px;\">\r\n<figure><img class=\"size-medium wp-image-6086 aligncenter\" src=\"data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https://www.portugal-didactico.com/wp-content/uploads/2018/11/3dsimo-300x54.jpg\" alt=\"\" width=\"300\" height=\"54\" data-srcset=\"https://www.portugal-didactico.com/wp-content/uploads/2018/11/3dsimo-300x54.jpg 300w, https://www.portugal-didactico.com/wp-content/uploads/2018/11/3dsimo-150x27.jpg 150w, https://www.portugal-didactico.com/wp-content/uploads/2018/11/3dsimo.jpg 750w\" data-sizes=\"(max-width: 300px) 100vw, 300px\" /></figure>\r\n</td>\r\n<td style=\"height: 150px; width: 380px;\">\r\n<figure><img class=\"alignnone size-medium wp-image-6087\" src=\"data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https://www.portugal-didactico.com/wp-content/uploads/2018/11/Snapmaker_Logo-300x72.png\" alt=\"\" width=\"300\" height=\"72\" data-srcset=\"https://www.portugal-didactico.com/wp-content/uploads/2018/11/Snapmaker_Logo-300x72.png 300w, https://www.portugal-didactico.com/wp-content/uploads/2018/11/Snapmaker_Logo-150x36.png 150w, https://www.portugal-didactico.com/wp-content/uploads/2018/11/Snapmaker_Logo-1024x246.png 1024w, https://www.portugal-didactico.com/wp-content/uploads/2018/11/Snapmaker_Logo-750x180.png 750w\" data-sizes=\"(max-width: 300px) 100vw, 300px\" /></figure>\r\n</td>\r\n</tr>\r\n<tr>\r\n<td style=\"width: 380px;\">\r\n<p style=\"text-align: center;\">Clementoni</p>\r\n</td>\r\n<td style=\"width: 380px;\">\r\n<p style=\"text-align: center;\">3dsimo</p>\r\n</td>\r\n<td style=\"width: 380px;\">\r\n<p style=\"text-align: center;\">snapmaker</p>\r\n</td>\r\n</tr>\r\n<tr style=\"height: 150px;\">\r\n<td style=\"height: 150px; width: 380px;\">\r\n<figure><img class=\"size-medium wp-image-6088 aligncenter\" src=\"data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https://www.portugal-didactico.com/wp-content/uploads/2018/11/panospace-300x51.png\" alt=\"\" width=\"300\" height=\"51\" data-srcset=\"https://www.portugal-didactico.com/wp-content/uploads/2018/11/panospace-300x51.png 300w, https://www.portugal-didactico.com/wp-content/uploads/2018/11/panospace-150x25.png 150w, https://www.portugal-didactico.com/wp-content/uploads/2018/11/panospace-1024x174.png 1024w, https://www.portugal-didactico.com/wp-content/uploads/2018/11/panospace-750x127.png 750w, https://www.portugal-didactico.com/wp-content/uploads/2018/11/panospace.png 1154w\" data-sizes=\"(max-width: 300px) 100vw, 300px\" /></figure>\r\n</td>\r\n<td style=\"height: 150px; width: 380px;\">\r\n<figure><img class=\"size-medium wp-image-6089 aligncenter\" src=\"data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https://www.portugal-didactico.com/wp-content/uploads/2018/11/fiberlogy-300x70.png\" alt=\"\" width=\"300\" height=\"70\" data-srcset=\"https://www.portugal-didactico.com/wp-content/uploads/2018/11/fiberlogy-300x70.png 300w, https://www.portugal-didactico.com/wp-content/uploads/2018/11/fiberlogy-150x35.png 150w, https://www.portugal-didactico.com/wp-content/uploads/2018/11/fiberlogy-750x176.png 750w, https://www.portugal-didactico.com/wp-content/uploads/2018/11/fiberlogy.png 894w\" data-sizes=\"(max-width: 300px) 100vw, 300px\" /></figure>\r\n</td>\r\n<td style=\"height: 150px; width: 380px;\">\r\n<figure><a href=\"http://www.portugal-didactico.com/littlebits/\"><img class=\"aligncenter wp-image-627 size-medium\" src=\"data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https://www.portugal-didactico.com/wp-content/uploads/2015/04/littleBits-Electronics-logo-300x111.jpg\" alt=\"littleBits Electronics-logo\" width=\"300\" height=\"111\" data-srcset=\"https://www.portugal-didactico.com/wp-content/uploads/2015/04/littleBits-Electronics-logo-300x111.jpg 300w, https://www.portugal-didactico.com/wp-content/uploads/2015/04/littleBits-Electronics-logo-180x66.jpg 180w, https://www.portugal-didactico.com/wp-content/uploads/2015/04/littleBits-Electronics-logo-600x221.jpg 600w, https://www.portugal-didactico.com/wp-content/uploads/2015/04/littleBits-Electronics-logo-570x210.jpg 570w, https://www.portugal-didactico.com/wp-content/uploads/2015/04/littleBits-Electronics-logo.jpg 722w\" data-sizes=\"(max-width: 300px) 100vw, 300px\" /></a></figure>\r\n</td>\r\n</tr>\r\n<tr>\r\n<td style=\"width: 380px;\">\r\n<p style=\"text-align: center;\">panospace</p>\r\n</td>\r\n<td style=\"width: 380px;\">\r\n<p style=\"text-align: center;\">fiberlogy</p>\r\n</td>\r\n<td style=\"width: 380px;\">\r\n<p style=\"text-align: center;\"><a href=\"https://www.portugal-didactico.com/littlebits/\">Eletrónica / STEAM</a></p>\r\n</td>\r\n</tr>\r\n<tr style=\"height: 150px;\">\r\n<td style=\"height: 150px; width: 380px;\">\r\n<figure><img class=\"aligncenter wp-image-6090 size-medium\" src=\"data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https://www.portugal-didactico.com/wp-content/uploads/2018/11/BRICK’R’KNOWLEDGE-300x100.jpg\" alt=\"\" width=\"300\" height=\"100\" data-srcset=\"https://www.portugal-didactico.com/wp-content/uploads/2018/11/BRICK’R’KNOWLEDGE-300x100.jpg 300w, https://www.portugal-didactico.com/wp-content/uploads/2018/11/BRICK’R’KNOWLEDGE-150x50.jpg 150w, https://www.portugal-didactico.com/wp-content/uploads/2018/11/BRICK’R’KNOWLEDGE.jpg 600w\" data-sizes=\"(max-width: 300px) 100vw, 300px\" /></figure>\r\n</td>\r\n<td style=\"height: 150px; width: 380px;\">\r\n<figure><img class=\"wp-image-5961 size-full aligncenter\" src=\"data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https://www.portugal-didactico.com/wp-content/uploads/2018/08/marcas-biootech.png\" alt=\"\" width=\"279\" height=\"154\" data-srcset=\"https://www.portugal-didactico.com/wp-content/uploads/2018/08/marcas-biootech.png 279w, https://www.portugal-didactico.com/wp-content/uploads/2018/08/marcas-biootech-150x83.png 150w\" data-sizes=\"(max-width: 279px) 100vw, 279px\" /></figure>\r\n</td>\r\n<td style=\"height: 150px; width: 380px;\">\r\n<figure><a href=\"http://www.portugal-didactico.com/category/marcas/arduino/\"><img class=\"aligncenter wp-image-5650\" src=\"data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"http://www.portugal-didactico.com/wp-content/uploads/2013/10/9d19310763171b0d958d23a18b3d7e1c_400x4001.png\" alt=\"9d19310763171b0d958d23a18b3d7e1c_400x4001\" width=\"100\" height=\"100\" data-srcset=\"https://www.portugal-didactico.com/wp-content/uploads/2013/10/9d19310763171b0d958d23a18b3d7e1c_400x4001.png 400w, https://www.portugal-didactico.com/wp-content/uploads/2013/10/9d19310763171b0d958d23a18b3d7e1c_400x4001-150x150.png 150w, https://www.portugal-didactico.com/wp-content/uploads/2013/10/9d19310763171b0d958d23a18b3d7e1c_400x4001-300x300.png 300w, https://www.portugal-didactico.com/wp-content/uploads/2013/10/9d19310763171b0d958d23a18b3d7e1c_400x4001-350x350.png 350w, https://www.portugal-didactico.com/wp-content/uploads/2013/10/9d19310763171b0d958d23a18b3d7e1c_400x4001-250x250.png 250w, https://www.portugal-didactico.com/wp-content/uploads/2013/10/9d19310763171b0d958d23a18b3d7e1c_400x4001-140x140.png 140w\" data-sizes=\"(max-width: 100px) 100vw, 100px\" /></a></figure>\r\n</td>\r\n</tr>\r\n<tr>\r\n<td style=\"width: 380px;\">\r\n<p style=\"text-align: center;\">BRICK’R’KNOWLEDGE</p>\r\n</td>\r\n<td style=\"width: 380px;\">\r\n<p style=\"text-align: center;\">Biologia / Electricidade (Brevemente)</p>\r\n</td>\r\n<td style=\"width: 380px;\">\r\n<p style=\"text-align: center;\"><a href=\"http://www.portugal-didactico.com/category/marcas/arduino/\">Robótica / Eletrónica</a></p>\r\n</td>\r\n</tr>\r\n</tbody>\r\n</table>\r\n<!--\r\n<tbody>\r\n<tr>\r\n<td>\r\n<h2 style=\"text-align: center;\"><strong><span style=\"color: #339966;\">Educação - Sala do Futuro</span></strong></h2>\r\n<p style=\"text-align: center;\"><span style=\"color: #000000;\">Equipamentos / STEM</span></p>\r\n</td>\r\n<td>\r\n<h2><strong><span style=\"color: #339966;\">Robótica Educativa</span></strong></h2>\r\n<p><span style=\"color: #000000;\">Equipamentos / Acessórios</span></p>\r\n</td>\r\n<td>\r\n<h2 style=\"text-align: center;\"><strong><span style=\"color: #339966;\">Robótica</span></strong></h2>\r\n<p style=\"text-align: center;\"><span style=\"color: #000000;\">Equipamentos / Acessórios</span></p>\r\n</td>\r\n</tr>\r\n<tr>\r\n<td>\r\n<h2 style=\"text-align: center;\"><strong><span style=\"color: #339966;\">Electrónica Educativa</span></strong></h2>\r\n<p style=\"text-align: center;\"><span style=\"color: #000000;\">Equipamentos / Módulos / Acessórios</span></p>\r\n</td>\r\n<td>\r\n<p style=\"text-align: center;\"> </p>\r\n</td>\r\n<td> </td>\r\n</tr>\r\n</tbody>\r\n/table>\r\n-->\r\n<p> </p>\r\n\r\n<table class=\"wp-block-table\">\r\n<tbody>\r\n<tr>\r\n<td>\r\n<div class=\"issuuembed\" style=\"width: 525px; height: 742px;\" data-configid=\"2725268/69490489\"> </div>\r\n<script type=\"text/javascript\" src=\"//e.issuu.com/embed.js\" async=\"true\"></script></td>\r\n<td>\r\n<h2>PORTUGAL-DIDÁCTICO – Ensinar ciência, tecnologia, engenharia e matemática com robótica nunca foi tão fácil.</h2>\r\n</td>\r\n</tr>\r\n</tbody>\r\n</table>\r\n<p> </p>\r\n </div>\r\n\r\n </article>\r\n \r\n \r\n \r\n \r\n </div><!--.article-container -->\r\n\r\n \r\n </div><!--.row -->\r\n </div><!-- .container role: main -->\r\n\r\n \r\n</div><!-- //#main-wrapper 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class=\"post-15960 post type-post status-publish format-standard hentry category-uncategorized\">\n\t\t\t<h2 class=\"entry-title\"><a href=\"https://www.askamathematician.com/2019/04/q-why-was-it-so-hard-to-take-a-picture-of-a-black-hole-what-are-we-even-looking-at/\" rel=\"bookmark\">Q: Why was it so hard to take a picture of a black hole? What are we even looking at?</a></h2>\n\n\t\t\t<div class=\"entry-meta\">\n\t\t\t\t<span class=\"meta-prep meta-prep-author\">Posted on</span> <a href=\"https://www.askamathematician.com/2019/04/q-why-was-it-so-hard-to-take-a-picture-of-a-black-hole-what-are-we-even-looking-at/\" title=\"9:05 pm\" rel=\"bookmark\"><span class=\"entry-date\">April 14, 2019</span></a> <span class=\"meta-sep\">by</span> <span class=\"author vcard\"><a class=\"url fn n\" href=\"https://www.askamathematician.com/author/seth/\" title=\"View all posts by The Physicist\">The Physicist</a></span>\t\t\t</div><!-- .entry-meta -->\n\n\t\t\t\t<div class=\"entry-content\">\n\t\t\t\t<p><strong>Physicist</strong>: Black holes and space are both black, so there’s that. But while black holes tend to be very small, space is bonkers big and filled with just enough stuff to give astronomers things to look at while simultaneously getting in the way of looking at said things.</p>\n<div id=\"attachment_15963\" style=\"width: 380px\" class=\"wp-caption aligncenter\"><a href=\"https://www.askamathematician.com/wp-content/uploads/2019/04/M87star.jpg\"><img class=\" wp-image-15963\" src=\"https://www.askamathematician.com/wp-content/uploads/2019/04/M87star.jpg\" alt=\"\" width=\"370\" height=\"370\" srcset=\"https://www.askamathematician.com/wp-content/uploads/2019/04/M87star.jpg 1200w, https://www.askamathematician.com/wp-content/uploads/2019/04/M87star-150x150.jpg 150w, https://www.askamathematician.com/wp-content/uploads/2019/04/M87star-300x300.jpg 300w, https://www.askamathematician.com/wp-content/uploads/2019/04/M87star-768x768.jpg 768w, https://www.askamathematician.com/wp-content/uploads/2019/04/M87star-1024x1024.jpg 1024w\" sizes=\"(max-width: 370px) 100vw, 370px\" /></a><p class=\"wp-caption-text\">The now-famous <em>actual</em> picture of M87* taken in the microwave spectrum.</p></div>\n<p>The picture that you’ve already seen is of M87*, the supermassive black hole (SMB) in the middle of the galaxy M87. Damn near every galaxy appears to have a SMB in its core. This isn’t a coincidence, they’re instrumental in the formation of galaxies. A galaxy’s SMB is almost always dead center and generally has a mass proportionate to the mass of the galaxy it calls home (or more likely, calls “mine”). Our home galaxy’s supermassive black hole, Sagittarius A*, has the mass of around 4.1 million Suns, which is <em>pretty</em> massive. But M87* weighs in at around 6.5 billion Suns, more than a thousand times bigger. M87* is massive even by supermassive standards.</p>\n<p>Sagittarius A* is by far the closest SMB (a mere 26,000 light-years away), but of course there’s a galaxy in the way. To see it we have to look long-ways through the disk of the Milky Way, which is full of stuff. M87* on the other hand is a freaking monster, but it’s 54 <em>million</em> light-years away. That’s fairly nearby in galactic terms (you can see it on a dark night), but that’s still incomprehensibly distant. The light collected to create the picture of M87* was released when <a href=\"https://en.wikipedia.org/wiki/Haplorhini\">our branch on the tree of life</a> was a bunch of tiny, arguably adorable critters, barely recognizable as primates, and expanding across a planet with a recent and notable lack of dinosaurs. In balance, it was easier to image M87*, a black hole a thousand times bigger and two thousand times farther away, than Sagittarius A*.</p>\n<p>As a quick aside, that stunningly boring name, “M87”, comes from Messier (being French, his name is pronounced “mess-E-ay”). At the time astronomers were getting famous putting their names on comets (worked for Halley) and Messier wanted a part of the action. It turns out that to an 18th century telescope, there are lots of vague, blurry things in the sky that might be comets, but aren’t. So Messier wrote a list of things he didn’t want to look at twice, and <a href=\"https://www.nasa.gov/content/goddard/hubble-s-messier-catalog\">that rejection list</a> is what he’s remembered for now (incidentally, he also discovered some comets). The galaxy M87 is the 87th thing on Messier’s “ignore this” list.</p>\n<div id=\"attachment_15968\" style=\"width: 552px\" class=\"wp-caption aligncenter\"><a href=\"https://www.askamathematician.com/wp-content/uploads/2019/04/hereandthere.jpg\"><img class=\" wp-image-15968\" src=\"https://www.askamathematician.com/wp-content/uploads/2019/04/hereandthere.jpg\" alt=\"\" width=\"542\" height=\"330\" srcset=\"https://www.askamathematician.com/wp-content/uploads/2019/04/hereandthere.jpg 1046w, https://www.askamathematician.com/wp-content/uploads/2019/04/hereandthere-300x182.jpg 300w, https://www.askamathematician.com/wp-content/uploads/2019/04/hereandthere-768x467.jpg 768w, https://www.askamathematician.com/wp-content/uploads/2019/04/hereandthere-1024x623.jpg 1024w\" sizes=\"(max-width: 542px) 100vw, 542px\" /></a><p class=\"wp-caption-text\">Left: The disk of our galaxy (as viewed from inside our galaxy) obscures a band of the sky all the way around us, including the galactic core (home of Sagittarius A*). Right: As a super giant galaxy, M87 is visible to the naked eye from 54 million light years away. But as an elliptical galaxy, it looks like a smudge on the lens. That tiny blue tail is a jet of plasma (one of two) that’s been streaming out of the disk of gas falling into M87* for at least 5000 years.</p></div>\n<p>The blurry doughnut is a cloud of in-falling gases that heat up and ionize as they fall in. M87*, despite being substantially larger than the orbit of Neptune, is much smaller than the cloud of stuff falling into it, so there’s a bottle neck as gas falls in and that means friction and compression and that means heat. That glow is a fire storm in space far bigger than our solar system. The dark in the middle isn’t the black hole itself, so much as a lack of gases. Newton’s gravity is proportional to the inverse square of the distance to whatever’s making the gravity; half the distance = four times the gravity, a third the distance = nine times the gravity. In Newton’s gravity, there’s no limit to how close you can be in orbit around something. But in Einstein’s (correct) formulation of gravity, the inverse square law is only an approximation that works in low gravity situations (basically, Newton is good enough for practically every application <em>except</em> black holes). It turns out that black holes have an <a href=\"https://en.wikipedia.org/wiki/Innermost_stable_circular_orbit\">innermost stable orbit</a>, that’s 3 times the Schwarzchild radius (3 times the black hole’s radius). Anything that tries to orbit closer will just spiral in. The edge of that doughnut is the innermost stable orbit; the last chance gases have to glow before they get fast-tracked to the black hole itself.</p>\n<p>The gas is about the same temperature all the way around M87*, but because it’s spiraling in it’s moving toward us on one side and away on the other. The side that’s moving toward us appears brighter because of an (usually difficult to notice) effect called “<a href=\"https://en.wikipedia.org/wiki/Relativistic_beaming\">relativistic beaming</a>“; <em>very</em> high speed material emits more light in the direction of motion (although, from its own perspective, it’s still emitting light evenly in every direction).</p>\n<p>We were almost guaranteed to see that hot cloud of gas all the way around M87* because, in addition to all the other craziness going on, black holes bend light around them. This isn’t unique to black holes, we see “gravitational lensing” every time light passes close to something massive. In fact, one of the earliest confirmations of General Relativity was during the 1919 solar eclipse when stars were seen <em>around</em> the Sun that were actually <em>behind</em> it. So black holes aren’t the only things that can bend light beams, but they do elevate the art; instead of light being slightly deflected, it can completely change direction or even <a href=\"https://en.wikipedia.org/wiki/Photon_sphere\">literally go into orbit</a>. So when you see a stream of hot gas beside a black hole, it might actually be behind it. Regardless of how the disk of infalling hot gases are arranged, there will always appear to be gas around the black hole.</p>\n<p>Gravitational lensing doesn’t just fun-house-mirror and confuse the image, it actually helps us here. The dark spot is three times the size of the black hole in reality (the innermost stable orbit), but the lensing effect magnifies it an makes it appear larger.</p>\n<div id=\"attachment_15979\" style=\"width: 489px\" class=\"wp-caption aligncenter\"><a href=\"https://www.askamathematician.com/wp-content/uploads/2019/04/CosmicHorseshoe.jpg\"><img class=\" wp-image-15979\" src=\"https://www.askamathematician.com/wp-content/uploads/2019/04/CosmicHorseshoe.jpg\" alt=\"\" width=\"479\" height=\"316\" srcset=\"https://www.askamathematician.com/wp-content/uploads/2019/04/CosmicHorseshoe.jpg 1014w, https://www.askamathematician.com/wp-content/uploads/2019/04/CosmicHorseshoe-300x198.jpg 300w, https://www.askamathematician.com/wp-content/uploads/2019/04/CosmicHorseshoe-768x507.jpg 768w\" sizes=\"(max-width: 479px) 100vw, 479px\" /></a><p class=\"wp-caption-text\">The gravity of the “red blob” galaxy in the foreground, LRG 3-757, bends the light a galaxy behind it so much that it appears as a ring. Gravitational lensing like this allows us to measure the distribution of mass by looking at how it warps the image of distant objects, and is sometimes even used intentionally (as a lens!) to get a better view of said distant objects.</p></div>\n<p>The curse of always being right, I’ve been told, is that you’re never surprised and rarely invited to parties. The new black hole picture isn’t really a discovery, but it is a stunning accomplishment. Black holes, as we understand them today, were first theorized when Schwarzschild got ahold of the recently published <a href=\"https://en.wikipedia.org/wiki/Einstein_field_equations\">equations of Einstein’s general theory of relativity</a>, applied them to a dense sphere of matter, and <a href=\"https://en.wikipedia.org/wiki/Schwarzschild_metric\">followed where they led</a>. Modern physics has an established track record of starting with basic assumptions, building verifiable theories, and then applying those theories to reach conclusions that everyone agrees are so completely nuts they can’t possibly be true. Black holes, which are real, are a great example of “so weird they can’t possibly be real”.</p>\n<p>Today, you’d have a hard time finding an astronomer or astrophysicist who didn’t already firmly believe in the existence of black holes and their basic, overall properties. They quibble about the details, sure, but that’s scientists. There’s a long catalog of observations that already fell in line perfectly with the predicted nature of black holes. <a href=\"https://www.ligo.org/\">LIGO’s ongoing detections</a> of gravitational waves are beautifully and precisely described by black holes merging. <a href=\"https://youtu.be/duoHtJpo4GY?t=32\">Stars in the galactic core</a> get whipped back and forth at around 1% the speed of light (which is absurdly fast for anything that isn’t a particle) while orbiting a dark, compact “radio source”. <a href=\"https://en.wikipedia.org/wiki/Quasar\">Quasars</a>, some of the brightest, highest energy things in the universe, are exquisitely described by gases falling into SMBs, but are totally mysterious otherwise.</p>\n<p>So what did astronomers expect to see when they finally got a direct image of an actual black hole? Basically what we’ve seen. The simulations used to predict what a real picture would look like were disappointingly accurate.</p>\n<div id=\"attachment_15982\" style=\"width: 457px\" class=\"wp-caption aligncenter\"><a href=\"https://www.askamathematician.com/wp-content/uploads/2019/04/Heino-Falcke-2-simulated-Ring-of-fire-black-hole-simulation.png\"><img class=\" wp-image-15982\" src=\"https://www.askamathematician.com/wp-content/uploads/2019/04/Heino-Falcke-2-simulated-Ring-of-fire-black-hole-simulation.png\" alt=\"\" width=\"447\" height=\"251\" srcset=\"https://www.askamathematician.com/wp-content/uploads/2019/04/Heino-Falcke-2-simulated-Ring-of-fire-black-hole-simulation.png 620w, https://www.askamathematician.com/wp-content/uploads/2019/04/Heino-Falcke-2-simulated-Ring-of-fire-black-hole-simulation-300x169.png 300w\" sizes=\"(max-width: 447px) 100vw, 447px\" /></a><p class=\"wp-caption-text\">A (non-blurry) image generated by a black hole simulation.</p></div>\n<p>It would have been great if the picture had been completely different. Like a smiley face or something. Science advances when we’re wrong or surprised or both. What this new picture does is add another verification win to the theory of General Relativity, which is good. It’s not enough to have a clever theory that always works, you also have to give it every possible new opportunity to fail.</p>\n<p>So as far as theory goes, we haven’t gained too much. This was kind of the “eat your vegetables” of empirical physics. What we gained, we gained through the effort it took to get this picture. The reason this hasn’t be done before is that it’s really, <em>really</em> hard to do. M87* is about 54 million light-years away and about 38 billion km across, which makes it 42 microarcseconds across. There are 360 degrees in a circle, 60 arcminutes in a degree, 60 arcseconds in an arcminute, and a million microarcseconds in an arcsecond. 42 microarcseconds is the angle across a single hair from 500 km away.</p>\n<p>But here’s the problem: that’s too small. There’s a fundamental limit to the resolution of a telescope called the “diffraction limit” that’s built into the wave nature of light. The more perfectly your telescope is constructed, the closer you can get to this limit, but you can never do better. If D is the diameter of your telescope’s main lens or mirror and W is the wavelength of the light you’re using, then the smallest angle (in radians) you can resolve is about <img src='https://s0.wp.com/latex.php?latex=1.22%5Cfrac%7BW%7D%7BD%7D&bg=ffffff&fg=000000&s=0' alt='1.22\\frac{W}{D}' title='1.22\\frac{W}{D}' class='latex' />, so shorter wavelengths and bigger telescopes produce sharper pictures. The now-famous black hole image was taken using microwave light with a wavelength of 1.3 mm, which means that to get a fuzzy circle with a dark center (“Hey, a black hole!”) instead of a fuzzy smudge (“Hey, hot gas with maybe a black hole!”) you need a telescope that’s a few thousand km across. Point of fact: that’s too big.</p>\n<p>The Earth happens to be a few thousand km across, so we just need a way to use the whole thing. Enter the <a href=\"https://en.wikipedia.org/wiki/Event_Horizon_Telescope\">Event Horizon Telescope</a> (EHT), an international collaboration of telescopes that points at M87* with an “effective aperture” that’s about the size of the Earth. A regular telescope creates images by collecting light and focusing it on a detector. A light wave from a distant source rolls in like a wall, bounces off of the mirror, and arrives at the focal point all at once. This is done automatically by the geometry if the mirror is parabolic, since every parallel path takes the same amount of time to get to the focus (that’s just <a href=\"https://www.mathwarehouse.com/quadratic/parabola/focus-and-directrix-of-parabola.php\">one of those handy properties that parabolas have</a>).</p>\n<div id=\"attachment_15974\" style=\"width: 580px\" class=\"wp-caption aligncenter\"><a href=\"https://www.askamathematician.com/wp-content/uploads/2019/04/EHT.jpg\"><img class=\" wp-image-15974\" src=\"https://www.askamathematician.com/wp-content/uploads/2019/04/EHT.jpg\" alt=\"\" width=\"570\" height=\"209\" srcset=\"https://www.askamathematician.com/wp-content/uploads/2019/04/EHT.jpg 1016w, https://www.askamathematician.com/wp-content/uploads/2019/04/EHT-300x110.jpg 300w, https://www.askamathematician.com/wp-content/uploads/2019/04/EHT-768x281.jpg 768w\" sizes=\"(max-width: 570px) 100vw, 570px\" /></a><p class=\"wp-caption-text\">In order to function, a telescope bounces light waves so that they arrive at the detector all at once if they’re coming from the right direction. Left: In a regular telescope, the shape of the mirror does this automatically. Right: The Event Horizon Telescope has to put the wave back together using brute force; big computers and ridiculous precision.</p></div>\n<p>If parts of the mirror happens to be missing, that’s fine. The wave still arrives at the focus all at once, but some of it just passes on through. So the fact that the EHT doesn’t need to cover an area the size of Earth, it just needs to have pieces spread out across the Earth. But there’s still a huge problem; the light waves rolling in from M87* are never collected at a focal point. Instead, the data received by each telescope and array is recorded, collected in a single location (often by loading hard drives onto a plane and <em>physically</em> bringing the data together), and processed using a technique called <a href=\"https://en.wikipedia.org/wiki/Very-long-baseline_interferometry\">very-long baseline interferometry</a> (VLBI). “Very-long baseline” refers to the fact that the distance between the individual telescopes is “very long”. “Interferometry” refers to the fact that the collected light waves need to interfere.</p>\n<p>That interference is important; it’s not enough to just report what each telescope sees. Getting the wave front to arrive at the detector all at once is a really important part of what makes a telescope work. After all, waves from what you’re <em>not</em> looking at also arrive at your detector, just not all at once. Parts of the wave arriving at different times <a href=\"http://www.phys.uconn.edu/~gibson/Notes/Section5_2/Sec5_2.htm\">interfere destructively</a> and cancel each other out. So there are two big hurdles: combining the data while also knowing <em>exactly</em> when a given light wave sweeping across Earth arrives at each different telescope’s detector. You need to be able to tell the difference between one wave front and the next, and if the next wave front is 1.3 mm behind and traveling at the speed of light, then you need to reliably distinguishing between events 4 picoseconds apart (4 <em>trillionths</em> of a second). So, every telescope needs a shiny new atomic clock and a <em>really</em> fast camera. You begin to get a sense of why the data consolidation looks more like a cargo shipment than an email attachment; trillions of snapshots every second of not just the waves you’re looking for, but also the waves that will cancel out once all the data is processed. Add to that the challenge of figuring out (generally after the fact) where every detector is to within a fraction of a millimeter even as their orientation changes and the Earth rotates, and you’ve got a problem.</p>\n<p>Or <em>had</em> a problem anyway. The picture came out just fine. The two black holes that appear the largest from Earth are Sagittarius A* (because it’s close) and M87* (because it’s a monster), and they’re both right on the edge of what can be effectively imaged using Earth based arrays of telescopes like the EHT. But if the overarching history of technology is any indication, the first time is almost impossible and the thousandth is embarrassingly easy. We’ll get better pictures of M87* and passable pictures of Sagittarius A* soon. Once we set up an array of space telescopes throughout cislunar space (the volume inside the Moon’s orbit) we’ll get pictures of the SMBs in the cores of every nearby galaxy and that’s when the science really gets started. The cost low Earth orbit <a href=\"https://www.futuretimeline.net/data-trends/6.htm\">has dropped by 99% since 1980</a> and the price of spaceflight in general is on schedule to drop substantially more in the decades to come, so a fleet of space telescopes is not such a big ask.</p>\n<p>That blurry picture of M87* is the first stumbling steps into a profound new kind of astronomical research that will be totally routine sooner than you think.</p>\n<p>The Milky Way picture is from <a href=\"http://intothenightphoto.blogspot.com/2013/02/view-milky-way-with-your-naked-eye.html\">here</a>.</p>\n<p>The simulated black hole image is from <a href=\"http://sciencenordic.com/will-we-ever-see-black-hole\">here</a>.</p>\n<div class=\"sharedaddy sd-sharing-enabled\"><div class=\"robots-nocontent sd-block sd-social sd-social-icon-text sd-sharing\"><div class=\"sd-content\"><ul><li class=\"share-email\"><a rel=\"nofollow noopener noreferrer\" data-shared=\"\" class=\"share-email sd-button share-icon\" href=\"https://www.askamathematician.com/2019/04/q-why-was-it-so-hard-to-take-a-picture-of-a-black-hole-what-are-we-even-looking-at/?share=email\" target=\"_blank\" title=\"Click to email this to a friend\"><span>Email</span></a></li><li class=\"share-print\"><a rel=\"nofollow noopener noreferrer\" data-shared=\"\" class=\"share-print sd-button share-icon\" href=\"https://www.askamathematician.com/2019/04/q-why-was-it-so-hard-to-take-a-picture-of-a-black-hole-what-are-we-even-looking-at/\" target=\"_blank\" title=\"Click to print\"><span>Print</span></a></li><li class=\"share-facebook\"><a rel=\"nofollow noopener noreferrer\" data-shared=\"sharing-facebook-15960\" class=\"share-facebook sd-button share-icon\" href=\"https://www.askamathematician.com/2019/04/q-why-was-it-so-hard-to-take-a-picture-of-a-black-hole-what-are-we-even-looking-at/?share=facebook\" target=\"_blank\" title=\"Click to share on Facebook\"><span>Facebook</span></a></li><li class=\"share-reddit\"><a rel=\"nofollow noopener noreferrer\" data-shared=\"\" class=\"share-reddit sd-button share-icon\" href=\"https://www.askamathematician.com/2019/04/q-why-was-it-so-hard-to-take-a-picture-of-a-black-hole-what-are-we-even-looking-at/?share=reddit\" target=\"_blank\" title=\"Click to share on Reddit\"><span>Reddit</span></a></li><li class=\"share-twitter\"><a rel=\"nofollow noopener noreferrer\" data-shared=\"sharing-twitter-15960\" class=\"share-twitter sd-button share-icon\" href=\"https://www.askamathematician.com/2019/04/q-why-was-it-so-hard-to-take-a-picture-of-a-black-hole-what-are-we-even-looking-at/?share=twitter\" target=\"_blank\" title=\"Click to share on Twitter\"><span>Twitter</span></a></li><li class=\"share-end\"></li></ul></div></div></div>\t\t\t\t\t\t\t</div><!-- .entry-content -->\n\t\n\t\t\t<div class=\"entry-utility\">\n\t\t\t\t\t\t\t\t\t<span class=\"cat-links\">\n\t\t\t\t\t\t<span class=\"entry-utility-prep entry-utility-prep-cat-links\">Posted in</span> <a href=\"https://www.askamathematician.com/category/uncategorized/\" rel=\"category tag\">Uncategorized</a>\t\t\t\t\t</span>\n\t\t\t\t\t<span class=\"meta-sep\">|</span>\n\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"comments-link\"><a href=\"https://www.askamathematician.com/2019/04/q-why-was-it-so-hard-to-take-a-picture-of-a-black-hole-what-are-we-even-looking-at/#comments\">7 Comments</a></span>\n\t\t\t\t\t\t\t</div><!-- .entry-utility -->\n\t\t</div><!-- #post-## -->\n\n\t\t\n\t\n\n\n\t\t\t<div id=\"post-15901\" class=\"post-15901 post type-post status-publish format-standard hentry category-physicist category-april-fools\">\n\t\t\t<h2 class=\"entry-title\"><a href=\"https://www.askamathematician.com/2019/03/q-will-time-travel-ever-be-invented/\" rel=\"bookmark\">Q: Will time travel ever be invented?</a></h2>\n\n\t\t\t<div class=\"entry-meta\">\n\t\t\t\t<span class=\"meta-prep meta-prep-author\">Posted on</span> <a href=\"https://www.askamathematician.com/2019/03/q-will-time-travel-ever-be-invented/\" title=\"10:44 pm\" rel=\"bookmark\"><span class=\"entry-date\">March 31, 2019</span></a> <span class=\"meta-sep\">by</span> <span class=\"author vcard\"><a class=\"url fn n\" href=\"https://www.askamathematician.com/author/seth/\" title=\"View all posts by The Physicist\">The Physicist</a></span>\t\t\t</div><!-- .entry-meta -->\n\n\t\t\t\t<div class=\"entry-content\">\n\t\t\t\t<p><strong>Physicist</strong>: It already has! Or rather, it already will be.</p>\n<p>Once time travel has/will have been invented, you’d think that said inventor could just go back in time and show off their invention, or give it to some ancestor (or even become some ancestor) so they could be born into old money.</p>\n<p>But despite being both common and world-changing, time travel is intrinsically very low-key. In the 20th century the world population increased from 1.6 to 6 billion people, and even though time travelers account for about 3 of those 4.4 billion new folk, evidence for their presence is almost impossible to find. It turns out that time machines are just like every other machine; they don’t exist if they’re not invented. So whatever else anyone does with a time machine, it didn’t/won’t affect the invention of time machines themselves.</p>\n<p>In 1992 Steven Hawking derived the “<a href=\"https://en.wikipedia.org/wiki/Chronology_protection_conjecture\">chronology protection conjecture</a>“, which posits that “closed time-like curves” are impossible. Moving along a time-like path is what you (and every other chunk of matter in the universe) are doing right now; moving slower than light and experiencing time in the usual way. Moving along a closed time-like path is like going for a walk in the woods and following a trail that returns you home yesterday. Hawking showed that closed time-like curves produce “feed back” that destroys everything involved. In other words: Timecop rules.</p>\n<p>Ever empirical, on June 28th, 2009 Doc Hawk threw a party for time travelers and (to ensure <em>only</em> time travelers showed up) he kept it secret until June 29th, when he sent out invitations. Save the date!</p>\n<p>To his bemused shock, Hawking’s soiree was very well attended. He claims to have met “people” from as far afield as 70189324233 AD, the year in which the invitation, as well as the spaciotemporal coordinates of Earth, were unceremoniously overwritten and forgotten during “The Great System Update”.</p>\n<div id=\"attachment_15939\" style=\"width: 622px\" class=\"wp-caption aligncenter\"><a href=\"https://www.askamathematician.com/wp-content/uploads/2019/03/thehawk.jpg\"><img class=\"wp-image-15939 size-full\" src=\"https://www.askamathematician.com/wp-content/uploads/2019/03/thehawk.jpg\" alt=\"\" width=\"612\" height=\"264\" srcset=\"https://www.askamathematician.com/wp-content/uploads/2019/03/thehawk.jpg 612w, https://www.askamathematician.com/wp-content/uploads/2019/03/thehawk-300x129.jpg 300w\" sizes=\"(max-width: 612px) 100vw, 612px\" /></a><p class=\"wp-caption-text\">Left: Steven Hawking, blocking the photographer from getting into the party behind him. Right: The invitation he sent out the next day. Hope you can/did make it!</p></div>\n<p>At his party, the Hawk discovered three things. First, time travel is not just possible, but easy. Second, closed time-like curves are impossible, but that’s not how time travel works. And third, time travelers don’t leave much evidence behind, because they couldn’t if they tried (and don’t when they do).</p>\n<p>Hawking later wrote, “<em>Dear Diary, [I] wasn’t sure about actually buying champagne for the affair, since I knew (or thought I knew) that this was all a [silly stunt]. I’m glad I did! Time travelers are a cagey lot and the evening didn’t really get into full swing until the 7th or 8th crate was opened. A man (perhaps?) who introduced himself as the Designate Demithrall of the North Antarctic Seasteader Federation in 4372, mentioned that the key to time travel is my own work on imaginary time and that it’s ‘obvious really, if you think about it’. This is remarkable! But in the sober light of da [sic.] I can’t help wondering if the Designate Demithrall wasn’t drunk or sarcastic or both. Forty-forth century humour is really hard to read.</em>”</p>\n<p>When a time traveler intends to give instructions to someone in the past to help them be the first person to build a time machine, they inevitably and accidentally don’t. The retro-self-cohesion principle of the time-line prevents grandfather paradoxes, so neither time travelers nor machines can change the logic of their own history. In other words: <em>not</em> Back to the Future rules. For example, if you go back in time to kill your own grandfather, then you won’t exist to go back in time and do said killing. You have to come from somewhen. Inescapably, you’ll either get the wrong guy or fail to get the right guy. In other words: Bill and Ted rules. Time travel is possible, and even common, but you can’t change things so much as confirm them. In the archetypal example, Rufus goes back in time to ensure the Wild Stallions succeed in bringing about peace and enlightenment throughout the universe, and he knows they do because he was/will be there to help.</p>\n<div id=\"attachment_15946\" style=\"width: 312px\" class=\"wp-caption aligncenter\"><a href=\"https://www.askamathematician.com/wp-content/uploads/2019/03/grandfather.jpg\"><img class=\" wp-image-15946\" src=\"https://www.askamathematician.com/wp-content/uploads/2019/03/grandfather.jpg\" alt=\"\" width=\"302\" height=\"297\" srcset=\"https://www.askamathematician.com/wp-content/uploads/2019/03/grandfather.jpg 465w, https://www.askamathematician.com/wp-content/uploads/2019/03/grandfather-300x295.jpg 300w\" sizes=\"(max-width: 302px) 100vw, 302px\" /></a><p class=\"wp-caption-text\">The “grandfather paradox”. Like all paradoxes, this only shows up on paper. It can’t happen in reality.</p></div>\n<p>In the same way that you don’t (presently) worry about your murderous unborn grandchildren, the inventor of time travel is immune to hints. No matter how many time travelers they may incidentally meet, none of them will ever get past general pleasantries; the topic of time travel is logically verboten. The same holds for common knowledge. Presumably, the reason that you can’t go online and find the schematics for a (functional) time machine is that the future inventor of time travel doesn’t live in a cave. The first thing they’re likely to do before getting down to work is a quick internet search to see if they’re reinventing the wheel (or flux capacitor), so all the universe must conspire to make that internet search fail. Like time travelers themselves, the idea has to come from somewhen. Being aware of this tautological time travel truth, and possibly having read Hawking’s published diary, the Designate Demithrall was most likely safeguarding the logical consistency (and existence) of the very conversation he was in by filling it with sarcasm and misdirection.</p>\n<p>So if you ever meet anyone who claims to be a time traveler and makes no attempt to support their claim, then they’re probably telling you the truth. Time machines are more common then cellphones, but they’re literally impossible to talk about. And if you yourself are a time traveler, remember that we ran/will run out of prosecco about halfway through Hawking’s thing, so BYOB.</p>\n<div class=\"sharedaddy sd-sharing-enabled\"><div class=\"robots-nocontent sd-block sd-social sd-social-icon-text sd-sharing\"><div class=\"sd-content\"><ul><li class=\"share-email\"><a rel=\"nofollow noopener noreferrer\" data-shared=\"\" class=\"share-email sd-button share-icon\" href=\"https://www.askamathematician.com/2019/03/q-will-time-travel-ever-be-invented/?share=email\" target=\"_blank\" title=\"Click to email this to a friend\"><span>Email</span></a></li><li class=\"share-print\"><a rel=\"nofollow noopener noreferrer\" data-shared=\"\" class=\"share-print sd-button share-icon\" href=\"https://www.askamathematician.com/2019/03/q-will-time-travel-ever-be-invented/\" target=\"_blank\" title=\"Click to print\"><span>Print</span></a></li><li class=\"share-facebook\"><a rel=\"nofollow noopener noreferrer\" data-shared=\"sharing-facebook-15901\" class=\"share-facebook sd-button share-icon\" href=\"https://www.askamathematician.com/2019/03/q-will-time-travel-ever-be-invented/?share=facebook\" target=\"_blank\" title=\"Click to share on Facebook\"><span>Facebook</span></a></li><li class=\"share-reddit\"><a rel=\"nofollow noopener noreferrer\" data-shared=\"\" class=\"share-reddit sd-button share-icon\" href=\"https://www.askamathematician.com/2019/03/q-will-time-travel-ever-be-invented/?share=reddit\" target=\"_blank\" title=\"Click to share on Reddit\"><span>Reddit</span></a></li><li class=\"share-twitter\"><a rel=\"nofollow noopener noreferrer\" data-shared=\"sharing-twitter-15901\" class=\"share-twitter sd-button share-icon\" href=\"https://www.askamathematician.com/2019/03/q-will-time-travel-ever-be-invented/?share=twitter\" target=\"_blank\" title=\"Click to share on Twitter\"><span>Twitter</span></a></li><li class=\"share-end\"></li></ul></div></div></div>\t\t\t\t\t\t\t</div><!-- .entry-content -->\n\t\n\t\t\t<div class=\"entry-utility\">\n\t\t\t\t\t\t\t\t\t<span class=\"cat-links\">\n\t\t\t\t\t\t<span class=\"entry-utility-prep entry-utility-prep-cat-links\">Posted in</span> <a href=\"https://www.askamathematician.com/category/physicist/\" rel=\"category tag\">-- By the Physicist</a>, <a href=\"https://www.askamathematician.com/category/april-fools/\" rel=\"category tag\">April Fools</a>\t\t\t\t\t</span>\n\t\t\t\t\t<span class=\"meta-sep\">|</span>\n\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"comments-link\"><a href=\"https://www.askamathematician.com/2019/03/q-will-time-travel-ever-be-invented/#comments\">14 Comments</a></span>\n\t\t\t\t\t\t\t</div><!-- .entry-utility -->\n\t\t</div><!-- #post-## -->\n\n\t\t\n\t\n\n\n\t\t\t<div id=\"post-15880\" class=\"post-15880 post type-post status-publish format-standard hentry category-uncategorized\">\n\t\t\t<h2 class=\"entry-title\"><a href=\"https://www.askamathematician.com/2019/03/q-why-is-a-negative-times-a-negative-positive/\" rel=\"bookmark\">Q: Why is a negative times a negative positive?</a></h2>\n\n\t\t\t<div class=\"entry-meta\">\n\t\t\t\t<span class=\"meta-prep meta-prep-author\">Posted on</span> <a href=\"https://www.askamathematician.com/2019/03/q-why-is-a-negative-times-a-negative-positive/\" title=\"1:42 pm\" rel=\"bookmark\"><span class=\"entry-date\">March 23, 2019</span></a> <span class=\"meta-sep\">by</span> <span class=\"author vcard\"><a class=\"url fn n\" href=\"https://www.askamathematician.com/author/seth/\" title=\"View all posts by The Physicist\">The Physicist</a></span>\t\t\t</div><!-- .entry-meta -->\n\n\t\t\t\t<div class=\"entry-content\">\n\t\t\t\t<p><strong>Physicist</strong>: The multiplication rules for signs are</p>\n<img src='https://s0.wp.com/latex.php?latex=%5Cleft%5C%7B%5Cbegin%7Barray%7D%7Bl%7D%2B%5Ccdot%2B%3D%2B%5C%5C%2B%5Ccdot-%3D-%5C%5C-%5Ccdot-%3D%2B%5Cend%7Barray%7D%5Cright.&bg=ffffff&fg=000000&s=0' alt='\\left\\{\\begin{array}{l}+\\cdot+=+\\\\+\\cdot-=-\\\\-\\cdot-=+\\end{array}\\right.' title='\\left\\{\\begin{array}{l}+\\cdot+=+\\\\+\\cdot-=-\\\\-\\cdot-=+\\end{array}\\right.' class='latex' />\n<p>You’d be hard pressed to find someone who disagrees with the first rule, and if you press hard you’ll find that almost everyone has been confused (at least once) by the third. In a nutshell, if you try to define the multiplication rules any other way, arithmetic stops working in a big hurry. Or at least, you have to scrap a lot of other math that’s incredibly useful.</p>\n<p>When you multiply X by a positive integer Y you’re adding it to itself Y times. So it makes sense that a positive times a positive is positive. For example, <img src='https://s0.wp.com/latex.php?latex=3%5Ctimes+2+%3D+2%2B2%2B2+%3D+6&bg=ffffff&fg=000000&s=0' alt='3\\times 2 = 2+2+2 = 6' title='3\\times 2 = 2+2+2 = 6' class='latex' />. By looking at 3 (or any other number you like) multiplied by smaller and smaller integers you see a pattern:</p>\n<p><img src=\"//s0.wp.com/latex.php?latex=%5Cbegin%7Barray%7D%7Brcl%7D+%26%5Cvdots%5C%5C+3%5Ccdot2%26%3D%266+%5C%5C+3%5Ccdot1%26%3D%263%5C%5C+3%5Ccdot0%26%3D%260%5C%5C+3%5Ccdot%28-1%29%26%3D%26%3F%5C%5C+3%5Ccdot%28-2%29%26%3D%26%3F%5C%5C+%26%5Cvdots+%5Cend%7Barray%7D&bg=ffffff&fg=000&s=0\" alt=\"\begin{array}{rcl} &\vdots\\ 3\cdot2&=&6 \\ 3\cdot1&=&3\\ 3\cdot0&=&0\\ 3\cdot(-1)&=&?\\ 3\cdot(-2)&=&?\\ &\vdots \end{array}\" title=\"\begin{array}{rcl} &\vdots\\ 3\cdot2&=&6 \\ 3\cdot1&=&3\\ 3\cdot0&=&0\\ 3\cdot(-1)&=&?\\ 3\cdot(-2)&=&?\\ &\vdots \end{array}\" class=\"latex\" /></p>\n<p>Every time you multiply by a one-smaller-number, you take away another 3. Following the pattern, we take 3 away from zero and make a decent guess at how that pattern should continue:</p>\n<p><img src=\"//s0.wp.com/latex.php?latex=%5Cbegin%7Barray%7D%7Brcl%7D+%26%5Cvdots%5C%5C+3%5Ccdot2%26%3D%266+%5C%5C+3%5Ccdot1%26%3D%263%5C%5C+3%5Ccdot0%26%3D%260%5C%5C+3%5Ccdot%28-1%29%26%3D%26-3%5C%5C+3%5Ccdot%28-2%29%26%3D%26-6%5C%5C+%26%5Cvdots+%5Cend%7Barray%7D&bg=ffffff&fg=000&s=0\" alt=\"\begin{array}{rcl} &\vdots\\ 3\cdot2&=&6 \\ 3\cdot1&=&3\\ 3\cdot0&=&0\\ 3\cdot(-1)&=&-3\\ 3\cdot(-2)&=&-6\\ &\vdots \end{array}\" title=\"\begin{array}{rcl} &\vdots\\ 3\cdot2&=&6 \\ 3\cdot1&=&3\\ 3\cdot0&=&0\\ 3\cdot(-1)&=&-3\\ 3\cdot(-2)&=&-6\\ &\vdots \end{array}\" class=\"latex\" /></p>\n<p>Do this for a couple of different numbers and you can construct a multiplication table. Like this one!</p>\n<div id=\"attachment_15909\" style=\"width: 351px\" class=\"wp-caption aligncenter\"><a href=\"https://www.askamathematician.com/wp-content/uploads/2019/03/timestable.jpg\"><img class=\" wp-image-15909\" src=\"https://www.askamathematician.com/wp-content/uploads/2019/03/timestable.jpg\" alt=\"\" width=\"341\" height=\"272\" srcset=\"https://www.askamathematician.com/wp-content/uploads/2019/03/timestable.jpg 423w, https://www.askamathematician.com/wp-content/uploads/2019/03/timestable-300x239.jpg 300w\" sizes=\"(max-width: 341px) 100vw, 341px\" /></a><p class=\"wp-caption-text\">The times table for numbers between -3 and 3. Notice that the “2 row” always increases by 2 every step to the right (…, -2, 0, 2, 4, …). Notice that the “-3 row” always increases by -3 (which is to say, decreases by 3) every step to the right. While you’re noticing things, notice that the pattern is always the same for each row and column, even when the sign changes.</p></div>\n<p>If the “negative times a negative” quadrant on the lower left were all negative instead of positive (e.g., “<img src='https://s0.wp.com/latex.php?latex=%28-3%29%5Ccdot%28-3%29%3D-9&bg=ffffff&fg=000000&s=0' alt='(-3)\\cdot(-3)=-9' title='(-3)\\cdot(-3)=-9' class='latex' />“), then the rows and columns that go through it will suddenly have to switch patterns (e.g., “increasing by 3’s” to “decreasing by 3’s”) when they pass zero. In some sense, the rules for signs are set up so that multiplication tables like this follow a nice, simple pattern.</p>\n<p>So, “<img src='https://s0.wp.com/latex.php?latex=%2B%5Ccdot%2B%3D%2B&bg=ffffff&fg=000000&s=0' alt='+\\cdot+=+' title='+\\cdot+=+' class='latex' />, <img src='https://s0.wp.com/latex.php?latex=%2B%5Ccdot-%3D-&bg=ffffff&fg=000000&s=0' alt='+\\cdot-=-' title='+\\cdot-=-' class='latex' />, and <img src='https://s0.wp.com/latex.php?latex=-%5Ccdot-%3D%2B&bg=ffffff&fg=000000&s=0' alt='-\\cdot-=+' title='-\\cdot-=+' class='latex' />” is a clean, reasonable way to define multiplication. But does it work with the rules of arithmetic?</p>\n<p>In particular, the distributive property, which says that <img src='https://s0.wp.com/latex.php?latex=A%5Ccdot%28B%2BC%29+%3D+A%5Ccdot+B%2BA%5Ccdot+C&bg=ffffff&fg=000000&s=0' alt='A\\cdot(B+C) = A\\cdot B+A\\cdot C' title='A\\cdot(B+C) = A\\cdot B+A\\cdot C' class='latex' />, is one of the backbone rules upon which all of arithmetic is built. In fact, this property is literally the thing that defines the relationship between addition and multiplication! For example,</p>\n<img src='https://s0.wp.com/latex.php?latex=%5Cbegin%7Barray%7D%7Brl%7D%262%2B2%2B2%5C%5C%3D%262%5Ccdot1%2B2%5Ccdot1%2B2%5Ccdot1%5C%5C%3D%262%5Ccdot%281%2B1%2B1%29%5C%5C%3D%262%5Ccdot3%5Cend%7Barray%7D&bg=ffffff&fg=000000&s=0' alt='\\begin{array}{rl}&2+2+2\\\\=&2\\cdot1+2\\cdot1+2\\cdot1\\\\=&2\\cdot(1+1+1)\\\\=&2\\cdot3\\end{array}' title='\\begin{array}{rl}&2+2+2\\\\=&2\\cdot1+2\\cdot1+2\\cdot1\\\\=&2\\cdot(1+1+1)\\\\=&2\\cdot3\\end{array}' class='latex' />\n<p>because “3” is <em>defined</em> as “3=1+1+1”. Losing the distributive property basically means you need to go home and start designing a new (and worse) kind of math from scratch.</p>\n<p>For positive numbers there’s no issue, because (practically) everyone is fine with the “<img src='https://s0.wp.com/latex.php?latex=%2B%5Ccdot%2B%3D%2B&bg=ffffff&fg=000000&s=0' alt='+\\cdot+=+' title='+\\cdot+=+' class='latex' /> rule”. For example, <img src='https://s0.wp.com/latex.php?latex=5%5Ccdot%282%2B3%29%3D5%5Ccdot5%3D25&bg=ffffff&fg=000000&s=0' alt='5\\cdot(2+3)=5\\cdot5=25' title='5\\cdot(2+3)=5\\cdot5=25' class='latex' /> and <img src='https://s0.wp.com/latex.php?latex=5%5Ccdot%282%2B3%29%3D5%5Ccdot2%2B5%5Ccdot3%3D10%2B15%3D25&bg=ffffff&fg=000000&s=0' alt='5\\cdot(2+3)=5\\cdot2+5\\cdot3=10+15=25' title='5\\cdot(2+3)=5\\cdot2+5\\cdot3=10+15=25' class='latex' />.</p>\n<p>But if you insist on using the rule “<img src='https://s0.wp.com/latex.php?latex=%2B%5Ccdot-%3D%2B&bg=ffffff&fg=000000&s=0' alt='+\\cdot-=+' title='+\\cdot-=+' class='latex' />“, then you’ll find the distributive property doesn’t work. For example, <img src='https://s0.wp.com/latex.php?latex=5%5Ccdot%282-3%29%3D5%5Ccdot%28-1%29%3D5&bg=ffffff&fg=000000&s=0' alt='5\\cdot(2-3)=5\\cdot(-1)=5' title='5\\cdot(2-3)=5\\cdot(-1)=5' class='latex' /> and <img src='https://s0.wp.com/latex.php?latex=5%5Ccdot%282-3%29%3D5%5Ccdot2%2B5%5Ccdot%28-3%29%3D10%2B15%3D25&bg=ffffff&fg=000000&s=0' alt='5\\cdot(2-3)=5\\cdot2+5\\cdot(-3)=10+15=25' title='5\\cdot(2-3)=5\\cdot2+5\\cdot(-3)=10+15=25' class='latex' />. The discerning eye will note that 5≠25, so <img src='https://s0.wp.com/latex.php?latex=5%5Ccdot%282-3%29%5Cne5%5Ccdot2%2B5%5Ccdot%28-3%29&bg=ffffff&fg=000000&s=0' alt='5\\cdot(2-3)\\ne5\\cdot2+5\\cdot(-3)' title='5\\cdot(2-3)\\ne5\\cdot2+5\\cdot(-3)' class='latex' />. In other words, we need to use “<img src='https://s0.wp.com/latex.php?latex=%2B%5Ccdot-%3D-&bg=ffffff&fg=000000&s=0' alt='+\\cdot-=-' title='+\\cdot-=-' class='latex' />” in order for arithmetic to work.</p>\n<p>And if you begrudgingly allow the “<img src='https://s0.wp.com/latex.php?latex=%2B%5Ccdot-%3D-&bg=ffffff&fg=000000&s=0' alt='+\\cdot-=-' title='+\\cdot-=-' class='latex' />” rule, but refuse to accept the “<img src='https://s0.wp.com/latex.php?latex=-%5Ccdot-%3D%2B&bg=ffffff&fg=000000&s=0' alt='-\\cdot-=+' title='-\\cdot-=+' class='latex' />” rule, then consider this: <img src='https://s0.wp.com/latex.php?latex=%28-5%29%5Ccdot%282-3%29%3D%28-5%29%5Ccdot%28-1%29%3D-5&bg=ffffff&fg=000000&s=0' alt='(-5)\\cdot(2-3)=(-5)\\cdot(-1)=-5' title='(-5)\\cdot(2-3)=(-5)\\cdot(-1)=-5' class='latex' /> and <img src='https://s0.wp.com/latex.php?latex=%28-5%29%5Ccdot%282-3%29%3D%28-5%29%5Ccdot2%2B%28-5%29%5Ccdot%28-3%29%3D-10-15%3D-25&bg=ffffff&fg=000000&s=0' alt='(-5)\\cdot(2-3)=(-5)\\cdot2+(-5)\\cdot(-3)=-10-15=-25' title='(-5)\\cdot(2-3)=(-5)\\cdot2+(-5)\\cdot(-3)=-10-15=-25' class='latex' />.</p>\n<p>On a case-by-case basis, it’s not obvious that a negative times a negative should be positive. But when you look at lots of examples and the number system overall, you find that the “<img src='https://s0.wp.com/latex.php?latex=-%5Ccdot-%3D%2B&bg=ffffff&fg=000000&s=0' alt='-\\cdot-=+' title='-\\cdot-=+' class='latex' />” rule is kinda hard to avoid. Using a different rule means asking a lot of hard questions, like: What is negativeness? Which rules of arithmetic are worth keeping? What is the sound of negative two hands unclapping?</p>\n<p>Using the wrong rules is a good, practical, and genuinely useful training in what <em>not</em> to do. It’s well worth your time to shake off the shackles of mundanity and conformity, so that you can forge into a world of new discoveries. Specifically, you’ll discover why arithmetic’s shackles are usually left unshaken.</p>\n<div class=\"sharedaddy sd-sharing-enabled\"><div class=\"robots-nocontent sd-block sd-social sd-social-icon-text sd-sharing\"><div class=\"sd-content\"><ul><li class=\"share-email\"><a rel=\"nofollow noopener noreferrer\" data-shared=\"\" class=\"share-email sd-button share-icon\" href=\"https://www.askamathematician.com/2019/03/q-why-is-a-negative-times-a-negative-positive/?share=email\" target=\"_blank\" title=\"Click to email this to a friend\"><span>Email</span></a></li><li class=\"share-print\"><a rel=\"nofollow noopener noreferrer\" data-shared=\"\" class=\"share-print sd-button share-icon\" href=\"https://www.askamathematician.com/2019/03/q-why-is-a-negative-times-a-negative-positive/\" target=\"_blank\" title=\"Click to print\"><span>Print</span></a></li><li class=\"share-facebook\"><a rel=\"nofollow noopener noreferrer\" data-shared=\"sharing-facebook-15880\" class=\"share-facebook sd-button share-icon\" href=\"https://www.askamathematician.com/2019/03/q-why-is-a-negative-times-a-negative-positive/?share=facebook\" target=\"_blank\" title=\"Click to share on Facebook\"><span>Facebook</span></a></li><li class=\"share-reddit\"><a rel=\"nofollow noopener noreferrer\" data-shared=\"\" class=\"share-reddit sd-button share-icon\" href=\"https://www.askamathematician.com/2019/03/q-why-is-a-negative-times-a-negative-positive/?share=reddit\" target=\"_blank\" title=\"Click to share on Reddit\"><span>Reddit</span></a></li><li class=\"share-twitter\"><a rel=\"nofollow noopener noreferrer\" data-shared=\"sharing-twitter-15880\" class=\"share-twitter sd-button share-icon\" href=\"https://www.askamathematician.com/2019/03/q-why-is-a-negative-times-a-negative-positive/?share=twitter\" target=\"_blank\" title=\"Click to share on Twitter\"><span>Twitter</span></a></li><li class=\"share-end\"></li></ul></div></div></div>\t\t\t\t\t\t\t</div><!-- .entry-content -->\n\t\n\t\t\t<div class=\"entry-utility\">\n\t\t\t\t\t\t\t\t\t<span class=\"cat-links\">\n\t\t\t\t\t\t<span class=\"entry-utility-prep entry-utility-prep-cat-links\">Posted in</span> <a href=\"https://www.askamathematician.com/category/uncategorized/\" rel=\"category tag\">Uncategorized</a>\t\t\t\t\t</span>\n\t\t\t\t\t<span class=\"meta-sep\">|</span>\n\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"comments-link\"><a href=\"https://www.askamathematician.com/2019/03/q-why-is-a-negative-times-a-negative-positive/#comments\">7 Comments</a></span>\n\t\t\t\t\t\t\t</div><!-- .entry-utility -->\n\t\t</div><!-- #post-## -->\n\n\t\t\n\t\n\n\n\t\t\t<div id=\"post-15815\" class=\"post-15815 post type-post status-publish format-standard hentry category-physicist category-physics category-relativity\">\n\t\t\t<h2 class=\"entry-title\"><a href=\"https://www.askamathematician.com/2019/02/q-in-relativity-length-contracts-at-high-speeds-but-whats-contracting-is-it-distance-or-space-or-is-there-even-a-difference/\" rel=\"bookmark\">Q: In relativity, length contracts at high speeds. But what’s contracting? Is it distance or space or is there even a difference?</a></h2>\n\n\t\t\t<div class=\"entry-meta\">\n\t\t\t\t<span class=\"meta-prep meta-prep-author\">Posted on</span> <a href=\"https://www.askamathematician.com/2019/02/q-in-relativity-length-contracts-at-high-speeds-but-whats-contracting-is-it-distance-or-space-or-is-there-even-a-difference/\" title=\"6:35 pm\" rel=\"bookmark\"><span class=\"entry-date\">February 27, 2019</span></a> <span class=\"meta-sep\">by</span> <span class=\"author vcard\"><a class=\"url fn n\" href=\"https://www.askamathematician.com/author/seth/\" title=\"View all posts by The Physicist\">The Physicist</a></span>\t\t\t</div><!-- .entry-meta -->\n\n\t\t\t\t<div class=\"entry-content\">\n\t\t\t\t<p><em>The original question was</em>: I can’t find a consistent answer to this question; please help. A spaceship leaves Earth and heads to a star 4 light years away at 80% of light speed. An observer on Earth knows that the spaceship’s clock will run slower than his clock by 40% for the entirety of the journey (according to the <a href=\"https://en.wikipedia.org/wiki/Lorentz_factor#Definition\">Lorentz formula</a>).</p>\n<p>According to the Earth-based observer, the spaceship will arrive at the star in 5 years. However, because of time dilation, the spaceship’s clock will only read 3 years of elapsed time on arrival. To an astronaut on the spaceship, the distance to the star appears to be just 2.4 light years because it took him just 3 years to get there while traveling at 80% light speed.</p>\n<p>This situation is sometimes explained as a consequence of length contraction. But what is it that’s contracting? Some authors put it down to space itself contracting, or just distance contracting (which it seems to me amounts to the same thing) and others say that’s nonsense because you could posit two spaceships heading in the same direction momentarily side by side and traveling at different speeds, so how can there be two different distances?</p>\n<p>So what is the correct way to understand the situation from the astronaut’s perspective?</p>\n<hr />\n<p><strong>Physicist</strong>: Space and time don’t react to how you move around. They don’t contract or slow down just because you move fast relative to someone somewhere. What changes is how you perceive space and time.</p>\n<div id=\"attachment_15890\" style=\"width: 448px\" class=\"wp-caption aligncenter\"><a href=\"https://www.askamathematician.com/wp-content/uploads/2019/02/ways.jpg\"><img class=\" wp-image-15890\" src=\"https://www.askamathematician.com/wp-content/uploads/2019/02/ways.jpg\" alt=\"\" width=\"438\" height=\"204\" srcset=\"https://www.askamathematician.com/wp-content/uploads/2019/02/ways.jpg 500w, https://www.askamathematician.com/wp-content/uploads/2019/02/ways-300x140.jpg 300w\" sizes=\"(max-width: 438px) 100vw, 438px\" /></a><p class=\"wp-caption-text\">There’s no true “forward” direction and, terrifyingly, there’s no true “future” direction or even “space but not time” direction. All of these directions and the lengths of things in those directions are subjective and even, dare I say, relative.</p></div>\n<p>When you measure the length of something in space (in other words, “normally”), the total length isn’t just the length in the x or y directions, it’s a particular combination of both that works out exactly the way you’d think it should. When you measure the length of something in <em>spacetime</em>, the total length isn’t just the length in the space or time directions, it’s a particular combination of both that works out in more or less the opposite of how you’d think it should.</p>\n<p>We don’t talk about the three dimensions of space individually, because they’re not really distinct. The forward, right, and up directions are a good way to describe the three different dimensions of space, but of course they vary from perspective to perspective. Just call someone from the opposite side of the planet and ask them “What’s up?” and you’ll find yourself instantly embroiled in irreconcilable conflict. Everyone can agree that it’s easy to pick three mutually perpendicular directions in our three-dimensional universe (try it), but there’s no sense in trying to specify which <em>specific</em> three are the “true” directions.</p>\n<div id=\"attachment_15852\" style=\"width: 405px\" class=\"wp-caption aligncenter\"><a href=\"https://www.askamathematician.com/wp-content/uploads/2019/02/somemeters.jpg\"><img class=\"wp-image-15852 \" src=\"https://www.askamathematician.com/wp-content/uploads/2019/02/somemeters.jpg\" alt=\"\" width=\"395\" height=\"294\" srcset=\"https://www.askamathematician.com/wp-content/uploads/2019/02/somemeters.jpg 665w, https://www.askamathematician.com/wp-content/uploads/2019/02/somemeters-300x223.jpg 300w\" sizes=\"(max-width: 395px) 100vw, 395px\" /></a><p class=\"wp-caption-text\">If you insist on measuring things in only one direction, then different perspectives will result in different lengths. To find the total length, d, requires doing a couple measurements, x and y (and z too, in 3 dimensions), and applying some Pythagoras, d<sup>2</sup>=x<sup>2</sup>+y<sup>2</sup>.</p></div>\n<p>A meter stick is a meter long (hence the name), so if you place it flat on a table and measure its horizontal length (with a… tape measure or something), you’ll find that its horizontal length is 100cm and its vertical length is zero. Given that, you could reasonably divine that it must be 100cm long. But if you tilt it up (or equivalently, tilt your head a bit), then the horizontal and vertical lengths change. There’s nothing profound happening. To handle a universe cruel enough to allow such differing perspectives we use the “Euclidean metric”, <img src='https://s0.wp.com/latex.php?latex=d%5E2%3Dx%5E2%2By%5E2%2Bz%5E2&bg=ffffff&fg=000000&s=0' alt='d^2=x^2+y^2+z^2' title='d^2=x^2+y^2+z^2' class='latex' />, to find the total length of things given their lengths in each of the various directions. The length in any given direction (x, y, z) can change, but the <em>total</em> length (d) stays the same.</p>\n<p>Einstein’s big contribution (or one of them at least) was “combining” time and space under the umbrella of “spacetime”, so named because Germans love sticking words together in a traditional process called (roughly translated) stickingwordstogethertomakeonereallylongdifficulttoreadandoftunpronounceableword.</p>\n<p>The different spatial dimensions are equivalent. To see for yourself, walk north and south, then walk east and west. Unless you’re carrying a compass, you shouldn’t notice any difference. But clearly time is different. To see for yourself, first walk north and south, then walk to tomorrow and back to yesterday. So when someone cleverly volunteers “we live in a 4 dimensional universe!”, they’re being a <em>little</em> imprecise. Physicists, who love precision slightly more than being understood, prefer to say “we live in a 3+1 dimensional universe!” to make clear that there are three space dimensions and one time dimension.</p>\n<p>But while time and space are different, they’re not completely separate. In very much the same way that the forward direction varies between perspectives, the “future direction” also varies. And in the same way that rotating perspectives exchanges directions, moving at different velocities exchanges the time direction and direction of movement. The total “distance” between points in spacetime is called the “interval”, L. For folk familiar with the Euclidean metric, the “<a href=\"https://en.wikipedia.org/wiki/Minkowski_space\">Minkowski metric</a>” should look eerily familiar: <img src='https://s0.wp.com/latex.php?latex=L%5E2%3Dx%5E2%2By%5E2%2Bz%5E2-%28ct%29%5E2%3Dd%5E2-%28ct%29%5E2&bg=ffffff&fg=000000&s=0' alt='L^2=x^2+y^2+z^2-(ct)^2=d^2-(ct)^2' title='L^2=x^2+y^2+z^2-(ct)^2=d^2-(ct)^2' class='latex' />. Some folk will flip the sign on this, <img src='https://s0.wp.com/latex.php?latex=L%5E2%3D-x%5E2-y%5E2-z%5E2%2B%28ct%29%5E2%3D-d%5E2%2B%28ct%29%5E2&bg=ffffff&fg=000000&s=0' alt='L^2=-x^2-y^2-z^2+(ct)^2=-d^2+(ct)^2' title='L^2=-x^2-y^2-z^2+(ct)^2=-d^2+(ct)^2' class='latex' />, because it makes it a little easier to talk about the time experienced on a particular path (in fact, I’m gonna do that in a minute), but the important thing is not the sign of this equation, it’s that it’s <em>constant</em> between different perspectives. It should bother you that <img src='https://s0.wp.com/latex.php?latex=L%5E2&bg=ffffff&fg=000000&s=0' alt='L^2' title='L^2' class='latex' /> can be negative, but… don’t worry about it. It’s fine.</p>\n<p>If you’re wondering, the spacetime interval is a direct consequence of rule #1 in relativity: the speed of light is the same to everyone. The short way to see this is to notice that if you find the interval between the start and end points of a light beam’s journey, the interval is always zero because <img src='https://s0.wp.com/latex.php?latex=%5Cfrac%7Bd%7D%7Bt%7D%3Dc%5CRightarrow+d%3Dct%5CRightarrow+d%5E2%3D%28ct%29%5E2%5CRightarrow+d%5E2-%28ct%29%5E2%3D0&bg=ffffff&fg=000000&s=0' alt='\\frac{d}{t}=c\\Rightarrow d=ct\\Rightarrow d^2=(ct)^2\\Rightarrow d^2-(ct)^2=0' title='\\frac{d}{t}=c\\Rightarrow d=ct\\Rightarrow d^2=(ct)^2\\Rightarrow d^2-(ct)^2=0' class='latex' />. The long way to see why the interval is what it is, <a href=\"https://www.askamathematician.com/2013/07/q-how-do-you-prove-that-the-spacetime-interval-is-always-the-same/\">is a little long</a>.</p>\n<p>There are two things to notice about the spacetime interval. First, that “c” is the speed of light and it <em>basically</em> provides a unit conversion between meters and seconds (or <a href=\"https://en.wikipedia.org/wiki/FFF_system\">furlongs and fortnights</a>, or whatever units you prefer for distance and time). So 1 second has an interval of about 300,000 km (one “<a href=\"https://en.wikipedia.org/wiki/Light-second\">light-second</a>“), which is most of the distance between here and the Moon. It turns out that the speed at which light travels comes from the “c” in this equation. So the speed of light is dictated by the nature of space and time (as described by the Minkowski metric), not the other way around. Which is good to know.</p>\n<p>Second and more important is that negative. That <em>really</em> screws things up. It is arguably responsible for damn-near all of the weird, unintuitive stuff that falls out of special relativity: time dilations, length contractions, twin paradoxes, Einstein’s haircut and marriages, everything. In particular (and this is why the exchange between distance and duration is so unintuitive), if <img src='https://s0.wp.com/latex.php?latex=d%5E2-%28ct%29%5E2&bg=ffffff&fg=000000&s=0' alt='d^2-(ct)^2' title='d^2-(ct)^2' class='latex' /> is constant, then when d increases, so does t.</p>\n<p>This is in stark contrast to regular distance, where if <img src='https://s0.wp.com/latex.php?latex=x%5E2%2By%5E2&bg=ffffff&fg=000000&s=0' alt='x^2+y^2' title='x^2+y^2' class='latex' /> is constant, an increase in x means a decrease in y. Picture <em>that</em> in your head and it makes sense. Picture relativity in your head and it doesn’t.</p>\n<div id=\"attachment_15867\" style=\"width: 568px\" class=\"wp-caption aligncenter\"><a href=\"https://www.askamathematician.com/wp-content/uploads/2019/02/distanceandinterval.jpg\"><img class=\" wp-image-15867\" src=\"https://www.askamathematician.com/wp-content/uploads/2019/02/distanceandinterval.jpg\" alt=\"\" width=\"558\" height=\"308\" srcset=\"https://www.askamathematician.com/wp-content/uploads/2019/02/distanceandinterval.jpg 782w, https://www.askamathematician.com/wp-content/uploads/2019/02/distanceandinterval-300x165.jpg 300w, https://www.askamathematician.com/wp-content/uploads/2019/02/distanceandinterval-768x423.jpg 768w\" sizes=\"(max-width: 558px) 100vw, 558px\" /></a><p class=\"wp-caption-text\">Left: The points a distance of 1 away form the origin form a circle. The two blue lines are the same length. Right: The points a spacetime interval of 1 away from the origin form a hyperbola. The two red lines are the same “length”. Here time is the vertical axis and one of the space directions is the horizontal axis. So if you sit still you’d trace out a path like the first red line and if you were moving to the right you’d trace out a path like the second red line.</p></div>\n<p>Now brace yourself, because here comes the point. The original question was about a journey that, from the perspective of Earth, was d = 4 light-years long, at a speed of v = 0.8c, and taking t = 5 years. The beauty of using “light units” (light-years, light-seconds, etc.) is that the spacetime interval is really easy to work with. The interval between the launch and landing of the spaceship is:</p>\n<img src='https://s0.wp.com/latex.php?latex=L%5E2%3D-d%5E2%2B%28ct%29%5E2%3D-%284%29%5E2%2B%285%29%5E2%3D-16%2B25%3D9&bg=ffffff&fg=000000&s=0' alt='L^2=-d^2+(ct)^2=-(4)^2+(5)^2=-16+25=9' title='L^2=-d^2+(ct)^2=-(4)^2+(5)^2=-16+25=9' class='latex' />\n<p>So the interval is L = 3 light-years.</p>\n<div id=\"attachment_15878\" style=\"width: 477px\" class=\"wp-caption aligncenter\"><a href=\"https://www.askamathematician.com/wp-content/uploads/2019/02/SameTrip.jpg\"><img class=\" wp-image-15878\" src=\"https://www.askamathematician.com/wp-content/uploads/2019/02/SameTrip.jpg\" alt=\"\" width=\"467\" height=\"253\" srcset=\"https://www.askamathematician.com/wp-content/uploads/2019/02/SameTrip.jpg 789w, https://www.askamathematician.com/wp-content/uploads/2019/02/SameTrip-300x163.jpg 300w, https://www.askamathematician.com/wp-content/uploads/2019/02/SameTrip-768x417.jpg 768w\" sizes=\"(max-width: 467px) 100vw, 467px\" /></a><p class=\"wp-caption-text\">Left: Earth and an alien world sit still (travel through time but not space) 4 light-years apart while a spaceship traveling to the right at v=0.8c takes 5 years to travel between them. Right: A spaceship sits still (travels through time but not space) for 3 years while Earth and an alien world travel to the left at v=0.8c.</p></div>\n<p>Like regular distance, the power of the spacetime interval is that it is the same from all perspectives. From the perspective of the spaceship the launch and landing happen in the same place. It’s like a narcissist on a train: they get on and get off in the same place, while the world moves around them. So d = 0 and it’s just a question of how much time passes:</p>\n<img src='https://s0.wp.com/latex.php?latex=3%5E2%3D-0%5E2%2B%28ct%29%5E2%5CRightarrow+3%5E2%3D%28ct%29%5E2%5CRightarrow+3%3Dct&bg=ffffff&fg=000000&s=0' alt='3^2=-0^2+(ct)^2\\Rightarrow 3^2=(ct)^2\\Rightarrow 3=ct' title='3^2=-0^2+(ct)^2\\Rightarrow 3^2=(ct)^2\\Rightarrow 3=ct' class='latex' />\n<p>So, t = 3 years because 3 light-years divided by the speed of light is 3 years.</p>\n<p>So just like changing your perspective by tilting your head changes the horizontal and vertical lengths of stuff (while leaving the total length the same), changing your perspective by moving at a different speed changes length-in-the-direction-of-motion and duration (while keeping the spacetime interval the same).</p>\n<p>That’s time dilation (5 years for Earth, but 3 years for the spaceship). Length contraction is a little more subtle. Normally when you measure something you get out your meter stick (or yard stick, depending on where you live), put it next to the thing in question and boom: measured. But how do you measure the length of stuff when you’re moving past it? With a stopwatch.</p>\n<div id=\"attachment_15887\" style=\"width: 401px\" class=\"wp-caption aligncenter\"><a href=\"https://www.askamathematician.com/wp-content/uploads/2019/02/mile-marker.jpg\"><img class=\" wp-image-15887\" src=\"https://www.askamathematician.com/wp-content/uploads/2019/02/mile-marker.jpg\" alt=\"\" width=\"391\" height=\"260\" srcset=\"https://www.askamathematician.com/wp-content/uploads/2019/02/mile-marker.jpg 1000w, https://www.askamathematician.com/wp-content/uploads/2019/02/mile-marker-300x199.jpg 300w, https://www.askamathematician.com/wp-content/uploads/2019/02/mile-marker-768x510.jpg 768w\" sizes=\"(max-width: 391px) 100vw, 391px\" /></a><p class=\"wp-caption-text\">How can you tell that mile markers are a mile apart? Because when you’re driving at 60 mph you see one a minute.</p></div>\n<p>So, like the original question pointed out, if it takes you 3 years to get to your destination, which is approaching you at 0.8c, then it must be 3×0.8 = 2.4 light-years away. Notice that in the diagram with the planets above, on the left they’re 5 light-years apart and on the right they’re 2.4ish light-years apart (measure horizontally in the space direction).</p>\n<p>It feels like length contraction should be more complicated than this, but it’s really not. You can get yourself tied in knots thinking about this too hard. After all, when you talk about “the distance to that whatever-it-is” you’re talking about a straight line in spacetime between “here right now” and “over there right now”, but “now” is a little slippery when the “future direction” is relative. Luckily, “time multiplied by speed is distance” works fine.</p>\n<p>There are <a href=\"https://www.askamathematician.com/2011/01/q-why-does-relativistic-length-contraction-lorentz-contraction-happen/\">a few ways to look at the situation</a>, but they all boil down to the same big idea: perspectives moving relative to each other see all kinds of things different. Reality itself, space and time and the stuff in it doesn’t change, but how we view it and interact with it doesn’t <em>quite</em> follow the rules we imagine.</p>\n<div class=\"sharedaddy sd-sharing-enabled\"><div class=\"robots-nocontent sd-block sd-social sd-social-icon-text sd-sharing\"><div class=\"sd-content\"><ul><li class=\"share-email\"><a rel=\"nofollow noopener noreferrer\" data-shared=\"\" class=\"share-email sd-button share-icon\" href=\"https://www.askamathematician.com/2019/02/q-in-relativity-length-contracts-at-high-speeds-but-whats-contracting-is-it-distance-or-space-or-is-there-even-a-difference/?share=email\" target=\"_blank\" title=\"Click to email this to a friend\"><span>Email</span></a></li><li class=\"share-print\"><a rel=\"nofollow noopener noreferrer\" data-shared=\"\" class=\"share-print sd-button share-icon\" href=\"https://www.askamathematician.com/2019/02/q-in-relativity-length-contracts-at-high-speeds-but-whats-contracting-is-it-distance-or-space-or-is-there-even-a-difference/\" target=\"_blank\" title=\"Click to print\"><span>Print</span></a></li><li class=\"share-facebook\"><a rel=\"nofollow noopener noreferrer\" data-shared=\"sharing-facebook-15815\" class=\"share-facebook sd-button share-icon\" href=\"https://www.askamathematician.com/2019/02/q-in-relativity-length-contracts-at-high-speeds-but-whats-contracting-is-it-distance-or-space-or-is-there-even-a-difference/?share=facebook\" target=\"_blank\" title=\"Click to share on Facebook\"><span>Facebook</span></a></li><li class=\"share-reddit\"><a rel=\"nofollow noopener noreferrer\" data-shared=\"\" class=\"share-reddit sd-button share-icon\" href=\"https://www.askamathematician.com/2019/02/q-in-relativity-length-contracts-at-high-speeds-but-whats-contracting-is-it-distance-or-space-or-is-there-even-a-difference/?share=reddit\" target=\"_blank\" title=\"Click to share on Reddit\"><span>Reddit</span></a></li><li class=\"share-twitter\"><a rel=\"nofollow noopener noreferrer\" data-shared=\"sharing-twitter-15815\" class=\"share-twitter sd-button share-icon\" href=\"https://www.askamathematician.com/2019/02/q-in-relativity-length-contracts-at-high-speeds-but-whats-contracting-is-it-distance-or-space-or-is-there-even-a-difference/?share=twitter\" target=\"_blank\" title=\"Click to share on Twitter\"><span>Twitter</span></a></li><li class=\"share-end\"></li></ul></div></div></div>\t\t\t\t\t\t\t</div><!-- .entry-content -->\n\t\n\t\t\t<div class=\"entry-utility\">\n\t\t\t\t\t\t\t\t\t<span class=\"cat-links\">\n\t\t\t\t\t\t<span class=\"entry-utility-prep entry-utility-prep-cat-links\">Posted in</span> <a href=\"https://www.askamathematician.com/category/physicist/\" rel=\"category tag\">-- By the Physicist</a>, <a href=\"https://www.askamathematician.com/category/physics/\" rel=\"category tag\">Physics</a>, <a href=\"https://www.askamathematician.com/category/physics/relativity/\" rel=\"category tag\">Relativity</a>\t\t\t\t\t</span>\n\t\t\t\t\t<span class=\"meta-sep\">|</span>\n\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"comments-link\"><a href=\"https://www.askamathematician.com/2019/02/q-in-relativity-length-contracts-at-high-speeds-but-whats-contracting-is-it-distance-or-space-or-is-there-even-a-difference/#comments\">20 Comments</a></span>\n\t\t\t\t\t\t\t</div><!-- .entry-utility -->\n\t\t</div><!-- #post-## -->\n\n\t\t\n\t\n\n\n\t\t\t<div id=\"post-15378\" class=\"post-15378 post type-post status-publish format-standard hentry category-physicist category-physics category-quantum-theory\">\n\t\t\t<h2 class=\"entry-title\"><a href=\"https://www.askamathematician.com/2019/01/q-can-you-beat-the-uncertainty-principle-using-entanglement-by-measuring-position-on-one-particle-and-momentum-on-the-other/\" rel=\"bookmark\">Q: Can you beat the uncertainty principle using entanglement, by measuring position on one particle and momentum on the other?</a></h2>\n\n\t\t\t<div class=\"entry-meta\">\n\t\t\t\t<span class=\"meta-prep meta-prep-author\">Posted on</span> <a href=\"https://www.askamathematician.com/2019/01/q-can-you-beat-the-uncertainty-principle-using-entanglement-by-measuring-position-on-one-particle-and-momentum-on-the-other/\" title=\"9:43 pm\" rel=\"bookmark\"><span class=\"entry-date\">January 31, 2019</span></a> <span class=\"meta-sep\">by</span> <span class=\"author vcard\"><a class=\"url fn n\" href=\"https://www.askamathematician.com/author/seth/\" title=\"View all posts by The Physicist\">The Physicist</a></span>\t\t\t</div><!-- .entry-meta -->\n\n\t\t\t\t<div class=\"entry-content\">\n\t\t\t\t<p><strong>Physicist</strong>: The Uncertainty Principle is a little subtle. Most folk are introduced to it as “the more precisely you measure the position of a particle, the less precisely you can measure its momentum, and vice versa”. That makes it sound like an engineering problem; something we can get around by, for example, trying harder.</p>\n<div id=\"attachment_15808\" style=\"width: 310px\" class=\"wp-caption aligncenter\"><a href=\"https://www.askamathematician.com/wp-content/uploads/2019/01/POLARA-Microscope.jpg\"><img class=\"size-medium wp-image-15808\" src=\"https://www.askamathematician.com/wp-content/uploads/2019/01/POLARA-Microscope-300x201.jpg\" alt=\"\" width=\"300\" height=\"201\" srcset=\"https://www.askamathematician.com/wp-content/uploads/2019/01/POLARA-Microscope-300x201.jpg 300w, https://www.askamathematician.com/wp-content/uploads/2019/01/POLARA-Microscope.jpg 525w\" sizes=\"(max-width: 300px) 100vw, 300px\" /></a><p class=\"wp-caption-text\">Normally, if there’s a limit to how well you can measure something, you just need better equipment. But “there’s a limit to how well we can measure things” is not what the Uncertainty Principle is about.</p></div>\n<p>But the Uncertainty Principle is a statement about what things are actually like in reality, and the weird limitations on how well we can do measurements is just a symptom. In a very fundamental, profound, and <em>physical</em> sense, everything is a little uncertain.</p>\n<p>To be clear, you <em>can</em> measure the position and momentum of a single particle (or many particles or whatever quantum system you prefer) very precisely, and there’s nothing stopping you from getting very precise results from both measurements. The problem is that those precise measurements don’t really tell you much about the actual quantum state you’re looking at. You can prepare a series of identical quantum states and measure each of them in exactly the same way, but because quantum states are generally a combination of many different states together (what folk in the quantum biz call a “superposition of states”) you generally don’t get the same result over and over.</p>\n<div id=\"attachment_15823\" style=\"width: 310px\" class=\"wp-caption aligncenter\"><a href=\"https://www.askamathematician.com/wp-content/uploads/2019/01/marked420.jpg\"><img class=\"size-medium wp-image-15823\" src=\"https://www.askamathematician.com/wp-content/uploads/2019/01/marked420-300x300.jpg\" alt=\"\" width=\"300\" height=\"300\" srcset=\"https://www.askamathematician.com/wp-content/uploads/2019/01/marked420-300x300.jpg 300w, https://www.askamathematician.com/wp-content/uploads/2019/01/marked420-150x150.jpg 150w, https://www.askamathematician.com/wp-content/uploads/2019/01/marked420.jpg 368w\" sizes=\"(max-width: 300px) 100vw, 300px\" /></a><p class=\"wp-caption-text\">This is a map of where an electron in a particular quantum state (in the 4,2,0 orbital) is most likely to be found when measured. But the electron’s state is this whole thing. If you do a measurement and find the electron at the “x”, you’re still kinda missing the big picture.</p></div>\n<p>An electron in an atomic orbital is in a state with one amount of energy, but many positions. The electron is kinda “smeared out” around the atom. So if you measure the energy you get a definite result, but if you measure the position you could get any result within a range of positions (a small range, what with atoms being small). You can picture this as being like a musical chord and either asking “what chord was played?” or “what note was played?”. For example, the C chord is composed of the C, E, and G notes. If you do a chord measurement (this is not an actual thing, but bear with me), you get a definite answer: C. If you do a note measurement (again, more quantum metaphor than mechanics), then you get one of three results: C, E, or G.</p>\n<div id=\"attachment_15838\" style=\"width: 533px\" class=\"wp-caption aligncenter\"><a href=\"https://www.askamathematician.com/wp-content/uploads/2019/01/light_spec_discrete.jpg\"><img class=\" wp-image-15838\" src=\"https://www.askamathematician.com/wp-content/uploads/2019/01/light_spec_discrete.jpg\" alt=\"\" width=\"523\" height=\"304\" srcset=\"https://www.askamathematician.com/wp-content/uploads/2019/01/light_spec_discrete.jpg 864w, https://www.askamathematician.com/wp-content/uploads/2019/01/light_spec_discrete-300x174.jpg 300w, https://www.askamathematician.com/wp-content/uploads/2019/01/light_spec_discrete-768x446.jpg 768w\" sizes=\"(max-width: 523px) 100vw, 523px\" /></a><p class=\"wp-caption-text\">Each electron orbital is a very specific energy state (hence the discrete spectral lines produced when electrons jump between them), but at the same time each is a superposition of many positions, so the electrons don’t exist in any particular place.</p></div>\n<p>The randomness of the Uncertainty Principle has the same root cause: a single quantum state being composed of many different states at the same time. Like the chord example, a position state is made up of a range of many momentum states. Unlike the chord example, the reverse is also true; a momentum state is composed of many position states. Unintuitively, the fewer position states something is in (the more specific the position) the more momentum states it is also in. Unfortunately, because of this fact (that position is describable in terms of momentum and vice versa) you can <a href=\"https://www.askamathematician.com/2010/08/q-will-we-ever-overcome-the-heisenberg-uncertainty-principle/\">directly derive the uncertainty principle mathematically</a>. In other words, assuming that every experiment ever designed to refute the basic physics didn’t all fail accidentally, the Uncertainty Principle is built into the universe and no cleverness or engineering will overcome it.</p>\n<p>When you prepare many particles (or any other quantum system) in identical quantum states, measure them one after another, and write down the results, you’ll find that there’s some spread in where they show up as well as their momenta. You can prepare states with very little spread in their position or with very little spread in their momenta (so called “squeeze states”), so the Uncertainty Principle isn’t as simple as “everything is random and unpredictable”, it’s about <em>pairs</em> of measurements applied to “conjugate variables” (position and momentum are the classic example).</p>\n<p>The Uncertainty Principle says that if you look at the spread (<a href=\"https://en.wikipedia.org/wiki/Standard_deviation\">standard deviation</a>) of those two measurements for many copies of any given state and multiply those spreads together, their product is always greater than some minimum amount. Explicitly, if <img src='https://s0.wp.com/latex.php?latex=%5CDelta+x&bg=ffffff&fg=000000&s=0' alt='\\Delta x' title='\\Delta x' class='latex' /> and <img src='https://s0.wp.com/latex.php?latex=%5CDelta+p&bg=ffffff&fg=000000&s=0' alt='\\Delta p' title='\\Delta p' class='latex' /> are how spread out the position and momentum are, then <img src='https://s0.wp.com/latex.php?latex=%5CDelta+x+%5CDelta+p%5Cge+%5Cfrac%7Bh%7D%7B4%5Cpi%7D%3D5.273%5Ctimes+10%5E%7B-35%7DJs&bg=ffffff&fg=000000&s=0' alt='\\Delta x \\Delta p\\ge \\frac{h}{4\\pi}=5.273\\times 10^{-35}Js' title='\\Delta x \\Delta p\\ge \\frac{h}{4\\pi}=5.273\\times 10^{-35}Js' class='latex' />. This, it’s worth noting, is a <em>really</em> tiny lower bound. If you’re certain that a brick is in a box, then (were you so compelled) you could nail down its velocity to within around 0.000000000000000000000000000000002 meters per second, which is arguably fairly certain.</p>\n<p>Entanglement doesn’t do much to change the picture. With entangled pairs of particles, a measurement on one mirrors a measurement on the other. You can entangle any property (energy, polarization, delectability, hell even <em>existence</em>), including position and momentum. In a dangerously succinct nutshell, entanglement basically/sorta gives you two chances to make a measurement on a quantum state. Assume particles A and B are position-entangled. If you measure the position of A you’ll be able to say “ah, it’s over here” and if you measure the position of B you’ll be able to say “it sure is”. The two measurements, although otherwise random, agree.</p>\n<p>But what you’d really like to see is a precise position measurement on A and a precise momentum measurement on B. It turns out: that’s fine. Once again, that spread of results shows up. If A shows up in some region, there is a corresponding set of momentum states that are compatible with that (if a certain “chord is played” there is a particular “set of notes” involved) and when you measure B, you’ll see one of those.</p>\n<p>So entanglement does give you another chance to measure a quantum state with as much precision as you might desire, but… it doesn’t really change anything. The Uncertainty Principle doesn’t say “you can’t simultaneously measure position and momentum with nigh perfect precision!”, it says “it doesn’t matter if you do!”.</p>\n<p>The giant microscope picture is from <a href=\"http://www.ks.uiuc.edu/History/MDFF/\">here</a>.</p>\n<div class=\"sharedaddy sd-sharing-enabled\"><div class=\"robots-nocontent sd-block sd-social sd-social-icon-text sd-sharing\"><div class=\"sd-content\"><ul><li class=\"share-email\"><a rel=\"nofollow noopener noreferrer\" data-shared=\"\" class=\"share-email sd-button share-icon\" href=\"https://www.askamathematician.com/2019/01/q-can-you-beat-the-uncertainty-principle-using-entanglement-by-measuring-position-on-one-particle-and-momentum-on-the-other/?share=email\" target=\"_blank\" title=\"Click to email this to a friend\"><span>Email</span></a></li><li class=\"share-print\"><a rel=\"nofollow noopener noreferrer\" data-shared=\"\" class=\"share-print sd-button share-icon\" href=\"https://www.askamathematician.com/2019/01/q-can-you-beat-the-uncertainty-principle-using-entanglement-by-measuring-position-on-one-particle-and-momentum-on-the-other/\" target=\"_blank\" title=\"Click to print\"><span>Print</span></a></li><li class=\"share-facebook\"><a rel=\"nofollow noopener noreferrer\" data-shared=\"sharing-facebook-15378\" class=\"share-facebook sd-button share-icon\" href=\"https://www.askamathematician.com/2019/01/q-can-you-beat-the-uncertainty-principle-using-entanglement-by-measuring-position-on-one-particle-and-momentum-on-the-other/?share=facebook\" target=\"_blank\" title=\"Click to share on Facebook\"><span>Facebook</span></a></li><li class=\"share-reddit\"><a rel=\"nofollow noopener noreferrer\" data-shared=\"\" class=\"share-reddit sd-button share-icon\" href=\"https://www.askamathematician.com/2019/01/q-can-you-beat-the-uncertainty-principle-using-entanglement-by-measuring-position-on-one-particle-and-momentum-on-the-other/?share=reddit\" target=\"_blank\" title=\"Click to share on Reddit\"><span>Reddit</span></a></li><li class=\"share-twitter\"><a rel=\"nofollow noopener noreferrer\" data-shared=\"sharing-twitter-15378\" class=\"share-twitter sd-button share-icon\" href=\"https://www.askamathematician.com/2019/01/q-can-you-beat-the-uncertainty-principle-using-entanglement-by-measuring-position-on-one-particle-and-momentum-on-the-other/?share=twitter\" target=\"_blank\" title=\"Click to share on Twitter\"><span>Twitter</span></a></li><li class=\"share-end\"></li></ul></div></div></div>\t\t\t\t\t\t\t</div><!-- .entry-content -->\n\t\n\t\t\t<div class=\"entry-utility\">\n\t\t\t\t\t\t\t\t\t<span class=\"cat-links\">\n\t\t\t\t\t\t<span class=\"entry-utility-prep entry-utility-prep-cat-links\">Posted in</span> <a href=\"https://www.askamathematician.com/category/physicist/\" rel=\"category tag\">-- By the Physicist</a>, <a href=\"https://www.askamathematician.com/category/physics/\" rel=\"category tag\">Physics</a>, <a href=\"https://www.askamathematician.com/category/physics/quantum-theory/\" rel=\"category tag\">Quantum Theory</a>\t\t\t\t\t</span>\n\t\t\t\t\t<span class=\"meta-sep\">|</span>\n\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"comments-link\"><a href=\"https://www.askamathematician.com/2019/01/q-can-you-beat-the-uncertainty-principle-using-entanglement-by-measuring-position-on-one-particle-and-momentum-on-the-other/#comments\">7 Comments</a></span>\n\t\t\t\t\t\t\t</div><!-- .entry-utility -->\n\t\t</div><!-- #post-## -->\n\n\t\t\n\t\n\n\n\t\t\t<div id=\"post-15750\" class=\"post-15750 post type-post status-publish format-standard hentry category-physicist category-physics\">\n\t\t\t<h2 class=\"entry-title\"><a href=\"https://www.askamathematician.com/2018/12/q-why-do-clouds-hold-their-form/\" rel=\"bookmark\">Q: Why do clouds hold their form?</a></h2>\n\n\t\t\t<div class=\"entry-meta\">\n\t\t\t\t<span class=\"meta-prep meta-prep-author\">Posted on</span> <a href=\"https://www.askamathematician.com/2018/12/q-why-do-clouds-hold-their-form/\" title=\"9:49 pm\" rel=\"bookmark\"><span class=\"entry-date\">December 31, 2018</span></a> <span class=\"meta-sep\">by</span> <span class=\"author vcard\"><a class=\"url fn n\" href=\"https://www.askamathematician.com/author/seth/\" title=\"View all posts by The Physicist\">The Physicist</a></span>\t\t\t</div><!-- .entry-meta -->\n\n\t\t\t\t<div class=\"entry-content\">\n\t\t\t\t<p><strong>Physicist</strong>: The short answer is: they don’t!</p>\n<p>Clouds are just a bunch of moisture in the air (contain your shock). What’s a little surprising is that the transparent, non-cloudy air around them typically has almost the same amount of moisture. So when you see clouds in the sky, you’re not seeing a few wet blobs surrounded by dry air, you’re seeing a <em>lot</em> of humid air, some fraction of which has tipped past the dew point and begun to condense into visible vapor.</p>\n<p>A patch of air can only hold so much water vapor. Hotter or denser air can hold more, and colder or thinner air can hold less. The “dew point” is where the air can no longer hold water vapor, which instead begins to condense out and become visible.</p>\n<p>Evaporated water condenses when the humidity of the air it’s in increases too much, or when the temperature drops too much. That’s why you can see your breath when it’s cold outside. The air in your lungs is warm (because you’re a mammal) and it has plenty of opportunity to pick up moisture (because lungs are soggy and gross). Mixing with cold air means that the temperature of your exhalation crashes and drops through the dew point, making it visible. Mixing with lots of nearby drier air dilutes your breath, dropping the humidity in any particular parcel of air, and raises the breath/outside-air mixture back above the dew point.</p>\n<div id=\"attachment_15764\" style=\"width: 347px\" class=\"wp-caption aligncenter\"><a href=\"https://www.askamathematician.com/wp-content/uploads/2018/12/respiración.jpg\"><img class=\"wp-image-15764 \" src=\"https://www.askamathematician.com/wp-content/uploads/2018/12/respiración-300x201.jpg\" alt=\"\" width=\"337\" height=\"226\" srcset=\"https://www.askamathematician.com/wp-content/uploads/2018/12/respiración-300x201.jpg 300w, https://www.askamathematician.com/wp-content/uploads/2018/12/respiración.jpg 746w\" sizes=\"(max-width: 337px) 100vw, 337px\" /></a><p class=\"wp-caption-text\">Your breath is warm, so in your (humid) lungs it’s above the dew point. When it cools it drops below the dew point and becomes visible. Then as it mixes with drier air, it pops back above the dew point and disappears.</p></div>\n<p>Clouds are governed by the same physics. If you spend some time staring at clouds (and why wouldn’t you?), you’ll find that they continuously grow and shrink, appearing and disappearing. A given cloud maintains its rough shape and position because it takes time for conditions in air to change; if the air in some region is on one side of the dew point, then it’ll probably stay there for the next few minutes. But if you speed up time, you find that clouds don’t hold their shape any better than steam coming out of a kettle.</p>\n\n\n<figure class=\"wp-block-video\"><video autoplay loop src=\"https://www.askamathematician.com/wp-content/uploads/2018/12/clouds-1.mov\"></video><figcaption>The water vapor in air condenses and evaporates all the time, depending on the temperature, pressure, and humidity at every given location. While those parameters change smoothly, the dew point is fairly sharp, so the air goes flips between clear and cloudy pretty abruptly (which is why clouds don’t fade out at the edges). </figcaption></figure>\n\n\n<p>The big difference between clouds-in-the-sky and breath-on-a-cold-day is what causes the air to pass through the dew point. The dew point depends on both the humidity and temperature. For breath, the local humidity fluctuates a lot (as anyone with close-talking friends can tell you). For clouds, the humidity stays relatively constant, but as the air changes temperature (mostly through the expansion or contraction from changing altitude) different regions pass through the dew point and become clouds. If you’re in the middle of the ocean or Kansas (or any other flat, featureless landscape), there’s no particular reason for any given location in the sky to have a cloud. It’s just the luck of the draw (humidly speaking).</p>\n<p>But when the conditions change predictably, the clouds appear and disappear predictably and you get “lenticular clouds”. <a href=\"https://www.youtube.com/watch?v=SOupoW8qlps\">Here are some beautiful examples</a>. Lenticular clouds are a great way to see that clouds aren’t “objects” that move through the sky, they’re regions that, for whatever reason, are below the dew point.</p>\n<p>Normally air moves across the land or sea in a “laminar”, smooth way, with nary a tumble or nor turbulence. Across grasslands clouds tend to vary slowly and randomly, but when there’s an obstruction, like mountains, suddenly the air is forced to flow in a particular pattern. If that pattern involves abrupt changes of altitude, then the air experiences abrupt changes in pressure and temperature which leads to abrupt changes in cloudness. The same amount of moisture is present in the air at the foot of the mountain as there is at the top (give or take), but the top of the mountain is where you’ll see clouds. In fact, if the conditions are just right, this is a clever/cheap way to get some insight into what the (normally) invisible air currents are.</p>\n\n\n<figure class=\"wp-block-video\"><video autoplay loop src=\"https://www.askamathematician.com/wp-content/uploads/2018/12/lenticular.mov\"></video><figcaption>The same air that flows along the foothills flows over the peaks, and yet it only forms clouds over the peaks.</figcaption></figure>\n\n\n\n<p>So clouds <em>roughly</em> hold their shape (for a little while) because it takes time for the humidity or temperature to change, or for the cloud to be twisted up by local air currents. But since they’re not “blobs-of-water” so much as “patches-of-air-with-slightly-different-conditions” they change continuously and are free to pop in and out as they cross the dew point.</p>\n\n\n\n<p>As for how they manage to be pretty and invariably end up looking like something familiar (cotton, marshmallow men, other clouds, negative Rorschach blots, etc.), that’s more psychological than climatological.</p>\n\n\n\n<p>The clouds passing by overhead video is from <a href=\"https://www.youtube.com/watch?v=yxB_QUnyiug\">here</a>.</p>\n\n\n\n<p>The lenticular cloud video is from <a href=\"https://www.youtube.com/watch?v=zxfDnr3FN7g\">here</a>.</p>\n<div class=\"sharedaddy sd-sharing-enabled\"><div class=\"robots-nocontent sd-block sd-social sd-social-icon-text sd-sharing\"><div class=\"sd-content\"><ul><li class=\"share-email\"><a rel=\"nofollow noopener noreferrer\" data-shared=\"\" class=\"share-email sd-button share-icon\" href=\"https://www.askamathematician.com/2018/12/q-why-do-clouds-hold-their-form/?share=email\" target=\"_blank\" title=\"Click to email this to a friend\"><span>Email</span></a></li><li class=\"share-print\"><a rel=\"nofollow noopener noreferrer\" data-shared=\"\" class=\"share-print sd-button share-icon\" href=\"https://www.askamathematician.com/2018/12/q-why-do-clouds-hold-their-form/\" target=\"_blank\" title=\"Click to print\"><span>Print</span></a></li><li class=\"share-facebook\"><a rel=\"nofollow noopener noreferrer\" data-shared=\"sharing-facebook-15750\" class=\"share-facebook sd-button share-icon\" href=\"https://www.askamathematician.com/2018/12/q-why-do-clouds-hold-their-form/?share=facebook\" target=\"_blank\" title=\"Click to share on Facebook\"><span>Facebook</span></a></li><li class=\"share-reddit\"><a rel=\"nofollow noopener noreferrer\" data-shared=\"\" class=\"share-reddit sd-button share-icon\" href=\"https://www.askamathematician.com/2018/12/q-why-do-clouds-hold-their-form/?share=reddit\" target=\"_blank\" title=\"Click to share on Reddit\"><span>Reddit</span></a></li><li class=\"share-twitter\"><a rel=\"nofollow noopener noreferrer\" data-shared=\"sharing-twitter-15750\" class=\"share-twitter sd-button share-icon\" href=\"https://www.askamathematician.com/2018/12/q-why-do-clouds-hold-their-form/?share=twitter\" target=\"_blank\" title=\"Click to share on Twitter\"><span>Twitter</span></a></li><li class=\"share-end\"></li></ul></div></div></div>\t\t\t\t\t\t\t</div><!-- .entry-content -->\n\t\n\t\t\t<div class=\"entry-utility\">\n\t\t\t\t\t\t\t\t\t<span class=\"cat-links\">\n\t\t\t\t\t\t<span class=\"entry-utility-prep entry-utility-prep-cat-links\">Posted in</span> <a href=\"https://www.askamathematician.com/category/physicist/\" rel=\"category tag\">-- By the Physicist</a>, <a href=\"https://www.askamathematician.com/category/physics/\" rel=\"category tag\">Physics</a>\t\t\t\t\t</span>\n\t\t\t\t\t<span class=\"meta-sep\">|</span>\n\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"comments-link\"><a href=\"https://www.askamathematician.com/2018/12/q-why-do-clouds-hold-their-form/#comments\">3 Comments</a></span>\n\t\t\t\t\t\t\t</div><!-- .entry-utility -->\n\t\t</div><!-- #post-## -->\n\n\t\t\n\t\n\n\t\t\t\t<div id=\"nav-below\" class=\"navigation\">\n\t\t\t\t\t<div class=\"nav-previous\"><a href=\"https://www.askamathematician.com/page/2/\" ><span class=\"meta-nav\">←</span> Older posts</a></div>\n\t\t\t\t\t<div class=\"nav-next\"></div>\n\t\t\t\t</div><!-- #nav-below -->\n\t\t\t</div><!-- #content -->\n\t\t</div><!-- #container -->\n\n\n\t\t<div id=\"primary\" class=\"widget-area\" role=\"complementary\">\n\t\t\t<ul class=\"xoxo\">\n\n<li id=\"text-5\" class=\"widget-container widget_text\"><h3 class=\"widget-title\">Send your questions about math, physics, or anything else you can think of to:</h3>\t\t\t<div class=\"textwidget\"><img src=\"https://www.askamathematician.com/wp-content/uploads/2017/03/AAMAAPemail.jpg\" alt=\"Email\" />\r\n</div>\n\t\t</li><li id=\"widget_sp_image-3\" class=\"widget-container widget_sp_image\"><a href=\"https://www.amazon.com/Do-Colors-Exist-profound-questions/dp/3319643606\" target=\"_self\" class=\"widget_sp_image-image-link\"><img width=\"639\" height=\"1074\" class=\"attachment-full\" style=\"max-width: 100%;\" srcset=\"https://www.askamathematician.com/wp-content/uploads/2018/01/frontcoverforwebsite.jpg 639w, https://www.askamathematician.com/wp-content/uploads/2018/01/frontcoverforwebsite-178x300.jpg 178w, https://www.askamathematician.com/wp-content/uploads/2018/01/frontcoverforwebsite-609x1024.jpg 609w\" sizes=\"(max-width: 639px) 100vw, 639px\" src=\"https://www.askamathematician.com/wp-content/uploads/2018/01/frontcoverforwebsite.jpg\" /></a><div class=\"widget_sp_image-description\" ><p>There's a book! 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href='https://www.askamathematician.com/2010/03/'>March 2010</a> (12)</li>\n\t<li><a href='https://www.askamathematician.com/2010/02/'>February 2010</a> (11)</li>\n\t<li><a href='https://www.askamathematician.com/2010/01/'>January 2010</a> (16)</li>\n\t<li><a href='https://www.askamathematician.com/2009/12/'>December 2009</a> (12)</li>\n\t<li><a href='https://www.askamathematician.com/2009/11/'>November 2009</a> (15)</li>\n\t<li><a href='https://www.askamathematician.com/2009/10/'>October 2009</a> (10)</li>\n\t\t</ul>\n\t\t</li>\t\t<li id=\"recent-posts-3\" class=\"widget-container widget_recent_entries\">\t\t<h3 class=\"widget-title\">Recent</h3>\t\t<ul>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2019/04/q-why-was-it-so-hard-to-take-a-picture-of-a-black-hole-what-are-we-even-looking-at/\">Q: Why was it so hard to take a picture of a black hole? What are we even looking at?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2019/03/q-will-time-travel-ever-be-invented/\">Q: Will time travel ever be invented?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2019/03/q-why-is-a-negative-times-a-negative-positive/\">Q: Why is a negative times a negative positive?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2019/02/q-in-relativity-length-contracts-at-high-speeds-but-whats-contracting-is-it-distance-or-space-or-is-there-even-a-difference/\">Q: In relativity, length contracts at high speeds. But what’s contracting? Is it distance or space or is there even a difference?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2019/01/q-can-you-beat-the-uncertainty-principle-using-entanglement-by-measuring-position-on-one-particle-and-momentum-on-the-other/\">Q: Can you beat the uncertainty principle using entanglement, by measuring position on one particle and momentum on the other?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2018/12/q-why-do-clouds-hold-their-form/\">Q: Why do clouds hold their form?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2018/12/an-origin-story/\">An origin story</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2018/11/q-can-free-will-exist-in-our-deterministic-universe/\">Q: Can free will exist in our deterministic universe?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2018/10/q-what-is-the-monogamy-of-entanglement/\">Q: What is the “monogamy of entanglement”?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2018/09/q-could-dark-matter-actually-be-the-gravitational-shadow-of-parallel-universes/\">Q: Could dark matter actually be the “gravitational shadow” of parallel universes?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2018/09/burning-mans-mathematical-underbelly/\">Burning Man’s Mathematical Underbelly</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2018/08/q-how-was-the-number-%cf%80-first-discovered-how-did-we-first-figure-out-it-was-3-14/\">Q: How was the number π first discovered? How did we first figure out it was 3.14…?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2018/07/q-given-two-points-on-the-globe-how-do-you-figure-out-the-direction-and-distance-to-each-other/\">Q: Given two points on the globe, how do you figure out the direction and distance to each other?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2018/07/q-is-it-possible-to-eat-all-of-the-ice-cream-in-a-bowl/\">Q: Is it possible to eat all of the ice cream in a bowl?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2018/06/q-could-the-proton-torpedoes-in-star-wars-be-a-thing/\">Q: Could the “proton torpedoes” in Star Wars be a thing?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2018/06/q-why-does-gravity-pull-things-toward-the-center-of-mass-whats-so-special-about-the-center-of-mass/\">Q: Why does gravity pull things toward the center of mass? What’s so special about the center of mass?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2018/05/q-in-relativity-how-do-you-define-the-observer/\">Q: In relativity, how do you define “the observer”?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2018/05/story-collider/\">Story Collider</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2018/05/for-the-first-time-ever-you-can-buy-a-book-again/\">For the first time ever, you can buy a book! Again!</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2018/05/q-what-is-the-most-complicated-equation/\">Q: What is the most complicated equation?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2018/04/q-what-is-quantum-immortality/\">Q: What is quantum immortality?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2018/04/q-if-you-double-your-bet-every-time-you-lose-wont-you-eventually-win-and-come-out-ahead/\">Q: If you double your bet every time you lose, won’t you eventually win and come out ahead?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2018/04/q-will-we-ever-discover-a-completely-new-color/\">Q: Will we ever discover a completely new color?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2018/03/q-with-entangled-particles-can-you-tell-when-how-the-other-particle-is-measured/\">Q: With entangled particles, can you tell when/how the other particle is measured?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2018/02/q-how-hard-would-it-be-to-keep-the-moon-from-drifting-away/\">Q: How hard would it be to keep the Moon from drifting away?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2018/01/for-the-first-time-ever-you-can-buy-a-book/\">For the first time ever, you can buy a book!</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2018/01/q-where-is-all-the-anti-matter/\">Q: Where is all the anti-matter?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2017/12/q-is-it-possible-to-write-a-big-number-using-a-small-number-is-there-a-limit-to-how-much-information-can-be-compressed/\">Q: Is it possible to write a big number using a small number? Is there a limit to how much information can be compressed?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2017/12/q-is-reactionless-propulsion-possible/\">Q: Is reactionless propulsion possible?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2017/11/q-how-can-i-set-up-a-random-gift-exchange-thats-different-from-year-to-year/\">Q: How can I set up a random gift exchange that’s different from year to year?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2017/11/q-how-does-12345-112-make-any-sense/\">Q: How does “1+2+3+4+5+… = -1/12” make any sense?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2017/11/theres-something-new-under-the-sun/\">There’s something new under the Sun!</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2017/11/q-is-it-more-efficient-to-keep-keep-a-swimming-pool-warm-or-let-it-get-cold-and-heat-it-up-again/\">Q: Is it more efficient to keep keep a swimming pool warm or let it get cold and heat it up again?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2017/10/q-what-determines-the-size-of-the-bright-spot-when-you-focus-sunlight-with-a-lens/\">Q: What determines the size of the bright spot when you focus sunlight with a lens?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2017/09/q-why-are-numerical-methods-necessary-if-we-cant-get-exact-solutions-then-how-do-we-know-when-our-approximate-solutions-are-any-good/\">Q: Why are numerical methods necessary? If we can’t get exact solutions, then how do we know when our approximate solutions are any good?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2017/08/burning-man-2017/\">Burning Man 2017</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2017/08/q-how-can-something-be-proven-in-science-or-math/\">Q: How can something be “proven” in science or math?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2017/07/q-if-time-is-relative-then-how-can-we-talk-about-how-old-the-universe-is/\">Q: If time is relative, then how can we talk about how old the universe is?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2017/07/q-how-can-carbon-dating-work-on-things-that-were-never-alive/\">Q: How can carbon dating work on things that were never alive?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2017/07/teleportation-in-space/\">Teleportation! In space!</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2017/07/q-if-the-world-is-a-giant-magnet-how-come-we-cant-build-a-repelling-magnet-that-can-float/\">Q: If the world is a giant magnet, how come we can’t build a repelling magnet that can float?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2017/06/q-how-can-something-have-different-amounts-of-energy-from-different-points-of-view/\">Q: How can something have different amounts of energy from different points of view?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2017/06/q-where-is-the-middle-of-nowhere/\">Q: Where is the middle of nowhere?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2017/05/q-if-light-is-a-wave-then-whats-doing-the-waving/\">Q: If light is a wave, then what’s doing the waving?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2017/04/q-if-youve-got-different-amounts-of-debt-in-different-accounts-with-different-interest-rates-how-should-you-pay-them-down/\">Q: If you’ve got different amounts of debt in different accounts with different interest rates, how should you pay them down?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2017/04/q-should-we-be-worried-about-artificial-intelligence-by-we-i-mean-humans/\">Q: Should we be worried about artificial intelligence? By “we” I mean humans.</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2017/03/q-why-havent-we-been-able-to-see-the-spectra-of-anti-hydrogen-until-recently-why-is-it-so-hard-to-study-anti-matter/\">Q: Why haven’t we been able to see the spectra of anti-hydrogen until recently? Why is it so hard to study anti-matter?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2017/02/q-does-quantum-mechanics-really-say-there-are-other-mes-where-are-they/\">Q: Does quantum mechanics really say there are other “mes”? Where are they?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2017/01/q-in-base-ten-10-999-but-what-about-in-other-bases-what-about-in-base-1/\">Q: In base ten 1=0.999…, but what about in other bases? What about in base 1?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2016/12/q-how-many-samples-do-you-need-to-take-to-know-how-big-a-set-is/\">Q: How many samples do you need to take to know how big a set is?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2016/11/q-does-anti-matter-really-move-backward-through-time/\">Q: Does anti-matter really move backward through time?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2016/11/q-how-do-we-know-that-everyone-has-a-common-anecestor-how-do-we-know-that-someone-alive-today-will-someday-be-a-common-ancestor-to-everyone/\">Q: How do we know that everyone has a common anecestor? How do we know that someone alive today will someday be a common ancestor to everyone?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2016/11/q-are-some-colors-of-light-impossible-can-any-color-of-light-be-made/\">Q: Are some colors of light impossible? Can any color of light be made?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2016/10/proxima-b/\">Proxima B!</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2016/09/q-is-there-anything-unique-about-our-solar-system/\">Q: Is there anything unique about our solar system?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2016/08/q-what-is-dark-energy/\">Q: What is dark energy?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2016/06/q-what-are-actual-pictures-of-atoms-actually-pictures-of/\">Q: What are “actual pictures” of atoms actually pictures of?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2016/06/q-if-you-were-shrunk-to-microscopic-size-would-you-be-able-to-see-normally-would-you-be-able-to-see-microscopic-things/\">Q: If you were shrunk to microscopic size would you be able to see normally? Would you be able to see microscopic things?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2016/04/q-how-does-one-attain-an-understanding-of-everything/\">Q: How does one attain an understanding of everything?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2016/02/q-can-planes-sheets-be-tied-in-knots-in-higher-dimensions-the-way-lines-strings-can-be-tied-in-knots-in-3-dimensions/\">Q: Can planes (sheets) be tied in knots in higher dimensions the way lines (strings) can be tied in knots in 3 dimensions?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2016/02/gravity-waves/\">Gravity Waves!</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2016/01/q-is-it-possible-to-parachute-to-earth-from-orbit/\">Q: Is it possible to parachute to Earth from orbit?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2015/12/q-why-cant-we-see-the-lunar-landers-from-the-apollo-missions-with-the-hubble-or-any-other-telescope/\">Q: Why can’t we see the lunar landers from the Apollo missions with the Hubble (or any other) telescope?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2015/11/q-how-bad-would-it-be-if-we-accidentally-made-a-black-hole/\">Q: How bad would it be if we accidentally made a black hole?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2015/10/q-what-if-gravity-acted-like-magnetism/\">Q: What if gravity acted like magnetism?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2015/07/q-when-you-write-a-fraction-with-a-prime-denominator-in-decimal-form-it-repeats-every-p-1-digits-why/\">Q: When you write a fraction with a prime denominator in decimal form it repeats every p-1 digits. Why?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2015/07/pluto/\">Pluto!</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2015/07/q-if-atoms-are-99-99-space-what-kind-of-space-is-it-is-it-empty-vacuum/\">Q: If atoms are 99.99% space, what “kind” of space is it? Is it empty vacuum?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2015/06/q-is-geocentrism-really-so-wrong-is-the-sun-being-at-the-center-i-e-the-earth-orbiting-the-sun-just-an-arbitrary-reference-frame-decision-and-no-more-true-than-the-earth-being-at-the-center/\">Q: Is geocentrism really so wrong? Is the Sun being at the “center” (i.e. the Earth orbiting the Sun) just an arbitrary reference frame decision, and no more true than the Earth being at the center?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2015/05/q-is-there-such-a-thing-as-half-a-derivative/\">Q: Is there such a thing as half a derivative?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2015/05/q-why-is-our-moon-drifting-away-while-mars-moons-are-falling/\">Q: Why is our Moon drifting away while Mars’ moons are falling?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2015/04/q-why-do-we-people-wave-our-arms-when-we-fall-is-it-for-attention/\">Q: Why do we (people) wave our arms when we fall? Is it for attention?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2015/04/q-what-is-the-state-of-matter-in-deep-space/\">Q: What is the state of matter in deep space?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2015/04/q-is-there-a-scientific-conspiracy/\">Q: Is there a scientific conspiracy?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2015/03/q-after-the-heat-death-of-the-universe-will-anything-ever-happen-again/\">Q: After the heat death of the universe will anything ever happen again?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2015/03/q-why-does-kinetic-energy-increase-as-velocity-squared/\">Q: Why does kinetic energy increase as velocity squared?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2015/02/q-quaternions-and-octonions-what/\">Q: Quaternions and Octonions: what?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2015/02/q-since-the-earth-is-spinning-and-orbiting-and-whatnot-are-we-experiencing-time-wrong-because-of-time-dilation/\">Q: Since the Earth is spinning and orbiting and whatnot, are we experiencing time wrong because of time dilation?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2015/01/q-how-do-i-know-my-windmill-is-on-straight/\">Q: How do I know my windmill is on straight?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2015/01/q-if-all-matter-originated-from-a-single-point-does-that-mean-all-matter-is-entangled/\">Q: If all matter originated from a single point, does that mean all matter is entangled?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2014/12/q-how-good-is-the-enigma-code-system-compared-to-todays-publicly-available-cryptography-systems/\">Q: How good is the Enigma code system compared to today’s publicly available cryptography systems?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2014/11/q-when-drawing-straws-is-it-better-to-be-first-or-last/\">Q: When “drawing straws” is it better to be first or last?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2014/11/q-what-would-happen-if-there-was-a-giant-straw-connecting-the-earths-atmosphere-right-above-the-ground-to-space/\">Q: What would happen if there was a giant straw connecting the Earth’s atmosphere right above the ground to space?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2014/11/q-can-a-human-being-survive-in-the-fourth-dimension/\">Q: Can a human being survive in the fourth dimension?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2014/10/q-why-radians/\">Q: Why radians?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2014/10/q-if-the-sun-pulls-things-directly-toward-it-then-why-does-everything-move-in-circles-around-it/\">Q: If the Sun pulls things directly toward it, then why does everything move in circles around it?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2014/10/q-why-is-the-area-of-a-circle-equal-to-%cf%80r2/\">Q: Why is the area of a circle equal to πR<sup>2</sup>?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2014/09/0-999-revisited/\">0.999… revisited</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2014/08/q-before-you-open-the-box-isnt-schrodingers-cat-alive-or-dead-not-alive-and-dead/\">Q: Before you open the box, isn’t Schrödinger’s cat alive or dead, not alive and dead?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2014/08/q-how-many-times-do-you-need-to-roll-dice-before-you-know-theyre-loaded/\">Q: How many times do you need to roll dice before you know they’re loaded?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2014/08/q-since-it-involves-limits-is-calculus-always-an-approximation/\">Q: Since it involves limits, is calculus always an approximation?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2014/07/q-how-does-earths-magnetic-field-protect-us/\">Q: How does Earth’s magnetic field protect us?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2014/06/q-if-a-long-hot-streak-is-less-likely-than-a-short-hot-streak-then-doesnt-that-mean-that-the-chance-of-success-drops-the-more-successes-there-are/\">Q: If a long hot streak is less likely than a short hot streak, then doesn’t that mean that the chance of success drops the more successes there are?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2014/06/q-where-do-the-rules-for-significant-figures-come-from/\">Q: Where do the rules for “significant figures” come from?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2014/05/q-if-time-slows-down-when-you-travel-at-high-speeds-then-couldnt-you-travel-across-the-galaxy-within-your-lifetime-by-just-accelerating-continuously/\">Q: If time slows down when you travel at high speeds, then couldn’t you travel across the galaxy within your lifetime by just accelerating continuously?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2014/05/q-when-something-falls-on-your-foot-how-much-force-is-involved/\">Q: When something falls on your foot, how much force is involved?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2014/05/q-if-nothing-can-escape-a-black-holes-gravity-then-how-does-the-gravity-itself-escape/\">Q: If nothing can escape a black hole’s gravity, then how does the gravity itself escape?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2014/05/q-is-there-a-formula-for-finding-primes-do-primes-follow-a-pattern/\">Q: Is there a formula for finding primes? Do primes follow a pattern?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2014/04/q-if-the-number-of-ancestors-you-have-doubles-with-each-generation-going-back-you-quickly-get-to-a-number-bigger-than-the-population-of-earth-does-that-mean-were-all-a-little-inbred/\">Q: If the number of ancestors you have doubles with each generation going back, you quickly get to a number bigger than the population of Earth. Does that mean we’re all a little inbred?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2014/04/q-why-are-many-galaxies-our-solar-system-and-saturns-rings-all-flat/\">Q: Why are many galaxies, our solar system, and Saturn’s rings all flat?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2014/04/q-how-do-you-define-the-derivatives-of-the-heaviside-sign-absolute-value-and-delta-functions-how-do-they-relate-to-one-another/\">Q: How do you define the derivatives of the Heaviside, Sign, Absolute Value, and Delta functions? How do they relate to one another?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2014/04/q-what-does-emc2-mean/\">Q: What does “E=mc<sup>2</sup>” mean?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2014/04/q-is-it-possible-to-have-a-completely-original-thought/\">Q: Is it possible to have a completely original thought?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2014/03/q-how-can-the-universe-expand-faster-than-the-speed-of-light/\">Q: How can the universe expand faster than the speed of light?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2014/02/q-how-fast-are-we-moving-through-space-has-anyone-calculated-it/\">Q: How fast are we moving through space? Has anyone calculated it?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2014/01/q-if-you-flip-a-coin-forever-are-you-guaranteed-to-eventually-flip-an-equal-number-of-heads-and-tails/\">Q: If you flip a coin forever, are you guaranteed to eventually flip an equal number of heads and tails?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2013/12/q-what-is-radioactivity-and-why-is-it-sometimes-dangerous/\">Q: What is radioactivity and why is it sometimes dangerous?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2013/12/q-how-do-we-know-that-%cf%80-never-repeats-if-we-find-enough-digits-isnt-it-possible-that-it-will-eventually-start-repeating/\">Q: How do we know that π never repeats? If we find enough digits, isn’t it possible that it will eventually start repeating?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2013/12/q-why-does-carbon-dating-detect-when-things-were-alive-how-are-the-atoms-in-living-things-any-different-from-the-atoms-in-dead-things/\">Q: Why does carbon dating detect when things were alive? How are the atoms in living things any different from the atoms in dead things?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2013/12/q-what-roll-does-dark-matter-play-in-the-behavior-of-things-inside-the-solar-system/\">Q: What role does Dark Matter play in the behavior of things inside the solar system?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2013/11/q-are-some-number-patterns-more-or-less-likely-are-some-betting-schemes-better-than-others/\">Q: Are some number patterns more or less likely? Are some betting schemes better than others?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2013/11/q-why-does-iron-kill-stars/\">Q: Why does iron kill stars?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2013/11/q-according-to-relativity-things-get-more-massive-the-faster-they-move-if-something-were-moving-fast-enough-would-it-become-a-black-hole/\">Q: According to relativity, things get more massive the faster they move. If something were moving fast enough, would it become a black hole?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2013/11/q-how-do-we-know-that-atomic-clocks-are-accurate/\">Q: How do we know that atomic clocks are accurate?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2013/10/q-i-had-to-be-made-up-to-solve-the-square-root-of-negative-one-but-doesnt-something-new-need-to-be-made-up-for-the-square-root-of-i/\">Q: “i” had to be made up to solve the square root of negative one. But doesn’t something new need to be made up for the square root of i?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2013/10/q-could-the-tidal-forces-of-the-sun-and-moon-be-used-to-generate-power-directly/\">Q: Could the tidal forces of the Sun and Moon be used to generate power directly?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2013/10/q-what-would-it-be-like-if-another-planet-just-barely-missed-colliding-with-the-earth/\">Q: What would it be like if another planet just barely missed colliding with the Earth?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2013/10/q-what-are-delayed-choice-experiments-can-wave-function-collapse-be-used-to-send-information/\">Q: What are “delayed choice experiments”? Can “wave function collapse” be used to send information?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2013/09/q-why-can-some-creatures-walk-on-water-yet-i-a-human-cant/\">Q: Why can some creatures walk on water yet I (a human) can’t?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2013/09/q-what-fair-dice-can-be-created-by-adding-up-relabeled-dice/\">Q: What fair dice can be simulated by adding up other dice?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2013/09/q-how-do-i-encrypthideprotect-my-email/\">Q: How do I encrypt/hide/protect my email?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2013/09/q-where-do-the-weird-rules-for-rational-numbers-come-from-dealing-with-fractions/\">Q: Where do the weird rules for rational numbers come from? (Dealing with fractions)</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2013/08/dragoncon-2013/\">Dragon*Con 2013</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2013/08/q-why-doesnt-the-air-sit-still-while-the-earth-turns-under-it/\">Q: Why doesn’t the air “sit still” while the Earth turns under it?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2013/08/q-can-resonance-destroy-anything-is-the-brown-note-possible/\">Q: Can resonance be used to destroy anything? Is the “brown note” possible?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2013/08/q-are-there-examples-of-quantum-mechanics-that-can-be-seen-in-every-day-life-or-do-they-only-show-up-in-the-lab/\">Q: Are there examples of quantum mechanics that can be seen in every-day life, or do they only show up in the lab?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2013/08/q-why-does-it-take-thousands-of-years-for-light-to-escape-the-sun/\">Q: Why does it take thousands of years for light to escape the Sun?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2013/07/q-what-does-it-mean-for-light-to-be-stopped-or-stored/\">Q: What does it mean for light to be stopped or stored?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2013/07/q-what-are-quasi-particles-why-do-phonons-and-photons-have-such-similar-names/\">Q: What are quasi-particles? Why do phonons and photons have such similar names?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2013/07/the-nuptial-effect/\">The nuptial effect</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2013/07/q-how-do-you-prove-that-the-spacetime-interval-is-always-the-same/\">Q: How do you prove that the spacetime interval is always the same?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2013/06/q-are-numbers-real/\">Q: Are numbers real?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2013/06/q-if-time-were-reversed-would-things-fall-up/\">Q: If time were reversed would things fall up?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2013/06/q-why-dont-cheats-ever-work-on-the-uncertainty-principle-whats-uncertain-in-the-uncertainty-principle/\">Q: Why don’t “cheats” ever work on the uncertainty principle? What’s uncertain in the uncertainty principle?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2013/06/q-do-the-past-and-future-exist-if-they-do-does-that-mean-that-the-future-is-determined-and-what-does-that-mean-for-quantum-randomness/\">Q: Do the past and future exist? If they do, is the future determined and what does that mean for quantum randomness?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2013/05/basic-math-with-infinity/\">Basic math with infinity</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2013/05/q-what-is-the-planck-length-what-is-its-relevance/\">Q: What is the Planck length? What is its relevance?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2013/05/q-what-causes-friction-and-some-other-friction-questions/\">Q: What causes friction? (and some other friction questions)</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2013/05/q-is-fire-a-plasma-what-is-plasma/\">Q: Is fire a plasma? What is plasma?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2013/05/q-why-are-determinants-defined-the-weird-way-they-are/\">Q: Why are determinants defined the weird way they are?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2013/04/q-are-white-holes-real/\">Q: Are white holes real?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2013/04/q-if-a-photon-doesnt-experience-time-then-how-can-it-travel/\">Q: If a photon doesn’t experience time, then how can it travel?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2013/04/q-what-is-energy-what-is-pure-energy-like/\">Q: What is energy? What is “pure energy” like?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2013/04/q-why-is-schrodingers-cat-both-dead-and-alive-is-this-not-a-paradox/\">Q: Why is Schrodinger’s cat both dead and alive? Is this not a paradox?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2013/04/q-what-kind-of-telescope-would-be-needed-to-see-a-person-on-a-planet-in-a-different-solar-system/\">Q: What kind of telescope would be needed to see a person on a planet in a different solar system?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2013/04/q-is-murphys-law-real/\">Q: Is Murphy’s law real?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2013/03/q-why-doesnt-life-and-evolution-violate-the-second-law-of-thermodynamics-dont-living-things-reverse-entropy/\">Q: Why doesn’t life and evolution violate the second law of thermodynamics? Don’t living things reverse entropy?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2013/03/q-does-quantum-mechanics-really-say-that-theres-some-probability-that-objects-will-suddenly-start-moving-or-that-things-can-suddenly-shift-to-the-other-side-of-the-universe/\">Q: Does quantum mechanics really say that there’s some probability that objects will suddenly start moving or that things can suddenly “shift” to the other side of the universe?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2013/03/q-using-modern-technology-are-we-any-closer-to-turning-lead-into-gold-than-alchemists-were-hundreds-of-years-ago/\">Q: Using modern technology, are we any closer to turning lead into gold than alchemists were hundreds of years ago?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2013/03/q-how-do-you-turnchange-directions-in-space/\">Q: How do you turn/change directions in space?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2013/02/q-if-a-man-hangs-on-an-un-insulated-wire-using-both-his-hands-what-will-happen-and-why/\">Q: If a man hangs on an un-insulated wire using both his hands what will happen and why?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2013/02/learning-intro-number-theory/\">Learning intro number theory</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2013/02/q-is-the-alcubierre-warp-drive-really-possible-how-close-are-we-to-actually-building-one-and-going-faster-than-light/\">Q: Is the Alcubierre warp drive really possible? How close are we to actually building one and going faster than light?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2013/02/q-is-darkness-a-wave-the-way-light-is-a-wave-what-is-the-speed-of-dark/\">Q: Is darkness a wave the way light is a wave? What is the speed of dark?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2013/02/q-is-it-a-coincidence-that-a-circles-circumference-is-the-derivative-of-its-area-as-well-as-the-volume-of-a-sphere-being-the-antiderivative-of-its-surface-area-what-is-the-explanation-for-this/\">Q: Is it a coincidence that a circles circumference is the derivative of its area, as well as the volume of a sphere being the antiderivative of its surface area? What is the explanation for this?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2013/02/q-if-hot-air-rises-why-is-it-generally-colder-at-higher-elevations/\">Q: If hot air rises, why is it generally colder at higher elevations?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2013/01/q-what-is-quantum-teleportation-why-cant-we-use-it-to-communicate-faster-than-light/\">Q: What is quantum teleportation? Why can’t we use it to communicate faster than light?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2013/01/q-since-all-particles-display-wave-like-characteristics-does-that-imply-that-one-could-use-destructive-wave-interference-to-destroy-or-at-least-drastically-change-a-particle/\">Q: Since all particles display wave-like characteristics, does that imply that one could use destructive wave interference to destroy or at least drastically change a particle?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2013/01/q-how-does-the-oberth-effect-work-and-where-does-the-extra-energy-come-from-why-is-it-better-for-a-rocket-to-fire-at-the-lowest-point-in-its-orbit/\">Q: How does the Oberth Effect work, and where does the extra energy come from? Why is it better for a rocket to fire at the lowest point in its orbit?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2013/01/qhow-do-lenses-that-concentrate-light-not-violate-the-second-law-of-thermodynamics-if-you-use-a-magnifying-glass-to-burn-ants-arent-you-making-a-point-hotter-than-the-ambient-temperature-without/\">Q: How do lenses that concentrate light not violate the second law of thermodynamics? If you use a magnifying glass to burn ants, aren’t you making a point hotter than the ambient temperature without losing energy?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2013/01/q-what-makes-natural-logarithms-natural-whats-so-special-about-the-number-e/\">Q: What makes natural logarithms natural? What’s so special about the number e?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2013/01/q-if-the-world-were-to-stop-spinning-would-the-people-and-everything-on-it-be-considered-lighter-or-heavier-would-any-change-take-place-and-does-centrifugal-force-have-an-effect-on-gravity/\">Q: If the world were to stop spinning, would the people and everything on it be considered ‘lighter’ or ‘heavier’? Would any change take place? And does centrifugal force have an effect on gravity?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2012/12/q-two-entangled-particles-approach-a-black-hole-one-falls-in-and-the-other-escapes-do-they-remain-entangled-what-about-after-the-black-hole-evaporates/\">Q: Two entangled particles approach a black hole, one falls in and the other escapes. Do they remain entangled? What about after the black hole evaporates?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2012/12/q-if-there-are-10-dimensions-then-why-dont-we-notice-them/\">Q: If there are 10 dimensions, then why don’t we notice them?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2012/12/q-will-the-world-end-tomorrow/\">Q: Will the world end tomorrow?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2012/12/q-in-an-infinite-universe-does-everything-thats-possible-have-to-happen-somewhere/\">Q: In an infinite universe, does everything that’s possible have to happen somewhere?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2012/12/q-which-of-earths-life-forms-could-survive-on-each-planet-of-the-solar-system/\">Q: Which of Earth’s life forms could survive on each planet of the Solar System?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2012/12/q-what-are-fractional-dimensions-can-space-have-a-fractional-dimension/\">Q: What are fractional dimensions? Can space have a fractional dimension?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2012/12/q-are-shadows-2-dimensional-are-there-any-real-examples-of-2-dimensional-things-in-the-universe/\">Q: Are shadows 2-dimensional? Are there any real examples of 2-dimensional things in the universe?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2012/11/q-is-it-possible-to-experience-different-rates-of-time-if-time-were-to-speed-up-slow-down-or-stop-what-would-you-experience/\">Q: Is it possible to experience different rates of time? If time were to speed up, slow down, or stop, what would you experience?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2012/11/q-how-many-theorems-are-there/\">Q: How many theorems are there?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2012/11/q-how-much-of-a-direct-effect-do-planets-and-stars-have-on-us-is-astrology-reasonable-or-plausable/\">Q: How much of a direct effect do planets and stars have on us? Is astrology reasonable or plausable?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2012/11/q-why-are-scientists-looking-for-life-in-space-by-looking-for-water-how-can-they-be-sure-that-all-life-uses-water/\">Q: Why are scientists looking for life in space by looking for water? How can they be sure that all life uses water?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2012/11/q-if-energy-is-neither-created-nor-destroyed-what-happens-to-the-energy-within-our-bodies-and-brains-when-we-die/\">Q: If energy is neither created nor destroyed, what happens to the energy within our bodies and brains when we die?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2012/11/q-could-kurt-vonegets-ice-9-catastrophy-happen/\">Q: Could Kurt Vonnegut’s “Ice-9 catastrophe” happen?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2012/10/q-how-accurately-do-we-need-to-know-%cf%80-is-there-a-reason-to-know-it-out-to-billions-of-digits/\">Q: How accurately do we need to know π? Is there a reason to know it out to billions of digits?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2012/10/my-bad-if-fusion-in-the-sun-suddenly-stopped-what-would-happen/\">My bad: If fusion in the Sun suddenly stopped, what would happen?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2012/10/q-if-fusion-in-the-sun-suddenly-stopped-what-would-happen/\">Q: If fusion in the Sun suddenly stopped, what would happen?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2012/10/q-does-opening-a-refrigerator-cool-down-the-room/\">Q: Does opening a refrigerator cool down the room?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2012/10/q-what-is-the-probability-of-an-outcome-after-its-already-happened/\">Q: What is the probability of an outcome after it’s already happened?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2012/10/q-how-do-you-answer-a-question-scientifically/\">Q: How do you answer a question scientifically?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2012/09/q-why-are-the-days-still-longer-than-nights-until-a-few-days-after-the-fall-equinox/\">Q: Why are the days still longer than nights, until a few days after the fall equinox?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2012/09/q-what-is-a-fourier-transform-what-is-it-used-for/\">Q: What is a Fourier transform? What is it used for?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2012/09/q-what-are-singularities-do-they-exist-in-nature/\">Q: What are singularities? Do they exist in nature?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2012/09/q-is-it-likely-that-there-are-atoms-in-my-body-that-have-traveled-from-the-other-side-of-the-planet-solar-system-galaxy-or-universe/\">Q: Is it likely that there are atoms in my body that have traveled from the other side of the planet, solar system, galaxy, or universe?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2012/09/q-is-there-a-number-set-that-is-above-complex-numbers/\">Q: Is there a number set that is “above” complex numbers?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2012/09/q-is-the-brain-and-consciousness-quantum-mechanical-in-nature/\">Q: Are the brain and consciousness quantum mechanical in nature?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2012/08/q-how-are-voltage-and-current-related-to-battery-life-what-is-the-difference-between-batteries-with-the-same-voltage-but-different-shapes-or-sizes-what-about-capacitors/\">Q: How are voltage and current related to battery life? What is the difference between batteries with the same voltage, but different shapes or sizes? What about capacitors?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2012/08/q-what-are-virtual-particles/\">Q: What are virtual particles?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2012/08/q-would-it-be-possible-to-create-an-antimatter-weapon-by-harvesting-enough-antimatter-containing-it-in-an-electro-magnetic-field-and-placing-that-in-a-projectile/\">Q: Would it be possible to create an antimatter weapon by “harvesting” enough antimatter, containing it in an electro-magnetic field and placing that in a projectile?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2012/08/q-if-earth-was-flat-would-there-be-the-horizon-if-so-what-would-it-look-like-if-the-earth-was-flat-and-had-infinite-area-would-that-change-the-answer/\">Q: If Earth was flat, would there be a horizon? If so, what would it look like? If the Earth was flat and had infinite area, would that change the answer?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2012/08/q-is-there-an-experiment-which-could-provide-conclusive-evidence-for-either-the-many-worlds-or-copenhagen-interpretations-of-quantum-physics/\">Q: Is there an experiment which could provide conclusive evidence for either the Many Worlds or Copenhagen interpretations of quantum physics?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2012/08/q-if-you-could-drill-a-tunnel-through-the-whole-planet-and-then-jumped-down-this-tunnel-how-would-you-fall/\">Q: If you could drill a tunnel through the whole planet and then jumped down this tunnel, how would you fall?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2012/07/q-how-many-people-riding-bicycle-generators-would-be-needed-in-an-8-hour-working-day-to-equal-or-surpass-the-energy-generated-by-an-average-nuclear-power-plant/\">Q: How many people riding bicycle generators would be needed, in an 8-hour working day, to equal or surpass the energy generated by an average nuclear power plant?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2012/07/q-why-is-hitting-water-from-a-great-height-like-hitting-concrete/\">Q: Why is hitting water from a great height like hitting concrete?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2012/07/q-how-does-instantaneous-communication-violate-causality/\">Q: How does instantaneous communication violate causality?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2012/07/q-what-is-the-false-vacuum-and-are-we-living-in-it/\">Q: What is the “False Vacuum” and are we living in it?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2012/07/q-how-would-the-universe-be-different-if-%cf%80-3/\">Q: How would the universe be different if π = 3?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2012/07/q-is-it-possible-for-an-artificial-black-hole-to-be-created-or-something-that-has-the-same-effects-if-so-how-small-could-it-be-made/\">Q: Is it possible for an artificial black hole to be created, or something that has the same effects? If so, how small could it be made?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2012/06/q-do-colors-exist/\">Q: Do colors exist?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2012/06/q-how-can-we-see-the-early-universe-and-the-big-bang-shouldnt-the-light-have-already-passed-us/\">Q: How can we see the early universe and the Big Bang? Shouldn’t the light have already passed us?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2012/06/q-are-beautiful-elegant-or-simple-equations-more-likely-to-be-true/\">Q: Are beautiful, elegant or simple equations more likely to be true?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2012/06/q-if-quantum-mechanics-says-everything-is-random-then-how-can-it-also-be-the-most-accurate-theory-ever/\">Q: If quantum mechanics says everything is random, then how can it also be the most accurate theory ever?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2012/06/q-why-do-wet-stones-look-darker-more-colorful-and-polished/\">Q: Why do wet stones look darker, more colorful, and polished?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2012/06/q-what-would-the-universe-be-like-with-additional-temporal-dimensions/\">Q: What would the universe be like with additional temporal dimensions?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2012/05/the-2012-venus-transit/\">The 2012 Venus transit</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2012/05/q-why-havent-we-discovered-earth-like-planets-yet/\">Q: Why haven’t we discovered Earth-like planets yet?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2012/05/q-is-quantum-randomness-ever-large-enough-to-be-noticed/\">Q: Is quantum randomness ever large enough to be noticed?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2012/05/q-how-is-radiometric-dating-reliable-why-is-it-that-one-random-thing-is-unpredictable-but-many-random-things-together-are-predictable/\">Q: How is radiometric dating reliable? Why is it that one random thing is unpredictable, but many random things together are predictable?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2012/05/q-is-the-final-step-in-evolution-an-ascension-into-an-energy-based-lifeform/\">Q: Is the final step in evolution an ascension into an energy-based lifeform?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2012/05/q-what-would-life-be-like-in-higher-dimensions/\">Q: What would life be like in higher dimensions?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2012/04/q-how-much-does-fire-weigh/\">Q: How much does fire weigh?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2012/04/q-since-the-real-world-does-all-kinds-of-crazy-calculations-in-no-time-can-we-use-physics-to-calculate-stuff/\">Q: Since the real-world does all kinds of crazy calculations in no time, can we use physics to calculate stuff?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2012/04/q-is-there-some-way-to-actually-play-quidditch/\">Q: Is there some way to actually play quidditch?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2012/04/q-can-you-poke-something-thats-far-away-with-a-stick-faster-than-it-would-take-like-to-get-there/\">Q: Can you poke something that’s far away with a stick faster than it would take light to get there?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2012/04/q-does-how-you-deal-cards-affect-how-random-they-are/\">Q: Does how you deal cards affect how random they are?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2012/04/q-will-cern-awaken-the-elder-gods/\">Q: Will CERN awaken the Elder Gods?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2012/03/q-the-information-contained-in-a-big-system-isnt-the-same-as-the-amount-of-information-in-its-parts-why/\">Q: The information contained in a big system isn’t the same as the amount of information in its parts. Why?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2012/03/q-is-the-quantum-zeno-effect-a-real-thing/\">Q: Is the quantum zeno effect a real thing?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2012/03/%cf%80-day/\">π day!</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2012/03/q-is-there-an-intuitive-proof-for-the-chain-rule/\">Q: Is there an intuitive proof for the chain rule?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2012/03/q-how-do-you-write-algorithms-to-enycrypt-things/\">Q: How do you write algorithms to enycrypt things?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2012/03/q-satellites-experience-less-time-because-theyre-moving-fast-but-more-time-because-theyre-so-high-is-there-an-orbit-where-the-effects-cancel-out-is-that-useful/\">Q: Satellites experience less time because they’re moving fast, but more time because they’re so high. Is there an orbit where the effects cancel out? Is that useful?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2012/02/q-is-it-possible-to-objectively-quantify-the-amount-of-information-a-sentence-contains/\">Q: Is it possible to objectively quantify the amount of information a sentence contains?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2012/02/q-what-would-happen-if-a-black-hole-passed-through-our-solar-system-2/\">Q: What would happen if a black hole passed through our solar system?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2012/02/q-if-you-are-talking-to-a-distant-alien-how-would-you-tell-them-which-way-is-left-and-which-way-is-right/\">Q: If you are talking to a distant alien, how would you tell them which way is left and which way is right?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2012/02/q-would-it-be-possible-in-the-distant-future-to-directly-convert-matter-into-energy/\">Q: Would it be possible in the distant future to directly convert matter into energy?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2012/02/q-whats-the-difference-between-anti-matter-and-negative-matter/\">Q: What’s the difference between anti-matter and negative-matter?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2012/01/q-why-does-gravity-make-some-things-orbit-and-some-things-fall/\">Q: Why does gravity make some things orbit and some things fall?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2012/01/q-do-you-need-faith-to-believe-in-science/\">Q: Do you need faith to believe in science?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2012/01/q-what-keeps-spinning-tops-upright/\">Q: What keeps spinning tops upright?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2012/01/q-do-time-and-distance-exist-in-a-completely-empty-universe/\">Q: Do time and distance exist in a completely empty universe?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2012/01/q-why-is-it-that-photographs-of-wire-mesh-things-like-window-screens-and-grates-have-waves-in-them/\">Q: Why is it that photographs of wire mesh things, like window screens and grates, have waves in them?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2012/01/q-how-does-quantum-physics-affect-electron-configurations-and-spectral-lines/\">Q: How does quantum physics affect electron configurations and spectral lines?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2012/01/q-is-it-possible-for-an-atomic-orbital-to-exist-beyond-the-s-p-f-and-d-orbitals-they-taught-about-in-school-like-could-there-be-a-other-letter-orbital-beyond-that/\">Q: Is it possible for an atomic orbital to exist beyond the s, p, f and d orbitals they taught about in school? Like could there be a (other letter) orbital beyond that?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2011/12/q-will-the-world-end-in-2012/\">Q: Will the world end in 2012?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2011/12/q-how-do-you-find-the-height-of-a-rocket-using-trigonometry/\">Q: How do you find the height of a rocket using trigonometry?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2011/12/q-what-are-chaos-and-chaos-theory-how-can-you-talk-about-chaos/\">Q: What are chaos and chaos theory? How can you talk about chaos?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2011/12/q-what-is-the-reimann-hypothesis-why-is-it-so-important/\">Q: What is the Riemann Hypothesis? Why is it so important?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2011/12/twitter/\">Twitter</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2011/12/q-why-does-the-entropy-of-universe-always-increase-and-what-is-heat-death-of-the-universe/\">Q: Why does the entropy of the universe always increase, and what is the heat death of the universe?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2011/12/q-could-god-have-existed-forever-is-it-actually-feasibly-possibly-for-some-being-to-have-just-existed-infinitely/\">Q: Could God have existed forever? Is it actually feasibly possibly for some ‘being’ to have just existed, infinitely?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2011/12/q-how-can-wormholes-be-used-for-time-travel/\">Q: How can wormholes be used for time travel?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2011/12/q-if-gravity-suddenly-increased-would-airplanes-fall-out-of-the-sky-or-would-it-compress-the-air-in-such-a-way-that-airplanes-could-keep-flying/\">Q: If gravity suddenly increased would airplanes fall out of the sky, or would it compress the air in such a way that airplanes could keep flying?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2011/11/entanglement-omnibus/\">Entanglement omnibus!</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2011/11/q-how-are-imaginary-exponents-defined/\">Q: How are imaginary exponents defined?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2011/11/q-why-do-a-nuclear-weapons-cause-emps-electromagnetic-pulses/\">Q: Why do nuclear weapons cause EMPs (electromagnetic pulses)?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2011/11/q-how-does-the-expansion-of-space-affect-the-things-that-inhabit-that-space-are-atoms-people-stars-and-everything-else-getting-bigger-too/\">Q: How does the expansion of space affect the things that inhabit that space? Are atoms, people, stars, and everything else getting bigger too?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2011/11/q-what-would-earth-be-like-if-the-it-didnt-turn/\">Q: What would Earth be like if it didn’t turn?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2011/11/q-according-to-the-many-worlds-interpretation-every-event-creates-new-universes-where-does-the-energy-and-matter-for-the-new-universes-come-from/\">Q: According to the Many Worlds Interpretation, every event creates new universes. Where does the energy and matter for the new universes come from?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2011/11/q-can-wind-chill-make-things-feel-colder-than-absolute-zero/\">Q: Can wind chill make things “feel” colder than absolute zero?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2011/10/q-what-is-spin-in-particle-physics-why-is-it-different-from-just-ordinary-rotation/\">Q: What is “spin” in particle physics? Why is it different from just ordinary rotation?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2011/10/q-what-is-bayes-rule-and-how-do-i-use-it-in-daily-life/\">Q: What is Bayes’ rule and how do I use it to improve my life?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2011/10/q-are-there-universal-truths/\">Q: Are there universal truths?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2011/10/q-whats-the-difference-between-black-holes-and-worm-holes-could-black-holes-take-you-to-other-universes/\">Q: What’s the difference between black holes and worm holes? Could black holes take you to other universes?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2011/10/q-is-there-an-equation-that-determines-whether-a-question-gets-answered-on-ask-a-mathematicianphysicist/\">Q: Is there an equation that determines whether a question gets answered on ask a mathematician/physicist?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2011/10/q-if-you-could-hear-through-space-as-though-it-were-filled-with-air-what-would-you-hear/\">Q: If you could hear through space as though it were filled with air, what would you hear?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2011/10/q-what-is-the-three-body-problem/\">Q: What is the three body problem?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2011/09/q-how-are-fractals-made/\">Q: How are fractals made?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2011/09/q-cerns-faster-than-light-neutrino-thing-wtf/\">Q: CERN’s faster than light neutrino thing: WTF?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2011/09/q-whats-the-point-of-purely-theoretical-research/\">Q: What’s the point of purely theoretical research?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2011/09/q-why-does-lightning-flash-but-thunder-rolls/\">Q: Why does lightning flash, but thunder rolls?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2011/09/q-hyperspace-warp-drives-and-faster-than-light-travel-why-not/\">Q: Hyperspace, warp drives, and faster than light travel: why not?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2011/08/burning-man-2011/\">Burning Man 2011</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2011/08/q-if-light-slows-down-in-different-materials-then-how-can-it-be-a-universal-speed/\">Q: If light slows down in different materials, then how can it be a universal speed?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2011/08/q-what-is-mass/\">Q: What is mass?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2011/08/q-how-much-of-physics-can-be-deduced-from-previous-equationsaxioms/\">Q: How much of physics can be deduced from previous equations/axioms?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2011/08/q-if-god-were-all-seeing-and-all-knowing-the-double-slit-experiment-wouldnt-work-would-it-wouldnt-gods-observation-of-the-location-of-the-photon-collapse-its-probability-wave-function/\">Q: If God were all-seeing and all-knowing, the double-slit experiment wouldn’t work, would it? Wouldn’t God’s observation of the location of the photon collapse its probability wave function?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2011/08/q-how-do-those-executive-ball-clicker-things-work/\">Q: How do those “executive ball clicker” things work?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2011/08/q-why-is-cold-fusion-so-difficult/\">Q: Why is cold fusion so difficult?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2011/08/q-why-does-light-choose-the-path-of-least-time/\">Q: Why does light choose the “path of least time”?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2011/07/q-does-light-experience-time/\">Q: Does light experience time?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2011/07/q-would-it-be-possible-for-humans-to-terraform-mars/\">Q: Would it be possible for humans to terraform mars?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2011/07/q-can-light-be-used-to-transfer-energy-instead-of-power-lines/\">Q: Can light be used to transfer energy instead of power lines?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2011/07/q-neutrinos/\">Particle physics, neutrinos, and chirality too!</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2011/07/q-what-are-integral-transforms-and-how-do-they-work/\">Q: What are integral transforms and how do they work?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2011/07/q-how-does-reflection-work/\">Q: How does reflection work?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2011/06/q-what-does-a-measurement-in-quantum-mechanics-do/\">Q: What does a measurement in quantum mechanics do?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2011/06/q-if-you-stood-in-the-beam-of-the-lhc-what-would-happen/\">Q: If you stood in the beam of a particle accelerator, what would happen?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2011/06/q-what-exactly-is-the-vacuum-catastrophe-and-what-effects-does-this-have-upon-our-understanding-of-the-universe/\">Q: What exactly is the vacuum catastrophe and what effects does this have upon our understanding of the universe?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2011/06/q-what-is-a-measurement-in-quantum-mechanics/\">Q: What is a “measurement” in quantum mechanics?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2011/06/q-how-close-is-jupiter-to-being-a-star-what-would-happen-to-us-if-it-were/\">Q: How close is Jupiter to being a star? What would happen to us if it were?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2011/06/q-can-you-fix-the-10-problem-by-defining-10-as-a-new-number/\">Q: Can you fix the “1/0 problem” by defining 1/0 as a new number?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2011/05/q-how-can-we-have-any-idea-what-a-4d-hypercube-or-any-n-d-object-looks-like-what-is-the-process-of-developing-a-picture-of-a-higher-dimensional-object/\">Q: How can we have any idea what a 4D hypercube or any n-D object “looks like”? What is the process of developing a picture of a higher dimensional object?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2011/05/q-is-it-possible-to-destroy-a-black-hole/\">Q: Is it possible to destroy a black hole?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2011/05/q-why-does-the-earth-orbit-the-sun/\">Q: Why does the Earth orbit the Sun?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2011/05/q-if-you-suddenly-replaced-all-water-drops-in-the-sky-with-same-sized-spheres-of-polished-diamond-what-would-happen-to-the-rainbow/\">Q: If you suddenly replaced all the water drops in a rainbow with same-sized spheres of polished diamond, what would happen to the rainbow? How do you calculate the size of a rainbow?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2011/05/q-if-we-meet-aliens-will-they-have-the-same-math-and-physics-that-we-do/\">Q: If we meet aliens, will they have the same math and physics that we do?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2011/05/q-is-0-9999-repeating-really-equal-to-1/\">Q: Is 0.9999… repeating really equal to 1?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2011/05/q-what-would-earth-be-like-to-us-if-it-were-a-cube-instead-of-spherical-is-this-even-possible/\">Q: What would Earth be like to us if it were a cube instead of spherical? Is this even possible?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2011/05/q-how-do-velocities-add-if-im-riding-a-beam-of-light-and-i-throw-a-ball-why-doesnt-the-ball-go-faster-than-light/\">Q: How do velocities add? If I’m riding a beam of light and I throw a ball, why doesn’t the ball go faster than light?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2011/05/q-what-is-the-universe-expanding-into-whats-outside-the-universe/\">Q: What is the universe expanding into? What’s outside the universe?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2011/05/cheap-experiments-and-demonstrations-for-kids/\">Cheap experiments and demonstrations for kids.</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2011/05/q-how-do-i-estimate-the-probability-that-god-exists/\">Q: How do I estimate the probability that God exists?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2011/04/q-how-do-you-calculate-6212-or-48293-whats-the-deal-with-this-orders-of-operation-business/\">Q: How do you calculate 6/2(1+2) or 48/2(9+3)? What’s the deal with this orders of operation business?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2011/04/q-is-there-a-single-equation-that-proves-black-holes-are-real/\">Q: Is there a single equation that proves black holes are real?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2011/04/q-is-the-edge-of-a-circle-with-an-infinite-radius-curved-or-straight/\">Q: Is the edge of a circle with an infinite radius curved or straight?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2011/04/q-why-does-going-fast-increase-an-objects-mass/\">Q: As a consequence of relativity, objects becomes more massive when they’re moving fast. What is it about matter that causes that to happen?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2011/04/q-what-is-the-evidence-for-the-big-bang/\">Q: What is the evidence for the Big Bang?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2011/04/q-is-there-a-formula-to-find-the-nth-term-in-the-fibonacci-sequence/\">Q: Is there a formula to find the Nth term in the Fibonacci sequence?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2011/04/q-why-is-the-integralantiderivative-the-area-under-a-function/\">Q: Why is the integral/antiderivative the area under a function?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2011/04/thank-you/\">Thank you!</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2011/04/mathematical-proof-of-the-existence-of-god/\">Mathematical proof of the existence of God.</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2011/03/video-getting-computers-to-learn/\">Video: Getting Computers to Learn</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2011/03/q-what-is-going-on-in-a-nuclear-reactor-and-what-happens-during-a-meltdown/\">Q: What is going on in a nuclear reactor, and what happens during a meltdown?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2011/03/q-how-do-i-find-the-love-of-my-life-a-mathematicians-perspective/\">Q: How do I find the love of my life? (a Mathematician’s perspective)</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2011/03/q-are-all-atoms-radioactive/\">Q: Are all atoms radioactive?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2011/03/q-how-do-you-talk-about-the-size-of-infinity-how-can-one-infinity-be-bigger-than-another/\">Q: How do you talk about the size of infinity? How can one infinity be bigger than another?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2011/03/q-why-does-emc2/\">Q: Why does E=MC<sup>2</sup> ?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2011/02/q-what-are-the-equations-of-electromagnetism-what-all-do-they-describe-to-us/\">Q: What are the equations of electromagnetism? What all do they describe to us?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2011/02/q-what-is-the-entropy-of-nothing/\">Q: What is the entropy of nothing?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2011/02/q-how-can-quantum-computers-break-ecryption/\">Q: How can quantum computers break encryption?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2011/02/q-how-does-quantum-computing-work/\">Q: How does quantum computing work?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2011/02/q-what-causes-buoyancy/\">Q: What causes buoyancy?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2011/02/my-bad-if-atoms-are-mostly-made-up-of-empty-space-why-do-things-feel-solid/\">My bad: If atoms are mostly made up of empty space, why do things feel solid?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2011/02/q-how-many-mathematiciansphysicists-does-it-take-to-screw-in-a-light-bulb/\">Q: How many mathematicians/physicists does it take to screw in a light bulb?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2011/01/q-why-is-it-that-if-you-exclude-2-3-the-difference-between-the-squares-of-any-two-prime-numbers-is-divisible-by-12/\">Q: Why is it that (if you exclude 2 & 3) the difference between the squares of any two prime numbers is divisible by 12?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2011/01/q-why-does-relativistic-length-contraction-lorentz-contraction-happen/\">Q: Why does relativistic length contraction (Lorentz contraction) happen?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2011/01/q-why-does-lorentz-contraction-only-act-in-the-direction-of-motion/\">Q: Why does Lorentz contraction only act in the direction of motion?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2011/01/q-if-atoms-are-made-up-of-electrons-protons-and-neutrons-and-the-majority-of-the-volume-of-an-atom-is-space-why-do-things-appear-solid/\">Q: If atoms are mostly made up of empty space, why do things feel solid?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2011/01/q-can-we-build-a-planet/\">Q: Can we build a planet?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2011/01/q-%cf%80-4/\">Q: π = 4?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2011/01/q-how-does-a-scientist-turn-ideas-into-math/\">Q: How does a scientist turn ideas into math?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/12/q-is-santa-real/\">Q: Is Santa real?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/12/q-why-isnt-the-shortest-day-of-the-year-also-the-day-with-the-latest-sunset/\">Q: Why isn’t the shortest day of the year also the day with the earliest sunset?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/12/q-why-does-curved-space-time-cause-gravity-a-better-answer/\">Q: Why does “curved space-time” cause gravity?: A better answer.</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/12/q-according-to-relativity-two-moving-observers-always-see-the-other-moving-through-time-slower-isnt-that-a-contradiction-doesnt-one-have-to-be-faster/\">Q: According to relativity, two moving observers always see the other moving through time slower. Isn’t that a contradiction? Doesn’t one have to be faster?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/12/q-what-does-00-zero-raised-to-the-zeroth-power-equal-why-do-mathematicians-and-high-school-teachers-disagree/\">Q: What does 0^0 (zero raised to the zeroth power) equal? Why do mathematicians and high school teachers disagree?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/12/q-can-you-do-the-double-slit-experiment-with-a-cat-cannon/\">Q: Can you do the double slit experiment with a cat cannon?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/11/q-how-is-the-weak-nuclear-force-a-force-what-does-it-do/\">Q: How is the “Weak nuclear force” a force? What does it do?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/11/q-does-godels-incompleteness-theorem-imply-that-its-impossible-to-be-logical/\">Q: Does Gödel’s Incompleteness Theorem imply that it’s impossible to be logical?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/11/q-if-accelerating-charges-radiate-and-everything-is-full-of-charges-then-why-dont-i-radiate-every-time-i-move/\">Q: If accelerating charges radiate, and everything is full of charges, then why don’t I radiate every time I move?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/11/q-if-you-zoom-in-far-enough-what-do-particles-look-like/\">Q: If you zoom in far enough, what do particles look like?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/11/q-what-would-you-experience-if-you-were-going-the-speed-of-light/\">Q: What would you experience if you were going the speed of light?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/11/q-why-is-pi-not-a-definite-number/\">Q: Why is pi not a definite number?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/11/q-what-came-before-the-big-bang/\">Q: What came before the big bang?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/11/q-how-does-the-numerology-math-card-trick-work/\">Q: How do “Numerology Math Tricks” work? (adding digits and tricks with nines)</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/11/q-what-is-a-magnetic-field/\">Q: What is a magnetic field?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/10/q-what-is-the-probability-that-two-randomly-chosen-people-will-have-been-born-on-the-same-day/\">Q: What is the probability that two randomly chosen people will have been born on the same day?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/10/q-copenhagen-or-many-worlds/\">Q: Which is a better approach to quantum mechanics: Copenhagen or Many Worlds?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/10/q-why-is-our-vision-blurred-underwater/\">Q: Why is our vision blurred underwater?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/10/q-in-the-nec-faster-than-light-experiment-did-they-really-make-something-go-faster-than-light/\">Q: In the NEC “faster than light” experiment, did they really make something go faster than light?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/10/q-how-does-a-tesla-coil-work-2/\">Q: How does a Tesla coil work?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/10/q-what-are-feynman-diagrams-how-are-they-used-theoreticallypractically-and-are-there-alternativecompeting-diagrams-to-feynmans/\">Q: What are Feynman diagrams, how are they used (theoretically & practically), and are there alternative/competing diagrams to Feynman’s?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/10/q-does-the-2nd-law-of-thermodynamics-imply-that-everything-must-eventually-die-regardless-of-the-ultimate-fate-of-the-universe/\">Q: Does the 2nd law of thermodynamics imply that everything must eventually die, regardless of the ultimate fate of the universe?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/09/q-what-is-the-golden-ratio-how-is-it-used-in-mathematics/\">Q: What is The Golden Ratio? How is it used in Mathematics?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/09/q-why-cant-you-have-an-atom-made-entirely-out-of-neutrons/\">Q: Why can’t you have an atom made entirely out of neutrons?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/09/q-what-is-the-physical-meaning-of-symmetries-why-is-there-one-to-one-correspondence-between-laws-of-conservation-and-symmetries-why-is-it-important-that-there-is-such-correspondence/\">Q: What is the physical meaning of “symmetries”? Why is there one-to-one correspondence between laws of conservation and symmetries? Why is it important that there is such correspondence?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/09/q-why-does-energy-have-to-be-positive-and-real/\">Q: Why does energy have to be positive (and real)?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/09/q-how-does-the-twin-paradox-work/\">Q: How does the Twin Paradox work?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/09/q-how-can-photons-have-energy-and-momentum-but-no-mass/\">Q: How can photons have energy and momentum, but no mass?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/09/q-if-you-were-on-the-inside-of-the-sun-falling-in-the-matter-closer-to-the-surface-doesnt-affect-your-acceleration-but-the-matter-closer-to-the-core-does-why-is-that/\">Q: If you were on the inside of the Sun falling in, the matter closer to the surface doesn’t affect your acceleration, but the matter closer to the core does. Why is that?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/08/q-how-do-surge-protectors-work/\">Q: How do surge protectors work?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/08/relativity-and-quantum-mechanics-the-elevator-pitch/\">Relativity and Quantum Mechanics: the elevator pitch</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/08/q-why-are-orbits-elliptical-why-is-the-sun-in-one-focus-and-whats-in-the-other/\">Q: Why are orbits elliptical? Why is the Sun in one focus, and what’s in the other?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/08/q-what-would-happen-if-everyone-in-the-world-jumped-at-the-same-time/\">Q: What would happen if everyone in the world jumped at the same time?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/08/q-how-can-electrons-jump-between-places-without-covering-the-intervening-distance/\">Q: How can electrons “jump” between places without covering the intervening distance?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/08/q-why-do-we-only-see-one-rainbow-at-a-time/\">Q: Why do we only see one rainbow at a time?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/08/q-why-does-putting-spin-on-a-ball-change-how-it-moves-through-the-air/\">Q: Why does putting spin on a ball change how it moves through the air?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/08/quantum-mech-choices-and-time-travel-too/\">Quantum mech, choices, and time travel too!</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/08/q-why-is-the-speed-of-light-finite/\">Q: Why is the speed of light finite?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/08/q-why-is-the-speed-of-light-the-fastest-speed-why-is-light-so-special/\">Q: Why is the speed of light the fastest speed? Why is light so special?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/08/q-will-we-ever-overcome-the-heisenberg-uncertainty-principle/\">Q: Will we ever overcome the Heisenberg uncertainty principle?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/07/q-if-gravity-is-just-curved-space-then-why-are-physicists-looking-for-gravity-particles/\">Q: If gravity is the reaction matter has on space, in that it warps space, why do physicist’s look for a gravity particle? Wouldn’t gravity be just a bi-product of what matter does to space?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/07/q-is-it-possible-to-beat-the-laws-of-physics/\">Q: Is it possible to beat the laws of physics?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/07/q-whats-the-chance-of-getting-a-run-of-k-successes-in-n-bernoulli-trials-why-use-approximations-when-the-exact-answer-is-known/\">Q: What’s the chance of getting a run of K or more successes (heads) in a row in N Bernoulli trials (coin flips)? Why use approximations when the exact answer is known?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/07/q-arent-physicists-just-doing-experiments-to-confirm-their-theories-couldnt-they-prove-anything-they-want/\">Q: Aren’t physicists just doing experiments to confirm their theories? Couldn’t they “prove” anything they want?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/07/q-whats-up-with-that-bowling-ball-creates-a-dip-in-a-sheet-analogy-of-spacetime-isnt-it-gravity-that-makes-the-dip-in-the-first-place/\">Q: What’s up with that “bowling ball creates a dip in a sheet” analogy of spacetime? Isn’t it gravity that makes the dip in the first place?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/07/q-if-we-find-a-theory-of-everything-will-we-be-done/\">Q: If we find a “Theory of Everything” will we be done?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/07/q-is-it-possible-to-say-if-the-earth-is-moving-or-sitting-still-without-going-into-space/\">Q: Is it possible to say if the Earth is moving or sitting still without going into space?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/06/q-will-there-always-be-things-that-will-not-or-cannot-be-known/\">Q: Will there always be things that will not or cannot be known?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/06/q-if-you-could-see-through-the-earth-how-big-would-australia-look-from-the-other-side/\">Q: If you could see through the Earth, how big would Australia look from the other side?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/06/q-how-it-is-that-bells-theorem-proves-that-there-are-no-hidden-variables-in-quantum-mechanics-how-do-we-know-that-god-really-does-play-dice-with-the-universe/\">Q: How is it that Bell’s Theorem proves that there are no “hidden variables” in quantum mechanics? How do we know that God really does play dice with the universe?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/06/q-does-an-electric-field-have-mass-does-it-take-energy-to-move-an-electric-field/\">Q: Does an electric field have mass? Does it take energy to move an electric field?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/06/q-what-would-the-consequenses-for-our-universe-be-if-the-speed-of-light-was-only-about-one-hundred-miles-per-hour/\">Q: What would the consequenses for our universe be if the speed of light was only about one hundred miles per hour?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/06/q-do-virtual-particles-violate-the-laws-that-energy-can-be-created-or-destroyed-have-virtual-particles-ever-been-observed-in-any-other-instance-can-energy-ever-be-destroyed-or-created/\">Q: Do virtual particles violate the laws that energy can be created or destroyed? Have virtual particles ever been observed? In any other instance can energy ever be destroyed or created?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/06/video-how-do-we-know-that-112-a-journey-into-the-foundations-of-math/\">Video: How do we know that 1+1=2? A journey into the foundations of math.</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/05/q-would-it-be-possible-to-generate-power-from-artificial-lightning/\">Q: Would it be possible to generate power from artificial lightning?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/05/q-what-is-the-optimum-spectrum-to-visualize-things-with-theoretically-which-type-of-vision-would-be-the-best-to-see-things-with/\">Q: What is the optimum spectrum to visualize things with? Theoretically, which type of vision would be the best to see things with?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/05/q-what-causes-iron-nickel-and-cobalt-to-be-attracted-to-magnets-but-not-other-metals/\">Q: What causes iron, nickel, and cobalt to be attracted to magnets, but not other metals?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/05/q-is-it-possible-to-fill-a-black-hole-if-you-were-to-continuously-throw-galaxies-worth-of-matter-into-a-black-hole-would-it-ever-fill-up-and-what-would-theoretically-happen-if-all-the-matter-in-th/\">Q: Is it possible to fill a black hole? If you were to continuously throw galaxies worth of matter into a black hole, would it ever fill up? And what would theoretically happen if all the matter in the universe was thrown into a single black hole?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/05/q-can-math-and-science-make-you-better-at-gambling/\">Q: Can math and science make you better at gambling?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/05/q-spectroscopy/\">Q: Spectroscopy?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/05/q-is-it-possible-to-breach-the-center-of-a-nebula/\">Q: Is it possible to breach the center of a nebula?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/05/q-how-does-a-gravitational-sling-shot-actually-speed-things-up/\">Q: How does a gravitational sling shot actually speed things up?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/05/q-if-energy-is-quantized-what-is-the-least-amount-of-energy-possible-and-how-did-they-measure-it/\">Q: If energy is quantized, what is the least amount of energy possible? And how did they measure it?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/05/q-how-did-lord-kelvin-come-up-with-the-absolute-temperature-i-mean-how-could-he-say-surely-that-it-was-273-15-c-below-zero/\">Q: How did Lord Kelvin come up with the absolute temperature? I mean, how could he say surely that it was 273.15 C below zero?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/05/q-what-do-complex-numbers-represent/\">Q: What do complex numbers really mean or represent?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/04/q-is-it-odd-that-the-universes-constants-are-all-so-perfectly-conducive-to-life/\">Q: Is it odd that the universe’s constants are all so perfectly conducive to life?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/04/q-howwhen-will-the-world-end/\">Q: How/when will the world end?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/04/q-what-would-happen-if-an-unstoppable-force-met-with-an-unmovable-impenetrable-object/\">Q: What would happen if an unstoppable force met with an unmovable, impenetrable object?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/04/my-bad-have-aliens-ever-visited-earth/\">My bad: Have aliens ever visited Earth?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/04/q-how-do-bell-pairs-entangled-particles-behave-experimentally/\">Q: How do Bell pairs (entangled particles) behave experimentally?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/04/video-what-your-spiritual-guru-never-told-you-about-quantum-mechanics/\">Video: What your Spiritual Guru Never Told you about Quantum Mechanics</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/04/q-how-big-does-an-object-have-to-be-to-gravitationally-attract-a-human-or-have-a-molten-core/\">Q: How big does an object have to be to gravitationally attract a Human or have a molten core?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/04/video-the-scientific-investigation-of-aliens-evidence-examined/\">Video: The Scientific Investigation of Aliens – Evidence Examined</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/04/q-how-do-i-count-the-number-of-ways-of-pickingchoosingtaking-k-items-from-a-listgroupset-of-n-items-when-order-doesdoesnt-matter/\">Q: How do I count the number of ways of picking/choosing/taking k items from a list/group/set of n items when order does/doesn’t matter?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/04/q-who-would-win-in-a-fight-godel-or-feynman/\">Q: Who would win in a fight: Gödel or Feynman?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/03/q-how-hard-would-it-be-to-make-a-list-of-pruducts-of-primes-that-could-beat-public-key-encryption/\">Q: How hard would it be to make a list of products of primes that could beat public key encryption?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/03/q-what-are-complex-numbers-used-for/\">Q: What are complex numbers used for?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/03/q-can-one-truly-create-something-from-nothing-if-matter-formed-from-energy-as-in-the-big-bang-expansion-where-did-the-energy-come-from/\">Q: Can one truly create something from nothing? If matter formed from energy (as in the Big Bang expansion), where did the energy come from?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/03/q-why-does-wind-make-you-colder-but-re-entry-makes-you-hotter/\">Q: Why does wind make you colder, but re-entry makes you hotter?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/03/q-are-explosions-more-or-less-powerful-in-space/\">Q: Are explosions more or less powerful in space?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/03/q-what-is-infinity-a-brief-introduction-to-infinite-sets-infinite-limits-and-infinite-numbers/\">Q: What is infinity? (A brief introduction to infinite sets, infinite limits, and infinite numbers)</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/03/q-are-there-physical-limits-in-the-universe-other-than-the-speed-of-light/\">Q: Are there physical limits in the universe other than the speed of light?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/03/q-is-it-of-any-coincidence-that-mathematics-is-able-to-describe-physical-reality-given-that-both-are-inventions-of-the-human-mind/\">Q: Is it of any coincidence that mathematics is able to describe physical reality – given that both are inventions of the human mind?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/03/q-if-you-were-to-break-down-an-average-human-body-into-its-individual-atoms-and-then-laid-the-atoms-out-in-a-single-straight-line-how-far-would-it-stretch/\">Q: If you were to break down an average human body into its individual atoms, and then laid the atoms out in a single straight line, how far would it stretch?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/03/q-whats-it-like-when-you-travel-at-the-speed-of-light/\">Q: What’s it like when you travel at the speed of light?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/03/q-is-there-a-real-life-example-where-two-negatives-make-a-positive/\">Q: Is there a real life example where two negatives make a positive?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/03/q-do-the-laws-of-physics-and-math-exist-if-so-where-are-they-discovered-or-inventedcreated-by-humans/\">Q: Do the “laws” of physics and math exist? If so, where? Are they discovered or invented/created by humans?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/02/q-do-we-have-free-will/\">Q: Do we have free will?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/02/q-how-did-mathematicians-calculate-trig-functions-and-numbers-like-pi-before-calculators/\">Q: How did mathematicians calculate trig functions and numbers like pi before calculators?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/02/q-how-can-planes-fly-upside-down/\">Q: How can planes fly upside-down?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/02/q-a-flurry-of-blackhole-questions/\">Q: A flurry of blackhole questions!</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/02/q-why-does-going-fast-or-being-lower-make-time-slow-down/\">Q: Why does going fast or being lower make time slow down?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/02/q-whats-so-special-about-the-gaussian-distribution-a-k-a-a-normal-distribution-or-bell-curve/\">Q: What’s so special about the Gaussian distribution (i.e. the normal distribution / bell curve)??</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/02/q-is-the-universe-infinitely-old/\">Q: Is the universe infinitely old?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/02/q-have-aliens-ever-visited-earth/\">Q: Have aliens ever visited Earth?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/02/q-why-is-the-sky-blue-2/\">Q: Why is the sky blue?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/02/q-is-there-a-formula-for-how-much-water-will-splash-most-importantly-how-high-and-in-what-direction-from-the-toilet-bowl-when-you-ehem-take-a-dump-in-it/\">Q: Is there a formula for how much water will splash, most importantly how high, and in what direction from the toilet bowl when you *ehem* take a dump in it ?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/02/q-what-is-the-meaning-of-the-term-random-can-thinking-affect-the-future/\">Q: What is the meaning of the term “random”? Can thinking affect the future?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/01/q-is-it-possible-to-choose-an-item-from-an-infinite-set-of-items-such-that-each-one-has-an-equal-chance-of-being-selected/\">Q: Is it possible to choose an item from an infinite set of items such that each one has an equal chance of being selected?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/01/q-do-aliens-exist/\">Q: Do aliens exist?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/01/q-is-it-true-that-all-matter-is-simply-condensed-energy/\">Q: Is it true that all matter is simply condensed energy?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/01/q-which-is-better-math-or-physics/\">Q: Which is better: Math or Physics?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/01/q-why-is-the-number-1-not-considered-a-prime-number/\">Q: Why is the number 1 not considered a prime number?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/01/q-if-the-universe-is-expanding-and-all-the-galaxies-are-moving-away-from-one-another-how-is-it-possible-for-galaxies-to-collide/\">Q: If the universe is expanding and all the galaxies are moving away from one another, how is it possible for galaxies to collide?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/01/q-what-happens-when-you-fall-into-a-blackhole/\">Q: What happens when you fall into a blackhole?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/01/q-is-the-total-complexity-of-the-universe-growing-shrinking-or-staying-the-same/\">Q: Is the total complexity of the universe growing, shrinking or staying the same?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/01/if-two-trains-move-towards-each-other-at-certain-velocities-and-a-fly-flies-between-them-at-a-certain-constant-speed-how-much-distance-will-the-fly-cover-before-they-crash/\">Q: If two trains move towards each other at certain velocities, and a fly flies between them at a certain constant speed, how much distance will the fly cover before they crash?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/01/q-why-does-oxygen-necessarily-indicate-the-presence-of-life/\">Q: Why does oxygen necessarily indicate the presence of life?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/01/q-whats-the-relationship-between-entropy-in-the-information-theory-sense-and-the-thermodynamics-sense/\">Q: What’s the relationship between entropy in the information-theory sense and the thermodynamics sense?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/01/q-would-it-be-possible-to-kill-all-of-earths-life-with-nuclear-bombs/\">Q: Would it be possible to kill ALL of Earth’s life with nuclear bombs?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/01/q-will-black-holes-ever-release-their-energy-and-will-we-be-able-to-tell-what-had-gone-into-them/\">Q: Will black holes ever release their energy and will we be able to tell what had gone into them?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/01/q-what-are-the-intersecting-chord-and-power-of-a-point-theorems/\">Q: What are the Intersecting Chord and Power of a Point Theorems?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/01/q-how-far-away-is-the-edge-of-the-universe/\">Q: How far away is the edge of the universe?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2010/01/q-why-do-superconductors-have-to-be-cold/\">Q: Why do superconductors have to be cold?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2009/12/q-why-does-the-leading-digit-1-appear-more-often-than-other-digits-in-all-sorts-of-numbers-why-does-benfords-law-work/\">Q: Why does the leading digit 1 appear more often than other digits in all sorts of numbers? What’s the deal with Benford’s Law?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2009/12/q-how-does-the-monty-hall-problem-work/\">Q: How does the Monty Hall Problem work?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2009/12/q-howwhy-are-quantum-mechanics-and-relativity-incompatible/\">Q: How/Why are Quantum Mechanics and Relativity incompatible?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2009/12/do-imaginary-numbers-actually-exist-what-the-heck-are-they-really-and-how-are-they-useful/\">Q: What the heck are imaginary numbers, how are they useful, and do they really exist?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2009/12/q-whats-that-third-hole-in-electrical-outlets-for/\">Q: What’s that third hole in electrical outlets for?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2009/12/q-do-physicists-really-believe-in-true-randomness/\">Q: Do physicists really believe in true randomness?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2009/12/q-could-a-simple-cup-of-coffee-be-heated-by-a-hand-held-device-designed-to-not-only-mix-but-heat-the-water-through-friction-and-is-that-more-efficient-than-heating-on-a-stove-and-then-mixing/\">Q: Could a simple cup of coffee be heated by a hand held device designed to not only mix but heat the water through friction, and is that more efficient than heating on a stove and then mixing?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2009/12/q-do-you-exactly-know-what-einstein-meant-by-do-not-worry-about-your-difficulties-in-mathematics-i-can-assure-you-mine-are-still-greater/\">Q: What did Einstein mean by: “Do not worry about your difficulties in Mathematics. I can assure you mine are still greater.”</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2009/12/q-why-does-saliva-boil-in-the-vacuum-of-space/\">Q: Why does saliva boil in the vacuum of space?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2009/12/q-can-things-really-be-in-two-places-at-the-same-time/\">Q: Can things really be in two places at the same time?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2009/12/q-why-do-weird-things-happen-so-much/\">Q: Why do weird things happen so much?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2009/12/q-why/\">Q: Why?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2009/11/q-will-cern-create-a-black-hole/\">Q: Will CERN create a black hole?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2009/11/q-whats-the-highest-population-growth-rate-that-the-earth-can-support/\">Q: What’s the highest population growth rate that the Earth can support?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2009/11/q-what-is-time/\">Q: What is time?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2009/11/q-what-is-dark-matter/\">Q: What is “Dark Matter”?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2009/11/q-why-do-heavy-objects-bend-space-and-what-is-it-they-are-bending/\">Q: Why do heavy objects bend space and what is it they are bending?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2009/11/q-why-does-math-work-so-well-at-modeling-the-world-around-us/\">Q: Why does math work so well at modeling the world around us?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2009/11/why-is-it-that-when-you-multiply-a-positive-number-with-a-negative-number-you-get-a-negative-number/\">Q: Why is it that when you multiply a positive number with a negative number you get a negative number?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2009/11/q-what-is-the-best-way-to-understand-relativity-theory-why-is-it-so-counter-intuitive/\">Q: What is the best way to understand relativity theory? Why is it so counter intuitive?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2009/11/q-will-we-ever-go-faster-than-light/\">Q: Will we ever go faster than light?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2009/11/q-if-you-were-on-a-space-station-would-you-be-able-to-tell-the-difference-between-centrifugal-force-and-normal-gravity/\">Q: If you were on a space station, would you be able to tell the difference between centrifugal force and normal gravity?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2009/11/q-is-teleportation-possible/\">Q: Is teleportation possible?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2009/11/q-if-black-holes-are-rips-in-the-fabric-of-our-universe-does-it-mean-they-lead-to-other-universes-if-so-then-did-time-begin-in-that-universe-at-the-inception-of-the-black-hole-could-we-be-in/\">Q: If black holes are “rips” in the fabric of our universe, does it mean they lead to other universes? If so, then did time begin in that universe at the inception of the black hole? Could we be in a black hole?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2009/11/since-pi-is-infinite-can-i-draw-any-random-number-sequence-and-be-certain-that-it-exists-somewhere-in-the-digits-of-pi/\">Q: Since pi is infinite, do its digits contain all finite sequences of numbers?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2009/11/q-what-is-the-connection-between-quantum-physics-and-consciousness/\">Q: What is the connection between quantum physics and consciousness?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2009/11/q-what-is-the-probability-that-in-a-group-of-31-people-none-of-them-have-birthdays-in-february-or-august/\">Q: What is the probability that in a group of 31 people, none of them have birthdays in February or August?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2009/10/q-what-is-the-meaning-of-life/\">Q: What is the meaning of life?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2009/10/q-why-is-e-to-the-i-pi-equal-to-1/\">Q: Why is e to the i pi equal to -1?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2009/10/q-how-does-a-refrigerator-work/\">Q: How does a refrigerator work?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2009/10/q-how-do-i-find-the-love-of-my-life/\">Q: How do I find the love of my life?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2009/10/q-why-does-curved-space-time-cause-gravity/\">Q: Why does “curved space-time” cause gravity?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2009/10/q-what-is-monotony/\">Q: What is monotony?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2009/10/q-how-do-we-know-if-science-is-right/\">Q: How do we know if science is right?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2009/10/q-how-plausible-is-it-that-the-laws-of-physics-may-actually-function-differently-in-other-parts-of-the-universe-is-there-any-chance-that-the-fundamental-mechanics-that-we-currently-believe-are-corre/\">Q: How plausible is it that the laws of physics may actually function differently in other parts of the universe?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2009/10/q-are-there-an-infinite-amount-of-prime-numbers/\">Q: Are there an infinite number of prime numbers?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t\t\t\t\t\t\t<li>\n\t\t\t\t\t<a href=\"https://www.askamathematician.com/2009/10/q-how-can-we-prove-that-22-always-equals-4/\">Q: How can we prove that 2+2 always equals 4?</a>\n\t\t\t\t\t\t\t\t\t</li>\n\t\t\t\t\t</ul>\n\t\t</li>\t\t\t</ul>\n\t\t</div><!-- #primary .widget-area -->\n\n<script type='text/javascript'>\n\tvar _gaq = _gaq || [];\n\t_gaq.push(['_setAccount', 'UA-12715927-1']);\r\n_gaq.push(['_trackPageview']);\n\n\t(function() {\n\t\tvar ga = document.createElement('script'); ga.type = 'text/javascript'; ga.async = true;\n\t\tga.src = ('https:' == document.location.protocol ? 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:td_J,subString:td_2u.tdz_b236ac382a5b4133aab15b7ed12667f7.td_f(227,12),identity:td_2u.tdz_b236ac382a5b4133aab15b7ed12667f7.td_f(208,7)},{string:td_J,subString:td_2u.tdz_b236ac382a5b4133aab15b7ed12667f7.td_f(239,5),identity:td_2u.tdz_b236ac382a5b4133aab15b7ed12667f7.td_f(239,5)},{string:td_J,subString:td_2u.tdz_b236ac382a5b4133aab15b7ed12667f7.td_f(244,10),identity:td_2u.tdz_b236ac382a5b4133aab15b7ed12667f7.td_f(244,10)},{string:td_N,subString:td_2u.tdz_b236ac382a5b4133aab15b7ed12667f7.td_f(254,6),identity:td_2u.tdz_b236ac382a5b4133aab15b7ed12667f7.td_f(260,11)},{string:td_N,subString:td_2u.tdz_b236ac382a5b4133aab15b7ed12667f7.td_f(271,4),identity:td_2u.tdz_b236ac382a5b4133aab15b7ed12667f7.td_f(271,4)}];\nthis.td_s=[{string:td_J,subString:td_2u.tdz_b236ac382a5b4133aab15b7ed12667f7.td_f(182,3),identity:td_2u.tdz_b236ac382a5b4133aab15b7ed12667f7.td_f(185,7)},{string:td_J,subString:td_2u.tdz_b236ac382a5b4133aab15b7ed12667f7.td_f(192,3),identity:td_2u.tdz_b236ac382a5b4133aab15b7ed12667f7.td_f(192,3)},{string:td_J,subString:td_2u.tdz_b236ac382a5b4133aab15b7ed12667f7.td_f(275,9),identity:td_2u.tdz_b236ac382a5b4133aab15b7ed12667f7.td_f(208,7)},{string:td_J,subString:td_2u.tdz_b236ac382a5b4133aab15b7ed12667f7.td_f(284,11),identity:td_2u.tdz_b236ac382a5b4133aab15b7ed12667f7.td_f(208,7)},{string:td_J,subString:td_2u.tdz_b236ac382a5b4133aab15b7ed12667f7.td_f(239,5),identity:td_2u.tdz_b236ac382a5b4133aab15b7ed12667f7.td_f(239,5)},{string:td_J,subString:td_2u.tdz_b236ac382a5b4133aab15b7ed12667f7.td_f(244,10),identity:td_2u.tdz_b236ac382a5b4133aab15b7ed12667f7.td_f(244,10)},{string:td_J,subString:td_2u.tdz_b236ac382a5b4133aab15b7ed12667f7.td_f(254,6),identity:td_2u.tdz_b236ac382a5b4133aab15b7ed12667f7.td_f(254,6)},{string:td_J,subString:td_2u.tdz_b236ac382a5b4133aab15b7ed12667f7.td_f(271,4),identity:td_2u.tdz_b236ac382a5b4133aab15b7ed12667f7.td_f(271,4)}];\nthis.td_R=[{identity:td_2u.tdz_b236ac382a5b4133aab15b7ed12667f7.td_f(185,7),versionMap:[{s:td_2u.tdz_b236ac382a5b4133aab15b7ed12667f7.td_f(295,10),r:/(Windows 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4.0|WinNT4.0|WinNT|Windows NT)/},{s:td_2u.tdz_b236ac382a5b4133aab15b7ed12667f7.td_f(432,10),r:/Windows CE/},{s:td_2u.tdz_b236ac382a5b4133aab15b7ed12667f7.td_f(442,12),r:/Win16/}]},{identity:td_2u.tdz_b236ac382a5b4133aab15b7ed12667f7.td_f(192,3),versionMap:[{s:td_2u.tdz_b236ac382a5b4133aab15b7ed12667f7.td_f(454,8),r:/Mac OS X/},{s:td_2u.tdz_b236ac382a5b4133aab15b7ed12667f7.td_f(462,6),r:/(MacPPC|MacIntel|Mac_PowerPC|Macintosh)/}]},{identity:td_2u.tdz_b236ac382a5b4133aab15b7ed12667f7.td_f(195,13),versionMap:[{s:td_2u.tdz_b236ac382a5b4133aab15b7ed12667f7.td_f(468,17),r:/Windows Phone 6.0/},{s:td_2u.tdz_b236ac382a5b4133aab15b7ed12667f7.td_f(485,17),r:/Windows Phone 7.0/},{s:td_2u.tdz_b236ac382a5b4133aab15b7ed12667f7.td_f(502,17),r:/Windows Phone 8.0/},{s:td_2u.tdz_b236ac382a5b4133aab15b7ed12667f7.td_f(519,17),r:/Windows Phone 8.1/},{s:td_2u.tdz_b236ac382a5b4133aab15b7ed12667f7.td_f(536,18),r:/Windows Phone 10.0/}]}];\nthis.td_1g=(typeof window.orientation!==[][[]]+\"\");this.td_1E=this.td_F(this.td_s)||td_2u.tdz_b236ac382a5b4133aab15b7ed12667f7.td_f(554,7);this.td_0G=this.td_D()||td_2u.tdz_b236ac382a5b4133aab15b7ed12667f7.td_f(554,7);\nthis.td_1r=this.td_F(this.td_K)||td_2u.tdz_b236ac382a5b4133aab15b7ed12667f7.td_f(554,7);this.td_2M=this.td_Z(this.td_1r,td_N)||this.td_Z(this.td_1r,td_T)||td_2u.tdz_b236ac382a5b4133aab15b7ed12667f7.td_f(554,7);\nthis.td_0h=this.td_F(this.td_L)||td_2u.tdz_b236ac382a5b4133aab15b7ed12667f7.td_f(554,7);this.td_2o=this.td_b(this.td_R,this.td_0h,td_N,td_T)||this.td_0h;},td_b:function(td_V,td_c,td_n,td_g){var td_W=td_n;\nvar td_T=td_g;var td_m=td_c;var td_N;for(var td_l=0;td_l<td_V.length;td_l++){if(td_V[td_l].identity===td_c){for(var td_Y=0;td_Y<td_V[td_l].versionMap.length;td_Y++){var td_Q=td_V[td_l].versionMap[td_Y];\nif(td_Q.r.test(td_W)){td_m=td_Q.s;if(/Windows/.test(td_m)){return td_m;}break;}}break;}}switch(td_m){case td_2u.tdz_b236ac382a5b4133aab15b7ed12667f7.td_f(454,8):td_m=null;var 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td_a=td_C[td_Y].prop;this.versionSearchString=td_C[td_Y].versionSearch||td_C[td_Y].identity;if(td_I){if(td_I.indexOf(td_C[td_Y].subString)!==-1){return td_C[td_Y].identity;}}else{if(td_a){return td_C[td_Y].identity;\n}}}},td_Z:function(td_f,td_a){if(!td_f){return null;}var td_v;switch(td_f){case td_2u.tdz_b236ac382a5b4133aab15b7ed12667f7.td_f(106,6):var td_T=/\\WVersion[^\\d]([\\.\\d]+)/.exec(td_a);if(td_T!==null&&td_T.length>=1){td_v=td_T[1];\n}break;case td_2u.tdz_b236ac382a5b4133aab15b7ed12667f7.td_f(3,5):if(this.versionSearchString===td_2u.tdz_b236ac382a5b4133aab15b7ed12667f7.td_f(0,3)){var td_d=/\\WOPR[^\\d]*([\\.\\d]+)/.exec(td_a);if(td_d!==null&&td_d.length>=1){td_v=td_d[1];\n}break;}default:var td_p=td_a.indexOf(this.versionSearchString);if(td_p!==-1){td_v=td_a.substring(td_p+this.versionSearchString.length+1);}break;}if(td_v){return parseFloat(td_v);}return null;},td_D:function(){try{var check=((typeof window.opr!==[][[]]+\"\")&&(typeof td_h.addons!==[][[]]+\"\"))||(typeof 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td_DX=td_si[1];if(td_N0!==td_2u.tdz_458622330bb1443ba3c26df83353125b.td_f(0,5)&&td_N0!==Number(890830).toString(31)&&(/Java/i).test(td_N0)){td_D6=Number(890830).toString(31);}if(td_D6===Number(890830).toString(31)&&td_DX){var td_vp=/[\\d][\\d\\._]*/.exec(td_DX);\nif(td_vp){td_D6=td_vp[0];}}return td_D6;}function td_rx(td_zE,td_Ly){var td_OH=null;var td_QZ=false;try{td_OH=new ActiveXObject(td_zE);td_QZ=true;}catch(td_KC){}if(typeof td_Ly!==[][[]]+\"\"){return td_QZ;\n}return td_OH;}function td_mG(){var td_u1=td_2u.tdz_458622330bb1443ba3c26df83353125b.td_f(402,29);var td_eA,td_mJ=null,td_vC=null,td_Xz=null;var td_Ls=15;var td_hS=2;for(td_eA=td_Ls;td_eA>td_hS;td_eA--){td_vC=td_rx(td_u1+\".\"+td_eA);\nif(td_vC){td_mJ=td_eA.toString();break;}}if(td_mJ===\"6\"){try{td_vC.AllowScriptAccess=td_2u.tdz_458622330bb1443ba3c26df83353125b.td_f(431,6);}catch(td_pr){td_Xz=td_2u.tdz_458622330bb1443ba3c26df83353125b.td_f(437,8);\n}}else{if(td_vC){try{td_Xz=td_vC.GetVariable(td_2u.tdz_458622330bb1443ba3c26df83353125b.td_f(445,8));var td_Kq=/[\\d][\\d\\,\\.\\s]*[rRdD]{0,1}[\\d\\,]*/.exec(td_Xz);if(td_Kq){td_Xz=td_Kq[0];}else{td_Xz=Number(890830).toString(31);\n}}catch(td_pr){td_Xz=Number(890830).toString(31);}}}if(!td_Xz&&td_mJ){td_Xz=td_mJ;}if(!td_Xz){td_Xz=td_2u.tdz_458622330bb1443ba3c26df83353125b.td_f(0,5);}return td_Xz;}function td_aZ(){var td_Jz=td_2u.tdz_458622330bb1443ba3c26df83353125b.td_f(453,12);\nvar td_QN=td_2u.tdz_458622330bb1443ba3c26df83353125b.td_f(0,5);var td_Kx=td_rx(td_Jz);if(td_Kx){td_QN=td_Kx.versionInfo;}return td_QN;}function td_SN(){var td_eb=td_2u.tdz_458622330bb1443ba3c26df83353125b.td_f(465,11);\nvar td_ax=td_2u.tdz_458622330bb1443ba3c26df83353125b.td_f(476,13);var td_tR;var td_KD=td_2u.tdz_458622330bb1443ba3c26df83353125b.td_f(0,5);var td_C3=td_rx(td_ax);if(!td_C3){var td_q0=10;var td_MD=1;for(td_tR=td_q0;\ntd_tR>td_MD;td_tR--){td_C3=td_rx(td_eb+\".\"+td_tR);if(td_C3){td_KD=td_KD.toString();break;}}if(!td_C3){td_C3=td_rx(td_eb+td_2u.tdz_458622330bb1443ba3c26df83353125b.td_f(489,2));if(td_C3){td_KD=td_2u.tdz_458622330bb1443ba3c26df83353125b.td_f(491,3);\n}}}else{td_KD=td_2u.tdz_458622330bb1443ba3c26df83353125b.td_f(494,9);}return td_KD;}function td_xn(){var td_LW=td_2u.tdz_458622330bb1443ba3c26df83353125b.td_f(503,19);var td_kk=td_2u.tdz_458622330bb1443ba3c26df83353125b.td_f(0,5);\nvar td_N6=null;try{td_N6=td_rx(td_LW);}catch(td_yg){}if(td_N6){if(td_N6.QuickTimeVersion){td_kk=td_N6.QuickTimeVersion.toString(16);td_kk=td_kk.charAt(0)+\".\"+td_kk.charAt(1)+\".\"+td_kk.charAt(2);}else{td_kk=Number(890830).toString(31);\n}}return td_kk;}function td_le(){var td_j1=td_2u.tdz_458622330bb1443ba3c26df83353125b.td_f(522,11);var td_ML=td_2u.tdz_458622330bb1443ba3c26df83353125b.td_f(0,5),td_Ib=null,td_SY;try{td_Ib=td_rx(td_j1).ShockwaveVersion(\"\");\n}catch(td_SY){}if(typeof td_Ib===td_2u.tdz_458622330bb1443ba3c26df83353125b.td_f(533,6)&&td_Ib.length>0){td_ML=td_Ib;}else{if(td_rx(td_j1+td_2u.tdz_458622330bb1443ba3c26df83353125b.td_f(539,2),1)){td_ML=\"8\";\n}else{if(td_rx(td_j1+td_2u.tdz_458622330bb1443ba3c26df83353125b.td_f(541,2),1)){td_ML=\"7\";}else{if(td_rx(td_j1+td_2u.tdz_458622330bb1443ba3c26df83353125b.td_f(489,2),1)){td_ML=\"6\";}}}}return td_ML;}function td_Ju(){var td_G2=0;\nvar td_Xk;var td_i0=td_2u.tdz_458622330bb1443ba3c26df83353125b.td_f(0,5);var td_MJ=td_2u.tdz_458622330bb1443ba3c26df83353125b.td_f(0,5);var td_RH=td_2u.tdz_458622330bb1443ba3c26df83353125b.td_f(0,5);var td_RJ=td_2u.tdz_458622330bb1443ba3c26df83353125b.td_f(0,5);\nvar td_GD=td_2u.tdz_458622330bb1443ba3c26df83353125b.td_f(0,5);var td_qT=td_2u.tdz_458622330bb1443ba3c26df83353125b.td_f(0,5);var td_U2=td_2u.tdz_458622330bb1443ba3c26df83353125b.td_f(0,5);var td_Of=td_2u.tdz_458622330bb1443ba3c26df83353125b.td_f(0,5);\nvar td_tN=td_2u.tdz_458622330bb1443ba3c26df83353125b.td_f(0,5);var td_KQ=td_2u.tdz_458622330bb1443ba3c26df83353125b.td_f(0,5);if(td_fO&&td_fO.length){td_G2=td_fO.length;}if(window.ActiveXObject||td_2u.tdz_458622330bb1443ba3c26df83353125b.td_f(543,13) in window){if(td_G2>0){td_i0=td_iK();\n}if(td_i0===td_2u.tdz_458622330bb1443ba3c26df83353125b.td_f(0,5)){td_i0=td_mG();}td_MJ=td_aZ();td_RH=td_SN();td_RJ=td_xn();td_GD=td_le();}else{if(td_G2>0){td_i0=td_iK();td_MJ=td_hh();td_RH=td_lT();td_RJ=td_Nc();\ntd_GD=td_qY();td_qT=td_Rp();td_U2=td_FN();td_Of=td_DK();td_tN=td_mh();td_KQ=td_gr();}}td_Xk=td_2u.tdz_458622330bb1443ba3c26df83353125b.td_f(556,13)+td_i0+\"!\";td_Xk+=td_2u.tdz_458622330bb1443ba3c26df83353125b.td_f(569,28)+td_MJ+\"!\";\ntd_Xk+=td_2u.tdz_458622330bb1443ba3c26df83353125b.td_f(597,21)+td_RH+\"!\";td_Xk+=td_2u.tdz_458622330bb1443ba3c26df83353125b.td_f(618,17)+td_RJ+\"!\";td_Xk+=td_2u.tdz_458622330bb1443ba3c26df83353125b.td_f(635,17)+td_GD+\"!\";\ntd_Xk+=td_2u.tdz_458622330bb1443ba3c26df83353125b.td_f(652,18)+td_qT+\"!\";td_Xk+=td_2u.tdz_458622330bb1443ba3c26df83353125b.td_f(670,18)+td_U2+\"!\";td_Xk+=td_2u.tdz_458622330bb1443ba3c26df83353125b.td_f(688,15)+td_Of+\"!\";\ntd_Xk+=td_2u.tdz_458622330bb1443ba3c26df83353125b.td_f(703,18)+td_tN+\"!\";td_Xk+=td_2u.tdz_458622330bb1443ba3c26df83353125b.td_f(721,12)+td_KQ;return 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td_LU=td_0Y.toLowerCase();if(td_LU===td_2u.tdz_e603287ec0704286a25633a19900077b.td_f(0,7)){td_LU=td_2u.tdz_e603287ec0704286a25633a19900077b.td_f(7,3);}else{if(td_LU===td_2u.tdz_e603287ec0704286a25633a19900077b.td_f(10,11)||td_LU===Number(333541).toString(26)){td_LU=td_2u.tdz_e603287ec0704286a25633a19900077b.td_f(21,3);\n}}this.os_name=td_LU;this._eq=function(td_0Y){return(td_0Y===this.os_name);};this._ne=function(td_0Y){return(td_0Y!==this.os_name);};this._gt=function(td_0Y){return(this.os_name>td_0Y);};this._ge=function(td_0Y){return(this.os_name>=td_0Y);\n};this._lt=function(td_0Y){return(this.os_name<td_0Y);};this._le=function(td_0Y){return(this.os_name<=td_0Y);};this._in=function(td_0Y){var td_Hs=(td_LU.constructor===String?[td_LU]:td_LU);var td_lK;for(td_lK=0;\ntd_lK<td_Hs.length;td_lK++){if(this.os_name===td_Hs[td_lK]){return true;}}return 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td_aG=td_0N.toLowerCase();if(td_aG===td_2u.tdz_e603287ec0704286a25633a19900077b.td_f(45,8)){td_aG=td_2u.tdz_e603287ec0704286a25633a19900077b.td_f(53,2);}this.browser_name=td_aG;\nthis._eq=function(td_0N){return(td_0N===this.browser_name);};this._ne=function(td_0N){return(td_0N!==this.browser_name);};this._in=function(td_0N){var td_Px=(td_0N.constructor===String?[td_0N]:td_0N);var td_gn;\nfor(td_gn=0;td_gn<td_Px.length;td_gn++){if(this.browser_name===td_Px[td_gn]){return true;}}return false;};}function td_g4(td_ul){this.version=td_ul;this._eq=function(td_LR){return(this.version===parseInt(td_LR));\n};this._ne=function(td_Q2){return(this.version!==parseInt(td_Q2));};this._gt=function(td_NV){return(this.version>parseInt(td_NV));};this._ge=function(td_Eo){return(this.version>=parseInt(td_Eo));};this._lt=function(td_Ve){return(this.version<parseInt(td_Ve));\n};this._le=function(td_oY){return(this.version<=parseInt(td_oY));};}var td_0z={};td_0z.td_1S=function(td_G,td_p){td_p=(typeof 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td_0M.td_3K(\"dbfadcc82d4b4471a113c05966ec9bd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td_2j 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:td_D,subString:td_0M.tdz_51c0a1e728434d789a2e59e6f09295d1.td_f(227,12),identity:td_0M.tdz_51c0a1e728434d789a2e59e6f09295d1.td_f(208,7)},{string:td_D,subString:td_0M.tdz_51c0a1e728434d789a2e59e6f09295d1.td_f(239,5),identity:td_0M.tdz_51c0a1e728434d789a2e59e6f09295d1.td_f(239,5)},{string:td_D,subString:td_0M.tdz_51c0a1e728434d789a2e59e6f09295d1.td_f(244,10),identity:td_0M.tdz_51c0a1e728434d789a2e59e6f09295d1.td_f(244,10)},{string:td_f,subString:td_0M.tdz_51c0a1e728434d789a2e59e6f09295d1.td_f(254,6),identity:td_0M.tdz_51c0a1e728434d789a2e59e6f09295d1.td_f(260,11)},{string:td_f,subString:td_0M.tdz_51c0a1e728434d789a2e59e6f09295d1.td_f(271,4),identity:td_0M.tdz_51c0a1e728434d789a2e59e6f09295d1.td_f(271,4)}];\nthis.td_s=[{string:td_D,subString:td_0M.tdz_51c0a1e728434d789a2e59e6f09295d1.td_f(182,3),identity:td_0M.tdz_51c0a1e728434d789a2e59e6f09295d1.td_f(185,7)},{string:td_D,subString:td_0M.tdz_51c0a1e728434d789a2e59e6f09295d1.td_f(192,3),identity:td_0M.tdz_51c0a1e728434d789a2e59e6f09295d1.td_f(192,3)},{string:td_D,subString:td_0M.tdz_51c0a1e728434d789a2e59e6f09295d1.td_f(275,9),identity:td_0M.tdz_51c0a1e728434d789a2e59e6f09295d1.td_f(208,7)},{string:td_D,subString:td_0M.tdz_51c0a1e728434d789a2e59e6f09295d1.td_f(284,11),identity:td_0M.tdz_51c0a1e728434d789a2e59e6f09295d1.td_f(208,7)},{string:td_D,subString:td_0M.tdz_51c0a1e728434d789a2e59e6f09295d1.td_f(239,5),identity:td_0M.tdz_51c0a1e728434d789a2e59e6f09295d1.td_f(239,5)},{string:td_D,subString:td_0M.tdz_51c0a1e728434d789a2e59e6f09295d1.td_f(244,10),identity:td_0M.tdz_51c0a1e728434d789a2e59e6f09295d1.td_f(244,10)},{string:td_D,subString:td_0M.tdz_51c0a1e728434d789a2e59e6f09295d1.td_f(254,6),identity:td_0M.tdz_51c0a1e728434d789a2e59e6f09295d1.td_f(254,6)},{string:td_D,subString:td_0M.tdz_51c0a1e728434d789a2e59e6f09295d1.td_f(271,4),identity:td_0M.tdz_51c0a1e728434d789a2e59e6f09295d1.td_f(271,4)}];\nthis.td_M=[{identity:td_0M.tdz_51c0a1e728434d789a2e59e6f09295d1.td_f(185,7),versionMap:[{s:td_0M.tdz_51c0a1e728434d789a2e59e6f09295d1.td_f(295,10),r:/(Windows 10.0|Windows NT 10.0)/},{s:td_0M.tdz_51c0a1e728434d789a2e59e6f09295d1.td_f(305,11),r:/(Windows 8.1|Windows NT 6.3)/},{s:td_0M.tdz_51c0a1e728434d789a2e59e6f09295d1.td_f(316,9),r:/(Windows 8|Windows NT 6.2)/},{s:td_0M.tdz_51c0a1e728434d789a2e59e6f09295d1.td_f(325,9),r:/(Windows 7|Windows NT 6.1)/},{s:td_0M.tdz_51c0a1e728434d789a2e59e6f09295d1.td_f(334,13),r:/Windows NT 6.0/},{s:td_0M.tdz_51c0a1e728434d789a2e59e6f09295d1.td_f(347,19),r:/Windows NT 5.2/},{s:td_0M.tdz_51c0a1e728434d789a2e59e6f09295d1.td_f(366,10),r:/(Windows NT 5.1|Windows XP)/},{s:td_0M.tdz_51c0a1e728434d789a2e59e6f09295d1.td_f(376,12),r:/(Windows NT 5.0|Windows 2000)/},{s:td_0M.tdz_51c0a1e728434d789a2e59e6f09295d1.td_f(388,10),r:/(Win 9x 4.90|Windows ME)/},{s:td_0M.tdz_51c0a1e728434d789a2e59e6f09295d1.td_f(398,10),r:/(Windows 98|Win98)/},{s:td_0M.tdz_51c0a1e728434d789a2e59e6f09295d1.td_f(408,10),r:/(Windows 95|Win95|Windows_95)/},{s:td_0M.tdz_51c0a1e728434d789a2e59e6f09295d1.td_f(418,14),r:/(Windows NT 4.0|WinNT4.0|WinNT|Windows NT)/},{s:td_0M.tdz_51c0a1e728434d789a2e59e6f09295d1.td_f(432,10),r:/Windows CE/},{s:td_0M.tdz_51c0a1e728434d789a2e59e6f09295d1.td_f(442,12),r:/Win16/}]},{identity:td_0M.tdz_51c0a1e728434d789a2e59e6f09295d1.td_f(192,3),versionMap:[{s:td_0M.tdz_51c0a1e728434d789a2e59e6f09295d1.td_f(454,8),r:/Mac OS X/},{s:td_0M.tdz_51c0a1e728434d789a2e59e6f09295d1.td_f(462,6),r:/(MacPPC|MacIntel|Mac_PowerPC|Macintosh)/}]},{identity:td_0M.tdz_51c0a1e728434d789a2e59e6f09295d1.td_f(195,13),versionMap:[{s:td_0M.tdz_51c0a1e728434d789a2e59e6f09295d1.td_f(468,17),r:/Windows Phone 6.0/},{s:td_0M.tdz_51c0a1e728434d789a2e59e6f09295d1.td_f(485,17),r:/Windows Phone 7.0/},{s:td_0M.tdz_51c0a1e728434d789a2e59e6f09295d1.td_f(502,17),r:/Windows Phone 8.0/},{s:td_0M.tdz_51c0a1e728434d789a2e59e6f09295d1.td_f(519,17),r:/Windows Phone 8.1/},{s:td_0M.tdz_51c0a1e728434d789a2e59e6f09295d1.td_f(536,18),r:/Windows Phone 10.0/}]}];\nthis.td_1E=(typeof window.orientation!==[][[]]+\"\");this.td_3Q=this.td_j(this.td_s)||td_0M.tdz_51c0a1e728434d789a2e59e6f09295d1.td_f(554,7);this.td_3l=this.td_E()||td_0M.tdz_51c0a1e728434d789a2e59e6f09295d1.td_f(554,7);\nthis.td_3E=this.td_j(this.td_e)||td_0M.tdz_51c0a1e728434d789a2e59e6f09295d1.td_f(554,7);this.td_0V=this.td_d(this.td_3E,td_f)||this.td_d(this.td_3E,td_g)||td_0M.tdz_51c0a1e728434d789a2e59e6f09295d1.td_f(554,7);\nthis.td_0f=this.td_j(this.td_C)||td_0M.tdz_51c0a1e728434d789a2e59e6f09295d1.td_f(554,7);this.td_2c=this.td_I(this.td_M,this.td_0f,td_f,td_g)||this.td_0f;},td_I:function(td_T,td_Z,td_L,td_P){var td_b=td_L;\nvar td_W=td_P;var td_r=td_Z;var td_Y;for(var td_x=0;td_x<td_T.length;td_x++){if(td_T[td_x].identity===td_Z){for(var td_f=0;td_f<td_T[td_x].versionMap.length;td_f++){var td_J=td_T[td_x].versionMap[td_f];\nif(td_J.r.test(td_b)){td_r=td_J.s;if(/Windows/.test(td_r)){return td_r;}break;}}break;}}switch(td_r){case td_0M.tdz_51c0a1e728434d789a2e59e6f09295d1.td_f(454,8):td_r=null;var td_m=/(Mac OS X 10[\\.\\_\\d]+)/.exec(td_b);\nif(td_m!==null&&td_m.length>=1){td_r=td_m[1];}break;case td_0M.tdz_51c0a1e728434d789a2e59e6f09295d1.td_f(208,7):td_r=null;var td_p=/[^-](Android[^\\d]?[\\.\\_\\d]+)/.exec(td_b);if(td_p!==null&&td_p.length>=1){td_r=td_p[1];\n}break;case td_0M.tdz_51c0a1e728434d789a2e59e6f09295d1.td_f(271,4):case td_0M.tdz_51c0a1e728434d789a2e59e6f09295d1.td_f(254,6):case td_0M.tdz_51c0a1e728434d789a2e59e6f09295d1.td_f(260,11):td_r=null;td_Y=/OS (\\d+)_(\\d+)_?(\\d+)?/.exec(td_W);\nif(td_Y!==null){var td_n=td_Y.length>=1?td_Y[1]:td_0M.tdz_51c0a1e728434d789a2e59e6f09295d1.td_f(554,7);var td_h=td_Y.length>=2?td_Y[2]:td_0M.tdz_51c0a1e728434d789a2e59e6f09295d1.td_f(554,7);var td_U=td_Y.length>=3?td_Y[3]|\"0\":\"0\";\ntd_r=td_0M.tdz_51c0a1e728434d789a2e59e6f09295d1.td_f(561,4)+td_n+\".\"+td_h+\".\"+td_U;}break;default:return null;}return td_r;},td_j:function(td_Y){for(var td_Z=0;td_Z<td_Y.length;td_Z++){var td_g=td_Y[td_Z].string;\nvar 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