URL stringlengths 15 1.68k | text_list listlengths 1 199 | image_list listlengths 1 199 | metadata stringlengths 1.19k 3.08k |
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https://terrytao.wordpress.com/2015/11/16/chains-of-large-gaps-between-primes/?replytocom=462034 | [
"Kevin Ford, James Maynard, and I have uploaded to the arXiv our preprint “Chains of large gaps between primes“. This paper was announced in our previous paper with Konyagin and Green, which was concerned with the largest gap",
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"$\\displaystyle G_1(X) := \\max_{p_n, p_{n+1} \\leq X} (p_{n+1} - p_n)$\n\nbe... | [
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"https://s0.wp.com/latex.php",
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"https://s0.wp.com/latex.php",
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"https://s0.wp.com/la... | {"ft_lang_label":"__label__en","ft_lang_prob":0.9421151,"math_prob":0.9997937,"size":12364,"snap":"2019-51-2020-05","text_gpt3_token_len":2936,"char_repetition_ratio":0.13317151,"word_repetition_ratio":0.020966271,"special_character_ratio":0.23811065,"punctuation_ratio":0.1182499,"nsfw_num_words":0,"has_unicode_error":... |
https://forum.allaboutcircuits.com/threads/control-system-questions-need-help-to-check-if-my-answers-are-correct.117319/ | [
"# Control System Questions. Need help to check if my answers are correct.\n\n#### ToonBlue\n\nJoined Nov 9, 2015\n2",
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"Given that C =35 in this question.\n\nG(s) = θ(s) / F(s) = 1 / (s^2 - α )\n\nα = (10 + C) / 1000 = 45 / 1000 = 9 / 200\n\nSystem pole can be found at s",
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"Thus , it tells me th... | [
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"https://forum.allaboutcircuits.com/proxy.php",
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"https://forum.allaboutcircuits.com/proxy.php",
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] | {"ft_lang_label":"__label__en","ft_lang_prob":0.76282835,"math_prob":0.99561,"size":861,"snap":"2020-45-2020-50","text_gpt3_token_len":311,"char_repetition_ratio":0.126021,"word_repetition_ratio":0.0990566,"special_character_ratio":0.4216028,"punctuation_ratio":0.071428575,"nsfw_num_words":0,"has_unicode_error":false,"... |
https://batmanlive.de/examples-of-exponential-functions-carbon-dating-1885.html | [
"# Examples of exponential functions carbon dating www dir dating com\n\nHere isotopes with longer half lives are used, which enables dating of geological formations and rocks. For example, in lava form, molten lead and Uranium-238 (standard isotope) are constantly mixed in a certain ratio of their natural abundanc... | [
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] | {"ft_lang_label":"__label__en","ft_lang_prob":0.9248544,"math_prob":0.84744895,"size":2008,"snap":"2020-45-2020-50","text_gpt3_token_len":398,"char_repetition_ratio":0.10678643,"word_repetition_ratio":0.0,"special_character_ratio":0.18974103,"punctuation_ratio":0.10054348,"nsfw_num_words":0,"has_unicode_error":false,"m... |
https://www.openmiddle.com/triangle-sum-theorem/ | [
"",
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"Home > Grade 8 > Geometry > Triangle Sum Theorem\n\n# Triangle Sum Theorem\n\nDirections: Using the digits 1-9 at most one time each, fill in the blanks so that when you solve for x, it is a whole number.",
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"### Hint\n\nHow many degrees must the two unknown angles sum to?\nCan you write an ... | [
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] | {"ft_lang_label":"__label__en","ft_lang_prob":0.8933428,"math_prob":0.9820126,"size":842,"snap":"2019-51-2020-05","text_gpt3_token_len":212,"char_repetition_ratio":0.12052506,"word_repetition_ratio":0.46835443,"special_character_ratio":0.24584323,"punctuation_ratio":0.11413044,"nsfw_num_words":0,"has_unicode_error":fal... |
https://amitness.com/2020/03/illustrated-simclr/ | [
"# The Illustrated SimCLR Framework\n\nIn recent years, numerous self-supervised learning methods have been proposed for learning image representations, each getting better than the previous. But, their performance was still below the supervised counterparts.\n\nThis changed when Chen et. al proposed a new framewor... | [
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"https://amitness.com/images/contrastive-find-a-pair.png",
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"https://amitness.com/images/contrastive-puzzle.gif",
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"https://amitness.com/images/simclr-contrastive-learning.png",
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"https://amitness.com/images/contras... | {"ft_lang_label":"__label__en","ft_lang_prob":0.8937454,"math_prob":0.92733043,"size":8319,"snap":"2021-43-2021-49","text_gpt3_token_len":1886,"char_repetition_ratio":0.1368611,"word_repetition_ratio":0.012326657,"special_character_ratio":0.2240654,"punctuation_ratio":0.09375,"nsfw_num_words":0,"has_unicode_error":fals... |
https://metanumbers.com/57800 | [
"## 57800\n\n57,800 (fifty-seven thousand eight hundred) is an even five-digits composite number following 57799 and preceding 57801. In scientific notation, it is written as 5.78 × 104. The sum of its digits is 20. It has a total of 7 prime factors and 36 positive divisors. There are 21,760 positive integers (up t... | [
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] | {"ft_lang_label":"__label__en","ft_lang_prob":0.6464781,"math_prob":0.9870172,"size":4540,"snap":"2020-34-2020-40","text_gpt3_token_len":1610,"char_repetition_ratio":0.12213404,"word_repetition_ratio":0.025110783,"special_character_ratio":0.4568282,"punctuation_ratio":0.08076923,"nsfw_num_words":0,"has_unicode_error":f... |
http://wet-techinc.com/y3h9b6/when-to-use-brackets-or-parentheses-in-interval-notation | [
"At first, they start to learn from the basic understanding of maths. If I helped you in this video, I would love to have you subscribe . It is a type of notation that represents aninterval with a pair of numbers. For a given function, y = F(x), if the value of y is increasing on increasing the value of x, then the... | [
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] | {"ft_lang_label":"__label__en","ft_lang_prob":0.88667345,"math_prob":0.9123353,"size":28455,"snap":"2023-40-2023-50","text_gpt3_token_len":5909,"char_repetition_ratio":0.2013286,"word_repetition_ratio":0.19785759,"special_character_ratio":0.21208927,"punctuation_ratio":0.12899607,"nsfw_num_words":0,"has_unicode_error":... |
https://www.jpost.com/international/us-agents-question-al-qaida-suspects-in-ethiopia | [
"(function (a, d, o, r, i, c, u, p, w, m) { m = d.getElementsByTagName(o), a[c] = a[c] || {}, a[c].trigger = a[c].trigger || function () { (a[c].trigger.arg = a[c].trigger.arg || []).push(arguments)}, a[c].on = a[c].on || function () {(a[c].on.arg = a[c].on.arg || []).push(arguments)}, a[c].off = a[c].off || functi... | [
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] | {"ft_lang_label":"__label__en","ft_lang_prob":0.9784008,"math_prob":0.96919554,"size":4262,"snap":"2023-40-2023-50","text_gpt3_token_len":821,"char_repetition_ratio":0.10732739,"word_repetition_ratio":0.044313148,"special_character_ratio":0.18653214,"punctuation_ratio":0.09293193,"nsfw_num_words":0,"has_unicode_error":... |
https://quizforexam.com/java-program-to-check-if-number-is-positive-or-negative/ | [
"# Java Program to Check if Number is Positive or Negative\n\nIn this post, we will write three java programs, first java program check whether the specified number is positive or negative. The second program will take user input using Scanner and check whether it is positive or negative and display the result. And... | [
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] | {"ft_lang_label":"__label__en","ft_lang_prob":0.58509135,"math_prob":0.9585581,"size":2770,"snap":"2022-05-2022-21","text_gpt3_token_len":610,"char_repetition_ratio":0.19848156,"word_repetition_ratio":0.30804598,"special_character_ratio":0.24296029,"punctuation_ratio":0.125,"nsfw_num_words":0,"has_unicode_error":false,... |
https://prwatech.in/blog/data-science/hypothesis-testing-tutorial/ | [
"### Hypothesis testing\n\n• date 20th July, 2019 |\n• by Prwatech |\n\n# Hypothesis Testing Tutorial\n\nHypothesis testing tutorial, hunting for the best platform which provides information about Hypothesis testing p-value method? Then welcome to the land of Hypothesis testing tutorial in Data Science. In this tut... | [
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"https://prwatech.in/blog/d... | {"ft_lang_label":"__label__en","ft_lang_prob":0.9100743,"math_prob":0.84987605,"size":5072,"snap":"2021-31-2021-39","text_gpt3_token_len":1002,"char_repetition_ratio":0.1805446,"word_repetition_ratio":0.025125628,"special_character_ratio":0.18809149,"punctuation_ratio":0.07590759,"nsfw_num_words":0,"has_unicode_error":... |
https://cran.ma.imperial.ac.uk/web/packages/runner/vignettes/apply_any_r_function.html | [
"# Apply any R function on rolling windows\n\n## Using runner\n\nrunner package provides functions applied on running windows. The most universal function is runner::runner which gives user possibility to apply any R function f on running windows. Running windows are defined for each data window size k, lag with re... | [
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"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAiwAAAFaCAYAAAA95AaoAAAAAXNSR0IArs4c6QAAAZ1pVFh0WE1MOmNvbS5hZG9iZS54bXAAAAAAADx4OnhtcG1ldGEgeG1sbnM6eD0iYWRvYmU6bnM6bWV0YS8iIHg6eG1wdGs9IlhNUCBDb3JlIDUuNC4wIj4KICAgPHJkZjpSREYgeG1sbnM6cmRmPSJodHRwOi8vd3d3LnczLm9yZy8xOTk5LzAyLzIyLXJkZi1zeW50YXgtbnMjIj4KICAgICAgP... | {"ft_lang_label":"__label__en","ft_lang_prob":0.7645428,"math_prob":0.99753374,"size":8543,"snap":"2022-27-2022-33","text_gpt3_token_len":2544,"char_repetition_ratio":0.12729828,"word_repetition_ratio":0.14524421,"special_character_ratio":0.3296266,"punctuation_ratio":0.1846068,"nsfw_num_words":0,"has_unicode_error":fa... |
https://codereview.stackexchange.com/questions/67502/defining-functions-in-vigenere-cipher | [
"# Defining functions in Vigenere cipher\n\nI'm trying to learn the process of defining/calling a (somewhat) complex function.\n\nI understand the main idea, and can do it on a small (simple) scale.\n\nA simple example:\n\ndef multiply(x, y):\nreturn x*y\n\nnumb1 = 2\nnumb2 = 3\n\nprint(multiply(numb1, numb2))\n\n\... | [
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] | {"ft_lang_label":"__label__en","ft_lang_prob":0.64668053,"math_prob":0.98804224,"size":1543,"snap":"2022-27-2022-33","text_gpt3_token_len":442,"char_repetition_ratio":0.1494477,"word_repetition_ratio":0.018867925,"special_character_ratio":0.33506158,"punctuation_ratio":0.13432837,"nsfw_num_words":0,"has_unicode_error":... |
https://se.mathworks.com/help/images/ref/regionprops3.html | [
"# regionprops3\n\nMeasure properties of 3-D volumetric image regions\n\n## Syntax\n\n``stats = regionprops3(BW,properties)``\n``stats = regionprops3(CC,properties)``\n``stats = regionprops3(L,properties)``\n``stats = regionprops3(___,V,properties)``\n\n## Description\n\nexample\n\n````stats = regionprops3(BW,prope... | [
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] | {"ft_lang_label":"__label__en","ft_lang_prob":0.6298862,"math_prob":0.9629732,"size":984,"snap":"2021-21-2021-25","text_gpt3_token_len":260,"char_repetition_ratio":0.14795919,"word_repetition_ratio":0.12592593,"special_character_ratio":0.23373984,"punctuation_ratio":0.16477273,"nsfw_num_words":0,"has_unicode_error":fal... |
http://freebookcentre.net/maths-books-download/Trigonometry-Lecture-Notes-And-Exercises-by-Daniel-Raies.html | [
"Trigonometry Books\n\nTrigonometry Lecture Notes And Exercises by Daniel Raies\n\nTrigonometry Lecture Notes And Exercises by Daniel Raies",
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"Trigonometry Lecture Notes And Exercises by Daniel Raies\n\nThis note provides an introduction to trigonometry, an introduction to vectors, and the operations on f... | [
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"http://freebookcentre.net/assets/images/book/... | {"ft_lang_label":"__label__en","ft_lang_prob":0.7234415,"math_prob":0.63929266,"size":609,"snap":"2019-26-2019-30","text_gpt3_token_len":146,"char_repetition_ratio":0.18677686,"word_repetition_ratio":0.0,"special_character_ratio":0.1724138,"punctuation_ratio":0.18811882,"nsfw_num_words":0,"has_unicode_error":false,"mat... |
https://numbermatics.com/n/7154925/ | [
"# 7154925\n\n## 7,154,925 is an odd composite number composed of four prime numbers multiplied together.\n\nWhat does the number 7154925 look like?\n\nThis visualization shows the relationship between its 4 prime factors (large circles) and 24 divisors.\n\n7154925 is an odd composite number. It is composed of four... | [
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] | {"ft_lang_label":"__label__en","ft_lang_prob":0.85335064,"math_prob":0.95434976,"size":2880,"snap":"2021-04-2021-17","text_gpt3_token_len":783,"char_repetition_ratio":0.13004172,"word_repetition_ratio":0.042410713,"special_character_ratio":0.33993056,"punctuation_ratio":0.16909091,"nsfw_num_words":0,"has_unicode_error"... |
https://alexn.org/snippets/2021/08/02/unsafelazyresource-scala.html | [
"# Unsafe Lazy Resource.scala\n\n``````import scala.util.control.NonFatal\n\n/** Builds a \"closeable\" resource that's initialized on-demand.\n*\n* Works like a `lazy val`, except that the logic for closing\n* the resource only happens in case the resource was initialized.\n*\n* NOTE: it's called \"unsafe\" becaus... | [
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] | {"ft_lang_label":"__label__en","ft_lang_prob":0.80339205,"math_prob":0.7349463,"size":2132,"snap":"2021-31-2021-39","text_gpt3_token_len":549,"char_repetition_ratio":0.10103384,"word_repetition_ratio":0.0,"special_character_ratio":0.29080674,"punctuation_ratio":0.13091922,"nsfw_num_words":0,"has_unicode_error":false,"m... |
https://asmedigitalcollection.asme.org/appliedmechanics/article-abstract/84/1/011008/422358/Riccati-Transfer-Matrix-Method-for-Linear-Tree?redirectedFrom=fulltext | [
"The Riccati transfer matrix method (RTMM) improves the numerical stability of analyzing chain multibody systems with the transfer matrix method for multibody systems (MSTMM). However, for linear tree multibody systems, the recursive relations of the Riccati transfer matrices, especially those for elements with mul... | [
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] | {"ft_lang_label":"__label__en","ft_lang_prob":0.73453957,"math_prob":0.92864376,"size":5870,"snap":"2020-10-2020-16","text_gpt3_token_len":1601,"char_repetition_ratio":0.1953631,"word_repetition_ratio":0.33967048,"special_character_ratio":0.24105622,"punctuation_ratio":0.17191978,"nsfw_num_words":0,"has_unicode_error":... |
https://convertoctopus.com/486-grams-to-pounds | [
"## Conversion formula\n\nThe conversion factor from grams to pounds is 0.0022046226218488, which means that 1 gram is equal to 0.0022046226218488 pounds:\n\n1 g = 0.0022046226218488 lb\n\nTo convert 486 grams into pounds we have to multiply 486 by the conversion factor in order to get the mass amount from grams to... | [
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] | {"ft_lang_label":"__label__en","ft_lang_prob":0.8010513,"math_prob":0.9958904,"size":1702,"snap":"2021-43-2021-49","text_gpt3_token_len":469,"char_repetition_ratio":0.18786807,"word_repetition_ratio":0.0,"special_character_ratio":0.37779084,"punctuation_ratio":0.10682493,"nsfw_num_words":0,"has_unicode_error":false,"ma... |
https://tutorme.com/blog/post/is-a-rectangle-a-parallelogram/ | [
"Enable contrast version\n\n# TutorMe Blog\n\n## Is a Rectangle a Parallelogram? Or Is a Parallelogram a Rectangle?\n\nInactive\nAndrew Lee\nJune 24, 2021",
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"Both rectangles and parallelograms are quadrilaterals, which means that they are polygons with four sides. But is a rectangle a parallelogram? Or is... | [
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] | {"ft_lang_label":"__label__en","ft_lang_prob":0.87600446,"math_prob":0.9595051,"size":2598,"snap":"2021-31-2021-39","text_gpt3_token_len":597,"char_repetition_ratio":0.21279876,"word_repetition_ratio":0.3105023,"special_character_ratio":0.19630484,"punctuation_ratio":0.095634095,"nsfw_num_words":0,"has_unicode_error":f... |
https://forum.yourwebapp.mobi/quick-tip-accept-multiple-vouchers-in-opencart-2-0/ | [
"# Quick Tip: Accept Multiple Vouchers in OpenCart 2.0\n\nOpenCart is\nan open-source, PHP-based online e-commerce\nsolution that allows you to accept orders online. It allows customers to shop using vouchers, but only one at a time by default. If you want to allow your customers to use multiple vouchers at once, y... | [
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] | {"ft_lang_label":"__label__en","ft_lang_prob":0.7250505,"math_prob":0.45231104,"size":4941,"snap":"2022-40-2023-06","text_gpt3_token_len":1182,"char_repetition_ratio":0.13895078,"word_repetition_ratio":0.07334273,"special_character_ratio":0.2655333,"punctuation_ratio":0.11098131,"nsfw_num_words":0,"has_unicode_error":f... |
https://forum.math.toronto.edu/index.php?PHPSESSID=21sdpmpqbh1trmhuru2cav0sm3&topic=1523.msg5378 | [
"###",
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"Author Topic: 2.5 Q19 (Read 2108 times)\n\n#### Huanglei Ln\n\n• Jr. Member\n•",
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"",
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"• Posts: 8\n• Karma: 7",
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"##### 2.5 Q19\n« on: November 18, 2018, 04:01:10 AM »\nCan anyone help me this question? Thanks!\nSuppose that the Laurent series $\\sum\\nolimits_{-\\inft... | [
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... | {"ft_lang_label":"__label__en","ft_lang_prob":0.5102405,"math_prob":0.9969787,"size":442,"snap":"2022-27-2022-33","text_gpt3_token_len":183,"char_repetition_ratio":0.12100457,"word_repetition_ratio":0.0,"special_character_ratio":0.41855204,"punctuation_ratio":0.13861386,"nsfw_num_words":0,"has_unicode_error":false,"mat... |
https://techcommunity.microsoft.com/t5/excel/seeking-for-a-formula/td-p/2019229 | [
"",
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"SOLVED\n\n# Seeking for a Formula\n\nHello guys,\n\nI need a help in finding a formula. Here are my conditions:\n\n1. I need to get 3 Results 0, 0.5 and 1.\n\n2. My condition is if the value of the cell is not given then the output should be 0,\n\nIf my cell value is 0<X<=4 then my result should be ... | [
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"https://www.facebook.com/tr",
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] | {"ft_lang_label":"__label__en","ft_lang_prob":0.82788134,"math_prob":0.9630812,"size":795,"snap":"2021-21-2021-25","text_gpt3_token_len":293,"char_repetition_ratio":0.16814159,"word_repetition_ratio":0.14102565,"special_character_ratio":0.41509435,"punctuation_ratio":0.1559633,"nsfw_num_words":0,"has_unicode_error":fal... |
http://physicslab.org/PracticeProblems/Worksheets/Phy1/MathSkills/Basics.aspx | [
"",
null,
"Practice Problems Fundamental Math\n\nDirections: On this worksheet you will practice some fundamental math and data analysis skills.",
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"Question 1 The metric prefix mega represents 0.000001 times a quantity 1000 times a quantity0.001 times a quantity1000000 times a quantity",
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"Q... | [
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"http://physicslab.org/... | {"ft_lang_label":"__label__en","ft_lang_prob":0.767166,"math_prob":0.98738956,"size":2062,"snap":"2023-40-2023-50","text_gpt3_token_len":685,"char_repetition_ratio":0.12536444,"word_repetition_ratio":0.017902814,"special_character_ratio":0.36469448,"punctuation_ratio":0.13953489,"nsfw_num_words":0,"has_unicode_error":f... |
https://digitalcommons.aaru.edu.jo/pfda/vol5/iss2/6/ | [
"•\n•\n\n## Progress in Fractional Differentiation & Applications\n\n#### Article Title\n\nNew Aspects of Caputo-Fabrizio Fractional Derivative\n\nUAE.\n\n#### Abstract\n\nIn this paper, we consider classes of linear and nonlinear fractional differential equations involving the Caputo-Fabrizio fractional derivative... | [
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] | {"ft_lang_label":"__label__en","ft_lang_prob":0.8222035,"math_prob":0.9557678,"size":1216,"snap":"2022-40-2023-06","text_gpt3_token_len":258,"char_repetition_ratio":0.14108911,"word_repetition_ratio":0.013986014,"special_character_ratio":0.1981908,"punctuation_ratio":0.14778325,"nsfw_num_words":0,"has_unicode_error":fa... |
https://www.phpexercises.com/php-arithmetic-assignment-operators-variables.html | [
"# PHP Beginnings Ex. #4: Arithmetic-Assignment Operators and Variables\n\nArithmetic-assignment operators perform an arithmetic operation on the variable at the same time as assigning a new value. For this PHP exercise, write a script to reproduce the output below. Manipulate only one variable using no simple arit... | [
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] | {"ft_lang_label":"__label__en","ft_lang_prob":0.8321045,"math_prob":0.9747075,"size":4896,"snap":"2021-31-2021-39","text_gpt3_token_len":1289,"char_repetition_ratio":0.20543745,"word_repetition_ratio":0.14668219,"special_character_ratio":0.27450982,"punctuation_ratio":0.14591439,"nsfw_num_words":0,"has_unicode_error":f... |
https://social.msdn.microsoft.com/Forums/en-US/9aa281a0-c0c3-4ce1-8433-26a237c80bba/excel-columns-handling?forum=aspenterprise | [
"#",
null,
"excel columns handling",
null,
"• ### Question\n\n•",
null,
"User-1314424833 posted\n\nHi\n\nMy ques is for excel.\n\nI have 5 columns each column having thousands of records but of same datatype I want my all records from all 4 columns to be pasted in first column one after another.\n\nIs i... | [
null,
"https://i1.social.s-msft.com/Forums/../globalresources/Images/trans.gif",
null,
"https://i1.social.s-msft.com/Forums/../globalresources/Images/trans.gif",
null,
"https://i1.social.s-msft.com/Forums/../globalresources/Images/trans.gif",
null,
"https://i1.social.s-msft.com/Forums/../globalresourc... | {"ft_lang_label":"__label__en","ft_lang_prob":0.6170513,"math_prob":0.43587846,"size":1159,"snap":"2022-40-2023-06","text_gpt3_token_len":276,"char_repetition_ratio":0.22337662,"word_repetition_ratio":0.0,"special_character_ratio":0.18809319,"punctuation_ratio":0.14117648,"nsfw_num_words":0,"has_unicode_error":false,"m... |
https://mathematica.stackexchange.com/questions/64407/phase-portrait-on-a-cylinder?noredirect=1 | [
"# Phase portrait on a cylinder\n\nIt is very nice and very easy to make a sketch of a phase portrait with StreamPlot. For example, for the classical pendulum, defined by\n\n\\begin{eqnarray*} \\dot x&=&y,\\\\ \\dot y&=&-\\sin x, \\end{eqnarray*}\n\nThe code\n\nStreamPlot[{y, -Sin[x]}, {x, -5, 5}, {y, -3, 3},\nFram... | [
null,
"https://i.stack.imgur.com/CDuJG.jpg",
null,
"https://i.stack.imgur.com/JZzVC.png",
null,
"https://i.stack.imgur.com/0H5fN.png",
null,
"https://i.stack.imgur.com/vZMdM.png",
null,
"https://i.stack.imgur.com/AfRnA.png",
null,
"https://i.stack.imgur.com/LJKSP.png",
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.8432165,"math_prob":0.9624026,"size":1010,"snap":"2020-45-2020-50","text_gpt3_token_len":298,"char_repetition_ratio":0.099403575,"word_repetition_ratio":0.0,"special_character_ratio":0.3049505,"punctuation_ratio":0.17431192,"nsfw_num_words":0,"has_unicode_error":false,"ma... |
https://www.gradesaver.com/textbooks/math/calculus/calculus-3rd-edition/chapter-7-exponential-functions-7-1-derivative-of-f-x-bx-and-the-number-e-exercises-page-327/4 | [
"## Calculus (3rd Edition)\n\n$$t=1, \\quad t=3.$$\nSince the bases are equal, then the exponents are equal. Hence, $$t^2=4t-3\\Longrightarrow t^2-4t+3=0 \\Longrightarrow (t-1)(t-3)=0.$$ Then, $$t=1, \\quad t=3.$$"
] | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.8171762,"math_prob":1.0000098,"size":453,"snap":"2023-14-2023-23","text_gpt3_token_len":132,"char_repetition_ratio":0.09576838,"word_repetition_ratio":0.0,"special_character_ratio":0.29801324,"punctuation_ratio":0.13,"nsfw_num_words":0,"has_unicode_error":false,"math_prob... |
https://www.colorhexa.com/44c00c | [
"# #44c00c Color Information\n\nIn a RGB color space, hex #44c00c is composed of 26.7% red, 75.3% green and 4.7% blue. Whereas in a CMYK color space, it is composed of 64.6% cyan, 0% magenta, 93.8% yellow and 24.7% black. It has a hue angle of 101.3 degrees, a saturation of 88.2% and a lightness of 40%. #44c00c col... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.6269312,"math_prob":0.74643445,"size":3673,"snap":"2020-10-2020-16","text_gpt3_token_len":1641,"char_repetition_ratio":0.12237667,"word_repetition_ratio":0.011111111,"special_character_ratio":0.5608494,"punctuation_ratio":0.23634337,"nsfw_num_words":0,"has_unicode_error":... |
https://k12.libretexts.org/Bookshelves/Mathematics/Geometry/09%3A_Solid_Figures/9.21%3A_Heights_of_Cylinders_Given_Surface_Area_or_Volume | [
"# 9.21: Heights of Cylinders Given Surface Area or Volume\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{\... | [
null,
"https://k12.libretexts.org/@api/deki/files/4140/f-d_2084ff70471545e8d5321366957af8090c8fb63b1ee2d8b902625e1c%252BIMAGE_THUMB_POSTCARD_TINY%252BIMAGE_THUMB_POSTCARD_TINY.jpg",
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.7859026,"math_prob":0.9997187,"size":7717,"snap":"2022-27-2022-33","text_gpt3_token_len":2633,"char_repetition_ratio":0.17489952,"word_repetition_ratio":0.23514645,"special_character_ratio":0.4032655,"punctuation_ratio":0.13977869,"nsfw_num_words":0,"has_unicode_error":fa... |
https://matheducators.stackexchange.com/questions/12155/mindless-use-of-antisimplifications-such-as-1-x1-y-xy-xy-and-1-sqrt2/12190#12190 | [
"# Mindless use of \"antisimplifications\" such as $1/x+1/y=(x+y)/xy$ and $1/\\sqrt{2}=\\sqrt{2}/2$\n\nI recently gave an exam problem that roughly 2/3 of the class made much more difficult by using the identity $1/x+1/y=(x+y)/xy$. Their work would have been much simpler if they hadn't done this. It seems like a sy... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.97247005,"math_prob":0.92843896,"size":2039,"snap":"2021-43-2021-49","text_gpt3_token_len":467,"char_repetition_ratio":0.095823094,"word_repetition_ratio":0.0,"special_character_ratio":0.23148602,"punctuation_ratio":0.077108435,"nsfw_num_words":0,"has_unicode_error":false... |
https://de.maplesoft.com/support/help/maplesim/view.aspx?path=updates%2FMaple2015%2FVisualization | [
"",
null,
"Visualization - Maple Help\n\n Visualization",
null,
"New Visualizations\n\n Iterative Maps Group Theory Statistics Polyhedral Sets Data Plots",
null,
"Easier Plotting of Data Sets\n\nThe new dataplot command unifies many common visualizations for data in one convenient command.",
null,
"... | [
null,
"https://bat.bing.com/action/0",
null,
"https://de.maplesoft.com/support/help/maplesim/arrow_down.gif",
null,
"https://de.maplesoft.com/support/help/maplesim/arrow_down.gif",
null,
"https://de.maplesoft.com/support/help/content/726/plot167.png",
null,
"https://de.maplesoft.com/support/help/c... | {"ft_lang_label":"__label__en","ft_lang_prob":0.7006159,"math_prob":0.9720322,"size":3022,"snap":"2021-43-2021-49","text_gpt3_token_len":854,"char_repetition_ratio":0.122266404,"word_repetition_ratio":0.0,"special_character_ratio":0.237591,"punctuation_ratio":0.20783132,"nsfw_num_words":0,"has_unicode_error":false,"mat... |
https://www.gradesaver.com/textbooks/math/trigonometry/CLONE-68cac39a-c5ec-4c26-8565-a44738e90952/chapter-4-graphs-of-the-circular-functions-section-4-3-graphs-of-the-tangent-and-cotangent-functions-4-3-exercises-page-171/21 | [
"# Chapter 4 - Graphs of the Circular Functions - Section 4.3 Graphs of the Tangent and Cotangent Functions - 4.3 Exercises - Page 171: 21",
null,
"RECALL: (1) The period of the function $y=\\tan{(bx)}$ is $\\frac{\\pi}{b}$. (2) The consecutive vertical asymptotes of the function $y=\\tan{x}$, whose period is $... | [
null,
"https://gradesaver.s3.amazonaws.com/uploads/solution/b16deeb5-b219-4085-b597-9d9f08dd0a17/result_image/1524023704.PNG",
null,
"https://gradesaver.s3.amazonaws.com/uploads/solution/b16deeb5-b219-4085-b597-9d9f08dd0a17/steps_image/small_1524023704.PNG",
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.8064608,"math_prob":0.99972147,"size":1041,"snap":"2022-40-2023-06","text_gpt3_token_len":291,"char_repetition_ratio":0.14657666,"word_repetition_ratio":0.025157232,"special_character_ratio":0.29490873,"punctuation_ratio":0.11162791,"nsfw_num_words":0,"has_unicode_error":... |
https://physics.stackexchange.com/questions/18062/how-do-electromagnetic-waves-carry-quantised-energy?noredirect=1 | [
"# How do electromagnetic waves carry quantised energy?\n\nIf an electron oscillates about a mean position, it will create a time varying electric filed which in turn will create a time varying magnetic field and so on to create an electromagnetic wave. How does this wave carry energy , in which amount and how can ... | [
null,
"https://i.stack.imgur.com/vps0c.gif",
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.96547997,"math_prob":0.9861628,"size":946,"snap":"2020-24-2020-29","text_gpt3_token_len":196,"char_repetition_ratio":0.09978768,"word_repetition_ratio":0.0,"special_character_ratio":0.20824525,"punctuation_ratio":0.10614525,"nsfw_num_words":0,"has_unicode_error":false,"ma... |
https://studylib.net/doc/17734524/ | [
"# Document 17734524",
null,
"```Math 138\nAssignment 8\nSupplemental Problem Set for Section 2.2\nNote that this is a two-page document.\nFind the slope of each line.\nFind the slope of the straight line through the two points whose coordinates are given.\n7. (10, 2) and (25, 5)\n8. (6, 42) and (0, 0)\n9. (1, ... | [
null,
"https://s2.studylib.net/store/data/017734524_1-9180673a033ada78c44f79970b362968.png",
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.8791958,"math_prob":0.9989044,"size":1236,"snap":"2020-10-2020-16","text_gpt3_token_len":513,"char_repetition_ratio":0.13798702,"word_repetition_ratio":0.03311258,"special_character_ratio":0.46278316,"punctuation_ratio":0.23969072,"nsfw_num_words":1,"has_unicode_error":fa... |
https://services.anu.edu.au/research-support/tools-resources/statistical-modelling | [
"Statistical Modelling\n\nThe Statistical Consulting Unit recommends this list of books on the topic of statistical modelling.\n\n• Agresti, A. (2007). An introduction to categorical data analysis, Hoboken- NJ Wiley:Interscience\n• Dobson, A.J. and Barnett, A. (2008). An introduction to Generalized linear models. 3... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.67162555,"math_prob":0.50933605,"size":511,"snap":"2019-43-2019-47","text_gpt3_token_len":132,"char_repetition_ratio":0.10650887,"word_repetition_ratio":0.0,"special_character_ratio":0.24266145,"punctuation_ratio":0.23762377,"nsfw_num_words":0,"has_unicode_error":false,"m... |
https://albafun.info/1st-grade-maths-worksheets-2/ | [
"# 1St Grade Maths Worksheets, Math Worksheet Practice Worksheets For 1St Grade Math Worksheet Reading 3Rd Free Printable Practice Worksheets For 1St Grade Free Math Practice Worksheets For 1St Grade Worksheets For First Grade Reading Reading\n\n1St Grade Maths Worksheets. The initial focus is on numbers and counti... | [
null,
"https://albafun.info/wp-content/uploads/2021/02/graphics-upto10-preview.png",
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.86162806,"math_prob":0.64947367,"size":11700,"snap":"2021-21-2021-25","text_gpt3_token_len":2371,"char_repetition_ratio":0.22828317,"word_repetition_ratio":0.41599137,"special_character_ratio":0.19213675,"punctuation_ratio":0.09770688,"nsfw_num_words":0,"has_unicode_error... |
https://neurips.cc/Conferences/2017/ScheduleMultitrack?event=9162 | [
"Timezone: »\n\nPoster\nInfluence Maximization with $\\varepsilon$-Almost Submodular Threshold Functions\nQiang Li · Wei Chen · Institute of Computing Xiaoming Sun · Institute of Computing Jialin Zhang\n\nMon Dec 04 06:30 PM -- 10:30 PM (PST) @ Pacific Ballroom #158\nInfluence maximization is the problem of selecti... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.64267683,"math_prob":0.9864229,"size":3609,"snap":"2022-40-2023-06","text_gpt3_token_len":888,"char_repetition_ratio":0.1292649,"word_repetition_ratio":0.11785714,"special_character_ratio":0.2299806,"punctuation_ratio":0.07079646,"nsfw_num_words":0,"has_unicode_error":fal... |
https://myriverside.sd43.bc.ca/alhanz2016/2017/09/19/math-10-honors-numbers-summary/ | [
"# Math 10 Honors Numbers Summary\n\nStarting off the unit, we learned about prime numbers (a number that can only be divided by itself and 1) Writing the poem about prime numbers was very fun because I added the fact that 1 and 0 are not a prime number to my poem. By doing the first assignment and finding prime nu... | [
null,
"https://myriverside.sd43.bc.ca/alhanz2016/files/2017/09/IMG_3448-2hpab27-632x277.jpg",
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.96553797,"math_prob":0.9498383,"size":1936,"snap":"2019-43-2019-47","text_gpt3_token_len":401,"char_repetition_ratio":0.14492753,"word_repetition_ratio":0.03468208,"special_character_ratio":0.20144628,"punctuation_ratio":0.056,"nsfw_num_words":0,"has_unicode_error":false,... |
https://www.ukessays.com/essays/accounting/an-analysis-of-the-depreciation-methods-in-gaap-in-the-uk-accounting-essay.php | [
"# An analysis of the Depreciation Methods in GAAP in the UK\n\n1491 words (6 pages) Essay\n\n1st Jan 1970 Accounting Reference this\n\nDisclaimer: This work has been submitted by a university student. This is not an example of the work produced by our Essay Writing Service. You can view samples of our professional... | [
null,
"https://www.ukessays.com/images/ak-logo.png",
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.88657105,"math_prob":0.9201174,"size":9079,"snap":"2020-45-2020-50","text_gpt3_token_len":2168,"char_repetition_ratio":0.18798898,"word_repetition_ratio":0.072264284,"special_character_ratio":0.24793479,"punctuation_ratio":0.11943662,"nsfw_num_words":0,"has_unicode_error"... |
https://git.geomar.de/open-source/hamlets_ILD_vision_pigmentation/commit/489dd18fa6bb7da27648cac50b0f50249694997b | [
"### revision_R2\n\nparent a5aeb3c5\n ... ... @@ -2,11 +2,11 @@ create_K_plot <- function(searchLG,gfffile,xr,searchgene,secondary_genes,searchs source('../../0_data/0_scripts/F3.functions.R'); source('../../0_data/0_scripts/F3.getFSTs.R') source('../../0_data/0_scripts/F3.getDXY.R') source('../../0_data/0_scripts/... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.73413116,"math_prob":0.99035496,"size":191,"snap":"2020-34-2020-40","text_gpt3_token_len":78,"char_repetition_ratio":0.21390374,"word_repetition_ratio":0.0,"special_character_ratio":0.46596858,"punctuation_ratio":0.14285715,"nsfw_num_words":0,"has_unicode_error":false,"ma... |
http://www.statistics101.net/userguide/UserGuide18.html | [
"CONCAT inputVector {inputVector} resultVariable\n\n Concatenates the elements of the input vectors in the order listed and puts the result in the result variable. In Statistics101, this command has been generalized to allow input of any number and mix of input vectors and/or any kind of literal list, literal seque... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.79018885,"math_prob":0.8096587,"size":1601,"snap":"2019-26-2019-30","text_gpt3_token_len":487,"char_repetition_ratio":0.11897308,"word_repetition_ratio":0.021505376,"special_character_ratio":0.30793256,"punctuation_ratio":0.17054264,"nsfw_num_words":0,"has_unicode_error":... |
http://ascl.net/1804.014 | [
"# ASCL Code Record\n\n[ascl:1804.014] IMNN: Information Maximizing Neural Networks\n\nThis software trains artificial neural networks to find non-linear functionals of data that maximize Fisher information: information maximizing neural networks (IMNNs). As compressing large data sets vastly simplifies both freque... | [
null,
"https://img.shields.io/badge/ascl-1804.014-blue.svg",
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.8316407,"math_prob":0.6513699,"size":989,"snap":"2020-45-2020-50","text_gpt3_token_len":174,"char_repetition_ratio":0.10253807,"word_repetition_ratio":0.0,"special_character_ratio":0.1496461,"punctuation_ratio":0.08163265,"nsfw_num_words":0,"has_unicode_error":false,"math... |
https://www.howmany.wiki/formula/cubic-millimeter--to--Tablespoon-%5BUS%5D | [
"# Cubic millimeters to Tablespoons [US] formula\n\nUse the formula below to convert any value from cubic millimeters to Tablespoons [US]:\n\nTablespoons [US] = cubic millimeters × 6.7628045403686E-5\n\nTo from cubic millimeters to Tablespoon [US], you just need to multiply the value in cubic millimeters by 6.76280... | [
null,
"https://www.howmany.wiki/images/calculator16x20.png",
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.5291698,"math_prob":0.9959787,"size":1559,"snap":"2019-13-2019-22","text_gpt3_token_len":494,"char_repetition_ratio":0.28938907,"word_repetition_ratio":0.043269232,"special_character_ratio":0.40346375,"punctuation_ratio":0.15354331,"nsfw_num_words":0,"has_unicode_error":f... |
https://math.stackexchange.com/questions/923102/question-about-a-basis-for-a-topology-vs-the-topology-generated-by-a-basis | [
"# Question about a basis for a topology vs the topology generated by a basis?\n\nThis is a really basic (no pun intended......no? Ok...) question about what it means to be a basis for a topology.\n\nHere is what I know: If $(X, \\mathcal{T})$ is a topological space, and $\\mathcal{B} \\subseteq \\mathcal{T}$ is a ... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.76422685,"math_prob":0.9996908,"size":1438,"snap":"2020-24-2020-29","text_gpt3_token_len":477,"char_repetition_ratio":0.25383544,"word_repetition_ratio":0.07860262,"special_character_ratio":0.34770516,"punctuation_ratio":0.123809524,"nsfw_num_words":0,"has_unicode_error":... |
https://new.clickercentral.net/item_0045/ | [
"# A2L Item 045\n\nGoal: Reason using 2nd law.\n\nSource: UMPERG-ctqpe24\n\nConsider the two situations presented below. T1 is the tension in the string in case A and T2 is the tension in the string in case B.",
null,
"Which of the following statements is correct?\n\n1. T1 < T2\n2. T1 = T2\n3. T1 > T2\n4. Canno... | [
null,
"https://new.clickercentral.net/files/Item045_fig1.gif",
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.8998718,"math_prob":0.88560927,"size":2409,"snap":"2022-40-2023-06","text_gpt3_token_len":536,"char_repetition_ratio":0.15010396,"word_repetition_ratio":0.06896552,"special_character_ratio":0.20506434,"punctuation_ratio":0.083333336,"nsfw_num_words":0,"has_unicode_error":... |
https://geoenergymath.com/tag/lte/ | [
"# Gravitational Pull\n\nIn Chapter 12 of the book, we provide an empirical gravitational forcing term that can be applied to the Laplace’s Tidal Equation (LTE) solution for modeling ENSO. The inverse squared law is modified to a cubic law to take into account the differential pull from opposite sides of the earth.... | [
null,
"https://imagizer.imageshack.com/img924/275/nMYgqI.png",
null,
"https://imagizer.imageshack.com/img923/7823/MUzPAN.png",
null,
"https://camo.githubusercontent.com/611e34f7fca37616684d32132f14b143719a241a/68747470733a2f2f696d6167697a65722e696d616765736861636b2e636f6d2f696d673932322f313838392f51656435... | {"ft_lang_label":"__label__en","ft_lang_prob":0.92914194,"math_prob":0.9249,"size":2037,"snap":"2020-45-2020-50","text_gpt3_token_len":447,"char_repetition_ratio":0.09640925,"word_repetition_ratio":0.0,"special_character_ratio":0.20471281,"punctuation_ratio":0.065789476,"nsfw_num_words":0,"has_unicode_error":false,"mat... |
https://www.dsprelated.com/freebooks/mdft/Bandlimited_Interpolation_Time_Limited_Signals.html | [
"#### Bandlimited Interpolation of Time-Limited Signals\n\nThe previous result can be extended toward bandlimited interpolation of",
null,
"which includes all nonzero samples from an arbitrary time-limited signal",
null,
"(i.e., going beyond the interpolation of only periodic bandlimited signals given one o... | [
null,
"http://www.dsprelated.com/josimages_new/mdft/img1473.png",
null,
"http://www.dsprelated.com/josimages_new/mdft/img1466.png",
null,
"http://www.dsprelated.com/josimages_new/mdft/img78.png",
null,
"http://www.dsprelated.com/josimages_new/mdft/img1474.png",
null,
"http://www.dsprelated.com/jos... | {"ft_lang_label":"__label__en","ft_lang_prob":0.8970313,"math_prob":0.9430079,"size":1507,"snap":"2023-14-2023-23","text_gpt3_token_len":296,"char_repetition_ratio":0.115103126,"word_repetition_ratio":0.0,"special_character_ratio":0.19177173,"punctuation_ratio":0.08984375,"nsfw_num_words":0,"has_unicode_error":false,"m... |
http://www.stats.bris.ac.uk/R/web/packages/datarobot/vignettes/VariableImportance.html | [
"# Assessing Variable Importance for Predictive Models of Arbitrary Type\n\n#### 2022-05-05\n\nLinear regression provides the historical and conceptual basis for much of the practical art of predictive modeling. Key advantages of linear regression models are that they are both easy to fit to data and easy to interp... | [
null,
"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAqAAAAJACAYAAABSeNRHAAAEDmlDQ1BrQ0dDb2xvclNwYWNlR2VuZXJpY1JHQgAAOI2NVV1oHFUUPpu5syskzoPUpqaSDv41lLRsUtGE2uj+ZbNt3CyTbLRBkMns3Z1pJjPj/KRpKT4UQRDBqOCT4P9bwSchaqvtiy2itFCiBIMo+ND6R6HSFwnruTOzu5O4a73L3PnmnO9+595z7t4LkLgsW5beJQIsGq4t5dPis8fmxMQ6dMF90A190C0rjpUqlSYBG... | {"ft_lang_label":"__label__en","ft_lang_prob":0.84683245,"math_prob":0.9814238,"size":19559,"snap":"2023-14-2023-23","text_gpt3_token_len":4338,"char_repetition_ratio":0.13474815,"word_repetition_ratio":0.016742239,"special_character_ratio":0.2225574,"punctuation_ratio":0.11168125,"nsfw_num_words":0,"has_unicode_error"... |
https://app.datacamp.com/workspace/w/b084fad8-b958-46d6-bb3a-d03801ad7a65/edit | [
"this is the nav!\nWorkspace\nEduardo Bastos de Moraes/\n\n# User Retention by Cohort\n\n0\nBeta\n\n## .mfe-app-workspace-kj242g{position:absolute;top:-8px;}.mfe-app-workspace-11ezf91{display:inline-block;}.mfe-app-workspace-11ezf91:hover .Anchor__copyLink{visibility:visible;}User Retention by Cohort\n\nThis templa... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.5138759,"math_prob":0.851399,"size":3256,"snap":"2023-40-2023-50","text_gpt3_token_len":830,"char_repetition_ratio":0.1608241,"word_repetition_ratio":0.046753246,"special_character_ratio":0.2708845,"punctuation_ratio":0.17333333,"nsfw_num_words":0,"has_unicode_error":fals... |
https://gis.stackexchange.com/questions/19221/find-tangent-point-on-circle-furthest-east-or-west | [
"# Find tangent point on circle furthest east or west\n\nThere are few ways of articulating my question. It starts with a known circle on a sphere, i.e. a point-radius, and one that does not cover a pole. I would like to calculate the point furthest west on this circle and the point furthest east. These points are ... | [
null,
"https://i.stack.imgur.com/xv9Qo.gif",
null,
"https://i.stack.imgur.com/qbZDl.png",
null,
"https://i.stack.imgur.com/70Q4g.png",
null,
"https://i.stack.imgur.com/rQzlv.png",
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.9059952,"math_prob":0.9681574,"size":3242,"snap":"2023-40-2023-50","text_gpt3_token_len":769,"char_repetition_ratio":0.12662137,"word_repetition_ratio":0.0,"special_character_ratio":0.24305984,"punctuation_ratio":0.10248447,"nsfw_num_words":0,"has_unicode_error":false,"ma... |
https://schoolwebpages.com/5525ew/algebraic-functions-examples-with-solutions-e8281e | [
"We want to find the inverse of g(y), which is . This quiz and worksheet will assess your understanding of algebraic functions. Thus, the range of h is all real numbers except 0. For example, given a graph of one quadratic function and an algebraic expression for another, say which has the larger maximum. When we i... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.89659417,"math_prob":0.99727404,"size":30079,"snap":"2021-04-2021-17","text_gpt3_token_len":6818,"char_repetition_ratio":0.19617623,"word_repetition_ratio":0.12548728,"special_character_ratio":0.23567937,"punctuation_ratio":0.12806901,"nsfw_num_words":1,"has_unicode_error... |
http://familypravo.ru/read/bayesian-statistics-a-review-6-th-edition | [
"# Bayesian statistics, a review by D V Lindley",
null,
"By D V Lindley\n\nSimilar probability & statistics books\n\nSimulation and the Monte Carlo Method (Wiley Series in Probability and Statistics)\n\nThis ebook offers the 1st simultaneous insurance of the statistical points of simulation and Monte Carlo tool... | [
null,
"https://images-na.ssl-images-amazon.com/images/I/31WOqk63jSL._SX338_BO1,204,203,200_.jpg",
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.91534305,"math_prob":0.94461596,"size":3291,"snap":"2019-51-2020-05","text_gpt3_token_len":654,"char_repetition_ratio":0.10100395,"word_repetition_ratio":0.0,"special_character_ratio":0.18991189,"punctuation_ratio":0.08650519,"nsfw_num_words":0,"has_unicode_error":false,"... |
https://davidthemathstutor.com.au/2019/01/08/graphs-of-trig-equations/ | [
"# Graphs of Trig Equations, Part 1\n\nHappy New Year and welcome to my first post of 2019!\n\nMy last post introduced the idea of modelling physical things with math equations. To do this from scratch, requires calculus but seeing the final result is very interesting. So in my last post, I modelled the simple phys... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.8894381,"math_prob":0.98577344,"size":2644,"snap":"2020-45-2020-50","text_gpt3_token_len":691,"char_repetition_ratio":0.14583333,"word_repetition_ratio":0.02690583,"special_character_ratio":0.25869894,"punctuation_ratio":0.10611511,"nsfw_num_words":0,"has_unicode_error":f... |
https://digilib.unikom.ac.id/man/php/function.gmp-div-qr.html | [
"Scholar Repository\nHome>Manual>Divide numbers and get quotient and remainder\n\n# gmp_div_qr\n\n(PHP 4 >= 4.0.4, PHP 5)\n\ngmp_div_qrDivide numbers and get quotient and remainder\n\n### Description\n\narray gmp_div_qr ( resource \\$n , resource \\$d [, int \\$round = GMP_ROUND_ZERO ] )\n\nThe function divides n b... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.6898588,"math_prob":0.975999,"size":837,"snap":"2021-04-2021-17","text_gpt3_token_len":238,"char_repetition_ratio":0.12244898,"word_repetition_ratio":0.28368795,"special_character_ratio":0.30107528,"punctuation_ratio":0.13529412,"nsfw_num_words":0,"has_unicode_error":fals... |
http://www.espruino.com/MAX7219 | [
"# MAX7219 7 segment display driver",
null,
"",
null,
"Datasheet\n\nA simple SPI Matrix / 7 segment display driver, which can be controlled with the MAX7219 (About Modules) module.\n\n## Wiring\n\nThis module needs 5 wires: Power, ground, clock (SPI SCK), data (SPI MOSI), and chip select (can be any pin). J... | [
null,
"http://www.espruino.com/refimages/MAX7219_front.jpg",
null,
"http://www.espruino.com/refimages/MAX7219_back.jpg",
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.6018672,"math_prob":0.9472427,"size":4347,"snap":"2022-27-2022-33","text_gpt3_token_len":1236,"char_repetition_ratio":0.11029243,"word_repetition_ratio":0.038406827,"special_character_ratio":0.3146998,"punctuation_ratio":0.19320594,"nsfw_num_words":0,"has_unicode_error":f... |
https://education.launchcode.org/csharp-web-development/chapters/data-types/studio.html | [
"# 2.6. Studio: Area of a Circle¶\n\nTo get started, create a new console application in Visual Studio for the studio.\n\n## 2.6.1. Calculate the Area of a Circle¶\n\nWrite a program that prompts the user for the radius of a circle. Calculate the area of the user’s circle and print the result.\n\nTip\n\nRecall that... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.81438446,"math_prob":0.88169867,"size":1834,"snap":"2022-40-2023-06","text_gpt3_token_len":452,"char_repetition_ratio":0.13333334,"word_repetition_ratio":0.0,"special_character_ratio":0.23773174,"punctuation_ratio":0.12224939,"nsfw_num_words":0,"has_unicode_error":false,"... |
https://frivforschools.com/friv-10000/play-free/0-subtraction-balance-equations-game.html | [
"# Subtraction Balance Equations Game",
null,
"Game description",
null,
"## Friv Subtraction Balance Equations Game\n\nFriv Subtraction Balance Equations Game is now available to play at Friv for School Game. This is an educational game based on math. In this math game, the player needs to solve the subtrac... | [
null,
"https://frivforschools.com/wp-content/themes/MyFriv/myfriv/images/loading.gif",
null,
"https://frivforschools.com/wp-content/themes/MyFriv/myfriv/timthumb.php",
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.9397853,"math_prob":0.9459894,"size":630,"snap":"2021-43-2021-49","text_gpt3_token_len":131,"char_repetition_ratio":0.14057508,"word_repetition_ratio":0.0,"special_character_ratio":0.1920635,"punctuation_ratio":0.10655738,"nsfw_num_words":0,"has_unicode_error":false,"math... |
https://puzzle.makingyougreat.com/2016/02/crack-if-you-can-10-20-74-100-202.html | [
"Crack if you can. 10, 20, 74, 100, 202, ? - Puzzles Answers\n\n# Crack if you can. 10, 20, 74, 100, 202, ?",
null,
"Crack if you can ?......!\n\n10, 20, 74, 100, 202, ?\n\nWhat number will come next in the series and replace the Question Mark ?\n\nShare with others and see if they can find the answer soon !\n\... | [
null,
"https://2.bp.blogspot.com/-oN6WuEm11Z8/UxBnEvrgVII/AAAAAAAAC1o/t8GCn3kuOls/s1600/advertisement.png",
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.7330985,"math_prob":0.99763674,"size":980,"snap":"2022-27-2022-33","text_gpt3_token_len":357,"char_repetition_ratio":0.12807377,"word_repetition_ratio":0.6944444,"special_character_ratio":0.49387756,"punctuation_ratio":0.19924812,"nsfw_num_words":0,"has_unicode_error":fal... |
https://stat.ethz.ch/pipermail/r-sig-finance/2012q4/010865.html | [
"# [R-SIG-Finance] Accounting in blotter query\n\nWorik Stanton worik.stanton at gmail.com\nFri Oct 5 02:39:06 CEST 2012\n\n```I am not sure I quite understand how blotter keeps its running totals.\n\nUsing the attached code I simulate some trading in IBM. (The trades are\nbasically random)\n\nI have three transac... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.5053769,"math_prob":0.9389774,"size":3228,"snap":"2019-51-2020-05","text_gpt3_token_len":1097,"char_repetition_ratio":0.13461539,"word_repetition_ratio":0.009478673,"special_character_ratio":0.37081784,"punctuation_ratio":0.19136691,"nsfw_num_words":0,"has_unicode_error":... |
https://members.kidpid.com/ask/topic/arithemetic-sequence-question/ | [
"community around the world.\n\nActivity Discussion Math Arithemetic sequence question\n\n• # Arithemetic sequence question\n\nPosted by on June 3, 2023 at 5:33 pm\n\nHere’s an arithmetic sequence question for you:\n\nThe first term of an arithmetic sequence is 10, and the common difference is 4. Find the 12th term... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.9234388,"math_prob":0.9896085,"size":304,"snap":"2023-40-2023-50","text_gpt3_token_len":70,"char_repetition_ratio":0.17666666,"word_repetition_ratio":0.0,"special_character_ratio":0.22039473,"punctuation_ratio":0.10169491,"nsfw_num_words":0,"has_unicode_error":false,"math... |
https://petr-mitrichev.blogspot.com/2016/01/ | [
"## Tuesday, January 26, 2016\n\n### A prime week\n\nThe second week of 2016 was very calm, with the main anchor being the SnarkNews New Year Prime Contest (problems requiring Yandex login, results, top 5 on the left), containing the problems that were previously given in 2015 but were not solved by anybody then. X... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.9160185,"math_prob":0.8969313,"size":6640,"snap":"2021-21-2021-25","text_gpt3_token_len":1538,"char_repetition_ratio":0.15235081,"word_repetition_ratio":0.9554339,"special_character_ratio":0.25873494,"punctuation_ratio":0.17181209,"nsfw_num_words":0,"has_unicode_error":fa... |
https://dev.to/seanpgallivan/solution-short-encoding-of-words-ver-2-423i | [
"## DEV Community is a community of 852,088 amazing developers\n\nWe're a place where coders share, stay up-to-date and grow their careers.",
null,
"# Solution: Short Encoding of Words (ver. 2)\n\nThis is part of a series of Leetcode solution explanations (index). If you liked this solution or found it useful, ... | [
null,
"https://res.cloudinary.com/practicaldev/image/fetch/s--2f9g3iL4--/c_imagga_scale,f_auto,fl_progressive,h_420,q_auto,w_1000/https://dev-to-uploads.s3.amazonaws.com/uploads/articles/e0rfku9z1o4hy2s608xu.png",
null,
"https://res.cloudinary.com/practicaldev/image/fetch/s--IqrE05nr--/c_limit%2Cf_auto%2Cfl_p... | {"ft_lang_label":"__label__en","ft_lang_prob":0.81004477,"math_prob":0.9489069,"size":7103,"snap":"2022-05-2022-21","text_gpt3_token_len":1794,"char_repetition_ratio":0.11269193,"word_repetition_ratio":0.07255521,"special_character_ratio":0.27664366,"punctuation_ratio":0.13559322,"nsfw_num_words":0,"has_unicode_error":... |
https://eccc.weizmann.ac.il/keyword/13928/ | [
"",
null,
"",
null,
"Under the auspices of the Computational Complexity Foundation (CCF)",
null,
"",
null,
"",
null,
"",
null,
"",
null,
"REPORTS > KEYWORD > RAMSEY THEORY:\nReports tagged with Ramsey theory:\nTR95-013 | 24th February 1995\nOleg Verbitsky\n\nThe Parallel Repetition Conje... | [
null,
"https://eccc.weizmann.ac.il/resources/gf/logoNew.png",
null,
"https://eccc.weizmann.ac.il/resources/gf/subtitle.png",
null,
"https://eccc.weizmann.ac.il/resources/txt2img/6477d27f5652481c8709ce20804beef47000ddfacb628eb8f3e1424aa319da92d9706a1b9969c3beea6d0d0579f8c3574dfe71145b9a63e0f4cc7e59723f9d59... | {"ft_lang_label":"__label__en","ft_lang_prob":0.8427564,"math_prob":0.99229646,"size":1110,"snap":"2019-43-2019-47","text_gpt3_token_len":336,"char_repetition_ratio":0.111211576,"word_repetition_ratio":0.012269938,"special_character_ratio":0.30900902,"punctuation_ratio":0.16883117,"nsfw_num_words":0,"has_unicode_error"... |
https://android-zone.ws/topic/117161-unit-converter-v2121-premium/ | [
"Jump to content\nANDROID ZONE\n• Sign Up\n\n#### Archived\n\nThis topic is now archived and is closed to further replies.\n\n## Recommended Posts\n\nUnit Converter v2.1.21 [Premium]\nRequirements: 2.3+\nOverview: Unit Converter is a simple, smart and elegant tool with more than 30 categories of units that are used... | [
null,
"https://android-zone.ws/applications/core/interface/js/spacer.png",
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.77978235,"math_prob":0.9563353,"size":41460,"snap":"2019-13-2019-22","text_gpt3_token_len":10029,"char_repetition_ratio":0.16077287,"word_repetition_ratio":0.34366667,"special_character_ratio":0.23352629,"punctuation_ratio":0.18309115,"nsfw_num_words":3,"has_unicode_error... |
https://cythilya.github.io/2017/02/27/currying-in-javascript/ | [
"# Currying in JavaScript（柯里化）\n\nCurrying（柯里化），又稱為 parital application 或 partial evaluation，是個「將一個接受 n 個參數的 function，轉變成 n 個只接受一個參數的 function」的過程。\n\n• 簡化參數的處理，基本上是一次處理一個參數，藉以提高程式的彈性和可讀性\n• 將程式碼依功能拆解成更細的片段，有助於重複利用\n\n## 說明\n\n``````function multiply(x, y){\nreturn x * y;\n}\n\nmultiply(3, 5); // 15\n``````\n\n````... | [
null
] | {"ft_lang_label":"__label__zh","ft_lang_prob":0.5098384,"math_prob":0.9769562,"size":2973,"snap":"2019-51-2020-05","text_gpt3_token_len":1609,"char_repetition_ratio":0.14280903,"word_repetition_ratio":0.2080537,"special_character_ratio":0.25832492,"punctuation_ratio":0.18816067,"nsfw_num_words":0,"has_unicode_error":fa... |
https://lethbridgecollege.ca/course/engineering-math-ii | [
"MTH-1170 Engineering Math II - 3.00 credits\n\nA study of calculus which covers both differentiation and integration. Topics include a review of limits, an intro into complex numbers, the definition of derivative, differentiation rules, derivative applications, and integration as area, the fundamental theorem of c... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.8973059,"math_prob":0.9475901,"size":737,"snap":"2020-10-2020-16","text_gpt3_token_len":139,"char_repetition_ratio":0.12960437,"word_repetition_ratio":0.0,"special_character_ratio":0.19131614,"punctuation_ratio":0.184,"nsfw_num_words":0,"has_unicode_error":false,"math_pro... |
https://stat.ethz.ch/CRAN/web/packages/ICtest/vignettes/PCA.html | [
"## Principal component analysis\n\nIn an elliptical model often principal component analysis (PCA) is used as a linear dimension reduction tool and it is assumed that the components with large variation are interesting and the directions with small and equal variation are the uninteresting ones. Note that those co... | [
null,
"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAABUAAAAPACAMAAADDuCPrAAAA21BMVEUAAAAAADoAAGYAOjoAOmYAOpAAZrY6AAA6ADo6AGY6OgA6Ojo6OmY6ZmY6ZpA6ZrY6kJA6kLY6kNtmAABmOgBmOjpmZjpmZmZmZpBmkJBmkLZmtttmtv+QOgCQOjqQZgCQZjqQZmaQkGaQkLaQtpCQtraQttuQtv+Q2/+2ZgC2Zjq2kDq2kGa2kJC2tpC2tra2ttu2tv+229u22/+2/9u2///bkDrbkGbbtmbbt... | {"ft_lang_label":"__label__en","ft_lang_prob":0.79656476,"math_prob":0.99974734,"size":4739,"snap":"2023-14-2023-23","text_gpt3_token_len":1330,"char_repetition_ratio":0.11657867,"word_repetition_ratio":0.10709678,"special_character_ratio":0.2914117,"punctuation_ratio":0.11297539,"nsfw_num_words":0,"has_unicode_error":... |
http://classic.chem.msu.su/cgi-bin/ceilidh.exe/gran/gamess/forum/?C3d2d5e75bcsK-8577-846+00.htm | [
"",
null,
"## Firefly and PC GAMESS-related discussion club\n\nLearn how to ask questions correctly",
null,
"",
null,
"'Abnormal Energy' obtained in MP4 single point energy calculation\nHello everyone!\n\nI am currently running an MP4 single point energy calculation (basis set: 6-311++G**) on a few hydr... | [
null,
"http://www.lilikoi.com/cgi-bin/banner/2.70er11290",
null,
"http://classic.chem.msu.su/gran/gamess/images/We are NATO-free zone.png",
null,
"http://classic.chem.msu.su/gran/gamess/images/line_line2.gif",
null,
"http://classic.chem.msu.su/ceilidh-icons/ceil_app.gif",
null,
"http://classic.che... | {"ft_lang_label":"__label__en","ft_lang_prob":0.8558798,"math_prob":0.83345467,"size":1664,"snap":"2021-31-2021-39","text_gpt3_token_len":524,"char_repetition_ratio":0.11626506,"word_repetition_ratio":0.0,"special_character_ratio":0.37079328,"punctuation_ratio":0.17597765,"nsfw_num_words":0,"has_unicode_error":false,"m... |
http://jivonice.com/aglt/36zl.php?kmsj=5&pgjkpzj=176&wp134=k-nearest-neighbor-prediction-matlab | [
"",
null,
"",
null,
"K nearest neighbor prediction matlab\n\nK nearest neighbor prediction matlab\n\nThe k-NN is a most simple approach. we want to use KNN based on the discussion on Part 1, to identify the number K (K nearest Neighbour), we should calculate the square root of observation. The KNN algorithm... | [
null,
"http://jivonice.com/img/en/",
null,
"http://jivonice.com/img/en/",
null,
"https://www.epilepsysociety.org.uk/sites/default/files/Brain%20image_0.jpg",
null,
"https://voxlink.ru/wp-content/uploads/2018/12/1546008522_feature_image.png",
null,
"https://www.spacelawyer.co/wp-content/uploads/201... | {"ft_lang_label":"__label__en","ft_lang_prob":0.89863795,"math_prob":0.91922367,"size":39057,"snap":"2019-26-2019-30","text_gpt3_token_len":8320,"char_repetition_ratio":0.21104653,"word_repetition_ratio":0.08855786,"special_character_ratio":0.19850475,"punctuation_ratio":0.09485325,"nsfw_num_words":1,"has_unicode_error... |
http://mimosite.com/blog/post/2013/05/13/Billiard-simulation-part-3-collision-between-two-balls | [
"## Billiard simulation–part 3: collision between two balls\n\nMay 13, 2013 at 1:27 PM\n\n..or more formally: elastic collision of spheres in two dimensions.\n\nLet’s start with a simple case: ball 1 moving with velocity $$(\\bar v_1, \\bar w_2)$$ hitting ball 2 at rest. To make things even easier ball 1 and ball 2... | [
null,
"http://mimosite.com/blog/image.axd",
null,
"http://mimosite.com/blog/image.axd",
null,
"http://mimosite.com/blog/pics/ajax-loader.gif",
null,
"http://mimosite.com/blog/pics/flags/us.png",
null,
"http://mimosite.com/blog/pics/ajax-loader.gif",
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.7421104,"math_prob":0.9999347,"size":4806,"snap":"2020-24-2020-29","text_gpt3_token_len":1591,"char_repetition_ratio":0.1461891,"word_repetition_ratio":0.01345895,"special_character_ratio":0.3514357,"punctuation_ratio":0.102754235,"nsfw_num_words":0,"has_unicode_error":fa... |
https://present5.com/queuing-theory-jackson-networks-network-model-consider/ | [
"",
null,
"Скачать презентацию Queuing Theory Jackson Networks Network Model Consider\n\nb25694d92a4bdc7185ac7b42db5e4f2e.ppt\n\n• Количество слайдов: 24",
null,
"Queuing Theory Jackson Networks",
null,
"Network Model Consider a simple 3 stage model where the output of 2 queues becomes the input process... | [
null,
"https://present5.com/wp-content/plugins/kama-clic-counter/icons/ppt.jpg",
null,
"https://present5.com/presentation/b25694d92a4bdc7185ac7b42db5e4f2e/image-1.jpg",
null,
"https://present5.com/presentation/b25694d92a4bdc7185ac7b42db5e4f2e/image-2.jpg",
null,
"https://present5.com/presentation/b256... | {"ft_lang_label":"__label__en","ft_lang_prob":0.8387583,"math_prob":0.9895286,"size":4255,"snap":"2022-40-2023-06","text_gpt3_token_len":1178,"char_repetition_ratio":0.1771348,"word_repetition_ratio":0.2808858,"special_character_ratio":0.29565218,"punctuation_ratio":0.07236842,"nsfw_num_words":0,"has_unicode_error":fal... |
https://www.physics.columbia.edu/events/applied-mathematics-colloquium-3 | [
"# Events\n\nPast Event\n\n## Applied Mathematics Colloquium\n\nMarch 10, 2020\n2:45 PM - 3:45 PM\nAmerica/New_York\nMudd Hall, 500 W. 120 St., New York, NY 10027 214\nSpeaker: Barak Sober Phillip Griffiths Assistant Research Professor, Math Department, Duke University Title: The Manifold Moving Least-Squares (Mani... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.88890344,"math_prob":0.7889172,"size":1685,"snap":"2023-14-2023-23","text_gpt3_token_len":336,"char_repetition_ratio":0.11481261,"word_repetition_ratio":0.0,"special_character_ratio":0.17982195,"punctuation_ratio":0.14334472,"nsfw_num_words":0,"has_unicode_error":false,"m... |
https://gradegorilla.com/microIB/2forces/M_forces.php | [
"",
null,
"µ IB | Forces\n\n10 quick questions\n\n10 minutes maximum! (can you do it in 5?)\n\n1. When drawing an arrow to show the size of the force of gravity on a falling meteor, which of these images shows the correct placement for the arrow?",
null,
"2. The force of gravity as shown by the arrow in Q1 ... | [
null,
"https://gradegorilla.com/imagesGP/newlogo_square.png",
null,
"https://gradegorilla.com/microIB/2forces/asteroids_x4_microIB.gif",
null,
"https://gradegorilla.com/microIB/2forces/force-of-gravity_microIB.gif",
null,
"https://gradegorilla.com/microIB/2forces/block_on_slope_x4_microIB.gif",
null... | {"ft_lang_label":"__label__en","ft_lang_prob":0.93217474,"math_prob":0.9771243,"size":1498,"snap":"2020-10-2020-16","text_gpt3_token_len":360,"char_repetition_ratio":0.13253012,"word_repetition_ratio":0.0,"special_character_ratio":0.26168224,"punctuation_ratio":0.12951808,"nsfw_num_words":0,"has_unicode_error":false,"m... |
https://mathinfocusanswerkey.com/math-in-focus-grade-7-chapter-7-lesson-7-3-answer-key/ | [
"# Math in Focus Grade 7 Chapter 7 Lesson 7.3 Answer Key Constructing Triangles\n\nPractice the problems of Math in Focus Grade 7 Workbook Answer Key Chapter 7 Lesson 7.3 Constructing Triangles to score better marks in the exam.\n\n## Math in Focus Grade 7 Course 2 B Chapter 7 Lesson 7.3 Answer Key Constructing Tri... | [
null,
"https://mathinfocusanswerkey.com/wp-content/uploads/2022/01/Math-in-Focus-Grade-7-Chapter-6-Lesson-7.4-Answer-Key-Constructing-Quadrilaterals-A.png",
null,
"https://mathinfocusanswerkey.com/wp-content/uploads/2022/01/Math-in-Focus-Grade-7-Chapter-6-Lesson-7.4-Answer-Key-Constructing-Quadrilaterals-B.pn... | {"ft_lang_label":"__label__en","ft_lang_prob":0.83169335,"math_prob":0.998677,"size":6914,"snap":"2023-40-2023-50","text_gpt3_token_len":2207,"char_repetition_ratio":0.2374819,"word_repetition_ratio":0.30014858,"special_character_ratio":0.31559154,"punctuation_ratio":0.18600368,"nsfw_num_words":0,"has_unicode_error":fa... |
https://engineeringtutorial.com/transistor-load-line-analysis/ | [
"In the transistor circuit analysis, it is generally required to determine the collector current for various collector-emitter voltages. One of the methods can be used to plot the output characteristics and determine the collector current at any desired collector-emitter voltage. However, a more convenient method, ... | [
null,
"https://engineeringtutorial.com/wp-content/uploads/2016/08/engineeringtutorial.com_transistor-load-line-analysis.png",
null,
"https://engineeringtutorial.com/wp-content/uploads/2016/08/engineeringtutorial.com_transistor-load-line.png",
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.87878984,"math_prob":0.99047965,"size":3150,"snap":"2021-31-2021-39","text_gpt3_token_len":711,"char_repetition_ratio":0.15924984,"word_repetition_ratio":0.030520646,"special_character_ratio":0.22095238,"punctuation_ratio":0.109836064,"nsfw_num_words":0,"has_unicode_error... |
https://electronics.stackexchange.com/questions/382086/why-does-line-current-equals-the-total-apparent-power-divided-by-3-times-the-pha | [
"# Why does line current equals the total apparent power divided by 3 times the phase voltage?\n\nIn this circuit with frequency of 50hz and line to line voltage of 400 V why is the current $I_A = S_t/3V_P$ I don't understand the logic behind since there is one Delta connection, I understand why that formula works ... | [
null,
"https://i.stack.imgur.com/GMSy8.png",
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.9017141,"math_prob":0.9974041,"size":1121,"snap":"2019-35-2019-39","text_gpt3_token_len":312,"char_repetition_ratio":0.12444047,"word_repetition_ratio":0.0,"special_character_ratio":0.30240858,"punctuation_ratio":0.069767445,"nsfw_num_words":0,"has_unicode_error":false,"m... |
https://www.codecogs.com/library/computing/stl/algorithms/sorting/nth_element.php | [
"I have forgotten\n\n•",
null,
"http://facebook.com/\n•",
null,
"https://www.google.com/accounts/o8/id\n•",
null,
"https://me.yahoo.com\n\n# nth_element\n\nSorts according to the nth position",
null,
"View version details\n\n### Key Facts\n\nGyroscopic Couple: The rate of change of angular momentum ... | [
null,
"https://www.codecogs.com/images/openID/facebookW.png",
null,
"https://www.codecogs.com/images/openID/googleW.png",
null,
"https://www.codecogs.com/images/openID/yahooW.png",
null,
"https://www.codecogs.com/images/spacer.gif",
null,
"https://www.codecogs.com/cache/eqns/cc5f12f6b5e7ed54cbd7b5... | {"ft_lang_label":"__label__en","ft_lang_prob":0.6575124,"math_prob":0.88407147,"size":3443,"snap":"2020-34-2020-40","text_gpt3_token_len":870,"char_repetition_ratio":0.13928467,"word_repetition_ratio":0.2284069,"special_character_ratio":0.26604706,"punctuation_ratio":0.1494607,"nsfw_num_words":0,"has_unicode_error":fal... |
https://cs.stackexchange.com/questions/7193/hardness-of-finding-a-true-or-a-false-assignment-into-a-generic-boolean-formula?noredirect=1 | [
"# Hardness of finding a true or a false assignment into a generic boolean formula?\n\nI read some research that analyzes the hardness of SAT solving in the average case. In fact, for a 3CNF formula if you compute the ratio of clause to variables there is an interval (more or less between 4 and 5) in which solving ... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.9643934,"math_prob":0.9809607,"size":503,"snap":"2021-21-2021-25","text_gpt3_token_len":113,"char_repetition_ratio":0.10220441,"word_repetition_ratio":0.0,"special_character_ratio":0.21272366,"punctuation_ratio":0.071428575,"nsfw_num_words":0,"has_unicode_error":false,"ma... |
https://www.rdocumentation.org/packages/caret/versions/6.0-80/topics/plot.gafs | [
"# plot.gafs\n\n0th\n\nPercentile\n\n##### Plot Method for the gafs and safs Classes\n\nPlot the performance values versus search iteration\n\nKeywords\nhplot\n##### Usage\n# S3 method for gafs\nplot(x, metric = x$control$metric[\"external\"],\nestimate = c(\"internal\", \"external\"), output = \"ggplot\", ...)\n##... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.51753336,"math_prob":0.95149064,"size":1132,"snap":"2019-26-2019-30","text_gpt3_token_len":308,"char_repetition_ratio":0.1108156,"word_repetition_ratio":0.046242774,"special_character_ratio":0.28710246,"punctuation_ratio":0.14673913,"nsfw_num_words":0,"has_unicode_error":... |
http://knowledgemust.info/which-of-the-following-is-true-about-glass-recycling/ | [
"# Which Of The Following Is True About Glass Recycling",
null,
"which of the following is true about glass recycling below are interesting facts about recycling is true about glass recycling.",
null,
"which of the following is true about glass recycling short grey line plastic in recycling bins which of th... | [
null,
"http://knowledgemust.info/wp-content/uploads/2018/11/which-of-the-following-is-true-about-glass-recycling-below-are-interesting-facts-about-recycling-is-true-about-glass-recycling.jpg",
null,
"http://knowledgemust.info/wp-content/uploads/2018/11/which-of-the-following-is-true-about-glass-recycling-shor... | {"ft_lang_label":"__label__en","ft_lang_prob":0.96312904,"math_prob":0.7976982,"size":3144,"snap":"2020-10-2020-16","text_gpt3_token_len":557,"char_repetition_ratio":0.37070063,"word_repetition_ratio":0.6602687,"special_character_ratio":0.17366412,"punctuation_ratio":0.040219378,"nsfw_num_words":0,"has_unicode_error":f... |
https://www.jvejournals.com/article/15498 | [
"",
null,
"Multi-objective optimization for dynamic response of the car frame system\n\nYa-hui Wang1\n\n1North China University of Water Resources and Electric Power, Zhengzhou 450011, China\n\n1Corresponding author\n\nJournal of Vibroengineering, Vol. 17, Issue 2, 2015, p. 859-869.\nReceived 6 September 2014; ... | [
null,
"https://www.facebook.com/tr",
null,
"https://www.jvejournals.com/article/15498/fig1",
null,
"https://www.jvejournals.com/article/15498/fig2",
null,
"https://www.jvejournals.com/article/15498/fig3",
null,
"https://www.jvejournals.com/article/15498/fig4",
null,
"https://www.jvejournals.co... | {"ft_lang_label":"__label__en","ft_lang_prob":0.92267436,"math_prob":0.9867857,"size":22599,"snap":"2019-26-2019-30","text_gpt3_token_len":4725,"char_repetition_ratio":0.19256473,"word_repetition_ratio":0.13050707,"special_character_ratio":0.21239878,"punctuation_ratio":0.13010265,"nsfw_num_words":2,"has_unicode_error"... |
https://gamedev.stackexchange.com/questions/97993/detecting-on-which-side-did-the-objects-collided-unity-2d | [
"# Detecting on which side did the objects collided unity 2d\n\nI have a ball and a rectangle in my game.",
null,
"The rectangle has a box collider 2d attached to it. How can I calculate or check when the ball hits the top of my collider, when it hits the bottom, left and right, so basically any side of the col... | [
null,
"https://i.stack.imgur.com/y6BEw.png",
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.960385,"math_prob":0.6819074,"size":422,"snap":"2020-45-2020-50","text_gpt3_token_len":94,"char_repetition_ratio":0.12440191,"word_repetition_ratio":0.0,"special_character_ratio":0.21800947,"punctuation_ratio":0.08695652,"nsfw_num_words":0,"has_unicode_error":false,"math_... |
https://www.toolsou.com/en/article/220745390 | [
"<> use java Realize bubbling , insert , Select equal sort\n\n<> Bubble sort ( optimization )\n\n<>1. thought\n\nTraverse from subscript zero , Two adjacent numbers are compared with each other , Sink the maximum number to the bottom .\n\n<>2. code\npublic void bubble(int[] a){ for (int i = 0; i < a.length - 1; i++... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.55165166,"math_prob":0.9924918,"size":8064,"snap":"2022-27-2022-33","text_gpt3_token_len":2391,"char_repetition_ratio":0.12506203,"word_repetition_ratio":0.11753731,"special_character_ratio":0.35813493,"punctuation_ratio":0.16037187,"nsfw_num_words":0,"has_unicode_error":... |
https://www.hse.gov.uk/MSD/mac/vmac/7-summary-tables.htm | [
"",
null,
"# Values in the summary table and what they mean\n\nIndividual weights\nThe number of lifts performed in 1 kg steps.\nThe colour band of this load tells you how severe the heaviest lifting task is.\nThe 25th and 75th percentile loads tell you something about how spread out are the loads that are bein... | [
null,
"https://www.hse.gov.uk/assets/v4-images/website/print/print-logo.jpg",
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.93902934,"math_prob":0.94980884,"size":2902,"snap":"2022-40-2023-06","text_gpt3_token_len":633,"char_repetition_ratio":0.16390614,"word_repetition_ratio":0.22794117,"special_character_ratio":0.22122674,"punctuation_ratio":0.061946902,"nsfw_num_words":0,"has_unicode_error"... |
https://gratefulsaver.savingadvice.com/2019/12/18/getting-there_219392/ | [
"User Real IP - 44.192.22.242\n```Array\n(\n => Array\n(\n => 182.68.68.92\n)\n\n => Array\n(\n => 101.0.41.201\n)\n\n => Array\n(\n => 43.225.98.123\n)\n\n => Array\n(\n => 2.58.194.139\n)\n\n => Array\n(\n => 46.119.197.104\n)\n\n => Array\n(\n => 45.249.8.93\n)\n\n => Array\n(\n => 103.12.135.72\n)\n\n => Array\... | [
null,
"https://www.savingadvice.com/blogs/images/search/top_left.php",
null,
"https://www.savingadvice.com/blogs/images/search/top_right.php",
null,
"https://www.savingadvice.com/blogs/images/search/bottom_left.php",
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.95277053,"math_prob":0.9994429,"size":435,"snap":"2021-31-2021-39","text_gpt3_token_len":124,"char_repetition_ratio":0.11600928,"word_repetition_ratio":0.0,"special_character_ratio":0.33103448,"punctuation_ratio":0.15151516,"nsfw_num_words":0,"has_unicode_error":false,"ma... |
https://www.rdocumentation.org/packages/spatstat/versions/1.23-5/topics/kppm | [
"# kppm\n\n0th\n\nPercentile\n\n##### Fit Cluster or Cox Point Process Model\n\nFit a homogeneous or inhomogeneous cluster process or Cox point process model to a point pattern.\n\nKeywords\nmodels, spatial\n##### Usage\nkppm(X, trend = ~1, clusters = \"Thomas\", covariates = NULL, ...,\nstatistic=\"K\", statargs=l... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.65318406,"math_prob":0.9457386,"size":3507,"snap":"2020-10-2020-16","text_gpt3_token_len":923,"char_repetition_ratio":0.13816729,"word_repetition_ratio":0.04255319,"special_character_ratio":0.22783005,"punctuation_ratio":0.17711599,"nsfw_num_words":0,"has_unicode_error":f... |
https://www.groundai.com/project/symmetric-coupling-of-angular-momenta-quadratic-algebras-and-discrete-polynomials/ | [
"Symmetric coupling of angular momenta, quadratic algebras and discrete polynomials J. Phys.: Conf. Ser. (2014), in press.\n\n# Symmetric coupling of angular momenta, quadratic algebras and discrete polynomials\n\n## Abstract\n\nEigenvalues and eigenfunctions of the volume operator, associated with the symmetric c... | [
null,
"https://dp938rsb7d6cr.cloudfront.net/static/1.60/groundai/img/loader_30.gif",
null,
"https://dp938rsb7d6cr.cloudfront.net/static/1.60/groundai/img/comment_icon.svg",
null,
"https://dp938rsb7d6cr.cloudfront.net/static/1.60/groundai/img/about/placeholder.png",
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.9025725,"math_prob":0.92739457,"size":27442,"snap":"2019-13-2019-22","text_gpt3_token_len":6102,"char_repetition_ratio":0.14024346,"word_repetition_ratio":0.01243953,"special_character_ratio":0.21000656,"punctuation_ratio":0.077922076,"nsfw_num_words":0,"has_unicode_error... |
https://forum.allaboutcircuits.com/threads/simplify-the-following-boolean-equations.119356/ | [
"# Simplify the following Boolean equations.\n\n#### audreyeckman\n\nJoined Jan 7, 2016\n8\ni. Simplify the following Boolean equations.\n\nii. Sketch a reasonably simple combinational circuit implementing the simplified equation.\n\niii. Compare the numbers of literals and operators versus the numbers of gates, net... | [
null,
"data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7",
null,
"https://forum.allaboutcircuits.com/data/attachments/86/86018-78324f916fffc17ef81636b389442796.jpg",
null,
"data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7",
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.61208826,"math_prob":0.9929697,"size":1463,"snap":"2022-27-2022-33","text_gpt3_token_len":579,"char_repetition_ratio":0.24605894,"word_repetition_ratio":0.9300699,"special_character_ratio":0.380041,"punctuation_ratio":0.08882522,"nsfw_num_words":0,"has_unicode_error":fals... |
https://byjus.com/question-answer/a-truck-travelled-the-first-one-third-of-the-distance-d-at-a-speed-of-8/ | [
"",
null,
"",
null,
"Question\n\n# A truck travelled the first one-third of the distance d at a speed of 10 kmh−1, the second one-third of the distance at a speed of 12 kmh−1 and the last one-third of the distance at a speed of 20 kmh−1. The average speed of the truck is approximately equal to (in kmh−1)101... | [
null,
"data:image/svg+xml;base64,PHN2ZyB3aWR0aD0iNDQiIGhlaWdodD0iNDQiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgdmVyc2lvbj0iMS4xIi8+",
null,
"data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7",
null,
"data:image/svg+xml;base64,PHN2ZyB3aWR0aD0iMzIiIGhlaWdodD0iMzIiIHhtbG5zP... | {"ft_lang_label":"__label__en","ft_lang_prob":0.94346577,"math_prob":0.9906269,"size":290,"snap":"2021-43-2021-49","text_gpt3_token_len":89,"char_repetition_ratio":0.18531469,"word_repetition_ratio":0.14035088,"special_character_ratio":0.32068965,"punctuation_ratio":0.030303031,"nsfw_num_words":0,"has_unicode_error":fa... |
https://www.geeksforgeeks.org/java-program-for-reversal-algorithm-for-array-rotation/ | [
"# Java Program for Reversal algorithm for array rotation\n\nWrite a function rotate(arr[], d, n) that rotates arr[] of size n by d elements.\n\nExample :\n\n```Input : arr[] = [1, 2, 3, 4, 5, 6, 7]\nd = 2\nOutput : arr[] = [3, 4, 5, 6, 7, 1, 2]\n```",
null,
"Rotation of the above array by 2 will make array",
... | [
null,
"https://media.geeksforgeeks.org/wp-content/cdn-uploads/2009/11/Array1.gif",
null,
"https://media.geeksforgeeks.org/wp-content/cdn-uploads/2009/11/ArrayRotation1.gif",
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.61573917,"math_prob":0.9786066,"size":2942,"snap":"2019-51-2020-05","text_gpt3_token_len":931,"char_repetition_ratio":0.17188564,"word_repetition_ratio":0.09581882,"special_character_ratio":0.34126446,"punctuation_ratio":0.19122256,"nsfw_num_words":0,"has_unicode_error":f... |
https://socratic.org/questions/what-is-the-slope-of-the-line-perpendicular-to-y-13-5x-3 | [
"# What is the slope of the line perpendicular to y=13/5x-3 ?\n\nDec 21, 2015\n\n$- \\frac{5}{13}$\n\n#### Explanation:\n\nThe slope of any line perpendicular to a line of slope $m$ is $- \\frac{1}{m}$\n\nIn our example, the equation is in slope intercept form, so the slope is easily read as the coefficient of $x$... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.80480486,"math_prob":0.9998092,"size":464,"snap":"2020-45-2020-50","text_gpt3_token_len":120,"char_repetition_ratio":0.15869565,"word_repetition_ratio":0.050632913,"special_character_ratio":0.2672414,"punctuation_ratio":0.06521739,"nsfw_num_words":0,"has_unicode_error":fa... |
https://www.bartleby.com/questions-and-answers/use-newtons-method-to-find-the-second-and-third-approximation-of-a-root-of-x3x30-starting-with-x11-a/a028cced-5c77-4d3c-819e-4ed851caf04b | [
"# Use Newton's method to find the second and third approximation of a root of x3+x+3=0 starting with x1=−1 as the initial approximation. The second approximation is x2 = The third approximation is x3\n\nQuestion\n\nUse Newton's method to find the second and third approximation of a root of\n\nx3+x+3=0\n\nstart... | [
null,
"https://www.bartleby.com/static/bartleby-logo-tm-tag-inverted.svg",
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.7966281,"math_prob":0.9477483,"size":1581,"snap":"2021-31-2021-39","text_gpt3_token_len":513,"char_repetition_ratio":0.11731135,"word_repetition_ratio":0.0,"special_character_ratio":0.32068312,"punctuation_ratio":0.16795866,"nsfw_num_words":0,"has_unicode_error":false,"ma... |
https://blog.vedicmathsindia.org/square-roots-2/ | [
"SHARE\n\nThis post is, once again, a summary of a longer post authored by me on my own blog. My blog covers a lot of areas, including Vedic Mathematics. If you are interested in reading my thoughts on other topics, please feel free to visit my blog and post comments on the other articles you find there also! Thank... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.9229623,"math_prob":0.9753005,"size":7385,"snap":"2020-45-2020-50","text_gpt3_token_len":1870,"char_repetition_ratio":0.16122477,"word_repetition_ratio":0.063936785,"special_character_ratio":0.28706837,"punctuation_ratio":0.11344805,"nsfw_num_words":0,"has_unicode_error":... |
https://www.slideserve.com/hiero/translating-today-s-benefits-to-the-future | [
"# Translating Today’s Benefits to the Future - PowerPoint PPT Presentation",
null,
"",
null,
"Download Presentation",
null,
"Translating Today’s Benefits to the Future\n\nTranslating Today’s Benefits to the Future\nDownload Presentation",
null,
"## Translating Today’s Benefits to the Future\n\n- - ... | [
null,
"https://www.slideserve.com/photo/31895.jpeg",
null,
"https://www.slideserve.com/img/replay.png",
null,
"https://thumbs.slideserve.com/1_5442149.jpg",
null,
"https://www.slideserve.com/img/output_cBjjdt.gif",
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.9116062,"math_prob":0.9881065,"size":3784,"snap":"2019-51-2020-05","text_gpt3_token_len":1136,"char_repetition_ratio":0.1436508,"word_repetition_ratio":0.11065574,"special_character_ratio":0.3895349,"punctuation_ratio":0.13257575,"nsfw_num_words":0,"has_unicode_error":fal... |
https://bikerpub.pl/03/26/valume-loading-formula-in-ball-mill/ | [
"• ### Ball Mill Loading - Dry Milling - Paul O. Abbe\n\nThe starting point for ball mill media and solids charging generally starts as follows: 50% media charge Assuming 26% void space between spherical balls (non-spherical, irregularly shaped and mixed-size media will increase or decrease the free space) 50% x 26... | [
null,
"https://bikerpub.pl/themes/project47/images/add.jpg",
null,
"https://bikerpub.pl/themes/project47/images/tel.jpg",
null,
"https://bikerpub.pl/themes/project47/images/email.jpg",
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.8535099,"math_prob":0.8967446,"size":7964,"snap":"2021-43-2021-49","text_gpt3_token_len":1900,"char_repetition_ratio":0.1526382,"word_repetition_ratio":0.3245283,"special_character_ratio":0.24058262,"punctuation_ratio":0.10618892,"nsfw_num_words":0,"has_unicode_error":fal... |
https://mathoverflow.net/questions/65424/determinant-of-sum-of-positive-definite-matrices | [
"# Determinant of sum of positive definite matrices\n\nSay $A$ and $B$ are symmetric, positive definite matrices. I've proved that\n\n$$\\det(A+B) \\ge \\det(A) + \\det(B)$$\n\nin the case that $A$ and $B$ are two dimensional. Is this true in general for $n$-dimensional matrices? Is the following even true?\n\n$$\\... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.7778499,"math_prob":0.9998698,"size":1526,"snap":"2022-40-2023-06","text_gpt3_token_len":527,"char_repetition_ratio":0.12746386,"word_repetition_ratio":0.0,"special_character_ratio":0.34796855,"punctuation_ratio":0.09354839,"nsfw_num_words":0,"has_unicode_error":false,"ma... |
https://www.geeksforgeeks.org/introduction-to-simulation-modeling-in-python/?ref=rp | [
"Related Articles\n\n# Introduction to Simulation Modeling in Python\n\n• Last Updated : 03 Mar, 2021\n\nSimulation is imitating the operations which take place within a system to study its behavior. Analyzing and creating the model of a system to predict its performance is called simulation modeling.\n\nSimulation... | [
null,
"https://media.geeksforgeeks.org/wp-content/uploads/20210225233933/Screenshot20210225233837.png",
null,
"https://media.geeksforgeeks.org/wp-content/uploads/20210108223727/Capture.JPG",
null,
"https://media.geeksforgeeks.org/wp-content/uploads/20201214163631/av01.png",
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.8882615,"math_prob":0.9479034,"size":4445,"snap":"2021-31-2021-39","text_gpt3_token_len":863,"char_repetition_ratio":0.122044586,"word_repetition_ratio":0.0,"special_character_ratio":0.19392575,"punctuation_ratio":0.10115237,"nsfw_num_words":0,"has_unicode_error":false,"m... |
http://drhuang.com/chinese/science/mathematics/handbook/E311/E311.htm | [
"§3\n\n1. 基本概念\n\n[导数的定义及其几何意义] 设函数y=f(x)当自变量在点x有一改变量",
null,
",函数y相应地有一改变量",
null,
",那末当",
null,
"趋于零时,若比",
null,
"的极限存在(一确定的有限值)，则称这个极限为函数f(x)在点x的导数,记作",
null,
"图5.1",
null,
"",
null,
"=",
null,
"[单边导数]",
null,
"=",
null,
"",
null,
"",
null,
"=",
null,
"",
nu... | [
null,
"http://drhuang.com/chinese/science/mathematics/handbook/E311/1.files/image002.gif",
null,
"http://drhuang.com/chinese/science/mathematics/handbook/E311/1.files/image004.gif",
null,
"http://drhuang.com/chinese/science/mathematics/handbook/E311/1.files/image005.gif",
null,
"http://drhuang.com/chi... | {"ft_lang_label":"__label__zh","ft_lang_prob":0.7835968,"math_prob":1.0000052,"size":562,"snap":"2019-35-2019-39","text_gpt3_token_len":534,"char_repetition_ratio":0.1469534,"word_repetition_ratio":0.0,"special_character_ratio":0.32206404,"punctuation_ratio":0.192,"nsfw_num_words":0,"has_unicode_error":false,"math_prob... |
https://ask.csdn.net/questions/1025620 | [
"",
null,
"douguaidian8021 2018-08-14 19:55 采纳率: 100%\n\n# 在golang中创建二维字符串数组\n\nI need to create a 2 dimensional string array as shown below -\n\n``````matrix = [['cat,'cat','cat'],['dog','dog']]\n``````\n\nCode:-\n\n``````package main\n\nimport (\n\"fmt\"\n)\n\nfunc main() {\n{ // using append\n\nvar matrix []... | [
null,
"https://profile.csdnimg.cn/1/1/2/4_douguaidian8021",
null,
"https://profile.csdnimg.cn/8/A/0/4_duanjue2560",
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.79740334,"math_prob":0.9256008,"size":1059,"snap":"2023-40-2023-50","text_gpt3_token_len":269,"char_repetition_ratio":0.09478673,"word_repetition_ratio":0.0,"special_character_ratio":0.28989613,"punctuation_ratio":0.15384616,"nsfw_num_words":0,"has_unicode_error":false,"m... |
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