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https://file.scirp.org/xml/WJM_2014073014310417.xml	[ "WJMWorld Journal of Mechanics2160-049XScientific Research Publishing10.4236/wjm.2014.47023WJM-48290ArticlesENGINEERINGPHYSICS & MATHEMATICSAn Overset Grid Method for Fluid-Structure InteractionScottT. Miller1*R.L. Campbell1C.W. Elsworth1J.S. Pitt1D.A. Boger1Applied Research Laboratory, The Pennsylvania State Unive...	[ null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.89695597,"math_prob":0.893442,"size":23079,"snap":"2019-43-2019-47","text_gpt3_token_len":4707,"char_repetition_ratio":0.17317443,"word_repetition_ratio":0.06990881,"special_character_ratio":0.18978292,"punctuation_ratio":0.07978723,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9535758,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2019-11-22T12:35:12Z\",\"WARC-Record-ID\":\"<urn:uuid:6727d269-1744-4370-a78e-81f490a9d99e>\",\"Content-Length\":\"140564\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:4fa5d6c0-1ca8-4ed2-a55f-03e01314eca7>\",\"WARC-Concurrent-To\":\"<urn:uuid:c76479ba-dcdb-4008-81d9-2f31a06ab722>\",\"WARC-IP-Address\":\"198.204.224.91\",\"WARC-Target-URI\":\"https://file.scirp.org/xml/WJM_2014073014310417.xml\",\"WARC-Payload-Digest\":\"sha1:4Z3CXXVCW5TC2B5EGSY4ZW7JRIQAMNMO\",\"WARC-Block-Digest\":\"sha1:4P24SZI3CVB3ULJYUQRHPY44YMKFBX4W\",\"WARC-Identified-Payload-Type\":\"application/xml\",\"warc_filename\":\"/cc_download/warc_2019/CC-MAIN-2019-47/CC-MAIN-2019-47_segments_1573496671260.30_warc_CC-MAIN-20191122115908-20191122143908-00218.warc.gz\"}"}
https://se.mathworks.com/matlabcentral/cody/problems/1129-reverse-the-elements-of-an-array/solutions/2042451	[ "Cody\n\n# Problem 1129. Reverse the elements of an array\n\nSolution 2042451\n\nSubmitted on 2 Dec 2019 by maya abu fowdah\nThis solution is locked. To view this solution, you need to provide a solution of the same size or smaller.\n\n### Test Suite\n\nTest Status Code Input and Output\n1 Pass\nx = []; y_correct...	[ null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.50519794,"math_prob":0.9965865,"size":1175,"snap":"2020-45-2020-50","text_gpt3_token_len":443,"char_repetition_ratio":0.19812126,"word_repetition_ratio":0.0,"special_character_ratio":0.42978725,"punctuation_ratio":0.25177306,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.98567694,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2020-11-26T05:17:01Z\",\"WARC-Record-ID\":\"<urn:uuid:7eb11c4c-93c4-471c-8dfd-d5a7152629e5>\",\"Content-Length\":\"83278\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:c3ca4508-0efe-4d30-87b9-c577a646f12a>\",\"WARC-Concurrent-To\":\"<urn:uuid:46cff813-1d0c-4c0c-943e-2b8e0671dd5e>\",\"WARC-IP-Address\":\"23.212.144.59\",\"WARC-Target-URI\":\"https://se.mathworks.com/matlabcentral/cody/problems/1129-reverse-the-elements-of-an-array/solutions/2042451\",\"WARC-Payload-Digest\":\"sha1:R6W3ARPPSIYI635K2YMXPJ5PKVGQTVYQ\",\"WARC-Block-Digest\":\"sha1:XPOPPWIHZ35HCCV3MZN5YEC4AEMCLUOE\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2020/CC-MAIN-2020-50/CC-MAIN-2020-50_segments_1606141186414.7_warc_CC-MAIN-20201126030729-20201126060729-00692.warc.gz\"}"}
https://risc.jku.at/tk/on-the-ubiquity-of-modular-forms-and-apery-like-numbers/	[ "## On the ubiquity of modular forms and Apery-like numbers\n\nSpeaker: Armin Straub\nDate: 09/10/2013\nTime: 14:00 - 16:00\n\nLocation: RISC Seminar room\n\nIn the first part of this talk, we give examples from the theories of short random walks, binomial congruences, positivity of rational functions and series fo...	[ null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.9097899,"math_prob":0.9867993,"size":1358,"snap":"2020-45-2020-50","text_gpt3_token_len":349,"char_repetition_ratio":0.09601182,"word_repetition_ratio":0.009708738,"special_character_ratio":0.2437408,"punctuation_ratio":0.12109375,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.98350334,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2020-11-29T16:36:43Z\",\"WARC-Record-ID\":\"<urn:uuid:6263f2de-e24d-4708-a390-58bfdb73bc6f>\",\"Content-Length\":\"17150\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:515182ed-7ca9-4ba5-838a-47c15ad136bd>\",\"WARC-Concurrent-To\":\"<urn:uuid:acd3650a-f61a-4ad2-8f78-0832a7d86a4e>\",\"WARC-IP-Address\":\"193.170.37.79\",\"WARC-Target-URI\":\"https://risc.jku.at/tk/on-the-ubiquity-of-modular-forms-and-apery-like-numbers/\",\"WARC-Payload-Digest\":\"sha1:MGZN53NGSLJLYAIDXV36U7NU5FSJ5OD5\",\"WARC-Block-Digest\":\"sha1:VIROLMRPEKAQOEGYXWPSLCWKZ5PPWZ5S\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2020/CC-MAIN-2020-50/CC-MAIN-2020-50_segments_1606141201836.36_warc_CC-MAIN-20201129153900-20201129183900-00336.warc.gz\"}"}
https://www.informatik.uni-wuerzburg.de/aktuelles/veranstaltungen/informatik-kolloquium/sommersemester-2015/06072015/	[ "", null, "# 06.07.2015\n\n## Informatik-Kolloquium\n\nIm Sommersemester 2015 findet im Rahmen des Informatik-Kolloquiums der folgende Vortrag statt:\n\nMontag, 6. Juli 2015, 16.15 Uhr, Turing-Hörsaal\n\n### Finding an Approximate Shortest Path amid Weighted Regions\n\nGiven a triangulated region R that consist...	[ null, "https://webstats.uni-wuerzburg.de/source.png", null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.8538932,"math_prob":0.96655166,"size":1634,"snap":"2021-43-2021-49","text_gpt3_token_len":384,"char_repetition_ratio":0.11042945,"word_repetition_ratio":0.015444015,"special_character_ratio":0.20991433,"punctuation_ratio":0.09836066,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9826064,"pos_list":[0,1,2],"im_url_duplicate_count":[null,null,null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2021-10-24T00:00:42Z\",\"WARC-Record-ID\":\"<urn:uuid:0d6783a5-6bb3-4b40-9d33-20dbce1fdfa5>\",\"Content-Length\":\"57352\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:5929d6d3-4e35-4c81-9bde-d8ee0115aa7d>\",\"WARC-Concurrent-To\":\"<urn:uuid:befc3566-d253-4917-8251-9ac176eeaca9>\",\"WARC-IP-Address\":\"132.187.1.115\",\"WARC-Target-URI\":\"https://www.informatik.uni-wuerzburg.de/aktuelles/veranstaltungen/informatik-kolloquium/sommersemester-2015/06072015/\",\"WARC-Payload-Digest\":\"sha1:E3WPA5E2DGGZNR2EGQHPYKRB4MVR6ISY\",\"WARC-Block-Digest\":\"sha1:UYEE2ZYANTTWH3MB3R2C6VEUMIPOCMMO\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2021/CC-MAIN-2021-43/CC-MAIN-2021-43_segments_1634323585828.15_warc_CC-MAIN-20211023224247-20211024014247-00393.warc.gz\"}"}
https://www.math-dictionary.com/percent-of-change.html	[ "# What is Percent of Change? Definition and Examples\n\nWhat is percent of change? Suppose the price of a \\$100 Android tablet increases by \\$20. You can express the increase as a percent as shown below.", null, "20% is an example of percent of change.\n\nGenerally speaking, the percent of change is the rati...	[ null, "data:image/svg+xml,%3Csvg xmlns='http://www.w3.org/2000/svg' viewBox='0 0 383 189'%3E%3C/svg%3E", null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.9505463,"math_prob":0.9772777,"size":1222,"snap":"2023-40-2023-50","text_gpt3_token_len":320,"char_repetition_ratio":0.23152709,"word_repetition_ratio":0.2184874,"special_character_ratio":0.31996727,"punctuation_ratio":0.08979592,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9982431,"pos_list":[0,1,2],"im_url_duplicate_count":[null,null,null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2023-10-04T02:06:23Z\",\"WARC-Record-ID\":\"<urn:uuid:c33e4995-c134-4740-9809-1743bbbacba9>\",\"Content-Length\":\"24186\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:197f4aa9-585f-487b-8ed8-a43c36c12400>\",\"WARC-Concurrent-To\":\"<urn:uuid:83ac6e31-0c99-4eac-af79-9049b711db95>\",\"WARC-IP-Address\":\"173.247.218.135\",\"WARC-Target-URI\":\"https://www.math-dictionary.com/percent-of-change.html\",\"WARC-Payload-Digest\":\"sha1:CY5C3SJQQRHJUDM2YMVQLBWUNGGXB37D\",\"WARC-Block-Digest\":\"sha1:3ZAJTWAZBGFWIM2UZFI6O6Q3GDJVXJ74\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2023/CC-MAIN-2023-40/CC-MAIN-2023-40_segments_1695233511351.18_warc_CC-MAIN-20231004020329-20231004050329-00723.warc.gz\"}"}
https://graph-tool.skewed.de/static/doc/autosummary/graph_tool.inference.nested_partition_overlap.html	[ "# graph_tool.inference.nested_partition_overlap#\n\ngraph_tool.inference.nested_partition_overlap(x, y, norm=True)[source]#\n\nReturns the hierarchical maximum overlap between nested partitions, according to an optimal recursive label alignment.\n\nParameters:\nxiterable of iterables of int values\n\nFirst partiti...	[ null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.6586881,"math_prob":0.99881876,"size":2709,"snap":"2023-40-2023-50","text_gpt3_token_len":849,"char_repetition_ratio":0.12865065,"word_repetition_ratio":0.06269593,"special_character_ratio":0.33259505,"punctuation_ratio":0.19329388,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.99974054,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2023-09-29T22:44:21Z\",\"WARC-Record-ID\":\"<urn:uuid:4b6278c4-032d-447d-9a21-e7b60f5e4b9c>\",\"Content-Length\":\"74368\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:64c1455e-9274-41e8-b17f-ad9a08e51f97>\",\"WARC-Concurrent-To\":\"<urn:uuid:0bd3db37-6f06-4e92-9661-64749ff3cafe>\",\"WARC-IP-Address\":\"49.12.93.194\",\"WARC-Target-URI\":\"https://graph-tool.skewed.de/static/doc/autosummary/graph_tool.inference.nested_partition_overlap.html\",\"WARC-Payload-Digest\":\"sha1:SCUGTYYJS4TRTQJXRRVDZWU5DT6EXASV\",\"WARC-Block-Digest\":\"sha1:U2UDO3YQLXZ6KB24WBRGRQEZLUCM5GFB\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2023/CC-MAIN-2023-40/CC-MAIN-2023-40_segments_1695233510529.8_warc_CC-MAIN-20230929222230-20230930012230-00165.warc.gz\"}"}
https://practicaldev-herokuapp-com.global.ssl.fastly.net/the_wooden_h/simple-and-effective-collision-resolution-of-an-axis-aligned-bounding-box-to-an-immovable-plane-50cl	[ "## DEV Community is a community of 623,823 amazing developers\n\nWe're a place where coders share, stay up-to-date and grow their careers.\n\n# Simple and Effective Collision Resolution of an Axis Aligned Bounding Box to an Immovable Plane\n\nRecently here at Wooden H Studio we have uncovered a way to create some ...	[ null, "https://res.cloudinary.com/practicaldev/image/fetch/s--RmY55OKL--/c_limit,f_auto,fl_progressive,q_auto,w_256/https://practicaldev-herokuapp-com.freetls.fastly.net/assets/devlogo-pwa-512.png", null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.94526356,"math_prob":0.93004143,"size":2693,"snap":"2021-21-2021-25","text_gpt3_token_len":595,"char_repetition_ratio":0.14838229,"word_repetition_ratio":0.011627907,"special_character_ratio":0.21648718,"punctuation_ratio":0.07192983,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9914776,"pos_list":[0,1,2],"im_url_duplicate_count":[null,null,null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2021-05-14T19:37:32Z\",\"WARC-Record-ID\":\"<urn:uuid:299f0f5a-7b08-4cd6-a925-3d5026e0ead4>\",\"Content-Length\":\"97815\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:d38020c3-8a4d-4d6a-ac35-1e5302f70267>\",\"WARC-Concurrent-To\":\"<urn:uuid:a8d5a63a-d15a-4c92-bf98-1570bab295f6>\",\"WARC-IP-Address\":\"151.101.249.194\",\"WARC-Target-URI\":\"https://practicaldev-herokuapp-com.global.ssl.fastly.net/the_wooden_h/simple-and-effective-collision-resolution-of-an-axis-aligned-bounding-box-to-an-immovable-plane-50cl\",\"WARC-Payload-Digest\":\"sha1:IXOT33GEUBIR3HXMDD67OI7NIW25GYZT\",\"WARC-Block-Digest\":\"sha1:QIAQ6GNCWNXWZD3TQ2HYS26ZL2V34GX5\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2021/CC-MAIN-2021-21/CC-MAIN-2021-21_segments_1620243991207.44_warc_CC-MAIN-20210514183414-20210514213414-00275.warc.gz\"}"}
https://se.mathworks.com/help/deeplearning/ug/train-deep-learning-network-to-classify-new-images.html	[ "# Train Deep Learning Network to Classify New Images\n\nThis example shows how to use transfer learning to retrain a convolutional neural network to classify a new set of images.\n\nPretrained image classification networks have been trained on over a million images and can classify images into 1000 object categori...	[ null, "https://se.mathworks.com/help/examples/nnet/win64/TransferLearningUsingGoogLeNetExample_01.png", null, "https://se.mathworks.com/help/examples/nnet/win64/TransferLearningUsingGoogLeNetExample_06.png", null, "https://se.mathworks.com/help/examples/nnet/win64/TransferLearningUsingGoogLeNetExample_02....	{"ft_lang_label":"__label__en","ft_lang_prob":0.7464511,"math_prob":0.86295307,"size":10569,"snap":"2022-40-2023-06","text_gpt3_token_len":2367,"char_repetition_ratio":0.16469474,"word_repetition_ratio":0.008403362,"special_character_ratio":0.2126975,"punctuation_ratio":0.18395722,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.95585835,"pos_list":[0,1,2,3,4,5,6,7,8,9,10,11,12],"im_url_duplicate_count":[null,2,null,2,null,2,null,2,null,2,null,2,null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2023-02-06T17:14:32Z\",\"WARC-Record-ID\":\"<urn:uuid:665c3b4e-06f0-4c60-9978-bdf818e3a1b8>\",\"Content-Length\":\"99237\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:fddac59f-a0c7-4a1f-809f-e55ca695d8b6>\",\"WARC-Concurrent-To\":\"<urn:uuid:c1439f41-78aa-491d-b5a9-86b5e25499fd>\",\"WARC-IP-Address\":\"104.86.80.92\",\"WARC-Target-URI\":\"https://se.mathworks.com/help/deeplearning/ug/train-deep-learning-network-to-classify-new-images.html\",\"WARC-Payload-Digest\":\"sha1:TJ2ZPEIEKLWTC6S7TVIUMSNYKHNJ4DCT\",\"WARC-Block-Digest\":\"sha1:WC2CSTYO4M2P6CJ7YGDZNVCLPG2TTSUJ\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2023/CC-MAIN-2023-06/CC-MAIN-2023-06_segments_1674764500356.92_warc_CC-MAIN-20230206145603-20230206175603-00579.warc.gz\"}"}
https://www.statology.org/how-to-calculate-mse-in-r/	[ "# How to Calculate MSE in R\n\nOne of the most common metrics used to measure the prediction accuracy of a model is MSE, which stands for mean squared error. It is calculated as:\n\nMSE = (1/n) * Σ(actual – prediction)2\n\nwhere:\n\n• Σ – a fancy symbol that means “sum”\n• n – sample size\n• actual – the actual da...	[ null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.74324363,"math_prob":0.99046326,"size":1843,"snap":"2022-40-2023-06","text_gpt3_token_len":494,"char_repetition_ratio":0.15715063,"word_repetition_ratio":0.045161292,"special_character_ratio":0.28269127,"punctuation_ratio":0.11375661,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9998778,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2023-01-31T06:33:46Z\",\"WARC-Record-ID\":\"<urn:uuid:50a0eda0-8435-44ee-99cc-06e872439346>\",\"Content-Length\":\"48108\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:0fba502e-2ae4-4b22-914a-602899a7eec5>\",\"WARC-Concurrent-To\":\"<urn:uuid:66350f8d-158a-4e5f-a1e8-15a4d6f3ecf4>\",\"WARC-IP-Address\":\"35.206.100.4\",\"WARC-Target-URI\":\"https://www.statology.org/how-to-calculate-mse-in-r/\",\"WARC-Payload-Digest\":\"sha1:PSJRAKOVI7ONY6E2RKRR33UAAR76P7KW\",\"WARC-Block-Digest\":\"sha1:RAOO73D5UM3C7C57IHXCHWEQGRGICQTE\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2023/CC-MAIN-2023-06/CC-MAIN-2023-06_segments_1674764499845.10_warc_CC-MAIN-20230131055533-20230131085533-00091.warc.gz\"}"}
https://stacks.math.columbia.edu/tag/04P1	[ "Lemma 74.7.1. Let $S$ be a scheme. Let $\\{ f_ i : T_ i \\to T\\} _{i \\in I}$ be an fpqc covering of algebraic spaces over $S$. Suppose that for each $i$ we have an open subspace $W_ i \\subset T_ i$ such that for all $i, j \\in I$ we have $\\text{pr}_0^{-1}(W_ i) = \\text{pr}_1^{-1}(W_ j)$ as open subspaces of $...	[ null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.7620262,"math_prob":0.99984264,"size":1459,"snap":"2023-40-2023-50","text_gpt3_token_len":461,"char_repetition_ratio":0.10721649,"word_repetition_ratio":0.014084507,"special_character_ratio":0.33036327,"punctuation_ratio":0.104166664,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.99998784,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2023-12-11T19:03:07Z\",\"WARC-Record-ID\":\"<urn:uuid:f39d41cf-a1fa-4631-ad55-0b75803eb57e>\",\"Content-Length\":\"14990\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:6f837b4f-4af7-4f14-b1f8-f1c6aa6a0bd4>\",\"WARC-Concurrent-To\":\"<urn:uuid:7a28c1eb-4c28-4750-bd2d-62adff64db47>\",\"WARC-IP-Address\":\"128.59.222.85\",\"WARC-Target-URI\":\"https://stacks.math.columbia.edu/tag/04P1\",\"WARC-Payload-Digest\":\"sha1:LHSMIUGBZGTKQYDZSUHICBP6EWNZUXLP\",\"WARC-Block-Digest\":\"sha1:QCL6N4Z4FOY7MQVM4K5KULPYSS6B7DHW\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2023/CC-MAIN-2023-50/CC-MAIN-2023-50_segments_1700679516047.98_warc_CC-MAIN-20231211174901-20231211204901-00324.warc.gz\"}"}
http://www.softmath.com/math-book-answers/perfect-square-trinomial/free-fraction-solver.html	[ "English \| Español\n\n# Try our Free Online Math Solver!", null, "Online Math Solver\n\n Depdendent Variable\n\n Number of equations to solve: 23456789\n Equ. #1:\n Equ. #2:\n\n Equ. #3:\n\n Equ. #4:\n\n Equ. #5:\n\n Equ. #6:\n\n Equ. #7:\n\n Equ. #8:\n\n Equ. #9:\n\n Solve for:\n\n Dependent Variable\n\n Numbe...	[ null, "http://www.softmath.com/images/video-pages/solver-top.png", null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.87457,"math_prob":0.9335288,"size":5265,"snap":"2019-51-2020-05","text_gpt3_token_len":1170,"char_repetition_ratio":0.122220114,"word_repetition_ratio":0.0,"special_character_ratio":0.20037986,"punctuation_ratio":0.062195122,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9975177,"pos_list":[0,1,2],"im_url_duplicate_count":[null,null,null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2019-12-09T18:04:10Z\",\"WARC-Record-ID\":\"<urn:uuid:c3229ad0-d8e4-4965-ab53-cee62e549524>\",\"Content-Length\":\"91351\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:8b3ec3ba-34dd-4cb0-8da9-ded5ca8fbcaf>\",\"WARC-Concurrent-To\":\"<urn:uuid:db886d5b-6ccd-4fd4-a3d1-ac9b9fb1c689>\",\"WARC-IP-Address\":\"52.43.142.96\",\"WARC-Target-URI\":\"http://www.softmath.com/math-book-answers/perfect-square-trinomial/free-fraction-solver.html\",\"WARC-Payload-Digest\":\"sha1:6JLLFVV5UVGTYZ3KVWZ52HUALDAETEQX\",\"WARC-Block-Digest\":\"sha1:WPUR3RWF427QJHCM4NR7HPG72I6MTMOH\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2019/CC-MAIN-2019-51/CC-MAIN-2019-51_segments_1575540521378.25_warc_CC-MAIN-20191209173528-20191209201528-00219.warc.gz\"}"}
https://archive.softwareheritage.org/browse/content/sha1_git:0711b10576b50955b009f5a03d0a5fbe0cf854e0/?branch=HEAD&origin_url=https://github.com/tensorly/tensorly&path=aeaa7023534ddb806ad09b7eddb104b1bc5e1a9c/tensorly/tt_matrix.py	[ "##### https://github.com/tensorly/tensorly\nTip revision: 72174be\ntt_matrix.py\n``````\"\"\"Module for matrices in the TT format\"\"\"\n\nimport tensorly as tl\n\n# Note how tt_matrix_to_tensor is implemented in tenalg to allow for more efficient implementations\n# (e.g. using the einsum backend)\nfrom .tenalg im...	[ null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.6587872,"math_prob":0.9844954,"size":7257,"snap":"2023-40-2023-50","text_gpt3_token_len":1927,"char_repetition_ratio":0.17565146,"word_repetition_ratio":0.20725389,"special_character_ratio":0.29158056,"punctuation_ratio":0.15675241,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9996712,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2023-09-29T16:13:34Z\",\"WARC-Record-ID\":\"<urn:uuid:fb2b4def-24de-4079-8eb3-5bb6a9ef2490>\",\"Content-Length\":\"59354\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:a872a88e-e4db-4efe-9e87-d68fd84838ff>\",\"WARC-Concurrent-To\":\"<urn:uuid:1aaaeb79-bbb1-4ca4-8629-7723cb311bbd>\",\"WARC-IP-Address\":\"128.93.166.15\",\"WARC-Target-URI\":\"https://archive.softwareheritage.org/browse/content/sha1_git:0711b10576b50955b009f5a03d0a5fbe0cf854e0/?branch=HEAD&origin_url=https://github.com/tensorly/tensorly&path=aeaa7023534ddb806ad09b7eddb104b1bc5e1a9c/tensorly/tt_matrix.py\",\"WARC-Payload-Digest\":\"sha1:4TZIVKPDIFLXU6X3JKUS4MSB4GLDKDQU\",\"WARC-Block-Digest\":\"sha1:V6UTISEYMSFTN63BM57VGSOPCF7GNLT5\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2023/CC-MAIN-2023-40/CC-MAIN-2023-40_segments_1695233510520.98_warc_CC-MAIN-20230929154432-20230929184432-00111.warc.gz\"}"}
https://rlc.vlinder.ca/blog/2014/02/optimizing-with-type-lists/	[ "In this post, I will take a brief look at how using type lists can help optimize certain applications. Some of the optimizations in Vlinder Sofwtare’s more special-purpose parsers are possible because they are written in C++ and can therefore use template meta-programming for parts of their work. We’ve recently fo...	[ null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.8826479,"math_prob":0.78759813,"size":5505,"snap":"2022-40-2023-06","text_gpt3_token_len":1204,"char_repetition_ratio":0.13797492,"word_repetition_ratio":0.027896997,"special_character_ratio":0.22216167,"punctuation_ratio":0.10763209,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9578494,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2022-10-07T16:47:53Z\",\"WARC-Record-ID\":\"<urn:uuid:cc19ddef-dcfd-4c43-b288-5dc28cd3b486>\",\"Content-Length\":\"14278\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:578152ef-a76f-44b4-ad67-f3cfe0f6b85d>\",\"WARC-Concurrent-To\":\"<urn:uuid:a9d18b14-c16a-4c8b-ace1-869869042bee>\",\"WARC-IP-Address\":\"185.199.110.153\",\"WARC-Target-URI\":\"https://rlc.vlinder.ca/blog/2014/02/optimizing-with-type-lists/\",\"WARC-Payload-Digest\":\"sha1:YIZXALJ46LCBP4XILWSY3OR73JGBIAJ6\",\"WARC-Block-Digest\":\"sha1:T5OEXGB7ZLFCZ35FBSRTW6Q3ERG7GVHE\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2022/CC-MAIN-2022-40/CC-MAIN-2022-40_segments_1664030338213.55_warc_CC-MAIN-20221007143842-20221007173842-00721.warc.gz\"}"}
http://timescalewiki.org/index.php?title=Delta_integral_from_t_to_sigma(t)&oldid=1333	[ "Delta integral from t to sigma(t)\n\n(diff) ← Older revision \| Latest revision (diff) \| Newer revision → (diff)\nThe following formula holds: $$\\int_t^{\\sigma(t)} f(\\tau) \\Delta \\tau = \\mu(t)f(t),$$ where $\\int$ denotes the delta integral, $\\sigma$ denotes the forward jump, and $\\mu$ denotes the forward g...	[ null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.9382592,"math_prob":0.99992347,"size":408,"snap":"2019-43-2019-47","text_gpt3_token_len":115,"char_repetition_ratio":0.1509901,"word_repetition_ratio":0.033898305,"special_character_ratio":0.2990196,"punctuation_ratio":0.08974359,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9998723,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2019-10-21T19:56:41Z\",\"WARC-Record-ID\":\"<urn:uuid:08e01288-f0e5-4365-a5ad-7699a1f4c465>\",\"Content-Length\":\"15375\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:9755cffa-251e-44c9-b2d7-6326073ff0c9>\",\"WARC-Concurrent-To\":\"<urn:uuid:1bd4a7bc-409c-4507-9e97-cf0cb4e0a80e>\",\"WARC-IP-Address\":\"69.164.202.46\",\"WARC-Target-URI\":\"http://timescalewiki.org/index.php?title=Delta_integral_from_t_to_sigma(t)&oldid=1333\",\"WARC-Payload-Digest\":\"sha1:BUUKALQETG77AEKRMPUXKXNJ4RBVVZTO\",\"WARC-Block-Digest\":\"sha1:WCUNI6FQPE6E2RWATWOZULIKS3MEBZLT\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2019/CC-MAIN-2019-43/CC-MAIN-2019-43_segments_1570987787444.85_warc_CC-MAIN-20191021194506-20191021222006-00064.warc.gz\"}"}
https://community.esri.com/t5/python-questions/an-arcpy-solution-for-randomizing-overlapping/td-p/1136111	[ "# An arcpy solution for randomizing overlapping points within a shape?\n\n298\n2\n01-21-2022 05:18 PM", null, "New Contributor\n\nI have a shapefile layer with polygons for the 50 U.S. states (\"States\"). I also have a point featureclass with potentially many overlapping points at the centroid of each state p...	[ null, "https://community.esri.com/t5/image/serverpage/avatar-name/environment-clouds/avatar-theme/classic/avatar-collection/environment/avatar-display-size/message/version/2", null, "https://community.esri.com/t5/image/serverpage/image-id/48272iB44147C1D4101855/image-dimensions/50x50/image-coordinates/0%2C576...	{"ft_lang_label":"__label__en","ft_lang_prob":0.6516499,"math_prob":0.8562231,"size":4140,"snap":"2023-14-2023-23","text_gpt3_token_len":1043,"char_repetition_ratio":0.21542554,"word_repetition_ratio":0.76954734,"special_character_ratio":0.32584542,"punctuation_ratio":0.22070844,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.97918594,"pos_list":[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14],"im_url_duplicate_count":[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2023-06-01T02:42:34Z\",\"WARC-Record-ID\":\"<urn:uuid:81c55d53-9589-40ca-a216-854115ad6252>\",\"Content-Length\":\"223462\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:d58920b8-1b94-4f5e-af6d-27defde7e5a8>\",\"WARC-Concurrent-To\":\"<urn:uuid:8b9d5c7e-e8e3-4cd7-a27a-5b73acd0dcf8>\",\"WARC-IP-Address\":\"13.32.151.62\",\"WARC-Target-URI\":\"https://community.esri.com/t5/python-questions/an-arcpy-solution-for-randomizing-overlapping/td-p/1136111\",\"WARC-Payload-Digest\":\"sha1:2SQIELQOML4XJAGIVVJJANTGMPQUBK52\",\"WARC-Block-Digest\":\"sha1:6IKRP4VKS6TCFXDCMS3P2WKVORGDMRIT\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2023/CC-MAIN-2023-23/CC-MAIN-2023-23_segments_1685224647525.11_warc_CC-MAIN-20230601010402-20230601040402-00596.warc.gz\"}"}
https://nz.education.com/common-core/CCSS.MATH.CONTENT.1.MD.B.3/worksheets/	[ "# 1.MD.B.3 Worksheets\n\n#### CCSS.maths.CONTENT.1.MD.B.3\n\n:\n\"Tell and write time in hours and half-hours using analog and digital clocks.\"\n\nOur Take:Year two students should be able to read both an analog and digital clock within the hour and half-hour. A typical practise exercise involves reading and reco...	[ null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.8892751,"math_prob":0.5496024,"size":345,"snap":"2020-45-2020-50","text_gpt3_token_len":76,"char_repetition_ratio":0.102639295,"word_repetition_ratio":0.0,"special_character_ratio":0.2,"punctuation_ratio":0.18421052,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.979549,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2020-12-02T19:43:27Z\",\"WARC-Record-ID\":\"<urn:uuid:20ee1747-c1f2-43ae-8ac4-149ff5c67be9>\",\"Content-Length\":\"135691\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:20f9ed82-b5eb-4d07-ae13-a51b52b18e8f>\",\"WARC-Concurrent-To\":\"<urn:uuid:5119c461-dbfb-4524-999b-c4b330152e57>\",\"WARC-IP-Address\":\"151.101.249.185\",\"WARC-Target-URI\":\"https://nz.education.com/common-core/CCSS.MATH.CONTENT.1.MD.B.3/worksheets/\",\"WARC-Payload-Digest\":\"sha1:6CA5XKF4QRU5UQSKRTYNZEOSWN3MI3GT\",\"WARC-Block-Digest\":\"sha1:IUBEGIARH4ZRZYEHZE26OKG4ISASBJZN\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2020/CC-MAIN-2020-50/CC-MAIN-2020-50_segments_1606141715252.96_warc_CC-MAIN-20201202175113-20201202205113-00537.warc.gz\"}"}
http://www.techbrothersit.com/2016/03/how-to-create-sample-excel-file-with.html	[ "### How to Create Sample Excel file with Sheet from each table with Top 1000 Rows per sheet in SSIS Package - SSIS Tutorial\n\nYou are working as an ETL Developer / SSIS developer. You are asked to create an Excel file with date time on each execution and load the top X rows from each table to new excel sheet to n...	[ null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.5904529,"math_prob":0.5536172,"size":6166,"snap":"2019-43-2019-47","text_gpt3_token_len":1368,"char_repetition_ratio":0.15189873,"word_repetition_ratio":0.042857144,"special_character_ratio":0.2435939,"punctuation_ratio":0.19238095,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9817878,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2019-11-17T01:03:07Z\",\"WARC-Record-ID\":\"<urn:uuid:23ccf5fb-8fbd-4ad4-b600-6a4ea1f4b9fa>\",\"Content-Length\":\"106604\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:d57509e0-cafd-4b25-b2d9-e0b324a7435b>\",\"WARC-Concurrent-To\":\"<urn:uuid:71c55f08-c61c-4a3b-9ccc-e4dd20c2f567>\",\"WARC-IP-Address\":\"172.217.7.179\",\"WARC-Target-URI\":\"http://www.techbrothersit.com/2016/03/how-to-create-sample-excel-file-with.html\",\"WARC-Payload-Digest\":\"sha1:F63HPMLEW6K5IN46NSCWW5PR2HS5LHII\",\"WARC-Block-Digest\":\"sha1:QYH4AOCP7YVTLX2J2VP3SRJQDSACSY6B\",\"WARC-Identified-Payload-Type\":\"application/xhtml+xml\",\"warc_filename\":\"/cc_download/warc_2019/CC-MAIN-2019-47/CC-MAIN-2019-47_segments_1573496668772.53_warc_CC-MAIN-20191116231644-20191117015644-00079.warc.gz\"}"}
http://safecurves.cr.yp.to/proof/31002614113816567181.html	[ "Primality proof for n = 31002614113816567181:\n\nTake b = 2.\n\nb^(n-1) mod n = 1.\n\n66721073718023 is prime.\nb^((n-1)/66721073718023)-1 mod n = 28399559369264978603, which is a unit, inverse 17080331612411478219.\n\n(66721073718023) divides n-1.\n\n(66721073718023)^2 > n.\n\nn is prime by Pocklington's theorem....	[ null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.55133826,"math_prob":0.99503666,"size":296,"snap":"2022-27-2022-33","text_gpt3_token_len":115,"char_repetition_ratio":0.1780822,"word_repetition_ratio":0.0,"special_character_ratio":0.6655405,"punctuation_ratio":0.18518518,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9971274,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2022-07-02T11:22:57Z\",\"WARC-Record-ID\":\"<urn:uuid:47fc0339-a840-4319-bd5a-9134827ba226>\",\"Content-Length\":\"558\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:a2affe0e-0f86-4900-85f3-5c8087b5d98c>\",\"WARC-Concurrent-To\":\"<urn:uuid:79e0c04b-08b5-403d-a93d-ad39a82fa5d0>\",\"WARC-IP-Address\":\"131.193.32.108\",\"WARC-Target-URI\":\"http://safecurves.cr.yp.to/proof/31002614113816567181.html\",\"WARC-Payload-Digest\":\"sha1:FSWMBAIQ2235FWVC2R7G34ZIVGJ3UJ57\",\"WARC-Block-Digest\":\"sha1:2AEHUPVMJTQRQ4NJDJAOVRWFJT4CQJU5\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2022/CC-MAIN-2022-27/CC-MAIN-2022-27_segments_1656104054564.59_warc_CC-MAIN-20220702101738-20220702131738-00347.warc.gz\"}"}
http://www.xcxd.net/read/3-c8-a5-b7-d6-c4-b8-a3-ac-c8-a5-c0-a8-ba-c5-a3-ac-d2-c6-cf-ee-a3-ac-ba-cf-b2-a2-cd-ac-c0-e0-cf-ee-a3-ac-cf-b5-ca-fd-bb-af-ce-aa1..html	[ "# 去分母，去括号，移项，合并同类项，系数化为1.\n\n(8)(1.8-7x)/1.2-(1.3-3x)/0.2=-(5x-0.4)/0.3通分:(1.8-7x)-6(1.3-3x)=-4(5x-0.4)去括号:1.8-7x-7.8+18x=-20x+1.6合并:-6+11x=-20x+1.6移项:11x+20x=6+1.631x=7.6x=7.6/31=76/310=38/155如果不懂,请追问,祝学习愉快!\n\n3(x/2-7)=3x-6去括号3x/2-21=3x-6去分母3x-42=6x-12移项3x-6x=-12+42合并同类项-3x=30系数化为一x=-10\n\n1)去分母,依据等式性质2,注意每一项都要乘...	[ null ]	{"ft_lang_label":"__label__zh","ft_lang_prob":0.6472076,"math_prob":0.9972565,"size":1042,"snap":"2021-04-2021-17","text_gpt3_token_len":1063,"char_repetition_ratio":0.08188824,"word_repetition_ratio":0.0,"special_character_ratio":0.41074857,"punctuation_ratio":0.22962964,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.97007567,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2021-04-18T02:43:19Z\",\"WARC-Record-ID\":\"<urn:uuid:a501f84a-200e-4690-8fe0-ba4fb9747913>\",\"Content-Length\":\"9025\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:bc0dac1d-6b68-4960-a5dc-c6f69e25f197>\",\"WARC-Concurrent-To\":\"<urn:uuid:c85f9755-a772-4e10-bf05-ee6389cca076>\",\"WARC-IP-Address\":\"121.127.228.6\",\"WARC-Target-URI\":\"http://www.xcxd.net/read/3-c8-a5-b7-d6-c4-b8-a3-ac-c8-a5-c0-a8-ba-c5-a3-ac-d2-c6-cf-ee-a3-ac-ba-cf-b2-a2-cd-ac-c0-e0-cf-ee-a3-ac-cf-b5-ca-fd-bb-af-ce-aa1..html\",\"WARC-Payload-Digest\":\"sha1:UH3DMMX4LH32MVV2EPK2CPR45HCGWVE6\",\"WARC-Block-Digest\":\"sha1:J3HVHKEJLQYKFFTTAHGLYUP7ICGEFNLB\",\"WARC-Identified-Payload-Type\":\"application/xhtml+xml\",\"warc_filename\":\"/cc_download/warc_2021/CC-MAIN-2021-17/CC-MAIN-2021-17_segments_1618038464146.56_warc_CC-MAIN-20210418013444-20210418043444-00014.warc.gz\"}"}
https://www.colorhexa.com/27f519	[ "# #27f519 Color Information\n\nIn a RGB color space, hex #27f519 is composed of 15.3% red, 96.1% green and 9.8% blue. Whereas in a CMYK color space, it is composed of 84.1% cyan, 0% magenta, 89.8% yellow and 3.9% black. It has a hue angle of 116.2 degrees, a saturation of 91.7% and a lightness of 52.9%. #27f519 co...	[ null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.5486532,"math_prob":0.7204575,"size":3685,"snap":"2020-34-2020-40","text_gpt3_token_len":1631,"char_repetition_ratio":0.12170606,"word_repetition_ratio":0.011090573,"special_character_ratio":0.5606513,"punctuation_ratio":0.23783186,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.98520184,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2020-08-03T11:34:55Z\",\"WARC-Record-ID\":\"<urn:uuid:af33e3a1-7b3f-420a-9a7a-182fc5a7f074>\",\"Content-Length\":\"36267\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:395dc70c-0229-43fd-a974-9b9f641e4d28>\",\"WARC-Concurrent-To\":\"<urn:uuid:9764c46f-2a23-468b-ade5-9a9857790a9d>\",\"WARC-IP-Address\":\"178.32.117.56\",\"WARC-Target-URI\":\"https://www.colorhexa.com/27f519\",\"WARC-Payload-Digest\":\"sha1:GIAPEKGBZ2NUDL2CPISTFDAYJEWIBMPX\",\"WARC-Block-Digest\":\"sha1:BMUXCM3FIKR76HLKLTAMNZJ5PXADPTX2\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2020/CC-MAIN-2020-34/CC-MAIN-2020-34_segments_1596439735810.18_warc_CC-MAIN-20200803111838-20200803141838-00030.warc.gz\"}"}
https://myriverside.sd43.bc.ca/asiac2017/category/grade-9/math-9/	[ "# Asia's Blog\n\n### Math 9\n\nThe 5 most important things I learned in math 9 would be addition, subtraction, multiplication and division of rational numbers. Adding and subtracting with polynomials. Linear equations , linear inequalities algebraically and graphically and proportion. Addition, subtraction, multip...	[ null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.93242884,"math_prob":0.97820395,"size":2072,"snap":"2021-21-2021-25","text_gpt3_token_len":470,"char_repetition_ratio":0.13056093,"word_repetition_ratio":0.0,"special_character_ratio":0.22249034,"punctuation_ratio":0.10309278,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.99851334,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2021-05-11T01:47:30Z\",\"WARC-Record-ID\":\"<urn:uuid:bcc3dc66-1242-4a9b-9f8a-f1e74e9537cc>\",\"Content-Length\":\"54707\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:17412be8-fb9e-4ef1-97db-874b918188c3>\",\"WARC-Concurrent-To\":\"<urn:uuid:f54e1dce-be55-4ca1-bd77-c8e3063c17c1>\",\"WARC-IP-Address\":\"52.60.192.7\",\"WARC-Target-URI\":\"https://myriverside.sd43.bc.ca/asiac2017/category/grade-9/math-9/\",\"WARC-Payload-Digest\":\"sha1:6ABSQVTFRYNHW2GUJVBX6IXGOCSYERRT\",\"WARC-Block-Digest\":\"sha1:BBK6PQ7OT3WBJOKPSLQJOYRIIWSW33XM\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2021/CC-MAIN-2021-21/CC-MAIN-2021-21_segments_1620243991553.4_warc_CC-MAIN-20210510235021-20210511025021-00107.warc.gz\"}"}
https://www.arxiv-vanity.com/papers/astro-ph/0103047/	[ "###### Abstract\n\nWe constrain the spectrum of primordial curvature perturbations by using recent Cosmic Microwave Background (CMB) and Large Scale Structure (LSS) data. Specifically, we consider CMB data from the COBE, Boomerang and Maxima experiments, the real space galaxy power spectrum from the IRAS PSCz surv...	[ null, "https://media.arxiv-vanity.com/render-output/6313171/x1.png", null, "https://media.arxiv-vanity.com/render-output/6313171/x3.png", null, "https://media.arxiv-vanity.com/render-output/6313171/x4.png", null, "https://media.arxiv-vanity.com/render-output/6313171/x5.png", null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.8952123,"math_prob":0.97197795,"size":21602,"snap":"2022-27-2022-33","text_gpt3_token_len":5221,"char_repetition_ratio":0.14394851,"word_repetition_ratio":0.026272578,"special_character_ratio":0.24821776,"punctuation_ratio":0.16306348,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9694601,"pos_list":[0,1,2,3,4,5,6,7,8],"im_url_duplicate_count":[null,1,null,1,null,1,null,1,null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2022-07-02T17:58:54Z\",\"WARC-Record-ID\":\"<urn:uuid:3a7baefb-4de7-46f0-a9e2-ae24e4296743>\",\"Content-Length\":\"393255\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:854bfac9-0600-4279-90ad-3e102543ccea>\",\"WARC-Concurrent-To\":\"<urn:uuid:822d1e01-7cd5-49f9-9ea3-48ccf3e75c63>\",\"WARC-IP-Address\":\"172.67.158.169\",\"WARC-Target-URI\":\"https://www.arxiv-vanity.com/papers/astro-ph/0103047/\",\"WARC-Payload-Digest\":\"sha1:PWLJTTKX53H5VH4DFX4JVE7CJGWTXTJQ\",\"WARC-Block-Digest\":\"sha1:EMZ6U6GQ2H6QQBWDZFCNAIGJ654GBMP6\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2022/CC-MAIN-2022-27/CC-MAIN-2022-27_segments_1656104189587.61_warc_CC-MAIN-20220702162147-20220702192147-00338.warc.gz\"}"}
https://infoproc.wordpress.com/2008/10/02/sign-problem-in-qcd/	[ "# Information Processing\n\nJust another WordPress.com weblog\n\n## Sign problem in QCD\n\nThe revised version of our paper 0808.2987 is up on arXiv now. Special thanks to Kim Splittorff, Mark Alford, Bob Sugar, Phillippe de Forcrand and many others for comments. See earlier discussion.\n\nOn the sign problem in d...	[ null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.9185783,"math_prob":0.916925,"size":1337,"snap":"2019-51-2020-05","text_gpt3_token_len":307,"char_repetition_ratio":0.090772696,"word_repetition_ratio":0.0,"special_character_ratio":0.21615557,"punctuation_ratio":0.10646388,"nsfw_num_words":1,"has_unicode_error":false,"math_prob_llama3":0.9793914,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2020-01-19T08:15:13Z\",\"WARC-Record-ID\":\"<urn:uuid:acd0ad3d-74f3-4201-95e3-91ea661c154c>\",\"Content-Length\":\"83108\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:ce67e93a-59f6-4e4a-a949-9e9aa0786f18>\",\"WARC-Concurrent-To\":\"<urn:uuid:ed6de08b-9d66-4c51-91f6-143afd6f0b28>\",\"WARC-IP-Address\":\"192.0.78.12\",\"WARC-Target-URI\":\"https://infoproc.wordpress.com/2008/10/02/sign-problem-in-qcd/\",\"WARC-Payload-Digest\":\"sha1:GSRJIZHCG5IU37FJN6P6HNBVQOHBI2PO\",\"WARC-Block-Digest\":\"sha1:YTCCENTKZZPQBWB5BFUVXMZZN4TJ6F3W\",\"WARC-Identified-Payload-Type\":\"application/xhtml+xml\",\"warc_filename\":\"/cc_download/warc_2020/CC-MAIN-2020-05/CC-MAIN-2020-05_segments_1579250594333.5_warc_CC-MAIN-20200119064802-20200119092802-00288.warc.gz\"}"}
http://keplarllp.com/what-is-iso-cost-line.html	[ "# What is iso cost line. What is isocost curve? 2019-01-13\n\nWhat is iso cost line Rating: 8,8/10 669 reviews\n\n## Iso", null, "This is known as the stage of diminishing returns. There is perfect competition in the factor market. The firm aims at profit maximisation. If the distance between those isoquants i...	[ null, "https://i.ytimg.com/vi/lpasskQKvF8/maxresdefault.jpg", null, "http://www.shareyouressays.com/wp-content/uploads/hindi/Short-note-on-Iso-Cost-Line-of-Optimum-C_A57A/clip_image002.jpg", null, "https://i.ytimg.com/vi/sj27WFj_ckM/maxresdefault.jpg", null, "https://usercontent1.hubstatic.com/8200032...	{"ft_lang_label":"__label__en","ft_lang_prob":0.92540586,"math_prob":0.91821826,"size":5749,"snap":"2022-27-2022-33","text_gpt3_token_len":1144,"char_repetition_ratio":0.15491731,"word_repetition_ratio":0.04127967,"special_character_ratio":0.1855975,"punctuation_ratio":0.076343074,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.96372104,"pos_list":[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16],"im_url_duplicate_count":[null,null,null,4,null,3,null,3,null,null,null,3,null,3,null,3,null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2022-08-12T05:55:11Z\",\"WARC-Record-ID\":\"<urn:uuid:0869b917-ce2e-4c5a-84e1-c5a84de6a839>\",\"Content-Length\":\"10307\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:825f6287-7194-4480-ae65-e13946926cb1>\",\"WARC-Concurrent-To\":\"<urn:uuid:c0f6bd78-0fcb-40c6-b612-c29a88df02d5>\",\"WARC-IP-Address\":\"52.216.137.243\",\"WARC-Target-URI\":\"http://keplarllp.com/what-is-iso-cost-line.html\",\"WARC-Payload-Digest\":\"sha1:2XUZJY3AAUJ2SFR7ZSAL5M43GMTZBTUR\",\"WARC-Block-Digest\":\"sha1:NAH5MAFJ3TAFPKBVV4XYC7YKW7S2LGZY\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2022/CC-MAIN-2022-33/CC-MAIN-2022-33_segments_1659882571584.72_warc_CC-MAIN-20220812045352-20220812075352-00363.warc.gz\"}"}
https://bulleintime.com/the-slopes/one-way-anova-calculation-example.php	[ "", null, "One-way ANOVA Power Analysis IDRE Stats Conduct and Interpret a Sequential One-Way Discriminant Analysis; Conduct and Interpret a One-Way ANOVA . Examples for typical questions the ANOVA answers are\n\n## ANOVA kean.edu\n\nSample Size Calculation for One-Way ANOVAs in. This tutorial will help you set...	[ null, "https://bulleintime.com/images/819255.jpg", null, "https://bulleintime.com/images/one-way-anova-calculation-example.jpg", null, "https://bulleintime.com/images/56279d8b8aa0ed8494d21e7409834d8e.png", null, "https://bulleintime.com/images/95e604d32f0e12b3e02e14ec08659519.jpg", null, "https://...	{"ft_lang_label":"__label__en","ft_lang_prob":0.8700751,"math_prob":0.9387477,"size":15608,"snap":"2021-43-2021-49","text_gpt3_token_len":3616,"char_repetition_ratio":0.22417329,"word_repetition_ratio":0.6996424,"special_character_ratio":0.20226806,"punctuation_ratio":0.09161334,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9996575,"pos_list":[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18],"im_url_duplicate_count":[null,2,null,2,null,2,null,2,null,2,null,2,null,2,null,2,null,2,null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2021-10-28T10:52:59Z\",\"WARC-Record-ID\":\"<urn:uuid:7b301a06-e4ad-4109-a1c8-dfb0186b30c0>\",\"Content-Length\":\"52341\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:c4691884-9aa5-4bc3-b1d1-51252d74efaa>\",\"WARC-Concurrent-To\":\"<urn:uuid:d41632ba-e30b-44e3-80bb-436d886688eb>\",\"WARC-IP-Address\":\"88.119.175.178\",\"WARC-Target-URI\":\"https://bulleintime.com/the-slopes/one-way-anova-calculation-example.php\",\"WARC-Payload-Digest\":\"sha1:YD4LFQZMY7IFP2NNF63MNGFMY2OUEPBC\",\"WARC-Block-Digest\":\"sha1:XB7KC2PZBNSWJXRYTTTTX7CZBJHKTKLK\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2021/CC-MAIN-2021-43/CC-MAIN-2021-43_segments_1634323588284.71_warc_CC-MAIN-20211028100619-20211028130619-00152.warc.gz\"}"}
https://www.watchguard.com/help/docs/help-center/en-US/Content/en-US/Fireware/multiwan/round_robin_assign_weights_c.html	[ "# Find How to Assign Weights to Interfaces\n\nIf you use Fireware with a Pro upgrade, you can assign a weight to each interface used in your round-robin multi-WAN configuration. By default, each interface has a weight of 1. The weight refers to the proportion of load that the Firebox sends through an interface.\n\...	[ null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.89588743,"math_prob":0.97739226,"size":1228,"snap":"2021-43-2021-49","text_gpt3_token_len":290,"char_repetition_ratio":0.12009804,"word_repetition_ratio":0.0,"special_character_ratio":0.254886,"punctuation_ratio":0.1484375,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9933562,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2021-10-27T19:45:31Z\",\"WARC-Record-ID\":\"<urn:uuid:4c694ee1-a026-449f-b3f4-45036bd46070>\",\"Content-Length\":\"20920\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:60a6701e-5ee4-4f27-a4eb-07ad2dd6885d>\",\"WARC-Concurrent-To\":\"<urn:uuid:3323cb69-2434-4256-803c-f63b93d02424>\",\"WARC-IP-Address\":\"104.17.60.6\",\"WARC-Target-URI\":\"https://www.watchguard.com/help/docs/help-center/en-US/Content/en-US/Fireware/multiwan/round_robin_assign_weights_c.html\",\"WARC-Payload-Digest\":\"sha1:NVWU7JK7OJEPPGTOTTIJQAGAE5PSLCSZ\",\"WARC-Block-Digest\":\"sha1:4NX77TMJBLLJG6GGDKUOTUDGP6QSQGOX\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2021/CC-MAIN-2021-43/CC-MAIN-2021-43_segments_1634323588242.22_warc_CC-MAIN-20211027181907-20211027211907-00441.warc.gz\"}"}
https://leadersedge.me/roman-bath-hmnec/second-line-of-balmer-series-545247	[ "### second line of balmer series\n\nIn spectral line series …the ultraviolet, whereas the Paschen, Brackett, and Pfund series lie in the infrared. (b) 20 27 × 4861 A o. Chemistry Bohr Model of the Atom Atoms and Electromagnetic Spectra. The wavelength of the first line is (a) $\\displaystyle \\frac{27}{20}\\times ...	[ null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.91092074,"math_prob":0.95875365,"size":15013,"snap":"2021-04-2021-17","text_gpt3_token_len":3968,"char_repetition_ratio":0.21660337,"word_repetition_ratio":0.15599705,"special_character_ratio":0.28049025,"punctuation_ratio":0.11199745,"nsfw_num_words":1,"has_unicode_error":false,"math_prob_llama3":0.98089355,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2021-04-21T20:21:19Z\",\"WARC-Record-ID\":\"<urn:uuid:74fa70b4-79d0-4d67-b758-bdcbbf9a641b>\",\"Content-Length\":\"79537\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:a65aa2fd-a693-4f0b-8a23-a744f37e291c>\",\"WARC-Concurrent-To\":\"<urn:uuid:c99a2be5-f296-4871-a44b-9ed93cd3fc8a>\",\"WARC-IP-Address\":\"35.209.125.39\",\"WARC-Target-URI\":\"https://leadersedge.me/roman-bath-hmnec/second-line-of-balmer-series-545247\",\"WARC-Payload-Digest\":\"sha1:GDV4BU6CC5EJIVGTO6IDOJMPI2FB2T56\",\"WARC-Block-Digest\":\"sha1:6OQ37OM4HAPQTAX3HW6SNNT4TIC53IAR\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2021/CC-MAIN-2021-17/CC-MAIN-2021-17_segments_1618039550330.88_warc_CC-MAIN-20210421191857-20210421221857-00377.warc.gz\"}"}
https://datascience.stackexchange.com/questions/76301/units-of-mean-decrease-accuracy-on-a-variable-importance-plot-obtained-from-a-ra	[ "# Units of mean decrease accuracy on a variable importance plot obtained from a Random Forests classifier?\n\nTo know the importance variable in a Random Forest I used The mean decrease accuracy and mean decrease Gini.\n\nI would like to understand what are the x-axis units of the mean decrease accuracy and mean d...	[ null, "https://i.stack.imgur.com/suNeD.png", null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.8356789,"math_prob":0.955055,"size":401,"snap":"2021-21-2021-25","text_gpt3_token_len":83,"char_repetition_ratio":0.18891688,"word_repetition_ratio":0.0952381,"special_character_ratio":0.21446384,"punctuation_ratio":0.06666667,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9949353,"pos_list":[0,1,2],"im_url_duplicate_count":[null,1,null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2021-05-06T11:01:08Z\",\"WARC-Record-ID\":\"<urn:uuid:09436440-5058-49c2-8872-aad683ace9a2>\",\"Content-Length\":\"170406\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:aa2c5f71-0572-40cf-a8c3-b09a71c57105>\",\"WARC-Concurrent-To\":\"<urn:uuid:33cbeb11-bc4b-4ae4-b4ff-af04cd917685>\",\"WARC-IP-Address\":\"151.101.129.69\",\"WARC-Target-URI\":\"https://datascience.stackexchange.com/questions/76301/units-of-mean-decrease-accuracy-on-a-variable-importance-plot-obtained-from-a-ra\",\"WARC-Payload-Digest\":\"sha1:OFUJGYVXBU7K2LH3MEGELEQISHTEJKT7\",\"WARC-Block-Digest\":\"sha1:OXBTG7VLESSLWRQNWJH2ZH2R5UR7J3YC\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2021/CC-MAIN-2021-21/CC-MAIN-2021-21_segments_1620243988753.91_warc_CC-MAIN-20210506083716-20210506113716-00037.warc.gz\"}"}
https://en.proft.me/2018/08/12/currying-function-kotlin/	[ "### Currying function in Kotlin Android12.08.2018\n\nCurrying is a common technique in functional programming. It allows transforming a given function that takes multiple arguments into a sequence of functions, each having a single argument. Each of the resulting functions handles one argument of the original (unc...	[ null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.7909792,"math_prob":0.967344,"size":1137,"snap":"2021-43-2021-49","text_gpt3_token_len":263,"char_repetition_ratio":0.16769639,"word_repetition_ratio":0.09090909,"special_character_ratio":0.24890062,"punctuation_ratio":0.13274336,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9980126,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2021-11-29T14:53:43Z\",\"WARC-Record-ID\":\"<urn:uuid:87bc04c1-234e-429f-bd4b-b8dbd7ad8a69>\",\"Content-Length\":\"18398\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:2bf97a3b-5b1e-44e5-8f6b-dfd46f86778f>\",\"WARC-Concurrent-To\":\"<urn:uuid:fcdf8a5e-9107-449b-9ec8-09d24f890280>\",\"WARC-IP-Address\":\"91.235.128.229\",\"WARC-Target-URI\":\"https://en.proft.me/2018/08/12/currying-function-kotlin/\",\"WARC-Payload-Digest\":\"sha1:BS42MVNN4CAF4BZZ7WZR3SXDUTA7IDNO\",\"WARC-Block-Digest\":\"sha1:WFWDXYC34Y5R6BYR6TYLTTB5DCXYBJOE\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2021/CC-MAIN-2021-49/CC-MAIN-2021-49_segments_1637964358774.44_warc_CC-MAIN-20211129134323-20211129164323-00169.warc.gz\"}"}
https://www.fixya.com/support/t7978431-button_push	[ "Question about Texas Instruments TI-86 Calculator\n\n# What button do you push on the TI-86 calculator to do the inv log function?\n\nPosted by on\n\n### kakima\n\n• Level 3:\n\nAn expert who has achieved level 3 by getting 1000 points\n\nOne Above All:\n\nThe expert with highest point at the last day of the past ...	[ null, "data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAQAAAC1HAwCAAAAC0lEQVR42mOsrwcAAYMBABbFvRQAAAAASUVORK5CYII=", null, "data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAQAAAC1HAwCAAAAC0lEQVR42mOsrwcAAYMBABbFvRQAAAAASUVORK5CYII=", null, "data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAA...	{"ft_lang_label":"__label__en","ft_lang_prob":0.688854,"math_prob":0.93384606,"size":988,"snap":"2020-34-2020-40","text_gpt3_token_len":282,"char_repetition_ratio":0.21341464,"word_repetition_ratio":0.1411043,"special_character_ratio":0.33299595,"punctuation_ratio":0.114754096,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.973122,"pos_list":[0,1,2,3,4,5,6],"im_url_duplicate_count":[null,null,null,null,null,null,null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2020-08-05T21:59:22Z\",\"WARC-Record-ID\":\"<urn:uuid:e5d73199-8164-44d5-bfb7-635da57c8257>\",\"Content-Length\":\"171309\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:7f326c9a-9048-4a25-a88e-04ffa16aa110>\",\"WARC-Concurrent-To\":\"<urn:uuid:30fb7a69-b546-4e19-ab0f-a0561ce8abc3>\",\"WARC-IP-Address\":\"104.18.18.77\",\"WARC-Target-URI\":\"https://www.fixya.com/support/t7978431-button_push\",\"WARC-Payload-Digest\":\"sha1:QZVQ5GEFHKMWAG6XSLSLDHUZQ6BLMVKE\",\"WARC-Block-Digest\":\"sha1:SAWDIHDQ7MMFB3JQ4GUTDDYWXWSG45CH\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2020/CC-MAIN-2020-34/CC-MAIN-2020-34_segments_1596439735989.10_warc_CC-MAIN-20200805212258-20200806002258-00363.warc.gz\"}"}
https://socratic.org/questions/how-do-you-solve-14-2x-2-4#598041	[ "# How do you solve 14> - 2x + 2> - 4?\n\nApr 19, 2018\n\n$x \\in \\left(- 6 , 3\\right)$\n\n#### Explanation:\n\n$\\text{subtract 2 from each interval}$\n\n$14 \\textcolor{red}{- 2} > - 2 x \\cancel{+ 2} \\cancel{\\textcolor{red}{- 2}} > - 4 \\textcolor{red}{- 2}$\n\n$\\Rightarrow 12 > - 2 x > - 6$\n\n$\\text{divi...	[ null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.5214591,"math_prob":0.99876416,"size":485,"snap":"2022-27-2022-33","text_gpt3_token_len":163,"char_repetition_ratio":0.13097712,"word_repetition_ratio":0.0,"special_character_ratio":0.3628866,"punctuation_ratio":0.047058824,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9928811,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2022-06-29T03:07:32Z\",\"WARC-Record-ID\":\"<urn:uuid:a74e996f-49d7-4c42-8b29-c7c8db58a76a>\",\"Content-Length\":\"32976\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:f7cb8ff3-53a0-44e3-8135-7ac9fa11dcbd>\",\"WARC-Concurrent-To\":\"<urn:uuid:c5f1947c-bab6-4ee8-a062-7e0d099df0a0>\",\"WARC-IP-Address\":\"216.239.34.21\",\"WARC-Target-URI\":\"https://socratic.org/questions/how-do-you-solve-14-2x-2-4#598041\",\"WARC-Payload-Digest\":\"sha1:PYNM63SKL4NIMFKHFROCF74ZQ7AVRCVE\",\"WARC-Block-Digest\":\"sha1:BUFFJVIHFHO4NRR63BQK4CEPAWQEF6DU\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2022/CC-MAIN-2022-27/CC-MAIN-2022-27_segments_1656103620968.33_warc_CC-MAIN-20220629024217-20220629054217-00366.warc.gz\"}"}
https://docs.appian.com/suite/help/19.1/fnc_statistical_stdev.html	[ "stdev() Function\n\nReturns the standard deviation of the specified number(s).\n\n## Syntax\n\nstdev( number, … )\n\nnumber: (Decimal Array) A member or array of members of the set from which the standard deviation will be calculated.\n\nDecimal\n\n## Examples\n\nYou can experiment with this function in the test b...	[ null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.70246834,"math_prob":0.91763717,"size":320,"snap":"2021-04-2021-17","text_gpt3_token_len":79,"char_repetition_ratio":0.12658228,"word_repetition_ratio":0.0,"special_character_ratio":0.25,"punctuation_ratio":0.13846155,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9788147,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2021-01-18T10:21:12Z\",\"WARC-Record-ID\":\"<urn:uuid:9d787cdd-7bec-451b-98a9-a4efb464012f>\",\"Content-Length\":\"21450\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:c29b947f-b891-414c-9f94-2f603269aa28>\",\"WARC-Concurrent-To\":\"<urn:uuid:94a8590e-5b4b-4a0f-b825-087da1f342a2>\",\"WARC-IP-Address\":\"52.1.35.65\",\"WARC-Target-URI\":\"https://docs.appian.com/suite/help/19.1/fnc_statistical_stdev.html\",\"WARC-Payload-Digest\":\"sha1:WKFEPOHQ4IXVRK5SLLRESWD5TQ2PBMRD\",\"WARC-Block-Digest\":\"sha1:ABBAOJUXB7LLE4BNDNDW2OJVMKTHFTVF\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2021/CC-MAIN-2021-04/CC-MAIN-2021-04_segments_1610703514495.52_warc_CC-MAIN-20210118092350-20210118122350-00798.warc.gz\"}"}
https://mdtpmodules.org/fngr/fngr-1/lesson-4/explore-2/	[ "# FNGR 1 \| Lesson 4 \| Explore (Vertical Translations)", null, "# Vertical Translations\n\nA vertical transformation occurs when we add or subtract a constant value from the outputs, or the function itself. It is represented as either $$f(x)+k$$ or $$f(x)-k$$.\n\nExample:\n\nThe parent function for the exponent...	[ null, "https://i2.wp.com/mdtpmodules.org/wp-content/uploads/2017/09/Explore.png", null, "https://i2.wp.com/mdtpmodules.org/wp-content/uploads/2018/01/fngr1-l4-explore2-1.png", null, "https://i1.wp.com/mdtpmodules.org/wp-content/uploads/2018/01/fngr1-l4-explore2-2.png", null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.82355297,"math_prob":1.00001,"size":586,"snap":"2021-31-2021-39","text_gpt3_token_len":142,"char_repetition_ratio":0.13573883,"word_repetition_ratio":0.0,"special_character_ratio":0.25255972,"punctuation_ratio":0.09917355,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":1.0000083,"pos_list":[0,1,2,3,4,5,6],"im_url_duplicate_count":[null,null,null,3,null,3,null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2021-09-22T20:37:59Z\",\"WARC-Record-ID\":\"<urn:uuid:5a23273a-04b3-43ec-bfc7-f88c359532ca>\",\"Content-Length\":\"71557\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:38db601a-93e5-4a4c-8346-823aa9b7e81e>\",\"WARC-Concurrent-To\":\"<urn:uuid:66da9d3f-00b8-4699-8d11-bc1a5322f33f>\",\"WARC-IP-Address\":\"192.0.78.141\",\"WARC-Target-URI\":\"https://mdtpmodules.org/fngr/fngr-1/lesson-4/explore-2/\",\"WARC-Payload-Digest\":\"sha1:IJUXPKPZUYECKJQUYQ4XKB2HCUUELVVI\",\"WARC-Block-Digest\":\"sha1:XTNCGQAX7WRBKIMXAUVUNSRZKQHQ2QLY\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2021/CC-MAIN-2021-39/CC-MAIN-2021-39_segments_1631780057388.12_warc_CC-MAIN-20210922193630-20210922223630-00342.warc.gz\"}"}
https://mathoverflow.net/questions/418655/different-definition-of-cox-rings	[ "# Different definition of Cox rings\n\nDefinition: Let $$X$$ be a normal projective variety with finitely generated Picard group. Define the Cox ring of $$X$$ as the multisection ring $$\\text{Cox}(X)=\\bigoplus_{(m_1,\\ldots,m_k)\\in \\mathbb{N}^k} \\text{H}^0(X,m_1L_1+\\ldots+m_kL_k),$$ where $$L_1,\\ldots,L_k$$...	[ null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.9607003,"math_prob":0.9971978,"size":1237,"snap":"2022-40-2023-06","text_gpt3_token_len":332,"char_repetition_ratio":0.089213304,"word_repetition_ratio":0.0,"special_character_ratio":0.2506063,"punctuation_ratio":0.107569724,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.99968636,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2023-01-30T04:50:21Z\",\"WARC-Record-ID\":\"<urn:uuid:a3ebb2b2-76b5-4275-a69a-87a52bd10820>\",\"Content-Length\":\"111760\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:1c67c0da-a8eb-4499-8cf3-b0c72a95b267>\",\"WARC-Concurrent-To\":\"<urn:uuid:2c84f88e-48e5-424c-b25d-ac6fca237bcf>\",\"WARC-IP-Address\":\"151.101.193.69\",\"WARC-Target-URI\":\"https://mathoverflow.net/questions/418655/different-definition-of-cox-rings\",\"WARC-Payload-Digest\":\"sha1:JZQ5FZBZRWYNAVLTDKUAWCPA5VKWHJ7R\",\"WARC-Block-Digest\":\"sha1:CDSMKICDIGYNPG3K7TMFHWSC2IAXYBIM\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2023/CC-MAIN-2023-06/CC-MAIN-2023-06_segments_1674764499801.40_warc_CC-MAIN-20230130034805-20230130064805-00502.warc.gz\"}"}
https://sourcescodes.com/qa/question-what-is-the-hcf-of-5-and-15.html	[ "", null, "# Question: What Is The HCF Of 5 And 15?\n\n## What is the HCF of 5 and 25?\n\nThe hcf(25,35) is 5 ..\n\n## What is the HCF of 18 and 24?\n\nWe found the factors and prime factorization of 18 and 24. The biggest common factor number is the GCF number. So the greatest common factor 18 and 24 is 6.\n\n...	[ null, "https://mc.yandex.ru/watch/66676336", null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.9452121,"math_prob":0.9785476,"size":3892,"snap":"2021-04-2021-17","text_gpt3_token_len":1319,"char_repetition_ratio":0.28317901,"word_repetition_ratio":0.3919075,"special_character_ratio":0.36587873,"punctuation_ratio":0.123316064,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.99996734,"pos_list":[0,1,2],"im_url_duplicate_count":[null,null,null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2021-01-22T06:21:11Z\",\"WARC-Record-ID\":\"<urn:uuid:f690a26f-078a-49c0-b7d3-510742d2a5bf>\",\"Content-Length\":\"36136\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:fcf73d82-d480-449c-a57a-50e768834010>\",\"WARC-Concurrent-To\":\"<urn:uuid:6a13da58-a5dd-4f7e-8f47-91d0b3664af9>\",\"WARC-IP-Address\":\"87.236.16.235\",\"WARC-Target-URI\":\"https://sourcescodes.com/qa/question-what-is-the-hcf-of-5-and-15.html\",\"WARC-Payload-Digest\":\"sha1:GHIEQOMKBJSIMDIXHAMGMW7RVWZMJ2BS\",\"WARC-Block-Digest\":\"sha1:OLCQE5WQFAU3PXVCGG4QM2KOHR24DOKN\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2021/CC-MAIN-2021-04/CC-MAIN-2021-04_segments_1610703529128.47_warc_CC-MAIN-20210122051338-20210122081338-00655.warc.gz\"}"}
https://www.chemeurope.com/en/encyclopedia/Photoelectric_effect.html	[ "My watch list\nmy.chemeurope.com\n\n# Photoelectric effect\n\nThe photoelectric effect is a quantum electronic phenomenon in which electrons are emitted from matter after the absorption of energy from electromagnetic radiation such as x-rays or visible light. The emitted electrons can be referred to as photoelectr...	[ null, "https://www.chemeurope.com/en/encyclopedia/images/math/b/d/4/bd44368c6a5fe759a79feb0cac2e05a4.png ", null, "https://www.chemeurope.com/en/encyclopedia/images/math/5/d/8/5d8a2003c9f9e7c7753204cd909f88fe.png ", null, "https://www.chemeurope.com/en/encyclopedia/images/math/3/6/9/3698e4db58b01560027b7e...	{"ft_lang_label":"__label__en","ft_lang_prob":0.93051654,"math_prob":0.9246814,"size":17428,"snap":"2019-51-2020-05","text_gpt3_token_len":3436,"char_repetition_ratio":0.17613636,"word_repetition_ratio":0.03907114,"special_character_ratio":0.18579298,"punctuation_ratio":0.08461026,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.95747256,"pos_list":[0,1,2,3,4,5,6,7,8],"im_url_duplicate_count":[null,5,null,5,null,5,null,5,null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2019-12-06T15:32:47Z\",\"WARC-Record-ID\":\"<urn:uuid:bddebd98-26b0-4b0a-90c5-af2318d21535>\",\"Content-Length\":\"92114\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:9aab8b18-30b6-438f-9bcb-d226c85ebc94>\",\"WARC-Concurrent-To\":\"<urn:uuid:d69a3b78-561a-42b9-94d5-1a60bf11a860>\",\"WARC-IP-Address\":\"85.158.2.220\",\"WARC-Target-URI\":\"https://www.chemeurope.com/en/encyclopedia/Photoelectric_effect.html\",\"WARC-Payload-Digest\":\"sha1:UPVWJHAH2CZEXZWDFUOMDKF6BHAD2UMM\",\"WARC-Block-Digest\":\"sha1:4TCEV4XD3EJJE4U7QBBKHZB7SVCZ2SEZ\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2019/CC-MAIN-2019-51/CC-MAIN-2019-51_segments_1575540488870.33_warc_CC-MAIN-20191206145958-20191206173958-00185.warc.gz\"}"}
https://www.quizzes.cc/calculator/speed/meters-per-second/800	[ "### How fast is 800 meters per second?\n\nConvert 800 meters per second. How much is 800 meters per second? What is 800 meters per second in other units? Convert to kmh, mph, feet per second, cm per second, knots, and meters per second. To calculate, enter your desired inputs, then click calculate.\n\n### Summary\...	[ null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.7029589,"math_prob":0.9987198,"size":370,"snap":"2022-40-2023-06","text_gpt3_token_len":91,"char_repetition_ratio":0.28961748,"word_repetition_ratio":0.32786885,"special_character_ratio":0.25405404,"punctuation_ratio":0.21686748,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9979658,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2022-09-27T21:15:16Z\",\"WARC-Record-ID\":\"<urn:uuid:92ec4184-af32-4c29-b48b-e08868fa4f0f>\",\"Content-Length\":\"7985\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:e45e89f7-138f-40d5-9fad-2db19325384d>\",\"WARC-Concurrent-To\":\"<urn:uuid:48d24bd9-1726-4686-98cc-d263a390b5e7>\",\"WARC-IP-Address\":\"3.93.199.172\",\"WARC-Target-URI\":\"https://www.quizzes.cc/calculator/speed/meters-per-second/800\",\"WARC-Payload-Digest\":\"sha1:3FWE5RDFAVCUZD5IOSYDBQABS6YC2XWI\",\"WARC-Block-Digest\":\"sha1:U3ACXXHTPETLGN3FSRA4IQPTVUBU5PQW\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2022/CC-MAIN-2022-40/CC-MAIN-2022-40_segments_1664030335058.80_warc_CC-MAIN-20220927194248-20220927224248-00072.warc.gz\"}"}
https://cs.nyu.edu/pipermail/fom/2012-July/016552.html	[ "# [FOM] ACA\n\npax0 at seznam.cz pax0 at seznam.cz\nMon Jul 9 10:09:52 EDT 2012\n\n```Suppose we have the comprehention scheme in Z_2\nEXAn(n in X <--> phi(n))\nand phi is not Arithmetical.\n\nAre there some trivial cases in which we can make phi arithmetical by pushing\nsome quantifiers in front of the whole form...	[ null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.7825675,"math_prob":0.9417801,"size":612,"snap":"2021-31-2021-39","text_gpt3_token_len":163,"char_repetition_ratio":0.118421055,"word_repetition_ratio":0.01980198,"special_character_ratio":0.23366013,"punctuation_ratio":0.09016393,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.99229354,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2021-07-29T15:55:02Z\",\"WARC-Record-ID\":\"<urn:uuid:731d840c-cb8c-4507-92aa-717aead60eb5>\",\"Content-Length\":\"3155\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:c9fe2c92-37fa-43ad-b146-9a1abb2f7214>\",\"WARC-Concurrent-To\":\"<urn:uuid:6508aea5-3a6a-449d-b15d-8988db2579b6>\",\"WARC-IP-Address\":\"216.165.22.203\",\"WARC-Target-URI\":\"https://cs.nyu.edu/pipermail/fom/2012-July/016552.html\",\"WARC-Payload-Digest\":\"sha1:LEAMKU56MZXWYYXWTQD7PLOP6VZITHMT\",\"WARC-Block-Digest\":\"sha1:4TIZOJRP4YHO7Q2KO37UAXXELY3U2UHR\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2021/CC-MAIN-2021-31/CC-MAIN-2021-31_segments_1627046153860.57_warc_CC-MAIN-20210729140649-20210729170649-00361.warc.gz\"}"}
https://www.hscripts.com/tutorials/php/array/sizeof.php	[ "English\n\n# Php Array sizeof Function\n\nWhat is sizeof Function?\n\n## Explanation\n\nThe \"size of\" function is the alias of count() function.\n\n### Syntax:\n\nsizeof(array1,array2)\n\nIn the above syntax \"array\" is the array to count, there is a parameter \"mode\" which can have \"0\" by default doesnt det...	[ null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.6538208,"math_prob":0.95744044,"size":535,"snap":"2021-04-2021-17","text_gpt3_token_len":137,"char_repetition_ratio":0.1299435,"word_repetition_ratio":0.0,"special_character_ratio":0.27663553,"punctuation_ratio":0.1588785,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.96580195,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2021-04-18T11:49:10Z\",\"WARC-Record-ID\":\"<urn:uuid:c2f6da79-1de6-4b8e-a574-cb1fba80ea9b>\",\"Content-Length\":\"67319\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:906cc951-8451-4167-add7-c3bb07087a7d>\",\"WARC-Concurrent-To\":\"<urn:uuid:74584041-95e7-4e8b-801f-1607afda54f5>\",\"WARC-IP-Address\":\"66.228.40.80\",\"WARC-Target-URI\":\"https://www.hscripts.com/tutorials/php/array/sizeof.php\",\"WARC-Payload-Digest\":\"sha1:EIE2AKEYT27W3OAMMXJDI2F7JJF3B4EE\",\"WARC-Block-Digest\":\"sha1:ZQ5TW23G6KDG5F26KAFOZ2K6OIYKKYDB\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2021/CC-MAIN-2021-17/CC-MAIN-2021-17_segments_1618038476606.60_warc_CC-MAIN-20210418103545-20210418133545-00510.warc.gz\"}"}
http://stronki.info/line-plot-worksheets-for-3rd-grade/line-plot-worksheets-for-3rd-grade-grade-math-line-plots-fractions-plot-measurement-and-data-worksheets-fraction-line-plot-worksheets-3rd-grade/	[ "# Line Plot Worksheets For 3rd Grade Grade Math Line Plots Fractions Plot Measurement And Data Worksheets Fraction Line Plot Worksheets 3rd Grade", null, "line plot worksheets for 3rd grade grade math line plots fractions plot measurement and data worksheets fraction line plot worksheets 3rd grade.\n\nfraction...	[ null, "http://stronki.info/wp-content/uploads/2018/08/line-plot-worksheets-for-3rd-grade-grade-math-line-plots-fractions-plot-measurement-and-data-worksheets-fraction-line-plot-worksheets-3rd-grade.jpg", null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.87200683,"math_prob":0.9341006,"size":845,"snap":"2019-13-2019-22","text_gpt3_token_len":165,"char_repetition_ratio":0.29845423,"word_repetition_ratio":0.14876033,"special_character_ratio":0.17514794,"punctuation_ratio":0.07746479,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9998352,"pos_list":[0,1,2],"im_url_duplicate_count":[null,1,null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2019-05-21T15:56:11Z\",\"WARC-Record-ID\":\"<urn:uuid:51c114e8-a196-4d6d-8e9c-ff4e07bfd9e9>\",\"Content-Length\":\"62172\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:71723c9a-44d4-444b-a880-de6f8ed0160f>\",\"WARC-Concurrent-To\":\"<urn:uuid:30a6b655-1cb1-4461-8a54-9c08fff70212>\",\"WARC-IP-Address\":\"104.27.148.159\",\"WARC-Target-URI\":\"http://stronki.info/line-plot-worksheets-for-3rd-grade/line-plot-worksheets-for-3rd-grade-grade-math-line-plots-fractions-plot-measurement-and-data-worksheets-fraction-line-plot-worksheets-3rd-grade/\",\"WARC-Payload-Digest\":\"sha1:7TY6QRESHBLUENJDB2ZSYIAKNSTWYAD2\",\"WARC-Block-Digest\":\"sha1:BXS7EJF2QU72YXJCXPC5LXA4Z2C3LNEK\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2019/CC-MAIN-2019-22/CC-MAIN-2019-22_segments_1558232256426.13_warc_CC-MAIN-20190521142548-20190521164548-00355.warc.gz\"}"}