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https://www.r-bloggers.com/2009/09/power-analysis-for-mixed-effect-models-in-r/	[ "Want to share your content on R-bloggers? click here if you have a blog, or here if you don't.\n\nThe power of a statistical test is the probability that a null hypothesis will be rejected when the alternative hypothesis is true. In lay terms, power is your ability to refine or “prove” your expectations from the d...	[ null, "https://i2.wp.com/toddjobe.blogspot.com/2009/09/ltxpng/powerAnalysis_0001.png", null, "https://i2.wp.com/toddjobe.blogspot.com/2009/09/ltxpng/powerAnalysis_0002.png", null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.8126074,"math_prob":0.98227674,"size":12511,"snap":"2022-05-2022-21","text_gpt3_token_len":3264,"char_repetition_ratio":0.11809387,"word_repetition_ratio":0.031538088,"special_character_ratio":0.27759573,"punctuation_ratio":0.1543332,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9973056,"pos_list":[0,1,2,3,4],"im_url_duplicate_count":[null,3,null,6,null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2022-05-27T12:29:18Z\",\"WARC-Record-ID\":\"<urn:uuid:ce60ff46-f74a-46ea-98ff-90dc818395ce>\",\"Content-Length\":\"111180\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:cbf9754d-4385-4b99-b29b-f56382028778>\",\"WARC-Concurrent-To\":\"<urn:uuid:2091afd8-9ae6-430b-a6d4-f5dc5e6a9be6>\",\"WARC-IP-Address\":\"172.64.104.18\",\"WARC-Target-URI\":\"https://www.r-bloggers.com/2009/09/power-analysis-for-mixed-effect-models-in-r/\",\"WARC-Payload-Digest\":\"sha1:VKYJ6CVGJRMQL2DKK3BF7VHMIBOICW5U\",\"WARC-Block-Digest\":\"sha1:LVJQEWZ7VZ7RCNKVP47GIFH3GN3RPSVB\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2022/CC-MAIN-2022-21/CC-MAIN-2022-21_segments_1652662647086.91_warc_CC-MAIN-20220527112418-20220527142418-00374.warc.gz\"}"}
https://russianpatents.com/patent/221/2214680.html	[ "Way to normalize the metric values of the component decoder in a mobile communication system and device for its implementation\n\nThe invention relates to communication systems and can be used in means of mobile communication. The technical result is to use changes in the set of metrics on the set of time segments...	[ null, "https://img.russianpatents.com/img_data/65/658960.gif", null, "https://img.russianpatents.com/chr/916.gif", null, "https://img.russianpatents.com/chr/916.gif", null, "https://img.russianpatents.com/chr/8804.gif", null, "https://img.russianpatents.com/chr/916.gif", null, "https://img.rus...	{"ft_lang_label":"__label__en","ft_lang_prob":0.8762438,"math_prob":0.97096294,"size":27281,"snap":"2019-26-2019-30","text_gpt3_token_len":5829,"char_repetition_ratio":0.16149136,"word_repetition_ratio":0.072443515,"special_character_ratio":0.21007295,"punctuation_ratio":0.108457714,"nsfw_num_words":1,"has_unicode_error":false,"math_prob_llama3":0.9846552,"pos_list":[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146],"im_url_duplicate_count":[null,1,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,1,null,1,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,1,null,1,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,3,null,4,null,6,null,3,null,3,null,null,null,null,null,null,null,10,null,9,null,9,null,null,null,8,null,8,null,8,null,null,null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2019-06-20T02:08:08Z\",\"WARC-Record-ID\":\"<urn:uuid:759d15de-bff2-4401-9b6c-d570956f4d62>\",\"Content-Length\":\"85502\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:7153b383-4df2-4513-864e-14f81062119f>\",\"WARC-Concurrent-To\":\"<urn:uuid:87646a70-7da6-4dd9-8d43-091c9a34b0df>\",\"WARC-IP-Address\":\"45.32.90.106\",\"WARC-Target-URI\":\"https://russianpatents.com/patent/221/2214680.html\",\"WARC-Payload-Digest\":\"sha1:3MFIT335WHOPDBFXYOESHU3LPBDJYJPF\",\"WARC-Block-Digest\":\"sha1:4PKJWXUTIZGSD5EEMMRV2AUNJXHSUQSM\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2019/CC-MAIN-2019-26/CC-MAIN-2019-26_segments_1560627999130.50_warc_CC-MAIN-20190620004625-20190620030625-00223.warc.gz\"}"}
https://itprospt.com/num/20695790/show-that-the-setb-x27-1-1-2-1-1-1-4-3-1-2-0-3-1-2-2-0-basis	[ "1\n\n# Show that the setB' = {(1,-1,2,1), (1,1,-4,3),(1,2,0.3), (1,2,-2,0)}basis for R\"...\n\n## Question\n\n###### Show that the setB' = {(1,-1,2,1), (1,1,-4,3),(1,2,0.3), (1,2,-2,0)}basis for R\"\n\nShow that the set B' = {(1,-1,2,1), (1,1,-4,3),(1,2,0.3), (1,2,-2,0)} basis for R\"", null, "", null, "##...	[ null, "https://cdn.numerade.com/ask_images/abc14d350605460ba3cd6c4b554c94da.jpg ", null, "https://cdn.numerade.com/previews/1f9a1d05-bbda-4b8e-ac1d-e0fb388c715e_large.jpg", null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.8163194,"math_prob":0.9813712,"size":10147,"snap":"2022-40-2023-06","text_gpt3_token_len":3120,"char_repetition_ratio":0.11071675,"word_repetition_ratio":0.59598345,"special_character_ratio":0.288164,"punctuation_ratio":0.13225499,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.995507,"pos_list":[0,1,2,3,4],"im_url_duplicate_count":[null,1,null,2,null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2022-10-06T13:33:03Z\",\"WARC-Record-ID\":\"<urn:uuid:43705ac2-f548-424a-8bb3-ae6a3fe25d93>\",\"Content-Length\":\"53479\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:e45d648b-f1db-4adc-ba8a-8d1a7a2c3109>\",\"WARC-Concurrent-To\":\"<urn:uuid:7802d4f7-7c23-4718-bcde-3bed59d7f96f>\",\"WARC-IP-Address\":\"104.26.6.163\",\"WARC-Target-URI\":\"https://itprospt.com/num/20695790/show-that-the-setb-x27-1-1-2-1-1-1-4-3-1-2-0-3-1-2-2-0-basis\",\"WARC-Payload-Digest\":\"sha1:UQLRR4MBPDJXKX62SXKQ7PFQ4PVCXK3Q\",\"WARC-Block-Digest\":\"sha1:LHCZZTXRMPCMA6DGCTZAWWNU2FOAHCCL\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2022/CC-MAIN-2022-40/CC-MAIN-2022-40_segments_1664030337836.93_warc_CC-MAIN-20221006124156-20221006154156-00273.warc.gz\"}"}
https://www.wowebook.com/book/excel-2013-formulas/	[ "# Excel 2013 Formulas", null, "Maximize the power of Excel 2013 formulas with this must-have Excel reference\n\nJohn Walkenbach, known as “Mr. Spreadsheet,” is a master at deciphering complex technical topics and Excel formulas are no exception. This fully updated book delivers more than 800 pages of Excel 201...	[ null, "http://img.wowebook.com/images/2038502170.jpg", null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.67605716,"math_prob":0.4453315,"size":2534,"snap":"2021-21-2021-25","text_gpt3_token_len":590,"char_repetition_ratio":0.186166,"word_repetition_ratio":0.0,"special_character_ratio":0.2190213,"punctuation_ratio":0.13551402,"nsfw_num_words":1,"has_unicode_error":false,"math_prob_llama3":0.99001837,"pos_list":[0,1,2],"im_url_duplicate_count":[null,7,null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2021-05-16T12:59:01Z\",\"WARC-Record-ID\":\"<urn:uuid:8a850e7b-eeaa-4e9a-9787-99f0b1e6d871>\",\"Content-Length\":\"35846\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:038a577a-be17-4e3d-9afb-6219098da31b>\",\"WARC-Concurrent-To\":\"<urn:uuid:f9450147-0ad2-40f2-ab91-a2bc0edafae9>\",\"WARC-IP-Address\":\"172.67.133.191\",\"WARC-Target-URI\":\"https://www.wowebook.com/book/excel-2013-formulas/\",\"WARC-Payload-Digest\":\"sha1:KCY2ESPIA66YVDRE6HUSWURWPHCFCJ5V\",\"WARC-Block-Digest\":\"sha1:JZKZPN6RYVVEUZ3IXZDXJ4NEOGSWMIK6\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2021/CC-MAIN-2021-21/CC-MAIN-2021-21_segments_1620243991269.57_warc_CC-MAIN-20210516105746-20210516135746-00107.warc.gz\"}"}
https://www.arxiv-vanity.com/papers/gr-qc/0005086/	[ "# A class of perfect-fluid cosmologies with polarised Gowdy symmetry and a Kasner-like singularity\n\nKeith Anguige\n###### Abstract\n\nWe prove the existence of a class of perfect-fluid cosmologies which have polarised Gowdy symmetry and a Kasner like singularity. These solutions of the Einstein equations depend ...	[ null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.874589,"math_prob":0.9996031,"size":4659,"snap":"2022-40-2023-06","text_gpt3_token_len":1088,"char_repetition_ratio":0.13834587,"word_repetition_ratio":0.026143791,"special_character_ratio":0.25241467,"punctuation_ratio":0.055622734,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9976473,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2023-02-01T16:08:00Z\",\"WARC-Record-ID\":\"<urn:uuid:63162cf6-bdb6-4681-9dc1-d5e210d7e145>\",\"Content-Length\":\"925843\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:6db5e8e0-0530-42a5-9ff0-b7fb9ced2f19>\",\"WARC-Concurrent-To\":\"<urn:uuid:80bef897-013c-47c6-835c-ba34ca4e0e50>\",\"WARC-IP-Address\":\"172.67.158.169\",\"WARC-Target-URI\":\"https://www.arxiv-vanity.com/papers/gr-qc/0005086/\",\"WARC-Payload-Digest\":\"sha1:X3NHTYMLD4CRL4JXBYOW7N3NMT6DTQLY\",\"WARC-Block-Digest\":\"sha1:Z62AB4BE24S326HDSA75CITGHB6GV3DV\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2023/CC-MAIN-2023-06/CC-MAIN-2023-06_segments_1674764499946.80_warc_CC-MAIN-20230201144459-20230201174459-00328.warc.gz\"}"}
https://www.colorhexa.com/5b698e	[ "# #5b698e Color Information\n\nIn a RGB color space, hex #5b698e is composed of 35.7% red, 41.2% green and 55.7% blue. Whereas in a CMYK color space, it is composed of 35.9% cyan, 26.1% magenta, 0% yellow and 44.3% black. It has a hue angle of 223.5 degrees, a saturation of 21.9% and a lightness of 45.7%. #5b698e ...	[ null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.50437844,"math_prob":0.6499177,"size":3719,"snap":"2021-43-2021-49","text_gpt3_token_len":1683,"char_repetition_ratio":0.12113055,"word_repetition_ratio":0.011070111,"special_character_ratio":0.5574079,"punctuation_ratio":0.23756906,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9895715,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2021-12-06T20:54:00Z\",\"WARC-Record-ID\":\"<urn:uuid:71aa1e59-95cd-435e-b3eb-8d079ac2826a>\",\"Content-Length\":\"36207\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:267e4882-bcff-456b-8d27-9caff7543672>\",\"WARC-Concurrent-To\":\"<urn:uuid:7a79c3ef-94d2-485a-a177-80c6efeb2d5f>\",\"WARC-IP-Address\":\"178.32.117.56\",\"WARC-Target-URI\":\"https://www.colorhexa.com/5b698e\",\"WARC-Payload-Digest\":\"sha1:B3BLEYQZHOZCFSRISZRJGYUECLTQUMKI\",\"WARC-Block-Digest\":\"sha1:4OEXYKZGOQD6BDIJMRSKIUK73LKJVQKU\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2021/CC-MAIN-2021-49/CC-MAIN-2021-49_segments_1637964363312.79_warc_CC-MAIN-20211206194128-20211206224128-00023.warc.gz\"}"}
https://www.onlinemathlearning.com/area-perimeter-4md3.html	[ "", null, "# Area & Perimeter of Rectangles (Grade 4)\n\nRelated Topics:\nLesson Plans and Worksheets for Grade 4\nLesson Plans and Worksheets for all Grades\n\nVideos, examples, solutions, and lessons to help Grade 4 students learn to apply the area and perimeter formulas for rectangles in real world and mathe...	[ null, "https://www.onlinemathlearning.com/objects/default_image.gif", null, "https://www.onlinemathlearning.com/objects/default_image.gif", null, "https://www.onlinemathlearning.com/objects/default_image.gif", null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.85775566,"math_prob":0.92255163,"size":2083,"snap":"2020-45-2020-50","text_gpt3_token_len":458,"char_repetition_ratio":0.12169312,"word_repetition_ratio":0.0056497175,"special_character_ratio":0.21363418,"punctuation_ratio":0.12224939,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9898071,"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\":\"2020-11-28T23:34:15Z\",\"WARC-Record-ID\":\"<urn:uuid:34eb4d32-c3e0-4195-9215-32916ab519ca>\",\"Content-Length\":\"44516\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:227e07a3-881a-482a-ae0b-a1413d044231>\",\"WARC-Concurrent-To\":\"<urn:uuid:e84e8650-7b3b-49e9-a898-cfff09e0d2b9>\",\"WARC-IP-Address\":\"173.247.219.45\",\"WARC-Target-URI\":\"https://www.onlinemathlearning.com/area-perimeter-4md3.html\",\"WARC-Payload-Digest\":\"sha1:UXIHUHOAO6WNPXPNOIQQCAYX23PMCMQJ\",\"WARC-Block-Digest\":\"sha1:NDKJAC6ZKYAA35DHBBDV7Z4Z4BPDQPLT\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2020/CC-MAIN-2020-50/CC-MAIN-2020-50_segments_1606141195929.39_warc_CC-MAIN-20201128214643-20201129004643-00461.warc.gz\"}"}
https://demo.formulasearchengine.com/wiki/Cohomology	[ "# Cohomology\n\nTemplate:More footnotes In mathematics, specifically in homology theory and algebraic topology, cohomology is a general term for a sequence of abelian groups defined from a co-chain complex. That is, cohomology is defined as the abstract study of cochains, cocycles, and coboundaries. Cohomology can...	[ null, "https://demo.formulasearchengine.com/index.php", null, "https://demo.formulasearchengine.com/index.php", null, "https://demo.formulasearchengine.com/index.php", null, "https://demo.formulasearchengine.com/index.php", null, "https://demo.formulasearchengine.com/index.php", null, "https:/...	{"ft_lang_label":"__label__en","ft_lang_prob":0.89422756,"math_prob":0.9269235,"size":10126,"snap":"2020-45-2020-50","text_gpt3_token_len":2565,"char_repetition_ratio":0.1641968,"word_repetition_ratio":0.0012861736,"special_character_ratio":0.21666996,"punctuation_ratio":0.1169045,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.99720395,"pos_list":[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20],"im_url_duplicate_count":[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2020-10-29T16:20:47Z\",\"WARC-Record-ID\":\"<urn:uuid:a9cd2249-27aa-4bf3-bd43-3829db0501e7>\",\"Content-Length\":\"120099\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:c7dad296-37e1-4cf3-b832-21e64080712e>\",\"WARC-Concurrent-To\":\"<urn:uuid:4bed199a-0f93-43c1-831f-f98606133a63>\",\"WARC-IP-Address\":\"132.195.228.228\",\"WARC-Target-URI\":\"https://demo.formulasearchengine.com/wiki/Cohomology\",\"WARC-Payload-Digest\":\"sha1:YCN6FTQA2TLN7LPX5LENZRCFMRAETBMQ\",\"WARC-Block-Digest\":\"sha1:VI4U5TXJGX3QYDATL542KMIWT3KW67VB\",\"WARC-Truncated\":\"disconnect\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2020/CC-MAIN-2020-45/CC-MAIN-2020-45_segments_1603107904834.82_warc_CC-MAIN-20201029154446-20201029184446-00082.warc.gz\"}"}
http://codeforces.com/problemset/problem/1144/E	[ "E. Median String\ntime limit per test\n2 seconds\nmemory limit per test\n256 megabytes\ninput\nstandard input\noutput\nstandard output\n\nYou are given two strings $s$ and $t$, both consisting of exactly $k$ lowercase Latin letters, $s$ is lexicographically less than $t$.\n\nLet's consider list of all strings cons...	[ null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.86700237,"math_prob":0.9977703,"size":1573,"snap":"2020-24-2020-29","text_gpt3_token_len":410,"char_repetition_ratio":0.14850223,"word_repetition_ratio":0.29554656,"special_character_ratio":0.32231405,"punctuation_ratio":0.0866426,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9993449,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2020-05-28T15:44:04Z\",\"WARC-Record-ID\":\"<urn:uuid:485bea23-3fad-4027-95f3-1d3d53ff43dd>\",\"Content-Length\":\"52139\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:0d471701-69f4-4842-ac75-314ad7475bc3>\",\"WARC-Concurrent-To\":\"<urn:uuid:655f6353-1fcd-4f78-98c7-b497b04fbc56>\",\"WARC-IP-Address\":\"81.27.240.126\",\"WARC-Target-URI\":\"http://codeforces.com/problemset/problem/1144/E\",\"WARC-Payload-Digest\":\"sha1:NER273JHJMHERMMJG5P6ZM2MYAKVDX6I\",\"WARC-Block-Digest\":\"sha1:DLDRBLCQ5BQTRUSXXALUTTDMMWOXUIDE\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2020/CC-MAIN-2020-24/CC-MAIN-2020-24_segments_1590347399820.9_warc_CC-MAIN-20200528135528-20200528165528-00564.warc.gz\"}"}
https://www.storyofmathematics.com/factors/factors-of-388/	[ "", null, "# Factors of 388: Prime Factorization, Methods, and Examples\n\nThe factors of 388 are 1, 2, 4, 97, 194, and 388. These numbers produce a zero remainder when divided by 388. 388 is an even composite number having 6 factors. It has both positive and negative integers as factors.", null, "Further i...	[ null, "https://www.storyofmathematics.com/wp-content/uploads/2022/02/som-header1.jpg", null, "data:image/svg+xml,%3Csvg%20xmlns=%22http://www.w3.org/2000/svg%22%20viewBox=%220%200%201200%20630%22%3E%3C/svg%3E", null, "data:image/svg+xml,%3Csvg%20xmlns=%22http://www.w3.org/2000/svg%22%20viewBox=%220%200%20...	{"ft_lang_label":"__label__en","ft_lang_prob":0.90164655,"math_prob":0.99565583,"size":5688,"snap":"2023-40-2023-50","text_gpt3_token_len":1494,"char_repetition_ratio":0.2489444,"word_repetition_ratio":0.06621881,"special_character_ratio":0.3043249,"punctuation_ratio":0.13939899,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9998771,"pos_list":[0,1,2,3,4,5,6,7,8],"im_url_duplicate_count":[null,null,null,null,null,null,null,null,null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2023-10-03T08:35:35Z\",\"WARC-Record-ID\":\"<urn:uuid:031d6e6a-929a-4e40-bbc2-742dcef5132a>\",\"Content-Length\":\"192278\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:3e0b65f2-5054-4ec8-9912-ea8dfc22d5b3>\",\"WARC-Concurrent-To\":\"<urn:uuid:4c9f7602-8316-4e6a-8522-09d4ca2ce54a>\",\"WARC-IP-Address\":\"172.67.190.47\",\"WARC-Target-URI\":\"https://www.storyofmathematics.com/factors/factors-of-388/\",\"WARC-Payload-Digest\":\"sha1:IV47QWNO4NIQIGTLNABWSXKUAE7SRPYZ\",\"WARC-Block-Digest\":\"sha1:34CJ7EA7CRLAVHUYVHCPGRMAFHU3CZQM\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2023/CC-MAIN-2023-40/CC-MAIN-2023-40_segments_1695233511055.59_warc_CC-MAIN-20231003060619-20231003090619-00875.warc.gz\"}"}
https://math.stackexchange.com/questions/4316470/what-is-the-difference-between-formula-and-function	[ "# What is the difference between 'formula' and 'function'?\n\nI hope this question fits in this site. I was asked by my student when I was explaining the concept of relation and function and after thinking, I still can't differentiate those two concepts (formula and function). I've looked for the answers from othe...	[ null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.94804204,"math_prob":0.99264205,"size":4031,"snap":"2023-40-2023-50","text_gpt3_token_len":904,"char_repetition_ratio":0.11547057,"word_repetition_ratio":0.0,"special_character_ratio":0.22500621,"punctuation_ratio":0.11604938,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9997446,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2023-09-27T15:26:01Z\",\"WARC-Record-ID\":\"<urn:uuid:d5c1c84f-6f65-4924-a551-f2497209eda4>\",\"Content-Length\":\"200914\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:dad727a5-040d-43c9-be74-a3f9b4e0b2bf>\",\"WARC-Concurrent-To\":\"<urn:uuid:192e5150-b5b7-448b-8e70-2b6c083330a5>\",\"WARC-IP-Address\":\"104.18.10.86\",\"WARC-Target-URI\":\"https://math.stackexchange.com/questions/4316470/what-is-the-difference-between-formula-and-function\",\"WARC-Payload-Digest\":\"sha1:CKWZ3BGEDPRAVFGET4DJJLLZQHCN37PE\",\"WARC-Block-Digest\":\"sha1:MM76TE35ABMDXSFZ6SYPJPF4E2J7XVMR\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2023/CC-MAIN-2023-40/CC-MAIN-2023-40_segments_1695233510300.41_warc_CC-MAIN-20230927135227-20230927165227-00405.warc.gz\"}"}
https://www.geeksforgeeks.org/gate-gate-cs-2006-question-4/	[ "Related Articles\n\n# GATE \| GATE-CS-2006 \| Question 4\n\n• Last Updated : 26 Feb, 2021\n\nA relation R is defined on ordered pairs of integers as follows: (x,y) R(u,v) if x < u and y > v. Then R is:\nThen R is:\n(A) Neither a Partial Order nor an Equivalence Relation\n(B) A Partial Order but not a Total Order\n(C...	[ null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.8409971,"math_prob":0.9849987,"size":2468,"snap":"2021-31-2021-39","text_gpt3_token_len":703,"char_repetition_ratio":0.12540585,"word_repetition_ratio":0.5516569,"special_character_ratio":0.28119937,"punctuation_ratio":0.15165877,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9995703,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2021-07-24T09:01:05Z\",\"WARC-Record-ID\":\"<urn:uuid:3d5e3e99-334c-48af-b119-2b29e6e1eaca>\",\"Content-Length\":\"97610\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:04bc4cdb-a994-4266-885d-5281f453215b>\",\"WARC-Concurrent-To\":\"<urn:uuid:02af864e-5b2d-48f1-b523-33c71cc42956>\",\"WARC-IP-Address\":\"23.46.239.11\",\"WARC-Target-URI\":\"https://www.geeksforgeeks.org/gate-gate-cs-2006-question-4/\",\"WARC-Payload-Digest\":\"sha1:BGA3EY6QCOZSZ6HE2KD4MQS26Y76QWVE\",\"WARC-Block-Digest\":\"sha1:LRSXHHQJOZTYKGXF3NLOCTKRDBNA6RCG\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2021/CC-MAIN-2021-31/CC-MAIN-2021-31_segments_1627046150134.86_warc_CC-MAIN-20210724063259-20210724093259-00715.warc.gz\"}"}
https://www.studysmarter.us/textbooks/math/precalculus-enhanced-with-graphing-utilities-6th/sequences-induction-the-binomial-theorem/q-76-in-problems-71-82-find-the-sum-of-each-sequence/	[ "", null, "Suggested languages for you:\n\nEurope\n\nAnswers without the blur. Sign up and see all textbooks for free!", null, "Q 76.\n\nExpert-verified", null, "Found in: Page 809", null, "### Precalculus Enhanced with Graphing Utilities\n\nBook edition 6th\nAuthor(s) Sullivan\nPages 1200 pages\nIS...	[ null, "https://www.studysmarter.us/wp-content/themes/StudySmarter-Theme/dist/assets/images/header-logo.svg", null, "https://www.studysmarter.us/wp-content/themes/StudySmarter-Theme/src/assets/images/ab-test/searching-looking.svg", null, "https://studysmarter-mediafiles.s3.amazonaws.com/media/textbook-imag...	{"ft_lang_label":"__label__en","ft_lang_prob":0.6977346,"math_prob":0.9997594,"size":375,"snap":"2023-14-2023-23","text_gpt3_token_len":105,"char_repetition_ratio":0.14824797,"word_repetition_ratio":0.03508772,"special_character_ratio":0.29333332,"punctuation_ratio":0.175,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9999243,"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\":\"2023-03-25T21:03:36Z\",\"WARC-Record-ID\":\"<urn:uuid:a680a25f-566e-4a6e-a97d-8e6e1755bbb4>\",\"Content-Length\":\"158370\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:e1291b38-058e-45c1-a800-b9bb2f70de8f>\",\"WARC-Concurrent-To\":\"<urn:uuid:ba744501-b4d8-46f8-b4b3-0708dc177260>\",\"WARC-IP-Address\":\"18.194.226.228\",\"WARC-Target-URI\":\"https://www.studysmarter.us/textbooks/math/precalculus-enhanced-with-graphing-utilities-6th/sequences-induction-the-binomial-theorem/q-76-in-problems-71-82-find-the-sum-of-each-sequence/\",\"WARC-Payload-Digest\":\"sha1:WUT55JOQ2OVQ7YHBEEZ2HJSAXKEKXUAR\",\"WARC-Block-Digest\":\"sha1:UFCBYP3YH3IROMFPPWZ6VWMDUB4SFK3W\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2023/CC-MAIN-2023-14/CC-MAIN-2023-14_segments_1679296945372.38_warc_CC-MAIN-20230325191930-20230325221930-00750.warc.gz\"}"}
https://chem.libretexts.org/Courses/City_College_of_San_Francisco/Foundations_-_Review_Source_for_Chem_101A/06%3A_Appendices/7.01%3A_Essential_Mathematics	[ "Skip to main content\n\n# 7.1: Essential Mathematics\n\n## Exponential Arithmetic\n\nExponential notation is used to express very large and very small numbers as a product of two numbers. The first number of the product, the digit term, is usually a number not less than 1 and not greater than 10. The second number...	[ null, "https://chem.libretexts.org/@api/deki/files/61354/CNX_Chem_00_BB_Dependence_img.jpg", null, "https://chem.libretexts.org/@api/deki/files/61355/CNX_Chem_00_BB_Function_img.jpg", null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.8290494,"math_prob":0.99938685,"size":9110,"snap":"2021-21-2021-25","text_gpt3_token_len":2638,"char_repetition_ratio":0.16571492,"word_repetition_ratio":0.09244884,"special_character_ratio":0.31635565,"punctuation_ratio":0.1131874,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9999871,"pos_list":[0,1,2,3,4],"im_url_duplicate_count":[null,4,null,4,null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2021-06-19T07:31:37Z\",\"WARC-Record-ID\":\"<urn:uuid:e153b724-6c97-49a3-9883-9fc622c4e658>\",\"Content-Length\":\"112820\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:4cf6139a-50c1-4245-9aee-1dfce54b26c7>\",\"WARC-Concurrent-To\":\"<urn:uuid:c80bd688-bea9-4a1b-a891-7d5a517b268e>\",\"WARC-IP-Address\":\"13.249.43.88\",\"WARC-Target-URI\":\"https://chem.libretexts.org/Courses/City_College_of_San_Francisco/Foundations_-_Review_Source_for_Chem_101A/06%3A_Appendices/7.01%3A_Essential_Mathematics\",\"WARC-Payload-Digest\":\"sha1:HBQZPNFSIASDVYV3MK2GSYZ5RVZQAHO3\",\"WARC-Block-Digest\":\"sha1:W37ELTRFR4WW6Q4L7ARAYWWZ6C2OWLGZ\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2021/CC-MAIN-2021-25/CC-MAIN-2021-25_segments_1623487643703.56_warc_CC-MAIN-20210619051239-20210619081239-00483.warc.gz\"}"}
https://python.engineering/python-check-whether-two-lists-circularly-identical/	[ "# Python \| Check if two lists match in a circle\n\n\| \| \|", null, "Examples :\n\n` Input: list1 = [10, 10, 0, 0, 10] list2 = [10, 10, 10, 0, 0] Output: Yes Explanation: yes they are circularly identical as when we write the list1 last index to second last index, then we find it is circularly same with list1 Inp...	[ null, "http://espressocode.top/images/paichildbusverthhandre372881.jpg", null, "https://python.engineering/python-check-whether-two-lists-circularly-identical/", null, "https://python.engineering/python-check-whether-two-lists-circularly-identical/", null, "https://python.engineering/python-check-whet...	{"ft_lang_label":"__label__en","ft_lang_prob":0.5803006,"math_prob":0.8873737,"size":2662,"snap":"2022-27-2022-33","text_gpt3_token_len":889,"char_repetition_ratio":0.16365689,"word_repetition_ratio":0.2984293,"special_character_ratio":0.3658903,"punctuation_ratio":0.16666667,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.99474204,"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,5,null,5,null,5,null,5,null,5,null,null,null,null,null,null,null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2022-06-29T00:19:54Z\",\"WARC-Record-ID\":\"<urn:uuid:65ef2bd0-15f2-4d89-84f3-683daae85d97>\",\"Content-Length\":\"38370\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:705aff63-a253-41cb-b383-155b3f9d5d7c>\",\"WARC-Concurrent-To\":\"<urn:uuid:e8cb065b-840f-4f51-8b94-fb1ce790d564>\",\"WARC-IP-Address\":\"172.67.181.212\",\"WARC-Target-URI\":\"https://python.engineering/python-check-whether-two-lists-circularly-identical/\",\"WARC-Payload-Digest\":\"sha1:EFKMJDV4X25HT2SEGZKMAM6OHMF6ASBM\",\"WARC-Block-Digest\":\"sha1:6WYAGRTQBIYOXIMHWXVTH7AMZZDMU26P\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2022/CC-MAIN-2022-27/CC-MAIN-2022-27_segments_1656103619185.32_warc_CC-MAIN-20220628233925-20220629023925-00338.warc.gz\"}"}
https://www.geeksforgeeks.org/p5-js-createvector-function/	[ "# p5.js \| createVector() function\n\nThe createVector() function in p5.js is used to create the new p5 vector which contains both magnitude and direction. This provides a two or three dimensional vector, specifically a geometric vector.\n\nSyntax:\n\n`createVector([x], [y], [z])`\n\nParameters: This function accep...	[ null, "https://media.geeksforgeeks.org/wp-content/uploads/20190420232304/Screenshot-2019-04-20-at-11.22.51-PM.png", null, "https://media.geeksforgeeks.org/wp-content/uploads/20190422183953/circle6.png", null, "https://media.geeksforgeeks.org/auth/profile/6z3x57km8koa88tq98ev", null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.5256069,"math_prob":0.84704137,"size":2233,"snap":"2019-35-2019-39","text_gpt3_token_len":607,"char_repetition_ratio":0.19380888,"word_repetition_ratio":0.18879056,"special_character_ratio":0.3036274,"punctuation_ratio":0.1970803,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.98314106,"pos_list":[0,1,2,3,4,5,6],"im_url_duplicate_count":[null,2,null,2,null,1,null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2019-08-22T12:19:03Z\",\"WARC-Record-ID\":\"<urn:uuid:261ba453-f1db-4326-ac61-31459dc1efaa>\",\"Content-Length\":\"97849\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:85e28a74-be45-4f0e-a286-1f215652c68b>\",\"WARC-Concurrent-To\":\"<urn:uuid:f60d7bfc-d8a6-4d9e-87c1-d3ac34915d5e>\",\"WARC-IP-Address\":\"104.96.221.51\",\"WARC-Target-URI\":\"https://www.geeksforgeeks.org/p5-js-createvector-function/\",\"WARC-Payload-Digest\":\"sha1:V4SHRNCH3KQWVEVHLMBXNMJ4OMBRRNSO\",\"WARC-Block-Digest\":\"sha1:C23FAIZHUNZX3Q7ZXTPLYK4TC5NXMM4X\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2019/CC-MAIN-2019-35/CC-MAIN-2019-35_segments_1566027317113.27_warc_CC-MAIN-20190822110215-20190822132215-00240.warc.gz\"}"}
https://discuss.pytorch.org/t/second-derivative-passing-from-linear-to-non-linear-formula/130435	[ "# Second derivative - passing from linear to non-linear formula\n\nHi guys!\n\nI am interested about passing from this linear function created below, to a non-linear one, in order to estimate the second derivative. Is there exist some trick that I can use to have the second derivative different from zero? I am try...	[ null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.7919438,"math_prob":0.9863236,"size":792,"snap":"2022-05-2022-21","text_gpt3_token_len":217,"char_repetition_ratio":0.095177665,"word_repetition_ratio":0.0,"special_character_ratio":0.28156567,"punctuation_ratio":0.22950819,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.99931204,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2022-05-28T23:35:53Z\",\"WARC-Record-ID\":\"<urn:uuid:99b11fd3-adc3-44a6-826c-33bbb92972e7>\",\"Content-Length\":\"13264\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:0d7eb513-140f-4003-9e8d-4830aa65f762>\",\"WARC-Concurrent-To\":\"<urn:uuid:abd91548-dd80-49ce-985d-10cde31a415c>\",\"WARC-IP-Address\":\"159.203.145.104\",\"WARC-Target-URI\":\"https://discuss.pytorch.org/t/second-derivative-passing-from-linear-to-non-linear-formula/130435\",\"WARC-Payload-Digest\":\"sha1:LMLRNTOPSMK6B7ODO5IUN7ZFO6FOJIMG\",\"WARC-Block-Digest\":\"sha1:Y5LA7ZRFRELWEJ34X6QVEFMUTTXSWDCQ\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2022/CC-MAIN-2022-21/CC-MAIN-2022-21_segments_1652663021405.92_warc_CC-MAIN-20220528220030-20220529010030-00596.warc.gz\"}"}
https://www.smartzworld.com/notes/network-theory-pdf-notes-nt-pdf-notes/	[ "# Network Theory Pdf Notes – NT Pdf Notes\n\nHere you can download the free lecture Notes of Neheory Ptwork Tdf Notes – NT Pdf Notes materials with multiple file links to download. Network Theory Notes Pdf – NT Notes Pdf book starts with the topics Introduction,Advantages of Three Phase is preferred Over Single Ph...	[ null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.8564314,"math_prob":0.8259887,"size":2839,"snap":"2019-51-2020-05","text_gpt3_token_len":650,"char_repetition_ratio":0.1276896,"word_repetition_ratio":0.18666667,"special_character_ratio":0.20183162,"punctuation_ratio":0.10128913,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9686088,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2019-12-13T03:07:05Z\",\"WARC-Record-ID\":\"<urn:uuid:33899b2e-5465-4a77-8d46-c3d829266ffe>\",\"Content-Length\":\"75086\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:34c3e325-8583-4b8a-90b4-e2202172bbb7>\",\"WARC-Concurrent-To\":\"<urn:uuid:80cbab17-e611-4ffa-82a1-8da6da33a484>\",\"WARC-IP-Address\":\"209.182.192.62\",\"WARC-Target-URI\":\"https://www.smartzworld.com/notes/network-theory-pdf-notes-nt-pdf-notes/\",\"WARC-Payload-Digest\":\"sha1:WK4DLGGZWLDQDZP7GDQ5OBSIWABSMKAU\",\"WARC-Block-Digest\":\"sha1:ZTONVV7XIYVXJOJEUQO24DCQKJHNTBV2\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2019/CC-MAIN-2019-51/CC-MAIN-2019-51_segments_1575540548537.21_warc_CC-MAIN-20191213020114-20191213044114-00288.warc.gz\"}"}
https://www.hindawi.com/journals/aaa/2013/432509/	[ "#### Abstract\n\nThis paper considers the existence of solutions for two boundary value problems for fractional -Laplacian equation. Under certain nonlinear growth conditions of the nonlinearity, two new existence results are obtained by using Schaefer's fixed point theorem. As an application, an example to illust...	[ null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.8599623,"math_prob":0.9888475,"size":16918,"snap":"2022-40-2023-06","text_gpt3_token_len":4301,"char_repetition_ratio":0.16235071,"word_repetition_ratio":0.14124294,"special_character_ratio":0.25198013,"punctuation_ratio":0.21600714,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9990263,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2022-10-03T17:51:00Z\",\"WARC-Record-ID\":\"<urn:uuid:9a627864-f25b-4bf2-b474-10b3a73d091c>\",\"Content-Length\":\"1049027\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:9457a28f-4f6e-4bd7-b4b5-4b1a35a217ab>\",\"WARC-Concurrent-To\":\"<urn:uuid:331c70aa-4895-436d-9cc1-2bfff82da139>\",\"WARC-IP-Address\":\"13.249.39.61\",\"WARC-Target-URI\":\"https://www.hindawi.com/journals/aaa/2013/432509/\",\"WARC-Payload-Digest\":\"sha1:QHP7QPAS2X2BJQ2G554E6UKQSKO2PFW2\",\"WARC-Block-Digest\":\"sha1:Y2JSTRFXDPYCR4ML5EAC7EEPHLKRGSSA\",\"WARC-Truncated\":\"length\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2022/CC-MAIN-2022-40/CC-MAIN-2022-40_segments_1664030337428.0_warc_CC-MAIN-20221003164901-20221003194901-00655.warc.gz\"}"}
https://www.java67.com/2016/10/	[ "HTML\n\n# How to transpose a matrix in Java? Example Tutorial\n\nHello guys, continuing the tradition of this week, where I have mostly published articles about coding exercises for Java beginners, today also I am going to share an interesting coding problem, many of you have solved in your college or school days....	[ null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.90767497,"math_prob":0.7706526,"size":11833,"snap":"2019-51-2020-05","text_gpt3_token_len":2365,"char_repetition_ratio":0.1323865,"word_repetition_ratio":0.026170107,"special_character_ratio":0.1963154,"punctuation_ratio":0.10128832,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9757091,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2019-12-06T22:41:49Z\",\"WARC-Record-ID\":\"<urn:uuid:091bb468-7013-4e73-bf41-8a86de6762c5>\",\"Content-Length\":\"276211\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:8a26dd1d-b656-41f0-b6c3-bb62e45be956>\",\"WARC-Concurrent-To\":\"<urn:uuid:194cdec1-1f60-474b-b4fc-d3f9e9ede080>\",\"WARC-IP-Address\":\"172.217.5.243\",\"WARC-Target-URI\":\"https://www.java67.com/2016/10/\",\"WARC-Payload-Digest\":\"sha1:NJHIERCFZDSBN66CNEVBU3M7IMTT67HI\",\"WARC-Block-Digest\":\"sha1:YTR645SBYQ2M2WMY42E4IVYM7HYKN466\",\"WARC-Identified-Payload-Type\":\"application/xhtml+xml\",\"warc_filename\":\"/cc_download/warc_2019/CC-MAIN-2019-51/CC-MAIN-2019-51_segments_1575540491491.18_warc_CC-MAIN-20191206222837-20191207010837-00198.warc.gz\"}"}
https://www.math-for-all-grades.com/Worksheet-on-weighted-averages.html	[ "## WORKSHEET ON WEIGHTED AVERAGES:\n\nHi welcome visitors to our website:\n\nin this worksheet, I am going to discuss in detail the concept of weighted average and one very interesting short-cut to solve questions on weighted average.\n\nTo enrich your learning, you can also visit our you tube on the concept of we...	[ null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.9541041,"math_prob":0.9913733,"size":6229,"snap":"2022-40-2023-06","text_gpt3_token_len":1452,"char_repetition_ratio":0.26473895,"word_repetition_ratio":0.13289036,"special_character_ratio":0.24418044,"punctuation_ratio":0.08175624,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.99558747,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2022-09-29T11:01:16Z\",\"WARC-Record-ID\":\"<urn:uuid:c0df443f-db45-4c0c-a954-9aa59e19ba56>\",\"Content-Length\":\"38480\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:2e56960d-d928-40f9-8f6f-5ac940cc88d7>\",\"WARC-Concurrent-To\":\"<urn:uuid:6b67a823-b36b-482f-a4f3-baaaf448de93>\",\"WARC-IP-Address\":\"104.21.77.198\",\"WARC-Target-URI\":\"https://www.math-for-all-grades.com/Worksheet-on-weighted-averages.html\",\"WARC-Payload-Digest\":\"sha1:7QEBB75TPYK4JAT2DIZNAYQYOGEACC2E\",\"WARC-Block-Digest\":\"sha1:XYDL5MLPEWFC6TU7RA2CQLXWFUD262PY\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2022/CC-MAIN-2022-40/CC-MAIN-2022-40_segments_1664030335350.36_warc_CC-MAIN-20220929100506-20220929130506-00778.warc.gz\"}"}
https://gmplib.org/list-archives/gmp-discuss/2004-October/001378.html	[ "# Computing A^x (mod n)\n\nPhilip Lee rocketman768 at gmail.com\nSat Oct 2 18:57:14 CEST 2004\n\n```I'm just wondering the algorithm behind mpz_powm(). It can't be doing\nthe calculation (mod n) inside whatever loop it's running, because if\nI take a a 572-bit number and raise it to a 576-bit number modulo a\n576...	[ null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.9055826,"math_prob":0.75676066,"size":848,"snap":"2023-14-2023-23","text_gpt3_token_len":219,"char_repetition_ratio":0.109004736,"word_repetition_ratio":0.013888889,"special_character_ratio":0.25589624,"punctuation_ratio":0.10465116,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9805292,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2023-06-06T00:08:01Z\",\"WARC-Record-ID\":\"<urn:uuid:255c7c8d-cdc7-4cdd-9255-16d5ef5e8402>\",\"Content-Length\":\"3000\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:f8751048-b19b-4471-bb6e-01492e6b84a3>\",\"WARC-Concurrent-To\":\"<urn:uuid:f28b0db6-fd58-4ea3-bafd-5502fe85d261>\",\"WARC-IP-Address\":\"130.242.124.102\",\"WARC-Target-URI\":\"https://gmplib.org/list-archives/gmp-discuss/2004-October/001378.html\",\"WARC-Payload-Digest\":\"sha1:4NUY3LL2LX2EBV76BUEDMZBZ4WAE2KBJ\",\"WARC-Block-Digest\":\"sha1:H46CKIUNE47YC7NTNOQIKWVSGPV54VMB\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2023/CC-MAIN-2023-23/CC-MAIN-2023-23_segments_1685224652184.68_warc_CC-MAIN-20230605221713-20230606011713-00395.warc.gz\"}"}
http://mathcentral.uregina.ca/QQ/database/QQ.09.06/patricia4.html	[ "Subject: Problem Solving Inequalities Name: Patricia Who are you: Student Your quiz grades are 73, 75, 89 and 91. What is the lowest grade you can obtain on the last quiz and still achieve an average at least 85? Thank you. Hi Patricia, If you had all 5 grades and the average was 85 then the sum of the 5 grades di...	[ null, "http://mathcentral.uregina.ca/images/multiply.gif", null, "http://mathcentral.uregina.ca/images/multiply.gif", null, "http://mathcentral.uregina.ca/images/multiply.gif", null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.90940756,"math_prob":0.97308207,"size":792,"snap":"2020-24-2020-29","text_gpt3_token_len":253,"char_repetition_ratio":0.12182741,"word_repetition_ratio":0.10869565,"special_character_ratio":0.3699495,"punctuation_ratio":0.097826086,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9928106,"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\":\"2020-07-03T20:20:27Z\",\"WARC-Record-ID\":\"<urn:uuid:bb5e3c46-c833-4eba-9a28-ffc8f5f2acba>\",\"Content-Length\":\"6763\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:52366b8b-24ec-452a-a8a8-3e68ddd0fe12>\",\"WARC-Concurrent-To\":\"<urn:uuid:68d36697-384c-499c-8beb-359bce4ade07>\",\"WARC-IP-Address\":\"142.3.156.43\",\"WARC-Target-URI\":\"http://mathcentral.uregina.ca/QQ/database/QQ.09.06/patricia4.html\",\"WARC-Payload-Digest\":\"sha1:PCTKN6RAO2HUIOSUKJL4UBRSPLR7BTH7\",\"WARC-Block-Digest\":\"sha1:F7BPY6A35J4SJLTPIL2KDFFCRHX6GSAZ\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2020/CC-MAIN-2020-29/CC-MAIN-2020-29_segments_1593655882934.6_warc_CC-MAIN-20200703184459-20200703214459-00285.warc.gz\"}"}
https://education.blurtit.com/181877/2x59	[ "# 2x+5=9?\n\n2x+5=9 2x=9-5=4 so, x=2\nthanked the writer.\nRULES TO SOLVE SUCH TYPE OF PROBLEMS IS :-\n\nfirst takes all the \"x\" variable on one side and all the single digit{constants} on\nthe other, remember when shifting the numbers , their signs should get change...\n\n2x + 5 = 9\n2x = 9 - 5\n2x = 4\nx = 4/2...	[ null, "https://cf.blurtitcdn.com/var/avatar/thumb_default_avatar.jpg", null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.7845951,"math_prob":0.99552155,"size":584,"snap":"2021-43-2021-49","text_gpt3_token_len":226,"char_repetition_ratio":0.10344828,"word_repetition_ratio":0.752,"special_character_ratio":0.38869864,"punctuation_ratio":0.120567374,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.98896503,"pos_list":[0,1,2],"im_url_duplicate_count":[null,null,null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2021-10-21T23:25:58Z\",\"WARC-Record-ID\":\"<urn:uuid:a41a90e9-059b-4df7-b5d6-562aa3badb61>\",\"Content-Length\":\"44458\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:56778836-ba06-4a23-8cef-373a59f3eb42>\",\"WARC-Concurrent-To\":\"<urn:uuid:dde1aafe-98ac-4cb6-8f5f-176079886811>\",\"WARC-IP-Address\":\"172.67.65.240\",\"WARC-Target-URI\":\"https://education.blurtit.com/181877/2x59\",\"WARC-Payload-Digest\":\"sha1:3M55ALL7KY3JEL6BQX2CDPBQHALFE4QV\",\"WARC-Block-Digest\":\"sha1:BEJ6AVEPXVVL57LELQC55A7RAK6RAZK4\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2021/CC-MAIN-2021-43/CC-MAIN-2021-43_segments_1634323585449.31_warc_CC-MAIN-20211021230549-20211022020549-00513.warc.gz\"}"}
https://philoid.com/question/34703-four-equal-circles-each-of-radius-5-cm-touch-each-other-as-shown-in-the-figure-find-the-area-included-between-them-take-314	[ "", null, "## Book: RS Aggarwal - Mathematics\n\n### Chapter: 18. Area of Circle, Sector and Segment\n\n#### Subject: Maths - Class 10th\n\n##### Q. No. 37 of Exercise 18B\n\nListen NCERT Audio Books - Kitabein Ab Bolengi\n\n37\n##### Four equal circles, each of radius 5 cm, touch each other, as shown in the fi...	[ null, "https://static.philoid.co/philoid-com/assets/images/cc-optimised/jrsa1cc.jpg", null, "https://static.insightsonindia.in/ncertusercontent/solutions/", null, "https://static.insightsonindia.in/ncertusercontent/solutions/", null, "https://static.insightsonindia.in/ncertusercontent/solutions/", n...	{"ft_lang_label":"__label__en","ft_lang_prob":0.89612645,"math_prob":0.9988864,"size":1948,"snap":"2023-40-2023-50","text_gpt3_token_len":605,"char_repetition_ratio":0.16100822,"word_repetition_ratio":0.031325303,"special_character_ratio":0.31570843,"punctuation_ratio":0.10046729,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.99787086,"pos_list":[0,1,2,3,4,5,6,7,8,9,10,11,12],"im_url_duplicate_count":[null,null,null,null,null,null,null,null,null,null,null,null,null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2023-09-23T00:54:30Z\",\"WARC-Record-ID\":\"<urn:uuid:fb3e1ab1-e1b0-446c-8a42-160f3a85708f>\",\"Content-Length\":\"107611\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:93fb0b1b-1a3c-473e-af19-66817b343232>\",\"WARC-Concurrent-To\":\"<urn:uuid:aa268999-9c6a-4384-ac18-cd60ac3e2222>\",\"WARC-IP-Address\":\"172.105.252.124\",\"WARC-Target-URI\":\"https://philoid.com/question/34703-four-equal-circles-each-of-radius-5-cm-touch-each-other-as-shown-in-the-figure-find-the-area-included-between-them-take-314\",\"WARC-Payload-Digest\":\"sha1:SFGV3A2UNEEVQXAFPSWKXJB2Y7AMKOCI\",\"WARC-Block-Digest\":\"sha1:NJNQNNJ4S7HIHU2C5Q3UT4KM6FCAVW7Z\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2023/CC-MAIN-2023-40/CC-MAIN-2023-40_segments_1695233506429.78_warc_CC-MAIN-20230922234442-20230923024442-00544.warc.gz\"}"}
https://portal.research.lu.se/portal/en/publications/twoview-orthographic-epipolar-geometry(0b2d14df-4a11-4639-887a-de2ed8101e60).html	[ "Two-View Orthographic Epipolar Geometry: Minimal and Optimal Solvers\n\nResearch output: Contribution to journalArticle\n\nAbstract\n\nWe will in this paper present methods and algorithms for estimating two-view geometry based on an orthographic camera model. We use a previously neglected nonlinear criterion on ri...	[ null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.8232522,"math_prob":0.6390784,"size":1432,"snap":"2019-43-2019-47","text_gpt3_token_len":283,"char_repetition_ratio":0.083333336,"word_repetition_ratio":0.0,"special_character_ratio":0.18784916,"punctuation_ratio":0.058558557,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9519454,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2019-10-15T17:18:39Z\",\"WARC-Record-ID\":\"<urn:uuid:92d1b310-b594-4623-99b7-849cfeb25d01>\",\"Content-Length\":\"18292\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:b0adb3ed-33e4-4a6f-818d-70682f79cbaa>\",\"WARC-Concurrent-To\":\"<urn:uuid:c029df59-685a-406d-b20b-c667584cb82c>\",\"WARC-IP-Address\":\"130.235.140.134\",\"WARC-Target-URI\":\"https://portal.research.lu.se/portal/en/publications/twoview-orthographic-epipolar-geometry(0b2d14df-4a11-4639-887a-de2ed8101e60).html\",\"WARC-Payload-Digest\":\"sha1:ZNPNQ2J6BMJSQS26K6F6UOFM7JAWHDP2\",\"WARC-Block-Digest\":\"sha1:XA2DSULUV7C4BAZ66LTIBZCFCIKYKJUX\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2019/CC-MAIN-2019-43/CC-MAIN-2019-43_segments_1570986660067.26_warc_CC-MAIN-20191015155056-20191015182556-00221.warc.gz\"}"}
https://lovethedax.com/qa/question-what-is-difference-between-speed-and-velocity.html	[ "", null, "# Question: What Is Difference Between Speed And Velocity?\n\n## How can speed be calculated?\n\nThe formula for speed is speed = distance ÷ time.\n\nTo work out what the units are for speed, you need to know the units for distance and time.\n\nIn this example, distance is in metres (m) and time is i...	[ null, "https://mc.yandex.ru/watch/67749877", null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.92949843,"math_prob":0.9749104,"size":6152,"snap":"2021-04-2021-17","text_gpt3_token_len":1314,"char_repetition_ratio":0.21877033,"word_repetition_ratio":0.20207743,"special_character_ratio":0.21407673,"punctuation_ratio":0.111853085,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9982268,"pos_list":[0,1,2],"im_url_duplicate_count":[null,null,null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2021-04-11T10:20:21Z\",\"WARC-Record-ID\":\"<urn:uuid:9f9bf61f-b116-4f52-bbc4-bb5138dff906>\",\"Content-Length\":\"41981\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:0b05630e-753e-4bd4-8304-cc0fbc8f42d1>\",\"WARC-Concurrent-To\":\"<urn:uuid:b023a7c5-d41a-4f1e-9435-230434d8887f>\",\"WARC-IP-Address\":\"193.176.77.119\",\"WARC-Target-URI\":\"https://lovethedax.com/qa/question-what-is-difference-between-speed-and-velocity.html\",\"WARC-Payload-Digest\":\"sha1:UIUBDZARKIPJTYX67QX7WGXYVK3JD5JI\",\"WARC-Block-Digest\":\"sha1:PLYADEXY47I3YSCPIYIUYNBL7IJ54MKF\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2021/CC-MAIN-2021-17/CC-MAIN-2021-17_segments_1618038061820.19_warc_CC-MAIN-20210411085610-20210411115610-00253.warc.gz\"}"}
https://www.shaalaa.com/question-bank-solutions/distinguish-between-percentage-method-counting-elasticity-demand-geometric-method-counting-elasticity-demand-supply-curve-schedule_51762	[ "Share\n\n# Distinguish Between :Percentage Method of Counting Elasticity of Demand and Geometric Method of Counting Elasticity of Demand. - Economics\n\nConceptSupply Curve and Schedule\n\n#### Question\n\nDistinguish between :\n\nPercentage method of counting elasticity of demand and Geometric method of counting ...	[ null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.7880363,"math_prob":0.45660216,"size":766,"snap":"2020-10-2020-16","text_gpt3_token_len":163,"char_repetition_ratio":0.17585301,"word_repetition_ratio":0.11111111,"special_character_ratio":0.21018277,"punctuation_ratio":0.06140351,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.99783206,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2020-03-31T18:28:12Z\",\"WARC-Record-ID\":\"<urn:uuid:4f594cda-d936-4299-806f-d96bc3fdd9e9>\",\"Content-Length\":\"59136\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:a34d7620-2292-4217-8bcd-c6736411a82e>\",\"WARC-Concurrent-To\":\"<urn:uuid:fdccff1e-728c-42fb-b946-0d8cad418b59>\",\"WARC-IP-Address\":\"172.105.37.75\",\"WARC-Target-URI\":\"https://www.shaalaa.com/question-bank-solutions/distinguish-between-percentage-method-counting-elasticity-demand-geometric-method-counting-elasticity-demand-supply-curve-schedule_51762\",\"WARC-Payload-Digest\":\"sha1:YFRA7S2ZDN23MQK6M54CMMGXF3PMUJWN\",\"WARC-Block-Digest\":\"sha1:HB6WN5EFVSBLVFDEH5DNHCULLJ7PWQKF\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2020/CC-MAIN-2020-16/CC-MAIN-2020-16_segments_1585370503664.38_warc_CC-MAIN-20200331181930-20200331211930-00236.warc.gz\"}"}
https://logic.pdmi.ras.ru/seminars/complexity-seminar/2016-10-17	[ "## Понедельник 17.10. Krzysztof Sornat: \"Approximation and Parameterized Complexity of Minimax Approval Voting\"\n\nПонедельник, 17 октября, ауд. 106. Начало в 14:00.\n\nДокладчик: Krzysztof Sornat (University of Wroclaw).\n\nТема: Approximation and Parameterized Complexity of Minimax Approval Voting.\n\n### Abst...	[ null, "https://logic.pdmi.ras.ru/sites/default/files/tex/3579696f06fe2e58f62d997256e0c9d669e94672.png", null, "https://logic.pdmi.ras.ru/sites/default/files/tex/05b806fb3a39e75606f12e544fec1ae578c32b0b.png", null, "https://logic.pdmi.ras.ru/sites/default/files/tex/f5efd7e164b692a1c06faa4659d1c840d8761de8....	{"ft_lang_label":"__label__en","ft_lang_prob":0.80214745,"math_prob":0.8655567,"size":1272,"snap":"2019-13-2019-22","text_gpt3_token_len":331,"char_repetition_ratio":0.11750789,"word_repetition_ratio":0.0,"special_character_ratio":0.21462265,"punctuation_ratio":0.15611814,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.95883036,"pos_list":[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14],"im_url_duplicate_count":[null,2,null,2,null,6,null,2,null,2,null,2,null,2,null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2019-03-21T15:39:20Z\",\"WARC-Record-ID\":\"<urn:uuid:1cf3d6ce-17da-4807-8e14-4a0394a7b2dd>\",\"Content-Length\":\"10316\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:7c10be76-3775-4bd1-a061-2a3196d2092a>\",\"WARC-Concurrent-To\":\"<urn:uuid:dae84b12-64e6-42c3-a506-4ee30042fec3>\",\"WARC-IP-Address\":\"83.149.197.121\",\"WARC-Target-URI\":\"https://logic.pdmi.ras.ru/seminars/complexity-seminar/2016-10-17\",\"WARC-Payload-Digest\":\"sha1:LHGWFCYEXBCMMNZDT2SXXSQGZRIFL66K\",\"WARC-Block-Digest\":\"sha1:SPY7D6FZNSXLBOPBFHGX5CG4MBR2M27O\",\"WARC-Identified-Payload-Type\":\"application/xhtml+xml\",\"warc_filename\":\"/cc_download/warc_2019/CC-MAIN-2019-13/CC-MAIN-2019-13_segments_1552912202526.24_warc_CC-MAIN-20190321152638-20190321174638-00206.warc.gz\"}"}
https://www.geogebra.org/m/ex29ay9z	[ "# Baby-Step Modeling in 3D GC with AR: Part 1\n\n## MATH Ts and Ss:\n\nIf you're studying classes of functions and function transformations in 2D, YOU CAN build and model in 3D! In 2D, consider the equation . It's graph is a circle with center (0,0) and radius = 2. To see why, check out this resource here. Yet in ...	[ null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.8950579,"math_prob":0.94124997,"size":1045,"snap":"2021-31-2021-39","text_gpt3_token_len":280,"char_repetition_ratio":0.10951009,"word_repetition_ratio":0.0,"special_character_ratio":0.25358853,"punctuation_ratio":0.1559633,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.99699974,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2021-08-01T18:40:26Z\",\"WARC-Record-ID\":\"<urn:uuid:605d6b51-66e5-46ce-b45e-f6997ce6e211>\",\"Content-Length\":\"40803\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:dfa0d9cc-17af-4649-b32e-bd07081b5794>\",\"WARC-Concurrent-To\":\"<urn:uuid:4b818f1a-6f42-4e2c-a6d0-2fb0d3d4b484>\",\"WARC-IP-Address\":\"52.85.144.70\",\"WARC-Target-URI\":\"https://www.geogebra.org/m/ex29ay9z\",\"WARC-Payload-Digest\":\"sha1:BHN42NE2DZO535CKVNUGZE5QTS543Z2W\",\"WARC-Block-Digest\":\"sha1:63YVNC7BFYBAB2ET22OQJQ6EXK6LC6E3\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2021/CC-MAIN-2021-31/CC-MAIN-2021-31_segments_1627046154214.63_warc_CC-MAIN-20210801154943-20210801184943-00389.warc.gz\"}"}
https://brainmass.com/math/functional-analysis/polar-coordinates-43494	[ "Explore BrainMass\n\n# Polar coordinates\n\nNot what you're looking for? Search our solutions OR ask your own Custom question.\n\nThis content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!\n\nX and y represents rectangular coordinates. What is the given equation us...	[ null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.7788177,"math_prob":0.95611024,"size":643,"snap":"2021-31-2021-39","text_gpt3_token_len":168,"char_repetition_ratio":0.14710484,"word_repetition_ratio":0.0,"special_character_ratio":0.25660965,"punctuation_ratio":0.16,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9972738,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2021-08-04T07:21:24Z\",\"WARC-Record-ID\":\"<urn:uuid:e07f17f2-868e-4e45-ad87-5b196ec32926>\",\"Content-Length\":\"330377\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:86770a59-c346-4d2f-8c2c-87c29509b7a7>\",\"WARC-Concurrent-To\":\"<urn:uuid:f280104a-2e9a-4b2b-adf9-d6c025992f73>\",\"WARC-IP-Address\":\"104.26.5.245\",\"WARC-Target-URI\":\"https://brainmass.com/math/functional-analysis/polar-coordinates-43494\",\"WARC-Payload-Digest\":\"sha1:OS2ATV442A3V47J7FUC4S73QTMCBOWTI\",\"WARC-Block-Digest\":\"sha1:A5HKCPGOGIHWODWVWSPEFISNSYWGTCDV\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2021/CC-MAIN-2021-31/CC-MAIN-2021-31_segments_1627046154796.71_warc_CC-MAIN-20210804045226-20210804075226-00193.warc.gz\"}"}
https://veronak.savingadvice.com/2013/08/	[ "User Real IP - 34.204.200.74\n```Array\n(\n => Array\n(\n => 182.68.68.92\n)\n\n => Array\n(\n => 101.0.41.201\n)\n\n => Array\n(\n => 43.225.98.123\n)\n\n => Array\n(\n => 2.58.194.139\n)\n\n => Array\n(\n => 46.119.197.104\n)\n\n => Array\n(\n => 45.249.8.93\n)\n\n => Array\n(\n => 103.12.135.72\n)\n\n => Array\...	[ null, "https://www.savingadvice.com/blogs/images/search/top_left.php", null, "https://www.savingadvice.com/blogs/images/search/top_right.php", null, "https://www.savingadvice.com/blogs/images/search/bottom_left.php", null, "https://www.savingadvice.com/forums/core/images/smilies/smile.png", null, ...	{"ft_lang_label":"__label__en","ft_lang_prob":0.9783472,"math_prob":0.9955059,"size":1869,"snap":"2019-51-2020-05","text_gpt3_token_len":433,"char_repetition_ratio":0.09383378,"word_repetition_ratio":0.0,"special_character_ratio":0.23434992,"punctuation_ratio":0.09113924,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.996884,"pos_list":[0,1,2,3,4,5,6,7,8,9,10],"im_url_duplicate_count":[null,null,null,null,null,null,null,null,null,null,null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2020-01-24T13:47:21Z\",\"WARC-Record-ID\":\"<urn:uuid:5a3774bd-3212-46b9-b454-9739349f21e0>\",\"Content-Length\":\"70445\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:f6a50c7b-24cb-4adf-85c5-d038a5f36747>\",\"WARC-Concurrent-To\":\"<urn:uuid:f71d183e-a09b-4d98-8075-8886926bb151>\",\"WARC-IP-Address\":\"173.231.200.26\",\"WARC-Target-URI\":\"https://veronak.savingadvice.com/2013/08/\",\"WARC-Payload-Digest\":\"sha1:BPN5YPZHRFAFPFZYPGDGXITOVSLJCDYA\",\"WARC-Block-Digest\":\"sha1:J4HRCWNMPBAD6KFVRF7AYN5G2C7CKGML\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2020/CC-MAIN-2020-05/CC-MAIN-2020-05_segments_1579250620381.59_warc_CC-MAIN-20200124130719-20200124155719-00480.warc.gz\"}"}
http://alameencollege.org/Al-ameen_departments_backend.php?id=9	[ "# Department of Mathematics\n\n## Department Of Mathematics\n\nThe Department of Mathematics was established in the year 1995, as a complementary subject for B.Sc Petrochemicals and B.Sc. Physics courses. In 2013 M.Sc. Mathematics has been started.\n\nOur vision is to develop a love and appreciation for the discip...	[ null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.66842115,"math_prob":0.7091562,"size":6838,"snap":"2019-51-2020-05","text_gpt3_token_len":1338,"char_repetition_ratio":0.13227978,"word_repetition_ratio":0.002118644,"special_character_ratio":0.16145071,"punctuation_ratio":0.10570627,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9716541,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2020-01-27T03:18:23Z\",\"WARC-Record-ID\":\"<urn:uuid:711d7fb7-74bc-4c17-b457-c3e699e55118>\",\"Content-Length\":\"83991\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:34631b17-8ee8-4f19-b7b4-48e2c46bbc26>\",\"WARC-Concurrent-To\":\"<urn:uuid:68d85a61-1903-480c-a729-e2fad02f53c1>\",\"WARC-IP-Address\":\"166.62.27.186\",\"WARC-Target-URI\":\"http://alameencollege.org/Al-ameen_departments_backend.php?id=9\",\"WARC-Payload-Digest\":\"sha1:YMR776FZN5JWHPIWDS5DXONOGYOFV2YV\",\"WARC-Block-Digest\":\"sha1:WRZFKR2WARG6VA23YHHLFFWHONCQPUX3\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2020/CC-MAIN-2020-05/CC-MAIN-2020-05_segments_1579251694176.67_warc_CC-MAIN-20200127020458-20200127050458-00365.warc.gz\"}"}
https://discourse.dhall-lang.org/t/are-there-type-variables-generic-types/348	[ "", null, "# Are there type variables / generic types?\n\n#1\n\nHi, just starting with Dhall. I will like to do something like this:\n\n``````let (Thing a) : Type =\n{ output : a\n, a : Text\n, b : Text\n}\n\nlet stringThings : List (Thing Text) =\n[ {output = \"out\", a= \"a\", b = \"b\"}\n, {output = \"out\",...	[ null, "https://dhall-discourse-uploads.s3.dualstack.us-west-1.amazonaws.com/original/1X/87f17b6b61493e8404c449e71ccbeb0b44db5fb8.png", null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.8294706,"math_prob":0.9234208,"size":862,"snap":"2020-34-2020-40","text_gpt3_token_len":251,"char_repetition_ratio":0.13986014,"word_repetition_ratio":0.13259669,"special_character_ratio":0.32134572,"punctuation_ratio":0.1904762,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9984708,"pos_list":[0,1,2],"im_url_duplicate_count":[null,null,null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2020-09-21T02:47:24Z\",\"WARC-Record-ID\":\"<urn:uuid:f68b8f05-8a90-42ba-86c8-3b5622ba1269>\",\"Content-Length\":\"10792\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:fa52bab9-d67b-4f45-8f33-44649b55839c>\",\"WARC-Concurrent-To\":\"<urn:uuid:af0b5364-ece9-464b-bf48-ba704ae2b9b4>\",\"WARC-IP-Address\":\"173.255.251.40\",\"WARC-Target-URI\":\"https://discourse.dhall-lang.org/t/are-there-type-variables-generic-types/348\",\"WARC-Payload-Digest\":\"sha1:D6HNX4LWXJ5II2KOMGVM2XVCX4TX7XBX\",\"WARC-Block-Digest\":\"sha1:NUSNJ4LQVH7DMHVHBLGLXGSTOP3MM5H2\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2020/CC-MAIN-2020-40/CC-MAIN-2020-40_segments_1600400198887.3_warc_CC-MAIN-20200921014923-20200921044923-00293.warc.gz\"}"}
https://www.arxiv-vanity.com/papers/1602.07370/	[ "arXiv Vanity renders academic papers from arXiv as responsive web pages so you don’t have to squint at a PDF. Read this paper on arXiv.org.\n\n# Exact solutions for logistic reaction-diffusion in biology\n\n1. Dept. of Mathematics and Statistics, La Trobe University, Victoria, Australia.\n2. Phenomics and Bioinfor...	[ null, "https://media.arxiv-vanity.com/render-output/3658870/x1.png", null, "https://media.arxiv-vanity.com/render-output/3658870/x2.png", null, "https://media.arxiv-vanity.com/render-output/3658870/x3.png", null, "https://media.arxiv-vanity.com/render-output/3658870/x4.png", null, "https://media.a...	{"ft_lang_label":"__label__en","ft_lang_prob":0.88791287,"math_prob":0.9886248,"size":31153,"snap":"2020-34-2020-40","text_gpt3_token_len":6949,"char_repetition_ratio":0.16315131,"word_repetition_ratio":0.040265754,"special_character_ratio":0.22395916,"punctuation_ratio":0.14457418,"nsfw_num_words":3,"has_unicode_error":false,"math_prob_llama3":0.9956901,"pos_list":[0,1,2,3,4,5,6,7,8,9,10,11,12],"im_url_duplicate_count":[null,1,null,1,null,1,null,1,null,1,null,1,null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2020-09-27T12:56:38Z\",\"WARC-Record-ID\":\"<urn:uuid:c2e46a89-9daa-4fd0-b807-563f4b8e93cf>\",\"Content-Length\":\"616130\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:ec178dd5-d3cc-48ba-971f-f98b26e2c099>\",\"WARC-Concurrent-To\":\"<urn:uuid:d9b7266a-6fa1-403d-8f83-38a24d6f1701>\",\"WARC-IP-Address\":\"104.28.21.249\",\"WARC-Target-URI\":\"https://www.arxiv-vanity.com/papers/1602.07370/\",\"WARC-Payload-Digest\":\"sha1:O6NISDJADWMIKZKQCYC7J7NIXQEQDG6X\",\"WARC-Block-Digest\":\"sha1:PDPXJRGUVUVQNUYG65D2ZYF3JZHBNKA6\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2020/CC-MAIN-2020-40/CC-MAIN-2020-40_segments_1600400279782.77_warc_CC-MAIN-20200927121105-20200927151105-00442.warc.gz\"}"}
https://vi-magento.com/library-function-in-qbasic-quick-answer/	[ "Chuyển tới nội dung\nTrang chủ » Library Function In Qbasic? Quick Answer\n\n# Library Function In Qbasic? Quick Answer\n\nAre you looking for an answer to the topic “library function in qbasic“? We answer all your questions at the website https://vi-magento.com in category: Top 794 tips update new. You will find ...	[ null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.87876123,"math_prob":0.7494675,"size":7404,"snap":"2023-14-2023-23","text_gpt3_token_len":1597,"char_repetition_ratio":0.21851352,"word_repetition_ratio":0.24916667,"special_character_ratio":0.20813075,"punctuation_ratio":0.10885341,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.97415036,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2023-03-20T09:40:15Z\",\"WARC-Record-ID\":\"<urn:uuid:17b123b4-720f-4f39-b9f3-d5667e69b4f6>\",\"Content-Length\":\"76146\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:ee70f637-d5fb-425d-b4ed-d1acaeae0f30>\",\"WARC-Concurrent-To\":\"<urn:uuid:5c50c77b-ea64-4c05-93e1-669b9e772fc1>\",\"WARC-IP-Address\":\"45.252.250.21\",\"WARC-Target-URI\":\"https://vi-magento.com/library-function-in-qbasic-quick-answer/\",\"WARC-Payload-Digest\":\"sha1:ZVYLGASSHYKX44NLOJOFL337TTV6IZUU\",\"WARC-Block-Digest\":\"sha1:U37UMG3HD3KQ2DIWUCLUKNFL6NZHW5TM\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2023/CC-MAIN-2023-14/CC-MAIN-2023-14_segments_1679296943471.24_warc_CC-MAIN-20230320083513-20230320113513-00565.warc.gz\"}"}
https://www.vutbr.cz/en/students/courses/detail/209371?apid=209371	[ "Course detail\n\n# Signals and Systems\n\nThis module provides an introduction to the linear time-invariant continuous- and discrete-time signals and systems. Students are introduced with the various methods of description and analysis of the continuous- and discrete-time signals and systems: time domain, frequenc...	[ null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.83098996,"math_prob":0.85611725,"size":4148,"snap":"2021-31-2021-39","text_gpt3_token_len":844,"char_repetition_ratio":0.15781853,"word_repetition_ratio":0.07760141,"special_character_ratio":0.19623916,"punctuation_ratio":0.15804598,"nsfw_num_words":1,"has_unicode_error":false,"math_prob_llama3":0.9589677,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2021-07-29T08:27:19Z\",\"WARC-Record-ID\":\"<urn:uuid:8a93fb85-c2e1-450a-b013-e38c41d0e817>\",\"Content-Length\":\"59292\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:148a7aab-07e5-4b28-873d-2f2b3af56d1e>\",\"WARC-Concurrent-To\":\"<urn:uuid:bc73af39-449d-43a2-a60f-f1a0e0815220>\",\"WARC-IP-Address\":\"147.229.2.90\",\"WARC-Target-URI\":\"https://www.vutbr.cz/en/students/courses/detail/209371?apid=209371\",\"WARC-Payload-Digest\":\"sha1:W4Z3I4P6FMWMLFA67UEDFLMCIF7UYNTM\",\"WARC-Block-Digest\":\"sha1:4ISKVC4CK4LH34AZKYJ2737DPO3TQLAQ\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2021/CC-MAIN-2021-31/CC-MAIN-2021-31_segments_1627046153854.42_warc_CC-MAIN-20210729074313-20210729104313-00454.warc.gz\"}"}
https://gamedev.stackexchange.com/questions/53419/animating-a-background-pulse-with-easing-equation	[ "# Animating a background 'pulse' with easing equation\n\nI'm trying to find a suitable easing equation (or other method) to animate an object so that it 'pulses' (imagine a 'spike' on a music visualiser, or see the image I drew badly below)", null, "'v' is the value I'm using to scale. 't1' and 't2' mark the e...	[ null, "https://i.stack.imgur.com/D2l1N.png", null, "https://i.stack.imgur.com/KuTGh.png", null, "https://i.stack.imgur.com/COWKf.png", null, "https://i.stack.imgur.com/B4Qst.png", null, "https://i.stack.imgur.com/fAb9r.png", null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.9600001,"math_prob":0.9240426,"size":513,"snap":"2021-04-2021-17","text_gpt3_token_len":134,"char_repetition_ratio":0.08840864,"word_repetition_ratio":0.0,"special_character_ratio":0.24951267,"punctuation_ratio":0.06542056,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.96444654,"pos_list":[0,1,2,3,4,5,6,7,8,9,10],"im_url_duplicate_count":[null,3,null,3,null,3,null,3,null,3,null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2021-01-19T06:07:12Z\",\"WARC-Record-ID\":\"<urn:uuid:1b5a471c-32fc-487f-aeeb-f1ab240fd642>\",\"Content-Length\":\"164148\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:49171afb-2411-47da-bfdc-10a9738c11ab>\",\"WARC-Concurrent-To\":\"<urn:uuid:d3815b6f-0310-4801-aa38-f3e5865f6ecf>\",\"WARC-IP-Address\":\"151.101.65.69\",\"WARC-Target-URI\":\"https://gamedev.stackexchange.com/questions/53419/animating-a-background-pulse-with-easing-equation\",\"WARC-Payload-Digest\":\"sha1:42XE5JJWQHMTRGCZMZ4VB7A64IJJG5MU\",\"WARC-Block-Digest\":\"sha1:EUQOXIY5QRTG2YMQQEHCXX2SMKVOELEV\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2021/CC-MAIN-2021-04/CC-MAIN-2021-04_segments_1610703517966.39_warc_CC-MAIN-20210119042046-20210119072046-00320.warc.gz\"}"}
https://www.vatsalsaglani.dev/leetcode/leetcode-167	[ "# Leetcode - 167: Two Sum II\n\n## The Two sum II problem is the extension of the Two Sum problem which can be solved using the pointers technique\n\nMEDIUM\n–––\n\nAs seen in the question Two Sum in Python using dictionary given a list of `integers` and a `target` integer the algorithm needs to return the indices...	[ null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.8410859,"math_prob":0.9853875,"size":1940,"snap":"2023-14-2023-23","text_gpt3_token_len":464,"char_repetition_ratio":0.14359504,"word_repetition_ratio":0.0,"special_character_ratio":0.2386598,"punctuation_ratio":0.079155676,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9993444,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2023-03-26T05:36:33Z\",\"WARC-Record-ID\":\"<urn:uuid:637d069a-c287-40d8-ad17-00f558b9edc4>\",\"Content-Length\":\"28213\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:4d171ff6-1706-44d2-851b-6d08d2dcf95a>\",\"WARC-Concurrent-To\":\"<urn:uuid:01bbe976-57ae-49ef-8ba9-167646fd0d32>\",\"WARC-IP-Address\":\"76.76.21.241\",\"WARC-Target-URI\":\"https://www.vatsalsaglani.dev/leetcode/leetcode-167\",\"WARC-Payload-Digest\":\"sha1:Y6XFAGV2RZYJZH6G4OFDTWCXMECDKPLV\",\"WARC-Block-Digest\":\"sha1:UNS5YYWI2ZHHGCO45OJ2AL3PYG2S43LS\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2023/CC-MAIN-2023-14/CC-MAIN-2023-14_segments_1679296945433.92_warc_CC-MAIN-20230326044821-20230326074821-00569.warc.gz\"}"}
https://spsstools.net/en/syntax/syntax-index/ranking-largest-values-sorting-grouping/calculate-mode/	[ "``` 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46``` ```*(Q)In my data set I have 4 categories of 5 questions each I would like to calculate the mode for each category for each subject, i.e., compute modecat1, modecat2, modecat3 and...	[ null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.5314019,"math_prob":0.9612735,"size":1455,"snap":"2023-40-2023-50","text_gpt3_token_len":485,"char_repetition_ratio":0.1026878,"word_repetition_ratio":0.0,"special_character_ratio":0.35670102,"punctuation_ratio":0.15522388,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9834556,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2023-09-24T04:03:08Z\",\"WARC-Record-ID\":\"<urn:uuid:3c612cac-ed3d-41f4-a5c3-7257c4493cea>\",\"Content-Length\":\"15402\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:3d668c57-b3a0-4941-9847-a65d34d92044>\",\"WARC-Concurrent-To\":\"<urn:uuid:3a7905ba-e146-4f83-bcdc-999debd039ab>\",\"WARC-IP-Address\":\"78.108.88.70\",\"WARC-Target-URI\":\"https://spsstools.net/en/syntax/syntax-index/ranking-largest-values-sorting-grouping/calculate-mode/\",\"WARC-Payload-Digest\":\"sha1:XOXV5GMEWUVNQ3H45ZSKGFDJUDZXJQJO\",\"WARC-Block-Digest\":\"sha1:RQ63WHOQZZTJBEJYLZ6VXGEBTBCVWV5U\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2023/CC-MAIN-2023-40/CC-MAIN-2023-40_segments_1695233506559.11_warc_CC-MAIN-20230924023050-20230924053050-00106.warc.gz\"}"}