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https://virtualnerd.com/algebra-1/linear-inequalities/solve-by-multiplication-division/solve-by-multiplication/word-problem-multiply-negative-example	[ "# How Do You Use Multiplication with Negative Numbers to Solve an Inequality Word Problem?\n\n### Note:\n\nThis tutorial provides a great real world application of math. See how to turn a word problem into an inequality. Then solve the inequality by performing the order of operations in reverse. Don't forget that ...	[ null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.94792205,"math_prob":0.97966886,"size":384,"snap":"2021-31-2021-39","text_gpt3_token_len":73,"char_repetition_ratio":0.14736842,"word_repetition_ratio":0.0,"special_character_ratio":0.18489583,"punctuation_ratio":0.08571429,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.99454993,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2021-09-28T22:55:59Z\",\"WARC-Record-ID\":\"<urn:uuid:1daad690-f1b6-41df-9623-b4745a770670>\",\"Content-Length\":\"31337\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:bf3f9655-ae23-4178-911a-98aa7dda3bfe>\",\"WARC-Concurrent-To\":\"<urn:uuid:975c56da-1e0f-46ad-83e8-0f538ad7cd5f>\",\"WARC-IP-Address\":\"52.85.151.40\",\"WARC-Target-URI\":\"https://virtualnerd.com/algebra-1/linear-inequalities/solve-by-multiplication-division/solve-by-multiplication/word-problem-multiply-negative-example\",\"WARC-Payload-Digest\":\"sha1:AWQNFBXLZ2FEAPWV3ERKLAR42TF5I6FY\",\"WARC-Block-Digest\":\"sha1:QDJDQ7YT3I7FCOZILZYGIWYNQOBA5C7B\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2021/CC-MAIN-2021-39/CC-MAIN-2021-39_segments_1631780060908.47_warc_CC-MAIN-20210928214438-20210929004438-00345.warc.gz\"}"}
https://samuelstevens.me/writing/python-multiprocessing	[ "# Behold, My Stuff\n\n[Home] [Writing] [CV] [GitHub] [Email]\n\n# `multiprocessing.Queue` in Python\n\nI tried to use the `multiprocessing` version of `Queue` rather than the threaded version (`queue.Queue`) and found that without `task_done()` and `Queue.join()` I didn’t understand how to actually end a queue. Th...	[ null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.75405645,"math_prob":0.86389273,"size":3282,"snap":"2023-40-2023-50","text_gpt3_token_len":899,"char_repetition_ratio":0.12324588,"word_repetition_ratio":0.32007575,"special_character_ratio":0.29219988,"punctuation_ratio":0.16877638,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9920553,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2023-09-30T20:41:28Z\",\"WARC-Record-ID\":\"<urn:uuid:b0312741-e8ef-45d9-9fc1-c8855bddd411>\",\"Content-Length\":\"21439\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:5aa2e3dc-7e13-416e-b2e6-1a6a2df5627b>\",\"WARC-Concurrent-To\":\"<urn:uuid:43d0f5f8-bbb8-46f1-ba57-1e68c30d4f3c>\",\"WARC-IP-Address\":\"185.199.110.153\",\"WARC-Target-URI\":\"https://samuelstevens.me/writing/python-multiprocessing\",\"WARC-Payload-Digest\":\"sha1:WPZZKWVXBHTF44T6ZWWG3R6HADQNWD7V\",\"WARC-Block-Digest\":\"sha1:T3EWFKU4TECPS36YO4UDCTTCDR76ZPAI\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2023/CC-MAIN-2023-40/CC-MAIN-2023-40_segments_1695233510707.90_warc_CC-MAIN-20230930181852-20230930211852-00054.warc.gz\"}"}
https://www.geeksforgeeks.org/program-to-check-if-n-is-a-centered-hexagonal-number/	[ "Related Articles\n\n# Program to check if N is a Centered Hexagonal Number\n\n• Last Updated : 16 Jul, 2021\n\nGiven an integer N, the task is to check if N is a Centered Hexagonal Number or not. If the number N is a Centered Hexagonal Number then print “Yes” else print “No”.\n\nCentered hexagonal number are figur...	[ null, "https://www.geeksforgeeks.org/wp-content/ql-cache/quicklatex.com-c78758d64ecdc5cca0b05023c410d2c3_l3.png", null, "https://www.geeksforgeeks.org/wp-content/ql-cache/quicklatex.com-7accc3126af69a9a257fa49e3b6844d9_l3.png", null, "https://www.geeksforgeeks.org/wp-content/ql-cache/quicklatex.com-910563...	{"ft_lang_label":"__label__en","ft_lang_prob":0.74375725,"math_prob":0.957311,"size":4046,"snap":"2021-31-2021-39","text_gpt3_token_len":1155,"char_repetition_ratio":0.20212767,"word_repetition_ratio":0.30614972,"special_character_ratio":0.29807216,"punctuation_ratio":0.10393258,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.99398357,"pos_list":[0,1,2,3,4,5,6],"im_url_duplicate_count":[null,3,null,2,null,2,null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2021-07-30T20:12:54Z\",\"WARC-Record-ID\":\"<urn:uuid:68a95e8b-4f29-446b-9b60-b647bf3dc7e4>\",\"Content-Length\":\"131151\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:d4da4989-b2c5-4eac-b78d-f8c3b64dd8e9>\",\"WARC-Concurrent-To\":\"<urn:uuid:52c6481a-3541-4160-804b-30ad23468fb1>\",\"WARC-IP-Address\":\"23.199.63.65\",\"WARC-Target-URI\":\"https://www.geeksforgeeks.org/program-to-check-if-n-is-a-centered-hexagonal-number/\",\"WARC-Payload-Digest\":\"sha1:37V4L7SNHZJHB7DWDGQMMBUVPDKB4Z6N\",\"WARC-Block-Digest\":\"sha1:U3PAVDALADF4EAMJ7CGOHXPV3UH4SGZ4\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2021/CC-MAIN-2021-31/CC-MAIN-2021-31_segments_1627046153980.55_warc_CC-MAIN-20210730185206-20210730215206-00558.warc.gz\"}"}
https://www.quantum-espresso.stage.24h.it/Doc/INPUT_BANDS.html	[ "# Input File Description\n\n## Program: bands.x / PWscf / Quantum Espresso (version: 7.0)\n\nINTRODUCTION\n\n&BANDS\n\nprefix \| outdir \| filband \| spin_component \| lsigma \| lp \| filp \| lsym \| no_overlap \| plot_2d \| firstk \| lastk\n\n### INTRODUCTION\n\nPurpose of bands.x:\nRe-order bands, computes band-related pro...	[ null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.779272,"math_prob":0.6536606,"size":3300,"snap":"2023-14-2023-23","text_gpt3_token_len":905,"char_repetition_ratio":0.114987865,"word_repetition_ratio":0.027131783,"special_character_ratio":0.25242424,"punctuation_ratio":0.16925466,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9615336,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2023-03-31T10:21:05Z\",\"WARC-Record-ID\":\"<urn:uuid:51f0462a-fbd0-4c4e-906c-f46a6e6c414b>\",\"Content-Length\":\"15452\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:f1cfe7c4-9e11-420e-8f40-93f2c666e63a>\",\"WARC-Concurrent-To\":\"<urn:uuid:b908c3af-925b-4dd7-a373-d967bcbc6abf>\",\"WARC-IP-Address\":\"62.48.49.123\",\"WARC-Target-URI\":\"https://www.quantum-espresso.stage.24h.it/Doc/INPUT_BANDS.html\",\"WARC-Payload-Digest\":\"sha1:TGQF2CFY7J2ELXPO5U3IZS2MES5BWRBY\",\"WARC-Block-Digest\":\"sha1:K4EDUI6JUWKRY3W7TNKXHSAKPHM4X243\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2023/CC-MAIN-2023-14/CC-MAIN-2023-14_segments_1679296949598.87_warc_CC-MAIN-20230331082653-20230331112653-00728.warc.gz\"}"}
https://www.vexforum.com/t/how-do-i-make-tank-control-with-fixed-speed-percentage/77508	[ "# How do I make tank control with fixed speed percentage?\n\nint main() {\n// Initializing Robot Configuration. DO NOT REMOVE!\nvexcodeInit();\n\n// Deadband stops the motors when Axis values are close to zero.\n\nwhile (true) {\n// Get the velocity percentage of the left motor. (Axis3)\nint leftMotorSpeed = Contr...	[ null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.67584544,"math_prob":0.91950047,"size":1536,"snap":"2023-14-2023-23","text_gpt3_token_len":383,"char_repetition_ratio":0.16710183,"word_repetition_ratio":0.2,"special_character_ratio":0.26236978,"punctuation_ratio":0.17687075,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9759346,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2023-03-21T17:12:25Z\",\"WARC-Record-ID\":\"<urn:uuid:4475eadf-8e2d-4431-aa59-f19396bead2d>\",\"Content-Length\":\"31117\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:d4c31e0e-38a4-469b-b2cb-be6349013d80>\",\"WARC-Concurrent-To\":\"<urn:uuid:042ea3c2-b8dc-418f-90fc-396c5814777d>\",\"WARC-IP-Address\":\"104.245.182.28\",\"WARC-Target-URI\":\"https://www.vexforum.com/t/how-do-i-make-tank-control-with-fixed-speed-percentage/77508\",\"WARC-Payload-Digest\":\"sha1:N2BKIL44AWEWSEOMQBVI74UWQS5ED3JZ\",\"WARC-Block-Digest\":\"sha1:RRNJ6N6ZNYDNCFXG3FZZ5MASOGHM6ZSP\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2023/CC-MAIN-2023-14/CC-MAIN-2023-14_segments_1679296943704.21_warc_CC-MAIN-20230321162614-20230321192614-00489.warc.gz\"}"}
https://brilliant.org/problems/a-truefalse-question/	[ "# A true/false question\n\nAlgebra Level 1\n\nIf x and y are real numbers, $(x+y)^{2}$ is always equal to $(x^{2} + y^{2})$\n\n×" ]	[ null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.6350035,"math_prob":1.0000052,"size":210,"snap":"2020-45-2020-50","text_gpt3_token_len":75,"char_repetition_ratio":0.1699029,"word_repetition_ratio":0.0,"special_character_ratio":0.3952381,"punctuation_ratio":0.22807017,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9964428,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2020-10-21T14:21:16Z\",\"WARC-Record-ID\":\"<urn:uuid:cf249027-469d-4e28-8614-46394a55da24>\",\"Content-Length\":\"38876\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:fb30ad18-f50f-4dd6-bb65-daf6f83f7f1d>\",\"WARC-Concurrent-To\":\"<urn:uuid:b20d989e-5637-428a-b191-fe7f52084c52>\",\"WARC-IP-Address\":\"104.20.34.242\",\"WARC-Target-URI\":\"https://brilliant.org/problems/a-truefalse-question/\",\"WARC-Payload-Digest\":\"sha1:TZNK3SASTSBYW5SVIIUUQ2VZPIJGHBVZ\",\"WARC-Block-Digest\":\"sha1:4LADBLLJ6JCEBFV37CL7OXTT5XCIVQHA\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2020/CC-MAIN-2020-45/CC-MAIN-2020-45_segments_1603107876500.43_warc_CC-MAIN-20201021122208-20201021152208-00092.warc.gz\"}"}
https://www.geeksforgeeks.org/class-9-rd-sharma-solutions-chapter-8-introduction-to-lines-and-angles-exercise-8-2-set-2/?ref=leftbar-rightbar	[ "# Class 9 RD Sharma Solutions – Chapter 8 Introduction to Lines and Angles- Exercise 8.2 \| Set 2\n\n• Last Updated : 04 May, 2021\n\n### Question 11. In Figure, ACB is a line such that ∠DCA = 5x and ∠DCB = 4x. Find the value of x.", null, "Solution:\n\nAttention reader! All those who say programming isn't for...	[ null, "https://media.geeksforgeeks.org/wp-content/uploads/20210422151329/UntitledDiagram68.jpg", null, "https://www.geeksforgeeks.org/wp-content/ql-cache/quicklatex.com-9450b940b0b92e22161dcfe5f8672c89_l3.png", null, "https://media.geeksforgeeks.org/wp-content/uploads/20210422151328/UntitledDiagram69.jpg"...	{"ft_lang_label":"__label__en","ft_lang_prob":0.857203,"math_prob":0.99955213,"size":6607,"snap":"2021-43-2021-49","text_gpt3_token_len":2650,"char_repetition_ratio":0.14402544,"word_repetition_ratio":0.121830985,"special_character_ratio":0.36400786,"punctuation_ratio":0.13585435,"nsfw_num_words":1,"has_unicode_error":false,"math_prob_llama3":0.99951756,"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],"im_url_duplicate_count":[null,7,null,7,null,7,null,7,null,7,null,null,null,null,null,7,null,7,null,7,null,7,null,7,null,7,null,7,null,7,null,7,null,7,null,7,null,null,null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2021-10-27T11:27:02Z\",\"WARC-Record-ID\":\"<urn:uuid:f8d974d4-73ba-422f-8ab9-b7cb3c30c358>\",\"Content-Length\":\"134297\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:e7921442-f9a4-4b73-80f0-e4ec812f4c41>\",\"WARC-Concurrent-To\":\"<urn:uuid:7f5df3f1-154d-4e27-8838-3223498ece11>\",\"WARC-IP-Address\":\"23.40.62.58\",\"WARC-Target-URI\":\"https://www.geeksforgeeks.org/class-9-rd-sharma-solutions-chapter-8-introduction-to-lines-and-angles-exercise-8-2-set-2/?ref=leftbar-rightbar\",\"WARC-Payload-Digest\":\"sha1:2L2LDFL6LDQAQEUNVKLH6XDK7RQ5JRSN\",\"WARC-Block-Digest\":\"sha1:NQ5KLRC3T623CKQVQMBKEFSSAK5DAIE4\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2021/CC-MAIN-2021-43/CC-MAIN-2021-43_segments_1634323588113.25_warc_CC-MAIN-20211027084718-20211027114718-00602.warc.gz\"}"}
https://docs.opencv.org/4.5.2/d4/d93/group__img__hash.html	[ "", null, "OpenCV 4.5.2 Open Source Computer Vision\nThe module brings implementations of different image hashing algorithms.\n\n## Classes\n\nclass cv::img_hash::AverageHash\nComputes average hash value of the input image. More...\n\nclass cv::img_hash::BlockMeanHash\nImage hash based on block mean. More......	[ null, "https://docs.opencv.org/4.5.2/opencv-logo-small.png", null, "https://docs.opencv.org/4.5.2/attack_performance.JPG", null, "https://docs.opencv.org/4.5.2/hash_computation_chart.JPG", null, "https://docs.opencv.org/4.5.2/hash_comparison_chart.JPG", null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.5747758,"math_prob":0.7533462,"size":6508,"snap":"2021-31-2021-39","text_gpt3_token_len":1833,"char_repetition_ratio":0.20741083,"word_repetition_ratio":0.3,"special_character_ratio":0.2556853,"punctuation_ratio":0.26807472,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9763436,"pos_list":[0,1,2,3,4,5,6,7,8],"im_url_duplicate_count":[null,null,null,1,null,1,null,1,null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2021-08-02T00:27:01Z\",\"WARC-Record-ID\":\"<urn:uuid:f5203209-4774-4681-8301-bef5b61f74ac>\",\"Content-Length\":\"40717\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:5b414393-5fd5-411c-913c-030e70d10669>\",\"WARC-Concurrent-To\":\"<urn:uuid:d7208651-bfc6-40e6-9ebf-6a28b837f1ea>\",\"WARC-IP-Address\":\"207.38.86.214\",\"WARC-Target-URI\":\"https://docs.opencv.org/4.5.2/d4/d93/group__img__hash.html\",\"WARC-Payload-Digest\":\"sha1:ID76VIEHAOFADMV5MT6SAAL7THEUJBQQ\",\"WARC-Block-Digest\":\"sha1:67XIRGVQD26QUS5XLLKN7XZABKHSETJG\",\"WARC-Identified-Payload-Type\":\"application/xhtml+xml\",\"warc_filename\":\"/cc_download/warc_2021/CC-MAIN-2021-31/CC-MAIN-2021-31_segments_1627046154277.15_warc_CC-MAIN-20210801221329-20210802011329-00512.warc.gz\"}"}
https://metanumbers.com/255085500000001	[ "## 255085500000001\n\n255,085,500,000,001 (two hundred fifty-five trillion eighty-five billion five hundred million one) is an odd fifteen-digits composite number following 255085500000000 and preceding 255085500000002. In scientific notation, it is written as 2.55085500000001 × 1014. The sum of its digits is 31. ...	[ null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.6107974,"math_prob":0.98955566,"size":5488,"snap":"2021-31-2021-39","text_gpt3_token_len":1972,"char_repetition_ratio":0.14460248,"word_repetition_ratio":0.043541364,"special_character_ratio":0.53207,"punctuation_ratio":0.11633109,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.99423766,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2021-07-26T04:34:47Z\",\"WARC-Record-ID\":\"<urn:uuid:61c4ccaa-cbd8-4708-9cb8-aa58121295a7>\",\"Content-Length\":\"60912\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:a6d6f563-6253-47c9-8336-dd18a39897f3>\",\"WARC-Concurrent-To\":\"<urn:uuid:ed338a47-2902-49d0-a5c4-c62a9d92d738>\",\"WARC-IP-Address\":\"46.105.53.190\",\"WARC-Target-URI\":\"https://metanumbers.com/255085500000001\",\"WARC-Payload-Digest\":\"sha1:UVRXW7VYS4XTMQMSQUMTDYHW2LRALYIC\",\"WARC-Block-Digest\":\"sha1:PC6JFVL5YYOUK5REKQW6RJFNSYUIJJWB\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2021/CC-MAIN-2021-31/CC-MAIN-2021-31_segments_1627046152000.25_warc_CC-MAIN-20210726031942-20210726061942-00500.warc.gz\"}"}
https://flipcode.net/archives/String_Matching_In_Linear-Time.shtml	[ "", null, "This section of the archives stores flipcode's complete Developer Toolbox collection, featuring a variety of mini-articles and source code contributions from our readers.", null, "String Matching In Linear-Time Submitted by", null, "Hi, I noticed the queue seemed to be empty so here's a str...	[ null, "https://flipcode.net/archives/logo_toolbox.png", null, "https://flipcode.net/archives/icon_articles.png", null, "https://flipcode.net/archives/line_grey.png", null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.6455306,"math_prob":0.77184564,"size":4124,"snap":"2023-14-2023-23","text_gpt3_token_len":1076,"char_repetition_ratio":0.175,"word_repetition_ratio":0.14046822,"special_character_ratio":0.30237633,"punctuation_ratio":0.22010177,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.98428386,"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\":\"2023-03-23T04:10:44Z\",\"WARC-Record-ID\":\"<urn:uuid:ae3b6531-ddb3-4c2b-8864-1e66e6916db6>\",\"Content-Length\":\"12429\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:ad800807-930c-483a-8033-9f41007d7dcf>\",\"WARC-Concurrent-To\":\"<urn:uuid:9661a94a-fa95-42b3-b8f1-c4abf3921493>\",\"WARC-IP-Address\":\"52.4.205.129\",\"WARC-Target-URI\":\"https://flipcode.net/archives/String_Matching_In_Linear-Time.shtml\",\"WARC-Payload-Digest\":\"sha1:KIDK4PRZ63P4XATTKKYJ3RDP7CZCT63Q\",\"WARC-Block-Digest\":\"sha1:TB2BSQYY54ENKCSWW5BMWRMKF2YUC5TT\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2023/CC-MAIN-2023-14/CC-MAIN-2023-14_segments_1679296944996.49_warc_CC-MAIN-20230323034459-20230323064459-00039.warc.gz\"}"}
https://programmingpraxis.com/2016/04/22/gcd-sum/	[ "## GCD Sum\n\n### April 22, 2016\n\nToday’s exercise is inspired by A018804: Find the sum of the greatest common divisors gcd(k, n) for 1 ≤ kn.\n\nYour task is to write a function that finds the sum of the greatest common divisors. When you are finished, you are welcome to read or run a suggested solution, or to p...	[ null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.85801154,"math_prob":0.9664932,"size":1888,"snap":"2021-43-2021-49","text_gpt3_token_len":509,"char_repetition_ratio":0.097133756,"word_repetition_ratio":0.0127795525,"special_character_ratio":0.26271185,"punctuation_ratio":0.13032581,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.997599,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2021-12-03T03:37:09Z\",\"WARC-Record-ID\":\"<urn:uuid:bb453665-8402-4982-8a48-af131f3df1d7>\",\"Content-Length\":\"122095\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:952c8b21-8ed7-42f2-b71f-95563fe87c7e>\",\"WARC-Concurrent-To\":\"<urn:uuid:af3be3b4-616e-4d33-b9f8-8d8c6a1fc9cb>\",\"WARC-IP-Address\":\"192.0.78.25\",\"WARC-Target-URI\":\"https://programmingpraxis.com/2016/04/22/gcd-sum/\",\"WARC-Payload-Digest\":\"sha1:5TL75BTEOOXNSKFUMK66XNDJHJMQVRSM\",\"WARC-Block-Digest\":\"sha1:BB42ISOWCL6FIXNIKK6F5YTGKO2OP3YQ\",\"WARC-Identified-Payload-Type\":\"application/xhtml+xml\",\"warc_filename\":\"/cc_download/warc_2021/CC-MAIN-2021-49/CC-MAIN-2021-49_segments_1637964362589.37_warc_CC-MAIN-20211203030522-20211203060522-00361.warc.gz\"}"}
https://mathindemand.com/products/math-coloring-worksheets-bundle	[ "# Math Coloring Worksheets Bundle\n\nThis is a growing bundle! Currently there are 11 coloring worksheets. This includes:\n\n(1) Adding and Subtracting Integers Halloween Coloring Worksheet\n(2) Multiplying and Dividing Integers Halloween Coloring Worksheet\n(3) Adding and Subtracting Fractions Coloring Worksheet\...	[ null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.7280517,"math_prob":0.61679304,"size":901,"snap":"2023-40-2023-50","text_gpt3_token_len":198,"char_repetition_ratio":0.27759197,"word_repetition_ratio":0.033613447,"special_character_ratio":0.19866815,"punctuation_ratio":0.046153847,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.95362425,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2023-09-26T21:51:37Z\",\"WARC-Record-ID\":\"<urn:uuid:dd70c730-2ad2-4eda-bf45-e6b7a65de87e>\",\"Content-Length\":\"109642\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:66f61322-3021-4f32-bb37-df986db60a25>\",\"WARC-Concurrent-To\":\"<urn:uuid:c3962bde-7782-441d-82c1-da1297859d5e>\",\"WARC-IP-Address\":\"23.227.38.65\",\"WARC-Target-URI\":\"https://mathindemand.com/products/math-coloring-worksheets-bundle\",\"WARC-Payload-Digest\":\"sha1:DOL2MADKETJSRSXTM7ICNLTWZGL2J6PS\",\"WARC-Block-Digest\":\"sha1:TVELI7QBEW3D5EKOG2DPS3MI2P2IFLAC\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2023/CC-MAIN-2023-40/CC-MAIN-2023-40_segments_1695233510225.44_warc_CC-MAIN-20230926211344-20230927001344-00462.warc.gz\"}"}
https://www.asvabtestbank.com/arithmetic-reasoning/t/76/q/practice-test/25134/5	[ "## ASVAB Arithmetic Reasoning Operations on Exponents Practice Test 25134\n\n Questions 5 Focus Operations on Exponents Topics Defining Exponents Question Type Questions\n\n#### Study Guide\n\n###### Defining Exponents\n\nAn exponent (cbe) consists of coefficient (c) and a base (b) raised to a power (e). The expon...	[ null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.8387243,"math_prob":0.96616346,"size":373,"snap":"2021-21-2021-25","text_gpt3_token_len":100,"char_repetition_ratio":0.17073171,"word_repetition_ratio":0.03076923,"special_character_ratio":0.2707775,"punctuation_ratio":0.04347826,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9831276,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2021-05-16T12:17:56Z\",\"WARC-Record-ID\":\"<urn:uuid:9b169adb-9a99-42da-9aab-49b042fe85d8>\",\"Content-Length\":\"9660\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:2fb6daff-b16d-42ee-a51f-34e4b7af6b02>\",\"WARC-Concurrent-To\":\"<urn:uuid:676b40fd-6c68-4e60-8142-c500538ae981>\",\"WARC-IP-Address\":\"68.183.116.70\",\"WARC-Target-URI\":\"https://www.asvabtestbank.com/arithmetic-reasoning/t/76/q/practice-test/25134/5\",\"WARC-Payload-Digest\":\"sha1:K6VXPWOFEYQXXYMPWEODWJCZM54SG25D\",\"WARC-Block-Digest\":\"sha1:MJGVI7KDS4CSWHV52JP5XYJZAXLS5OZ6\",\"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-20210516105746-20210516135746-00571.warc.gz\"}"}
http://www.monkeybreadsoftware.net/example-chartdirector-surfaceperspective.shtml	[ "Platforms to show: All Mac Windows Linux Cross-Platform\n\n/ChartDirector/surfaceperspective\nFunction:\nRequired plugins for this example: MBS ChartDirector Plugin\nYou find this example project in your Plugins Download as a Xojo project file within the examples folder: /ChartDirector/surfaceperspective\nThis exa...	[ null, "http://www.monkeybreadsoftware.net/images/xojoplugin.png", null, "http://www.monkeybreadsoftware.net/images/olark.png", null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.5188909,"math_prob":0.97567266,"size":3353,"snap":"2019-51-2020-05","text_gpt3_token_len":1033,"char_repetition_ratio":0.1403404,"word_repetition_ratio":0.199187,"special_character_ratio":0.30181926,"punctuation_ratio":0.16534181,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9784374,"pos_list":[0,1,2,3,4],"im_url_duplicate_count":[null,null,null,null,null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2020-01-29T04:37:03Z\",\"WARC-Record-ID\":\"<urn:uuid:c152b7fe-e18b-45e9-a302-8ff74db2a77b>\",\"Content-Length\":\"30013\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:fb89e06c-a6c7-4e29-824e-fc77df698b23>\",\"WARC-Concurrent-To\":\"<urn:uuid:e1f56e6a-96e3-4de3-a36b-d54bde20ccde>\",\"WARC-IP-Address\":\"109.239.53.23\",\"WARC-Target-URI\":\"http://www.monkeybreadsoftware.net/example-chartdirector-surfaceperspective.shtml\",\"WARC-Payload-Digest\":\"sha1:NE773YS3TQ62UXNAQEKKLP3VPZTVEO44\",\"WARC-Block-Digest\":\"sha1:7ZFOO6B2WMOICWO3ASVQRCM3EKLOKELX\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2020/CC-MAIN-2020-05/CC-MAIN-2020-05_segments_1579251788528.85_warc_CC-MAIN-20200129041149-20200129071149-00001.warc.gz\"}"}
http://dondun.com/information/mathematics/index.html	[ "# Useful Calculations\n\nIs Primen:r:\nNext Prime\nPrime Factors\nHCF/LCM\nFactorial\nnCr\nnPr\nPoisson Mean: Number:\nBinomial Number:Selection: Prob:\nNormal From x = to x = Mean:St Devn:\nPolynomial Coeffs * Value of x:\nPolygons\nDtaw of coloured ballsNumber and colour of balls to be drawn Red:Green: Blue:\nSu...	[ null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.8732719,"math_prob":0.9696079,"size":264,"snap":"2021-31-2021-39","text_gpt3_token_len":77,"char_repetition_ratio":0.13846155,"word_repetition_ratio":0.0,"special_character_ratio":0.26136363,"punctuation_ratio":0.018518519,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9776413,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2021-07-30T08:12:39Z\",\"WARC-Record-ID\":\"<urn:uuid:04ac79ea-60a7-40be-8c1c-98afcab16ee4>\",\"Content-Length\":\"4273\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:be5e09d4-8f33-428c-a01b-2bf72e08e05c>\",\"WARC-Concurrent-To\":\"<urn:uuid:d4baab64-20da-4613-a20a-ea420ca6b2ed>\",\"WARC-IP-Address\":\"217.160.0.241\",\"WARC-Target-URI\":\"http://dondun.com/information/mathematics/index.html\",\"WARC-Payload-Digest\":\"sha1:VZMHYJN6VXAQFAOAO7NUSXFOKREQZPKN\",\"WARC-Block-Digest\":\"sha1:QRKJBYJZ53LZIQQW5YCUR4IRYBWW7KGU\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2021/CC-MAIN-2021-31/CC-MAIN-2021-31_segments_1627046153934.85_warc_CC-MAIN-20210730060435-20210730090435-00212.warc.gz\"}"}
https://zbmath.org/?q=an:1038.47501	[ "# zbMATH — the first resource for mathematics\n\nCovering dimension and differential inclusions. (English) Zbl 1038.47501\nLower semicontinuous multivalued mappings $$\\Phi$$, $$\\Psi : X \\to 2^Y$$ are considered, where $$X$$, $$Y$$ are Banach spaces. Under some assumptions (closedness and convexity of the values...	[ null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.755253,"math_prob":0.99985766,"size":973,"snap":"2021-43-2021-49","text_gpt3_token_len":313,"char_repetition_ratio":0.090815276,"word_repetition_ratio":0.04477612,"special_character_ratio":0.34326825,"punctuation_ratio":0.24598931,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9999753,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2021-12-09T04:15:56Z\",\"WARC-Record-ID\":\"<urn:uuid:83452d23-02d3-4e3b-8fa7-7663585f5d7a>\",\"Content-Length\":\"46657\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:5ed2e96e-c5de-4db2-ab4f-858249ec94e3>\",\"WARC-Concurrent-To\":\"<urn:uuid:fd80ef4b-87cf-4fe2-a8b6-89f8f6b3ac4c>\",\"WARC-IP-Address\":\"141.66.194.2\",\"WARC-Target-URI\":\"https://zbmath.org/?q=an:1038.47501\",\"WARC-Payload-Digest\":\"sha1:Z6JR3SSJQ4EPNUFLRGDYOMQ7BX66DOXM\",\"WARC-Block-Digest\":\"sha1:GL3IKZ5DBMKEVQISRMZE4UJO4EHRA7TT\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2021/CC-MAIN-2021-49/CC-MAIN-2021-49_segments_1637964363659.21_warc_CC-MAIN-20211209030858-20211209060858-00068.warc.gz\"}"}
https://braingenie.ck12.org/skills/103391/learn	[ "### Sample Problem\n\nThe perimeter of the un-shaded part of the figure below is cm.", null, "#### Solution\n\nThe perimeter is the sum of AB, BC, CD, DE, EF, FG, GH and HA. So it is (3 + 2) + (2 + 2 + 4) + 3 + 4 + (4 - 2) + 2 + 4 + 2 = 30 cm." ]	[ null, "https://s3.amazonaws.com/ck12bg.ck12.org/curriculum/103391/1.png", null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.8607245,"math_prob":0.99984646,"size":195,"snap":"2020-45-2020-50","text_gpt3_token_len":85,"char_repetition_ratio":0.13612565,"word_repetition_ratio":0.0,"special_character_ratio":0.4974359,"punctuation_ratio":0.16666667,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.99579334,"pos_list":[0,1,2],"im_url_duplicate_count":[null,1,null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2020-10-22T04:18:57Z\",\"WARC-Record-ID\":\"<urn:uuid:fae5788b-64d2-4f79-a032-c3d72709d86f>\",\"Content-Length\":\"2893\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:2bc100b3-34e6-4bae-8752-ab481b698a3d>\",\"WARC-Concurrent-To\":\"<urn:uuid:293c9831-f2dc-4c63-ae34-72af153b93ac>\",\"WARC-IP-Address\":\"54.236.247.140\",\"WARC-Target-URI\":\"https://braingenie.ck12.org/skills/103391/learn\",\"WARC-Payload-Digest\":\"sha1:LHJPPAGHAQ2OQD3WXNBESUANH6DGT5UK\",\"WARC-Block-Digest\":\"sha1:SVMZI24ETH25NRFWBNY2IHA6NMR6JAAD\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2020/CC-MAIN-2020-45/CC-MAIN-2020-45_segments_1603107878879.33_warc_CC-MAIN-20201022024236-20201022054236-00625.warc.gz\"}"}
http://share.web-tinker.com/SimpleWebGL.Matrix.1.0.html	[ "• Matrix\n• 版本：1.0\n• 程序链接：http://www.web-tinker.com/files/SimpleWebGL.Matrix.1.0.js\n• 描述：一个SimpleWebGL的矩阵插件，用于处理一些简单的矩阵计算。\n• 继承于：Array\n• 构造器\n• new Matrix(Number dimension)\n• 描述: 生成一个指定矩阵阶数的单位矩阵。\n• 参数说明:\n• dimension: 一个大于1的整数。\n• new Matrix(Array data)\n• 描述: 使用现有数据生成一个矩阵。\n• 参数说明:\n• data: 存放数据的数组，该数组长度必须是...	[ null ]	{"ft_lang_label":"__label__zh","ft_lang_prob":0.9291811,"math_prob":0.9954531,"size":2427,"snap":"2019-26-2019-30","text_gpt3_token_len":1519,"char_repetition_ratio":0.2150227,"word_repetition_ratio":0.17554858,"special_character_ratio":0.31479192,"punctuation_ratio":0.2740047,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.996694,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2019-07-18T04:35:46Z\",\"WARC-Record-ID\":\"<urn:uuid:061a4c62-4192-4673-b278-5ab4b7680469>\",\"Content-Length\":\"10448\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:54b50524-c443-43b4-8479-293c1687c785>\",\"WARC-Concurrent-To\":\"<urn:uuid:21c2c4de-938f-441a-b483-a62f63872b46>\",\"WARC-IP-Address\":\"47.90.22.219\",\"WARC-Target-URI\":\"http://share.web-tinker.com/SimpleWebGL.Matrix.1.0.html\",\"WARC-Payload-Digest\":\"sha1:JAJ7DWKZNYTC2WCCV5HUTI2ULVSYYY2C\",\"WARC-Block-Digest\":\"sha1:TEZ6ZRRCP6YMYSUM75COSMJJOQFYAAGT\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2019/CC-MAIN-2019-30/CC-MAIN-2019-30_segments_1563195525500.21_warc_CC-MAIN-20190718042531-20190718064531-00216.warc.gz\"}"}
https://au.mathworks.com/help/wavelet/ug/continuous-wavelet-analysis-of-modulated-signals.html	[ "# Continuous Wavelet Analysis of Modulated Signals\n\nThis example shows how to use the continuous wavelet transform (CWT) to analyze modulated signals.\n\nLoad a quadratic chirp signal. The signal's frequency begins at approximately 500 Hz at t = 0, decreases to 100 Hz at t=2, and increases back to 500 Hz at t=4....	[ null, "https://au.mathworks.com/help/examples/wavelet/win64/TimeFrequencyAnalysisWithTheCWTExample_01.png", null, "https://au.mathworks.com/help/examples/wavelet/win64/TimeFrequencyAnalysisWithTheCWTExample_02.png", null, "https://au.mathworks.com/help/examples/wavelet/win64/TimeFrequencyAnalysisWithTheCW...	{"ft_lang_label":"__label__en","ft_lang_prob":0.84958655,"math_prob":0.96766603,"size":1974,"snap":"2020-24-2020-29","text_gpt3_token_len":516,"char_repetition_ratio":0.11370558,"word_repetition_ratio":0.0071174377,"special_character_ratio":0.24164134,"punctuation_ratio":0.16666667,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.97128415,"pos_list":[0,1,2,3,4,5,6,7,8],"im_url_duplicate_count":[null,1,null,1,null,1,null,null,null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2020-07-08T05:03:47Z\",\"WARC-Record-ID\":\"<urn:uuid:11c02f9a-19c9-456d-ae58-0e361f568ed4>\",\"Content-Length\":\"68662\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:aa9c64c1-0253-429e-b9f0-a00f8c3126d8>\",\"WARC-Concurrent-To\":\"<urn:uuid:5666c613-790d-46b8-95aa-e7a77792d634>\",\"WARC-IP-Address\":\"23.66.56.59\",\"WARC-Target-URI\":\"https://au.mathworks.com/help/wavelet/ug/continuous-wavelet-analysis-of-modulated-signals.html\",\"WARC-Payload-Digest\":\"sha1:ONM4NZF4RXLHG6OHTCBBD6MFGVJPOCT2\",\"WARC-Block-Digest\":\"sha1:EFBDW7AEISFT62ZE6ZOORPLCK57W6O5A\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2020/CC-MAIN-2020-29/CC-MAIN-2020-29_segments_1593655896374.33_warc_CC-MAIN-20200708031342-20200708061342-00000.warc.gz\"}"}
https://docs.lucee.org/reference/functions/log10.html	[ "# Log10\n\nCalculates the logarithm of number, to base 10.\n\n```Log10( number )\n```\n\nReturns: Number\n\nArgument Description\nnumber\nnumber, required\n\nPositive real number for which to calculate the logarithm\n\n#### Examples\n\nThe following code example will output an example number returned from the log1...	[ null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.59403753,"math_prob":0.9732813,"size":329,"snap":"2019-13-2019-22","text_gpt3_token_len":80,"char_repetition_ratio":0.16307692,"word_repetition_ratio":0.0,"special_character_ratio":0.24012157,"punctuation_ratio":0.09803922,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9976475,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2019-05-24T10:51:26Z\",\"WARC-Record-ID\":\"<urn:uuid:ce2cfce9-44a4-4e6c-b4bd-b979c1132e23>\",\"Content-Length\":\"45765\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:43ef9545-4b2d-45b3-ac74-19b5b139b089>\",\"WARC-Concurrent-To\":\"<urn:uuid:b99ea62a-2f4b-4094-ab98-28c7f3288450>\",\"WARC-IP-Address\":\"99.84.104.119\",\"WARC-Target-URI\":\"https://docs.lucee.org/reference/functions/log10.html\",\"WARC-Payload-Digest\":\"sha1:R7WIWFTIUYIDOBT4JTBQKQ5MBQQ4U6YL\",\"WARC-Block-Digest\":\"sha1:UDDABSEL4VGD3J56H4BHJO67VVSPJM4Q\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2019/CC-MAIN-2019-22/CC-MAIN-2019-22_segments_1558232257605.76_warc_CC-MAIN-20190524104501-20190524130501-00544.warc.gz\"}"}
https://cheatography.com/fanthom1234/cheat-sheets/python-note-sheet/	[ "Cheatography\n\n# Python Note Sheet by fanthom1234\n\n### Function\n\n input() Ask for information from user. print() Show information that we want on the scree. int() Change number to be number integer. float() Change number to be decimal. str() String. A list of number, letter, and symbol.\n\n### Math\n\n == e...	[ null, "https://api.ecologi.com/badges/cpw/5f87619570394d001d816113", null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.59816736,"math_prob":0.9880576,"size":1579,"snap":"2020-45-2020-50","text_gpt3_token_len":452,"char_repetition_ratio":0.14222223,"word_repetition_ratio":0.021201413,"special_character_ratio":0.25712475,"punctuation_ratio":0.10309278,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.97440803,"pos_list":[0,1,2],"im_url_duplicate_count":[null,null,null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2020-10-22T09:07:15Z\",\"WARC-Record-ID\":\"<urn:uuid:576bab53-1297-4bd4-a458-4ab611724618>\",\"Content-Length\":\"65190\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:c8a837f3-0e44-43c5-ad49-255760cc031d>\",\"WARC-Concurrent-To\":\"<urn:uuid:e84c0c48-6c61-4158-9805-4a6f1ba91f88>\",\"WARC-IP-Address\":\"178.79.154.177\",\"WARC-Target-URI\":\"https://cheatography.com/fanthom1234/cheat-sheets/python-note-sheet/\",\"WARC-Payload-Digest\":\"sha1:PK52L4HMEHDKIKHD5GPXV7NVEIES24OT\",\"WARC-Block-Digest\":\"sha1:A56K2CL7RSVZYDMBHQOB43L2JE6ATIZE\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2020/CC-MAIN-2020-45/CC-MAIN-2020-45_segments_1603107879362.3_warc_CC-MAIN-20201022082653-20201022112653-00638.warc.gz\"}"}
https://matheducators.stackexchange.com/questions/414/where-can-i-find-example-of-lagrange-multipliers-and-constrained-optimization	[ "# Where can I find example of Lagrange multipliers and constrained optimization?\n\nI want give some extra homework about Lagrange multipliers and constrained optimization. I am interested in examples that are complex (for example, those having more than two variables and more than one restriction). Where I can fi...	[ null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.8246835,"math_prob":0.86955,"size":1636,"snap":"2021-43-2021-49","text_gpt3_token_len":454,"char_repetition_ratio":0.11580882,"word_repetition_ratio":0.017167382,"special_character_ratio":0.27139366,"punctuation_ratio":0.15050167,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9987833,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2021-10-17T09:46:27Z\",\"WARC-Record-ID\":\"<urn:uuid:e3c5f633-289a-4040-94f0-005024e2caa0>\",\"Content-Length\":\"171205\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:f78866f7-83b8-4247-a418-344de64d0d5e>\",\"WARC-Concurrent-To\":\"<urn:uuid:197807df-dffd-41b0-a346-0521445d6ae7>\",\"WARC-IP-Address\":\"151.101.65.69\",\"WARC-Target-URI\":\"https://matheducators.stackexchange.com/questions/414/where-can-i-find-example-of-lagrange-multipliers-and-constrained-optimization\",\"WARC-Payload-Digest\":\"sha1:YLG5P3YBCZ4KUGTU6FFIHOBICFPRV62T\",\"WARC-Block-Digest\":\"sha1:BC3JFUY7YOYZWBDM3TJP3EGDK4GYPL63\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2021/CC-MAIN-2021-43/CC-MAIN-2021-43_segments_1634323585171.16_warc_CC-MAIN-20211017082600-20211017112600-00432.warc.gz\"}"}
https://www.global-sci.org/intro/article_detail/jcm/9366.html	[ "Volume 10, Issue 4\nOptimal Interpolation of Scattered Data on a Circular Domain with Boundary Conditions\n\nJ. Comp. Math., 10 (1992), pp. 339-347\n\nPublished online: 1992-10\n\nPreview Full PDF 189 1870\nExport citation\n\nCited by\n\n• Abstract\n\nOptimal interpolation problems of scattered data on a circular ...	[ null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.7119485,"math_prob":0.918088,"size":3074,"snap":"2021-21-2021-25","text_gpt3_token_len":883,"char_repetition_ratio":0.17687297,"word_repetition_ratio":0.39814815,"special_character_ratio":0.3458035,"punctuation_ratio":0.08203125,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.95410365,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2021-05-05T22:27:09Z\",\"WARC-Record-ID\":\"<urn:uuid:1ff7751e-ae4e-42e7-b06e-4ebcac92b461>\",\"Content-Length\":\"75863\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:d58f7fb6-4abd-498a-bae9-011c8432f81e>\",\"WARC-Concurrent-To\":\"<urn:uuid:60c0c5c5-3b18-40bf-8e53-8168d9b6ffe9>\",\"WARC-IP-Address\":\"47.52.67.10\",\"WARC-Target-URI\":\"https://www.global-sci.org/intro/article_detail/jcm/9366.html\",\"WARC-Payload-Digest\":\"sha1:ETIZ7BT5THEYO3BVPQUG2754WC24RDP4\",\"WARC-Block-Digest\":\"sha1:GUMH72LHYP5NNKEU4EARUDADFMU35XS3\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2021/CC-MAIN-2021-21/CC-MAIN-2021-21_segments_1620243988696.23_warc_CC-MAIN-20210505203909-20210505233909-00373.warc.gz\"}"}
https://documen.tv/use-the-number-line-below-where-rs-5y-5-st-2y-5-and-rt-66-a-what-is-the-value-of-y-b-find-rs-and-28292952-91/	[ "Question\n\nUse the number line below, where RS=5y +5, ST = 2y + 5, and RT= 66.\na. What is the value of y?\nb. Find RS and ST.\nR\na. What is the value of y?\n(Type an integer or a decimal.)\n\n1.", null, "Jezebel\nUse the number line below, where RS=5y +5, ST = 2y + 5, and RT= 66.The value of y=8,the value o...	[ null, "https://documen.tv/wp-content/litespeed/avatar/02ae93fd6ec71ade8be79bb94062ad66.jpg", null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.69203234,"math_prob":0.9995646,"size":242,"snap":"2023-14-2023-23","text_gpt3_token_len":92,"char_repetition_ratio":0.11344538,"word_repetition_ratio":0.5555556,"special_character_ratio":0.3966942,"punctuation_ratio":0.2112676,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9998387,"pos_list":[0,1,2],"im_url_duplicate_count":[null,null,null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2023-03-21T23:19:54Z\",\"WARC-Record-ID\":\"<urn:uuid:c1dd0c60-0b3a-4098-bea3-810bd6f03f91>\",\"Content-Length\":\"65647\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:7b6d9059-7792-46c8-906c-66b47a116a8e>\",\"WARC-Concurrent-To\":\"<urn:uuid:560ac428-fb9f-4148-acb7-6e50bc0f996e>\",\"WARC-IP-Address\":\"103.56.160.25\",\"WARC-Target-URI\":\"https://documen.tv/use-the-number-line-below-where-rs-5y-5-st-2y-5-and-rt-66-a-what-is-the-value-of-y-b-find-rs-and-28292952-91/\",\"WARC-Payload-Digest\":\"sha1:SZAWWMPNYRXCOPGVN3CKSLBEZFJVXBU6\",\"WARC-Block-Digest\":\"sha1:BJSF6SBMSKNTDK4MFCUNZSBGUV2VZZHW\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2023/CC-MAIN-2023-14/CC-MAIN-2023-14_segments_1679296943747.51_warc_CC-MAIN-20230321225117-20230322015117-00160.warc.gz\"}"}
https://optovr.com/number-patterns-grade-math-worksheets-combination-set-large-quadrilateral-3-test-ordering-decimals-converting-fractions-worksheet-square-root-4-patterning/	[ "# Number Patterns Grade Math Worksheets Combination Set Large Quadrilateral 3 Test Ordering Decimals Converting Fractions Worksheet Square Root 4 Patterning", null, "Number Patterns Grade Math Worksheets Combination Set Large Quadrilateral 3 Test Ordering Decimals Converting Fractions Worksheet Square Root 4 P...	[ null, "https://optovr.com/images/number-patterns-grade-math-worksheets-combination-set-large-quadrilateral-3-test-ordering-decimals-converting-fractions-worksheet-square-root-4-patterning.jpg", null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.77522737,"math_prob":0.8134035,"size":1270,"snap":"2021-04-2021-17","text_gpt3_token_len":224,"char_repetition_ratio":0.22748815,"word_repetition_ratio":0.17751479,"special_character_ratio":0.15826772,"punctuation_ratio":0.07978723,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9568775,"pos_list":[0,1,2],"im_url_duplicate_count":[null,1,null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2021-04-16T07:58:24Z\",\"WARC-Record-ID\":\"<urn:uuid:cb9f0018-e174-47f9-bf3f-25458ac69fb9>\",\"Content-Length\":\"22073\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:c2ce4ff2-7b65-449d-9b2d-d758bca468b4>\",\"WARC-Concurrent-To\":\"<urn:uuid:bb08d069-8c6d-4605-929b-8e094fb908cf>\",\"WARC-IP-Address\":\"172.67.133.61\",\"WARC-Target-URI\":\"https://optovr.com/number-patterns-grade-math-worksheets-combination-set-large-quadrilateral-3-test-ordering-decimals-converting-fractions-worksheet-square-root-4-patterning/\",\"WARC-Payload-Digest\":\"sha1:2HNBRPASGKQX4DQ6KL6LBDVMC6GWD7LE\",\"WARC-Block-Digest\":\"sha1:CB66R7ELG5HDZVOZP7ZXXGTE5UMHC3PA\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2021/CC-MAIN-2021-17/CC-MAIN-2021-17_segments_1618038088731.42_warc_CC-MAIN-20210416065116-20210416095116-00609.warc.gz\"}"}
https://asastandards.org/terms/interaural-cross-correlation/	[ "Select Page\n\n7.29 cross correlation; interaural cross correlation. Covariance of signals vs. time shift; i.e., the degree of similarity of a reference signal and a time-shifted signal, as a function of time shift or delay.\n\nAnnotation 1 The cross correlation is calculated as", null, "where T is the ...	[ null, "https://p2e2d2i6.rocketcdn.me/wp-content/uploads/2016/09/7.29-300x76.png", null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.8992806,"math_prob":0.9815331,"size":942,"snap":"2023-40-2023-50","text_gpt3_token_len":200,"char_repetition_ratio":0.17910448,"word_repetition_ratio":0.04347826,"special_character_ratio":0.20700637,"punctuation_ratio":0.14772727,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9797691,"pos_list":[0,1,2],"im_url_duplicate_count":[null,2,null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2023-10-03T06:47:48Z\",\"WARC-Record-ID\":\"<urn:uuid:8bf9dc3c-bad8-4947-bb4c-e1d83f715574>\",\"Content-Length\":\"201139\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:1312eec5-f23b-48fd-bb73-ea42ce0ecff3>\",\"WARC-Concurrent-To\":\"<urn:uuid:939ad085-eddc-442d-b5e4-155acf732e5f>\",\"WARC-IP-Address\":\"72.167.34.78\",\"WARC-Target-URI\":\"https://asastandards.org/terms/interaural-cross-correlation/\",\"WARC-Payload-Digest\":\"sha1:6P6JUU6VZNJMJEBZ7QEQIRXZ72T3U7BO\",\"WARC-Block-Digest\":\"sha1:6TQN5HFRZM4XER4VLEB45E4Z3H7WSTJ3\",\"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-20231003060619-20231003090619-00596.warc.gz\"}"}
https://discuss.codechef.com/t/digsmpar-editorial/100348	[ "", null, "# DIGSMPAR Editorial\n\nSetter: Srikkanth R\nTester: Harris Leung\nEditorialist: Pratiyush Mishra, Jakub Safin\n\nCakewalk\n\nBasic Arithmetic\n\n# PROBLEM:\n\nFor a positive integer M, let 𝚍𝚒𝚐𝚒𝚝𝚂𝚞𝚖(𝙼) be the sum of digits of the number M (when written in decimal).\n\nFor example, 𝚍𝚒𝚐𝚒𝚝...	[ null, "https://s3.amazonaws.com/discourseproduction/original/3X/7/f/7ffd6e5e45912aba9f6a1a33447d6baae049de81.svg", null, "https://discuss.codechef.com/images/emoji/apple/wave.png", null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.7489953,"math_prob":0.9917419,"size":1802,"snap":"2022-05-2022-21","text_gpt3_token_len":640,"char_repetition_ratio":0.1051168,"word_repetition_ratio":0.07717042,"special_character_ratio":0.30854607,"punctuation_ratio":0.13571429,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9994921,"pos_list":[0,1,2,3,4],"im_url_duplicate_count":[null,null,null,null,null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2022-05-27T14:34:25Z\",\"WARC-Record-ID\":\"<urn:uuid:2c4a6ac2-6a36-4c03-b7de-66a6553a8e8a>\",\"Content-Length\":\"41914\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:282b7ac1-2ddd-4eef-a8fd-ebf7a889e6a2>\",\"WARC-Concurrent-To\":\"<urn:uuid:992e3d48-866c-43a3-a82c-dcd435042a62>\",\"WARC-IP-Address\":\"3.231.242.28\",\"WARC-Target-URI\":\"https://discuss.codechef.com/t/digsmpar-editorial/100348\",\"WARC-Payload-Digest\":\"sha1:J3IHR5MU57QGZXXCW6ZR67JQW2JP65SR\",\"WARC-Block-Digest\":\"sha1:ZV5JVOWSWAHLTSZYJIKQG5K2T4FJZWGM\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2022/CC-MAIN-2022-21/CC-MAIN-2022-21_segments_1652662658761.95_warc_CC-MAIN-20220527142854-20220527172854-00272.warc.gz\"}"}
https://www.afbcash.live/live-casino/winning-for-roulette/	[ "# Winning for Roulette \| AFBCash.live", null, "## Roulette winning formula The best analytical techniques to do is get rich 2019\n\nThe success formula winning for roulette can be enriched every day. There are many different technologies for uploading to social media for us to choose to learn and apply. Bettin...	[ null, "https://www.afbcash.live/wp-content/uploads/2019/09/Afbcash-10-Bonus-01_Small-Banner_040719-300x216.jpg", null, "https://www.afbcash.live/wp-content/uploads/2019/09/Afbcash-Online-Casino-02_Web-Banner-280619-1024x417.jpg", null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.8908238,"math_prob":0.89388984,"size":2471,"snap":"2021-31-2021-39","text_gpt3_token_len":566,"char_repetition_ratio":0.15403324,"word_repetition_ratio":0.0,"special_character_ratio":0.2335087,"punctuation_ratio":0.07474747,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.955767,"pos_list":[0,1,2,3,4],"im_url_duplicate_count":[null,1,null,1,null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2021-09-17T18:57:03Z\",\"WARC-Record-ID\":\"<urn:uuid:a5362c9b-6169-44d8-94d9-1376513a8ca5>\",\"Content-Length\":\"33766\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:f2c8f242-e303-4eb1-b378-f24e713c4d55>\",\"WARC-Concurrent-To\":\"<urn:uuid:ab2d33ba-1990-4199-8536-544f1415e89a>\",\"WARC-IP-Address\":\"172.67.223.26\",\"WARC-Target-URI\":\"https://www.afbcash.live/live-casino/winning-for-roulette/\",\"WARC-Payload-Digest\":\"sha1:C53TRY6EU2OF6WESO7OOPB36NYMJZW7Z\",\"WARC-Block-Digest\":\"sha1:3CMZNVMBG7VRVMJBFKCVE6MMRKAYA6W4\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2021/CC-MAIN-2021-39/CC-MAIN-2021-39_segments_1631780055775.1_warc_CC-MAIN-20210917181500-20210917211500-00451.warc.gz\"}"}
http://blog-studia-historiae-scientiarum.pau.krakow.pl/foundations-of-mathematics-and-mathematical-practice-the-case-of-polish-mathematical-school/	[ "", null, "", null, "# Foundations of Mathematics and Mathematical Practice. The Case of Polish Mathematical School\n\nThe foundations of mathematics cover mathematical as well as philosophical problems. At the turn of the 20th century logicism, formalism and intuitionism, main foundational schools were dev...	[ null, "http://blog-studia-historiae-scientiarum.pau.krakow.pl/wp-content/uploads/2022/12/michael-dziedzic-nbW-kaz2BlE-unsplash-scaled.jpg", null, "http://blog-studia-historiae-scientiarum.pau.krakow.pl/wp-content/uploads/2022/12/michael-dziedzic-nbW-kaz2BlE-unsplash-scaled.jpg", null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.9422911,"math_prob":0.5688248,"size":1645,"snap":"2023-40-2023-50","text_gpt3_token_len":297,"char_repetition_ratio":0.18220598,"word_repetition_ratio":0.0,"special_character_ratio":0.16595745,"punctuation_ratio":0.12840466,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9833711,"pos_list":[0,1,2,3,4],"im_url_duplicate_count":[null,2,null,2,null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2023-12-05T01:20:19Z\",\"WARC-Record-ID\":\"<urn:uuid:7538c656-fb82-435f-8a80-4f5058ce9bf9>\",\"Content-Length\":\"28339\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:843e2dac-88a8-4d1e-abee-808a7f87e806>\",\"WARC-Concurrent-To\":\"<urn:uuid:3beaa7c9-492c-407e-ab4b-beebf8e83942>\",\"WARC-IP-Address\":\"149.156.51.35\",\"WARC-Target-URI\":\"http://blog-studia-historiae-scientiarum.pau.krakow.pl/foundations-of-mathematics-and-mathematical-practice-the-case-of-polish-mathematical-school/\",\"WARC-Payload-Digest\":\"sha1:VYGIWFUS4WQKVJTIJSSV4WV4KYNGIBPJ\",\"WARC-Block-Digest\":\"sha1:QUZ2YWNLYCLEVIBYUVTSAECGMK6V7FRX\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2023/CC-MAIN-2023-50/CC-MAIN-2023-50_segments_1700679100540.62_warc_CC-MAIN-20231205010358-20231205040358-00388.warc.gz\"}"}
https://nl.mathworks.com/matlabcentral/cody/problems/44950-calculate-inner-product/solutions/2237485	[ "Cody\n\n# Problem 44950. Calculate Inner Product\n\nSolution 2237485\n\nSubmitted on 26 Apr 2020 by Andrzej Mamczura\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 = [1 2]; y = [2;3]; z...	[ null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.63782394,"math_prob":0.99381787,"size":708,"snap":"2020-45-2020-50","text_gpt3_token_len":212,"char_repetition_ratio":0.12215909,"word_repetition_ratio":0.0,"special_character_ratio":0.3375706,"punctuation_ratio":0.125,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.99613124,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2020-10-25T14:39:46Z\",\"WARC-Record-ID\":\"<urn:uuid:03008de6-3ab1-41d8-a33b-926ddb0e7429>\",\"Content-Length\":\"80076\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:e8b96cd8-a27f-4a39-9370-1c367b5bb55e>\",\"WARC-Concurrent-To\":\"<urn:uuid:d6ff5978-de8c-4052-bd2e-a5c62c9f9d3f>\",\"WARC-IP-Address\":\"23.194.181.89\",\"WARC-Target-URI\":\"https://nl.mathworks.com/matlabcentral/cody/problems/44950-calculate-inner-product/solutions/2237485\",\"WARC-Payload-Digest\":\"sha1:DA3MNT4ORMCAQOJ3VM7ICJG5HG6JMJZY\",\"WARC-Block-Digest\":\"sha1:Q2MO6HJEN5BN4J64CUZXH3PONJY5SZRM\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2020/CC-MAIN-2020-45/CC-MAIN-2020-45_segments_1603107889173.38_warc_CC-MAIN-20201025125131-20201025155131-00267.warc.gz\"}"}
https://math.stackexchange.com/questions/615937/converting-from-spherical-coordinates-to-cartesian-around-arbitrary-vector-n	[ "# Converting from spherical coordinates to cartesian around arbitrary vector $N$\n\nSo if I'm given an arbitrary unit vector $N$ and another vector $V$ defined in spherical coordinates $\\theta$ (polar angle between $N$ and $V$) and $\\phi$ (azimuthal angle) and $r = 1$. How do I convert vector $V$ into cartesian ...	[ null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.88857925,"math_prob":0.99992955,"size":610,"snap":"2019-43-2019-47","text_gpt3_token_len":165,"char_repetition_ratio":0.1369637,"word_repetition_ratio":0.0,"special_character_ratio":0.2885246,"punctuation_ratio":0.07964602,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":1.0000069,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2019-11-12T13:04:14Z\",\"WARC-Record-ID\":\"<urn:uuid:3116341b-8934-488c-995f-f6e6a06aa3ad>\",\"Content-Length\":\"131999\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:c0dea9a5-9db6-4a0a-9c1d-6092031bcbd7>\",\"WARC-Concurrent-To\":\"<urn:uuid:46e5e71e-b193-4a36-8a97-ca63e17b87e2>\",\"WARC-IP-Address\":\"151.101.193.69\",\"WARC-Target-URI\":\"https://math.stackexchange.com/questions/615937/converting-from-spherical-coordinates-to-cartesian-around-arbitrary-vector-n\",\"WARC-Payload-Digest\":\"sha1:WOEWMKIFGLFVECRWK45SBNJXMXLVKQ4P\",\"WARC-Block-Digest\":\"sha1:Q4OIZ2U35N3K4ISTAPMEQY3NPOE46IHS\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2019/CC-MAIN-2019-47/CC-MAIN-2019-47_segments_1573496665573.50_warc_CC-MAIN-20191112124615-20191112152615-00290.warc.gz\"}"}
http://ixtrieve.fh-koeln.de/birds/litie/document/34780	[ "# Document (#34780)\n\nAuthor\nBehrens-Neumann, R.\nTitle\nAus der 55. Sitzung der Arbeitsgemeinschaft der Verbundsysteme am 5. und 6. November 2008 in Frankfurt am Main\nSource\nBibliotheksdienst. 43(2009) H.2, S.139-181\nYear\n2009\nSeries\nThemen: Gremien\nAbstract\nAm 5. und 6. November 2008 fand die 55. Sitzu...	[ null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.6310011,"math_prob":0.99526674,"size":18399,"snap":"2020-24-2020-29","text_gpt3_token_len":7196,"char_repetition_ratio":0.2245719,"word_repetition_ratio":0.6363636,"special_character_ratio":0.5205174,"punctuation_ratio":0.2810109,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9996506,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2020-07-05T03:03:47Z\",\"WARC-Record-ID\":\"<urn:uuid:c32f6a9f-b0eb-4b05-a581-b485613a5ee6>\",\"Content-Length\":\"33002\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:1ca9f145-9f10-4443-8f28-ac6cf660b569>\",\"WARC-Concurrent-To\":\"<urn:uuid:43eb8a0f-4c89-48ce-b3ed-09188f221c5a>\",\"WARC-IP-Address\":\"139.6.160.6\",\"WARC-Target-URI\":\"http://ixtrieve.fh-koeln.de/birds/litie/document/34780\",\"WARC-Payload-Digest\":\"sha1:PCUN6DMI5RR3LUWGPVKPWS3PKRFGEXPK\",\"WARC-Block-Digest\":\"sha1:E6BBNDWZVHC3MNTP2CJLX2JFUNZPQKRP\",\"WARC-Identified-Payload-Type\":\"application/xhtml+xml\",\"warc_filename\":\"/cc_download/warc_2020/CC-MAIN-2020-29/CC-MAIN-2020-29_segments_1593655886865.30_warc_CC-MAIN-20200705023910-20200705053910-00520.warc.gz\"}"}
https://www.nuclear-power.net/nuclear-power/reactor-physics/atomic-nuclear-physics/fundamental-interactions-fundamental-forces/electroweak-interaction/	[ "# Electroweak Interaction – Electroweak Force\n\n## Electroweak Interaction\n\nAlthough weak force is considered one of the four fundamental forces, at high energy the weak force and electromagnetic force are unified as a single electroweak force. The unification energy is on the order of 100 GeV. At low energies...	[ null, "https://www.nuclear-power.net/wp-content/uploads/weak-and-electromagnetic-interaction-253x300.png", null, "https://www.nuclear-power.net/wp-content/uploads/weak-interaction-weak-force-example-1024x262.png", null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.921594,"math_prob":0.8797843,"size":2671,"snap":"2020-45-2020-50","text_gpt3_token_len":540,"char_repetition_ratio":0.15710536,"word_repetition_ratio":0.0047281324,"special_character_ratio":0.18906777,"punctuation_ratio":0.089171976,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9671489,"pos_list":[0,1,2,3,4],"im_url_duplicate_count":[null,3,null,4,null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2020-10-25T13:55:49Z\",\"WARC-Record-ID\":\"<urn:uuid:ee20c044-9370-470c-a826-5926e8739b68>\",\"Content-Length\":\"442803\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:8e1f2e6f-057d-4857-8adc-f9d680a59a86>\",\"WARC-Concurrent-To\":\"<urn:uuid:79932a2a-64d4-4eb0-a380-e72e53ceb5b9>\",\"WARC-IP-Address\":\"104.24.125.229\",\"WARC-Target-URI\":\"https://www.nuclear-power.net/nuclear-power/reactor-physics/atomic-nuclear-physics/fundamental-interactions-fundamental-forces/electroweak-interaction/\",\"WARC-Payload-Digest\":\"sha1:I2HBACORXFI5RUXU5JDCR2K5TR2IQWKN\",\"WARC-Block-Digest\":\"sha1:UDZYTRT7CK7RYLXVBKUUCLAKA74XIAV7\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2020/CC-MAIN-2020-45/CC-MAIN-2020-45_segments_1603107889173.38_warc_CC-MAIN-20201025125131-20201025155131-00005.warc.gz\"}"}
http://ewyz.spectehnika-rb02.ru/calculate-bmi-centile-children.asp	[ "# Calculate bmi centile children\n\n## A simple guide to classifying body mass index in children https://khub.net › documents › A+simple+guide+to+classifying+body+mas...\n\nGirls with both parents overweight had the most rapid increases in bmi from 5. Bmi percentiles were used to determine the prevalence of overwe...	[ null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.9148901,"math_prob":0.89787555,"size":25741,"snap":"2020-34-2020-40","text_gpt3_token_len":5530,"char_repetition_ratio":0.2406652,"word_repetition_ratio":0.24101137,"special_character_ratio":0.20585836,"punctuation_ratio":0.10149919,"nsfw_num_words":2,"has_unicode_error":false,"math_prob_llama3":0.9532134,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2020-09-24T01:55:57Z\",\"WARC-Record-ID\":\"<urn:uuid:2c7d1c52-b27c-4519-a262-b3895ef6fe1a>\",\"Content-Length\":\"30456\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:4341fca6-6425-42d2-8288-b5af9b626a49>\",\"WARC-Concurrent-To\":\"<urn:uuid:70c6512a-b743-4e75-ac48-51f577e31ebc>\",\"WARC-IP-Address\":\"37.46.132.140\",\"WARC-Target-URI\":\"http://ewyz.spectehnika-rb02.ru/calculate-bmi-centile-children.asp\",\"WARC-Payload-Digest\":\"sha1:A4BXCXD7CJFXJOVMYIDNCKEJPAWDFBAA\",\"WARC-Block-Digest\":\"sha1:RJP5U4H2WHOC7YGMWXQTXTOKBM26KWAL\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2020/CC-MAIN-2020-40/CC-MAIN-2020-40_segments_1600400213006.47_warc_CC-MAIN-20200924002749-20200924032749-00754.warc.gz\"}"}
https://geotec.tongji.edu.cn/geotec_en/6a/e6/c25371a223974/page.htm	[ "Research", null, "Large In Small\n Analytical Solving Method to Steady-State Temperature Field of Artificial Ground Freezing Published：2015-01-02 Hits：1614 At present, AGF (artificial ground freezing) technique is a mature construction method, which has been widely used in such fields as mine engineering, tu...	[ null, "https://geotec.tongji.edu.cn/_upload/tpl/04/7f/1151/template1151/htmlRes/edit_add.png", null, "https://geotec.tongji.edu.cn/_upload/article/images/97/90/52c20d4647aca164f873bdfc6ed6/5f2da2ea-6914-467e-ae65-f68fab2a3e05.jpg", null, "https://geotec.tongji.edu.cn/_upload/article/images/97/90/52c20d464...	{"ft_lang_label":"__label__en","ft_lang_prob":0.93467695,"math_prob":0.8342182,"size":2797,"snap":"2023-40-2023-50","text_gpt3_token_len":500,"char_repetition_ratio":0.16004297,"word_repetition_ratio":0.04134367,"special_character_ratio":0.1626743,"punctuation_ratio":0.08869179,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9586728,"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],"im_url_duplicate_count":[null,1,null,1,null,1,null,1,null,1,null,1,null,1,null,1,null,1,null,1,null,1,null,1,null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2023-09-24T02:54:26Z\",\"WARC-Record-ID\":\"<urn:uuid:39dd8c44-b313-4863-86b0-897ca333c066>\",\"Content-Length\":\"17779\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:b5f99fde-0206-4e17-87b2-b48b12fae6e4>\",\"WARC-Concurrent-To\":\"<urn:uuid:299c364f-81dc-47d7-bcf2-14f0bbe9c29f>\",\"WARC-IP-Address\":\"222.66.109.32\",\"WARC-Target-URI\":\"https://geotec.tongji.edu.cn/geotec_en/6a/e6/c25371a223974/page.htm\",\"WARC-Payload-Digest\":\"sha1:SVZH6TP7NNZXBYJLOQDU4I3C2CAHPNIS\",\"WARC-Block-Digest\":\"sha1:2QUHXMM3ANAD3V62F6GTNHAUAEVHWGTF\",\"WARC-Identified-Payload-Type\":\"application/xhtml+xml\",\"warc_filename\":\"/cc_download/warc_2023/CC-MAIN-2023-40/CC-MAIN-2023-40_segments_1695233506559.11_warc_CC-MAIN-20230924023050-20230924053050-00836.warc.gz\"}"}
https://mgtoml.com/mg-to-ml-conversion/	[ "# MG to ML Conversion\n\nBy \|\n\n## mL to mg conversion – ml to mg calculator\n\nTo perform the reverse conversion, i.e., how many mg in ml, we rearrange the above equation in terms of mg, which gives:\n\n• `mg = 1000 * mL`\n\n## Example of mg to mL conversion\n\nLet’s say you have 5 grams of water, which is 5,000...	[ null, "https://i.pinimg.com/474x/11/d9/32/11d93217fce3e51a425dbaf522fa5720.jpg", null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.8735778,"math_prob":0.9828502,"size":545,"snap":"2021-43-2021-49","text_gpt3_token_len":146,"char_repetition_ratio":0.16820702,"word_repetition_ratio":0.13207547,"special_character_ratio":0.26605505,"punctuation_ratio":0.128,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.99785066,"pos_list":[0,1,2],"im_url_duplicate_count":[null,3,null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2021-10-20T13:41:23Z\",\"WARC-Record-ID\":\"<urn:uuid:70bcf393-a2f4-4981-8a81-c59ebeb93467>\",\"Content-Length\":\"33960\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:45d8f8dd-bd95-48c3-a270-e4742bbb8f24>\",\"WARC-Concurrent-To\":\"<urn:uuid:c1522eba-5ff2-4898-b026-0beaf020293b>\",\"WARC-IP-Address\":\"172.67.138.214\",\"WARC-Target-URI\":\"https://mgtoml.com/mg-to-ml-conversion/\",\"WARC-Payload-Digest\":\"sha1:5JZUSYCIHWB3J24BFHQJD6WWJHAMIUWP\",\"WARC-Block-Digest\":\"sha1:JM4Q2KJ4YNNOG33UNSW4PZJBFXT6WTZS\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2021/CC-MAIN-2021-43/CC-MAIN-2021-43_segments_1634323585321.65_warc_CC-MAIN-20211020121220-20211020151220-00210.warc.gz\"}"}
http://c.biancheng.net/view/6116.html	[ "# Java递归算法\n\n```public class Factorial {\nint fact(int n) {\nint result;\nif (n == 1) {\nreturn 1;\n}\nresult = fact(n - 1) * n;\nreturn result;\n}\n}\n\nclass Recursion {\npublic static void main(String args[]) {\nFactorial f = new Factorial();\nSystem.out.println(\"3的阶乘是 \" + f.fact(3));\nSystem.out.println(\"4...	[ null, "http://c.biancheng.net/templets/new/images/material/qrcode_original.png", null ]	{"ft_lang_label":"__label__zh","ft_lang_prob":0.96250963,"math_prob":0.995073,"size":3054,"snap":"2022-40-2023-06","text_gpt3_token_len":2512,"char_repetition_ratio":0.08295082,"word_repetition_ratio":0.34437087,"special_character_ratio":0.25703993,"punctuation_ratio":0.07032967,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.98250693,"pos_list":[0,1,2],"im_url_duplicate_count":[null,null,null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2022-10-02T10:24:11Z\",\"WARC-Record-ID\":\"<urn:uuid:3558042a-0b23-4540-92f5-60654c1b8e2a>\",\"Content-Length\":\"14968\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:5f3e7108-b34d-4f92-8889-e51ac60f61fd>\",\"WARC-Concurrent-To\":\"<urn:uuid:bb93c23f-c680-4a73-97b3-da196766358b>\",\"WARC-IP-Address\":\"47.246.23.231\",\"WARC-Target-URI\":\"http://c.biancheng.net/view/6116.html\",\"WARC-Payload-Digest\":\"sha1:QVVBOM5UWHNAXUGHBTNN3NQOB4KHVHFR\",\"WARC-Block-Digest\":\"sha1:6R2CZNQCCKFOHRDPEC6GM42XUZ666JYH\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2022/CC-MAIN-2022-40/CC-MAIN-2022-40_segments_1664030337307.81_warc_CC-MAIN-20221002083954-20221002113954-00454.warc.gz\"}"}
https://xmonkeys360.com/2020/02/23/how-to-use-oxyplot-chart-in-xamarin-ios/	[ "# How To Use Oxyplot Chart in Xamarin iOS\n\n### Introduction\n\nShowing data in a chart/graph is much easier to understand. In Xamarin iOS no default option to show the chart. We must use a third-party plugin to show charts. A lot of third-party plugins are paid like Syncfusion, Telerik. I recommend using Oxyplot...	[ null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.62017465,"math_prob":0.7923281,"size":7292,"snap":"2022-40-2023-06","text_gpt3_token_len":1887,"char_repetition_ratio":0.15573546,"word_repetition_ratio":0.42219916,"special_character_ratio":0.27262753,"punctuation_ratio":0.27003366,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9536127,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2022-09-25T08:21:03Z\",\"WARC-Record-ID\":\"<urn:uuid:913f2eb0-95ed-4484-b974-2678f7fcfaf9>\",\"Content-Length\":\"90485\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:b1e4aa11-33b6-4cd6-852a-31b66450cc5e>\",\"WARC-Concurrent-To\":\"<urn:uuid:f5d3a048-5d43-4d23-b90f-e0fb41bbcdd0>\",\"WARC-IP-Address\":\"13.67.9.4\",\"WARC-Target-URI\":\"https://xmonkeys360.com/2020/02/23/how-to-use-oxyplot-chart-in-xamarin-ios/\",\"WARC-Payload-Digest\":\"sha1:63NDUBXTOVIZDU6M4ZZVJZW72SFVOGQH\",\"WARC-Block-Digest\":\"sha1:54XREE76SOEV3Y2BZTIDQWOHRDK7AZZW\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2022/CC-MAIN-2022-40/CC-MAIN-2022-40_segments_1664030334515.14_warc_CC-MAIN-20220925070216-20220925100216-00356.warc.gz\"}"}
https://tex.stackexchange.com/questions/439244/using-answers-with-tasks	[ "I'm writing a book of maths problems. I need a way to present both the problems and their solutions at the end of the book.\n\nI worked out a way to get the problems and answers to look just as I would like them to, except for one thing.\n\nI like to use tasks for some problems that have multiple questions. Tasks ...	[ null, "https://i.stack.imgur.com/C8x5V.png", null, "https://i.stack.imgur.com/BpqYk.png", null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.6833356,"math_prob":0.86773604,"size":5983,"snap":"2019-26-2019-30","text_gpt3_token_len":1691,"char_repetition_ratio":0.1670848,"word_repetition_ratio":0.038922157,"special_character_ratio":0.23733912,"punctuation_ratio":0.05778302,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.98840094,"pos_list":[0,1,2,3,4],"im_url_duplicate_count":[null,2,null,2,null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2019-06-17T23:10:51Z\",\"WARC-Record-ID\":\"<urn:uuid:67e2e082-7954-4895-9960-4719b0e3cc2b>\",\"Content-Length\":\"144201\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:8e047d6a-3f84-46b6-b361-fac9481355f0>\",\"WARC-Concurrent-To\":\"<urn:uuid:9643a151-94c5-46da-b650-b1e9665787dc>\",\"WARC-IP-Address\":\"151.101.193.69\",\"WARC-Target-URI\":\"https://tex.stackexchange.com/questions/439244/using-answers-with-tasks\",\"WARC-Payload-Digest\":\"sha1:ZI7G3UUFNRWA5KDYWKF4C3BT2U7WA3LN\",\"WARC-Block-Digest\":\"sha1:7XVMLMZNL4KD5CNRQ5FERYBYF56JRSXG\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2019/CC-MAIN-2019-26/CC-MAIN-2019-26_segments_1560627998581.65_warc_CC-MAIN-20190617223249-20190618005249-00197.warc.gz\"}"}
https://arduino.stackexchange.com/questions/4451/counting-pulses-with-interrupt	[ "# Counting pulses with interrupt\n\nI have been trying to count pulses from a 12,500 Hz square wave to trigger an output. Here's the code I have so far. When the Arduino is reset it prints 315 to the serial over a 25 ms sample. 315 x 40 = 12600. Which seems to me it's working perfectly.\n\nMy only problem is it on...	[ null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.9143863,"math_prob":0.8580088,"size":3556,"snap":"2020-45-2020-50","text_gpt3_token_len":1149,"char_repetition_ratio":0.27195945,"word_repetition_ratio":0.15821813,"special_character_ratio":0.3844207,"punctuation_ratio":0.102564104,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.99182755,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2020-11-30T02:12:31Z\",\"WARC-Record-ID\":\"<urn:uuid:684c4b7a-870c-4389-83b7-1c9f466e7a02>\",\"Content-Length\":\"143006\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:bd523828-9ebb-4847-95f0-71fa04d76c10>\",\"WARC-Concurrent-To\":\"<urn:uuid:fae56ca8-7ac6-4aff-94a2-fd6641510d2e>\",\"WARC-IP-Address\":\"151.101.65.69\",\"WARC-Target-URI\":\"https://arduino.stackexchange.com/questions/4451/counting-pulses-with-interrupt\",\"WARC-Payload-Digest\":\"sha1:3T5TBRKRAX63E3QFCGMTEPBZXVRQU2S5\",\"WARC-Block-Digest\":\"sha1:VIA67H4WINFAHDI6PB2NTE77LKC7YR7Q\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2020/CC-MAIN-2020-50/CC-MAIN-2020-50_segments_1606141204453.65_warc_CC-MAIN-20201130004748-20201130034748-00111.warc.gz\"}"}