URL stringlengths 15 1.68k | text_list listlengths 1 199 | image_list listlengths 1 199 | metadata stringlengths 1.19k 3.08k |
|---|---|---|---|
https://answers.everydaycalculation.com/percent-of/4-425 | [
"# Answers\n\nSolutions by everydaycalculation.com\n\n## What is 4 percent of 425?\n\n4% of 425 is 17\n\n#### Working out 4% of 425\n\n1. Write 4% as 4/100\n2. Since, finding the fraction of a number is same as multiplying the fraction with the number, we have\n4/100 of 425 = 4/100 × 425\n3. Therefore, the answer i... | [
null,
"https://answers.everydaycalculation.com/mathstep-app-icon.png",
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.91810143,"math_prob":0.96701044,"size":463,"snap":"2021-04-2021-17","text_gpt3_token_len":149,"char_repetition_ratio":0.18518518,"word_repetition_ratio":0.0,"special_character_ratio":0.36717063,"punctuation_ratio":0.06185567,"nsfw_num_words":0,"has_unicode_error":false,"m... |
https://physics.stackexchange.com/questions/206210/otto-and-carnot-efficiency-comparison | [
"Otto and Carnot efficiency comparison\n\nLets say both engines operate between same temperature limits.\n\nCarnot eff: $$e_\\text{Carnot} = 1-\\frac{T_L}{T_H}$$ Otto eff: $$e_\\text{Otto} = 1-\\frac{T_4-T_1}{T_3-T_2}$$ assuming that for Otto cycle points are located as below on a P-V diagram: $$\\array{ 3 & 4 \\\\... | [
null,
"https://i.stack.imgur.com/eiroc.jpg",
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.8878643,"math_prob":0.9918106,"size":752,"snap":"2019-43-2019-47","text_gpt3_token_len":235,"char_repetition_ratio":0.118983954,"word_repetition_ratio":0.0,"special_character_ratio":0.3231383,"punctuation_ratio":0.08609272,"nsfw_num_words":0,"has_unicode_error":false,"mat... |
https://www.tutorialspoint.com/finding-inverse-hyperbolic-cosine-of-specified-number-in-golang | [
"# Finding Inverse Hyperbolic Cosine of Specified Number in Golang\n\nGolang is a statically typed, compiled programming language that is popular among developers for its simplicity, concurrency support, and garbage collection. In this article, we will discuss how to find the inverse hyperbolic cosine of a specifie... | [
null,
"https://www.tutorialspoint.com/static/images/library-cta.svg",
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.7151209,"math_prob":0.9883283,"size":2798,"snap":"2023-40-2023-50","text_gpt3_token_len":720,"char_repetition_ratio":0.16571224,"word_repetition_ratio":0.11157895,"special_character_ratio":0.2487491,"punctuation_ratio":0.11154599,"nsfw_num_words":0,"has_unicode_error":fal... |
https://excelbaby.com/learn/vba-len-function/ | [
"# Len function\n\nReturns a Long containing the number of characters in a string or the number of bytes required to store a variable.\n\n## Syntax\n\n`Len(string | varname)`\n\nThe Len function syntax has these parts:\n\nPart Description\nstring Any valid string expression. If string contains Null, Null is returne... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.6995583,"math_prob":0.8692797,"size":2489,"snap":"2022-40-2023-06","text_gpt3_token_len":599,"char_repetition_ratio":0.1472837,"word_repetition_ratio":0.08591885,"special_character_ratio":0.22740056,"punctuation_ratio":0.09936575,"nsfw_num_words":0,"has_unicode_error":fal... |
https://school.stmarysparish.org/math-grade8 | [
"# Math\n\n• ## Algebra 1\n\nPresently, Saint Mary School is in the early stages of a curriculum review cycle. Saint Mary School has adopted the rigorous academic curriculum set forth by the Archdiocese of Hartford. In accordance with our mission, the Archdiocese of Hartford Curriculum reflects a continuum of learn... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.8891773,"math_prob":0.95261467,"size":2755,"snap":"2023-40-2023-50","text_gpt3_token_len":521,"char_repetition_ratio":0.13340603,"word_repetition_ratio":0.0,"special_character_ratio":0.17931035,"punctuation_ratio":0.10762332,"nsfw_num_words":0,"has_unicode_error":false,"m... |
https://gambling-promotion.codes/what-is-odd-betting/ | [
"# What is Odd in Betting?\n\nCommercial content | New Customers Only | 18+\n\nThe odds are used to calculate the profit associated with a bet. It is the inverse of the probability of an outcome. The lower the odds, the higher the probability of an outcome: Odds = 1 / Probability.\n\n## The different types of odds\... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.8397253,"math_prob":0.9693586,"size":1120,"snap":"2022-40-2023-06","text_gpt3_token_len":268,"char_repetition_ratio":0.14784946,"word_repetition_ratio":0.05882353,"special_character_ratio":0.25714287,"punctuation_ratio":0.114035085,"nsfw_num_words":0,"has_unicode_error":f... |
http://www.global-sci.org/intro/article_detail/getBib?article_id=179 | [
"@Article{AAMM-3-470, author = {Fayssal Benkhaldoun, Mohammed Seaïd and Slah Sahmim}, title = {Mathematical Development and Verification of a Finite Volume Model for Morphodynamic Flow Applications}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2011}, volume = {3}, number = {4}, pages = {470--... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.8801546,"math_prob":0.91854155,"size":1508,"snap":"2020-45-2020-50","text_gpt3_token_len":325,"char_repetition_ratio":0.11037234,"word_repetition_ratio":0.0,"special_character_ratio":0.2254642,"punctuation_ratio":0.13043478,"nsfw_num_words":0,"has_unicode_error":false,"ma... |
https://www.allkidsnetwork.com/best/top-4th-grade-multiplication-kids-activities | [
"## Multiplication Word Problems Worksheet\n\nUse multiplication to solve the 5 word problems in this worksheet.\n\n• Tuesday, April 25, 2017\n• All Kids Network\n• 1,141 Visits\n\n## Simple Multiplication Word Problems Worksheet\n\nUse simple multiplication to solve the 5 word problems.\n\n• Tuesday, April 25, 201... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.8338849,"math_prob":0.7353201,"size":500,"snap":"2020-45-2020-50","text_gpt3_token_len":84,"char_repetition_ratio":0.21370968,"word_repetition_ratio":0.16901408,"special_character_ratio":0.166,"punctuation_ratio":0.074074075,"nsfw_num_words":0,"has_unicode_error":false,"m... |
https://hackerranksolution.in/detectonlydupliucatesinalistamazon/ | [
"# Detect the Only Duplicate in a List - Amazon Top Interview Questions\n\n### Problem Statement :\n\n```You are given a list nums of length n + 1 picked from the range 1, 2, ..., n. By the pigeonhole principle, there must be a duplicate. Find and return it. There is guaranteed to be exactly one duplicate.\n\nBonus... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.8749174,"math_prob":0.9710435,"size":3645,"snap":"2023-40-2023-50","text_gpt3_token_len":908,"char_repetition_ratio":0.10958528,"word_repetition_ratio":0.005891016,"special_character_ratio":0.2617284,"punctuation_ratio":0.14496644,"nsfw_num_words":0,"has_unicode_error":fa... |
https://www.ques10.com/p/1804/mechanical-vibrations-question-paper-dec-2013-me-1/ | [
"Question Paper: Mechanical Vibrations : Question Paper Dec 2013 - Mechanical Engineering (Semester 6) | Mumbai University (MU)\n2\n\n## Mechanical Vibrations - Dec 2013\n\n### Mechanical Engineering (Semester 6)\n\nTOTAL MARKS: 100\nTOTAL TIME: 3 HOURS\n(1) Question 1 is compulsory.\n(2) Attempt any four from the ... | [
null,
"https://i.imgur.com/zn4pUhg.png",
null,
"https://i.imgur.com/BrK9Bpq.png",
null,
"https://i.imgur.com/coLsl12.png",
null,
"https://i.imgur.com/hKqOm2Y.png",
null,
"https://i.imgur.com/7q70N6g.png",
null,
"https://i.imgur.com/5kQs5NV.png",
null,
"https://i.imgur.com/1nTR9oH.png",
n... | {"ft_lang_label":"__label__en","ft_lang_prob":0.88482803,"math_prob":0.9550269,"size":3610,"snap":"2019-35-2019-39","text_gpt3_token_len":924,"char_repetition_ratio":0.11758181,"word_repetition_ratio":0.009569378,"special_character_ratio":0.2628809,"punctuation_ratio":0.08815427,"nsfw_num_words":0,"has_unicode_error":f... |
http://chowkafat.net/Enumeration27.html | [
"# 點算的奧秘：非齊次遞歸關係的解\n\n《點算的奧秘：齊次遞歸關係的解》中，筆者介紹了求解「常系數一元 線性齊次遞歸關係」的方法，在本網頁筆者將介紹求解「常系數一元線性非齊次遞歸關係」的方法。在這裡首 先重溫「非齊次遞歸關係」的定義。當我們把一個「遞歸關係」寫成標準形式，即把含有an、 an−1 ...等的項統統移到等號左邊，並把其餘的項移到等號右邊後，如果在等號右邊的項不 等於0，則該「遞歸關係」是「非齊次」的。我們把這個在等號右邊的非零項稱為「非齊次遞歸關係」的「非齊 次部分」。\n\n「未定系數法」乃基於以下假設：「非齊次遞歸關係」的「特解」與該「遞歸關係」的「非齊次部分」具有相 同的形式，兩者僅在系數方面有差異。... | [
null,
"http://chowkafat.net/Picture/finger.gif",
null,
"http://chowkafat.net/Picture/homepage.gif",
null
] | {"ft_lang_label":"__label__zh","ft_lang_prob":0.92916745,"math_prob":1.0000097,"size":4707,"snap":"2019-13-2019-22","text_gpt3_token_len":5118,"char_repetition_ratio":0.1146077,"word_repetition_ratio":0.0416,"special_character_ratio":0.4172509,"punctuation_ratio":0.0034324944,"nsfw_num_words":0,"has_unicode_error":fals... |
https://brilliant.org/problems/abcd-5432/ | [
"ABCD 5432\n\nGiven 4 positive integers $a, b, c$ and $d$ such that $a^5 =b^4, c^3 = d^2$ and $c-a = 19$, what is the value of $d-b$?\n\n×"
] | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.6240605,"math_prob":1.0000099,"size":271,"snap":"2019-43-2019-47","text_gpt3_token_len":106,"char_repetition_ratio":0.13857678,"word_repetition_ratio":0.0,"special_character_ratio":0.38745388,"punctuation_ratio":0.26136363,"nsfw_num_words":0,"has_unicode_error":false,"mat... |
https://au.mathworks.com/help/simulink/slref/model_cmd.html | [
"# model\n\nExecute particular phase of simulation of model\n\n## Syntax\n\n```[sys,x0,str,ts] = model([],[],[],'sizes');\n[sys,x0,str,ts] = model([],[],[],'compile');\noutputs = model(t,x,u,'outputs');\nderivs = model(t,x,u,'derivs');\ndstates = model(t,x,u,'update');\nmodel([],[],[],'term');\n\n```\n\n## Descript... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.8277769,"math_prob":0.95659274,"size":2978,"snap":"2021-21-2021-25","text_gpt3_token_len":652,"char_repetition_ratio":0.14122394,"word_repetition_ratio":0.012875536,"special_character_ratio":0.21558093,"punctuation_ratio":0.13580246,"nsfw_num_words":0,"has_unicode_error":... |
https://www.proofwiki.org/wiki/Definition:Extended_Real_Number_Space | [
"# Definition:Topology on Extended Real Numbers\n\n## Definition\n\nLet $\\overline \\R$ denote the extended real numbers.\n\nThe (standard) topology on $\\overline \\R$ is the order topology $\\tau$ associated to the ordering on $\\overline \\R$.\n\n### Extended Real Number Space\n\nThe topological space $\\left({... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.8701783,"math_prob":0.98459524,"size":1667,"snap":"2022-40-2023-06","text_gpt3_token_len":384,"char_repetition_ratio":0.10583283,"word_repetition_ratio":0.16730037,"special_character_ratio":0.21715657,"punctuation_ratio":0.09477124,"nsfw_num_words":0,"has_unicode_error":f... |
https://www.pythonf.cn/read/14255 | [
"# 设计和历史常见问题-Python教程\n\n• 设计和历史常见问题\n\n• 为什么Python使用缩进来分组语句？\n\n• 为什么简单的算术运算得到奇怪的结果？\n\n• 为什么浮点计算不准确？\n\n• 为什么Python字符串是不可变的？\n\n• 为什么必须在方法定义和调用中显式使用“self”？\n\n• 为什么不能在表达式中赋值？\n\n• 为什么Python对某些功能（例如list.index()）使用方法来实现，而其他功能（例如len(List)）使用函数实现？\n\n• 为什么 join()是一个字符串方法而不是列表或元组方法？\n\n• 异常有多快？\n\n• 为什么Python中没有switch... | [
null,
"https://www.ls27.cn/public/banner/wpybanner-web.png",
null,
"https://www.pythonf.cn/public/photo/gongzhonghao.jpg",
null
] | {"ft_lang_label":"__label__zh","ft_lang_prob":0.9698547,"math_prob":0.94256943,"size":11819,"snap":"2021-04-2021-17","text_gpt3_token_len":8744,"char_repetition_ratio":0.07084215,"word_repetition_ratio":0.0,"special_character_ratio":0.22539978,"punctuation_ratio":0.1395655,"nsfw_num_words":0,"has_unicode_error":false,"... |
http://mauricio.resende.info/abstracts/gmissub.html | [
"Algorithm 786: FORTRAN Subroutines for Approximate Solution of Maximum Independent Set Problems using GRASP\n\nM. G. C. Resende, T. A. Feo, and S. H. Smith\n\nACM Transactions on Mathematical Software, vol. 24, pp. 386-394, 1998\n\nABSTRACT\n\nLet G = (V, E) be an undirected graph, where V and E are the sets of v... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.86251223,"math_prob":0.89468694,"size":958,"snap":"2021-21-2021-25","text_gpt3_token_len":241,"char_repetition_ratio":0.10796646,"word_repetition_ratio":0.0,"special_character_ratio":0.22546972,"punctuation_ratio":0.15979381,"nsfw_num_words":0,"has_unicode_error":false,"m... |
https://astarmathsandphysics.com/ib-physics-notes/measurements-units-uncertainty-and-principles/1347-simplifying-assumptions.html | [
"## Simplifying Assumptions\n\nThe world is complex. Every situation has many possible factors to take into account. Often however many of these possible factors are irrelevant and can be ignored. For example, we would not expect the temperature to greatly influence the acceleration due to gravity so can ignore thi... | [
null,
"https://astarmathsandphysics.com/component/jcomments/captcha/46736.html",
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.9063652,"math_prob":0.93807083,"size":1269,"snap":"2022-05-2022-21","text_gpt3_token_len":275,"char_repetition_ratio":0.10118577,"word_repetition_ratio":0.01923077,"special_character_ratio":0.19621749,"punctuation_ratio":0.05472637,"nsfw_num_words":0,"has_unicode_error":f... |
https://discourse.pymc.io/t/how-can-i-terminate-pm-sample-when-a-convergence-criterion-is-met-e-g-r-hat-1-05/9704 | [
"# How can I terminate pm.sample when a convergence criterion is met (e.g. r_hat < 1.05)\n\nHi all,\n\nI am wondering if the documentation page for Sample Callbacks is valid in PyMC version 4. I have tried reproducing the first example which simply terminates the sampler when the number of samples exceeds 100 (even... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.5792005,"math_prob":0.92674565,"size":2944,"snap":"2022-27-2022-33","text_gpt3_token_len":776,"char_repetition_ratio":0.13503401,"word_repetition_ratio":0.028735632,"special_character_ratio":0.3050272,"punctuation_ratio":0.22363636,"nsfw_num_words":0,"has_unicode_error":f... |
https://www.practically.com/studymaterial/blog/docs/class-6th/maths/rationally-part-1/ | [
"# rationally NCERT Questions\n\nNCERT TEXT BOOK EXERCISES\n\nEXERCISE-12.1\n\n1. There are 20 girls and 15 boys in a class.\n\n(a) What is the ratio of number of girls to the number of boys?\n\n(b) What is the ratio of number of girls to the total number of students in the class?\n\n1. Out of 30 students ... | [
null,
"https://www.practically.com/studymaterial/wp-content/uploads/2020/11/Picture1-14.png",
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.91126466,"math_prob":0.97713566,"size":5222,"snap":"2021-21-2021-25","text_gpt3_token_len":1589,"char_repetition_ratio":0.17133,"word_repetition_ratio":0.0757156,"special_character_ratio":0.33856758,"punctuation_ratio":0.13092369,"nsfw_num_words":0,"has_unicode_error":fal... |
https://engineering.stackexchange.com/tags/finite-element-method/hot | [
"# Tag Info\n\n### What is the difference between FEA and CFD?\n\nCFD (computational fluid dynamics) includes any numerical method used to solve fluid flow problems. FEA (finite element analysis) is one numerical method for solving partial differential equations, ...\n\n### Does welding two metal parts together inc... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.8926608,"math_prob":0.8835635,"size":8367,"snap":"2023-40-2023-50","text_gpt3_token_len":1893,"char_repetition_ratio":0.119574316,"word_repetition_ratio":0.049819496,"special_character_ratio":0.226485,"punctuation_ratio":0.13304184,"nsfw_num_words":0,"has_unicode_error":f... |
https://number.academy/5527 | [
"# Number 5527\n\nNumber 5,527 spell 🔊, write in words: five thousand, five hundred and twenty-seven . Ordinal number 5527th is said 🔊 and write: five thousand, five hundred and twenty-seventh. The meaning of number 5527 in Maths: Is Prime? Factorization and prime factors tree. The square root and cube root of 55... | [
null,
"https://numero.wiki/s/numeros-mayas/numero-maya-5527.png",
null,
"https://numero.wiki/s/senas/lenguaje-de-senas-numero-5.png",
null,
"https://numero.wiki/s/senas/lenguaje-de-senas-numero-5.png",
null,
"https://numero.wiki/s/senas/lenguaje-de-senas-numero-2.png",
null,
"https://numero.wiki/s... | {"ft_lang_label":"__label__en","ft_lang_prob":0.6519924,"math_prob":0.9572688,"size":9717,"snap":"2022-05-2022-21","text_gpt3_token_len":3441,"char_repetition_ratio":0.16133018,"word_repetition_ratio":0.09380983,"special_character_ratio":0.37882063,"punctuation_ratio":0.15608466,"nsfw_num_words":0,"has_unicode_error":f... |
http://curious.astro.cornell.edu/people-and-astronomy/careers-in-astronomy/41-our-solar-system/the-earth/orbit/83-is-the-distance-from-the-earth-to-the-sun-changing-advanced?tmpl=component&print=1 | [
"## Is the distance from the Earth to the Sun changing? (Advanced)\n\nIs the distance from the Earth to the Sun increasing, and if so, by how much in kilometers per (Earth) year?\n\nFirst I should say that the Earth's orbit around the Sun is elliptical, not perfectly circular, so the Earth-Sun distance is changing ... | [
null,
"http://curious.astro.cornell.edu/images/people/cspringob.jpg",
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.9670976,"math_prob":0.9655244,"size":2073,"snap":"2021-43-2021-49","text_gpt3_token_len":468,"char_repetition_ratio":0.14644755,"word_repetition_ratio":0.0,"special_character_ratio":0.22865413,"punctuation_ratio":0.09677419,"nsfw_num_words":0,"has_unicode_error":false,"ma... |
https://dzone.com/articles/a-polyglots-guide-to-multiple-dispatch | [
"{{announcement.body}}\n{{announcement.title}}\n\n# A Polyglot's Guide to Multiple Dispatch – Part 1\n\nDZone 's Guide to\n\n# A Polyglot's Guide to Multiple Dispatch – Part 1\n\n### What is multiple dispatch and what problems does it solve?\n\n· Performance Zone ·\nFree Resource\n\nComment (2)\n\nSave\n{{ articles... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.87722516,"math_prob":0.8426742,"size":24613,"snap":"2019-51-2020-05","text_gpt3_token_len":5447,"char_repetition_ratio":0.16323297,"word_repetition_ratio":0.092057765,"special_character_ratio":0.23109739,"punctuation_ratio":0.12810194,"nsfw_num_words":0,"has_unicode_error... |
https://brilliant.org/practice/convert-cartesian-coordinates-to-polar/?subtopic=parametric-equations-calculus&chapter=polar-equations | [
"",
null,
"Calculus\n\n# Converting Cartesian Coordinates to Polar\n\nThe point $(5, 5\\sqrt{3})$ in Cartesian coordinates can be expressed as $(r, \\theta^{\\circ})$ in polar coordinates, where $r$ is a positive real number and $0 \\leq \\theta \\leq 180$. What is the value of $r+ \\theta$?\n\nThe point $(-21\... | [
null,
"https://ds055uzetaobb.cloudfront.net/brioche/chapter/Polar%20Equations-jQlloi.png",
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.89336395,"math_prob":1.0000074,"size":849,"snap":"2021-21-2021-25","text_gpt3_token_len":174,"char_repetition_ratio":0.15147929,"word_repetition_ratio":0.7,"special_character_ratio":0.21319199,"punctuation_ratio":0.16,"nsfw_num_words":0,"has_unicode_error":false,"math_pro... |
https://zh.wikipedia.org/zh-my/%E4%B8%89%E9%87%8D%E7%A7%AF | [
"# 三重积\n\n## 标量三重积\n\n### 定义\n\n$\\mathbf {a}$",
null,
"$\\mathbf {b}$",
null,
"$\\mathbf {c}$",
null,
"为三个向量，则标量三重积的定义为\n\n$\\mathbf {a} \\cdot (\\mathbf {b} \\times \\mathbf {c} )$",
null,
"### 特性\n\n$\\mathbf {a} =a_{1}\\mathbf {i} +a_{2}\\mathbf {j} +a_{3}\\mathbf {k}$",
null,
"$\\mathbf {b}... | [
null,
"https://wikimedia.org/api/rest_v1/media/math/render/svg/1a957216653a9ee0d0133dcefd13fb75e36b8b9d",
null,
"https://wikimedia.org/api/rest_v1/media/math/render/svg/13ebf4628a1adf07133a6009e4a78bdd990c6eb9",
null,
"https://wikimedia.org/api/rest_v1/media/math/render/svg/8798d172f59e21f2ce193a3118d4063... | {"ft_lang_label":"__label__zh","ft_lang_prob":0.9956096,"math_prob":1.0000095,"size":900,"snap":"2020-10-2020-16","text_gpt3_token_len":863,"char_repetition_ratio":0.09709822,"word_repetition_ratio":0.04347826,"special_character_ratio":0.25666666,"punctuation_ratio":0.0,"nsfw_num_words":0,"has_unicode_error":false,"mat... |
https://trycolors.com/colors/87764B | [
"#87764B\n\nHex #87764B has hue angle of 43 degrees, value = 53 and saturation = 44. #87764B can be obtained by mixing 4 colors: 24% of RED, 24% of GREEN, 29% of WHITE, 24% of BLACK. Click \"ADJUST\" button to move #87764B to the mixer and play with it.\n\n#87764B\n24%\n4\nRED\n24%\n4\nGREEN\n29%\n5\nWHITE\n24%\n4\... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.877874,"math_prob":0.9450542,"size":618,"snap":"2022-05-2022-21","text_gpt3_token_len":173,"char_repetition_ratio":0.14820847,"word_repetition_ratio":0.0,"special_character_ratio":0.32038835,"punctuation_ratio":0.12592593,"nsfw_num_words":0,"has_unicode_error":false,"math... |
http://book.caltech.edu/bookforum/printthread.php?s=897e22ac247c95c48aef598b32157e5c&t=4196 | [
"LFD Book Forum (http://book.caltech.edu/bookforum/index.php)\n- Chapter 1 - The Learning Problem (http://book.caltech.edu/bookforum/forumdisplay.php?f=108)\n\n vsthakur 08-10-2012 06:56 PM\n\nProblem 1.10 : Expected Off Training Error\n\nHi,\nIf I got it right, in a noiseless setting, for a fixed D, if all f are... | [
null,
"http://book.caltech.edu/vblatex/img/8fa14cdd754f91cc6554c9e71929cce7-1.gif",
null,
"http://book.caltech.edu/vblatex/img/45954a868d988e347901fd94e30df982-1.gif",
null,
"http://book.caltech.edu/vblatex/img/a0a270dcd75e120e62f47591bdde115b-1.gif",
null,
"http://book.caltech.edu/vblatex/img/45954a8... | {"ft_lang_label":"__label__en","ft_lang_prob":0.92474717,"math_prob":0.9044766,"size":2654,"snap":"2020-10-2020-16","text_gpt3_token_len":600,"char_repetition_ratio":0.1,"word_repetition_ratio":0.052752294,"special_character_ratio":0.22230595,"punctuation_ratio":0.13307984,"nsfw_num_words":0,"has_unicode_error":false,"... |
https://jira.mariadb.org/browse/MDEV-12313 | [
"",
null,
"# Histograms with equal-width bins in MariaDB\n\nXMLWordPrintable\n\n#### Details\n\n•",
null,
"Task\n• Status: Open\n•",
null,
"Major\n• Resolution: Unresolved\n• None\n\n#### Description\n\nHistograms with equal-width bins are easy to construct using samples. For this it's enough\nto look t... | [
null,
"https://jira.mariadb.org/secure/projectavatar",
null,
"https://jira.mariadb.org/secure/viewavatar",
null,
"https://jira.mariadb.org/images/icons/priorities/major.svg",
null,
"https://jira.mariadb.org/secure/useravatar",
null,
"https://jira.mariadb.org/secure/useravatar",
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.8395836,"math_prob":0.98070157,"size":1982,"snap":"2023-40-2023-50","text_gpt3_token_len":469,"char_repetition_ratio":0.122851364,"word_repetition_ratio":0.011627907,"special_character_ratio":0.23915237,"punctuation_ratio":0.07908163,"nsfw_num_words":0,"has_unicode_error"... |
https://ncatlab.org/nlab/show/exceptional+spinors+and+division+algebras+--+table | [
"# nLab exceptional spinors and division algebras -- table\n\nexceptional spinors and real normed division algebras\n\nLorentzian\nspacetime\ndimension\n$\\phantom{AA}$spin groupnormed division algebra$\\,\\,$ brane scan entry\n$3 = 2+1$$Spin(2,1) \\simeq SL(2,\\mathbb{R})$$\\phantom{A}$ $\\mathbb{R}$ the real numb... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.72539616,"math_prob":0.9999471,"size":435,"snap":"2023-40-2023-50","text_gpt3_token_len":148,"char_repetition_ratio":0.10208817,"word_repetition_ratio":0.0,"special_character_ratio":0.2689655,"punctuation_ratio":0.09411765,"nsfw_num_words":0,"has_unicode_error":false,"mat... |
https://apcocoa.uni-passau.de/wiki/index.php?title=ApCoCoA-1:GLPK.IPCSolve&oldid=12028 | [
"# ApCoCoA-1:GLPK.IPCSolve\n\n## GLPK.IPCSolve\n\nSolves a system of polynomial equations over F_2 for one solution in F_2^n.\n\n### Syntax\n\n```GLPK.IPCSolve(F:LIST, QStrategy:INT, CStrategy:INT, MinMax:STRING)\n```\n\n### Description\n\nPlease note: The function(s) explained on this page is/are using the ApCoCoA... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.5228086,"math_prob":0.99940395,"size":3162,"snap":"2023-40-2023-50","text_gpt3_token_len":1190,"char_repetition_ratio":0.22324257,"word_repetition_ratio":0.3524416,"special_character_ratio":0.40259328,"punctuation_ratio":0.1834239,"nsfw_num_words":0,"has_unicode_error":fa... |
https://mathstrek.blog/2013/01/21/topology-bases-and-subbases/ | [
"## Bases\n\nRecall that though a subring or ideal of a ring may be rather huge, it often suffices to specify just a few elements which will generate the subring or ideal. Likewise, in a topology, one can specify a few open sets and generate the rest via unions and finite intersections. We’ll expound upon that in ... | [
null,
"https://s0.wp.com/latex.php",
null,
"https://s0.wp.com/latex.php",
null,
"https://s0.wp.com/latex.php",
null,
"https://s0.wp.com/latex.php",
null,
"https://s0.wp.com/latex.php",
null,
"https://s0.wp.com/latex.php",
null,
"https://simomaths.files.wordpress.com/2013/01/topology_bases.... | {"ft_lang_label":"__label__en","ft_lang_prob":0.91519505,"math_prob":0.9959153,"size":5870,"snap":"2022-40-2023-06","text_gpt3_token_len":1488,"char_repetition_ratio":0.15479031,"word_repetition_ratio":0.026385223,"special_character_ratio":0.25315163,"punctuation_ratio":0.14548239,"nsfw_num_words":0,"has_unicode_error"... |
https://www.geeksforgeeks.org/convert-given-binary-tree-to-doubly-linked-list-in-linear-time/ | [
"# Convert given Binary Tree to Doubly Linked List in Linear time\n\nGiven a Binary Tree (BT), convert it to a Doubly Linked List(DLL) In-Place. The left and right pointers in nodes are to be used as previous and next pointers respectively in converted DLL. The order of nodes in DLL must be same as Inorder of the g... | [
null,
"https://media.geeksforgeeks.org/wp-content/cdn-uploads/TreeToList.png",
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.51810104,"math_prob":0.8703017,"size":6479,"snap":"2023-40-2023-50","text_gpt3_token_len":1908,"char_repetition_ratio":0.22872587,"word_repetition_ratio":0.16698474,"special_character_ratio":0.31223956,"punctuation_ratio":0.24700914,"nsfw_num_words":0,"has_unicode_error":... |
https://www.physicsforums.com/threads/linear-speed-and-rotational-quantity.242784/ | [
"# Linear speed and rotational quantity\n\nbaylorbelle\nWhat linear speed must a 6.0×10−2 hula hoop have if its total kinetic energy is to be 0.15 J ? Assume the hoop rolls on the ground without slipping.\n\nSo, i know that the formula for linear momentum is p=mv. however, the hoop is circular, meaning it has to ha... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.9525755,"math_prob":0.9002094,"size":794,"snap":"2023-14-2023-23","text_gpt3_token_len":195,"char_repetition_ratio":0.11392405,"word_repetition_ratio":0.7172414,"special_character_ratio":0.24307305,"punctuation_ratio":0.10714286,"nsfw_num_words":0,"has_unicode_error":fals... |
https://affairscloud.com/quants-quiz-time-and-distance-set-7-boats/?amp | [
"",
null,
"Quants Questions : Time and Distance Set 7 – Boats\n\nHello Aspirants. Welcome to Online Quantitative Aptitude Section in AffairsCloud.com. Here we are creating question sample in Time and Distance- Boats and streams with Explanation, which is common for all the IBPS,SBI,SSC and other competitive exa... | [
null,
"data:image/svg+xml;base64,PHN2ZyBoZWlnaHQ9IjI4MiIgd2lkdGg9IjMzNiIgeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzIwMDAvc3ZnIiB2ZXJzaW9uPSIxLjEiLz4=",
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.8894694,"math_prob":0.99287534,"size":3629,"snap":"2022-05-2022-21","text_gpt3_token_len":1330,"char_repetition_ratio":0.18896551,"word_repetition_ratio":0.110539846,"special_character_ratio":0.37779003,"punctuation_ratio":0.12855637,"nsfw_num_words":0,"has_unicode_error"... |
https://www.kdnuggets.com/2019/11/generalization-neural-networks.html | [
"# Generalization in Neural Networks\n\nWhen training a neural network in deep learning, its performance on processing new data is key. Improving the model's ability to generalize relies on preventing overfitting using these important methods.\n\nBy Harsha Bommana, Datakalp | Deep Learning Demystified.\n\nWhenever ... | [
null,
"data:image/svg+xml,%3Csvg%20xmlns='http://www.w3.org/2000/svg'%20viewBox='0%200%2090%200'%3E%3C/svg%3E",
null,
"data:image/svg+xml,%3Csvg%20xmlns='http://www.w3.org/2000/svg'%20viewBox='0%200%2090%200'%3E%3C/svg%3E",
null,
"data:image/svg+xml,%3Csvg%20xmlns='http://www.w3.org/2000/svg'%20viewBox='0... | {"ft_lang_label":"__label__en","ft_lang_prob":0.9489392,"math_prob":0.9519077,"size":12990,"snap":"2023-40-2023-50","text_gpt3_token_len":2574,"char_repetition_ratio":0.1858155,"word_repetition_ratio":0.031235853,"special_character_ratio":0.19314858,"punctuation_ratio":0.08469722,"nsfw_num_words":0,"has_unicode_error":... |
https://mathoverflow.net/questions/403218/what-is-the-homotopy-category-of-the-sphere-spectrum | [
"# What is the homotopy category of the sphere spectrum?\n\nIs there a known explicit description of the abelian $$2$$-group $$\\mathsf{Ho}(\\mathbb{S})\\overset{\\mathrm{def}}{=}\\mathsf{Ho}(QS^0)\\cong\\Pi_{\\leq1}(QS^0)$$?\n\n• This question looks a bit cumbersome to me. Are not you asking about the fundamental ... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.8654386,"math_prob":0.9988556,"size":3250,"snap":"2022-27-2022-33","text_gpt3_token_len":965,"char_repetition_ratio":0.124460876,"word_repetition_ratio":0.00814664,"special_character_ratio":0.28523076,"punctuation_ratio":0.094462544,"nsfw_num_words":0,"has_unicode_error":... |
https://brilliant.org/problems/a-problem-by-mark-allen-facun/ | [
"Polynomial Function\n\nAlgebra Level 3\n\nA third-degree polynomial $P(x)$, satisfies $P(0)= -3$ and $P(1)= 4$. When $P(x)$ is divided by $x^{2}+ x+ 1$, the remainder is $2x -1$. What is the quotient when $P(x)$ is divided by $x^2 + x + 1$?\n\n×"
] | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.6933014,"math_prob":1.00001,"size":357,"snap":"2019-26-2019-30","text_gpt3_token_len":155,"char_repetition_ratio":0.16713881,"word_repetition_ratio":0.0,"special_character_ratio":0.44257703,"punctuation_ratio":0.15238096,"nsfw_num_words":0,"has_unicode_error":false,"math_... |
https://eudml.org/subject/MSC/20G15 | [
"Page 1 Next\n\n## Displaying 1 – 20 of 257\n\nShowing per page\n\n### $\\left(*\\right)$-groups and pseudo-bad groups.\n\nRevista Colombiana de Matemáticas\n\n### A Canonical Filtration for Certain Rational Modules.\n\nMathematische Zeitschrift\n\n### A classification of reductive linear groups.\n\nJournal of Lie ... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.9136915,"math_prob":0.464072,"size":542,"snap":"2022-40-2023-06","text_gpt3_token_len":106,"char_repetition_ratio":0.1394052,"word_repetition_ratio":0.0,"special_character_ratio":0.17527676,"punctuation_ratio":0.08421053,"nsfw_num_words":0,"has_unicode_error":false,"math_... |
https://dup4.cn/Leetcode/problems/404.sum-of-left-leaves/ | [
"# 404.sum-of-left-leaves\n\n## Statement\n\n• Difficulty: Easy\n• Tag: `树` `深度优先搜索` `广度优先搜索` `二叉树`",
null,
"``````输入: root = [3,9,20,null,null,15,7]\n\n``````\n\n``````输入: root = \n\n``````\n\n• 节点数在 `[1, 1000]` 范围内\n• `-1000 <= Node.val <= 1000`\n\n• Link: Sum of Left Leaves\n• Difficulty: Easy\n• Tag: `Tree`... | [
null,
"https://dup4.cn/Leetcode/problems/404.sum-of-left-leaves/problem-assets/https:--assets.leetcode.com-uploads-2021-04-08-leftsum-tree.jpg",
null,
"https://dup4.cn/Leetcode/problems/404.sum-of-left-leaves/problem-assets/https:--assets.leetcode.com-uploads-2021-04-08-leftsum-tree.jpg",
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.54395896,"math_prob":0.9857332,"size":1478,"snap":"2023-14-2023-23","text_gpt3_token_len":547,"char_repetition_ratio":0.097693354,"word_repetition_ratio":0.01632653,"special_character_ratio":0.34235454,"punctuation_ratio":0.24,"nsfw_num_words":0,"has_unicode_error":false,... |
http://7puzzleblog.com/29/ | [
"# day/dydd 29 at 7puzzleblog.com",
null,
"The Main Challenge\n\nWhat is the 7th 2-digit whole number that is both a multiple of 5 AND contains the letter ‘F’ when written in English?",
null,
"The 7puzzle Challenge\n\nThe playing board of the 7puzzle game is a 7-by-7 grid containing 49 different numbers, ra... | [
null,
"http://7puzzleblog.com/wp-content/uploads/2018/10/PaulRoundImage2-298x300.jpg",
null,
"http://7puzzleblog.com/wp-content/uploads/2017/06/7-newimage.jpg",
null,
"http://7puzzleblog.com/wp-content/uploads/2017/06/7-newimage.jpg",
null,
"http://7puzzleblog.com/wp-content/uploads/2017/06/7-newimage... | {"ft_lang_label":"__label__en","ft_lang_prob":0.86818606,"math_prob":0.9600798,"size":1161,"snap":"2022-27-2022-33","text_gpt3_token_len":385,"char_repetition_ratio":0.10803803,"word_repetition_ratio":0.0,"special_character_ratio":0.32644272,"punctuation_ratio":0.0781893,"nsfw_num_words":0,"has_unicode_error":false,"ma... |
https://stacks.math.columbia.edu/tag/070Y | [
"Lemma 13.31.6. Let $\\mathcal{A}$ be an abelian category. Let $F : K(\\mathcal{A}) \\to \\mathcal{D}'$ be an exact functor of triangulated categories. Then $RF$ is defined at every complex in $K(\\mathcal{A})$ which is quasi-isomorphic to a K-injective complex. In fact, every K-injective complex computes $RF$.\n\n... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.7966023,"math_prob":0.9981822,"size":1082,"snap":"2023-40-2023-50","text_gpt3_token_len":300,"char_repetition_ratio":0.124304265,"word_repetition_ratio":0.0,"special_character_ratio":0.27264327,"punctuation_ratio":0.12053572,"nsfw_num_words":0,"has_unicode_error":false,"m... |
https://astronu.jinr.ru/wiki/index.php?title=NOvA_results&oldid=2288 | [
"# Analysis 2019\n\nThe best-fit parameters of neutrino oscillation for each choice of",
null,
"$\\theta_{23}$ octant and hierarchy. The best-fit point is found for the normal hierarchy",
null,
"$\\theta_{23}$ in the upper octant. In this case:",
null,
"$\\Delta m_{32}^2 = +2.48^{=0.11}_{-0.06} \\times ... | [
null,
"https://astronu.jinr.ru/wiki/images/math/8/b/9/8b9566a93731d3611bba489887c6f217.png ",
null,
"https://astronu.jinr.ru/wiki/images/math/8/b/9/8b9566a93731d3611bba489887c6f217.png ",
null,
"https://astronu.jinr.ru/wiki/images/math/e/b/2/eb2df8da64aba998dd6140b6af30e1ff.png ",
null,
"https://astro... | {"ft_lang_label":"__label__en","ft_lang_prob":0.74527526,"math_prob":0.9999838,"size":806,"snap":"2021-31-2021-39","text_gpt3_token_len":274,"char_repetition_ratio":0.09975062,"word_repetition_ratio":0.01724138,"special_character_ratio":0.33870968,"punctuation_ratio":0.16959064,"nsfw_num_words":0,"has_unicode_error":fa... |
http://fmjournal.org/article/382/10.11648.j.fm.20190501.13 | [
"Archive\nSpecial Issues",
null,
"Volume 5, Issue 1, June 2019, Page: 15-25\nA Class of Exact Solutions for a Variable Viscosity Flow with Body Force for Moderate Peclet Number ViaVon-Mises Coordinates\nMushtaq Ahmed, Department of Mathematics, University of Karachi, Karachi, Pakistan\nReceived: Mar. 13, 2019; ... | [
null,
"http://fmjournal.org/spgj/decorator/img/article/article_r2_c3.jpg",
null,
"http://fmjournal.org/spgj/decorator/img/home/home_r16_c13.jpg",
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.69587356,"math_prob":0.61231863,"size":6282,"snap":"2019-51-2020-05","text_gpt3_token_len":1654,"char_repetition_ratio":0.10640331,"word_repetition_ratio":0.14141414,"special_character_ratio":0.26822668,"punctuation_ratio":0.23286605,"nsfw_num_words":0,"has_unicode_error"... |
https://www.dsprelated.com/showarticle/795.php | [
"# Fitting a Damped Sine Wave\n\nA damped sine wave is described by\n\n$$x_{(k)} = A \\cdot e^{\\alpha \\cdot k} \\cdot cos(\\omega \\cdot k + p) \\tag{1}$$\n\nwith frequency $\\omega$ , phase p , initial amplitude A and damping constant $\\alpha$ . The $x_{(k)}$ are the samples of the function at equally spaced po... | [
null,
"https://s3.amazonaws.com/embeddedrelated/user/profilepictures/37480.jpg",
null,
"https://www.embeddedrelated.com/new/images/defaultavatar.jpg",
null,
"https://d23s79tivgl8me.cloudfront.net/user/profilepictures/25706.jpg",
null,
"https://d23s79tivgl8me.cloudfront.net/user/profilepictures/14446.j... | {"ft_lang_label":"__label__en","ft_lang_prob":0.70949286,"math_prob":0.99971205,"size":5879,"snap":"2022-27-2022-33","text_gpt3_token_len":1799,"char_repetition_ratio":0.1518298,"word_repetition_ratio":0.08190091,"special_character_ratio":0.3340704,"punctuation_ratio":0.07438017,"nsfw_num_words":0,"has_unicode_error":f... |
https://employment.blurtit.com/117999/discuss-the-marginal-productivity-theory-and-modern-theory-of-wages | [
"# Discuss The Marginal Productivity Theory And Modern Theory Of Wages.\n\nMarginal Productivity Theory: According to the marginal productivity theory of wages, under the conditions of perfect competition, every worker of same skill and efficiency will receive a wage equal to the value of the marginal product of la... | [
null,
"https://cf.blurtitcdn.com/var/avatar/thumb_default_avatar.jpg",
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.9474243,"math_prob":0.953717,"size":6018,"snap":"2022-40-2023-06","text_gpt3_token_len":1203,"char_repetition_ratio":0.18440306,"word_repetition_ratio":0.69473684,"special_character_ratio":0.19125955,"punctuation_ratio":0.0723104,"nsfw_num_words":0,"has_unicode_error":fal... |
https://naucse.python.cz/2018/pyladies-en-prague/beginners-en/turtle/index/solutions/4/ | [
"Nauč se Python > Kurzy > Beginners course PyLadies > Functions > Turtle and loops\n\n# Turtle and loops – Řešení \n\nThe command `sum = sum + number` calculates the value of `sum + number`, adds the current number to the sum, and stores the result in the variable `sum`. The new value of `sum` will be used in the n... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.7089452,"math_prob":0.9714685,"size":287,"snap":"2021-43-2021-49","text_gpt3_token_len":73,"char_repetition_ratio":0.18727915,"word_repetition_ratio":0.0,"special_character_ratio":0.24738675,"punctuation_ratio":0.0952381,"nsfw_num_words":0,"has_unicode_error":false,"math_... |
https://annmethod.matlabprog.com/ | [
"# Matlab Help Unwrap\n\nFor all students, who have to face the time management issues while doing their matlab assignments, matlab help is a boon. It can be quite difficult to handle time when you have to spend it wisely. Matlab is a good solution to time wastage. With matlab help, students can work without any st... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.96512616,"math_prob":0.5865949,"size":3432,"snap":"2021-31-2021-39","text_gpt3_token_len":690,"char_repetition_ratio":0.1470245,"word_repetition_ratio":0.0,"special_character_ratio":0.19900933,"punctuation_ratio":0.08479532,"nsfw_num_words":0,"has_unicode_error":false,"ma... |
https://geniebook.com/tuition/primary-2/maths/picture-graphs-1 | [
"",
null,
"Study P2 Mathematics Picture Graphs 1 - Geniebook",
null,
"",
null,
"",
null,
"# Picture Graphs 1\n\n## Topic Recap:\n\nLook at the picture below.",
null,
"We can arrange the fruits above and put them into a picture graph as shown below. The picture graph allows us to count and compar... | [
null,
"https://www.facebook.com/tr",
null,
"https://geniebook.com/images/footer/icons/icon_chevron_right.svg",
null,
"https://geniebook.com/images/footer/icons/icon_chevron_right.svg",
null,
"https://geniebook.com/images/footer/icons/icon_chevron_right.svg",
null,
"https://lh5.googleusercontent.co... | {"ft_lang_label":"__label__en","ft_lang_prob":0.80834556,"math_prob":0.999877,"size":7107,"snap":"2022-40-2023-06","text_gpt3_token_len":2228,"char_repetition_ratio":0.22919893,"word_repetition_ratio":0.19936204,"special_character_ratio":0.37399748,"punctuation_ratio":0.076438144,"nsfw_num_words":0,"has_unicode_error":... |
https://www.engpaper.com/cse/quantum-computer-algorithm.html | [
"# quantum computer algorithm\n\na quantum algorithm is an algorithm which runs on a realistic model of quantum computation, the most commonly used model being the quantum circuit model of computation\n\nGeneralization and partial demonstration of an entanglement based deutsch-jozsa like algorithm using a 5-qubit q... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.85787255,"math_prob":0.9759928,"size":4192,"snap":"2022-27-2022-33","text_gpt3_token_len":788,"char_repetition_ratio":0.21012416,"word_repetition_ratio":0.047231272,"special_character_ratio":0.16269083,"punctuation_ratio":0.043010753,"nsfw_num_words":0,"has_unicode_error"... |
https://answers.everydaycalculation.com/divide-fractions/2-18-divided-by-1-10 | [
"Solutions by everydaycalculation.com\n\n## Divide 2/18 with 1/10\n\n2/18 ÷ 1/10 is 10/9.\n\n#### Steps for dividing fractions\n\n1. Find the reciprocal of the divisor\nReciprocal of 1/10: 10/1\n2. Now, multiply it with the dividend\nSo, 2/18 ÷ 1/10 = 2/18 × 10/1\n3. = 2 × 10/18 × 1 = 20/18\n4. After reducing the f... | [
null,
"https://answers.everydaycalculation.com/mathstep-app-icon.png",
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.66403645,"math_prob":0.9455411,"size":369,"snap":"2022-27-2022-33","text_gpt3_token_len":193,"char_repetition_ratio":0.2547945,"word_repetition_ratio":0.0,"special_character_ratio":0.5555556,"punctuation_ratio":0.05,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_... |
http://nd.ics.org.ru/authors_nd/detail/451388-andrei_starostin | [
"# Andrei Starostin\n\nul. 2-ya Baumanskaya 5, Moscow, 105005 Russia\nBauman Moscow State Technical University\n\n## Publications:\n\n Kuzenov V. V., Ryzhkov S. V., Starostin A. V. Development of a Mathematical Model and the Numerical Solution Method in a Combined Impact Scheme for MIF Target 2020, Vol. 16, no. 2, ... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.83406514,"math_prob":0.7916039,"size":977,"snap":"2023-40-2023-50","text_gpt3_token_len":215,"char_repetition_ratio":0.10483042,"word_repetition_ratio":0.0,"special_character_ratio":0.20368475,"punctuation_ratio":0.13559322,"nsfw_num_words":0,"has_unicode_error":false,"ma... |
https://www.freemathhelp.com/forum/threads/simple-interest.129325/ | [
"# Simple interest\n\n#### Pens8675309\n\n##### New member\nCompare the number of years it will take to double money at 5% interest, with simple interest and compounded annually. What is the difference in the number of years? (Round your answer to the nearest tenth , if necessary)\n\n#### jonah2.0\n\n##### Full Mem... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.8883372,"math_prob":0.98196423,"size":1094,"snap":"2021-21-2021-25","text_gpt3_token_len":384,"char_repetition_ratio":0.17798164,"word_repetition_ratio":0.020408163,"special_character_ratio":0.35374773,"punctuation_ratio":0.1967742,"nsfw_num_words":0,"has_unicode_error":f... |
https://formulasearchengine.com/wiki/Winding_number | [
"# Winding number\n\nThe term winding number may also refer to the rotation number of an iterated map.\n\nIn mathematics, the winding number of a closed curve in the plane around a given point is an integer representing the total number of times that curve travels counterclockwise around the point. The winding numb... | [
null,
"https://upload.wikimedia.org/wikipedia/commons/a/ac/Winding_Number_Animation_Small.gif",
null,
"https://wikimedia.org/api/rest_v1/media/math/render/svg/3ebf73c40fdccf7d31be53a1a65ff56b3df58828",
null,
"https://wikimedia.org/api/rest_v1/media/math/render/svg/304cfce3973dc7e765e3f85bb28582a715fe7a73"... | {"ft_lang_label":"__label__en","ft_lang_prob":0.92574155,"math_prob":0.9979027,"size":6752,"snap":"2023-14-2023-23","text_gpt3_token_len":1444,"char_repetition_ratio":0.17531121,"word_repetition_ratio":0.022687608,"special_character_ratio":0.2012737,"punctuation_ratio":0.09040444,"nsfw_num_words":0,"has_unicode_error":... |
https://uk.mathworks.com/help/matlab/math/choose-an-ode-solver.html | [
"## Choose an ODE Solver\n\n### Ordinary Differential Equations\n\nAn ordinary differential equation (ODE) contains one or more derivatives of a dependent variable, y, with respect to a single independent variable, t, usually referred to as time. The notation used here for representing derivatives of y with respect... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.8378211,"math_prob":0.99533737,"size":9168,"snap":"2023-14-2023-23","text_gpt3_token_len":2304,"char_repetition_ratio":0.12963772,"word_repetition_ratio":0.021753909,"special_character_ratio":0.22316754,"punctuation_ratio":0.12074118,"nsfw_num_words":0,"has_unicode_error"... |
https://www.studystack.com/flashcard-2224348 | [
"",
null,
"or",
null,
"or",
null,
"taken",
null,
"why\n\nMake sure to remember your password. If you forget it there is no way for StudyStack to send you a reset link. You would need to create a new account.\n\nDon't know\nKnow\nremaining cards\nSave\n0:01\nEmbed Code - If you would like this activi... | [
null,
"https://www.studystack.com/images/studystacklogo.svg",
null,
"https://www.studystack.com/images/blackeye.png",
null,
"https://www.studystack.com/images/greenCheckMark.svg",
null,
"https://www.studystack.com/images/blackeye.png",
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.84784615,"math_prob":0.96175265,"size":2922,"snap":"2019-43-2019-47","text_gpt3_token_len":779,"char_repetition_ratio":0.11274846,"word_repetition_ratio":0.04743083,"special_character_ratio":0.29534566,"punctuation_ratio":0.10891089,"nsfw_num_words":0,"has_unicode_error":... |
https://republicofsouthossetia.org/question/what-is-the-length-of-th-diagonal-of-a-10-cm-by-15-cm-rectangle-to-the-nearest-whole-number-15925804-69/ | [
"What is the length of th diagonal of a 10 cm by 15 cm rectangle, to the nearest whole number\n\nQuestion\n\nWhat is the length of th diagonal of a 10 cm by 15 cm rectangle, to the nearest whole number\n\nin progress 0\n2 weeks 2022-01-12T12:43:12+00:00 1 Answer 0 views 0\n\nThe diagonal measures 5\n\n13 cm\n\nSte... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.7753285,"math_prob":0.99733996,"size":446,"snap":"2022-05-2022-21","text_gpt3_token_len":172,"char_repetition_ratio":0.108597286,"word_repetition_ratio":0.33684212,"special_character_ratio":0.45515695,"punctuation_ratio":0.09090909,"nsfw_num_words":0,"has_unicode_error":f... |
https://greprepclub.com/forum/a-circular-region-has-circumference-c-inches-and-area-k-squa-14900.html?sort_by_oldest=true | [
"",
null,
"It is currently 26 Feb 2020, 11:37",
null,
"### GMAT Club Daily Prep\n\n#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.\n\nCustomized\nfor You\n\nwe will pick new q... | [
null,
"https://greprepclub.com/tests/resources/css/images/mobileMenu/greprepHeader.png",
null,
"https://greprepclub.com/forum/styles/gmatclub_light/theme/images/profile/close.png",
null,
"https://greprepclub.com/forum/styles/gmatclub_light/theme/images/search/close.png",
null,
"https://greprepclub.com... | {"ft_lang_label":"__label__en","ft_lang_prob":0.776961,"math_prob":0.9635251,"size":737,"snap":"2020-10-2020-16","text_gpt3_token_len":248,"char_repetition_ratio":0.14597544,"word_repetition_ratio":0.0,"special_character_ratio":0.3772049,"punctuation_ratio":0.09271523,"nsfw_num_words":0,"has_unicode_error":false,"math_... |
https://huffydeb2003.savingadvice.com/2009/05/20/another-penny_51145/ | [
"User Real IP - 52.205.167.104\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
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.9293072,"math_prob":0.9994655,"size":485,"snap":"2021-43-2021-49","text_gpt3_token_len":123,"char_repetition_ratio":0.11018711,"word_repetition_ratio":0.38372093,"special_character_ratio":0.25979382,"punctuation_ratio":0.16666667,"nsfw_num_words":0,"has_unicode_error":fal... |
https://www.tutorialsrack.com/articles/205/how-to-get-the-year-month-and-day-from-a-datetime-in-python | [
";\n\n# How to Get the year, month, and day from a datetime in Python\n\n###### Tutorialsrack 29/03/2020 Programs Python\n\nIn this article, we will learn how to get or extract the year, month and day from a DateTime in python.\n\nExample: In this example, we will get the date part from the DateTime\n\n##### Exampl... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.76143545,"math_prob":0.49145794,"size":1090,"snap":"2020-34-2020-40","text_gpt3_token_len":265,"char_repetition_ratio":0.19429098,"word_repetition_ratio":0.12429378,"special_character_ratio":0.2880734,"punctuation_ratio":0.20476191,"nsfw_num_words":0,"has_unicode_error":f... |
http://access.feld.cvut.cz/rservice.php?akce=tisk&cisloclanku=2007030003 | [
"# Time Precision of Navigation Systems\n\nAutor: E. Kozlowska <kozloe1(at)fel.cvut.cz>, Pracoviště: České vysoké učení technické v Praze, FEL, Téma: Lokalizace polohy, Vydáno dne: 20. 03. 2007\n\nThis paper will present advantages and potential possibilities of satellite navigation systems, especially with the emp... | [
null,
"http://access.feld.cvut.cz/storage/200703201035_Kozloe1_rovnice_1.jpg",
null,
"http://access.feld.cvut.cz/storage/200703201115_obrazek_1.jpg",
null,
"http://access.feld.cvut.cz/storage/200703201115_obrazek_2.jpg",
null,
"http://access.feld.cvut.cz/storage/200703201115_obrazek_3.jpg",
null,
... | {"ft_lang_label":"__label__en","ft_lang_prob":0.91177213,"math_prob":0.9102969,"size":11094,"snap":"2023-14-2023-23","text_gpt3_token_len":2414,"char_repetition_ratio":0.12750225,"word_repetition_ratio":0.007945516,"special_character_ratio":0.2083108,"punctuation_ratio":0.110843375,"nsfw_num_words":0,"has_unicode_error... |
https://djalil.chafai.net/blog/page/3/?s=julia | [
"# 11 search results for \"julia\"\n\nThis micro post is about automatic differentiation, a programming technique allowing to compute automatically the derivative of a function from its source code. This technique, in its reverse mode, is attributed to Seppo Linnainmaa who introduced the idea in his Master thesis i... | [
null,
"http://djalil.chafai.net/blog/wp-content/uploads/2011/03/diceindice-300x300.jpg",
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.7819767,"math_prob":0.9999434,"size":18454,"snap":"2021-43-2021-49","text_gpt3_token_len":5577,"char_repetition_ratio":0.14200541,"word_repetition_ratio":0.06494811,"special_character_ratio":0.33060583,"punctuation_ratio":0.123268306,"nsfw_num_words":3,"has_unicode_error"... |
https://pakaccountants.com/excel-formulas/value/ | [
"## VALUE\n\nChanges given text string (that should have been a number) to a number.\n\nSyntax of Excel Value formula:\n=VALUE(text)\n\nIn words:\n=Change to numbers (this text)\n\n#### Examples of Excel Value formula\n\n=VALUE(“21 December 2015”) will return 42359. Once formatted in date format it will be 12/21/20... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.8415182,"math_prob":0.857497,"size":374,"snap":"2019-26-2019-30","text_gpt3_token_len":96,"char_repetition_ratio":0.14054054,"word_repetition_ratio":0.3,"special_character_ratio":0.28074867,"punctuation_ratio":0.08108108,"nsfw_num_words":0,"has_unicode_error":false,"math_... |
https://calculatorsonline.org/rounding-numbers/what-is-2438-rounded-to-the-nearest-whole | [
"# 2438 rounded to the nearest whole\n\nHere you will see step by step solution to round of the 2438 to the nearest whole. What is 2438 rounded to the nearest whole? 2438 rounded to the nearest whole is 2438, check the explanation that how to rounding the 2438 to nearest whole.\n\n## Answer: Rounded 2438 to nearest... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.8715178,"math_prob":0.9930762,"size":1136,"snap":"2023-14-2023-23","text_gpt3_token_len":324,"char_repetition_ratio":0.23233216,"word_repetition_ratio":0.04888889,"special_character_ratio":0.3177817,"punctuation_ratio":0.1124498,"nsfw_num_words":0,"has_unicode_error":fals... |
https://kr.mathworks.com/matlabcentral/cody/problems/1058-subtract-two-positive-numbers/solutions/1239109 | [
"Cody\n\n# Problem 1058. Subtract two positive numbers\n\nSolution 1239109\n\nSubmitted on 25 Jul 2017 by Augusto Mazzei\nThis solution is locked. To view this solution, you need to provide a solution of the same size or smaller.\n\n### Test Suite\n\nTest Status Code Input and Output\n1 Pass\na = '0205'; b = '812... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.5124457,"math_prob":0.92536885,"size":624,"snap":"2019-51-2020-05","text_gpt3_token_len":191,"char_repetition_ratio":0.12903225,"word_repetition_ratio":0.0,"special_character_ratio":0.36698717,"punctuation_ratio":0.14529915,"nsfw_num_words":0,"has_unicode_error":false,"ma... |
https://www.zhygear.com/dynamic-model-of-planetary-gear-train-of-shearer-cutting-part/ | [
"# Dynamic model of planetary gear train of shearer cutting part\n\nAccording to Newton’s second law, the dynamic equation of the system is established as follows\n\nWhere I (I = R, s, 1, 2,…) , n) is the moment of inertia of component I around its center of mass; MP is the mass of a single planetary gear, KSN is t... | [
null,
"https://www.zhygear.com/wp-content/themes/luminescence-lite/images/post-shadow.png",
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.90432787,"math_prob":0.97790295,"size":1467,"snap":"2022-27-2022-33","text_gpt3_token_len":323,"char_repetition_ratio":0.17293233,"word_repetition_ratio":0.07575758,"special_character_ratio":0.2133606,"punctuation_ratio":0.065972224,"nsfw_num_words":0,"has_unicode_error":... |
https://eng_rus_building.academic.ru/2052/direction_cosine_matrix | [
"# direction cosine matrix\n\n\ndirection cosine matrix\nn\nматрица направляющих косинусов\n\nАнгло-русский строительный словарь. — М.: Русский Язык. . 1995.\n\n### Смотреть что такое \"direction cosine matrix\" в других словарях:\n\n• Matrix - получить на Академике рабочий купон на скидку Летуаль или выгодно matr... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.53682953,"math_prob":0.6793692,"size":3122,"snap":"2020-45-2020-50","text_gpt3_token_len":754,"char_repetition_ratio":0.11193073,"word_repetition_ratio":0.008385744,"special_character_ratio":0.2008328,"punctuation_ratio":0.1002004,"nsfw_num_words":0,"has_unicode_error":fa... |
http://www.vpuzzles.com/find-the-missing-number-math-puzzle-game-answer/ | [
"# find the missing number math puzzle game answer\n\nTo answer to this math puzzle game is 105 as explained below the picture\n\n#### Left Block Answer Explanation\n\nIn each block Step 1 : Multiply Opposite Diagonal Values and add them together as (6 x 3) + (6 x 3) = 36 Step 2: Add to this 36 number we get in ste... | [
null,
"http://1.gravatar.com/avatar/",
null,
"http://2.gravatar.com/avatar/53124557e9da72e77fc57bbf6d829bd5",
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.7990379,"math_prob":0.9891391,"size":1205,"snap":"2022-40-2023-06","text_gpt3_token_len":384,"char_repetition_ratio":0.13155703,"word_repetition_ratio":0.30566037,"special_character_ratio":0.37178424,"punctuation_ratio":0.048148148,"nsfw_num_words":0,"has_unicode_error":f... |
http://math.portonvictor.org/2013/06/29/funcoids-history/ | [
"# The history of discovery of funcoids\n\nIn my book I introduce funcoids as a generalization of proximity spaces. This is the most natural way to introduce funcoids, but it was not the actual way I’ve discovered them.\n\nThe first thing discovered equivalent to funcoids was a function",
null,
"$\\Delta$ (gene... | [
null,
"http://s0.wp.com/latex.php",
null,
"http://s0.wp.com/latex.php",
null,
"http://s0.wp.com/latex.php",
null,
"http://s0.wp.com/latex.php",
null,
"http://s0.wp.com/latex.php",
null,
"http://s0.wp.com/latex.php",
null,
"http://s0.wp.com/latex.php",
null,
"http://s0.wp.com/latex.php"... | {"ft_lang_label":"__label__en","ft_lang_prob":0.9425953,"math_prob":0.9539266,"size":2538,"snap":"2021-31-2021-39","text_gpt3_token_len":546,"char_repetition_ratio":0.12865035,"word_repetition_ratio":0.004672897,"special_character_ratio":0.20055161,"punctuation_ratio":0.08649789,"nsfw_num_words":0,"has_unicode_error":f... |
https://www.geoteknikk.com/2015/08/introduction-to-nonlinear-finite.html | [
"# Introduction to Nonlinear Finite Element Analysis\n\nNam-Ho Kim ... 430 pages - Publisher: Springer; (November, 2014) ... Language: English - ISBN-10: 1441917454 - ISBN-13: 978-1441917454 ...\n\nThis book introduces the key concepts of nonlinear finite element analysis procedures. The book explains the fundament... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.85963565,"math_prob":0.57055295,"size":1358,"snap":"2021-43-2021-49","text_gpt3_token_len":260,"char_repetition_ratio":0.12186115,"word_repetition_ratio":0.032608695,"special_character_ratio":0.20029455,"punctuation_ratio":0.17410715,"nsfw_num_words":0,"has_unicode_error"... |
https://salve.digication.com/meganwalton/Introduction_Background/published | [
"DRAFT: This module has unpublished changes.\n\nLab 1: Determining the Empirical Formula of a Compound\n\nPurpose: The purpose of this lab is to determine the empirical formula of a compound. In order to do this, the empirical formula, which is the simplest whole number ratio of elements in a compound is found by l... | [
null,
"https://salve.digication.com/files/M2a69122c86382639a8a1757e9946921e.jpg",
null,
"https://salve.digication.com/files/M5af55b73ff7a340fa3a94ce32df3dd68.jpg",
null,
"https://salve.digication.com/files/Mfce59d5a14c13fdfe1696799858f7890.jpg",
null,
"https://salve.digication.com/files/M1c50e79871046... | {"ft_lang_label":"__label__en","ft_lang_prob":0.9155219,"math_prob":0.96968466,"size":2090,"snap":"2020-34-2020-40","text_gpt3_token_len":435,"char_repetition_ratio":0.14669223,"word_repetition_ratio":0.04034582,"special_character_ratio":0.19186603,"punctuation_ratio":0.10406091,"nsfw_num_words":0,"has_unicode_error":f... |
https://lammps.sandia.gov/doc/fix_gravity.html | [
"# fix gravity/kk command\n\n## Syntax\n\nfix ID group gravity magnitude style args\n\n• ID, group are documented in fix command\n\n• gravity = style name of this fix command\n\n• magnitude = size of acceleration (force/mass units)\n\n• magnitude can be a variable (see below)\n\n• style = chute or spherical or grad... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.84540296,"math_prob":0.93391424,"size":5141,"snap":"2019-51-2020-05","text_gpt3_token_len":1161,"char_repetition_ratio":0.12847966,"word_repetition_ratio":0.03448276,"special_character_ratio":0.21902354,"punctuation_ratio":0.10813492,"nsfw_num_words":0,"has_unicode_error"... |
https://mathoverflow.net/questions/143144/intuition-behind-the-ricci-flow/149341 | [
"# Intuition behind the ricci flow\n\nI hope you don't shoot me for this question. I try to understand among other things the Ricci flow. However I have no idea of the intuition behind the definition. So my questions is:\n\nWhat is the intuition behind the Ricci flow?\n\nI would appreciate any illustrative example.... | [
null,
"https://i.stack.imgur.com/FmUuW.png",
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.73805285,"math_prob":0.9985991,"size":7664,"snap":"2019-51-2020-05","text_gpt3_token_len":2366,"char_repetition_ratio":0.1610966,"word_repetition_ratio":0.0130293155,"special_character_ratio":0.29070982,"punctuation_ratio":0.08056537,"nsfw_num_words":0,"has_unicode_error"... |
https://www.dataunitconverter.com/kilobit-per-hour-to-zebibit-per-minute | [
"# kbit/Hour to Zibit/Minute Converter - CONVERT Kilobits Per Hour to Zebibits Per Minute\n\nInput Kilobits Per Hour - and press Enter\nkbit/Hour\n\nSec\nMin\nHr\nDay\nSec\nMin\nHr\nDay\nQuickly and accurately convert between Kilobits Per Hour and Zebibits Per Minute with our free online tool. Learn about the conve... | [
null,
"https://www.dataunitconverter.com/showimage.php/Kilobits Per Hour_to_Zebibits Per Minute_Dataunitconverter.png",
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.7350427,"math_prob":0.96620095,"size":5610,"snap":"2023-14-2023-23","text_gpt3_token_len":1588,"char_repetition_ratio":0.21387799,"word_repetition_ratio":0.1273743,"special_character_ratio":0.2969697,"punctuation_ratio":0.084349595,"nsfw_num_words":0,"has_unicode_error":f... |
https://www.physicsforums.com/search/11188950/?c[users]=Crosshash&o=date | [
"# Search results for query: *\n\n1. ### A How do Magnetic Gradiometers work?\n\nI'm a bit of a layman when it comes to this sort of thing, but from the literature I've read, it looks like most gradiometers utilise two magnetometers. Much of my understanding stems from this paper: http://library.seg.org/doi/abs/10.... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.92951065,"math_prob":0.93734235,"size":9116,"snap":"2023-40-2023-50","text_gpt3_token_len":2814,"char_repetition_ratio":0.09460053,"word_repetition_ratio":0.03229595,"special_character_ratio":0.31954804,"punctuation_ratio":0.12656957,"nsfw_num_words":0,"has_unicode_error"... |
https://researchers.mq.edu.au/en/publications/complexity-mapping-of-a-photonic-integrated-circuit-laser-using-a | [
"# Complexity mapping of a photonic integrated circuit laser using a correlation-dimension-based approach\n\nChristopher J. McMahon, Joshua P. Toomey, Apostolos Argyris, Deb M. Kane\n\nResearch output: Contribution to journalArticleResearchpeer-review\n\n### Abstract\n\nQuantifying complexity from experimental time... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.8539719,"math_prob":0.7557887,"size":6227,"snap":"2020-10-2020-16","text_gpt3_token_len":1308,"char_repetition_ratio":0.113128714,"word_repetition_ratio":0.77826566,"special_character_ratio":0.20571704,"punctuation_ratio":0.109195404,"nsfw_num_words":0,"has_unicode_error"... |
https://quantumfinancier.wordpress.com/2010/05/ | [
"Volatility Autocorrelation in Different Markets\n\nFor an introduction to autocorrelation see this previous post: First Order Autocorrelation as a Moderator of Daily MR.\n\nIn the previous post, I looked at how autocorrelation indicated MR performance, in this post, I observed the autocorrelation of another modera... | [
null,
"https://quantumfinancier.files.wordpress.com/2010/05/volatility-autocorrelation-in-different-markets-results.png",
null,
"https://quantumfinancier.files.wordpress.com/2010/05/drivers-of-mr-formulas.png",
null,
"https://quantumfinancier.files.wordpress.com/2010/05/drivers-of-mr.png",
null,
"http... | {"ft_lang_label":"__label__en","ft_lang_prob":0.921239,"math_prob":0.8120424,"size":2102,"snap":"2019-43-2019-47","text_gpt3_token_len":431,"char_repetition_ratio":0.15967588,"word_repetition_ratio":0.0,"special_character_ratio":0.18934348,"punctuation_ratio":0.08918919,"nsfw_num_words":0,"has_unicode_error":false,"mat... |
https://file.scirp.org/Html/5-7900259_35558.htm | [
"Decoupling Control Research on Test System of Hydraulic Drive Unit of Quadruped Robot Based on Diagonal Matrix Method\n\nIntelligent Control and Automation\nVol. 4 No. 3 (2013) , Article ID: 35558 , 6 pages DOI:10.4236/ica.2013.43033\n\nDecoupling Control Research on Test System of Hydraulic Drive Unit of Quadru... | [
null,
"https://file.scirp.org/Html/5-7900259\\53f60c24-8f4c-421d-a5a6-a52388d00a17.jpg",
null,
"https://file.scirp.org/Html/5-7900259\\ffa44579-b1e3-445b-ab94-f11ee07008b8.jpg",
null,
"https://file.scirp.org/Html/5-7900259\\21f8efb1-0802-4576-97f3-cb277850f129.jpg",
null,
"https://file.scirp.org/Html/... | {"ft_lang_label":"__label__en","ft_lang_prob":0.86890745,"math_prob":0.866901,"size":15801,"snap":"2020-34-2020-40","text_gpt3_token_len":3651,"char_repetition_ratio":0.18452871,"word_repetition_ratio":0.11302983,"special_character_ratio":0.22353016,"punctuation_ratio":0.1472332,"nsfw_num_words":2,"has_unicode_error":f... |
https://smcint.com/transformer-turns-ratio-2/ | [
"# Transformer Turns Ratio\n\nThe transformer turns ratio is the number of turns of the primary winding divided by the number of turns of the secondary coil. The transformer turns ratio provides the expected operation of the transformer and the corresponding voltage required on the secondary winding.\n\nIf it is re... | [
null,
"https://smcint.com/wp-content/uploads/2016/01/prueba-de-relacion-de-transformacion-raptor-217x300.jpg",
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.92236567,"math_prob":0.9529762,"size":5877,"snap":"2023-40-2023-50","text_gpt3_token_len":1072,"char_repetition_ratio":0.23122765,"word_repetition_ratio":0.015300547,"special_character_ratio":0.17628041,"punctuation_ratio":0.08275862,"nsfw_num_words":0,"has_unicode_error"... |
https://www.soulzfitness.com/profile/frddsonrandalie/profile | [
"## Profile\n\nJoin date: May 12, 2022",
null,
"Radio Comercial is an online radio that aims to present all kinds of music and cultural information that gives it a special character. Most of its programs are done by a group of professionals and loyal listeners.Fold generation of Gaussian beam Fold generation of... | [
null,
"https://static.wixstatic.com/media/a894bb_56196071f0624c5aae109046727e3dfd~mv2.png/v1/fit/w_256,h_256,al_c,q_5,enc_auto/file.png",
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.86081856,"math_prob":0.9840891,"size":12463,"snap":"2022-27-2022-33","text_gpt3_token_len":3258,"char_repetition_ratio":0.32137412,"word_repetition_ratio":0.59858865,"special_character_ratio":0.24993983,"punctuation_ratio":0.09741248,"nsfw_num_words":0,"has_unicode_error"... |
https://www.biologic.net/documents/eis-optimizations-electrochemistry-battery-application-note-23/ | [
"20 min read",
null,
"",
null,
"",
null,
"# EIS measurements on Li-ion batteries EC-Lab® software parameters adjustment (EIS optimizations) Battery – Application Note 23\n\nLatest updated: May 5, 2023\n\nAbstract\n\nThis application note explains many software and hardware considerations that need to be... | [
null,
"https://www.biologic.net/wp-content/themes/biologic/skin/public/rate.svg",
null,
"https://www.biologic.net/wp-content/themes/biologic/skin/public/rate.svg",
null,
"https://www.biologic.net/wp-content/themes/biologic/skin/public/rate.svg",
null,
"https://www.biologic.net/wp-content/webpc-passthr... | {"ft_lang_label":"__label__en","ft_lang_prob":0.91356665,"math_prob":0.9550947,"size":11144,"snap":"2023-40-2023-50","text_gpt3_token_len":2475,"char_repetition_ratio":0.1502693,"word_repetition_ratio":0.06970362,"special_character_ratio":0.2160804,"punctuation_ratio":0.10767745,"nsfw_num_words":0,"has_unicode_error":f... |
https://www.cfm.brown.edu/people/dobrush/am33/Mathematica/taylor.html | [
"# Preface\n\nThis is a tutorial made solely for the purpose of education and it was designed for students taking Applied Math 0330. It is primarily for students who have very little experience or have never used Mathematica before and would like to learn more of the basics for this computer algebra system. As a fr... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.83131754,"math_prob":0.99989593,"size":9281,"snap":"2021-31-2021-39","text_gpt3_token_len":3273,"char_repetition_ratio":0.1238547,"word_repetition_ratio":0.27878788,"special_character_ratio":0.39887944,"punctuation_ratio":0.20175055,"nsfw_num_words":0,"has_unicode_error":... |
https://www.fincover.com/banking/loan/emi-calculator/ | [
"",
null,
"Personal Loan Car Loan Home Loan Business Loan Bike Loan Gold Loan\n\nChart by Visualizer\n\nChart by Visualizer\n\nChart by Visualizer\n\nChart by Visualizer\n\nChart by Visualizer\n\nChart by Visualizer\n\n## How EMI Calculator Works\n\nYou can calculate your EMI with the help of the EMI Calculator... | [
null,
"https://www.facebook.com/tr",
null,
"https://www.fincover.com/wp-content/uploads/2020/11/emi.png",
null,
"https://www.fincover.com/wp-content/uploads/2020/11/emi-cal.png",
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.93133754,"math_prob":0.8897997,"size":2195,"snap":"2023-40-2023-50","text_gpt3_token_len":505,"char_repetition_ratio":0.15107258,"word_repetition_ratio":0.020253165,"special_character_ratio":0.2164009,"punctuation_ratio":0.08275862,"nsfw_num_words":0,"has_unicode_error":f... |
https://nineplanets.org/percentage-calculator/what-is-percentage-difference-from-2856-to-2208/ | [
"# What is the percentage increase/decrease from 2856 to 2208?\n\n## Quickly work out the percentage increase or decrease from 2856 to 2208 in this step-by-step percentage calculator tutorial. (Spoiler alert: it's -22.69%!)\n\nSo you want to work out the percentage increase or decrease from 2856 to 2208? Fear not, ... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.92250544,"math_prob":0.9134881,"size":1742,"snap":"2020-45-2020-50","text_gpt3_token_len":413,"char_repetition_ratio":0.16685846,"word_repetition_ratio":0.006535948,"special_character_ratio":0.2738232,"punctuation_ratio":0.10511363,"nsfw_num_words":0,"has_unicode_error":f... |
https://chemistry.stackexchange.com/questions/7955/which-ions-are-accounted-for-in-total-and-net-ionic-equations | [
"# Which ions are accounted for in total and net ionic equations?\n\nThere are a number of things I don't understand about ionic equations.\n\nFirst off, when you do net ionic equations, is it correct that you're only focusing on precipitates? The way I understood it, you put \"no reaction\" if there are no solid o... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.92219263,"math_prob":0.98620385,"size":1190,"snap":"2022-40-2023-06","text_gpt3_token_len":326,"char_repetition_ratio":0.15092748,"word_repetition_ratio":0.0,"special_character_ratio":0.26638657,"punctuation_ratio":0.07826087,"nsfw_num_words":0,"has_unicode_error":false,"... |
https://link.springer.com/article/10.1134%2FS0040577919100027 | [
"Theoretical and Mathematical Physics\n\n, Volume 201, Issue 1, pp 1426–1441\n\n# Solution Space Monodromy of a Special Double Confluent Heun Equation and Its Applications\n\nArticle\n\n## Abstract\n\nWe consider three linear operators determining automorphisms of the solution space of a special double confluent He... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.73270833,"math_prob":0.87651914,"size":8872,"snap":"2019-43-2019-47","text_gpt3_token_len":2570,"char_repetition_ratio":0.1865133,"word_repetition_ratio":0.0558799,"special_character_ratio":0.27434626,"punctuation_ratio":0.26126125,"nsfw_num_words":0,"has_unicode_error":f... |
https://uk.mathworks.com/matlabcentral/answers/539623-find-max-value-position | [
"# Find max value position\n\n10 views (last 30 days)\nGonzalo Guerrero on 1 Jun 2020\nHi,\nI am trying to sort out a problem where I got 210 rows in 1 column, which variable is called 'Force1' and I need to find the position of the max value. I tried the next code:\nx=find(max(Force1))\nThe actual value is in row ... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.8745644,"math_prob":0.73418146,"size":449,"snap":"2020-34-2020-40","text_gpt3_token_len":125,"char_repetition_ratio":0.103370786,"word_repetition_ratio":0.0,"special_character_ratio":0.27839643,"punctuation_ratio":0.08737864,"nsfw_num_words":0,"has_unicode_error":false,"m... |
https://cran.case.edu/web/packages/breakDown/vignettes/break_lm.html | [
"# breakDown plots for the linear models\n\n#### 2020-04-04\n\nHere we will use the wine quality data (archive.ics.uci.edu/ml/machine-learning-databases/wine-quality/winequality-white.csv) to present the breakDown package for lm models.\n\nlibrary(\"breakDown\")\n#> fixed.acidity volatile.acidity citric.acid resi... | [
null,
"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAqAAAAEgCAYAAABrZMGAAAAEGWlDQ1BrQ0dDb2xvclNwYWNlR2VuZXJpY1JHQgAAOI2NVV1oHFUUPrtzZyMkzlNsNIV0qD8NJQ2TVjShtLp/3d02bpZJNtoi6GT27s6Yyc44M7v9oU9FUHwx6psUxL+3gCAo9Q/bPrQvlQol2tQgKD60+INQ6Ium65k7M5lpurHeZe58853vnnvuuWfvBei5qliWkRQBFpquLRcy4nOHj4g9K5CEh6AXBqFXUR0rXalMA... | {"ft_lang_label":"__label__en","ft_lang_prob":0.5161946,"math_prob":0.951936,"size":3800,"snap":"2021-04-2021-17","text_gpt3_token_len":1543,"char_repetition_ratio":0.12671232,"word_repetition_ratio":0.2573913,"special_character_ratio":0.4686842,"punctuation_ratio":0.2552204,"nsfw_num_words":0,"has_unicode_error":false... |
https://www.math.ku.dk/english/research/conferences/2010_and_before/localfs/ | [
"# Local methods in fusion systems\n\n## December 15-19, 2008",
null,
"Organizer: Antonio Díaz Ramos\n\nExternal Participants:\n\n• Nadia Mazza (University of Lancaster)\n• Sejong Park (Oberwolfach Institute)\n• Radu Stancu (Universite de Picardie)\n\nThis is a workshop on fusion systems. There will be very few... | [
null,
"https://www.math.ku.dk/english/images/lillehavfrue.xxs.jpg",
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.84491754,"math_prob":0.7326037,"size":5503,"snap":"2020-24-2020-29","text_gpt3_token_len":1394,"char_repetition_ratio":0.15311874,"word_repetition_ratio":0.028503563,"special_character_ratio":0.24186808,"punctuation_ratio":0.16391852,"nsfw_num_words":0,"has_unicode_error"... |
https://dannagifford.com/category/sharing-is-caring/ | [
"# R and ggplot2: Make zero print as “0”\n\nThe aesthetics of R printing zeros with superfluous decimal places (e.g. “0.00” instead of “0”) has always bothered me. I also want to keep the number of decimal places for the other ticks consistent (e.g. “0, 0.5, 1.0,” not “0, 0.5, 1”). I could get prettyNum() to fix th... | [
null,
"https://dannagifford.files.wordpress.com/2018/10/csm_microplate-stacker_317840ffa5.png",
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.6830696,"math_prob":0.9678624,"size":2990,"snap":"2021-43-2021-49","text_gpt3_token_len":806,"char_repetition_ratio":0.11754856,"word_repetition_ratio":0.015625,"special_character_ratio":0.28494984,"punctuation_ratio":0.17857143,"nsfw_num_words":0,"has_unicode_error":fals... |
https://help.geogebra.org/topic/extend-point-definition-with-an-checkbox | [
"# Extend point definition with an checkbox\n\nRumburak shared this question 5 years ago\n\nAn point A move on two segments.\n\nPoint definition : Point[{f, g}]\n\nWhen I click an checkbox I want to extend point definition with more one line :\n\nNew Point definition : Point[{f, g,h}]\n\nhow can I do?",
null,
"... | [
null,
"https://accounts.geogebra.org/api/avatar.php",
null,
"https://accounts.geogebra.org/api/avatar.php",
null,
"https://accounts.geogebra.org/api/avatar.php",
null,
"https://accounts.geogebra.org/api/avatar.php",
null,
"https://accounts.geogebra.org/api/avatar.php",
null,
"https://accounts.... | {"ft_lang_label":"__label__en","ft_lang_prob":0.7782254,"math_prob":0.9714821,"size":1941,"snap":"2021-43-2021-49","text_gpt3_token_len":618,"char_repetition_ratio":0.13371192,"word_repetition_ratio":0.0,"special_character_ratio":0.32869655,"punctuation_ratio":0.20044543,"nsfw_num_words":0,"has_unicode_error":false,"ma... |
http://www.expertsmind.com/questions/what-is-called-when-a-star-connected-intermediate-exchange-30166208.aspx | [
"## What is called when a star connected intermediate exchange, Computer Engineering\n\nAssignment Help:\n\nA star connected intermediate exchange is known as a?\n\nA star connected intermediate exchange is termed as a Hub exchange.\n\n#### Explain about interrupt cycle, Q. Explain about Interrupt Cycle? On com...\... | [
null,
"http://www.expertsmind.com/questions/CaptchaImage.axd",
null,
"http://www.expertsmind.com/prostyles/images/3.png",
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.9131189,"math_prob":0.84279937,"size":2417,"snap":"2022-05-2022-21","text_gpt3_token_len":486,"char_repetition_ratio":0.07915458,"word_repetition_ratio":0.010840109,"special_character_ratio":0.19817956,"punctuation_ratio":0.1072261,"nsfw_num_words":0,"has_unicode_error":f... |
https://www2.nagare.or.jp/mm/2008/taniguchi-ishiwatari/crossmode_en.htm | [
"## 5. Characteristic of neutral modes whose dispersion curves have intersection with other neutral modes",
null,
"",
null,
"",
null,
"### 5.1 The objective of this section\n\nIn dispersion relations obtained by TI2006 for large value of E, dispersion curves of some neutral modes intersect nearby disper... | [
null,
"https://www2.nagare.or.jp/mm/2008/taniguchi-ishiwatari/images/top.gif",
null,
"https://www2.nagare.or.jp/mm/2008/taniguchi-ishiwatari/images/prev.gif",
null,
"https://www2.nagare.or.jp/mm/2008/taniguchi-ishiwatari/images/next.gif",
null,
"https://www2.nagare.or.jp/mm/2008/taniguchi-ishiwatari/i... | {"ft_lang_label":"__label__en","ft_lang_prob":0.90334874,"math_prob":0.947641,"size":4441,"snap":"2020-45-2020-50","text_gpt3_token_len":963,"char_repetition_ratio":0.18210502,"word_repetition_ratio":0.12742382,"special_character_ratio":0.21414097,"punctuation_ratio":0.10666667,"nsfw_num_words":0,"has_unicode_error":fa... |
https://gullele.com/tag/algorithm-2/ | [
"find longest word in the sentence\n\nFind the longest word in the sentence\n\nI am using javascript for this question.\n\nIt can be done in a lot of ways. The straight forward way could be the fastest probably. You will loop over the array of the words – you can split it with space – ” “.\n\nThen just compare the ... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.81019443,"math_prob":0.96818817,"size":4156,"snap":"2022-05-2022-21","text_gpt3_token_len":1054,"char_repetition_ratio":0.15149325,"word_repetition_ratio":0.0058224164,"special_character_ratio":0.27141482,"punctuation_ratio":0.14438502,"nsfw_num_words":0,"has_unicode_erro... |
https://nl.mathworks.com/help/symbolic/sin.html | [
"# sin\n\nSymbolic sine function\n\n## Syntax\n\n``sin(X)``\n\n## Description\n\nexample\n\n``sin(X)` returns the sine function of `X`.`\n\n## Examples\n\n### Sine Function for Numeric and Symbolic Arguments\n\nDepending on its arguments, `sin` returns floating-point or exact symbolic results.\n\nCompute the sine f... | [
null,
"https://nl.mathworks.com/help/examples/symbolic/win64/SinPlotTheSineFunctionExample_01.png",
null,
"https://nl.mathworks.com/help/symbolic/definition_sine.png",
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.5802431,"math_prob":0.9979505,"size":1758,"snap":"2021-43-2021-49","text_gpt3_token_len":565,"char_repetition_ratio":0.14139111,"word_repetition_ratio":0.00754717,"special_character_ratio":0.37144482,"punctuation_ratio":0.20157067,"nsfw_num_words":0,"has_unicode_error":fa... |
https://proficientwritershub.com/circle-has-equation-x2y24x-4y-10-graph-circle-using-center-hk-and-raduis-r-find-intercepts-i/ | [
"# circle has equation x2y24x 4y 10 graph circle using center hk and raduis r find intercepts i\n\na circle has the equation x^2+y^2^4x 4y 1=0 graph the circle using center (h,k) and raduis r. find the intercepts, if any of the graph. then find the x intercepts?\n\n##### Looking for a similar assignment? Our writer... | [
null,
"https://proficientwritershub.com/wp-content/uploads/2019/10/order-now.png",
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.577095,"math_prob":0.9371601,"size":650,"snap":"2023-40-2023-50","text_gpt3_token_len":212,"char_repetition_ratio":0.119195044,"word_repetition_ratio":0.35820895,"special_character_ratio":0.35384616,"punctuation_ratio":0.115384616,"nsfw_num_words":0,"has_unicode_error":fa... |
https://pyglow.github.io/userguide.html | [
"# User Guide¶\n\n## Standard Models¶\n\nclass `network.``Network`(input_shape, device, gpu, track_dynamics=False)\n\nBase class for all neural network modules.\n\nYour network should also subclass this class.\n\nParameters: input_shape (tuple) – input tensor shape device (torch.device or int) – GPU or CPU for trai... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.66583925,"math_prob":0.83886075,"size":19571,"snap":"2022-27-2022-33","text_gpt3_token_len":4615,"char_repetition_ratio":0.14698216,"word_repetition_ratio":0.45278892,"special_character_ratio":0.22466916,"punctuation_ratio":0.14371447,"nsfw_num_words":0,"has_unicode_error... |
https://yutsumura.com/is-the-derivative-linear-transformation-diagonalizable/ | [
"# Is the Derivative Linear Transformation Diagonalizable?",
null,
"## Problem 690\n\nLet $\\mathrm{P}_2$ denote the vector space of polynomials of degree $2$ or less, and let $T : \\mathrm{P}_2 \\rightarrow \\mathrm{P}_2$ be the derivative linear transformation, defined by\n$T( ax^2 + bx + c ) = 2ax + b .$\n\n... | [
null,
"https://yutsumura.com/wp-content/uploads/2017/06/Diagonalization-eye-catch-720x340.jpg",
null,
"https://yutsumura.com/wp-content/plugins/wp-favorite-posts/img/loading.gif",
null,
"https://yutsumura.com/wp-content/plugins/wp-favorite-posts/img/loading.gif",
null,
"https://yutsumura.com/wp-conten... | {"ft_lang_label":"__label__en","ft_lang_prob":0.6879258,"math_prob":0.99996424,"size":2978,"snap":"2019-51-2020-05","text_gpt3_token_len":951,"char_repetition_ratio":0.11028917,"word_repetition_ratio":0.049079753,"special_character_ratio":0.33344525,"punctuation_ratio":0.10405644,"nsfw_num_words":0,"has_unicode_error":... |
https://www.clutchprep.com/chemistry/balancing-redox-reaction | [
"Ch.18 - ElectrochemistryWorksheetSee all chapters\n\n# Balancing Redox Reaction\n\nSee all sections\nSections\nRedox Reaction\nBalancing Redox Reaction\nThe Nernst Equation\nGalvanic Cell\nBatteries and Electricity\nNernst Equation (IGNORE)\n###### Balancing Oxidation-Reduction Reactions\n\nConcept #1: Balancing R... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.95793885,"math_prob":0.9652749,"size":18422,"snap":"2021-31-2021-39","text_gpt3_token_len":4688,"char_repetition_ratio":0.18693669,"word_repetition_ratio":0.07403156,"special_character_ratio":0.25540116,"punctuation_ratio":0.11860524,"nsfw_num_words":0,"has_unicode_error"... |
https://sqlserverfast.com/blog/hugo/2006/09/the-prime-number-challenge-great-waste-of-time/ | [
"# The prime number challenge – great waste of time!\n\nNo sane person would even consider using SQL Server to construct a list of prime numbers. So just to prove that I’m not sane (as if there could be any doubt!), this post will be about finding prime numbers.\n\nFirst a bit of history. Ward Pond wrote about effi... | [
null,
"https://secure.gravatar.com/avatar/",
null,
"https://secure.gravatar.com/avatar/",
null,
"https://secure.gravatar.com/avatar/",
null,
"https://secure.gravatar.com/avatar/",
null,
"https://secure.gravatar.com/avatar/",
null,
"https://secure.gravatar.com/avatar/",
null,
"https://secur... | {"ft_lang_label":"__label__en","ft_lang_prob":0.8312228,"math_prob":0.9222798,"size":14521,"snap":"2022-27-2022-33","text_gpt3_token_len":4210,"char_repetition_ratio":0.13983606,"word_repetition_ratio":0.20298165,"special_character_ratio":0.29743132,"punctuation_ratio":0.11045365,"nsfw_num_words":0,"has_unicode_error":... |
http://re.mcalls.cn/qspevdu_t1002001/ | [
"• 防诈骗中心\n• 客服中心 |\n• 网站导航 |\n• 设为主页 |\n• 加入收藏\n• 您当前位置： 首页>产品库>工业品>照明工业\n相关分类：\n• 湖南\n• 长沙市\n• 常德市\n• 郴州市\n• 衡阳市\n• 怀化市\n• 娄底市\n• 邵阳市\n• 湘潭市\n• 湘西土家族苗族自治州\n• 益阳市\n• 永州市\n• 岳阳市\n• 张家界市\n• 株洲市\n• 山西\n• 长治市\n• 大同市\n• 晋城市\n• 晋中市\n• 临汾市\n• 吕梁市\n• 朔州市\n• 太原市\n• 忻州市\n• 阳泉市\n• 运城市\n• 安徽\n• 安庆市\n• 蚌埠市\n• 亳州市\n• 巢湖市\n• 池州市\... | [
null,
"http://imagebooksir.258fuwu.com/images/business/2018514/14/3646944651526277773.pjpeg",
null,
"http://imagebooksir.258fuwu.com/images/business/2017729/11/597c011ee0771.jpg",
null,
"http://img.files.swws.258.com/1/2017/0608/17/59391ebce89a4.jpg",
null,
"http://image-ali.bianjiyi.com//swws/2019/04... | {"ft_lang_label":"__label__zh","ft_lang_prob":0.65651006,"math_prob":0.407911,"size":446,"snap":"2020-10-2020-16","text_gpt3_token_len":550,"char_repetition_ratio":0.14932127,"word_repetition_ratio":0.0,"special_character_ratio":0.24215247,"punctuation_ratio":0.39333335,"nsfw_num_words":0,"has_unicode_error":false,"mat... |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.