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https://www.equationsworksheets.net/equations-with-x-on-both-sides-worksheet/ | [
"# Equations With X On Both Sides Worksheet\n\nEquations With X On Both Sides Worksheet – The purpose of Expressions and Equations Worksheets is to assist your child in learning more effectively and efficiently. They include interactive activities and problems based on the order of operations. These worksheets make... | [
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"https://www.equationsworksheets.net/wp-content/uploads/2022/03/solving-equations-with-variables-on-both-sides-worksheet.jpg",
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"https://www.equationsworksheets.net/wp-content/uploads... | {"ft_lang_label":"__label__en","ft_lang_prob":0.9571722,"math_prob":0.9628318,"size":3330,"snap":"2023-40-2023-50","text_gpt3_token_len":621,"char_repetition_ratio":0.1903187,"word_repetition_ratio":0.022429906,"special_character_ratio":0.18048048,"punctuation_ratio":0.07457627,"nsfw_num_words":0,"has_unicode_error":fa... |
https://discuss.codecademy.com/t/why-is-the-syntax-different-for-importing-the-random-module/439997 | [
"# Why is the syntax different for importing the random module?\n\nAccording to the datetime exercise to use the datetime module, we would need to specify the object and the module name:\n\n``````from <module_name> import <object_name>\nex: from datetime import datetime\n``````\n\nHowever, for the random module exe... | [
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"https://emoji.discourse-cdn.com/twitter/slight_smile.png",
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] | {"ft_lang_label":"__label__en","ft_lang_prob":0.8054625,"math_prob":0.8793666,"size":1774,"snap":"2022-40-2023-06","text_gpt3_token_len":408,"char_repetition_ratio":0.1740113,"word_repetition_ratio":0.0,"special_character_ratio":0.22604284,"punctuation_ratio":0.11614731,"nsfw_num_words":0,"has_unicode_error":false,"mat... |
https://answers.everydaycalculation.com/simplify-fraction/215-480 | [
"Solutions by everydaycalculation.com\n\n## Reduce 215/480 to lowest terms\n\nThe simplest form of 215/480 is 43/96.\n\n#### Steps to simplifying fractions\n\n1. Find the GCD (or HCF) of numerator and denominator\nGCD of 215 and 480 is 5\n2. Divide both the numerator and denominator by the GCD\n215 ÷ 5/480 ÷ 5\n3. ... | [
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"https://answers.everydaycalculation.com/mathstep-app-icon.png",
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] | {"ft_lang_label":"__label__en","ft_lang_prob":0.6526789,"math_prob":0.73483783,"size":369,"snap":"2021-21-2021-25","text_gpt3_token_len":117,"char_repetition_ratio":0.13972603,"word_repetition_ratio":0.0,"special_character_ratio":0.4417344,"punctuation_ratio":0.08695652,"nsfw_num_words":0,"has_unicode_error":false,"mat... |
https://cobaya.readthedocs.io/en/latest/params_prior.html | [
"# Parameters and priors¶\n\nSynopsis: Class containing the prior and reference pdf, and other parameter information. Jesus Torrado\n\n## Basic parameter specification¶\n\nThe params block contains all the information intrinsic to the parameters of the model: their prior pdf and reference pdf, their latex labels, a... | [
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"https://cobaya.readthedocs.io/en/latest/_images/diagram.svg",
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] | {"ft_lang_label":"__label__en","ft_lang_prob":0.7898545,"math_prob":0.83923775,"size":13419,"snap":"2020-10-2020-16","text_gpt3_token_len":3165,"char_repetition_ratio":0.16220649,"word_repetition_ratio":0.07476212,"special_character_ratio":0.22147702,"punctuation_ratio":0.1521739,"nsfw_num_words":0,"has_unicode_error":... |
https://math.ucr.edu/home/baez/week256.html | [
"## This Week's Finds in Mathematical Physics (Week 28)\n\n#### John Baez\n\nMy European wanderings continue. I'm in Greenwich again, just back from a mind-blowing conference in Vienna, part of a bigger program that's still going on:\n\n1) Poisson sigma models, Lie algebroids, deformations, and higher analogues, Er... | [
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] | {"ft_lang_label":"__label__en","ft_lang_prob":0.89802355,"math_prob":0.8612563,"size":21340,"snap":"2023-14-2023-23","text_gpt3_token_len":5588,"char_repetition_ratio":0.1256093,"word_repetition_ratio":0.08507135,"special_character_ratio":0.24971884,"punctuation_ratio":0.13685958,"nsfw_num_words":0,"has_unicode_error":... |
https://www.sparrho.com/item/on-chordal-dollarkdollar-generalized-split-graphs/ff160d/ | [
"",
null,
"# On Chordal-$k$-Generalized Split Graphs\n\nResearch paper by Andreas Brandstädt, Raffaele Mosca\n\nIndexed on: 25 Feb '17Published on: 25 Feb '17Published in: arXiv - Computer Science - Discrete Mathematics\n\n#### Abstract\n\nA graph $G$ is a {\\em chordal-$k$-generalized split graph} if $G$ is ch... | [
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"https://s3-eu-west-1.amazonaws.com/sparrho-seshat/generated-images/oai:arXiv.org:1702.07914.jpeg",
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] | {"ft_lang_label":"__label__en","ft_lang_prob":0.8905485,"math_prob":0.9790667,"size":605,"snap":"2021-04-2021-17","text_gpt3_token_len":158,"char_repetition_ratio":0.16638935,"word_repetition_ratio":0.0,"special_character_ratio":0.2429752,"punctuation_ratio":0.08490566,"nsfw_num_words":0,"has_unicode_error":false,"math... |
https://www.mdpi.com/1424-8220/18/7/2139/htm | [
"Next Article in Journal\nDevelopment of a Modular Board for EEG Signal Acquisition\nNext Article in Special Issue\nA Miniature Binocular Endoscope with Local Feature Matching and Stereo Matching for 3D Measurement and 3D Reconstruction\nPrevious Article in Journal\nForecasting of Cereal Yields in a Semi-arid Area ... | [
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"https://www.mdpi.com/data/covers/sensors/cover-sensors-v18-i7.png",
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"https://www.mdpi.com/sensors/sensors-18-02139/article_deploy/html/images/sensors-18-02139-g008b.png",
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"https://www.mdpi.com/sensors/sensors-18-02139/article_deploy/html/images/sensors-18-02139-i001.png",
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"htt... | {"ft_lang_label":"__label__en","ft_lang_prob":0.9051938,"math_prob":0.9465241,"size":55037,"snap":"2019-13-2019-22","text_gpt3_token_len":12321,"char_repetition_ratio":0.18790545,"word_repetition_ratio":0.028969107,"special_character_ratio":0.21490997,"punctuation_ratio":0.14023986,"nsfw_num_words":0,"has_unicode_error... |
https://cracku.in/ssc-cpo-15-march-2019-shift-2-question-paper-solved | [
"",
null,
"# SSC CPO 15th-March-2019-Shift-2\n\nInstructions\n\nFor the following questions answer them individually\n\nQuestion 1\n\nThree of the following four number-pairs are alike in a certain way and one is different. Identify the different one.\n\nQuestion 2\n\nThree of the following four words are alike... | [
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"https://www.facebook.com/tr",
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] | {"ft_lang_label":"__label__en","ft_lang_prob":0.95081186,"math_prob":0.70988274,"size":1465,"snap":"2019-43-2019-47","text_gpt3_token_len":340,"char_repetition_ratio":0.120465435,"word_repetition_ratio":0.053639848,"special_character_ratio":0.23686007,"punctuation_ratio":0.1656051,"nsfw_num_words":0,"has_unicode_error"... |
https://www.onworks.net/?service=lang-en-en | [
"# //<![CDATA[ (function(){for(var g=\"function\"==typeof Object.defineProperties?Object.defineProperty:function(b,c,a){if(a.get||a.set)throw new TypeError(\"ES3 does not support getters and setters.\");b!=Array.prototype&&b!=Object.prototype&&(b[c]=a.value)},h=\"undefined\"!=typeof window&&window===this?this:\"und... | [
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"data:image/webp;base64,UklGRq4BAABXRUJQVlA4TKEBAAAvJIAGEL/DKJIkRelf5R69SABDjwhFjSQp5V/l4YsEsKJGkpTyr/LwRQKYUSRJUgg0YAP/jnjCcw+6us7ggOP5XwghRFGIQBRCAHJAAQohggIAAUQAxCoSCiB+iKAIRGCGaCIAExM/QEAeEAOgZQ7xYddWgv+jXFOdanVf62wh3Ne97zbnP7d2Lb2LB8WPBSEEtNu2TTd7x7ad1E5t27ZtBe3/Hw/3veJ7RP8nAMLHramRe+i9SdoYOtepjex+K9C0... | {"ft_lang_label":"__label__en","ft_lang_prob":0.9288818,"math_prob":0.9577848,"size":612,"snap":"2019-51-2020-05","text_gpt3_token_len":133,"char_repetition_ratio":0.13157895,"word_repetition_ratio":0.0,"special_character_ratio":0.19934641,"punctuation_ratio":0.11382114,"nsfw_num_words":0,"has_unicode_error":false,"mat... |
https://socratic.org/questions/how-do-solve-the-following-linear-system-6x-6y-6-5x-y-3 | [
"How do solve the following linear system?: -6x+6y=6 , 5x-y=3 ?\n\nJul 4, 2017\n\nSolve the equations using substitution.\n\n$- 6 x + 6 y = 6$\n\nDivide by 6,\n\n$- x + y = 1$\n\nMaking y the subject of the equation,\n\n$y = 1 + x$ ----Equation 1\n\n$5 x - y = 3$\n\nSubstituting equation 1,\n\n$5 x - \\left(\\text... | [
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] | {"ft_lang_label":"__label__en","ft_lang_prob":0.6187861,"math_prob":1.00001,"size":342,"snap":"2019-43-2019-47","text_gpt3_token_len":94,"char_repetition_ratio":0.1331361,"word_repetition_ratio":0.0,"special_character_ratio":0.25438598,"punctuation_ratio":0.13636364,"nsfw_num_words":0,"has_unicode_error":false,"math_pr... |
https://docs.microsoft.com/en-us/previous-versions/visualstudio/visual-studio-2008/8x60y0tb%28v%3Dvs.90%29 | [
"# MIRR Function\n\nReturns a Double specifying the modified internal rate of return for a series of periodic cash flows (payments and receipts).\n\n``````Function MIRR( _\nByRef ValueArray() As Double, _\nByVal FinanceRate As Double, _\nByVal ReinvestRate As Double _\n) As Double\n``````\n\n## Parameters\n\n• Valu... | [
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] | {"ft_lang_label":"__label__en","ft_lang_prob":0.7636961,"math_prob":0.8941652,"size":2864,"snap":"2019-35-2019-39","text_gpt3_token_len":651,"char_repetition_ratio":0.13041958,"word_repetition_ratio":0.04398148,"special_character_ratio":0.22660615,"punctuation_ratio":0.110887095,"nsfw_num_words":0,"has_unicode_error":f... |
https://studylib.net/doc/5878381/overhead-sheets-writing-equations-and-inequalities | [
"# Overhead Sheets Writing Equations and Inequalities",
null,
"```Overhead Sheets\nA. 1C\nWriting equations &\ninequalities\n1\nWhen we write equations or inequalities,\nwe take the written description of a\nsituation, and we represent that situation\nusing mathematical symbols.\nExample:\nA boat is 40 time... | [
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"https://s3.studylib.net/store/data/005878381_1-25f39a245cc1b5f93c23f6725ad67457-768x994.png",
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] | {"ft_lang_label":"__label__en","ft_lang_prob":0.90918094,"math_prob":0.996549,"size":4793,"snap":"2021-43-2021-49","text_gpt3_token_len":1291,"char_repetition_ratio":0.13489246,"word_repetition_ratio":0.03128371,"special_character_ratio":0.28875443,"punctuation_ratio":0.11013645,"nsfw_num_words":0,"has_unicode_error":f... |
https://apps.dtic.mil/sti/citations/AD0643644 | [
"# Abstract:\n\nAn analysis is made of the problem of a hypersonic flow without an angle of attack around a triangular plate with an angle 20 having a vertex with a resistance c sub xd constant over the edge, where d is the thickness and cx is the coefficient of resistance of the transverse section of the edge. For... | [
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] | {"ft_lang_label":"__label__en","ft_lang_prob":0.87823945,"math_prob":0.86638176,"size":943,"snap":"2021-43-2021-49","text_gpt3_token_len":210,"char_repetition_ratio":0.10117146,"word_repetition_ratio":0.0,"special_character_ratio":0.2057264,"punctuation_ratio":0.10404624,"nsfw_num_words":0,"has_unicode_error":false,"ma... |
https://socratic.org/questions/how-would-you-predict-the-boiling-point-of-a-0-200-m-solution-of-potassium-iodid | [
"# How would you predict the boiling point of a 0.200 m solution of potassium iodide in water?\n\nJun 15, 2017\n\n${100.205}^{\\text{o\"\"C}}$\n\n#### Explanation:\n\nTo predict the change in boiling point of a solution from the original boiling point, we can use the equation\n\n$\\Delta {T}_{\\text{b\" = i · m · K... | [
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] | {"ft_lang_label":"__label__en","ft_lang_prob":0.84857494,"math_prob":0.9997962,"size":1050,"snap":"2020-24-2020-29","text_gpt3_token_len":268,"char_repetition_ratio":0.20650096,"word_repetition_ratio":0.022727273,"special_character_ratio":0.26285714,"punctuation_ratio":0.09178744,"nsfw_num_words":0,"has_unicode_error":... |
https://www.coronastavelot.com/probabilities-in-the-lab-1 | [
"# coronastavelot.com\n\n### Probabilities in the Lab\n\n#### \"Pick a test tube. Any test tube ...\"\n\nOn March 8, 2020 the results of tests for COVID-19 done at KULeuven and associated labs in their network in Belgium, suggested that any incoming test had a probability of being positive of 6.696±3.898%.\n\nThe v... | [
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] | {"ft_lang_label":"__label__en","ft_lang_prob":0.9179757,"math_prob":0.8196173,"size":2192,"snap":"2020-45-2020-50","text_gpt3_token_len":633,"char_repetition_ratio":0.10968921,"word_repetition_ratio":0.010723861,"special_character_ratio":0.32436132,"punctuation_ratio":0.17054264,"nsfw_num_words":0,"has_unicode_error":f... |
https://nbccc.us/2nd-grade-math-facts-worksheets/3/ | [
"# 3. MATH FACTS WORKSHEETS ADDITION VALID 2ND GRADE MATH FACTS WORKSHEETS NEW SECOND GRADE MENTAL MATH FREEBIE",
null,
"Date : 28 Jun, 2017\n\nCollection : 2nd grade math facts worksheets\n\nBy : Aurelia Hunt\n\n2nd grade math worksheet mad minute math subtraction\n\n📷",
null,
"math facts worksheets 2nd g... | [
null,
"https://nbccc.us/antihrap/2nd-grade-math-facts-worksheets/700-12_2nd-grade-math-facts-worksheets_math-facts-worksheets-addition-valid-2nd-grade-math-facts-worksheets-new-second-grade-mental-math-freebie.png",
null,
"https://nbccc.us/antihrap/2nd-grade-math-facts-worksheets/700-10_2nd-grade-math-facts-w... | {"ft_lang_label":"__label__en","ft_lang_prob":0.79625136,"math_prob":0.6394908,"size":1866,"snap":"2019-13-2019-22","text_gpt3_token_len":439,"char_repetition_ratio":0.29914072,"word_repetition_ratio":0.38214287,"special_character_ratio":0.1881029,"punctuation_ratio":0.03780069,"nsfw_num_words":0,"has_unicode_error":fa... |
https://mathchat.me/category/geometry/definitions/ | [
"## Kiss those Math Headaches GOODBYE!",
null,
"### Summertime Geometry Scavenger Hunt\n\nHere’s a nice summer-days math project …\n\nI just happened to be looking at the NM Highway signs page online a couple of days ago when I saw this nice little list of signs, just below:\n\nI couldn’t help but notice that t... | [
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"https://defaultcustomheadersdata.files.wordpress.com/2016/07/dch_header31.jpg",
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] | {"ft_lang_label":"__label__en","ft_lang_prob":0.9403951,"math_prob":0.8838861,"size":4570,"snap":"2019-35-2019-39","text_gpt3_token_len":1051,"char_repetition_ratio":0.1498029,"word_repetition_ratio":0.033169534,"special_character_ratio":0.2262582,"punctuation_ratio":0.13256785,"nsfw_num_words":0,"has_unicode_error":fa... |
https://www.gurufocus.com/term/TotalEquityGrossMinorityInterest/NYSE:AR/Total-Equity/Antero%20Resources%20Corp | [
"Switch to:\nAntero Resources Corp (NYSE:AR) Total Equity: \\$8,293 Mil (As of Mar. 2019)\n\nAntero Resources Corp's total equity for the quarter that ended in Mar. 2019 was \\$8,293 Mil.\n\nThis is Residual interest, including minority interest, that remains in the assets of the enterprise after deducting its lia... | [
null,
"https://gurufocus.s3.amazonaws.com/images/blur.png",
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"https://gurufocus.s3.amazonaws.com/images/blur.png",
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"https://gurufocus.s3.amazonaws.com/images/blur.png",
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"https://gurufocus.s3.amazonaws.com/images/blur.png",
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] | {"ft_lang_label":"__label__en","ft_lang_prob":0.92229116,"math_prob":0.93859833,"size":1445,"snap":"2019-26-2019-30","text_gpt3_token_len":373,"char_repetition_ratio":0.110340044,"word_repetition_ratio":0.24267782,"special_character_ratio":0.2920415,"punctuation_ratio":0.1508772,"nsfw_num_words":0,"has_unicode_error":f... |
https://fr.mathworks.com/help/mpc/ug/generate-matlab-code-from-mpc-designer.html | [
"## Generate MATLAB Code from MPC Designer\n\nThis topic shows how to generate MATLAB® code for creating and simulating model predictive controllers designed in the MPC Designer app. Generated MATLAB scripts are useful when you want to programmatically reproduce designs that you obtained interactively.\n\nTo create... | [
null,
"https://fr.mathworks.com/help/mpc/ug/split_button_downarrow.png",
null,
"https://fr.mathworks.com/help/mpc/ug/split_button_downarrow.png",
null,
"https://fr.mathworks.com/help/mpc/ug/mpc_designer_gen_script_select.png",
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] | {"ft_lang_label":"__label__en","ft_lang_prob":0.790523,"math_prob":0.4977833,"size":1302,"snap":"2023-14-2023-23","text_gpt3_token_len":235,"char_repetition_ratio":0.15254237,"word_repetition_ratio":0.0,"special_character_ratio":0.17204301,"punctuation_ratio":0.08108108,"nsfw_num_words":0,"has_unicode_error":false,"mat... |
https://easyforces.com/solutions/101/ | [
"# Symmetric Tree\n\n## Intuition\n\nThis is similiar to check if 2 trees are the same. The main part of this solution is a preorder traversal of the left sub-tree, while the helping part of it is a mirror preorder traversal of the right sub-tree.\n\n## Solution\n\n``````\n# Definition for a binary tree node.\n# cl... | [
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] | {"ft_lang_label":"__label__en","ft_lang_prob":0.61191916,"math_prob":0.9079565,"size":739,"snap":"2022-40-2023-06","text_gpt3_token_len":193,"char_repetition_ratio":0.16190477,"word_repetition_ratio":0.0,"special_character_ratio":0.26116374,"punctuation_ratio":0.22023809,"nsfw_num_words":0,"has_unicode_error":false,"ma... |
http://ty.fromthemachine.org/en.wikipedia.org/wiki/Atomic_number | [
"Atomic number",
null,
"An explanation of the superscripts and subscripts seen in atomic number notation. Atomic number is the number of protons, and therefore also the total positive charge, in the atomic nucleus.",
null,
"The Rutherford–Bohr model of the hydrogen atom (Z = 1) or a hydrogen-like ion (Z > 1... | [
null,
"https://upload.wikimedia.org/wikipedia/commons/thumb/1/18/Atomic_number_depiction.jpg/300px-Atomic_number_depiction.jpg",
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"https://upload.wikimedia.org/wikipedia/commons/thumb/9/93/Bohr_atom_model.svg/300px-Bohr_atom_model.svg.png",
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.9450569,"math_prob":0.9494125,"size":10885,"snap":"2022-05-2022-21","text_gpt3_token_len":2400,"char_repetition_ratio":0.1661612,"word_repetition_ratio":0.0011235955,"special_character_ratio":0.22048691,"punctuation_ratio":0.0910921,"nsfw_num_words":0,"has_unicode_error":... |
http://apmonitor.com/pdc/index.php/Main/TransferFunctions | [
"## Transfer Functions",
null,
"",
null,
"",
null,
"",
null,
"",
null,
"Transfer functions are input to output representations of dynamic systems. One advantage of working in the Laplace domain (versus the time domain) is that differential equations become algebraic equations. These algebraic eq... | [
null,
"http://apmonitor.com/pdc/uploads/Main/schedule.png",
null,
"http://apmonitor.com/pdc/uploads/Main/learn2.png",
null,
"http://apmonitor.com/pdc/uploads/Main/quiz.png",
null,
"http://apmonitor.com/pdc/uploads/Main/assignment.png",
null,
"http://apmonitor.com/pdc/uploads/Main/tclab_icon.png",
... | {"ft_lang_label":"__label__en","ft_lang_prob":0.7489396,"math_prob":0.99985397,"size":8780,"snap":"2021-43-2021-49","text_gpt3_token_len":2679,"char_repetition_ratio":0.13673656,"word_repetition_ratio":0.03671875,"special_character_ratio":0.31036445,"punctuation_ratio":0.09478407,"nsfw_num_words":0,"has_unicode_error":... |
https://numbermatics.com/n/194/ | [
"# 194\n\n## 194 is an even composite number composed of two prime numbers multiplied together.\n\nWhat does the number 194 look like?\n\nThis visualization shows the relationship between its 2 prime factors (large circles) and 4 divisors.\n\n194 is an even composite number. It is composed of two distinct prime num... | [
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] | {"ft_lang_label":"__label__en","ft_lang_prob":0.8774361,"math_prob":0.9664531,"size":2391,"snap":"2019-51-2020-05","text_gpt3_token_len":588,"char_repetition_ratio":0.11018014,"word_repetition_ratio":0.033333335,"special_character_ratio":0.2672522,"punctuation_ratio":0.16386555,"nsfw_num_words":0,"has_unicode_error":fa... |
https://vision.ai.illinois.edu/research/low-level-vision/block-based-motion-estimation-for-missing-video-frame-interpolation-and-spatially-scalable-multi-resolution-video-coding/ | [
"# Block-based motion estimation for missing video frame interpolation, and spatially scalable (multi-resolution) video coding\n\nVideo frames are often dropped during compression at very low bit rates. At the decoder, a missing frame interpolation method synthesizes the missed frames. We propose a two step motion ... | [
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] | {"ft_lang_label":"__label__en","ft_lang_prob":0.9030635,"math_prob":0.9491879,"size":2082,"snap":"2023-40-2023-50","text_gpt3_token_len":413,"char_repetition_ratio":0.1400385,"word_repetition_ratio":0.0,"special_character_ratio":0.19068204,"punctuation_ratio":0.10512129,"nsfw_num_words":0,"has_unicode_error":false,"mat... |
https://affairscloud.com/reasoning-questions-puzzles-set-90/ | [
"#",
null,
"Reasoning Questions – Puzzles Set 90\n\nHello Aspirants.\n\nWelcome to Online Reasoning Section in AffairsCloud.com. Here we are creating question sample in Puzzles set, which is common for all the IBPS, SBI exam and other competitive exams. We have included Some questions that are repeatedly asked ... | [
null,
"https://affairscloud.com/assets/uploads/2021/04/CURRENT-CRACK-ALL-EXAM-2021728x90-1.gif",
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] | {"ft_lang_label":"__label__en","ft_lang_prob":0.96145236,"math_prob":0.62591034,"size":2997,"snap":"2021-31-2021-39","text_gpt3_token_len":964,"char_repetition_ratio":0.13397929,"word_repetition_ratio":0.07931571,"special_character_ratio":0.33800468,"punctuation_ratio":0.17523056,"nsfw_num_words":0,"has_unicode_error":... |
http://sightworder.com/library/introduction-to-the-baum-connes-conjecture | [
"# Introduction to the Baum-Connes conjecture by Alain Valette",
null,
"By Alain Valette\n\nThe Baum-Connes conjecture is a part of A. Connes' non-commutative geometry programme. it may be seen as a conjectural generalisation of the Atiyah-Singer index theorem, to the equivariant surroundings (the ambient manif... | [
null,
"https://images-na.ssl-images-amazon.com/images/I/418vTDiJUHL._SX353_BO1,204,203,200_.jpg",
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.8820868,"math_prob":0.9111958,"size":5351,"snap":"2023-40-2023-50","text_gpt3_token_len":1348,"char_repetition_ratio":0.10996821,"word_repetition_ratio":0.010822511,"special_character_ratio":0.22855541,"punctuation_ratio":0.0996016,"nsfw_num_words":0,"has_unicode_error":f... |
https://www.eeeguide.com/newton-raphson-method-formula/ | [
"## Newton Raphson Method Formula:\n\nThe Newton Raphson Method Formula is a powerful method of solving non-linear algebraic equations. It works faster and is sure to converge in most cases as compared to the GS method. It is indeed the practical method of load flow solution of large power networks. Its only drawba... | [
null,
"https://www.eeeguide.com/wp-content/uploads/2016/11/Newton-Raphson-Method.jpg",
null,
"https://www.eeeguide.com/wp-content/uploads/2016/11/Newton-Raphson-Method-1.jpg",
null,
"https://www.eeeguide.com/wp-content/uploads/2016/11/Newton-Raphson-Method-2.jpg",
null,
"https://www.eeeguide.com/wp-co... | {"ft_lang_label":"__label__en","ft_lang_prob":0.9043813,"math_prob":0.98797137,"size":4940,"snap":"2021-43-2021-49","text_gpt3_token_len":1170,"char_repetition_ratio":0.13148299,"word_repetition_ratio":0.004634994,"special_character_ratio":0.23137651,"punctuation_ratio":0.10515673,"nsfw_num_words":0,"has_unicode_error"... |
https://math.portonvictor.org/2020/01/31/an-infinitely-big-structure-in-the-center-of-a-black-hole/ | [
"",
null,
"# An infinitely big structure in the center of a black hole?\n\nI remind that I defined generalized limit of arbitrary function. The limit may be an infinitely big value.\n\nIt allows to define derivative and integral of an arbitrary function.\n\nI also defined what are solutions of partial different... | [
null,
"https://i2.wp.com/math.portonvictor.org/wp-content/uploads/2020/01/photo-1495145047563-8435333e99d1.jpg",
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.91184217,"math_prob":0.9390051,"size":1788,"snap":"2020-45-2020-50","text_gpt3_token_len":362,"char_repetition_ratio":0.117713004,"word_repetition_ratio":0.046979867,"special_character_ratio":0.19630873,"punctuation_ratio":0.079027355,"nsfw_num_words":0,"has_unicode_error... |
https://acousticstoday.org/5-%E2%80%A2-the-world-through-sound-decibels/ | [
"Welcome to the fifth installment of The World Through Sound. Last time, we discussed the concepts of equilibrium and acoustic pressure, and how almost any variation around equilibrium can bear a striking resemblance to the behavior of sound. Today, we are going to look a little more at acoustic pressure, and one o... | [
null,
"https://acousticstoday.org/wp-content/uploads/2015/10/Figure1Full.png",
null,
"https://acousticstoday.org/wp-content/uploads/2015/10/Figure2.png",
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.95278305,"math_prob":0.9503463,"size":7903,"snap":"2023-40-2023-50","text_gpt3_token_len":1674,"char_repetition_ratio":0.12507913,"word_repetition_ratio":0.011670314,"special_character_ratio":0.20751613,"punctuation_ratio":0.09557867,"nsfw_num_words":0,"has_unicode_error"... |
https://discuss.pytorch.org/t/why-does-the-1d-convolution-have-a-3rd-channel/12239 | [
"# Why does the 1D convolution have a 3rd channel?\n\nI was looking at the 1D convolution (http://pytorch.org/docs/master/nn.html#conv1d) and the input image is of size (N,C_in,L_in). I am wondering, why is there a third channel? For a 1D convolution I would have expected that we convolve in a 1D line, so each “lin... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.9509266,"math_prob":0.9263268,"size":645,"snap":"2022-05-2022-21","text_gpt3_token_len":176,"char_repetition_ratio":0.12948518,"word_repetition_ratio":0.0,"special_character_ratio":0.2620155,"punctuation_ratio":0.11333334,"nsfw_num_words":0,"has_unicode_error":false,"math... |
https://www.dummies.com/article/academics-the-arts/science/physics/physics-equations-and-formulas-184043/ | [
"##### Physics I For Dummies",
null,
"Physics is filled with equations and formulas that deal with angular motion, Carnot engines, fluids, forces, moments of inertia, linear motion, simple harmonic motion, thermodynamics, and work and energy.\n\nHere’s a list of some important physics formulas and equations to ... | [
null,
"https://www.dummies.com/wp-content/uploads/9781119872221-203x255.jpg",
null,
"https://www.dummies.com/wp-content/uploads/293034.image0.png",
null,
"https://www.dummies.com/wp-content/uploads/293035.image1.png",
null,
"https://www.dummies.com/wp-content/uploads/293036.image2.png",
null,
"htt... | {"ft_lang_label":"__label__en","ft_lang_prob":0.7247794,"math_prob":0.9751557,"size":52122,"snap":"2023-40-2023-50","text_gpt3_token_len":14007,"char_repetition_ratio":0.14323266,"word_repetition_ratio":0.59960073,"special_character_ratio":0.31134644,"punctuation_ratio":0.21878771,"nsfw_num_words":0,"has_unicode_error"... |
https://typeset.io/journals/physical-review-e8yu3sqt | [
"JournalISSN: 0031-899X\n\n# Physical Review\n\nAbout: Physical Review is an academic journal. The journal publishes majorly in the area(s): Scattering & Electron. It has an ISSN identifier of 0031-899X. Over the lifetime, 43509 publication(s) have been published receiving 2111570 citation(s). The journal is also k... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.90416193,"math_prob":0.95895815,"size":6347,"snap":"2022-40-2023-06","text_gpt3_token_len":1416,"char_repetition_ratio":0.12533501,"word_repetition_ratio":0.08657048,"special_character_ratio":0.22498818,"punctuation_ratio":0.09180918,"nsfw_num_words":0,"has_unicode_error"... |
https://community.khronos.org/t/drag-and-drop/32089 | [
"# drag and drop\n\nhttp://www.mfcogl.com/Drag%20&%20Drop%20-%20MFC%20&%20OpenGL%20Page.htm has an example of a drag and drop method but it appears very complicated with setCapture calls and translating the mouse point to window coordinates. i thought something like:\n\nstatic void mouse (int button, int state, int... | [
null,
"http://www.opengl.org/discussion_boards/ubb/smile.gif",
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.729341,"math_prob":0.82626337,"size":3292,"snap":"2022-27-2022-33","text_gpt3_token_len":984,"char_repetition_ratio":0.22262774,"word_repetition_ratio":0.6315789,"special_character_ratio":0.30346295,"punctuation_ratio":0.15426998,"nsfw_num_words":0,"has_unicode_error":fal... |
https://engstroy.spbstu.ru/en/article/2022.115.12/ | [
"# Compressive strength prediction model of lightweight high-strength concrete\n\nAuthors:\nAbstract:\n\nA reasonable prediction of the compressive strength of lightweight high-strength concrete is an important basis for determining concrete strength. Through cluster analysis, the key factors affecting the compress... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.87735736,"math_prob":0.9864817,"size":2093,"snap":"2023-40-2023-50","text_gpt3_token_len":429,"char_repetition_ratio":0.20105314,"word_repetition_ratio":0.04276316,"special_character_ratio":0.20401338,"punctuation_ratio":0.116094984,"nsfw_num_words":0,"has_unicode_error":... |
https://www.math.bgu.ac.il/en/teaching/spring2019/courses/methods-of-mathematical-analysis | [
"## Course topics\n\nOrdinary Differential EquationsBasic concepts: ordinary differential equations, differential equations of the first order, general solution, initial value problems, partial solutions. Linear differential equations with separable variables, exact equations, integration factor, homogeneous equati... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.739936,"math_prob":0.9977994,"size":1238,"snap":"2022-40-2023-06","text_gpt3_token_len":281,"char_repetition_ratio":0.20502432,"word_repetition_ratio":0.05479452,"special_character_ratio":0.17609046,"punctuation_ratio":0.18716578,"nsfw_num_words":0,"has_unicode_error":fal... |
https://www.geeksforgeeks.org/minimum-rotations-that-have-maximum-elements-with-value-at-most-its-index/?type=article&id=740162 | [
"",
null,
"GeeksforGeeks App\nOpen App",
null,
"Browser\nContinue\n\n# Minimum rotations that have maximum elements with value at most its index\n\nGiven an array arr[] of size N, the array can be rotated any number of times such that after rotation, each element of the array arr[] that is less than or equa... | [
null,
"https://media.geeksforgeeks.org/gfg-gg-logo.svg",
null,
"https://media.geeksforgeeks.org/auth-dashboard-uploads/web-2.png",
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.6114802,"math_prob":0.99431264,"size":10863,"snap":"2023-14-2023-23","text_gpt3_token_len":3668,"char_repetition_ratio":0.14080486,"word_repetition_ratio":0.54931444,"special_character_ratio":0.39326152,"punctuation_ratio":0.19089317,"nsfw_num_words":0,"has_unicode_error"... |
https://mathspace.co/textbooks/syllabuses/Syllabus-410/topics/Topic-7305/subtopics/Subtopic-97472/?activeTab=theory | [
"NZ Level 7 (NZC) Level 2 (NCEA)",
null,
"Power rule (ax^n)\nLesson\n\nThere isn't a lot of difference between the functions $x^2$x2 and $3x^2$3x2 for example, except that we know the $3$3 has the effect of dilating the graph (in this case making it steeper). This means that the value of the $3$3 must have an ... | [
null,
"https://mathspace-production-static.mathspace.co/permalink/badges/v3/differentiation.svg",
null,
"https://mathspace-production-media.mathspace.co/media/upload/images/001_Chapter_Entries/Rates_of_Change/rates22.png",
null,
"https://mathspace-production-media.mathspace.co/media/upload/images/001_Chap... | {"ft_lang_label":"__label__en","ft_lang_prob":0.82226694,"math_prob":0.9999292,"size":2017,"snap":"2021-31-2021-39","text_gpt3_token_len":711,"char_repetition_ratio":0.12071535,"word_repetition_ratio":0.0,"special_character_ratio":0.3460585,"punctuation_ratio":0.06290673,"nsfw_num_words":0,"has_unicode_error":false,"ma... |
https://physics.stackexchange.com/questions/497635/what-differences-would-be-observed-in-the-stern-gerlach-experiment-when-using-ne | [
"What differences would be observed in the Stern-Gerlach experiment when using neutral fluorine (Z=9) and neutral sodium (N=11)\n\nI have been working through some past exam papers for my Quantum Mechanics module, and one of the questions is what would be different about observing the results of the Stern-Gerlach e... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.95996255,"math_prob":0.63112473,"size":1336,"snap":"2019-43-2019-47","text_gpt3_token_len":310,"char_repetition_ratio":0.11036036,"word_repetition_ratio":0.025974026,"special_character_ratio":0.22005989,"punctuation_ratio":0.0703125,"nsfw_num_words":0,"has_unicode_error":... |
https://artofbetterprogramming.com/tag/form/ | [
"## Gaussian Method of Solving Linear Systems: Linear Algebra\n\nIntroducing the Gaussian Method and Linear Algebra Linear algebra is a subject devoted to understanding complex equations that interact together to form systems. The Gaussian method is the premise of linear algebra, and provides tools which help disce... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.9129514,"math_prob":0.7930447,"size":436,"snap":"2021-04-2021-17","text_gpt3_token_len":74,"char_repetition_ratio":0.16435185,"word_repetition_ratio":0.0,"special_character_ratio":0.15825687,"punctuation_ratio":0.05882353,"nsfw_num_words":0,"has_unicode_error":false,"math... |
https://wordpress-861445-2977130.cloudwaysapps.com/tag/11151/ | [
"## Assume you need to test a function named inOrder. The function inOrder receives three int arguments and returns true if and only if the arguments are in non-decreasing order: that is, the second argument is not less than the first and the third is not less than the second. Write the definition of driver functio... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.8061919,"math_prob":0.8622688,"size":812,"snap":"2023-40-2023-50","text_gpt3_token_len":174,"char_repetition_ratio":0.1460396,"word_repetition_ratio":0.7067669,"special_character_ratio":0.19704433,"punctuation_ratio":0.078947365,"nsfw_num_words":0,"has_unicode_error":fals... |
http://www.nationaltrustcollections.org.uk/results?ObjectType=ice+pail+liner | [
"## You searched , Object Type: “ice pail liner”\n\nShow me:\nand\n\n• Explore\n• Explore\n• Explore\n• Explore\n• Explore\n• Explore\n• Explore\n• Explore\n• Explore\n• Explore\n• Explore\n• Explore\n• Explore\n• Explore\n• Explore\n• Explore\n• Explore\n• Explore\n• Explore\n• Explore\n• Explore\n• Explore\n• Exp... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.68192476,"math_prob":0.99038255,"size":288,"snap":"2020-34-2020-40","text_gpt3_token_len":75,"char_repetition_ratio":0.09154929,"word_repetition_ratio":0.45714286,"special_character_ratio":0.21875,"punctuation_ratio":0.13043478,"nsfw_num_words":0,"has_unicode_error":false... |
https://www.keyword-suggest-tool.com/search/mole+particle+conversion+notes/ | [
"# Mole particle conversion notes\n\nMole particle conversion notes keyword after analyzing the system lists the list of keywords related and the list of websites with related content, in addition you can see which keywords most interested customers on the this website\n\n## Keyword Suggestions\n\nMole particles\n\... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.7572865,"math_prob":0.74485326,"size":403,"snap":"2021-21-2021-25","text_gpt3_token_len":99,"char_repetition_ratio":0.12531328,"word_repetition_ratio":0.0,"special_character_ratio":0.2133995,"punctuation_ratio":0.14666666,"nsfw_num_words":0,"has_unicode_error":false,"math... |
https://docs.scipy.org/doc/scipy-0.12.0/reference/generated/scipy.fftpack.tilbert.html | [
"# scipy.fftpack.tilbert¶\n\nscipy.fftpack.tilbert(x, h, period=None, _cache={})[source]\n\nReturn h-Tilbert transform of a periodic sequence x.\n\nIf x_j and y_j are Fourier coefficients of periodic functions x and y, respectively, then:\n\n```y_j = sqrt(-1)*coth(j*h*2*pi/period) * x_j\ny_0 = 0\n```\nParameters : ... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.5913517,"math_prob":0.9844964,"size":557,"snap":"2019-13-2019-22","text_gpt3_token_len":171,"char_repetition_ratio":0.1283906,"word_repetition_ratio":0.0,"special_character_ratio":0.3123878,"punctuation_ratio":0.15178572,"nsfw_num_words":0,"has_unicode_error":false,"math_... |
https://docs.yugabyte.com/preview/api/ysql/datatypes/type_json/functions-operators/to-jsonb/ | [
"# to_jsonb()\n\nPurpose: Convert a single SQL value of any primitive or compound data type, that allows a JSON representation, to a semantically equivalent `jsonb` value.\n\nSignature For the `jsonb` variant:\n\n``````input value: anyelement\nreturn value: jsonb\n``````\n\nUse this `ysqlsh` script to cr... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.5109692,"math_prob":0.8241613,"size":1518,"snap":"2023-40-2023-50","text_gpt3_token_len":488,"char_repetition_ratio":0.19484809,"word_repetition_ratio":0.0,"special_character_ratio":0.36495388,"punctuation_ratio":0.27710843,"nsfw_num_words":0,"has_unicode_error":false,"ma... |
https://ru.scribd.com/document/168686503/1999-Xu-and-Goswami | [
"Вы находитесь на странице: 1из 12\n\n# Energy 24 (1999) 525536\n\nwww.elsevier.com/locate/energy\n\n## Thermodynamic properties of ammoniawater mixtures for power-cycle applications\n\nFeng Xua, D. Yogi Goswamib,*\nb a Donlee Technologies, Inc., 693 North Hills Road, York, PA 17402, USA Department of Mechanical En... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.7928447,"math_prob":0.93801945,"size":12469,"snap":"2020-45-2020-50","text_gpt3_token_len":3730,"char_repetition_ratio":0.13132772,"word_repetition_ratio":0.042472865,"special_character_ratio":0.31486085,"punctuation_ratio":0.15361999,"nsfw_num_words":1,"has_unicode_error... |
https://www.xarg.org/puzzle/codesignal/caesarian/ | [
"# Codesignal Solution: caesarian\n\nOriginal problem\n\nCaesarian shift (Caesar cipher) is a method used in cryptography where a string message is encrypted by shifting the letters n times.\n\nYou are given an integer n, which can be positive, negative or zero. Positive values indicate right shifts, and negative v... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.7988148,"math_prob":0.9767576,"size":2799,"snap":"2022-40-2023-06","text_gpt3_token_len":752,"char_repetition_ratio":0.11234347,"word_repetition_ratio":0.016359918,"special_character_ratio":0.28152913,"punctuation_ratio":0.12704174,"nsfw_num_words":0,"has_unicode_error":f... |
https://www.arxiv-vanity.com/papers/cond-mat/0001432/ | [
"# Statistical mechanics of money\n\nAdrian Drăgulescu and Victor M. Yakovenko[*] Department of Physics, University of Maryland, College Park, MD 20742-4111, USA\ncond-mat/0001432, final version 4, August 4, 2000, to be published in Eur. Phys. J. B\n###### Abstract\n\nIn a closed economic system, money is conserved... | [
null,
"https://media.arxiv-vanity.com/render-output/6206460/x1.png",
null,
"https://media.arxiv-vanity.com/render-output/6206460/x2.png",
null,
"https://media.arxiv-vanity.com/render-output/6206460/x3.png",
null,
"https://media.arxiv-vanity.com/render-output/6206460/x4.png",
null,
"https://media.a... | {"ft_lang_label":"__label__en","ft_lang_prob":0.9260373,"math_prob":0.9451075,"size":29584,"snap":"2022-40-2023-06","text_gpt3_token_len":6286,"char_repetition_ratio":0.17116295,"word_repetition_ratio":0.022713065,"special_character_ratio":0.20967415,"punctuation_ratio":0.13330932,"nsfw_num_words":0,"has_unicode_error"... |
https://socratic.org/questions/the-price-of-a-commodity-has-increased-by-15-so-that-one-can-buy-3-more-commodit | [
"# The price of a commodity has increased by 15% so that one can buy 3 more commodities for Rs 1700. What was the original price of the commodity?\n\nOct 9, 2017\n\nThe original price of the commodity is: ${C}_{o} = R s 492.75$\n\n#### Explanation:\n\nThree commodities now cost $R s 1700$\n\nOne commodity now cost ... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.8524264,"math_prob":0.9998919,"size":416,"snap":"2022-27-2022-33","text_gpt3_token_len":98,"char_repetition_ratio":0.1699029,"word_repetition_ratio":0.0,"special_character_ratio":0.24038461,"punctuation_ratio":0.07594936,"nsfw_num_words":0,"has_unicode_error":false,"math_... |
https://www.tutorialsandyou.com/aptitude/ratio-and-proportion/8_2 | [
"# Ratio and Proportion with Explanation\n\nQ8. 20 litres of the mixture has water and milk in the ratio 3 : 5. If 4 litres of the mixture is to be replaced by 4 litres of milk, then what is the ratio of water to milk in the new mixture?\n\n A. 7 : 3 B. 3 : 7 C. 4 : 7 D. 8 : 3\n\nQ9. In a school, there are 200 girl... | [
null,
"https://www.tutorialsandyou.com/images/leftbracket.gif",
null,
"https://www.tutorialsandyou.com/images/rightbracket.gif",
null,
"https://www.tutorialsandyou.com/images/checked.png",
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.9408765,"math_prob":0.8880738,"size":1522,"snap":"2022-27-2022-33","text_gpt3_token_len":574,"char_repetition_ratio":0.13043478,"word_repetition_ratio":0.0,"special_character_ratio":0.40275952,"punctuation_ratio":0.21596244,"nsfw_num_words":0,"has_unicode_error":false,"ma... |
http://www.numbersaplenty.com/361435 | [
"Search a number\nBaseRepresentation\nbin1011000001111011011\n3200100210111\n41120033123\n543031220\n611425151\n73033514\noct1301733\n9610714\n10361435\n11227608\n121551b7\n13c8689\n1495a0b\n157215a\nhex583db\n\n361435 has 4 divisors (see below), whose sum is σ = 433728. Its totient is φ = 289144.\n\nThe previous p... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.87083113,"math_prob":0.99408454,"size":1765,"snap":"2019-35-2019-39","text_gpt3_token_len":524,"char_repetition_ratio":0.16808632,"word_repetition_ratio":0.006430868,"special_character_ratio":0.41869688,"punctuation_ratio":0.13165267,"nsfw_num_words":0,"has_unicode_error"... |
http://www.aaastudy.com/g34d_ix1.htm | [
"Division and Multiplication Relationship There is an inverse relationship between multiplication and division. The equation 45 ÷ 5 = 9 has the inverse relationships following are also true: 5 * 9 = 45 9 * 5 = 45 Similar relationships exist for multiplication. The equation 3 * 7 = 21 has the relationships: 21 ÷ 3 =... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.93209726,"math_prob":0.99802047,"size":287,"snap":"2019-13-2019-22","text_gpt3_token_len":85,"char_repetition_ratio":0.18727915,"word_repetition_ratio":0.0,"special_character_ratio":0.34146342,"punctuation_ratio":0.078431375,"nsfw_num_words":0,"has_unicode_error":false,"m... |
https://web.stanford.edu/~mrosenfe/research_terminology.htm | [
"© Michael J. Rosenfeld, 2009, 2012\n\nNotes on terminology for evaluation of research.\n\n1) What we mean and don’t mean by bias.\n\nWhat we don’t mean: Statistical bias has nothing to do with personal bias or prejudice.\n\nThere are two kinds of errors relevant to statistical measurement. One is noise, the other ... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.9471686,"math_prob":0.9644704,"size":8207,"snap":"2019-43-2019-47","text_gpt3_token_len":1730,"char_repetition_ratio":0.12617335,"word_repetition_ratio":0.016405135,"special_character_ratio":0.2093335,"punctuation_ratio":0.09495743,"nsfw_num_words":0,"has_unicode_error":f... |
https://jillhacker.com/category/polynomials/ | [
"# How Many x-Intercepts?\n\n## Question\n\nWhat is the maximum number of zeros (also called x-intercepts) the function may have? What is the minimum? c, a constant, may be any real number.\n\n## Solution\n\nThe maximum number zeros of a polynomial function is equal to the function’s degree. The function is fou... | [
null,
"https://i0.wp.com/jillhacker.com/wp-content/uploads/2.jpg",
null,
"https://i0.wp.com/jillhacker.com/wp-content/uploads/5.jpg",
null,
"https://i0.wp.com/jillhacker.com/wp-content/uploads/6.5.jpg",
null,
"https://i0.wp.com/jillhacker.com/wp-content/uploads/9.jpg",
null,
"https://i0.wp.com/jil... | {"ft_lang_label":"__label__en","ft_lang_prob":0.91855526,"math_prob":0.97709113,"size":2359,"snap":"2023-40-2023-50","text_gpt3_token_len":512,"char_repetition_ratio":0.16093418,"word_repetition_ratio":0.028436018,"special_character_ratio":0.21449767,"punctuation_ratio":0.105906315,"nsfw_num_words":0,"has_unicode_error... |
https://economics.stackexchange.com/questions/53000/does-strongly-monotone-preference-imply-local-non-satiation | [
"# Does strongly monotone preference imply local non-satiation?\n\nHow to prove this? I understand monotonicity implies local non-satiation but does strongly monotone also imply it? How to prove it like this - https://felixmunozgarcia.files.wordpress.com/2017/08/recitation_1.pdf (page 4 answer(b))?\n\n• Yes because... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.7987386,"math_prob":0.80150104,"size":567,"snap":"2023-14-2023-23","text_gpt3_token_len":171,"char_repetition_ratio":0.11900533,"word_repetition_ratio":0.0,"special_character_ratio":0.29276896,"punctuation_ratio":0.17592593,"nsfw_num_words":0,"has_unicode_error":false,"ma... |
https://mathematica.stackexchange.com/questions/tagged/modular-arithmetic | [
"# Questions tagged [modular-arithmetic]\n\nThe tag has no usage guidance.\n\n98 questions\nFilter by\nSorted by\nTagged with\n84 views\n\n### Adding Points on an Elliptic Curve\n\nHow do I do this in Mathematica? The curve given by the equation $y^2 = x^3 + 29x + 7$ defined over the integers modulo $10007$ Adding ... | [
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] | {"ft_lang_label":"__label__en","ft_lang_prob":0.8397044,"math_prob":0.97336966,"size":11324,"snap":"2023-40-2023-50","text_gpt3_token_len":3294,"char_repetition_ratio":0.1443463,"word_repetition_ratio":0.034877926,"special_character_ratio":0.31367007,"punctuation_ratio":0.13306123,"nsfw_num_words":0,"has_unicode_error"... |
http://forums.wolfram.com/mathgroup/archive/2011/Nov/msg00009.html | [
"",
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"",
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"",
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"",
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"",
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"",
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"Re: Simple question about inverse of a function\n\n• To: mathgroup at smc.vnet.net\n• Subject: [mg122585] Re: Simple question about inverse of a function\n• From: DrMajorBob <btreat1 at austin.rr.com>\n• Date: Wed, 2 ... | [
null,
"http://forums.wolfram.com/mathgroup/images/head_mathgroup.gif",
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"http://forums.wolfram.com/mathgroup/images/head_archive.gif",
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"http://forums.wolfram.com/mathgroup/images/numbers/2.gif",
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"http://forums.wolfram.com/mathgroup/images/numbers/0.gif",
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"http://forums.wolfr... | {"ft_lang_label":"__label__en","ft_lang_prob":0.7703093,"math_prob":0.41335458,"size":1389,"snap":"2019-26-2019-30","text_gpt3_token_len":432,"char_repetition_ratio":0.10974729,"word_repetition_ratio":0.09045226,"special_character_ratio":0.3311735,"punctuation_ratio":0.18466899,"nsfw_num_words":0,"has_unicode_error":fa... |
https://techiescientist.com/ccl4-lewis-structure/ | [
"# CCl4 Lewis Structure, Molecular Geometry, Hybridization, and MO Diagram",
null,
"Carbon Tetrachloride is a chemical that is produced and is not available naturally. In its natural state, it is a colorless liquid chemical with a little sweet smell like ether.\n\nInitially, the compound had everyday applicatio... | [
null,
"https://techiescientist.com/wp-content/uploads/2021/02/ccl4.png",
null,
"https://techiescientist.com/wp-content/uploads/2021/02/ccl4-lewis-structure.jpg",
null,
"https://techiescientist.com/wp-content/uploads/2021/02/CCl4-Hybridization.jpg",
null,
"https://techiescientist.com/wp-content/uploads... | {"ft_lang_label":"__label__en","ft_lang_prob":0.9310744,"math_prob":0.9486924,"size":8339,"snap":"2021-43-2021-49","text_gpt3_token_len":1873,"char_repetition_ratio":0.16112778,"word_repetition_ratio":0.019310344,"special_character_ratio":0.20937762,"punctuation_ratio":0.0955335,"nsfw_num_words":0,"has_unicode_error":f... |
https://tentotwelvemath.com/grade-11/grade-11-precalculus/6-number/integer-exponents/ | [
"# Integer Exponents\n\nLesson on Monday 4th January: Students studying remotely, 1: please study this page; 2: print and complete the handout, 3: compare your solutions with solutions given, then 4: email me with any questions. Thanks, and see you soon!\n\nLet’s examine",
null,
". On this page, our values for"... | [
null,
"https://tentotwelvemath.com/wp-content/ql-cache/quicklatex.com-82179474151d6f83e3a2a786986bd066_l3.png",
null,
"https://tentotwelvemath.com/wp-content/ql-cache/quicklatex.com-0b2c2e6ac87aaa716919bb34958acada_l3.png",
null,
"https://tentotwelvemath.com/wp-content/ql-cache/quicklatex.com-15ea787ceba0... | {"ft_lang_label":"__label__en","ft_lang_prob":0.92017394,"math_prob":0.93391645,"size":3058,"snap":"2021-43-2021-49","text_gpt3_token_len":735,"char_repetition_ratio":0.09692207,"word_repetition_ratio":0.024911031,"special_character_ratio":0.23479398,"punctuation_ratio":0.14781298,"nsfw_num_words":0,"has_unicode_error"... |
https://www.nbhkdz.com/read/5e29791516a212095b1492cf.html | [
"nbhkdz.com冰点文库\n\n# 函数的奇偶性练习题完成1\n\n2．若函数 y ? f ( x)( x ? R) 是奇函数，则下列坐标表示的点一定在函数 y ? f ( x) 图象上的 是（ ） A． (a， ? f (a)) C． ( ?a， ? f ( ?a)) 3．下列函数中为偶函数的是（ A． y ? ） C． y ? x 2 D． y ? x 3 ? 1 ） B． (?a， ? f (a)) D． (a，f ( ?a))\n\nx\n\nB． y ? x\n\n4. 如果奇函数 f ( x) 在 ?3,7? 上是增函数，且最小值是 5，那么 f ( x) 在 ?? 7,?3? 上是（ A．增函数，最小值是... | [
null
] | {"ft_lang_label":"__label__zh","ft_lang_prob":0.9803075,"math_prob":0.99938375,"size":1868,"snap":"2019-13-2019-22","text_gpt3_token_len":1362,"char_repetition_ratio":0.19796138,"word_repetition_ratio":0.07295374,"special_character_ratio":0.63008565,"punctuation_ratio":0.25531915,"nsfw_num_words":0,"has_unicode_error":... |
https://tex.stackexchange.com/questions/224676/reason-for-multiple-bars-in-legend-entries | [
"# Reason for multiple bars in Legend entries\n\nI am have a similar Grouped Bar Chart as shown in this question and wish to know why there are multiple bars in the legend entry. Is it possible to modify the legend so as to consolidate these bars?",
null,
"The legend image code for ybar legend is defined as (pa... | [
null,
"https://i.stack.imgur.com/5GgyT.jpg",
null,
"https://i.stack.imgur.com/SLfXu.png",
null,
"https://i.stack.imgur.com/u4yNq.png",
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.6614673,"math_prob":0.9706434,"size":2469,"snap":"2019-51-2020-05","text_gpt3_token_len":852,"char_repetition_ratio":0.12048682,"word_repetition_ratio":0.032894738,"special_character_ratio":0.3414338,"punctuation_ratio":0.21869159,"nsfw_num_words":0,"has_unicode_error":fa... |
https://forum.allaboutcircuits.com/threads/how-to-find-digital-input-for-given-output-value-of-a-dac.106597/ | [
"# How to find digital input for given output value of a DAC ?\n\n#### thar07\n\nJoined Jan 3, 2015\n71\nThe n-bit R/2R digital-to-analog converter (DAC) has a reference of 16 V and the analog\noutput for the input code 1 is 15.625 mV. how to find the digital input value for the output\n9.140625 V ??\n\n#### MrChip... | [
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] | {"ft_lang_label":"__label__en","ft_lang_prob":0.87356853,"math_prob":0.7070892,"size":2317,"snap":"2023-14-2023-23","text_gpt3_token_len":619,"char_repetition_ratio":0.10332901,"word_repetition_ratio":0.22110553,"special_character_ratio":0.28614587,"punctuation_ratio":0.10683761,"nsfw_num_words":0,"has_unicode_error":f... |
https://studylib.net/doc/7664240/problems | [
"# PROBLEMS",
null,
"```CHAPTER 2 PROBLEMS\n1.\nThirty students in the School of Business were asked what their majors\nwere. The following represents their responses (M = Management; A =\nAccounting;\nE = Economics; O = Others).\nA\nE\nM\nM\nE\nA\nM\nM\nO\nA\nA\nA\nM\nO\nM\nM\nE\nE\nE\nM\nE\nM\nA\nM\nO\nM\nA\n... | [
null,
"https://s3.studylib.net/store/data/007664240_2-fed8711c9e270507db029f3960f26ebd-768x994.png",
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.8833995,"math_prob":0.8984927,"size":2390,"snap":"2021-43-2021-49","text_gpt3_token_len":725,"char_repetition_ratio":0.21248952,"word_repetition_ratio":0.15384616,"special_character_ratio":0.34058577,"punctuation_ratio":0.0990991,"nsfw_num_words":0,"has_unicode_error":fal... |
https://e-baketabam.ir/shop/finance-accountancy/P1372-profit-first-transform-your-business-from-a-cash-eating-monster-to-a-money-making-machine-mike-michalowicz.html | [
"",
null,
"۰\nسبد خرید",
null,
"هر روز با کتابهای بیشتر",
null,
"# Profit First: Transform Your Business from a Cash-Eating Monster to a Money-Making Machine | Mike Michalowicz\n\nکد محصول: eSHB-1300\n۹,۴۹۰ تومان",
null,
"",
null,
"افزودن به سبد خرید\n• درباره کتاب\n• بخشی از کتاب\n• نسخه چاپی ... | [
null,
"https://e-baketabam.ir/uploads/83433fff0fed4ca4ba52b5bd170c3ae6.w_25,h_25,r_k.png",
null,
"https://e-baketabam.ir/uploads/99028db945bf4bf7a2c8b65ad16c749d.w_210,h_105,r_k.png",
null,
"https://e-baketabam.ir/uploads/437304dddcf34502861d4e6526b672fe.w_30,h_30,r_k.png",
null,
"https://e-baketabam.... | {"ft_lang_label":"__label__en","ft_lang_prob":0.968635,"math_prob":0.9418809,"size":20513,"snap":"2022-40-2023-06","text_gpt3_token_len":4591,"char_repetition_ratio":0.1114145,"word_repetition_ratio":0.004521051,"special_character_ratio":0.21030566,"punctuation_ratio":0.1107002,"nsfw_num_words":0,"has_unicode_error":fa... |
https://itprospt.com/num/21304418/10-points-suppose-v-is-amp-vector-space-and-u-and-w-are | [
"1\n\n# (10 points) Suppose V is & vector space and U and W are subspaces of V Use Theorem TSS on page 274 of Beezer to prove that UnW is a subspace of V . [See the doc...\n\n## Question\n\n###### (10 points) Suppose V is & vector space and U and W are subspaces of V Use Theorem TSS on page 274 of Beezer to prove t... | [
null,
"https://cdn.numerade.com/ask_images/32eab352841d46f79791adf2cc27631e.jpg ",
null,
"https://cdn.numerade.com/previews/58b4a372-7b2c-43a3-8954-495d226049a1_large.jpg",
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.75957406,"math_prob":0.97597677,"size":8564,"snap":"2022-27-2022-33","text_gpt3_token_len":2865,"char_repetition_ratio":0.104672894,"word_repetition_ratio":0.60129035,"special_character_ratio":0.32473144,"punctuation_ratio":0.12219851,"nsfw_num_words":1,"has_unicode_error... |
https://www.kritester.com/new/new-82-317.html | [
"News\n\n# How to Calculate the Transformer DC Resistance Imbalance of the Transformer?\n\nCauses and hazards of imbalanced transformer resistance\n\nThe imbalanced three-phase resistance load of the transformer will cause the three-phase operation to be unsymmetrical, resulting in zero-sequence current. On the oth... | [
null,
"https://www.kritester.com/Uploads/image/20160725/20160725044921_49504.jpg",
null,
"https://www.kritester.com/Uploads/image/20220331/20220331170808_77332.jpg",
null,
"https://www.kritester.com/Uploads/image/20220331/20220331142323_25273.jpg",
null,
"https://www.kritester.com/Uploads/image/202203... | {"ft_lang_label":"__label__en","ft_lang_prob":0.92792106,"math_prob":0.97848374,"size":2105,"snap":"2023-40-2023-50","text_gpt3_token_len":414,"char_repetition_ratio":0.18181819,"word_repetition_ratio":0.0,"special_character_ratio":0.18289787,"punctuation_ratio":0.10079575,"nsfw_num_words":0,"has_unicode_error":false,"... |
https://easyforces.com/solutions/637/ | [
"# Average of Levels in Binary Tree",
null,
"",
null,
"",
null,
"## Intuition\n\nUse BFS to solve this problem. The only one difference is to add an additional variable in the BFS queue which is the depth of the current node.\n\nIn BFS, we will traversal each level's node at the same time, so we could g... | [
null,
"https://img.shields.io/badge/LeetCode-637-blue",
null,
"https://img.shields.io/badge/Level-Easy-brightgreen",
null,
"https://img.shields.io/badge/Tag-Tree-blue",
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] | {"ft_lang_label":"__label__en","ft_lang_prob":0.6151838,"math_prob":0.9602183,"size":987,"snap":"2022-40-2023-06","text_gpt3_token_len":260,"char_repetition_ratio":0.16073245,"word_repetition_ratio":0.0,"special_character_ratio":0.29078013,"punctuation_ratio":0.21568628,"nsfw_num_words":0,"has_unicode_error":false,"mat... |
https://robotics.stackexchange.com/questions/18350/sensor-fusion-to-calculate-joint-angles-between-segments-of-a-robot-arm-using-im | [
"# Sensor fusion to calculate joint angles between segments of a robot arm using IMU data\n\nI have an IMU attached to each of the segments of a robotic arm, which gives me accelerometer and gyroscope data. My goal is to first of all improve the quality of the sensor readings and subsequently get the angles of each... | [
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] | {"ft_lang_label":"__label__en","ft_lang_prob":0.9392382,"math_prob":0.83341396,"size":661,"snap":"2020-45-2020-50","text_gpt3_token_len":141,"char_repetition_ratio":0.13089803,"word_repetition_ratio":0.034782607,"special_character_ratio":0.21028744,"punctuation_ratio":0.11678832,"nsfw_num_words":0,"has_unicode_error":f... |
http://ovragard.se/organic-chemical-jbu/e755c5-box-plot-example | [
"We use the data set \"mtcars\" available in the R environment to create a basic boxplot. Intellspot.com is one hub for everyone involved in the data space – from data scientists to marketers and business managers. Even when box plots can be created, advanced options like adding notches or changing whisker definiti... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.8718486,"math_prob":0.95500314,"size":24480,"snap":"2021-04-2021-17","text_gpt3_token_len":5481,"char_repetition_ratio":0.14222094,"word_repetition_ratio":0.13593134,"special_character_ratio":0.22614379,"punctuation_ratio":0.118633665,"nsfw_num_words":0,"has_unicode_error... |
https://www.bartleby.com/solution-answer/chapter-72-problem-70e-calculus-mindtap-course-list-8th-edition/9781285740621/a-finite-fourier-series-is-given-by-the-sum-fxn1nansinnxa1sinxa2sin2xansinnx-show-that/95c3a1c9-9407-11e9-8385-02ee952b546e | [
"",
null,
"",
null,
"",
null,
"Chapter 7.2, Problem 70E\n\nChapter\nSection\nTextbook Problem\n\n# A finite Fourier series is given by the sum f ( x ) = ∑ n = 1 N a n sin n x = a 1 sin x + a 2 sin 2 x + ... + a N sin N x Show that the mth coefficient a m is given by the formula a m = 1 π ∫ − π ... | [
null,
"https://www.bartleby.com/static/search-icon-white.svg",
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"https://www.bartleby.com/static/close-grey.svg",
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null,
"https://www.bartleby.com/static/logo.svg",
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] | {"ft_lang_label":"__label__en","ft_lang_prob":0.668291,"math_prob":0.9983005,"size":2219,"snap":"2019-43-2019-47","text_gpt3_token_len":471,"char_repetition_ratio":0.17878103,"word_repetition_ratio":0.10600707,"special_character_ratio":0.15953133,"punctuation_ratio":0.08571429,"nsfw_num_words":0,"has_unicode_error":fal... |
http://spankbush.com/system-of-equations-worksheet/ | [
"# System Of Equations Worksheet\n\n## System Of Equations Worksheet",
null,
"Inspirational Graphing Data Worksheet Answers from System Of Equations Worksheet\n, from: duboismuseumassociation.org",
null,
"Worksheet 50 Inspirational e Step Equations Worksheet Ideas e from System Of Equations Worksheet\n, fro... | [
null,
"http://spankbush.com/wp-content/uploads/system-of-equations-worksheet-for-system-of-equations-worksheet-22.jpg",
null,
"http://spankbush.com/wp-content/uploads/system-of-equations-worksheet-for-system-of-equations-worksheet-38.jpg",
null,
"http://spankbush.com/wp-content/uploads/system-of-equations... | {"ft_lang_label":"__label__en","ft_lang_prob":0.776911,"math_prob":0.9714183,"size":3543,"snap":"2019-13-2019-22","text_gpt3_token_len":820,"char_repetition_ratio":0.31732127,"word_repetition_ratio":0.22132796,"special_character_ratio":0.17471069,"punctuation_ratio":0.09874327,"nsfw_num_words":0,"has_unicode_error":fal... |
https://metanumbers.com/82470 | [
"82470 (number)\n\n82,470 (eighty-two thousand four hundred seventy) is an even five-digits composite number following 82469 and preceding 82471. In scientific notation, it is written as 8.247 × 104. The sum of its digits is 21. It has a total of 4 prime factors and 16 positive divisors. There are 21,984 positive i... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.6491072,"math_prob":0.98888445,"size":4547,"snap":"2022-05-2022-21","text_gpt3_token_len":1609,"char_repetition_ratio":0.118644066,"word_repetition_ratio":0.033873342,"special_character_ratio":0.45986363,"punctuation_ratio":0.07692308,"nsfw_num_words":0,"has_unicode_error... |
http://unitconverter.io/meters-per-square-second/decimeters-per-square-second/44.2 | [
"",
null,
"# 44.2 meters per square second to decimeters per square second\n\nto\n\n44.2 Meters per square second = 442 Decimeters per square second\n\nThis conversion of 44.2 meters per square second to decimeters per square second has been calculated by multiplying 44.2 meters per square second by 10 and the ... | [
null,
"http://unitconverter.io/img/acceleration.png",
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.8297371,"math_prob":0.99981624,"size":414,"snap":"2019-13-2019-22","text_gpt3_token_len":93,"char_repetition_ratio":0.31707317,"word_repetition_ratio":0.15625,"special_character_ratio":0.2294686,"punctuation_ratio":0.067567565,"nsfw_num_words":0,"has_unicode_error":false,... |
https://answers.everydaycalculation.com/lcm/420-490 | [
"Solutions by everydaycalculation.com\n\n## What is the LCM of 420 and 490?\n\nThe lcm of 420 and 490 is 2940.\n\n#### Steps to find LCM\n\n1. Find the prime factorization of 420\n420 = 2 × 2 × 3 × 5 × 7\n2. Find the prime factorization of 490\n490 = 2 × 5 × 7 × 7\n3. Multiply each factor the greater number of time... | [
null,
"https://answers.everydaycalculation.com/mathstep-app-icon.png",
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.68855923,"math_prob":0.997831,"size":539,"snap":"2020-34-2020-40","text_gpt3_token_len":181,"char_repetition_ratio":0.13084112,"word_repetition_ratio":0.0,"special_character_ratio":0.45640075,"punctuation_ratio":0.078431375,"nsfw_num_words":0,"has_unicode_error":false,"ma... |
https://meniporat.blogspot.com/2018/02/ | [
"## יום שישי, 23 בפברואר 2018\n\n### Sum only even numbers in a range with SUMPRODUCT\n\nSum only even numbers in a range with SUMPRODUCT\n\nSuppose we want to sum only the even numbers in the range:\nF3:F21\n\nThere are, at least, four possible solutions:\n\n=SUMPRODUCT(F3:F21,(MOD(F3:F21,2)=0)/2*2)\n\n=SUMPRODUCT... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.7929349,"math_prob":0.9980849,"size":2101,"snap":"2021-31-2021-39","text_gpt3_token_len":625,"char_repetition_ratio":0.19647115,"word_repetition_ratio":0.07096774,"special_character_ratio":0.3012851,"punctuation_ratio":0.16877638,"nsfw_num_words":0,"has_unicode_error":fal... |
https://rveryday.wordpress.com/category/r/ | [
"# Comparing a MySQL Query with a Data Table in R\n\nData tables are becoming an increasingly popular way of working with data sets in R. The syntax can become rather complex, but the framework is much faster and more flexible than other methods. The basic structure of a data table, though, if fairly intuitive–as i... | [
null,
"https://rveryday.files.wordpress.com/2016/12/profs1.jpg",
null,
"https://rveryday.files.wordpress.com/2016/12/profs2.jpg",
null,
"https://rveryday.files.wordpress.com/2016/12/profs31.jpg",
null,
"https://rveryday.files.wordpress.com/2016/12/profs4.jpg",
null,
"https://rveryday.files.wordpre... | {"ft_lang_label":"__label__en","ft_lang_prob":0.85184383,"math_prob":0.94150674,"size":3957,"snap":"2019-51-2020-05","text_gpt3_token_len":883,"char_repetition_ratio":0.15102454,"word_repetition_ratio":0.047477745,"special_character_ratio":0.23654284,"punctuation_ratio":0.11308768,"nsfw_num_words":3,"has_unicode_error"... |
https://puzzling.stackexchange.com/questions/23991/the-ice-cream-cake-process | [
"# The Ice Cream Cake Process\n\nYou have a circular ice cream cake, with pink icing on top, and the brown chocolate interior showing when looked at from beneath.\n\nLet $x$ be a fixed real number. Over and over, you cut a $x^\\circ$ slice from the cake, turn it over, and insert it back in. (Since this is an ice cr... | [
null,
"https://i.stack.imgur.com/zXvEx.png",
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.9085914,"math_prob":0.9984836,"size":2133,"snap":"2019-51-2020-05","text_gpt3_token_len":577,"char_repetition_ratio":0.1263504,"word_repetition_ratio":0.0,"special_character_ratio":0.27707455,"punctuation_ratio":0.116883114,"nsfw_num_words":0,"has_unicode_error":false,"ma... |
https://scicomp.stackexchange.com/questions/27617/total-distance-between-points-on-a-grid | [
"# Total distance between points on a grid\n\nI have $n$ points that form a grid with empty space and I need to find an algorithm that would calculate the total distance of those points with time complexity lower than $O(n^2)$.\n\na grid with $n=5$ could be represented as a matrix:\n\n$$\\begin{matrix} 0 & 0 & 1 \\... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.8680014,"math_prob":0.9999629,"size":1518,"snap":"2023-14-2023-23","text_gpt3_token_len":460,"char_repetition_ratio":0.20211361,"word_repetition_ratio":0.038314175,"special_character_ratio":0.34453228,"punctuation_ratio":0.12721893,"nsfw_num_words":0,"has_unicode_error":f... |
https://www.cyberithub.com/linkedlist-java-examples/ | [
"# Useful LinkedList Java(v1.8) Programming Examples\n\nIn this tutorial, I will take you through LinkedList Java Programming Examples. A Linked List considered as data structure similar to any other data structures like arrays, stacks and queues.\n\nLinked List will have three major parts:-\nb)Nodes\nc)Tail\n\nEve... | [
null,
"https://www.cyberithub.com/wp-content/uploads/2020/02/linken.jpg",
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.5246481,"math_prob":0.50256115,"size":5173,"snap":"2023-40-2023-50","text_gpt3_token_len":1229,"char_repetition_ratio":0.17295416,"word_repetition_ratio":0.34760052,"special_character_ratio":0.2586507,"punctuation_ratio":0.18207547,"nsfw_num_words":0,"has_unicode_error":f... |
https://www.math.uni-bielefeld.de/LAG/man/249.html | [
"Alexander Sivatski: On property $D(2)$ and common splitting field of two biquaternion algebras\n\nsivatsky@AS3476.spb.edu\n\nSubmission: 2007, Apr 15\n\nLet $F$ be a field of characteristic $\\not= 2$. We say that $F$ has property $D(2)$ if for any quadratic extension $L/F$ and any two binary quadratic forms over ... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.7670212,"math_prob":0.99972004,"size":912,"snap":"2019-26-2019-30","text_gpt3_token_len":274,"char_repetition_ratio":0.109030835,"word_repetition_ratio":0.0,"special_character_ratio":0.30921054,"punctuation_ratio":0.145,"nsfw_num_words":0,"has_unicode_error":false,"math_p... |
https://www.jmp.com/support/help/en/15.2/jmp/overview-of-the-fit-proportional-hazards-platforms.shtml | [
"Reliability and Survival Methods > Fit Proportional Hazards > Overview of the Fit Proportional Hazards Platforms\nPublication date: 08/13/2020\n\n# Overview of the Fit Proportional Hazards Platforms\n\nThe proportional hazards model is a special semiparametric regression model proposed by D. R. Cox (1972) to exami... | [
null,
"https://www.jmp.com/support/help/en/15.2/jmp/images/1-681.png",
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.8487725,"math_prob":0.96031886,"size":1393,"snap":"2020-34-2020-40","text_gpt3_token_len":269,"char_repetition_ratio":0.14470842,"word_repetition_ratio":0.009708738,"special_character_ratio":0.18880115,"punctuation_ratio":0.09243698,"nsfw_num_words":0,"has_unicode_error":... |
https://www.jobilize.com/online/course/1-2-conditional-probabilities-and-bayes-rule-by-openstax?qcr=www.quizover.com | [
"# 1.2 Conditional probabilities and bayes' rule\n\n Page 1 / 1\nThis module introduces conditional probabilities and Bayes' rule.\n\nIf $A$ and $B$ are two separate but possibly dependent random events, then:\n\n• Probability of $A$ and $B$ occurring together = $(,(A, B))$\n• The conditional probability of $A$ , g... | [
null,
"https://www.jobilize.com/quiz/thumb/professional-writing-mcq-quiz-by-mary-morley-cohen.png;jsessionid=1VDlJOClRrDpxqAf3LMEuo6ogeu0j6ojGdFcN3Ik.condor3363",
null,
"https://www.jobilize.com/quiz/thumb/kira-kira-test-quiz-by-briana-knowl.png;jsessionid=1VDlJOClRrDpxqAf3LMEuo6ogeu0j6ojGdFcN3Ik.condor3363",... | {"ft_lang_label":"__label__en","ft_lang_prob":0.9011649,"math_prob":0.9965045,"size":6179,"snap":"2019-35-2019-39","text_gpt3_token_len":1405,"char_repetition_ratio":0.13020243,"word_repetition_ratio":0.011278195,"special_character_ratio":0.19873767,"punctuation_ratio":0.0989673,"nsfw_num_words":0,"has_unicode_error":f... |
https://www.scribd.com/document/60394716/Starters | [
"You are on page 1of 10\n\n# Module 8\n\n## Three-phase Induction Motor\n\nVersion 2 EE IIT, Kharagpur\n\nLesson 33\nDifferent Types of Starters for Induction Motor (IM)\nVersion 2 EE IIT, Kharagpur\n\nInstructional Objectives\nNeed of using starters for Induction motor Two (Star-Delta and Auto-transformer) types o... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.93171865,"math_prob":0.98219234,"size":11127,"snap":"2019-35-2019-39","text_gpt3_token_len":2614,"char_repetition_ratio":0.19104558,"word_repetition_ratio":0.086519115,"special_character_ratio":0.24031635,"punctuation_ratio":0.12728082,"nsfw_num_words":0,"has_unicode_erro... |
https://zbmath.org/?q=an:0922.32023 | [
"# zbMATH — the first resource for mathematics\n\nMultiplicity of polynomials on trajectories of polynomial vector fields in $$\\mathbb{C}^3$$. (English) Zbl 0922.32023\nJakubczyk, Bronisław (ed.) et al., Singularities symposium – Łojasiewicz 70. Papers presented at the symposium on singularities on the occasion of... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.7504937,"math_prob":0.9956821,"size":1378,"snap":"2021-31-2021-39","text_gpt3_token_len":416,"char_repetition_ratio":0.101892285,"word_repetition_ratio":0.0,"special_character_ratio":0.30043542,"punctuation_ratio":0.18631178,"nsfw_num_words":0,"has_unicode_error":false,"m... |
https://www.geeksforgeeks.org/c-sharp-how-to-check-whether-a-list-contains-a-specified-element/ | [
"Open In App\n\n# C# | How to check whether a List contains a specified element\n\nList<T>.Contains(T) Method is used to check whether an element is in the List<T> or not. Properties of List:\n\n• It is different from the arrays. A list can be resized dynamically but arrays cannot.\n• List class can accept null as ... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.55073094,"math_prob":0.4533391,"size":1869,"snap":"2023-40-2023-50","text_gpt3_token_len":468,"char_repetition_ratio":0.1844504,"word_repetition_ratio":0.08955224,"special_character_ratio":0.25093633,"punctuation_ratio":0.2,"nsfw_num_words":0,"has_unicode_error":false,"ma... |
https://htends2infinity.wordpress.com/2008/12/14/the-circle-2/ | [
"## The Circle",
null,
"New Topic: Compound Angle Formulae, MiA Unit 2 Ch3\n\nBy the end of this topic you will:\n\n• know that the equation of the circle centre (a,b) and radius r is (x – a)² + (y – b)² = r²\n\n• know that x² + y² + 2gx + 2fy + c = 0 represents a circle centre (–g, –f) and\nradius r = √(g² + f... | [
null,
"https://i2.wp.com/www.invergordon.highland.sch.uk/images/mathsimages/circlegraph.png",
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.818603,"math_prob":0.99848765,"size":532,"snap":"2019-43-2019-47","text_gpt3_token_len":168,"char_repetition_ratio":0.13825758,"word_repetition_ratio":0.050847456,"special_character_ratio":0.33082706,"punctuation_ratio":0.0625,"nsfw_num_words":0,"has_unicode_error":false,... |
http://sett.ociweb.com/sett/settJul2011.html | [
"",
null,
"",
null,
"",
null,
"",
null,
"",
null,
"# GPU Computing with OpenCL\n\n## Introduction\n\nIn the past, processor vendors have increased performance by increasing CPU clock rates, but an upper limit is being reached due to factors such as the settling time of CPU circuitry and the diss... | [
null,
"http://sett.ociweb.com/sett/images/OCILogo2.png",
null,
"http://sett.ociweb.com/sett/images/Left.png",
null,
"http://sett.ociweb.com/sett/images/Middle.png",
null,
"http://sett.ociweb.com/sett/images/Right.png",
null,
"http://sett.ociweb.com/sett/images/SETT.png",
null,
"http://sett.oci... | {"ft_lang_label":"__label__en","ft_lang_prob":0.7179007,"math_prob":0.9043093,"size":35625,"snap":"2021-31-2021-39","text_gpt3_token_len":9407,"char_repetition_ratio":0.105218835,"word_repetition_ratio":0.039728682,"special_character_ratio":0.27525613,"punctuation_ratio":0.20752597,"nsfw_num_words":0,"has_unicode_error... |
https://registrar.ucsc.edu/catalog/programs-courses/faculty/math.html | [
"# Mathematics\n\n2018-19 General Catalog\n\n4111 McHenry\n(831) 459-2969\nhttp://www.math.ucsc.edu\n\n## Faculty and Professional Interests\n\n### Professor\n\nRobert Boltje\nGroup theory, representation theory, algebraic number theory\n\nBruce N. Cooperstein\nGroups of Lie type, incidence geometry\n\nSamit Dasgup... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.68853,"math_prob":0.87598145,"size":3068,"snap":"2019-43-2019-47","text_gpt3_token_len":677,"char_repetition_ratio":0.1383812,"word_repetition_ratio":0.0,"special_character_ratio":0.15580183,"punctuation_ratio":0.15837105,"nsfw_num_words":0,"has_unicode_error":false,"math... |
https://www.colorhexa.com/0f64f0 | [
"# #0f64f0 Color Information\n\nIn a RGB color space, hex #0f64f0 is composed of 5.9% red, 39.2% green and 94.1% blue. Whereas in a CMYK color space, it is composed of 93.8% cyan, 58.3% magenta, 0% yellow and 5.9% black. It has a hue angle of 217.3 degrees, a saturation of 88.2% and a lightness of 50%. #0f64f0 colo... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.5483241,"math_prob":0.80678,"size":3694,"snap":"2019-43-2019-47","text_gpt3_token_len":1700,"char_repetition_ratio":0.124661244,"word_repetition_ratio":0.011111111,"special_character_ratio":0.55441254,"punctuation_ratio":0.23634337,"nsfw_num_words":0,"has_unicode_error":f... |
https://www.colorhexa.com/5c8f5b | [
"# #5c8f5b Color Information\n\nIn a RGB color space, hex #5c8f5b is composed of 36.1% red, 56.1% green and 35.7% blue. Whereas in a CMYK color space, it is composed of 35.7% cyan, 0% magenta, 36.4% yellow and 43.9% black. It has a hue angle of 118.8 degrees, a saturation of 22.2% and a lightness of 45.9%. #5c8f5b ... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.55721265,"math_prob":0.74152565,"size":3723,"snap":"2023-40-2023-50","text_gpt3_token_len":1753,"char_repetition_ratio":0.11992471,"word_repetition_ratio":0.011049724,"special_character_ratio":0.5466022,"punctuation_ratio":0.23730685,"nsfw_num_words":0,"has_unicode_error"... |
https://metanumbers.com/1278428 | [
"# 1278428 (number)\n\n1,278,428 (one million two hundred seventy-eight thousand four hundred twenty-eight) is an even seven-digits composite number following 1278427 and preceding 1278429. In scientific notation, it is written as 1.278428 × 106. The sum of its digits is 32. It has a total of 3 prime factors and 6 ... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.6266794,"math_prob":0.9830861,"size":4733,"snap":"2021-43-2021-49","text_gpt3_token_len":1686,"char_repetition_ratio":0.12137873,"word_repetition_ratio":0.03402367,"special_character_ratio":0.46397632,"punctuation_ratio":0.08468244,"nsfw_num_words":0,"has_unicode_error":f... |
https://scicomp.stackexchange.com/questions/350/what-should-be-the-criteria-for-accepting-rejecting-singular-values | [
"# What should be the criteria for accepting/rejecting singular values?\n\nI am solving a system using singular value decomposition. The singular values (before scaling) are:\n\n1.82277e+29\n1.95011e+27\n1.15033e+23\n1.45291e+21\n4.79336e+17\n7.48116e+15\n8.31087e+12\n1.71838e+11\n5.63232e+08\n2.17863e+08\n9.02783e... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.87706226,"math_prob":0.98384094,"size":1479,"snap":"2019-51-2020-05","text_gpt3_token_len":496,"char_repetition_ratio":0.098305084,"word_repetition_ratio":0.0,"special_character_ratio":0.4016227,"punctuation_ratio":0.1374269,"nsfw_num_words":0,"has_unicode_error":false,"m... |
https://math.stackexchange.com/questions/3477179/why-is-left-frac-partial-partial-x-i-rightf-left-frac-partial-f-p | [
"# Why is $\\left(\\frac{\\partial}{\\partial x_i}\\right)f = \\left(\\frac{\\partial f}{\\partial x_i}\\right)$\n\ni'm currently reading An Introduction to Morse Theory by Yukio Matsumoto and on p.62 it says\n\nA vector field itself is sort of a differential operator, since it assigns to each point a \"tangent vec... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.8488459,"math_prob":0.99904823,"size":676,"snap":"2020-24-2020-29","text_gpt3_token_len":200,"char_repetition_ratio":0.19345239,"word_repetition_ratio":0.0,"special_character_ratio":0.295858,"punctuation_ratio":0.048387095,"nsfw_num_words":0,"has_unicode_error":false,"mat... |
https://www.nag.com/numeric/nl/nagdoc_27/flhtml/e04/e04dgf.html | [
"# NAG FL Interfacee04dgf (uncon_conjgrd_comp_old)e04dga (uncon_conjgrd_comp)\n\nNote: this routine is deprecated. Replaced by e04kff.\nthis routine uses optional parameters to define choices in the problem specification and in the details of the algorithm. If you wish to use default settings for all of the option... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.7332938,"math_prob":0.99262476,"size":27555,"snap":"2021-21-2021-25","text_gpt3_token_len":6678,"char_repetition_ratio":0.14638308,"word_repetition_ratio":0.1448493,"special_character_ratio":0.23200871,"punctuation_ratio":0.13078633,"nsfw_num_words":0,"has_unicode_error":... |
https://mathoverflow.net/questions/254315/matrix-inequality-with-orthogonal-matrices/254359 | [
"# matrix inequality with orthogonal matrices\n\nI would like to know if for $A,B\\in SO(3)$ the inequality $$\\|AB-BA\\|_F\\leq \\|A-I\\|_F\\|B-I\\|_F$$ holds, where $\\|\\cdot\\|_F$ denotes the Frobenius norm and $I$ the identity matrix. Using the identity $$AB-BA=(A-I)(B-I)-(B-I)(A-I)$$ one can show the inequali... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.73395485,"math_prob":0.9999777,"size":1181,"snap":"2019-35-2019-39","text_gpt3_token_len":431,"char_repetition_ratio":0.11979609,"word_repetition_ratio":0.0,"special_character_ratio":0.38357323,"punctuation_ratio":0.0858209,"nsfw_num_words":0,"has_unicode_error":false,"ma... |
https://salu133445.github.io/muspy/metrics.html | [
"# Metrics¶\n\nMusPy provides several objective metrics proposed in the literature, summarized as follows.\n\n• Pitch-related metrics: pitch_range, n_pitches_used, n_pitch_classes_used, polyphony, polyphony rate, pitch-in-scale rate, scale consistency, pitch entropy and pitch class entropy.\n\n• Rhythm-related metr... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.83509725,"math_prob":0.97796893,"size":1549,"snap":"2021-43-2021-49","text_gpt3_token_len":350,"char_repetition_ratio":0.12880258,"word_repetition_ratio":0.0,"special_character_ratio":0.20981278,"punctuation_ratio":0.15116279,"nsfw_num_words":0,"has_unicode_error":false,"... |
https://metanumbers.com/66081 | [
"# 66081 (number)\n\n66,081 (sixty-six thousand eighty-one) is an odd five-digits composite number following 66080 and preceding 66082. In scientific notation, it is written as 6.6081 × 104. The sum of its digits is 21. It has a total of 2 prime factors and 4 positive divisors. There are 44,052 positive integers (u... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.6163596,"math_prob":0.98162824,"size":4558,"snap":"2021-43-2021-49","text_gpt3_token_len":1630,"char_repetition_ratio":0.119235836,"word_repetition_ratio":0.028315946,"special_character_ratio":0.4526108,"punctuation_ratio":0.0749354,"nsfw_num_words":0,"has_unicode_error":... |
https://www.sanbiaoge.com/p/8195358 | [
"#",
null,
"上传用户 金美兰 文档格式",
null,
"doc 文档价格 1.8 元 文档大小 368K 文档页数 9 页\n\ndoc 课时梯级作业 十七化学能与热能 (45分钟 100分) 一、选择题(本题包括9小题,每题6分,共54分) 1.(2018·十堰模拟)根据如图所示的反应判断下列说法中错误的是 ( ) A.CO2(g)和CaO(s)的总能量大于CaCO3(s)的总能量 B.该反应的焓变大于零 C.该反应中有离子键断裂也有共价键断裂,化学键断裂吸收能量,化学键生成放出能量 D.由该反应可推出凡是需要加热才发生的反应均为吸热反应 【解析】选D。因为碳酸钙受热分解是吸热反应,CO2(... | [
null,
"https://www.sanbiaoge.com/logo.png",
null,
"https://www.sanbiaoge.com/word.png",
null,
"http://118.123.15.179/FlexPaper/FileRoot/2019-8\\10\\870d9977-b664-41a1-b7a0-e0dad594063d/870d9977-b664-41a1-b7a0-e0dad594063d1.gif",
null,
"http://118.123.15.179/FlexPaper/FileRoot/2019-8\\10\\870d9977-b664... | {"ft_lang_label":"__label__zh","ft_lang_prob":0.83515924,"math_prob":0.9979677,"size":10813,"snap":"2020-24-2020-29","text_gpt3_token_len":9735,"char_repetition_ratio":0.23535942,"word_repetition_ratio":0.0,"special_character_ratio":0.33321002,"punctuation_ratio":0.17928676,"nsfw_num_words":0,"has_unicode_error":false,... |
http://codeforces.com/blog/entry/10157 | [
"### dalex's blog\n\nBy dalex, 6 years ago, translation,",
null,
",",
null,
"And here is the problem analysis.\n\n#### A div 2: 378A - Playing with Dice\n\nMake three counters: for wins of both players and for a draw. Iterate over all six ways how they can throw a dice. For each way determine who wins or th... | [
null,
"http://sta.codeforces.com/s/28040/images/flags/24/gb.png",
null,
"http://sta.codeforces.com/s/28040/images/icons/paperclip-16x16.png",
null,
"https://espresso.codeforces.com/00321bffa4d743da2f6ff51977d30fab2d36ca65.png",
null,
"https://espresso.codeforces.com/00321bffa4d743da2f6ff51977d30fab2d3... | {"ft_lang_label":"__label__en","ft_lang_prob":0.94316256,"math_prob":0.92018926,"size":8109,"snap":"2020-24-2020-29","text_gpt3_token_len":1882,"char_repetition_ratio":0.116718076,"word_repetition_ratio":0.0051513202,"special_character_ratio":0.236404,"punctuation_ratio":0.09074627,"nsfw_num_words":0,"has_unicode_error... |
https://www.esaral.com/q/show-that-the-average-value-of-radiant-flux-82868 | [
"# Show that the average value of radiant flux\n\nQuestion:\n\nShow that the average value of radiant flux density S over a single period T is given by S = 1/2cμ0 E02.\n\nSolution:\n\nRadiant flux density is given as\n\n$\\vec{S}=\\frac{1}{\\mu_{0}}(\\vec{E} \\times \\vec{B})=c^{2} \\epsilon_{0}(\\vec{E} \\times \\... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.6904921,"math_prob":0.99999726,"size":3492,"snap":"2022-40-2023-06","text_gpt3_token_len":948,"char_repetition_ratio":0.14736238,"word_repetition_ratio":0.85865724,"special_character_ratio":0.23224513,"punctuation_ratio":0.037199125,"nsfw_num_words":0,"has_unicode_error":... |
https://explore.openaire.eu/search/publication?articleId=project_eucl::59a5cf80f362593395eebad072796318 | [
"publication . Article . Other literature type . 1989\n\n# Truth table logic, with a survey of embeddability results.\n\nTennant, Neil;\nOpen Access\nAbstract\nWhat logic is barely justified on the basis of the «meanings» given to the connectives by the left-right readings of their truth tables? We set out a system... | [
null,
"https://explore.openaire.eu/search/assets/common-assets/unlock.svg",
null,
"https://explore.openaire.eu/search/assets/common-assets/unlock.svg",
null,
"https://explore.openaire.eu/search/assets/common-assets/question.svg",
null,
"https://explore.openaire.eu/search/assets/common-assets/lock.svg"... | {"ft_lang_label":"__label__en","ft_lang_prob":0.6902764,"math_prob":0.81410885,"size":466,"snap":"2020-45-2020-50","text_gpt3_token_len":121,"char_repetition_ratio":0.084415585,"word_repetition_ratio":0.47058824,"special_character_ratio":0.2746781,"punctuation_ratio":0.2413793,"nsfw_num_words":0,"has_unicode_error":fal... |
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