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https://forum.opencv.org/t/3dfilter-for-psf-image-richard-lucy-deconvolution/11829	[ "# 3DFilter for PSF image Richard-Lucy Deconvolution\n\nHello everyone,\n\nthe code posted below shows an implementation of a Richard-Lucy deconvolution, which is supposed to recover a blurred image using the point spread function. I found this on GitHub (RL_deconv/rl_deconv.cpp at master · chrrrisw/RL_deconv · Git...	[ null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.50534683,"math_prob":0.95681304,"size":4935,"snap":"2023-14-2023-23","text_gpt3_token_len":1470,"char_repetition_ratio":0.10606368,"word_repetition_ratio":0.034383953,"special_character_ratio":0.32705167,"punctuation_ratio":0.24569461,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.99634707,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2023-03-27T20:29:41Z\",\"WARC-Record-ID\":\"<urn:uuid:9a659431-ff2b-4938-99f0-dd87480d78a2>\",\"Content-Length\":\"26698\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:b1026078-bae7-4121-8a86-1c6ec06bf74c>\",\"WARC-Concurrent-To\":\"<urn:uuid:ae652a70-a6d3-4529-8939-7e281ce539df>\",\"WARC-IP-Address\":\"184.105.176.45\",\"WARC-Target-URI\":\"https://forum.opencv.org/t/3dfilter-for-psf-image-richard-lucy-deconvolution/11829\",\"WARC-Payload-Digest\":\"sha1:SCRHJAKWO35DCMLUU75QFQA766X2B7XL\",\"WARC-Block-Digest\":\"sha1:QOXLXMRB7IV4MMSLG6NQMNGKS6TKLEPT\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2023/CC-MAIN-2023-14/CC-MAIN-2023-14_segments_1679296948684.19_warc_CC-MAIN-20230327185741-20230327215741-00313.warc.gz\"}"}
https://www.khanacademy.org/math/old-ap-calculus-ab/ab-derivatives-advanced/ab-adv-derivatives-opt-vids/v/derivative-natural-logarithm	[ "If you're seeing this message, it means we're having trouble loading external resources on our website.\n\nIf you're behind a web filter, please make sure that the domains .kastatic.org and .kasandbox.org are unblocked.\n\n## AP®︎ Calculus AB (2017 edition)\n\n### Course: AP®︎ Calculus AB (2017 edition)>Unit 4\n...	[ null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.94916874,"math_prob":0.98571014,"size":6649,"snap":"2023-40-2023-50","text_gpt3_token_len":1937,"char_repetition_ratio":0.16809632,"word_repetition_ratio":0.072592594,"special_character_ratio":0.29673636,"punctuation_ratio":0.09357098,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.99846935,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2023-09-30T09:21:13Z\",\"WARC-Record-ID\":\"<urn:uuid:fcdd82fb-daf6-43be-89dd-9378dbf48f83>\",\"Content-Length\":\"1026006\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:b4988226-2445-4ea2-aeb7-c893b9f7f8f2>\",\"WARC-Concurrent-To\":\"<urn:uuid:386c4ad4-321f-4461-b7cf-e6f01dcb3b0a>\",\"WARC-IP-Address\":\"146.75.33.42\",\"WARC-Target-URI\":\"https://www.khanacademy.org/math/old-ap-calculus-ab/ab-derivatives-advanced/ab-adv-derivatives-opt-vids/v/derivative-natural-logarithm\",\"WARC-Payload-Digest\":\"sha1:QRQF5JYFN6JHIDAL5KUMSQLKQWUO65TD\",\"WARC-Block-Digest\":\"sha1:KQMELLKV5ZL75D4KRSBR4SWYC5WTARQ5\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2023/CC-MAIN-2023-40/CC-MAIN-2023-40_segments_1695233510671.0_warc_CC-MAIN-20230930082033-20230930112033-00270.warc.gz\"}"}
https://www.physicsforums.com/threads/another-viete-problem.236491/	[ "# Another Viete problem\n\n[SOLVED] another Viete problem\n\n## Homework Statement\n\nProve that for every positive integer n,\n\n$$\\Pi_{k=1}^n \\tan \\frac{k \\pi}{2n+1} = \\sqrt{2n+1}$$\n\n## Homework Equations\n\nhttp://en.wikipedia.org/wiki/Viète's_formulas\n\n## The Attempt at a Solution\n\nI cannot figure o...	[ null, "data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7", null, "data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7", null, "data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7", null, "https://www.physicsforums.com/s...	{"ft_lang_label":"__label__en","ft_lang_prob":0.8796388,"math_prob":0.9985722,"size":1081,"snap":"2022-05-2022-21","text_gpt3_token_len":360,"char_repetition_ratio":0.08913649,"word_repetition_ratio":0.79012346,"special_character_ratio":0.3172988,"punctuation_ratio":0.09130435,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9999846,"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],"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,null,null,null,null,null,null,null,null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2022-05-23T02:49:02Z\",\"WARC-Record-ID\":\"<urn:uuid:4bce4fb7-d1a3-4fb0-9c30-a5deb9dfa36b>\",\"Content-Length\":\"104038\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:5b07ea50-8e87-4a46-b65d-1ae5d53b870c>\",\"WARC-Concurrent-To\":\"<urn:uuid:a6d430ce-5553-4902-b671-f0253e4acde1>\",\"WARC-IP-Address\":\"104.26.15.132\",\"WARC-Target-URI\":\"https://www.physicsforums.com/threads/another-viete-problem.236491/\",\"WARC-Payload-Digest\":\"sha1:Y6VHJHFFC5RRB7M5HWUU2367PWJ4XOIO\",\"WARC-Block-Digest\":\"sha1:345DBRDY7ZIKPZ4UXXSZK52DNGNEI7F7\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2022/CC-MAIN-2022-21/CC-MAIN-2022-21_segments_1652662552994.41_warc_CC-MAIN-20220523011006-20220523041006-00261.warc.gz\"}"}
https://phys.libretexts.org/Courses/Joliet_Junior_College/PHYS202_-_JJC_-_Testing/07%3A_Chapter_7	[ "# 7: Chapter 7\n\n$$\\newcommand{\\vecs}{\\overset { \\rightharpoonup} {\\mathbf{#1}} }$$ $$\\newcommand{\\vecd}{\\overset{-\\!-\\!\\rightharpoonup}{\\vphantom{a}\\smash {#1}}}$$$$\\newcommand{\\id}{\\mathrm{id}}$$ $$\\newcommand{\\Span}{\\mathrm{span}}$$ $$\\newcommand{\\kernel}{\\mathrm{null}\\,}$$ $$\\newcomman...	[ null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.7247831,"math_prob":0.9989472,"size":2366,"snap":"2022-40-2023-06","text_gpt3_token_len":659,"char_repetition_ratio":0.24597798,"word_repetition_ratio":0.1294964,"special_character_ratio":0.30008453,"punctuation_ratio":0.10840108,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9765372,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2023-02-02T21:22:45Z\",\"WARC-Record-ID\":\"<urn:uuid:a1e66861-3c4f-4f88-9fd2-56d820edc17e>\",\"Content-Length\":\"114323\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:346019bb-3837-4645-b411-bca943ff0196>\",\"WARC-Concurrent-To\":\"<urn:uuid:cff01ebb-8df2-4a87-8cc1-c8a08e6ad37e>\",\"WARC-IP-Address\":\"18.160.46.56\",\"WARC-Target-URI\":\"https://phys.libretexts.org/Courses/Joliet_Junior_College/PHYS202_-_JJC_-_Testing/07%3A_Chapter_7\",\"WARC-Payload-Digest\":\"sha1:N5NKXWL6I6OVSKC3M5EPUHB473HA3KPX\",\"WARC-Block-Digest\":\"sha1:ZXNYI25DSWPBQCCEEQNNVNX5HTGDFMXB\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2023/CC-MAIN-2023-06/CC-MAIN-2023-06_segments_1674764500041.18_warc_CC-MAIN-20230202200542-20230202230542-00256.warc.gz\"}"}
https://studyres.com/doc/17036785/hedging-barrier-options---homepages-of-uva-fnwi-staff	[ "Document related concepts\n\nFutures exchange wikipedia , lookup\n\nBlack–Scholes model wikipedia , lookup\n\nEmployee stock option wikipedia , lookup\n\nGreeks (finance) wikipedia , lookup\n\nMoneyness wikipedia , lookup\n\nOption (finance) wikipedia , lookup\n\nLattice model (finance) wikipedia , lookup\n\nTrans...	[ null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.8910289,"math_prob":0.93232834,"size":73660,"snap":"2021-43-2021-49","text_gpt3_token_len":18086,"char_repetition_ratio":0.19896546,"word_repetition_ratio":0.084931724,"special_character_ratio":0.24531631,"punctuation_ratio":0.09247357,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.98722285,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2021-12-05T11:37:11Z\",\"WARC-Record-ID\":\"<urn:uuid:e66f11fe-9b41-452e-941e-3b30e1594bfe>\",\"Content-Length\":\"110489\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:c8c92667-29d5-4840-b0ed-45c2196654aa>\",\"WARC-Concurrent-To\":\"<urn:uuid:13b4b572-7472-405f-8103-672f5ac246dc>\",\"WARC-IP-Address\":\"104.21.88.174\",\"WARC-Target-URI\":\"https://studyres.com/doc/17036785/hedging-barrier-options---homepages-of-uva-fnwi-staff\",\"WARC-Payload-Digest\":\"sha1:HQ4U3QFYUMX5FCRWBWO7QT6EVN5MGDYN\",\"WARC-Block-Digest\":\"sha1:Y2F6J2NMMX7JDHXIPM6JRBE4BX6WX7RP\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2021/CC-MAIN-2021-49/CC-MAIN-2021-49_segments_1637964363157.32_warc_CC-MAIN-20211205100135-20211205130135-00380.warc.gz\"}"}
https://bigeagle.me/2023/03/pico-gpt-1/	[ "March 12, 2023\n\n# 握着你的手训一个类GPT语言模型 (一)\n\n## 文字的向量化表示\n\nLinus 有言: “烂程序员关心的是代码。好程序员关心的是数据结构和它们之间的关系。” 研究一个问题，先从研究对象的数据表示开始。假设 input.txt 是一份语料库，例如 TinyShapespeare，里面就是一个个英文字母和标点符号，因此可以我们可以搞一种最 Naïve 的数据表示: 字符序号表示。\n\nwith open(\"input.txt\") as f:\nvocabulary = sorted(list(set(text)))\nvocab_size = len(vocabulary...	[ null ]	{"ft_lang_label":"__label__zh","ft_lang_prob":0.7786803,"math_prob":0.9815149,"size":3875,"snap":"2023-14-2023-23","text_gpt3_token_len":2282,"char_repetition_ratio":0.12038233,"word_repetition_ratio":0.0065146578,"special_character_ratio":0.22580644,"punctuation_ratio":0.17368421,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9848586,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2023-06-10T04:11:31Z\",\"WARC-Record-ID\":\"<urn:uuid:2aa8f859-24d1-40b0-a941-b7e2b68e8e32>\",\"Content-Length\":\"25224\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:d3b2dce7-8cfa-45f3-b693-3176888b1a34>\",\"WARC-Concurrent-To\":\"<urn:uuid:be674d7a-9da1-4f29-a1ed-e5553c070b1b>\",\"WARC-IP-Address\":\"185.207.153.234\",\"WARC-Target-URI\":\"https://bigeagle.me/2023/03/pico-gpt-1/\",\"WARC-Payload-Digest\":\"sha1:CUB4J4B3KK3URPBKVMRBCX67RTSIUC2J\",\"WARC-Block-Digest\":\"sha1:TSBKYN4KQWYL5TYPENYBQNFZZ7NGQ5P4\",\"WARC-Identified-Payload-Type\":\"application/xhtml+xml\",\"warc_filename\":\"/cc_download/warc_2023/CC-MAIN-2023-23/CC-MAIN-2023-23_segments_1685224656963.83_warc_CC-MAIN-20230610030340-20230610060340-00719.warc.gz\"}"}
https://www.slideserve.com/maxine-ross/relational-algebra-and-my-sql-powerpoint-ppt-presentation	[ "", null, "Download", null, "Download Presentation", null, "Relational Algebra and My SQL\n\nRelational Algebra and My SQL\n\nDownload Presentation", null, "Relational Algebra and My SQL\n\n- - - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - ...	[ null, "https://www.slideserve.com/img/player/ss_download.png", null, "https://www.slideserve.com/img/replay.png", null, "https://thumbs.slideserve.com/1_6787223.jpg", null, "https://www.slideserve.com/img/output_cBjjdt.gif", null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.7653361,"math_prob":0.91924125,"size":10079,"snap":"2022-05-2022-21","text_gpt3_token_len":2675,"char_repetition_ratio":0.10501241,"word_repetition_ratio":0.12542373,"special_character_ratio":0.2702649,"punctuation_ratio":0.16414905,"nsfw_num_words":1,"has_unicode_error":false,"math_prob_llama3":0.97324127,"pos_list":[0,1,2,3,4,5,6,7,8],"im_url_duplicate_count":[null,null,null,null,null,1,null,null,null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2022-01-25T01:50:04Z\",\"WARC-Record-ID\":\"<urn:uuid:c9ade3c7-072f-464a-b8f8-705a23648e75>\",\"Content-Length\":\"105549\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:ce90b66a-69d2-4f5a-9d5b-0a043ec1f202>\",\"WARC-Concurrent-To\":\"<urn:uuid:47c3bab8-81ef-4786-8cdc-ae9d61b82b7a>\",\"WARC-IP-Address\":\"44.237.244.52\",\"WARC-Target-URI\":\"https://www.slideserve.com/maxine-ross/relational-algebra-and-my-sql-powerpoint-ppt-presentation\",\"WARC-Payload-Digest\":\"sha1:7YFMU2QQHGRU72XRDGNIDPJEM6DX5Z4Y\",\"WARC-Block-Digest\":\"sha1:5EJ6P4NLLCGMZEPYQLN3HAN6I35DLB6X\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2022/CC-MAIN-2022-05/CC-MAIN-2022-05_segments_1642320304749.63_warc_CC-MAIN-20220125005757-20220125035757-00494.warc.gz\"}"}
https://existsforall.com/real-triangle-inequality/	[ "# Real Triangle Inequality\n\nThe triangle inequality $$\|x\|+\|y\|\\ge \|x+y\|$$ for real numbers is an indispensable tool in mathematical analysis, otherwise known as calculus, because it allows us to approximate quantities by bounds. We prove a general version of it using the ordinary absolute value and for any numbe...	[ null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.8567402,"math_prob":0.99866354,"size":299,"snap":"2022-27-2022-33","text_gpt3_token_len":62,"char_repetition_ratio":0.027118644,"word_repetition_ratio":0.0,"special_character_ratio":0.20735785,"punctuation_ratio":0.0754717,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.98493755,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2022-06-30T10:14:20Z\",\"WARC-Record-ID\":\"<urn:uuid:0ea52e4f-e011-4490-a901-93e978b92deb>\",\"Content-Length\":\"109861\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:b46a1046-7000-4925-a113-78fe132922c1>\",\"WARC-Concurrent-To\":\"<urn:uuid:b594b6ef-6aaf-4985-b066-f56f4fdcaec9>\",\"WARC-IP-Address\":\"208.109.20.172\",\"WARC-Target-URI\":\"https://existsforall.com/real-triangle-inequality/\",\"WARC-Payload-Digest\":\"sha1:BTEXSOTTECBIFDD5WZ52ZLIBXD4SQWX2\",\"WARC-Block-Digest\":\"sha1:MFQ4IRWGWVCQASOGKCGVW6RSU3FDA2LG\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2022/CC-MAIN-2022-27/CC-MAIN-2022-27_segments_1656103671290.43_warc_CC-MAIN-20220630092604-20220630122604-00642.warc.gz\"}"}
http://www.fractalnomics.com/2011/08/	[ "## Saturday, August 27, 2011\n\n### Fractal (Information) Decay\n\nFractal Decay\nAs shown in the animation below, and described in my earlier entries, the fractal demonstrates development and growth: but if this reversed, it also demonstrates decay. Developing from the first simple iteration to the complex, and ...	[ null, "http://2.bp.blogspot.com/-rVEk2-udAYw/TMFCTVCDHHI/AAAAAAAAABo/hMSlU-IdlC8/s1600/Koch_anime.gif", null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.9126274,"math_prob":0.8190055,"size":2692,"snap":"2020-45-2020-50","text_gpt3_token_len":574,"char_repetition_ratio":0.12090774,"word_repetition_ratio":0.0,"special_character_ratio":0.20653789,"punctuation_ratio":0.10483871,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.97994006,"pos_list":[0,1,2],"im_url_duplicate_count":[null,7,null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2020-12-02T02:30:25Z\",\"WARC-Record-ID\":\"<urn:uuid:28190be5-58e3-40a1-ab5d-da9ff4c0c4ca>\",\"Content-Length\":\"127502\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:dd58b733-2a26-42cc-a689-cb50795cdc65>\",\"WARC-Concurrent-To\":\"<urn:uuid:62d0c02a-5f26-4689-9ed7-9132d6142507>\",\"WARC-IP-Address\":\"172.217.15.115\",\"WARC-Target-URI\":\"http://www.fractalnomics.com/2011/08/\",\"WARC-Payload-Digest\":\"sha1:NE2RBWMCFT5IRMJXXHQ7W3IPRWEHLQVA\",\"WARC-Block-Digest\":\"sha1:QS7LNSWSQRX42KZO4SCMHSJ5DPH4COBE\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2020/CC-MAIN-2020-50/CC-MAIN-2020-50_segments_1606141686635.62_warc_CC-MAIN-20201202021743-20201202051743-00604.warc.gz\"}"}
https://www.physicsforums.com/threads/please-help-wave-and-energy-transfer-related.161413/	[ "• rubbertoe\n\n## Homework Statement\n\nWater waves in a shallow dish are 6.0cm long At one point, the water oscillates up and down at a rate of 4.8 oscillations per second. What is the speed of the water waves?\n\n## Homework Equations\n\nI am basicaly stuck becuse I don't know how to relate the oscillations to t...	[ null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.8934483,"math_prob":0.85738236,"size":317,"snap":"2023-40-2023-50","text_gpt3_token_len":94,"char_repetition_ratio":0.1373802,"word_repetition_ratio":0.0,"special_character_ratio":0.25867507,"punctuation_ratio":0.0882353,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.96682936,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2023-12-09T15:48:33Z\",\"WARC-Record-ID\":\"<urn:uuid:7f878040-fc07-410f-8869-1e2ad53463b9>\",\"Content-Length\":\"61918\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:07bd339b-56b4-4a29-888c-c7f4bc9322d0>\",\"WARC-Concurrent-To\":\"<urn:uuid:c687a299-a4c7-4daf-a126-7664ba050d3e>\",\"WARC-IP-Address\":\"172.67.68.135\",\"WARC-Target-URI\":\"https://www.physicsforums.com/threads/please-help-wave-and-energy-transfer-related.161413/\",\"WARC-Payload-Digest\":\"sha1:IONKJZJZZGUU2EXB4WY7NSYMUPEK7PSX\",\"WARC-Block-Digest\":\"sha1:E3AV5Z2XJEOLSQ3JJUJFG43T3FSXSMO4\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2023/CC-MAIN-2023-50/CC-MAIN-2023-50_segments_1700679100912.91_warc_CC-MAIN-20231209134916-20231209164916-00844.warc.gz\"}"}
https://www.hindawi.com/journals/ahep/2015/960345/	[ "#### Abstract\n\nWe construct dyon solutions on coincident -branes, obtained by applying -duality transformations to type I superstring theory in 10 dimensions. These solutions, which are exact, are obtained from an action comprising the non-Abelian Dirac-Born-Infeld action and a Wess-Zumino-like action. When one ...	[ null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.922499,"math_prob":0.9786798,"size":35037,"snap":"2023-14-2023-23","text_gpt3_token_len":7580,"char_repetition_ratio":0.16407387,"word_repetition_ratio":0.04682274,"special_character_ratio":0.21077718,"punctuation_ratio":0.13059586,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.98604655,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2023-06-07T06:59:16Z\",\"WARC-Record-ID\":\"<urn:uuid:40cf4b63-6212-4c92-a839-07bf5071a0c6>\",\"Content-Length\":\"1050329\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:e434818e-a962-4fd4-b546-e437f81e88a1>\",\"WARC-Concurrent-To\":\"<urn:uuid:fb0dcd79-aa7c-4616-a601-f8aa65570d11>\",\"WARC-IP-Address\":\"104.18.16.181\",\"WARC-Target-URI\":\"https://www.hindawi.com/journals/ahep/2015/960345/\",\"WARC-Payload-Digest\":\"sha1:LOZPXCLSIROVOCYGDVT3HA3BTFI5U7OD\",\"WARC-Block-Digest\":\"sha1:Q62J5EYDBDDBN36O2RKQT32KYEFCNVOH\",\"WARC-Truncated\":\"length\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2023/CC-MAIN-2023-23/CC-MAIN-2023-23_segments_1685224653608.76_warc_CC-MAIN-20230607042751-20230607072751-00146.warc.gz\"}"}
http://www.gicgac.com/FirstSet/HTML5Tutorial/HTML5_Table.html	[ "# HTML5 Table Tutorial\n\nQ1.\nDenote a paragraph.\n A. Use the p element. B. Use the div element. C. Use the pre element. D. Use the blockquote element.\nQ2.\nPreserve layout in the HTML source document.\n A. Use the p element. B. Use the div element. C. Use the pre element. D. Use the blockquote element.\nQ3.\nD...	[ null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.7812735,"math_prob":0.80686396,"size":1143,"snap":"2020-34-2020-40","text_gpt3_token_len":248,"char_repetition_ratio":0.17120281,"word_repetition_ratio":0.06122449,"special_character_ratio":0.20297463,"punctuation_ratio":0.0990991,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9539158,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2020-09-26T15:37:25Z\",\"WARC-Record-ID\":\"<urn:uuid:6a23dbf0-a958-4c1f-8c64-2c852075eb75>\",\"Content-Length\":\"47312\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:6b0e77c1-557a-49d4-a43e-2448a8bb2385>\",\"WARC-Concurrent-To\":\"<urn:uuid:47f2c48d-76ee-4ef1-8e32-2413cc34d658>\",\"WARC-IP-Address\":\"95.217.197.119\",\"WARC-Target-URI\":\"http://www.gicgac.com/FirstSet/HTML5Tutorial/HTML5_Table.html\",\"WARC-Payload-Digest\":\"sha1:QVT2Y7HDLMUSSCAMWLVTETJYOSAPRIH4\",\"WARC-Block-Digest\":\"sha1:R2MYMN7H62RU2COMYO6J5D7JRURGUN47\",\"WARC-Identified-Payload-Type\":\"application/xhtml+xml\",\"warc_filename\":\"/cc_download/warc_2020/CC-MAIN-2020-40/CC-MAIN-2020-40_segments_1600400244231.61_warc_CC-MAIN-20200926134026-20200926164026-00760.warc.gz\"}"}
https://www.alibabacloud.com/help/doc-detail/63456.htm	[ "You can use type conversion functions to convert data types in a query statement.\n\nFunction Syntax Description\ncast function cast(x as type) Converts the data type of x.\n\nIf you use the cast function to convert data types and a value fails to be converted, the entire query and analysis process ends.\n\ntry_ca...	[ null, "https://help-static-aliyun-doc.aliyuncs.com/assets/img/en-US/0411721361/p299596.png", null, "https://help-static-aliyun-doc.aliyuncs.com/assets/img/en-US/0411721361/p299594.png", null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.6162528,"math_prob":0.9506708,"size":2481,"snap":"2021-31-2021-39","text_gpt3_token_len":536,"char_repetition_ratio":0.1877271,"word_repetition_ratio":0.64845604,"special_character_ratio":0.21362354,"punctuation_ratio":0.094623655,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9518168,"pos_list":[0,1,2,3,4],"im_url_duplicate_count":[null,2,null,2,null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2021-09-27T00:44:29Z\",\"WARC-Record-ID\":\"<urn:uuid:a7498367-b0a1-485f-9767-d0982f7e7d81>\",\"Content-Length\":\"399767\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:e19aa3d4-38ac-4980-ac35-130fbbdb13a8>\",\"WARC-Concurrent-To\":\"<urn:uuid:af8cce95-110c-43b8-ad0c-5c3daaa2090c>\",\"WARC-IP-Address\":\"47.89.226.24\",\"WARC-Target-URI\":\"https://www.alibabacloud.com/help/doc-detail/63456.htm\",\"WARC-Payload-Digest\":\"sha1:3ZB5PKTLYDZRYIOBFM7JWOQJ2PAEARRR\",\"WARC-Block-Digest\":\"sha1:BYKBYLPEET5S4TTZ3ZHCZ4UMYVKDQFPI\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2021/CC-MAIN-2021-39/CC-MAIN-2021-39_segments_1631780058222.43_warc_CC-MAIN-20210926235727-20210927025727-00532.warc.gz\"}"}
https://scirp.org/journal/paperinformation.aspx?paperid=67682	[ "The Real Reason Why the Electron’s Bare g-Factor Is 2 Times Classical\nDonald Bowen\n\nAbstract\n\nWhen analyzing an Electron’s orbit’s and movements, a “classical” bare g-factor of “1” must be used, but when analyzing just the Electron itself, a bare g-factor and gyromagnetic ratio of twice the “classical” value ...	[ null, "https://html.scirp.org/file/17-7502776x5.png", null, "https://html.scirp.org/file/17-7502776x6.png", null, "https://html.scirp.org/file/17-7502776x7.png", null, "https://html.scirp.org/file/17-7502776x8.png", null, "https://html.scirp.org/file/17-7502776x9.png", null, "https://html.scir...	{"ft_lang_label":"__label__en","ft_lang_prob":0.9277517,"math_prob":0.9512833,"size":31183,"snap":"2023-14-2023-23","text_gpt3_token_len":6568,"char_repetition_ratio":0.17383495,"word_repetition_ratio":0.03470214,"special_character_ratio":0.20613796,"punctuation_ratio":0.073575675,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.98887396,"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],"im_url_duplicate_count":[null,5,null,5,null,5,null,5,null,5,null,5,null,5,null,5,null,5,null,5,null,5,null,5,null,5,null,5,null,5,null,5,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\":\"2023-03-25T02:48:09Z\",\"WARC-Record-ID\":\"<urn:uuid:bd68219d-6b8f-48cb-a167-281e8c82860f>\",\"Content-Length\":\"131607\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:d97b1f79-7afa-4da7-ba9b-166fdc106102>\",\"WARC-Concurrent-To\":\"<urn:uuid:45145c20-e27b-452d-9545-95b82721eef8>\",\"WARC-IP-Address\":\"107.191.112.46\",\"WARC-Target-URI\":\"https://scirp.org/journal/paperinformation.aspx?paperid=67682\",\"WARC-Payload-Digest\":\"sha1:X2JSQPVW6ICVYYYLLKOPZELBP5PTKFUV\",\"WARC-Block-Digest\":\"sha1:HNSVLN2E55KAJ3OP6E6OCIRW6IHDGZZC\",\"WARC-Identified-Payload-Type\":\"application/xhtml+xml\",\"warc_filename\":\"/cc_download/warc_2023/CC-MAIN-2023-14/CC-MAIN-2023-14_segments_1679296945292.83_warc_CC-MAIN-20230325002113-20230325032113-00056.warc.gz\"}"}
https://mathoverflow.net/questions/365374/on-2-3-generation-of-finite-simple-classical-groups	[ "# On $(2,3)$-generation of finite simple classical groups\n\nA group $$G$$ is called $$(a,b)$$-generated if $$G=\\langle x,y\\rangle$$ for some $$x,y\\in G$$ with $$\|x\|=a$$ and $$\|y\|=b$$.\n\nI know some of the histories on this problem. For example, in this early paper in 1996 Liebeck and Shalev proved that\n\nThe...	[ null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.80357313,"math_prob":0.99980444,"size":780,"snap":"2020-45-2020-50","text_gpt3_token_len":235,"char_repetition_ratio":0.14432989,"word_repetition_ratio":0.0,"special_character_ratio":0.30384615,"punctuation_ratio":0.13609467,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.99976236,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2020-10-28T02:59:47Z\",\"WARC-Record-ID\":\"<urn:uuid:b544386c-5eaa-4980-b0a0-16458071e486>\",\"Content-Length\":\"130436\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:f998d1e4-f256-4a97-8bce-48f10c0f45ad>\",\"WARC-Concurrent-To\":\"<urn:uuid:9a8042e5-e653-42ee-8632-c40d2e059fd1>\",\"WARC-IP-Address\":\"151.101.65.69\",\"WARC-Target-URI\":\"https://mathoverflow.net/questions/365374/on-2-3-generation-of-finite-simple-classical-groups\",\"WARC-Payload-Digest\":\"sha1:VRLB4U5RK3P7UZGRLPDDY3VI5QUQCBSO\",\"WARC-Block-Digest\":\"sha1:OKJ6I4HSCIBQF6EFKIM4AYRCPNAP5PMY\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2020/CC-MAIN-2020-45/CC-MAIN-2020-45_segments_1603107896048.53_warc_CC-MAIN-20201028014458-20201028044458-00412.warc.gz\"}"}
https://www.gradesaver.com/textbooks/math/calculus/thomas-calculus-13th-edition/chapter-14-partial-derivatives-section-14-2-limits-and-continuity-in-higher-dimensions-exercises-14-2-page-796/40	[ "## Thomas' Calculus 13th Edition\n\na) For all (x,y,z) such that $x^2+y^2+z^2 \\le 4$; b) For all $(x,y,z )$ such that $x^2+y^2+z^2 \\ge 9$ except when $x^2+y^2+z^2=25$\na) There is no possible way to take the square root of the negative value.Therefore, $4-x^2-y^2-z^2 \\gt 0$ Thus, for all (x,y,z) such that $x^2+...	[ null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.573249,"math_prob":1.0000058,"size":593,"snap":"2023-14-2023-23","text_gpt3_token_len":248,"char_repetition_ratio":0.17996605,"word_repetition_ratio":0.407767,"special_character_ratio":0.43507588,"punctuation_ratio":0.09714286,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":1.000009,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2023-03-23T17:38:55Z\",\"WARC-Record-ID\":\"<urn:uuid:c84d4971-f038-4161-867f-e810830bf96b>\",\"Content-Length\":\"84676\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:f7b1f130-d3d7-402f-8f5f-025121cd493c>\",\"WARC-Concurrent-To\":\"<urn:uuid:ca3427e0-990c-44f8-b251-b546e135a165>\",\"WARC-IP-Address\":\"3.217.29.253\",\"WARC-Target-URI\":\"https://www.gradesaver.com/textbooks/math/calculus/thomas-calculus-13th-edition/chapter-14-partial-derivatives-section-14-2-limits-and-continuity-in-higher-dimensions-exercises-14-2-page-796/40\",\"WARC-Payload-Digest\":\"sha1:MLC6IVGRGGAY5C7XMS7QI6GRPH4W6QOQ\",\"WARC-Block-Digest\":\"sha1:FB6Q4IYQPYNRBLWWG6UZ57HRB2JIAYUR\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2023/CC-MAIN-2023-14/CC-MAIN-2023-14_segments_1679296945182.12_warc_CC-MAIN-20230323163125-20230323193125-00301.warc.gz\"}"}
https://hg.libsdl.org/SDL/file/76fa20889de8/test/testlock.c	[ "test/testlock.c\n author Sam Lantinga Sun, 26 May 2013 11:34:04 -0700 changeset 7223 76fa20889de8 parent 7191 75360622e65f child 7442 a65a1c17af2b permissions -rw-r--r--\nFixed compile errors building with mingw64\n``` 1 /*\n```\n``` 2 Copyright (C) 1997-2011 Sam Lantinga <slouken@libsdl.org>\n```\n``` ...	[ null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.6223965,"math_prob":0.8676498,"size":2365,"snap":"2020-24-2020-29","text_gpt3_token_len":647,"char_repetition_ratio":0.15501906,"word_repetition_ratio":0.012158055,"special_character_ratio":0.34841436,"punctuation_ratio":0.20093457,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.96511394,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2020-07-07T20:16:41Z\",\"WARC-Record-ID\":\"<urn:uuid:92c10540-4ef2-4c9a-9504-9dd8fc357f8d>\",\"Content-Length\":\"21764\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:cd3a772f-c473-4d39-8c5e-caba99ecaaa2>\",\"WARC-Concurrent-To\":\"<urn:uuid:896e1e4f-c925-4b7d-bfd2-968afb6cea90>\",\"WARC-IP-Address\":\"192.241.223.99\",\"WARC-Target-URI\":\"https://hg.libsdl.org/SDL/file/76fa20889de8/test/testlock.c\",\"WARC-Payload-Digest\":\"sha1:7CDJDTP53LMDEYTQHYHEDPHOKEUAH36M\",\"WARC-Block-Digest\":\"sha1:DW6ZXOEK2GUT7HDDECXRIXKCKCM6VBWK\",\"WARC-Identified-Payload-Type\":\"application/xhtml+xml\",\"warc_filename\":\"/cc_download/warc_2020/CC-MAIN-2020-29/CC-MAIN-2020-29_segments_1593655894904.17_warc_CC-MAIN-20200707173839-20200707203839-00417.warc.gz\"}"}
http://unicodeconverter.info/index.php?pgn=1	[ "", null, "Unicode Converter, Bangla Converter, Avro Type. Very helpful will help you to convert your bangla bijoy Ascii text to convert Unicode text or Unicode text to convert bijoy Ascii text. You can get help from it to develop your bangla web page or write bangla language any anywher in webpage. Also you ca...	[ null, "https://d5nxst8fruw4z.cloudfront.net/atrk.gif", null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.56356853,"math_prob":0.99989104,"size":389,"snap":"2019-43-2019-47","text_gpt3_token_len":84,"char_repetition_ratio":0.16623376,"word_repetition_ratio":0.0,"special_character_ratio":0.17994858,"punctuation_ratio":0.08450704,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":1.0000057,"pos_list":[0,1,2],"im_url_duplicate_count":[null,null,null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2019-10-23T03:25:41Z\",\"WARC-Record-ID\":\"<urn:uuid:ebbbc57a-b025-4d90-8de5-15ce4c0ac600>\",\"Content-Length\":\"38879\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:b7c5dc3d-f023-46fe-a53d-9e1774391e7d>\",\"WARC-Concurrent-To\":\"<urn:uuid:1a06e016-ada6-44c3-bdf2-8ba3b8510875>\",\"WARC-IP-Address\":\"184.95.55.78\",\"WARC-Target-URI\":\"http://unicodeconverter.info/index.php?pgn=1\",\"WARC-Payload-Digest\":\"sha1:3YIPYSBNW2HTAKRTOOTZ6BDLFKL3UNKN\",\"WARC-Block-Digest\":\"sha1:4KVNCWKTYJP5WNE6DAMB3QIOYYNGSFXD\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2019/CC-MAIN-2019-43/CC-MAIN-2019-43_segments_1570987828425.99_warc_CC-MAIN-20191023015841-20191023043341-00369.warc.gz\"}"}
https://hunterriverpei.com/use-average-bond-energies-to-calculate-hrxn-for-this-reaction/	[ "We room asked to use bond energies come calculateΔHrxn because that the reaction: N2(g)+ 3 H2(g) → 2 NH3(g).\n\nYou are watching: Use average bond energies to calculate δhrxn for this reaction.\n\nTo calculation the ΔH°rxn usingbond energies, we’re going to use the following equation:\n\n∆H°rxn=Hbond reactants-Hbo...	[ null, "https://hunterriverpei.com/use-average-bond-energies-to-calculate-hrxn-for-this-reaction/imager_1_5344_700.jpg", null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.85637623,"math_prob":0.9093327,"size":2707,"snap":"2021-43-2021-49","text_gpt3_token_len":647,"char_repetition_ratio":0.10691824,"word_repetition_ratio":0.0045045046,"special_character_ratio":0.22275582,"punctuation_ratio":0.10192308,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9771969,"pos_list":[0,1,2],"im_url_duplicate_count":[null,2,null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2021-11-29T05:28:33Z\",\"WARC-Record-ID\":\"<urn:uuid:54329888-d161-4a41-94d4-d7e182c98806>\",\"Content-Length\":\"13873\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:3e99de80-50a4-4c4e-8c63-967b0afc23a5>\",\"WARC-Concurrent-To\":\"<urn:uuid:83013c79-7c0f-4d38-9207-039937953719>\",\"WARC-IP-Address\":\"172.67.208.74\",\"WARC-Target-URI\":\"https://hunterriverpei.com/use-average-bond-energies-to-calculate-hrxn-for-this-reaction/\",\"WARC-Payload-Digest\":\"sha1:TSLXQT5YS62VNYMJ6W3TPD3DPC2TITJX\",\"WARC-Block-Digest\":\"sha1:IAPVCKLXOEHQTRDQGHBA6YOWALPGXASS\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2021/CC-MAIN-2021-49/CC-MAIN-2021-49_segments_1637964358688.35_warc_CC-MAIN-20211129044311-20211129074311-00390.warc.gz\"}"}
https://www.online-sciences.com/physics/pure-semiconductor-crystal-ways-of-increasing-the-conductivity-of-semiconductors/	[ "# Pure semiconductor crystal & ways of increasing the conductivity of semiconductors\n\nElectronics play a key role in our life to transfer the information, entertainment, culture and also in war and in medicine to diagnose, prognosis or surgeries, Materials are classified according to their electrical conductivit...	[ null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.8817165,"math_prob":0.9814383,"size":9867,"snap":"2020-45-2020-50","text_gpt3_token_len":2024,"char_repetition_ratio":0.19020581,"word_repetition_ratio":0.16276202,"special_character_ratio":0.19408128,"punctuation_ratio":0.073555164,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9719277,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2020-10-21T19:41:43Z\",\"WARC-Record-ID\":\"<urn:uuid:b151348f-4a05-47a7-a4ef-a363fa3fa71c>\",\"Content-Length\":\"174373\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:46d03f4d-782b-49c1-b0f5-23b08b30f377>\",\"WARC-Concurrent-To\":\"<urn:uuid:819bdc0b-0cfd-48f9-a267-9423eeebf63a>\",\"WARC-IP-Address\":\"104.27.185.91\",\"WARC-Target-URI\":\"https://www.online-sciences.com/physics/pure-semiconductor-crystal-ways-of-increasing-the-conductivity-of-semiconductors/\",\"WARC-Payload-Digest\":\"sha1:7LZAVA6NQYNDHOOFR6XIVNPR7AXFQ743\",\"WARC-Block-Digest\":\"sha1:QLP3LFEAFB6D3DFBZBRKJ5CAIEEWB7RX\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2020/CC-MAIN-2020-45/CC-MAIN-2020-45_segments_1603107877420.17_warc_CC-MAIN-20201021180646-20201021210646-00688.warc.gz\"}"}
https://mathoverflow.net/questions/341406/degenerate-beltrami-equation	[ "# Degenerate Beltrami equation\n\nQuestion:\nLet $$\\mu:\\mathbb C\\to \\mathbb C$$ be a $$C^\\infty$$ function satisfying $$\|\\mu\|\\le 1$$.\nLet us furthermore assume that the function $$\\mu$$ never takes the value $$-1$$.\nDoes there exist a $$C^\\infty$$ function\n\n$$f:\\mathbb C\\to \\mathbb C$$ such that $$...	[ null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.76168257,"math_prob":0.99999774,"size":2415,"snap":"2022-40-2023-06","text_gpt3_token_len":695,"char_repetition_ratio":0.16632102,"word_repetition_ratio":0.04719764,"special_character_ratio":0.28033125,"punctuation_ratio":0.10759494,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":1.0000075,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2023-01-28T13:34:36Z\",\"WARC-Record-ID\":\"<urn:uuid:901d18eb-cacb-4eb7-a41b-eaf651e8ee59>\",\"Content-Length\":\"106541\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:f687c256-2079-4c88-b748-c494abd3e3ff>\",\"WARC-Concurrent-To\":\"<urn:uuid:6789a538-b426-4337-97e6-bfae4f8d642d>\",\"WARC-IP-Address\":\"151.101.65.69\",\"WARC-Target-URI\":\"https://mathoverflow.net/questions/341406/degenerate-beltrami-equation\",\"WARC-Payload-Digest\":\"sha1:KFMCMAS7JFNKIM7XUQT7KYYCORPZMEZ7\",\"WARC-Block-Digest\":\"sha1:RDN5DXQYZI5TAXX4YBG6HB2ONU6FNZRQ\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2023/CC-MAIN-2023-06/CC-MAIN-2023-06_segments_1674764499634.11_warc_CC-MAIN-20230128121809-20230128151809-00137.warc.gz\"}"}
https://cs.stackexchange.com/questions/35418/proof-of-randomized-self-adjusting-binary-search-tree/71820	[ "# Proof of Randomized Self-Adjusting Binary Search Tree\n\nI developed a randomized self-adjusting binary search tree years ago, which I called a shuffle tree, but was unable to ever have it published because my proofs were rejected (with little explanation). I've since given up the hope of publishing (I'm not an ...	[ null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.9016786,"math_prob":0.91277105,"size":4151,"snap":"2021-04-2021-17","text_gpt3_token_len":933,"char_repetition_ratio":0.12563299,"word_repetition_ratio":0.03814714,"special_character_ratio":0.23416044,"punctuation_ratio":0.1209068,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.984978,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2021-04-19T07:17:01Z\",\"WARC-Record-ID\":\"<urn:uuid:8a7fb7f2-4bc2-4f68-a442-5bfb099b4266>\",\"Content-Length\":\"170377\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:70c67952-6794-465e-8df6-9cacbc45599f>\",\"WARC-Concurrent-To\":\"<urn:uuid:2b5b22c7-8488-4fe1-af9a-ed1984eafde9>\",\"WARC-IP-Address\":\"151.101.65.69\",\"WARC-Target-URI\":\"https://cs.stackexchange.com/questions/35418/proof-of-randomized-self-adjusting-binary-search-tree/71820\",\"WARC-Payload-Digest\":\"sha1:UPSQNNTLZQAAO6GHSMENQ2FI3SKOT2NZ\",\"WARC-Block-Digest\":\"sha1:WVPKOVNOCPV4UTD4Z2JMTE7RGJD4MTVL\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2021/CC-MAIN-2021-17/CC-MAIN-2021-17_segments_1618038878326.67_warc_CC-MAIN-20210419045820-20210419075820-00443.warc.gz\"}"}
https://www.slideserve.com/jun/analysis-of-algorithms	[ "", null, "Download Presentation", null, "Analysis of Algorithms\n\n# Analysis of Algorithms - PowerPoint PPT Presentation", null, "Download Presentation", null, "## Analysis of Algorithms\n\n- - - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - ...	[ null, "https://www.slideserve.com/img/replay.png", null, "https://thumbs.slideserve.com/1_1315946.jpg", null, "https://www.slideserve.com/photo/30161.jpeg", null, "https://www.slideserve.com/img/output_cBjjdt.gif", null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.74431854,"math_prob":0.977518,"size":7645,"snap":"2019-51-2020-05","text_gpt3_token_len":1878,"char_repetition_ratio":0.18191336,"word_repetition_ratio":0.052250803,"special_character_ratio":0.2384565,"punctuation_ratio":0.03930461,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.99824643,"pos_list":[0,1,2,3,4,5,6,7,8],"im_url_duplicate_count":[null,null,null,1,null,1,null,null,null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2020-01-21T05:41:46Z\",\"WARC-Record-ID\":\"<urn:uuid:0c06db1f-f99b-4dfa-8874-278941eef9e4>\",\"Content-Length\":\"54351\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:fc2aa19e-631d-417e-a918-379453b6f93b>\",\"WARC-Concurrent-To\":\"<urn:uuid:4a884abd-5fe4-4441-9ff7-8348c15fc0e8>\",\"WARC-IP-Address\":\"52.10.219.111\",\"WARC-Target-URI\":\"https://www.slideserve.com/jun/analysis-of-algorithms\",\"WARC-Payload-Digest\":\"sha1:ZB5ERGUT47I6Q5EQTHIPMO2MOZ6EVKRS\",\"WARC-Block-Digest\":\"sha1:YMLJMRMWCKKVXDPUKOJQCU6FIBSEWREY\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2020/CC-MAIN-2020-05/CC-MAIN-2020-05_segments_1579250601615.66_warc_CC-MAIN-20200121044233-20200121073233-00236.warc.gz\"}"}
https://mcqslearn.com/applied/mathematics/quiz/quiz-questions-and-answers.php?page=25-first-degree-equations-quiz	[ "BBA Management Courses\n\nThe Book First Degree Equations Quiz Questions, first degree equations MCQ with answers PDF chapter 2-25 to learn online courses, business mathematics tests. Practice Introduction to Applied Mathematics trivia questions, first degree equations Multiple Choice Questions (MCQ Quiz) for onli...	[ null, "https://mcqslearn.com/images/appicons/allinone.png", null, "https://mcqslearn.com/images/appicons/bbabusinessmath.png", null, "https://mcqslearn.com/images/appicons/bbahrm.png", null, "https://mcqslearn.com/images/appicons/bbamarketingprinciples.png", null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.8414911,"math_prob":0.98173094,"size":1727,"snap":"2023-40-2023-50","text_gpt3_token_len":337,"char_repetition_ratio":0.14277422,"word_repetition_ratio":0.0859375,"special_character_ratio":0.1806601,"punctuation_ratio":0.10069445,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9861136,"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\":\"2023-09-30T22:19:55Z\",\"WARC-Record-ID\":\"<urn:uuid:2e292854-bd40-463c-b87b-263b9c06c5f3>\",\"Content-Length\":\"92020\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:e1671d33-ebb2-483f-adbd-152b2b3444a0>\",\"WARC-Concurrent-To\":\"<urn:uuid:cdf64b3f-fb4c-4bc3-aab8-7929c797dafe>\",\"WARC-IP-Address\":\"68.178.239.9\",\"WARC-Target-URI\":\"https://mcqslearn.com/applied/mathematics/quiz/quiz-questions-and-answers.php?page=25-first-degree-equations-quiz\",\"WARC-Payload-Digest\":\"sha1:NF7KZGHPF4URSWBPUCSODPPMCYSQN4YR\",\"WARC-Block-Digest\":\"sha1:7QFS7YAEX6BGQJDJG5SBUPYPYHQ3Y7IW\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2023/CC-MAIN-2023-40/CC-MAIN-2023-40_segments_1695233510730.6_warc_CC-MAIN-20230930213821-20231001003821-00428.warc.gz\"}"}
http://matse1.matse.illinois.edu/sc/b.html	[ "# Experiment 2\n\n### Hot and Cold Temperature and Resistance of Electronic Materials\n\nObjective: The object of this lab is to show how temperature affects the conductivity (resistance) in various electrical materials and devices.\n\nReview of Scientific Principles:\n\nHeat: As heat is applied to a crystalline s...	[ null, "http://matse1.matse.illinois.edu/sc/16.gif", null, "http://matse1.matse.illinois.edu/greek/Omega.gif", null, "http://matse1.matse.illinois.edu/greek/Omega.gif", null, "http://matse1.matse.illinois.edu/greek/Omega.gif", null, "http://matse1.matse.illinois.edu/greek/Omega.gif", null, "htt...	{"ft_lang_label":"__label__en","ft_lang_prob":0.8856366,"math_prob":0.95897484,"size":9193,"snap":"2019-35-2019-39","text_gpt3_token_len":2070,"char_repetition_ratio":0.16693874,"word_repetition_ratio":0.055737704,"special_character_ratio":0.22419232,"punctuation_ratio":0.120538324,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9727749,"pos_list":[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16],"im_url_duplicate_count":[null,2,null,null,null,null,null,null,null,null,null,2,null,2,null,2,null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2019-09-20T01:12:16Z\",\"WARC-Record-ID\":\"<urn:uuid:b3271865-c8ca-4fab-95f6-b3a63cfad5e9>\",\"Content-Length\":\"14660\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:a0719335-09e7-4489-93a0-9ceb9b45f410>\",\"WARC-Concurrent-To\":\"<urn:uuid:555a8ca6-b1f3-4cca-aa0b-879a1d72b0cd>\",\"WARC-IP-Address\":\"130.126.151.8\",\"WARC-Target-URI\":\"http://matse1.matse.illinois.edu/sc/b.html\",\"WARC-Payload-Digest\":\"sha1:ZJ44VEGHTQS7VGEMBWD6OTKSFVQABNHV\",\"WARC-Block-Digest\":\"sha1:7VE6M2COSHITZFSR5HTFX77T4MYHONWZ\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2019/CC-MAIN-2019-39/CC-MAIN-2019-39_segments_1568514573801.14_warc_CC-MAIN-20190920005656-20190920031656-00372.warc.gz\"}"}
https://web2.0calc.com/questions/please-answer_44	[ "+0\n\n0\n116\n2\n\nJeri finds a pile of money with at least $\\$200$. If she puts$\\$50$ of the pile in her left pocket, gives away $\\frac23$ of the rest of the pile, and then puts the rest in her right pocket, she'll have more money than if she instead gave away $\\$200\\$ of the original pile and kept the rest....	[ null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.9007476,"math_prob":0.99926335,"size":964,"snap":"2021-43-2021-49","text_gpt3_token_len":312,"char_repetition_ratio":0.13020833,"word_repetition_ratio":0.023952097,"special_character_ratio":0.37240663,"punctuation_ratio":0.104477614,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9898216,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2021-10-26T20:44:09Z\",\"WARC-Record-ID\":\"<urn:uuid:7e161fc6-cdd1-45e5-bc9b-dc39d7e8de00>\",\"Content-Length\":\"23696\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:951bfee9-0941-432c-8952-15c087a924dc>\",\"WARC-Concurrent-To\":\"<urn:uuid:3b6f3791-110d-4c75-9088-dfaa1d81ad17>\",\"WARC-IP-Address\":\"168.119.149.252\",\"WARC-Target-URI\":\"https://web2.0calc.com/questions/please-answer_44\",\"WARC-Payload-Digest\":\"sha1:EFBDDW4N5IAT2LOLUTKKHFJ5PWA7M52J\",\"WARC-Block-Digest\":\"sha1:S23X2M5NLIY6Y5NZDDM2AEZP6J3KHUXX\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2021/CC-MAIN-2021-43/CC-MAIN-2021-43_segments_1634323587926.9_warc_CC-MAIN-20211026200738-20211026230738-00263.warc.gz\"}"}
https://gateoverflow.in/tag/b-tree	[ "# Recent questions tagged b-tree", null, "1\nWhich one of the following is a key factor for preferring $B$-trees to binary search trees for indexing database relations? Database relations have a large number of records Database relations are sorted on the primary key $B$-trees require less memory than binary s...	[ null, "https://gateoverflow.in/qa-theme/Muffin/images/rss.jpg", null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.84519964,"math_prob":0.9763412,"size":16155,"snap":"2020-34-2020-40","text_gpt3_token_len":4766,"char_repetition_ratio":0.1517553,"word_repetition_ratio":0.6252189,"special_character_ratio":0.26846176,"punctuation_ratio":0.10887676,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9932019,"pos_list":[0,1,2],"im_url_duplicate_count":[null,null,null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2020-08-14T02:11:58Z\",\"WARC-Record-ID\":\"<urn:uuid:dd24f669-c13a-4b5b-8981-49e3bde4eb63>\",\"Content-Length\":\"137352\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:1d4c362c-34a2-45ef-a107-55b39db6ef67>\",\"WARC-Concurrent-To\":\"<urn:uuid:d0311233-1fd2-4750-ab98-ca4ab9d8b741>\",\"WARC-IP-Address\":\"104.27.188.78\",\"WARC-Target-URI\":\"https://gateoverflow.in/tag/b-tree\",\"WARC-Payload-Digest\":\"sha1:7R5NK6LMG3C52WUBPJSKZEESL2G5HXZH\",\"WARC-Block-Digest\":\"sha1:XFDVXG2RMH32LVPPFLZZ6APRMANWPP2Z\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2020/CC-MAIN-2020-34/CC-MAIN-2020-34_segments_1596439739134.49_warc_CC-MAIN-20200814011517-20200814041517-00191.warc.gz\"}"}
https://mattermodeling.stackexchange.com/questions/9633/how-to-get-a-two-electron-expectation-value-for-atoms-in-pyscf	[ "# How to get a two-electron expectation value for atoms in PySCF?\n\nI am interested in calculating the following expectation value for atoms using a converged Slater deteminant from in DFT\n\n$$\\left< \\Psi \\left\| \\sum_{i,j=1}^N r_i^a r_j^b\\right\| \\Psi \\right> \\; ,\\tag{1}$$\n\nwith $$a,b$$ being some smal...	[ null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.84722054,"math_prob":0.99915636,"size":1664,"snap":"2023-40-2023-50","text_gpt3_token_len":439,"char_repetition_ratio":0.12590362,"word_repetition_ratio":0.0,"special_character_ratio":0.25540864,"punctuation_ratio":0.07232705,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9999403,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2023-11-28T13:28:33Z\",\"WARC-Record-ID\":\"<urn:uuid:4f21d509-a502-4888-a692-ce09eb77e19e>\",\"Content-Length\":\"115157\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:30eeafd2-f4cb-429a-8be0-b19edc1c5152>\",\"WARC-Concurrent-To\":\"<urn:uuid:071fd7ac-777a-40a8-82ef-0f29e08b3de3>\",\"WARC-IP-Address\":\"104.18.43.226\",\"WARC-Target-URI\":\"https://mattermodeling.stackexchange.com/questions/9633/how-to-get-a-two-electron-expectation-value-for-atoms-in-pyscf\",\"WARC-Payload-Digest\":\"sha1:RCIVN3HSKW7NIJ2Q75O5G5EVAHY5FM7W\",\"WARC-Block-Digest\":\"sha1:ECD6ASWL352G7YZXZELUOPQLFRULKLG5\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2023/CC-MAIN-2023-50/CC-MAIN-2023-50_segments_1700679099514.72_warc_CC-MAIN-20231128115347-20231128145347-00738.warc.gz\"}"}
https://www.maa.org/press/periodicals/convergence/an-arabic-finger-reckoning-rule-appropriated-for-proofs-in-algebra-reading-the-language-more-closely	[ "", null, "# An Arabic Finger-reckoning Rule Appropriated for Proofs in Algebra - Reading the language more closely\n\nAuthor(s):\nJeffrey A. Oaks (University of Indianapolis)\n\n### Reading the language more closely\n\nI have already explained two ways that equations in algebra can be differentiated from the e...	[ null, "https://px.ads.linkedin.com/collect/", null, "https://www.maa.org/sites/default/files/mbk-144.jpg", null, "https://www.maa.org/sites/default/files/Homepage%20Slider%20%281%29.png", null, "https://www.maa.org/sites/default/files/MAA%20Connect%20App%20Launch%20Homepage%20Slider%20%28954%20%C3%97%...	{"ft_lang_label":"__label__en","ft_lang_prob":0.95247066,"math_prob":0.98801583,"size":5233,"snap":"2023-14-2023-23","text_gpt3_token_len":1223,"char_repetition_ratio":0.14323963,"word_repetition_ratio":0.02606635,"special_character_ratio":0.22950506,"punctuation_ratio":0.09642147,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9964718,"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\":\"2023-03-21T05:37:52Z\",\"WARC-Record-ID\":\"<urn:uuid:528e273f-9e67-4a1a-9da4-a12acc2f7c96>\",\"Content-Length\":\"115754\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:b6b3cde5-9740-412c-8db7-ff23ceb3228f>\",\"WARC-Concurrent-To\":\"<urn:uuid:43051636-80c8-4757-9d2f-eba08688f126>\",\"WARC-IP-Address\":\"172.67.186.65\",\"WARC-Target-URI\":\"https://www.maa.org/press/periodicals/convergence/an-arabic-finger-reckoning-rule-appropriated-for-proofs-in-algebra-reading-the-language-more-closely\",\"WARC-Payload-Digest\":\"sha1:RZY6FDUZ4LV6DS3X7WJOMLKTSWTA5NUC\",\"WARC-Block-Digest\":\"sha1:C4JUFG5I45KHX7GPZVGCFR2C3MI53GKV\",\"WARC-Identified-Payload-Type\":\"application/xhtml+xml\",\"warc_filename\":\"/cc_download/warc_2023/CC-MAIN-2023-14/CC-MAIN-2023-14_segments_1679296943625.81_warc_CC-MAIN-20230321033306-20230321063306-00584.warc.gz\"}"}
https://software.intel.com/pt-br/mkl-developer-reference-c-unghr	[ "Generates the complex unitary matrix Q determined by ?gehrd.\n\n## Syntax\n\nlapack_int LAPACKE_cunghr (int matrix_layout, lapack_int n, lapack_int ilo, lapack_int ihi, lapack_complex_float* a, lapack_int lda, const lapack_complex_float* tau);\n\nlapack_int LAPACKE_zunghr (int matrix_layout, lapack_int n, lapack_i...	[ null, "https://software.intel.com/sites/default/files/did_feeds_images/3AB6CEF8-0A05-4817-96CA-66F20E17E096/3AB6CEF8-0A05-4817-96CA-66F20E17E096-imageId=7AF4D6C5-FE4B-4234-A6A8-1A490463C2A9.gif", null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.73337716,"math_prob":0.9589223,"size":2143,"snap":"2019-26-2019-30","text_gpt3_token_len":605,"char_repetition_ratio":0.13884993,"word_repetition_ratio":0.04597701,"special_character_ratio":0.25011665,"punctuation_ratio":0.15254237,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.981779,"pos_list":[0,1,2],"im_url_duplicate_count":[null,1,null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2019-07-20T23:12:39Z\",\"WARC-Record-ID\":\"<urn:uuid:4f28eb51-8d8e-4cca-8744-a97e306d5743>\",\"Content-Length\":\"78216\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:4170333b-dc45-4cf5-9995-485d8b4ea7c9>\",\"WARC-Concurrent-To\":\"<urn:uuid:ae31b3a8-0949-4dd1-b9c6-c65c12756134>\",\"WARC-IP-Address\":\"23.195.248.18\",\"WARC-Target-URI\":\"https://software.intel.com/pt-br/mkl-developer-reference-c-unghr\",\"WARC-Payload-Digest\":\"sha1:GKXUCN5SFJH3ZENNNAGMECBTNFEMUGNN\",\"WARC-Block-Digest\":\"sha1:4QLBVI4YJLHUDK43WRW4YLSBQLL2BCWG\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2019/CC-MAIN-2019-30/CC-MAIN-2019-30_segments_1563195526714.15_warc_CC-MAIN-20190720214645-20190721000645-00359.warc.gz\"}"}
https://proofwiki.org/wiki/Definition:Hamiltonian	[ "# Definition:Hamiltonian\n\n## Definition\n\nLet $J \\sqbrk {\\dotsm y_i \\dotsm}$ be a functional of the form:\n\n$\\displaystyle J \\sqbrk {\\dotsm y_i \\dotsm} = \\intlimits {\\int_{x_0}^{x_1} \\map F {x, \\cdots y_i \\dotsm, \\dotsm y_i \\dotsm} \\rd x} {i \\mathop = 1} {i \\mathop = n}$\n\nThen the Hamilonian...	[ null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.5860645,"math_prob":0.9986217,"size":1156,"snap":"2021-04-2021-17","text_gpt3_token_len":370,"char_repetition_ratio":0.13802083,"word_repetition_ratio":0.1299435,"special_character_ratio":0.3365052,"punctuation_ratio":0.2801724,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9997601,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2021-01-16T17:46:18Z\",\"WARC-Record-ID\":\"<urn:uuid:032a3a18-c879-4c97-b402-ff7d86acd573>\",\"Content-Length\":\"36300\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:a3f7b066-c97b-45f1-b912-84dbbe8da2b9>\",\"WARC-Concurrent-To\":\"<urn:uuid:405504a7-54be-4854-8710-0880952b1f2e>\",\"WARC-IP-Address\":\"104.21.84.229\",\"WARC-Target-URI\":\"https://proofwiki.org/wiki/Definition:Hamiltonian\",\"WARC-Payload-Digest\":\"sha1:RVWJURHECVCS4ZK3PPOVP2VS44IJBBN7\",\"WARC-Block-Digest\":\"sha1:HVMW3Y4JDHXJ2ILVTC2FLAH6LPAYV63M\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2021/CC-MAIN-2021-04/CC-MAIN-2021-04_segments_1610703506832.21_warc_CC-MAIN-20210116165621-20210116195621-00445.warc.gz\"}"}
https://saoghal.net/slides/heidelberg-zoom/	[ "### Gravitational waves from a strong electroweak phase transition\n\nDavid Weir [he/him] - davidjamesweir\n\nUniversity of Helsinki\n\nsaoghal.net/slides/heidelberg-zoom\n\nHeidelberg online-Teilchentee, 9 July 2020\n\n### How can we make this work?\n\n• View the slides at:\nsaoghal.net/slides/heidelberg-zoom\n• ...	[ null, "https://saoghal.net/slides/heidelberg-zoom/media/drsketch.png", null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.5980859,"math_prob":0.9943936,"size":6268,"snap":"2022-27-2022-33","text_gpt3_token_len":2001,"char_repetition_ratio":0.13122605,"word_repetition_ratio":0.1559322,"special_character_ratio":0.31429484,"punctuation_ratio":0.12685914,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.99843866,"pos_list":[0,1,2],"im_url_duplicate_count":[null,4,null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2022-06-27T09:21:51Z\",\"WARC-Record-ID\":\"<urn:uuid:aa223a00-c253-42b9-a1f4-35b8be9116bc>\",\"Content-Length\":\"30588\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:7a2551d0-29ad-4971-8bc4-650506a1fe29>\",\"WARC-Concurrent-To\":\"<urn:uuid:a9655367-ac31-4251-a7b3-bfe65f1951f7>\",\"WARC-IP-Address\":\"95.217.29.66\",\"WARC-Target-URI\":\"https://saoghal.net/slides/heidelberg-zoom/\",\"WARC-Payload-Digest\":\"sha1:QAQB3SS7FOIUWUHMFGNT2V2C4PUUAK23\",\"WARC-Block-Digest\":\"sha1:OOSTUUAS2MVBUPAUVAPDLTBU45LKPL2H\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2022/CC-MAIN-2022-27/CC-MAIN-2022-27_segments_1656103329963.19_warc_CC-MAIN-20220627073417-20220627103417-00240.warc.gz\"}"}
https://zh.wikibooks.org/wiki/Haskell/MonadPlus	[ "## 定义\n\n`MonadPlus` 类型类定义了两个函数. `mzero` 是表示没有结果的值; `mplus` 则是一个将两个计算合并的二元函数.\n\n```class Monad m => MonadPlus m where\nmzero :: m a\nmplus :: m a -> m a -> m a\n```\n\n```instance MonadPlus [] where\nmzero = []\nmplus = (++)\n\nmzero = Nothing\nNothing `mplus` Nothing = Nothing -- 0 个结果 + 0 个结果 ...	[ null ]	{"ft_lang_label":"__label__zh","ft_lang_prob":0.8662942,"math_prob":0.9988252,"size":5846,"snap":"2019-51-2020-05","text_gpt3_token_len":3462,"char_repetition_ratio":0.15987675,"word_repetition_ratio":0.06037001,"special_character_ratio":0.3575094,"punctuation_ratio":0.22929381,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9984751,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2019-12-15T03:28:49Z\",\"WARC-Record-ID\":\"<urn:uuid:344d5432-08e5-4fea-96bb-5202410337fe>\",\"Content-Length\":\"63147\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:bd4253bb-ae4f-47df-b4a8-fa313549d016>\",\"WARC-Concurrent-To\":\"<urn:uuid:0918e1c5-64b4-4221-a971-a89c1785a050>\",\"WARC-IP-Address\":\"208.80.154.224\",\"WARC-Target-URI\":\"https://zh.wikibooks.org/wiki/Haskell/MonadPlus\",\"WARC-Payload-Digest\":\"sha1:7ZRVNMEYKADHSNSXPRTQ4S744DC4NEJN\",\"WARC-Block-Digest\":\"sha1:WBGMLSV4ZGRADORRGZ6LW2DSEJP4YSWY\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2019/CC-MAIN-2019-51/CC-MAIN-2019-51_segments_1575541301014.74_warc_CC-MAIN-20191215015215-20191215043215-00526.warc.gz\"}"}
https://www.jvejournals.com/article/16157	[ "# Thermodynamic performance analysis and improvement for cross-saddle type slide of electric discharge machine\n\n## Fuping Li1, Ying Li2, Zhifeng Liu3, Qiushi Hu4, Jianyong Liu5, Yan Li6\n\n1, 2, 3, 4College of Mechanical Engineering and Applied Electronics Technology, Beijing University of Technology, Beijing, C...	[ null, "https://cdn.jvejournals.com/articles/16157/xml/img1.jpg", null, "https://cdn.jvejournals.com/articles/16157/xml/img2.jpg", null, "https://cdn.jvejournals.com/articles/16157/xml/img3.jpg", null, "https://cdn.jvejournals.com/articles/16157/xml/img4.jpg", null, "https://cdn.jvejournals.com/art...	{"ft_lang_label":"__label__en","ft_lang_prob":0.8633646,"math_prob":0.9638385,"size":15334,"snap":"2021-43-2021-49","text_gpt3_token_len":3310,"char_repetition_ratio":0.17358121,"word_repetition_ratio":0.03175258,"special_character_ratio":0.21253423,"punctuation_ratio":0.1348474,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.98196584,"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,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\":\"2021-10-17T19:35:55Z\",\"WARC-Record-ID\":\"<urn:uuid:ead5e1be-1c45-47e4-8402-66035614e129>\",\"Content-Length\":\"80742\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:adb064ad-decb-4fbe-9781-64ae144cc59e>\",\"WARC-Concurrent-To\":\"<urn:uuid:d71e095b-4ba4-4954-887e-439d16284f42>\",\"WARC-IP-Address\":\"20.50.64.3\",\"WARC-Target-URI\":\"https://www.jvejournals.com/article/16157\",\"WARC-Payload-Digest\":\"sha1:EQKJKGJVQI2JVP3LDYQAVFTIDN4OY5HW\",\"WARC-Block-Digest\":\"sha1:HN4HFHCRDXCOQQ2A3ASZ5NF5BQCUXCPH\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2021/CC-MAIN-2021-43/CC-MAIN-2021-43_segments_1634323585181.6_warc_CC-MAIN-20211017175237-20211017205237-00359.warc.gz\"}"}
https://www.colorhexa.com/02028a	[ "# #02028a Color Information\n\nIn a RGB color space, hex #02028a is composed of 0.8% red, 0.8% green and 54.1% blue. Whereas in a CMYK color space, it is composed of 98.6% cyan, 98.6% magenta, 0% yellow and 45.9% black. It has a hue angle of 240 degrees, a saturation of 97.1% and a lightness of 27.5%. #02028a colo...	[ null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.5232562,"math_prob":0.6384088,"size":3625,"snap":"2023-14-2023-23","text_gpt3_token_len":1631,"char_repetition_ratio":0.13697873,"word_repetition_ratio":0.0074074073,"special_character_ratio":0.56551725,"punctuation_ratio":0.23575419,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.99361897,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2023-03-21T03:39:31Z\",\"WARC-Record-ID\":\"<urn:uuid:16b5a7f4-6ed3-450c-9400-7f954a66a223>\",\"Content-Length\":\"36041\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:fbb6751c-ed0c-494e-a36d-11c6b45d38f6>\",\"WARC-Concurrent-To\":\"<urn:uuid:71785bac-bafd-487c-a59c-de8a80784277>\",\"WARC-IP-Address\":\"178.32.117.56\",\"WARC-Target-URI\":\"https://www.colorhexa.com/02028a\",\"WARC-Payload-Digest\":\"sha1:FKVQ25DNRJ3YIABP5YHKXFXS5T7WMF43\",\"WARC-Block-Digest\":\"sha1:LE6J6OZTKBPCCHVY54ZD2KQUSV25WZQO\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2023/CC-MAIN-2023-14/CC-MAIN-2023-14_segments_1679296943625.81_warc_CC-MAIN-20230321033306-20230321063306-00583.warc.gz\"}"}
https://rdrr.io/cran/units/man/Math.units.html	[ "# Math.units: Mathematical operations for units objects In units: Measurement Units for R Vectors\n\n Math.units R Documentation\n\n## Mathematical operations for units objects\n\n### Description\n\nMathematical operations for units objects\n\n### Usage\n\n``````## S3 method for class 'units'\nMath(x, ...)\n``````...	[ null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.68380976,"math_prob":0.91924787,"size":1738,"snap":"2023-40-2023-50","text_gpt3_token_len":513,"char_repetition_ratio":0.11188005,"word_repetition_ratio":0.018248174,"special_character_ratio":0.287687,"punctuation_ratio":0.17663044,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9965966,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2023-11-29T19:22:26Z\",\"WARC-Record-ID\":\"<urn:uuid:7be002bd-6c33-41fd-b445-36263d87ee4e>\",\"Content-Length\":\"26298\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:078589ac-4553-4694-9419-e20cd8d925f4>\",\"WARC-Concurrent-To\":\"<urn:uuid:22133421-161f-4160-a970-89246f59d881>\",\"WARC-IP-Address\":\"51.81.83.12\",\"WARC-Target-URI\":\"https://rdrr.io/cran/units/man/Math.units.html\",\"WARC-Payload-Digest\":\"sha1:D4XBHGPJIHV6OD5SBXSM7QUPM3NLOUXX\",\"WARC-Block-Digest\":\"sha1:FGJR5TPVC3ND6TA36H7DCI3H2N47YWVA\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2023/CC-MAIN-2023-50/CC-MAIN-2023-50_segments_1700679100135.11_warc_CC-MAIN-20231129173017-20231129203017-00845.warc.gz\"}"}
https://www.arxiv-vanity.com/papers/1310.6870/	[ "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# Joint Wireless Information and Energy Transfer in a K-User MIMO Interference Channel\n\nJaehyun Park, Bruno Clerckx, J. Park and B. Clerckx are with the Department of E...	[ null, "https://media.arxiv-vanity.com/render-output/3736295/x2.png", null, "https://media.arxiv-vanity.com/render-output/3736295/x3.png", null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.920314,"math_prob":0.9688064,"size":23389,"snap":"2020-34-2020-40","text_gpt3_token_len":4988,"char_repetition_ratio":0.16903998,"word_repetition_ratio":0.13084853,"special_character_ratio":0.2115952,"punctuation_ratio":0.10918344,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.99110115,"pos_list":[0,1,2,3,4],"im_url_duplicate_count":[null,1,null,1,null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2020-08-13T00:35:13Z\",\"WARC-Record-ID\":\"<urn:uuid:78951082-8cff-4694-b8af-258e4ac967ca>\",\"Content-Length\":\"1049277\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:e206faa6-4b5b-4262-8b48-8fb4c995ecde>\",\"WARC-Concurrent-To\":\"<urn:uuid:a5a64a29-fc10-4ac5-be63-51d59331bb36>\",\"WARC-IP-Address\":\"172.67.158.169\",\"WARC-Target-URI\":\"https://www.arxiv-vanity.com/papers/1310.6870/\",\"WARC-Payload-Digest\":\"sha1:GCYTYIIZSPMYTYREZPNQH4S7B6YZW5DE\",\"WARC-Block-Digest\":\"sha1:Z6ZCYWI3BWPDEFYSMGVLU3XJWV7P3L3P\",\"WARC-Truncated\":\"length\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2020/CC-MAIN-2020-34/CC-MAIN-2020-34_segments_1596439738950.31_warc_CC-MAIN-20200812225607-20200813015607-00510.warc.gz\"}"}
https://openhome.cc/Gossip/ECMAScript/Symbol.html	[ "# 符號\n\n``````> let x = Symbol()\nundefined\n> let y = Symbol('The description of this symbol')\nundefined\n>\n``````\n\n``````> Symbol('x') === Symbol('x')\nfalse\n>\n``````\n\n``````> Symbol('for each method of xxx').toString()\n'Symbol(for each method of xxx)'\n>\n``````\n\n``````> let s1 = Symbol.for('symbol 1...	[ null ]	{"ft_lang_label":"__label__zh","ft_lang_prob":0.906699,"math_prob":0.9789173,"size":2146,"snap":"2020-45-2020-50","text_gpt3_token_len":1495,"char_repetition_ratio":0.19421102,"word_repetition_ratio":0.086363636,"special_character_ratio":0.2558248,"punctuation_ratio":0.15044248,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.95244473,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2020-12-04T21:52:17Z\",\"WARC-Record-ID\":\"<urn:uuid:dfce5b65-b5c3-41d8-b2d9-909d909ad3b3>\",\"Content-Length\":\"11374\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:1a542c68-1302-4edf-ad01-836adca05829>\",\"WARC-Concurrent-To\":\"<urn:uuid:df6a7c3c-fe3b-435d-b7a4-824835bfca81>\",\"WARC-IP-Address\":\"203.98.64.6\",\"WARC-Target-URI\":\"https://openhome.cc/Gossip/ECMAScript/Symbol.html\",\"WARC-Payload-Digest\":\"sha1:OGZWTUZWXR42PUGXAKQ2HJBPOM6MBYI5\",\"WARC-Block-Digest\":\"sha1:GCFHR5SJRDJV7AVSDT6N2U5R3F74ECJJ\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2020/CC-MAIN-2020-50/CC-MAIN-2020-50_segments_1606141743438.76_warc_CC-MAIN-20201204193220-20201204223220-00373.warc.gz\"}"}
https://www.420magazine.com/community/threads/what-is-npk-all-about.163983/	[ "", null, "• What's new\n\n# What is NPK all about?\n\n#### SmokzAlot\n\n##### New Member\nN-P-K\nMost of us have grown accustomed to seeing the numbers, what ever combination they may come in.\n\n10-15-10\n12-9-10\n15-0-0\n18-54-20\n\nMost think it is the content of each, well sort of...\nOk then, what am I lo...	[ null, "https://www.420magazine.com/wp-content/uploads/2017/12/medical-marijuana-news.jpg", null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.84900457,"math_prob":0.9608358,"size":2404,"snap":"2021-31-2021-39","text_gpt3_token_len":753,"char_repetition_ratio":0.09833334,"word_repetition_ratio":0.98214287,"special_character_ratio":0.36064893,"punctuation_ratio":0.15172414,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9526468,"pos_list":[0,1,2],"im_url_duplicate_count":[null,3,null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2021-09-18T14:41:54Z\",\"WARC-Record-ID\":\"<urn:uuid:c77b51af-3ef8-4965-9dcc-235d592df050>\",\"Content-Length\":\"117479\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:35465b25-893b-4250-a8bf-0cf64448133c>\",\"WARC-Concurrent-To\":\"<urn:uuid:cd76f273-c384-48cb-bf49-bdc7bc007b66>\",\"WARC-IP-Address\":\"192.154.141.67\",\"WARC-Target-URI\":\"https://www.420magazine.com/community/threads/what-is-npk-all-about.163983/\",\"WARC-Payload-Digest\":\"sha1:EFBDJDVXQ6FRB3DEEJ63W263EYZUM5SF\",\"WARC-Block-Digest\":\"sha1:4FGY5KBZGNQG3CXWBEGA7IFNLXJV4YHE\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2021/CC-MAIN-2021-39/CC-MAIN-2021-39_segments_1631780056476.66_warc_CC-MAIN-20210918123546-20210918153546-00229.warc.gz\"}"}
https://graphsandnetworks.com/networkx-the-essential-api/	[ "NetworkX is a graph analysis library for Python. It has become the standard library for anything graphs in Python. In addition, it’s the basis for most libraries dealing with graph machine learning. Stellargraph in particular requires an understanding of NetworkX to construct graphs.\n\nBelow is an overview of the...	[ null, "https://graphsandnetworks.com/wp-content/uploads/2019/10/NetworkXOverview_6_1.png", null, "https://graphsandnetworks.com/wp-content/uploads/2019/10/NetworkXOverview_8_0.png", null, "https://graphsandnetworks.com/wp-content/uploads/2019/10/NetworkXOverview_10_0.png", null, "https://graphsandnetw...	{"ft_lang_label":"__label__en","ft_lang_prob":0.649092,"math_prob":0.98703957,"size":14461,"snap":"2020-34-2020-40","text_gpt3_token_len":4438,"char_repetition_ratio":0.11925019,"word_repetition_ratio":0.07522332,"special_character_ratio":0.34478945,"punctuation_ratio":0.23549703,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.99051976,"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],"im_url_duplicate_count":[null,4,null,4,null,4,null,4,null,4,null,4,null,4,null,4,null,4,null,4,null,4,null,4,null,4,null,4,null,4,null,4,null,4,null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2020-09-26T22:35:24Z\",\"WARC-Record-ID\":\"<urn:uuid:9da8be20-0db4-44a3-8edf-d3c81e62ac57>\",\"Content-Length\":\"95444\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:0e26465c-f10f-4ed7-a566-d0d7e2a3eb06>\",\"WARC-Concurrent-To\":\"<urn:uuid:a7adfff9-aedc-4fd5-af6b-e4ab173a9696>\",\"WARC-IP-Address\":\"100.42.50.190\",\"WARC-Target-URI\":\"https://graphsandnetworks.com/networkx-the-essential-api/\",\"WARC-Payload-Digest\":\"sha1:GFAGACISMUSJ6IULQYOH67GRF7WPXWYV\",\"WARC-Block-Digest\":\"sha1:MWCOEJXN6VSXCXXRN5TW5PGADZXIC4S4\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2020/CC-MAIN-2020-40/CC-MAIN-2020-40_segments_1600400245109.69_warc_CC-MAIN-20200926200523-20200926230523-00478.warc.gz\"}"}