URL stringlengths 15 1.68k | text_list listlengths 1 199 | image_list listlengths 1 199 | metadata stringlengths 1.19k 3.08k |
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https://www.equationsworksheets.net/solving-equations-with-algebra-tiles-worksheet/ | [
"# Solving Equations With Algebra Tiles Worksheet\n\nSolving Equations With Algebra Tiles Worksheet – Expressions and Equations Worksheets are designed to aid children in learning quicker and more effectively. These worksheets contain interactive exercises and questions determined by the order in which operations a... | [
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"https://www.equationsworksheets.net/wp-content/uploads/2022/03/algebra-tiles-worksheets-7th-grade-pdf-worksheet.jpg",
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"https://www.equationsworksheets.net/wp-content/uploads/2022/03/free-worksheets-for-linear-equations-grades-6-9-pre-4.jpg",
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"https://www.equationsworksheets.net/wp-conte... | {"ft_lang_label":"__label__en","ft_lang_prob":0.95934576,"math_prob":0.9530744,"size":3458,"snap":"2023-40-2023-50","text_gpt3_token_len":642,"char_repetition_ratio":0.17689635,"word_repetition_ratio":0.032432433,"special_character_ratio":0.17958358,"punctuation_ratio":0.07364976,"nsfw_num_words":0,"has_unicode_error":... |
https://cstheory.stackexchange.com/questions/38058/almost-sorting-integers-in-linear-time | [
"# \"Almost sorting\" integers in linear time\n\nI am interested in sorting an array of positive integer values $$L = v_1, \\ldots, v_n$$ in linear time (in the RAM model with uniform cost measure, i.e., integers can have up to logarithmic size but arithmetic operations on them are assumed to take unit time). Of co... | [
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] | {"ft_lang_label":"__label__en","ft_lang_prob":0.8714552,"math_prob":0.9984621,"size":3344,"snap":"2022-40-2023-06","text_gpt3_token_len":1029,"char_repetition_ratio":0.12185629,"word_repetition_ratio":0.046979867,"special_character_ratio":0.3199761,"punctuation_ratio":0.10391363,"nsfw_num_words":0,"has_unicode_error":f... |
https://www.tutorialspoint.com/statistics/continuous_series_arithmetic_mode.htm | [
"# Statistics - Continuous Series Arithmetic Mode\n\nWhen data is given based on ranges along with their frequencies. Following is an example of continous series −\n\n Items Frequency 0-5 5-10 10-20 20-30 30-40 2 5 1 3 12\n\n## Formula\n\n$M_o = {L} + \\frac{f_1-f0}{2f_1-f_0-f_2} \\times {i}$\n\nWhere −\n\n• ${M_o}... | [
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] | {"ft_lang_label":"__label__en","ft_lang_prob":0.7929007,"math_prob":0.999869,"size":1298,"snap":"2021-31-2021-39","text_gpt3_token_len":419,"char_repetition_ratio":0.102009274,"word_repetition_ratio":0.027272727,"special_character_ratio":0.37365177,"punctuation_ratio":0.054166667,"nsfw_num_words":0,"has_unicode_error":... |
https://support.spanlogic.net/community/a3879/statistics-assignment-best-help.aspx | [
"Statistics Assignment Best Help\nIdea shared by DE99985@GMAIL.COM - March 26 at 7:25 PM\nProposed",
null,
"Statistics Definition\nStatistics is one of the crucial and most robust branches of maths which is used to deal with data collection, organization, analysis, and presentation https://www.allhomeworkassign... | [
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"https://support.spanlogic.net/AvatarHandler.ashx",
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] | {"ft_lang_label":"__label__en","ft_lang_prob":0.91839874,"math_prob":0.95658547,"size":3042,"snap":"2021-04-2021-17","text_gpt3_token_len":577,"char_repetition_ratio":0.14285715,"word_repetition_ratio":0.019823788,"special_character_ratio":0.17587113,"punctuation_ratio":0.11153119,"nsfw_num_words":0,"has_unicode_error"... |
https://stats.stackexchange.com/questions/390777/how-to-compute-integrated-squared-error-for-kernel-density-estimation-in-r | [
"How to compute Integrated Squared Error for kernel density estimation in R\n\nI am working on R for kernel density estimation. I am testing different kernels and I need to evaluate them. I use next code for density estimation:\n\nset.seed(1)\nx1 <- rnorm(250)\n#Computing of bandwidth\nh1 <- bw.ucv(x1)\n#Estimate\n... | [
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] | {"ft_lang_label":"__label__en","ft_lang_prob":0.85087955,"math_prob":0.98363525,"size":758,"snap":"2022-05-2022-21","text_gpt3_token_len":205,"char_repetition_ratio":0.12732096,"word_repetition_ratio":0.0,"special_character_ratio":0.25989446,"punctuation_ratio":0.09803922,"nsfw_num_words":0,"has_unicode_error":false,"m... |
http://www.enhancestyleteam.com/round-beam-deflection-formula/ | [
"# Round Beam Deflection Formula",
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"What is deflection skyciv cloud structural ysis beam stress deflection mechanicalc castigliano an overview sciencedirect topics doitpoms tlp library bending and torsion of beams solution to problem 512 flexure formula strength of\n\nSolved Table 5 1 Deflection And Stiff... | [
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"http://www.enhancestyleteam.com/featuredimage/round+beam+deflection+formula.jpg",
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"https://1.gravatar.com/avatar/7301e310f65feefdb266d1db9eb34654",
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] | {"ft_lang_label":"__label__en","ft_lang_prob":0.5190553,"math_prob":0.86884815,"size":1373,"snap":"2019-51-2020-05","text_gpt3_token_len":305,"char_repetition_ratio":0.23374726,"word_repetition_ratio":0.15873016,"special_character_ratio":0.14566642,"punctuation_ratio":0.0,"nsfw_num_words":0,"has_unicode_error":false,"m... |
https://researchdatapod.com/python-numpy-ndarray-not-callable/ | [
"# How to Solve Python ‘numpy.ndarray’ object is not callable\n\nnumpy is a Python library for manipulating and numerical analysis of large, multi-dimensional arrays. Numpy’s N-dimensional arrays or ndarray is like any regular python array; you access its contents using indexing. To retrieve an item from a ndarray,... | [
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] | {"ft_lang_label":"__label__en","ft_lang_prob":0.8283853,"math_prob":0.82067084,"size":4496,"snap":"2022-40-2023-06","text_gpt3_token_len":994,"char_repetition_ratio":0.13713267,"word_repetition_ratio":0.043895748,"special_character_ratio":0.22197509,"punctuation_ratio":0.10280374,"nsfw_num_words":0,"has_unicode_error":... |
https://spark.incubator.apache.org/docs/2.2.0/api/java/org/apache/spark/graphx/lib/PageRank.html | [
"org.apache.spark.graphx.lib\n\n## Class PageRank\n\n• Object\n• org.apache.spark.graphx.lib.PageRank\n\n• public class PageRank\nextends Object\nPageRank algorithm implementation. There are two implementations of PageRank implemented.\n\nThe first implementation uses the standalone Graph interface and runs PageRan... | [
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] | {"ft_lang_label":"__label__en","ft_lang_prob":0.50917494,"math_prob":0.75691706,"size":4985,"snap":"2022-40-2023-06","text_gpt3_token_len":1290,"char_repetition_ratio":0.16462557,"word_repetition_ratio":0.5264,"special_character_ratio":0.23570712,"punctuation_ratio":0.16516854,"nsfw_num_words":0,"has_unicode_error":fal... |
https://gamedev.stackexchange.com/questions/69545/quaternion-lerp-never-reaches-target | [
"# Quaternion Lerp never reaches target\n\nI seem to have misunderstood something about how LERP works. Im not sure what is missing. The object is rotating as it should, but it cant seem to get it to end. The transform.rotation dont seem to reach its target even if it has done so visually.\n\nQuaternion rotationTar... | [
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] | {"ft_lang_label":"__label__en","ft_lang_prob":0.6790632,"math_prob":0.9461256,"size":1555,"snap":"2023-14-2023-23","text_gpt3_token_len":355,"char_repetition_ratio":0.22243714,"word_repetition_ratio":0.0,"special_character_ratio":0.23344052,"punctuation_ratio":0.26180258,"nsfw_num_words":0,"has_unicode_error":false,"ma... |
http://mathonline.wikidot.com/outer-measures-on-measurable-spaces | [
"Outer Measures on Measurable Spaces\n Definition: Let $(X, \\mathcal P(X))$ be a measurable space. An Outer Measure on this space is a set function $\\mu^* : \\mathcal P(X) \\to [0, \\infty]$ with the following properties: 1) $\\mu^*(\\emptyset) = 0$. 2) If $A$ and $B$ are subsets of $X$ and $A \\subseteq B$ then ... | [
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] | {"ft_lang_label":"__label__en","ft_lang_prob":0.65224224,"math_prob":1.0000064,"size":1243,"snap":"2019-43-2019-47","text_gpt3_token_len":448,"char_repetition_ratio":0.14124294,"word_repetition_ratio":0.071794875,"special_character_ratio":0.36765888,"punctuation_ratio":0.09504132,"nsfw_num_words":0,"has_unicode_error":... |
https://republicofsouthossetia.org/question/suppose-you-just-received-a-shipment-of-eight-televisions-three-of-the-televisions-are-defective-15136883-3/ | [
"## Suppose you just received a shipment of eight televisions. Three of the televisions are defective. If two televisions are randomly selected\n\nQuestion\n\nSuppose you just received a shipment of eight televisions. Three of the televisions are defective. If two televisions are randomly selected, compute the pr... | [
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"https://republicofsouthossetia.org/wp-content/ql-cache/quicklatex.com-e5b81ad13b8e267f6be5cb921c241ba7_l3.png",
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"https://republicofsouthossetia.org/wp-content/ql-cache/quicklatex.com-42fe74d22148a6225a0f5d7f14466547_l3.png",
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"https://republicofsouthossetia.org/wp-content/ql-cache/quickl... | {"ft_lang_label":"__label__en","ft_lang_prob":0.9345445,"math_prob":0.9004048,"size":1242,"snap":"2021-31-2021-39","text_gpt3_token_len":302,"char_repetition_ratio":0.23828755,"word_repetition_ratio":0.38118812,"special_character_ratio":0.23832528,"punctuation_ratio":0.098712444,"nsfw_num_words":0,"has_unicode_error":f... |
https://studenttheses.uu.nl/handle/20.500.12932/43308?show=full | [
"dc.rights.license CC-BY-NC-ND dc.contributor.advisor Hanssmann, Heinz dc.contributor.author Huiszoon, Constant dc.date.accessioned 2022-12-10T00:00:36Z dc.date.available 2022-12-10T00:00:36Z dc.date.issued 2022 dc.identifier.uri https://studenttheses.uu.nl/handle/20.500.12932/43308 dc.description.abstract It is sh... | [
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] | {"ft_lang_label":"__label__en","ft_lang_prob":0.7931426,"math_prob":0.65952665,"size":1962,"snap":"2023-40-2023-50","text_gpt3_token_len":514,"char_repetition_ratio":0.15730338,"word_repetition_ratio":0.4389313,"special_character_ratio":0.22884811,"punctuation_ratio":0.17166212,"nsfw_num_words":0,"has_unicode_error":fa... |
https://answers.everydaycalculation.com/add-fractions/2-15-plus-5-10 | [
"Solutions by everydaycalculation.com\n\n2/15 + 5/10 is 19/30.\n\n1. Find the least common denominator or LCM of the two denominators:\nLCM of 15 and 10 is 30\n2. For the 1st fraction, since 15 × 2 = 30,\n2/15 = 2 × 2/15 × 2 = 4/30\n3. Likewise, for the 2nd fraction, since 10 × 3 = 30,\n5/10 = 5 × 3/10 × 3 = 15/30"... | [
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] | {"ft_lang_label":"__label__en","ft_lang_prob":0.52100325,"math_prob":0.9999467,"size":334,"snap":"2019-26-2019-30","text_gpt3_token_len":156,"char_repetition_ratio":0.29090908,"word_repetition_ratio":0.0,"special_character_ratio":0.56586826,"punctuation_ratio":0.06741573,"nsfw_num_words":0,"has_unicode_error":false,"ma... |
https://technologymoon.com/what-are-the-very-basic-properties-which-you-need-to-know-about-a-regular-hexagon/ | [
"# What are the very basic properties which you need to know about a regular hexagon?\n\nA regular hexagon is a closed shape polygon that will be having six equal sides and six equal angles. In the case of any kind of regular polygon the sides and angles will be equal for example regular pentagon will be having fiv... | [
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"https://technologymoon.com/wp-content/uploads/2021/07/Screenshot-2021-07-06-at-7.33.07-PM-260x195.png",
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"https://technologymoon.com/wp-content/uploads/2020/02/Canva-Visual-charts-on-pink.jpg",
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"https://technologymoon.com/wp-content/uploads/2021/02/Screenshot-2021-02-02-at-10.35.26-AM-26... | {"ft_lang_label":"__label__en","ft_lang_prob":0.94667053,"math_prob":0.95371044,"size":3445,"snap":"2022-05-2022-21","text_gpt3_token_len":732,"char_repetition_ratio":0.20371985,"word_repetition_ratio":0.104501605,"special_character_ratio":0.20638606,"punctuation_ratio":0.044615384,"nsfw_num_words":0,"has_unicode_error... |
http://yb0ah.tripod.com/tech/main.html | [
"",
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"",
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"# Basic Electronics Formulas",
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"of Electronics Component\n\nBASIC ELECTRIC CIRCUITS\nOHM'S LAW",
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"KIRCHOFF'S LAWS\n\nThe sum of the voltage drops around a series circuit equals the applied voltage",
null,
"E(applied)=E1+E2+....En\n\nThe current flowing toward a p... | [
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"http://ly.lygo.com/ly/tpSite/images/freeAd2.jpg",
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"http://yb0ah.tripod.com/images/hb_banner.gif",
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"http://yb0ah.tripod.com/tech/pix/clcode.gif",
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"http://yb0ah.tripod.com/tech/pix/cir1.gif",
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"http://yb0ah.tripod.com/tech/pix/kirch1.gif",
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"http://yb0ah.tripod... | {"ft_lang_label":"__label__en","ft_lang_prob":0.81448054,"math_prob":0.9976189,"size":1947,"snap":"2019-13-2019-22","text_gpt3_token_len":564,"char_repetition_ratio":0.17601646,"word_repetition_ratio":0.068571426,"special_character_ratio":0.24242425,"punctuation_ratio":0.047169812,"nsfw_num_words":0,"has_unicode_error"... |
https://genomebiology.biomedcentral.com/articles/10.1186/gb-2001-2-1-research0003 | [
"Skip to content\n• Research\n• Open Access\n\n# Supervised harvesting of expression trees\n\nGenome Biology20012:research0003.1\n\nhttps://doi.org/10.1186/gb-2001-2-1-research0003\n\n• Received: 24 August 2000\n• Accepted: 21 November 2000\n• Published:\n\n## Abstract\n\n### Background\n\nWe propose a new method f... | [
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"https://media.springernature.com/lw785/springer-static/image/art%3A10.1186%2Fgb-2001-2-1-research0003/MediaObjects/13059_2000_Article_205_IEq1_HTML.gif",
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"https://media.springernature.com/lw785/springer-static/image/art%3A10.1186%2Fgb-2001-2-1-research0003/MediaObjects/13059_2000_Article_205_IEq1... | {"ft_lang_label":"__label__en","ft_lang_prob":0.8920451,"math_prob":0.94074416,"size":24927,"snap":"2019-13-2019-22","text_gpt3_token_len":5994,"char_repetition_ratio":0.15006219,"word_repetition_ratio":0.020467132,"special_character_ratio":0.24615878,"punctuation_ratio":0.14248808,"nsfw_num_words":0,"has_unicode_error... |
https://forum.digilentinc.com/topic/1641-analog-discovery-2-with-current-measurement-capability/ | [
"## Question\n\nWould it make the Analog Discovery 2 more powerful device if it is added the feature to measure current too? Furthermore it can still draw the IV-Characteristic curve using XY draw function in Oscilloscope for which we use some low value resistor etc. But will it be not more easy to use and be preci... | [
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] | {"ft_lang_label":"__label__en","ft_lang_prob":0.8894735,"math_prob":0.87044066,"size":984,"snap":"2019-51-2020-05","text_gpt3_token_len":208,"char_repetition_ratio":0.095918365,"word_repetition_ratio":0.9230769,"special_character_ratio":0.199187,"punctuation_ratio":0.047872342,"nsfw_num_words":0,"has_unicode_error":fal... |
http://www.sta-umc.com/archives/4074.html | [
"# PHP对象转变为数组函数_php才具_脚本之家\n\n1. \\$arr = array(); \\$arr[] = ”; 2. \\$arr = array(); array_push;\n刚做一个100000次的循环插入，结果还是第一种要快一些！（循环插入数字，100000次，第一种0.04左右，第二种0.08秒左右）\n\nange,range;//创建顺序值的数组如:range又如range按顺序返回数组的当前元素,并且将下一个元素设置为当前元素;\nreset将数组当前元素重新设置到数组开始处\nlist()可以用来将一个数组分解为一系列的值,如 list\nshuffle,array_rand;对数组随机排... | [
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] | {"ft_lang_label":"__label__zh","ft_lang_prob":0.6747749,"math_prob":0.9652292,"size":5622,"snap":"2019-51-2020-05","text_gpt3_token_len":2761,"char_repetition_ratio":0.18049128,"word_repetition_ratio":0.1085044,"special_character_ratio":0.2730345,"punctuation_ratio":0.22360249,"nsfw_num_words":0,"has_unicode_error":fal... |
https://apboardsolutions.in/ap-board-8th-class-maths-solutions-chapter-13-ex-13-2/ | [
"# AP Board 8th Class Maths Solutions Chapter 13 Visualizing 3-D in 2-D Ex 13.2\n\nAP State Syllabus AP Board 8th Class Maths Solutions Chapter 13 Visualizing 3-D in 2-D Ex 13.2 Textbook Questions and Answers.\n\n##",
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"Question 1.\nCount the number of faces , vertices , and edges of given polyhedra and ve... | [
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"https://apboardsolutions.in/wp-content/uploads/2020/12/AP-Board-Solutions.png",
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"https://apboardsolutions.in/wp-content/uploads/2021/03/AP-Board-8th-Class-Maths-Solutions-Chapter-13-Visualizing-3-D-in-2-D-Ex-13.2-1.png",
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"https://apboardsolutions.in/wp-content/uploads/2021/03/AP-Board-8... | {"ft_lang_label":"__label__en","ft_lang_prob":0.8551861,"math_prob":0.9829654,"size":2526,"snap":"2022-27-2022-33","text_gpt3_token_len":792,"char_repetition_ratio":0.14155433,"word_repetition_ratio":0.019027485,"special_character_ratio":0.31393507,"punctuation_ratio":0.13584906,"nsfw_num_words":0,"has_unicode_error":f... |
https://blender.stackexchange.com/questions/29083/applying-rotation-location-and-scale-to-model-bones | [
"# Applying rotation, location and scale to model bones\n\nI'm not an expert in 3D but I'm using Blender to change model's poses. I have a JSON object which describes how each bone will rotate, translate and scale:\n\n{\n\"name\": \"Soldier\",\n\"id\": \"TestId\",\n\"animMatrices\": [\n{\n\"name\": \"mixamorig:Spin... | [
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] | {"ft_lang_label":"__label__en","ft_lang_prob":0.7437362,"math_prob":0.9149554,"size":1526,"snap":"2019-35-2019-39","text_gpt3_token_len":497,"char_repetition_ratio":0.14651774,"word_repetition_ratio":0.030927835,"special_character_ratio":0.43184796,"punctuation_ratio":0.29376855,"nsfw_num_words":0,"has_unicode_error":f... |
https://www.upczilla.com/online-upc-validation-tool/?validate-upc=693392615039 | [
"## DON'T GO SHOPPINGwithout the UPCZilla app! The stores hate it ;)",
null,
"# Online UPC validation tool\n\nUPCZilla’s tool for validating UPCs which also gives you a handy explanation of how the validation was performed.\n\n693392615039 is a valid UPC-A (though that doesn't mean it's assigned to any products... | [
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"https://play.google.com/intl/en_us/badges/images/generic/en_badge_web_generic.png",
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] | {"ft_lang_label":"__label__en","ft_lang_prob":0.89340895,"math_prob":0.99368554,"size":1800,"snap":"2019-43-2019-47","text_gpt3_token_len":552,"char_repetition_ratio":0.1330735,"word_repetition_ratio":0.07253886,"special_character_ratio":0.33944446,"punctuation_ratio":0.06532663,"nsfw_num_words":0,"has_unicode_error":f... |
https://m.hausarbeiten.de/document/441517 | [
"Lade Inhalt...\n\n# Properties of Fluids in an Engineering Context\n\nVorlesungsmitschrift 2015 14 Seiten\n\n## Table of Contents\n\nIntroduction\n\nFluids\n\nProperties of Fluids\nDensity\nMass Density\nProblem 1.\nSpecific Weight\nRelative Density\nProblem 2.\n\nViscosity\nDynamic Viscosity (m)\nKinematic Viscos... | [
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"https://cdn.openpublishing.com/images/commons/blank.gif",
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] | {"ft_lang_label":"__label__en","ft_lang_prob":0.82543004,"math_prob":0.67811775,"size":3807,"snap":"2019-35-2019-39","text_gpt3_token_len":886,"char_repetition_ratio":0.13252695,"word_repetition_ratio":0.017605634,"special_character_ratio":0.21618073,"punctuation_ratio":0.10992366,"nsfw_num_words":0,"has_unicode_error"... |
https://tutorme.com/tutors/566365/interview/ | [
"Enable contrast version\n\n# Tutor profile: Tara S.\n\nTara S.\nMath Teacher\n\n## Questions\n\n### Subject:Geometry\n\nTutorMe\nQuestion:\n\nIf a triangle has two interior angles measuring 34 degrees and 48 degrees, what is the measure of the third interior angle? Classify the triangle as acute, right, or obtuse.... | [
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] | {"ft_lang_label":"__label__en","ft_lang_prob":0.86518353,"math_prob":0.7100788,"size":730,"snap":"2022-40-2023-06","text_gpt3_token_len":214,"char_repetition_ratio":0.1446281,"word_repetition_ratio":0.0,"special_character_ratio":0.3109589,"punctuation_ratio":0.15923567,"nsfw_num_words":0,"has_unicode_error":false,"math... |
https://tex.stackexchange.com/questions/102460/underbraces-in-matrix-divided-in-blocks | [
"# Underbraces in Matrix Divided in Blocks\n\nHow to put underbraces, inside the parenthesis of a matrix, to name both sides of the blocks?\n\n\\documentclass[a4paper,12pt]{article}\n\\usepackage{amsmath}\n\\usepackage{array}\n\\begin{document}\n.\n.\n.\n$\\left ( \\begin{array}{rrr|rrr} 0 & 0 & 0 & 0 & 0 & 0 \\\\ ... | [
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"https://i.stack.imgur.com/HQ0NZ.png",
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"https://i.stack.imgur.com/pTHlH.png",
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] | {"ft_lang_label":"__label__en","ft_lang_prob":0.7225811,"math_prob":0.9327276,"size":1323,"snap":"2020-24-2020-29","text_gpt3_token_len":439,"char_repetition_ratio":0.12888552,"word_repetition_ratio":0.07017544,"special_character_ratio":0.292517,"punctuation_ratio":0.12608695,"nsfw_num_words":0,"has_unicode_error":fals... |
https://techblog.thcb.org/how-do-i-count-the-number-of-lines-in-a-file-in-bash/ | [
"12.6 C\nJaipur\nTuesday, December 7, 2021\n\n# How Do I Count the Number of Lines in a File in Bash?\n\n### Better.com’s PR, comms, marketing heads submit resignations in wake of layoffs fiasco – TechCrunch\n\nIn any code or a program, sometimes such a situation exists where we need to know how big the data of the... | [
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"https://techblog.thcb.org/wp-content/uploads/2021/08/1630437950_440_How-Do-I-Count-the-Number-of-Lines-in-a.png",
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"https://techblog.thcb.org/wp-content/uploads/2021/08/1630437950_576_How-Do-I-Count-the-Number-of-Lines-in-a.png",
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"https://techblog.thcb.org/wp-content/uploads/2021/08/1630... | {"ft_lang_label":"__label__en","ft_lang_prob":0.908263,"math_prob":0.66935486,"size":6384,"snap":"2021-43-2021-49","text_gpt3_token_len":1516,"char_repetition_ratio":0.17805642,"word_repetition_ratio":0.03311258,"special_character_ratio":0.23856516,"punctuation_ratio":0.104432754,"nsfw_num_words":0,"has_unicode_error":... |
https://proofassistants.stackexchange.com/questions/1360/calculus-of-inductive-constructions-do-inductive-definitions-increase-proof-s/1383 | [
"# Calculus of (inductive) Constructions: Do inductive definitions increase proof strength?\n\n## Question\n\nIs CiC stronger than CoC, in terms of proof strength?\n\n## Context\n\nTo illustrate the kind of confusion I am in, and what I'd like to learn from the answer, here is part of my inner monologue:\n\nIf I ha... | [
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] | {"ft_lang_label":"__label__en","ft_lang_prob":0.8810964,"math_prob":0.9876349,"size":5363,"snap":"2022-27-2022-33","text_gpt3_token_len":1410,"char_repetition_ratio":0.11606643,"word_repetition_ratio":0.039281707,"special_character_ratio":0.2511654,"punctuation_ratio":0.105882354,"nsfw_num_words":0,"has_unicode_error":... |
https://www.icoders.in/2021/04/lowest-common-ancestor-lca-of-binary.html | [
"# Lowest Common Ancestor (LCA) of a Binary Tree\n\n#### Problem Statement\n\nGiven a Binary Tree with some nodes find the lowest common ancestor (LCA) of given any two Nodes of the Binary Tree.\n\nLCA of the Binary Tree is the deepest most node which has both the given nodes as its descendants and it is closest to... | [
null,
"https://1.bp.blogspot.com/-QUQ8bXuyEJ4/YG9oN43QcWI/AAAAAAAAAaI/6zndsGJw7WU1FF_MNGQsi7J4tzPRxOWeACLcBGAsYHQ/w616-h256/index.png",
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.7698606,"math_prob":0.977222,"size":2366,"snap":"2021-43-2021-49","text_gpt3_token_len":595,"char_repetition_ratio":0.14648603,"word_repetition_ratio":0.08374384,"special_character_ratio":0.2569738,"punctuation_ratio":0.13360325,"nsfw_num_words":0,"has_unicode_error":fals... |
http://heli-air.net/2016/02/13/blasius-solution-for-the-flat-plate-no-pressure-gradient/ | [
"Blasius Solution for the Flat Plate (No Pressure Gradient)",
null,
"In incompressible flow, the self-similar solution due to Blasius is based on the idea that the u-velocity profile is of the form\n\nwhere, as seen before, S(x) ~ , and n = Уф. If one introduces the stream\n\nfunction ф(х, y) = US(x)F(n), the g... | [
null,
"http://heli-air.net/img/3129/image1246.png",
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.7826245,"math_prob":0.9997434,"size":651,"snap":"2022-05-2022-21","text_gpt3_token_len":256,"char_repetition_ratio":0.114374034,"word_repetition_ratio":0.0,"special_character_ratio":0.42396313,"punctuation_ratio":0.14906833,"nsfw_num_words":0,"has_unicode_error":false,"ma... |
http://www.nematrian.com/AERM_7s6 | [
"/\n\n### var x2=document.getElementById(\"RandomWalkHyperlink\"); x2.setAttribute(\"width\",\"250\"); x2.setAttribute(\"height\",\"30\"); x2.setAttribute(\"style\",\"border: 1px solid black\"); var c2=x2.getContext(\"2d\"); var sigma=.06; var mu=0; var y=new Array; var r=new Array; var ylength=100; var i; var xplo... | [
null,
"http://www.nematrian.com/Pictures/AERM_7s/Slide6.PNG",
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.5980894,"math_prob":0.9964912,"size":208,"snap":"2019-43-2019-47","text_gpt3_token_len":60,"char_repetition_ratio":0.068627454,"word_repetition_ratio":0.0,"special_character_ratio":0.23076923,"punctuation_ratio":0.033333335,"nsfw_num_words":0,"has_unicode_error":false,"ma... |
https://code-red.uk/blog/js-equals/ | [
"So in JavaScript there a 3 types of equals `=` , `==` and `===` . So why so many and what are they for?\n\n## `=` single equals\n\nThis 1 is easy to understand, it's used to set a variable. For example `var age = 50;` .\n\nAs we know there are 3 ways to declare a variable:\n\n• `var`\n• `let`\n• `const`\n\nThe fir... | [
null,
"https://d33wubrfki0l68.cloudfront.net/5534f623a144adbbfb6abd64a3cdafc1d8bbd252/473ea/images/posts/default-post-image.jpg",
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.8686899,"math_prob":0.995987,"size":2449,"snap":"2023-40-2023-50","text_gpt3_token_len":611,"char_repetition_ratio":0.14969325,"word_repetition_ratio":0.06995885,"special_character_ratio":0.279706,"punctuation_ratio":0.110416666,"nsfw_num_words":0,"has_unicode_error":fals... |
https://answers.everydaycalculation.com/subtract-fractions/70-4-minus-9-20 | [
"# Answers\n\nSolutions by everydaycalculation.com\n\n## Subtract 9/20 from 70/4\n\n1st number: 17 2/4, 2nd number: 9/20\n\n70/4 - 9/20 is 341/20.\n\n#### Steps for subtracting fractions\n\n1. Find the least common denominator or LCM of the two denominators:\nLCM of 4 and 20 is 20\n\nNext, find the equivalent fract... | [
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"https://answers.everydaycalculation.com/mathstep-app-icon.png",
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] | {"ft_lang_label":"__label__en","ft_lang_prob":0.75191176,"math_prob":0.97432643,"size":800,"snap":"2021-21-2021-25","text_gpt3_token_len":329,"char_repetition_ratio":0.1620603,"word_repetition_ratio":0.0,"special_character_ratio":0.4925,"punctuation_ratio":0.08510638,"nsfw_num_words":0,"has_unicode_error":false,"math_p... |
https://southsudan.afriqo.com/secondary-syllabus/ | [
"## Mathematics Syllabus\n\n• Secondary 1\n• Secondary 2\n• Secondary 3\n• Secondary 4\n\n### Numerical Concepts\n\n• Understand natural numbers, prime factors, multiples, GCD, HCF and LCM\n• Know types of fractions\n• Calculating squares and square roots of numbers Solving problems involving direct and indirect pr... | [
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] | {"ft_lang_label":"__label__en","ft_lang_prob":0.81655645,"math_prob":0.97988504,"size":13534,"snap":"2023-40-2023-50","text_gpt3_token_len":2807,"char_repetition_ratio":0.16925351,"word_repetition_ratio":0.028672032,"special_character_ratio":0.17999113,"punctuation_ratio":0.08767535,"nsfw_num_words":0,"has_unicode_erro... |
https://hiredintech.com/algorithms/computational-complexity/time-complexity/ | [
"## Time complexity\n\nLet’s look at some examples in order to get a better understanding of time complexity of an algorithm. Later we will also look at memory complexity as this is another limited resource that we have to deal with.\n\nFirst of all, time complexity will be measured in terms of the input size. As y... | [
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] | {"ft_lang_label":"__label__en","ft_lang_prob":0.9283942,"math_prob":0.9736356,"size":5550,"snap":"2023-40-2023-50","text_gpt3_token_len":1244,"char_repetition_ratio":0.13072485,"word_repetition_ratio":0.025096525,"special_character_ratio":0.22648649,"punctuation_ratio":0.07836153,"nsfw_num_words":0,"has_unicode_error":... |
https://www.bionicturtle.com/forum/tags/probability/ | [
"What's new\n\n# probability\n\n1. ### Miller chapter 3\n\nHow will we solve the same by problem by using 70 and 30 percent probability sum by taking probailiy 70 and 30\n2. ### Probability\n\nWhat is empirical probability if we roll a dice once what is the probability of receiving 3 on a dice (ans 18%)?\n3. ### CF... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.95062625,"math_prob":0.87248427,"size":1764,"snap":"2020-45-2020-50","text_gpt3_token_len":357,"char_repetition_ratio":0.13181818,"word_repetition_ratio":0.0,"special_character_ratio":0.207483,"punctuation_ratio":0.1382353,"nsfw_num_words":0,"has_unicode_error":false,"mat... |
https://convertoctopus.com/25-kilometers-to-millimeters | [
"## Conversion formula\n\nThe conversion factor from kilometers to millimeters is 1000000, which means that 1 kilometer is equal to 1000000 millimeters:\n\n1 km = 1000000 mm\n\nTo convert 25 kilometers into millimeters we have to multiply 25 by the conversion factor in order to get the length amount from kilometers... | [
null,
"https://convertoctopus.com/images/25-kilometers-to-millimeters",
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.7074298,"math_prob":0.99787015,"size":1807,"snap":"2020-24-2020-29","text_gpt3_token_len":439,"char_repetition_ratio":0.31946754,"word_repetition_ratio":0.0,"special_character_ratio":0.29994467,"punctuation_ratio":0.055363324,"nsfw_num_words":0,"has_unicode_error":false,"... |
https://www.varsitytutors.com/precalculus-help/use-product-sum-identities-to-express-a-product-as-a-sum-or-difference | [
"Precalculus : Use Product/Sum Identities to Express a Product as a Sum or Difference\n\nExample Questions\n\nExample Question #36 : Trigonometric Identities\n\nWhich of the following expressions best represent",
null,
"?",
null,
"",
null,
"",
null,
"",
null,
"",
null,
"",
null,
"Explana... | [
null,
"https://vt-vtwa-assets.varsitytutors.com/vt-vtwa/uploads/formula_image/image/362084/gif.latex",
null,
"https://vt-vtwa-assets.varsitytutors.com/vt-vtwa/uploads/formula_image/image/362054/gif.latex",
null,
"https://vt-vtwa-assets.varsitytutors.com/vt-vtwa/uploads/formula_image/image/362053/gif.latex... | {"ft_lang_label":"__label__en","ft_lang_prob":0.8758835,"math_prob":0.969457,"size":1865,"snap":"2019-43-2019-47","text_gpt3_token_len":410,"char_repetition_ratio":0.14347126,"word_repetition_ratio":0.030395137,"special_character_ratio":0.21072386,"punctuation_ratio":0.108571425,"nsfw_num_words":0,"has_unicode_error":f... |
https://www.physicsforums.com/threads/relativity-electric-currents-and-magnetic-fields.383153/ | [
"# Relativity, Electric Currents and Magnetic Fields\n\n## Main Question or Discussion Point\n\nSuppose we have a current-carrying wire and an electric charge which is moving parallel to the wire with the same speed and direction as the electrons in the wire. The wire produces a magnetic field which acts upon the c... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.92617923,"math_prob":0.99343693,"size":1394,"snap":"2020-24-2020-29","text_gpt3_token_len":287,"char_repetition_ratio":0.15899281,"word_repetition_ratio":0.34854773,"special_character_ratio":0.20301291,"punctuation_ratio":0.086792454,"nsfw_num_words":0,"has_unicode_error"... |
https://mizar.uwb.edu.pl/JFM/Vol1/parsp_1.html | [
"Journal of Formalized Mathematics\nVolume 1, 1989\nUniversity of Bialystok\nCopyright (c) 1989 Association of Mizar Users\n\n## Parallelity Spaces\n\nEugeniusz Kusak\nWarsaw University, Bialystok\nWojciech Leonczuk\nWarsaw University, Bialystok\nMichal Muzalewski\nWarsaw University, Bialystok\n\n### Summary.\n\nIn... | [
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] | {"ft_lang_label":"__label__en","ft_lang_prob":0.6090822,"math_prob":0.7359951,"size":2404,"snap":"2023-40-2023-50","text_gpt3_token_len":750,"char_repetition_ratio":0.16,"word_repetition_ratio":0.08169014,"special_character_ratio":0.28327787,"punctuation_ratio":0.21333334,"nsfw_num_words":0,"has_unicode_error":false,"m... |
https://math.stackexchange.com/questions/3306513/the-derivation-of-geodesic-lines-on-a-riemann-surface | [
"# The derivation of geodesic lines on a Riemann surface\n\nI am reading Jost's Compact Riemann Surfaces for the derivation of geodesic lines (page 29).\n\nThe books does it as follows. Let $$\\Sigma$$ be a compact Riemann surface with a conformal Riemannian metric $$\\lambda^2(z)dzd\\bar z$$ (given in local coordi... | [
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] | {"ft_lang_label":"__label__en","ft_lang_prob":0.5932975,"math_prob":0.9999188,"size":2320,"snap":"2019-43-2019-47","text_gpt3_token_len":839,"char_repetition_ratio":0.21934369,"word_repetition_ratio":0.0,"special_character_ratio":0.3387931,"punctuation_ratio":0.056485355,"nsfw_num_words":0,"has_unicode_error":false,"ma... |
https://www.mathgoodies.com/Webquests/number_theory | [
"# Number Theory",
null,
"### Introduction\n\nNumber theory is an exciting area of mathematics, with many practical applications. Some day, you may need to use factors to help you build a yard with a specific area, or use multiples to solve a scheduling problem at work. Many topics from elementary number theory... | [
null,
"https://www.mathgoodies.com/sites/default/files/webquests_files/new-head-mglogo-cropped.gif",
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] | {"ft_lang_label":"__label__en","ft_lang_prob":0.9071561,"math_prob":0.7303705,"size":3085,"snap":"2023-40-2023-50","text_gpt3_token_len":684,"char_repetition_ratio":0.11814346,"word_repetition_ratio":0.03551402,"special_character_ratio":0.22139384,"punctuation_ratio":0.12649573,"nsfw_num_words":0,"has_unicode_error":fa... |
https://chem.libretexts.org/Courses/University_of_California_Davis/UCD_Chem_110A%3A_Physical_Chemistry__I/UCD_Chem_110A%3A_Physical_Chemistry_I_(Larsen)/Text/10%3A_MathChapters/10.04%3A_D-_Spherical_Coordinates | [
"# 10.4: D- Spherical Coordinates\n\n•",
null,
"• Contributed by Marcia Levitus\n\nObjectives\n\n• Understand the concept of area and volume elements in cartesian, polar and spherical coordinates.\n• Be able to integrate functions expressed in polar or spherical coordinates.\n• Understand how to normalize orbit... | [
null,
"https://chem.libretexts.org/@api/deki/files/141536/Levitus.png",
null,
"https://chem.libretexts.org/@api/deki/files/141548/cartesian.jpg",
null,
"https://chem.libretexts.org/@api/deki/files/141549/polar.jpg",
null,
"https://chem.libretexts.org/@api/deki/files/141550/spherical.jpg",
null,
"h... | {"ft_lang_label":"__label__en","ft_lang_prob":0.7407903,"math_prob":0.9999732,"size":13198,"snap":"2021-21-2021-25","text_gpt3_token_len":4050,"char_repetition_ratio":0.1710626,"word_repetition_ratio":0.034650456,"special_character_ratio":0.30504623,"punctuation_ratio":0.11889188,"nsfw_num_words":0,"has_unicode_error":... |
https://www.gradesaver.com/textbooks/math/differential-equations-linear-algebra/linear-algebra-a-modern-introduction/chapter-1-vectors-1-2-length-and-angle-the-dot-product-exercises-1-2-page-290/1 | [
"## Linear Algebra: A Modern Introduction\n\nPublished by Cengage Learning\n\n# Chapter 1 - Vectors - 1.2 Length and Angle: The Dot Product - Exercises 1.2 - Page 290: 1\n\n-1\n\n#### Work Step by Step\n\nWe know that the dot product of $u$ and $v$ is defined as $u.v=u1v1+u2v2$. We have $u=[-1, 2]$ and $v=[3, 1]$. ... | [
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] | {"ft_lang_label":"__label__en","ft_lang_prob":0.8596275,"math_prob":0.8909902,"size":417,"snap":"2021-04-2021-17","text_gpt3_token_len":133,"char_repetition_ratio":0.10653753,"word_repetition_ratio":0.0,"special_character_ratio":0.32853717,"punctuation_ratio":0.10526316,"nsfw_num_words":0,"has_unicode_error":false,"mat... |
https://ask.sagemath.org/question/35057/bug-with-simplicial-complexes-or-computing-homology-in-sage-73/?answer=35065 | [
"# Bug with simplicial complexes or computing homology in Sage 7.3?\n\nI have the following code that has been running fine in Sage 6.5––Sage 7.2 on both my Mac OS 10.10.5 and a Unix system. I just tried upgrading to Sage 7.3 on my Mac, and it no longer works correctly. It doesn't crash, it just gives wrong answers... | [
null,
"https://www.gravatar.com/avatar/09b3ed8e80f5d4bc47ec4530dc2941d0",
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.77187955,"math_prob":0.8373902,"size":1755,"snap":"2023-40-2023-50","text_gpt3_token_len":565,"char_repetition_ratio":0.10793832,"word_repetition_ratio":0.008333334,"special_character_ratio":0.32364672,"punctuation_ratio":0.20898877,"nsfw_num_words":0,"has_unicode_error":... |
https://projects.coin-or.org/Cbc/browser/html/ch03.html?rev=561 | [
"# source:html/ch03.html@561\n\nLast change on this file since 561 was 561, checked in by ladanyi, 14 years ago\n\nCbc static pages moved\n\n• Property svn:eol-style set to `native`\n• Property svn:keywords set to `Author Date Id Revision`\nFile size: 14.2 KB\nLine\n1<?xml version=\"1.0\" encoding=\"ISO-8859-1\" st... | [
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] | {"ft_lang_label":"__label__en","ft_lang_prob":0.59506285,"math_prob":0.62117434,"size":14555,"snap":"2021-31-2021-39","text_gpt3_token_len":4189,"char_repetition_ratio":0.1709161,"word_repetition_ratio":0.02111437,"special_character_ratio":0.3345929,"punctuation_ratio":0.09241433,"nsfw_num_words":0,"has_unicode_error":... |
https://socratic.org/questions/what-is-the-area-of-the-largest-rectangle-that-can-be-inscribed-under-the-graph- | [
"# What is the area of the largest rectangle that can be inscribed under the graph of y=2 cos x for -π /2 ≤x ≤π /2?\n\nFeb 13, 2017\n\nMaximum area is $2.244 {\\text{ unit}}^{2}$ (3dp)\n\n#### Explanation:\n\nI assume that you man bounded by the x-axis also, otherwise the largest rectangle would be unbounded and th... | [
null,
"https://useruploads.socratic.org/aliBbXOwRUWgcwKtMFNU_Image1.jpg",
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.76412696,"math_prob":0.9999553,"size":1256,"snap":"2022-05-2022-21","text_gpt3_token_len":380,"char_repetition_ratio":0.15255591,"word_repetition_ratio":0.046153847,"special_character_ratio":0.36146498,"punctuation_ratio":0.132,"nsfw_num_words":0,"has_unicode_error":false... |
https://gregable.com/2013/10/majority-vote-algorithm-find-majority.html | [
"# Majority Voting Algorithm\n\n## Find the majority element in a list of values\n\nOct 6, 2013\n\nI haven't done an algorithms post in awhile, so the usual disclaimer first: If you don't find programming algorithms interesting, stop reading. This post is not for you.\n\n### Problem Statement\n\nImagine that you ha... | [
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] | {"ft_lang_label":"__label__en","ft_lang_prob":0.9046453,"math_prob":0.96563697,"size":8059,"snap":"2021-43-2021-49","text_gpt3_token_len":1930,"char_repetition_ratio":0.18199876,"word_repetition_ratio":0.028917283,"special_character_ratio":0.23489267,"punctuation_ratio":0.1143201,"nsfw_num_words":0,"has_unicode_error":... |
https://www.aboutbetting.com/glossary/fractional-odds/ | [
"# Fractional odds\n\nFractional odds are the odds traditionally favoured by British and Irish bookmakers. They are written in fraction form with a slash (/) or hyphen (-), and show the ratio of returns to stake.\n\nFractional odds consist of a numerator - the first number - and a denominator - the second number.\n... | [
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] | {"ft_lang_label":"__label__en","ft_lang_prob":0.8876765,"math_prob":0.9606722,"size":4025,"snap":"2021-43-2021-49","text_gpt3_token_len":989,"char_repetition_ratio":0.18875901,"word_repetition_ratio":0.14020029,"special_character_ratio":0.25291926,"punctuation_ratio":0.06882591,"nsfw_num_words":0,"has_unicode_error":fa... |
https://thekidsworksheet.com/factoring-quadratic-equations-worksheet/ | [
"",
null,
"Worksheet\n\n# Factoring Quadratic Equations Worksheet\n\nSolving quadratic equations with square roots 2. Factoring quadratic equations worksheets definition of a quadratic equation.",
null,
"Factoring Quadratic Expressions Color Worksheet 5 Expresiones Algebraicas Secundaria Matematicas Ecuacio... | [
null,
"https://thekidsworksheet.com/o/2020/11/73e91a606760ac3df7fdb0c0907a888c.jpg",
null,
"https://thekidsworksheet.com/o/2020/11/a2fffd21caff0cf4a620c66a95e54707.jpg",
null,
"https://i.pinimg.com/originals/d3/39/97/d33997d50f4335e1bd65f6c761946aab.gif",
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"https://thekidsworksheet.com/o/2020/11/... | {"ft_lang_label":"__label__en","ft_lang_prob":0.741421,"math_prob":0.99260575,"size":4191,"snap":"2021-21-2021-25","text_gpt3_token_len":1000,"char_repetition_ratio":0.33747312,"word_repetition_ratio":0.04477612,"special_character_ratio":0.18587449,"punctuation_ratio":0.03949447,"nsfw_num_words":0,"has_unicode_error":f... |
https://goprep.co/q33-a-motorboat-whose-speed-in-still-water-is-18-km-h-takes-i-1nm6gg | [
"Q. 33\n\n# A motorboat whose\n\nGiven :- Speed of boat =18km/hr\n\nDistance =24 km\n\nLet x be the speed of stream.\n\nLet t1 and t2 be the time for upstream and downstream.\n\nAs we know that,\n\nspeed= distance / time\n\ntime = distance / speed\n\nFor upstream,\n\nSpeed = (18 x) km/hr\n\nDistance = 24 km\n\nTime... | [
null,
"https://gradeup-question-images.grdp.co/liveData/PROJ63731/1603089257091433.png",
null,
"https://gradeup-question-images.grdp.co/liveData/PROJ63731/1603089257851797.png",
null,
"https://gradeup-question-images.grdp.co/liveData/PROJ63731/1603089258565457.png",
null,
"https://gradeup-question-ima... | {"ft_lang_label":"__label__en","ft_lang_prob":0.76378745,"math_prob":0.9999871,"size":1355,"snap":"2021-21-2021-25","text_gpt3_token_len":628,"char_repetition_ratio":0.13323463,"word_repetition_ratio":0.058333334,"special_character_ratio":0.50701106,"punctuation_ratio":0.08041958,"nsfw_num_words":2,"has_unicode_error":... |
https://pdincau.wordpress.com/tag/cox/ | [
"### Archive\n\nPosts Tagged ‘cox’\n\n## Similarity threshold computation for Cox watermarking\n\nIf you dive into watermarking field, you will have to deal for sure with Cox embedding technique.\n\nCox’s embedding works in the transform domain (e.g. DCT or DWT) while LSB works in the spatial domain. The idea behin... | [
null,
"https://pdincau.files.wordpress.com/2010/05/untitled.jpg",
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.8423214,"math_prob":0.97859174,"size":3895,"snap":"2020-10-2020-16","text_gpt3_token_len":949,"char_repetition_ratio":0.17938833,"word_repetition_ratio":0.040816326,"special_character_ratio":0.25905007,"punctuation_ratio":0.11615487,"nsfw_num_words":0,"has_unicode_error":... |
https://proofwiki.org/wiki/Body_under_Constant_Acceleration/Velocity_after_Time | [
"# Body under Constant Acceleration/Velocity after Time\n\n## Theorem\n\nLet $B$ be a body under constant acceleration $\\mathbf a$.\n\nThen:\n\n$\\mathbf v = \\mathbf u + \\mathbf a t$\n\nwhere:\n\n$\\mathbf u$ is the velocity at time $t = 0$\n$\\mathbf v$ is the velocity at time $t$.\n\n## Proof\n\nBy definiton o... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.63109934,"math_prob":1.0000079,"size":640,"snap":"2019-43-2019-47","text_gpt3_token_len":192,"char_repetition_ratio":0.21069182,"word_repetition_ratio":0.12149533,"special_character_ratio":0.2921875,"punctuation_ratio":0.09009009,"nsfw_num_words":0,"has_unicode_error":fal... |
https://mathoverflow.net/tags/intersection-theory/hot | [
"# Tag Info\n\n## Hot answers tagged intersection-theory\n\n17\n\nThis is very much a question of recent research, solved with varying degrees of generality in the papers listed below. Here is a summary. The rational map $\\mathbb{P}^{2}\\dashrightarrow \\mathbb{P}^2$ from the Hilbert scheme of $8$ points in $\\mat... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.8269917,"math_prob":0.9992292,"size":13032,"snap":"2021-04-2021-17","text_gpt3_token_len":4057,"char_repetition_ratio":0.1273411,"word_repetition_ratio":9.871669E-4,"special_character_ratio":0.3081645,"punctuation_ratio":0.12859812,"nsfw_num_words":0,"has_unicode_error":f... |
https://github.com/googleapis/python-bigquery/commit/45421e73bfcddb244822e6a5cd43be6bd1ca2256 | [
"{{ message }}\n\nfeat: Support parameterized NUMERIC, BIGNUMERIC, STRING, and BYTES ty…\n```…pes (#673)\n\n* parse parameterized schema info\n\n* Fixed SchemaField repr/key\n\n* Fix code duplication between _parse_schema_resource and from_api_repr\n\nMove new parameterized-type code from _parse_schema_resource to ... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.76472867,"math_prob":0.821017,"size":2439,"snap":"2021-43-2021-49","text_gpt3_token_len":504,"char_repetition_ratio":0.13059548,"word_repetition_ratio":0.39772728,"special_character_ratio":0.20295203,"punctuation_ratio":0.08290155,"nsfw_num_words":0,"has_unicode_error":fa... |
https://proceedings.mlr.press/v178/jin22b.html | [
"# Sharper Rates for Separable Minimax and Finite Sum Optimization via Primal-Dual Extragradient Methods\n\nYujia Jin, Aaron Sidford, Kevin Tian\nProceedings of Thirty Fifth Conference on Learning Theory, PMLR 178:4362-4415, 2022.\n\n#### Abstract\n\nWe design accelerated algorithms with improved rates for several ... | [
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] | {"ft_lang_label":"__label__en","ft_lang_prob":0.7385748,"math_prob":0.99931395,"size":6822,"snap":"2022-40-2023-06","text_gpt3_token_len":1995,"char_repetition_ratio":0.113229685,"word_repetition_ratio":0.8121607,"special_character_ratio":0.28935796,"punctuation_ratio":0.120539255,"nsfw_num_words":0,"has_unicode_error"... |
https://mattelararen.com/2013/03/10/795/ | [
"## Peculiar functions with descriptions\n\nThe cycloid describes the motion of a point on the perimeter of a wheel.\n\nThe tractoria (or tractrix) is a curve where the length of the tangent from the tangentialpoint to the x-axis has a constant length a. Its evolute is the chainline\n\ny = a cosh(x/a).\n\na partic... | [
null,
"https://0.gravatar.com/avatar/064252453f22de4e438e8c81f0005b58",
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.86363745,"math_prob":0.9531314,"size":496,"snap":"2019-13-2019-22","text_gpt3_token_len":139,"char_repetition_ratio":0.1097561,"word_repetition_ratio":0.0,"special_character_ratio":0.25,"punctuation_ratio":0.057692308,"nsfw_num_words":0,"has_unicode_error":false,"math_pro... |
https://www.pfeiffer-vacuum.com/en/know-how/basic-calculations/calculations/dimensioning-a-roots-pumping-station/ | [
"",
null,
"# 2.2 Calculations\n\n### 2.2.1 Dimensioning a Roots pumping station\n\nVarious preliminary considerations are first required in dimensioning a Roots pumping station.\n\n### Compression ratio\n\nThe compression ratio $K_0$ eof a Roots pump is typically between 5 and 70. To determine this ratio, we fi... | [
null,
"https://static.pfeiffer-vacuum.com/img/logo.svg",
null,
"https://static.pfeiffer-vacuum.com/img/technology/img/chap-2/img-2-2-EN.png",
null,
"https://static.pfeiffer-vacuum.com/img/technology/img/chap-2/img-2-1-EN.png",
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.85611373,"math_prob":0.9991504,"size":9192,"snap":"2023-40-2023-50","text_gpt3_token_len":2891,"char_repetition_ratio":0.18687418,"word_repetition_ratio":0.03898769,"special_character_ratio":0.3426893,"punctuation_ratio":0.12275295,"nsfw_num_words":0,"has_unicode_error":f... |
https://ar.b-ok.org/book/442898/045978?dsource=recommend | [
"Further Engineering Mathematics provides full coverage of the mathematical topics required by undergraduate students of engineering from second-year level onwards. The text has been completely reset to match exactly the style and format of the author's best selling and highly acclaimed introductory mathematics tex... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.82684714,"math_prob":0.9979466,"size":105249,"snap":"2020-24-2020-29","text_gpt3_token_len":32675,"char_repetition_ratio":0.15730913,"word_repetition_ratio":0.09143114,"special_character_ratio":0.34840235,"punctuation_ratio":0.068767644,"nsfw_num_words":1,"has_unicode_err... |
https://id.scribd.com/document/372218225/Assignment-1 | [
"Anda di halaman 1dari 15\n\n# CM03 - Model homework\n\n## Post-tensioned prestressed concrete bridge - assignment\n\nDesign a post-tensioned prestressed concrete bridge of a three-span arrangement. The\nconstruction is prestressed at the age of 7 days and put into operation at the age of 100 days. The\nIndividuall... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.67035615,"math_prob":0.99639297,"size":7186,"snap":"2020-10-2020-16","text_gpt3_token_len":3555,"char_repetition_ratio":0.12823726,"word_repetition_ratio":0.120317005,"special_character_ratio":0.4464236,"punctuation_ratio":0.17690982,"nsfw_num_words":0,"has_unicode_error"... |
https://ncatlab.org/nlab/show/complicial+set | [
"# nLab complicial set\n\n### Context\n\n#### Higher category theory\n\nhigher category theory\n\n# Idea\n\nComplicial sets are precisely those stratified simplicial sets which arise as the omega nerve of a strict omega-category.\n\n# Definition\n\nA $k$-admissible $n$-simplex in a stratified simplicial set $X$ is ... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.9342062,"math_prob":0.99951935,"size":1607,"snap":"2020-45-2020-50","text_gpt3_token_len":381,"char_repetition_ratio":0.17342483,"word_repetition_ratio":0.02255639,"special_character_ratio":0.21468575,"punctuation_ratio":0.10333333,"nsfw_num_words":0,"has_unicode_error":f... |
https://beyond3d.com/content/articles/60/ | [
"### Introduction\n\nFirst of all, I must admit that when I started this line of articles I was very skeptical. 22-bit color from only 16-bit input? It just doesn't sound very plausible. But while researching information, it became more and more obvious that it isn't so impossible, as I thought at first. In this fo... | [
null,
"https://beyond3d.com/images/articles/3DFX22bit/filter.gif",
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.91151035,"math_prob":0.89745426,"size":3648,"snap":"2023-40-2023-50","text_gpt3_token_len":832,"char_repetition_ratio":0.14242591,"word_repetition_ratio":0.0089552235,"special_character_ratio":0.22779605,"punctuation_ratio":0.0875817,"nsfw_num_words":0,"has_unicode_error"... |
https://cs.stackexchange.com/questions/104031/time-complexity-to-find-median-of-medians | [
"# Time complexity to find Median of Medians\n\nI recently wrote my Grad school Admission test few days back and the following question appeared in the test.\nThere are 'n' unsorted Arrays : A1, A2, ...., An. Assume that 'n' is odd. Each of A1, A2, ..., An contains 'n' distinct elements. There are no common element... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.9125279,"math_prob":0.98252016,"size":1429,"snap":"2020-45-2020-50","text_gpt3_token_len":349,"char_repetition_ratio":0.11438596,"word_repetition_ratio":0.008032128,"special_character_ratio":0.25122464,"punctuation_ratio":0.14006515,"nsfw_num_words":0,"has_unicode_error":... |
http://unknownfieldsdivision.com/the-honey-wduusk/introduction-to-trigonometry-notes-pdf-58ab94 | [
"## introduction to trigonometry notes pdf\n\nCBSE class 10 Mathematics Chapter 8 Introduction to Trigonometry notes in PDF are available for free download in myCBSEguide mobile app. 0000008114 00000 n 0000066732 00000 n 0000008032 00000 n x2 + y2 = 49 Example 1: Introduction to Circle Equations. 8-3 Assignment Stu... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.8105822,"math_prob":0.81912833,"size":15715,"snap":"2021-04-2021-17","text_gpt3_token_len":4170,"char_repetition_ratio":0.18369295,"word_repetition_ratio":0.16040817,"special_character_ratio":0.26878777,"punctuation_ratio":0.11752717,"nsfw_num_words":0,"has_unicode_error"... |
https://ch.mathworks.com/matlabcentral/cody/problems/846-calculate-the-hamming-distance-between-two-strings/solutions/1239358 | [
"Cody\n\n# Problem 846. Calculate the Hamming distance between two strings\n\nSolution 1239358\n\nSubmitted on 26 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\n... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.5166898,"math_prob":0.998579,"size":1268,"snap":"2020-10-2020-16","text_gpt3_token_len":450,"char_repetition_ratio":0.18987341,"word_repetition_ratio":0.13978495,"special_character_ratio":0.41561514,"punctuation_ratio":0.18410042,"nsfw_num_words":0,"has_unicode_error":fal... |
http://ipprofehaphvol.tk/education/cbse-9th-class-maths-solutions-pdf-5795.php | [
"# CBSE 9TH CLASS MATHS SOLUTIONS PDF\n\nContents:\n\nDownload NCERT Solutions For Class 9 Maths in PDF based on latest pattern of CBSE in - Hindi Medium and English Medium both are available to. NCERT Solutions for Class 9 Maths includes solutions to all the questions given in the NCERT textbook for class 9th. The... | [
null,
"https://i.ytimg.com/vi/C20ShKTAEOE/maxresdefault.jpg",
null,
"http://ipprofehaphvol.tk/bydyposyk.png",
null,
"https://www.dronstudy.com/wp-content/uploads/2015/01/1556.jpg",
null,
"https://image.isu.pub/181228061627-24a09828ee191824572ec7146515f38a/jpg/page_1_thumb_large.jpg",
null,
"https:... | {"ft_lang_label":"__label__en","ft_lang_prob":0.9332264,"math_prob":0.80052334,"size":9716,"snap":"2020-10-2020-16","text_gpt3_token_len":1987,"char_repetition_ratio":0.13138385,"word_repetition_ratio":0.03399615,"special_character_ratio":0.19431865,"punctuation_ratio":0.1018412,"nsfw_num_words":0,"has_unicode_error":f... |
https://www.osapublishing.org/oe/fulltext.cfm?uri=oe-13-25-10336&id=86477 | [
"## Abstract\n\nRandom nonuniformities in the photonic crystal lattice are shown to reduce the coupling length and the coupling efficiency of two-core photonic crystal fibers. These coupling properties are extremely sensitive to imperfections when the air holes are large; variations in the lattice of less than 1% a... | [
null,
"https://www.osapublishing.org/images/ajax-loader-big.gif",
null,
"https://www.osapublishing.org/images/ajax-loader-big.gif",
null,
"https://www.osapublishing.org/images/ajax-loader-big.gif",
null,
"https://www.osapublishing.org/images/ajax-loader-big.gif",
null,
"https://www.osapublishing.o... | {"ft_lang_label":"__label__en","ft_lang_prob":0.9149062,"math_prob":0.9711085,"size":27323,"snap":"2021-31-2021-39","text_gpt3_token_len":5965,"char_repetition_ratio":0.16889344,"word_repetition_ratio":0.032279607,"special_character_ratio":0.2109212,"punctuation_ratio":0.11246613,"nsfw_num_words":0,"has_unicode_error":... |
https://pro.arcgis.com/en/pro-app/latest/tool-reference/3d-analyst/how-spline-works.htm | [
"# How Spline works\n\nThe Spline tool uses an interpolation method that estimates values using a mathematical function that minimizes overall surface curvature, resulting in a smooth surface that passes exactly through the input points.\n\n## Conceptual background\n\nConceptually, the sample points extrude to the ... | [
null,
"https://pro.arcgis.com/en/pro-app/latest/tool-reference/3d-analyst/GUID-B955DBFC-3A41-4161-BA8A-74D5A74372E8-web.gif",
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.8703378,"math_prob":0.99303764,"size":7010,"snap":"2021-43-2021-49","text_gpt3_token_len":1448,"char_repetition_ratio":0.15415359,"word_repetition_ratio":0.30017763,"special_character_ratio":0.2002853,"punctuation_ratio":0.12375859,"nsfw_num_words":0,"has_unicode_error":f... |
https://www.codeseasy.com/linear-search/ | [
"# Linear Search\n\nLinear search is very simple and easy to implement and understand. We start from the left most element of the array and one by one compare the value to be searched with each elements of the array.\n\n## Approach for linear search\n\nFor example lets say, the array is [ a, b, x, z, y] and we are ... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.84440744,"math_prob":0.9951973,"size":3945,"snap":"2023-40-2023-50","text_gpt3_token_len":1075,"char_repetition_ratio":0.1634103,"word_repetition_ratio":0.08394161,"special_character_ratio":0.2973384,"punctuation_ratio":0.11059908,"nsfw_num_words":0,"has_unicode_error":fa... |
https://programmer.help/blogs/knn-algorithm-code.html | [
"# KNN algorithm code\n\n1, K-nearest neighbor algorithm\n\nKNN is a supervised learning class algorithm. Its full name (k-nearest neighbor) is translated into k nearest neighbors. It is a clustering algorithm. The algorithm believes that we can judge the category of an object according to the category of K objects... | [
null,
"https://programmer.help/images/blog/6cd2a0ff19bb6cb848ab65253357ed19.jpg",
null,
"https://programmer.help/images/blog/e6de034ef3c3b763bc6ba063a0083915.jpg",
null,
"https://programmer.help/images/blog/ddfde27361afd358e0a2e0ac660688cb.jpg",
null,
"https://programmer.help/images/blog/110204d9893ec... | {"ft_lang_label":"__label__en","ft_lang_prob":0.7855348,"math_prob":0.93710196,"size":7482,"snap":"2021-43-2021-49","text_gpt3_token_len":1771,"char_repetition_ratio":0.11018989,"word_repetition_ratio":0.010319917,"special_character_ratio":0.22320235,"punctuation_ratio":0.15665236,"nsfw_num_words":0,"has_unicode_error"... |
https://math.libretexts.org/Courses/Monroe_Community_College/MTH_220_Discrete_Math/7%3A_Combinatorics/7.6%3A_The_Binomial_Theorem | [
"# 7.6: The Binomial Theorem\n\n$$\\newcommand{\\vecs}{\\overset { \\rightharpoonup} {\\mathbf{#1}} }$$ $$\\newcommand{\\vecd}{\\overset{-\\!-\\!\\rightharpoonup}{\\vphantom{a}\\smash {#1}}}$$$$\\newcommand{\\id}{\\mathrm{id}}$$ $$\\newcommand{\\Span}{\\mathrm{span}}$$ $$\\newcommand{\\kernel}{\\mathrm{null}\\,}$$ ... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.6846011,"math_prob":1.000008,"size":12320,"snap":"2023-40-2023-50","text_gpt3_token_len":4763,"char_repetition_ratio":0.16141604,"word_repetition_ratio":0.047202796,"special_character_ratio":0.4338474,"punctuation_ratio":0.09911978,"nsfw_num_words":0,"has_unicode_error":f... |
https://www.bartleby.com/questions-and-answers/problem-2.-acceleration-velocity-and-distance-spacey-the-space-traveler-is-fleeing-from-the-evil-zor/8d022290-ad5d-4c6a-a932-bb31f9112611 | [
"# Problem 2. Acceleration, Velocity, and DistanceSpacey the space traveler is fleeing from the evil Zorgon star base. Starting at the star base (i.e., O kilometers away from it), but with arunning start (she beams aboard hdesperately presses the accelerator pedal and accelerates away from the star base in such a m... | [
null,
"https://prod-qna-question-images.s3.amazonaws.com/question/9b7c4a9d-f011-4d72-9bb4-303ef5c35087/8d022290-ad5d-4c6a-a932-bb31f9112611/9zo7uq.jpeg",
null,
"https://www.bartleby.com/static/logo.svg",
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.90039057,"math_prob":0.9742831,"size":1921,"snap":"2019-51-2020-05","text_gpt3_token_len":509,"char_repetition_ratio":0.12154408,"word_repetition_ratio":0.020467836,"special_character_ratio":0.2712129,"punctuation_ratio":0.18584071,"nsfw_num_words":0,"has_unicode_error":f... |
https://math.stackexchange.com/questions/1319105/are-countable-strict-inductive-limits-of-fr%C3%A9chet-spaces-always-lf-spaces | [
"# Are countable strict inductive limits of Fréchet spaces always LF-spaces?\n\nI would like to work with a slightly loser definition of an LF-space but am unsure what niceties I'm throwing away in the process. Let me provide a comparison of the conventional definition and my own slightly broader one.\n\nGeneralize... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.8949109,"math_prob":0.998642,"size":2318,"snap":"2019-51-2020-05","text_gpt3_token_len":676,"char_repetition_ratio":0.11452031,"word_repetition_ratio":0.009852217,"special_character_ratio":0.2847282,"punctuation_ratio":0.0824295,"nsfw_num_words":0,"has_unicode_error":fals... |
https://www.colorhexa.com/0f0848 | [
"# #0f0848 Color Information\n\nIn a RGB color space, hex #0f0848 is composed of 5.9% red, 3.1% green and 28.2% blue. Whereas in a CMYK color space, it is composed of 79.2% cyan, 88.9% magenta, 0% yellow and 71.8% black. It has a hue angle of 246.6 degrees, a saturation of 80% and a lightness of 15.7%. #0f0848 colo... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.53072524,"math_prob":0.6859456,"size":3635,"snap":"2020-34-2020-40","text_gpt3_token_len":1655,"char_repetition_ratio":0.12613605,"word_repetition_ratio":0.011090573,"special_character_ratio":0.56808805,"punctuation_ratio":0.23549107,"nsfw_num_words":0,"has_unicode_error"... |
https://www.slideserve.com/tekli/introduction-to-artificial-intelligence-applications-in-computational-biology | [
"",
null,
"Download Presentation",
null,
"Introduction to Artificial Intelligence: Applications in Computational Biology\n\n# Introduction to Artificial Intelligence: Applications in Computational Biology - PowerPoint PPT Presentation",
null,
"Download Presentation",
null,
"## Introduction to Artifi... | [
null,
"https://www.slideserve.com/img/replay.png",
null,
"https://thumbs.slideserve.com/1_5316186.jpg",
null,
"https://www.slideserve.com/photo/32421.jpeg",
null,
"https://www.slideserve.com/img/output_cBjjdt.gif",
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.8192748,"math_prob":0.85071033,"size":11888,"snap":"2019-51-2020-05","text_gpt3_token_len":2928,"char_repetition_ratio":0.10080781,"word_repetition_ratio":0.05357143,"special_character_ratio":0.25109354,"punctuation_ratio":0.048814505,"nsfw_num_words":0,"has_unicode_error... |
https://glassboxmedicine.com/2021/02/06/designing-custom-2d-and-3d-cnns-in-pytorch-tutorial-with-code/ | [
"This tutorial is based on my repository pytorch-computer-vision which contains PyTorch code for training and evaluating custom neural networks on custom data. By the end of this tutorial, you should be able to:\n\n• Design custom 2D and 3D convolutional neural networks in PyTorch;\n• Understand image dimensions, f... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.8678742,"math_prob":0.88943386,"size":28174,"snap":"2021-43-2021-49","text_gpt3_token_len":6455,"char_repetition_ratio":0.13397232,"word_repetition_ratio":0.03527375,"special_character_ratio":0.2271598,"punctuation_ratio":0.12040558,"nsfw_num_words":0,"has_unicode_error":... |
https://michaelwoodguitar.co.uk/guitar-chords/chord-in-mathematics.html | [
"# chord in mathematics\n\n## What is a chord in math?\n\nIn plane geometry , a chord is the line segment joining two points on a curve. The term is often used to describe a line segment whose ends lie on a circle.\n\n## How do you find a chord in math?\n\nA line segment connecting two points on a curve. Example: t... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.9249229,"math_prob":0.94690245,"size":3522,"snap":"2021-43-2021-49","text_gpt3_token_len":819,"char_repetition_ratio":0.17055145,"word_repetition_ratio":0.026470589,"special_character_ratio":0.2314026,"punctuation_ratio":0.1120108,"nsfw_num_words":0,"has_unicode_error":fa... |
http://mala-mas.fun/convert/number/binary-to-decimalk61eco3469i4w8.html | [
"Home\n\n# Binary numbers list\n\nBinary Numbers List 1 - 100. Roll. settingsOptions get_appDownload content_copyCopy add_to_home_screenTo phone/pc. Settings. close List all binary numbers from to increment by . Advertisement. Advertisement. Combinatorics. Odd / Even × Custom. This is a list of some binary codes th... | [
null,
"http://mala-mas.fun/hpgrn/LpuPe81bc2w.jpeg",
null,
"http://mala-mas.fun/hpgrn/srft-bkn7Y58g5W8uOoKiwHaH7.jpg",
null,
"http://mala-mas.fun/hpgrn/lMUgCIoYjBSvTZo2JioMNAHaGM.jpg",
null,
"http://mala-mas.fun/hpgrn/Iynht8gVf3jBiXn39S44jAHaDW.jpg",
null,
"http://mala-mas.fun/hpgrn/eLElQU8x-3EebHP... | {"ft_lang_label":"__label__en","ft_lang_prob":0.89431965,"math_prob":0.96736175,"size":20053,"snap":"2021-31-2021-39","text_gpt3_token_len":4579,"char_repetition_ratio":0.18953563,"word_repetition_ratio":0.04564548,"special_character_ratio":0.233581,"punctuation_ratio":0.09468648,"nsfw_num_words":0,"has_unicode_error":... |
https://kr.mathworks.com/help/simbio/ug/parameter-scanning-parameter-estimation-and-sensitivity-analysis-in-the-yeast-heterotrimeric-g-protein-cycle.html | [
"# Parameter Scanning, Parameter Estimation, and Sensitivity Analysis in the Yeast Heterotrimeric G Protein Cycle\n\nThis example shows how to build, simulate and analyze a model in SimBiology® using a pathway taken from the literature.\n\n### Reference\n\nA quantitative characterization of the yeast heterotrimeric... | [
null,
"https://kr.mathworks.com/help/examples/simbio/win64/xxgprotein_graphic.png",
null,
"https://kr.mathworks.com/help/examples/simbio/win64/gprotein_01.png",
null,
"https://kr.mathworks.com/help/examples/simbio/win64/gprotein_02.png",
null,
"https://kr.mathworks.com/help/examples/simbio/win64/gprot... | {"ft_lang_label":"__label__en","ft_lang_prob":0.62072295,"math_prob":0.9625917,"size":22058,"snap":"2023-40-2023-50","text_gpt3_token_len":5640,"char_repetition_ratio":0.15534598,"word_repetition_ratio":0.02923588,"special_character_ratio":0.24140902,"punctuation_ratio":0.17781828,"nsfw_num_words":0,"has_unicode_error"... |
https://www.colorhexa.com/498b7f | [
"# #498b7f Color Information\n\nIn a RGB color space, hex #498b7f is composed of 28.6% red, 54.5% green and 49.8% blue. Whereas in a CMYK color space, it is composed of 47.5% cyan, 0% magenta, 8.6% yellow and 45.5% black. It has a hue angle of 169.1 degrees, a saturation of 31.1% and a lightness of 41.6%. #498b7f c... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.580856,"math_prob":0.5532228,"size":3719,"snap":"2021-31-2021-39","text_gpt3_token_len":1669,"char_repetition_ratio":0.11978465,"word_repetition_ratio":0.011090573,"special_character_ratio":0.55821455,"punctuation_ratio":0.23783186,"nsfw_num_words":0,"has_unicode_error":f... |
https://www.xlsoffice.com/others/how-to-get-excel-workbook-path-only/ | [
"How to get Excel workbook path only\n\nIf you want to get the workbook path (directory) only, you can do so with a formula that uses the LEFT and the FIND function. The result will look something like this:\n\nDrive:\\path\\to\\file\\ //Windows\nDrive:path:to:file: //Mac\n\nFormula\n\n=LEFT(CELL(\"filename\",... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.82869804,"math_prob":0.49919116,"size":768,"snap":"2019-43-2019-47","text_gpt3_token_len":196,"char_repetition_ratio":0.11780105,"word_repetition_ratio":0.0,"special_character_ratio":0.24479167,"punctuation_ratio":0.1329114,"nsfw_num_words":0,"has_unicode_error":false,"ma... |
https://janhigh.savingadvice.com/2007/10/09/around-and-around_30973/ | [
"User Real IP - 3.229.142.175\n```Array\n(\n => Array\n(\n => 182.68.68.92\n)\n\n => Array\n(\n => 101.0.41.201\n)\n\n => Array\n(\n => 43.225.98.123\n)\n\n => Array\n(\n => 2.58.194.139\n)\n\n => Array\n(\n => 46.119.197.104\n)\n\n => Array\n(\n => 45.249.8.93\n)\n\n => Array\n(\n => 103.12.135.72\n)\n\n => Array\... | [
null,
"https://www.savingadvice.com/blogs/images/search/top_left.php",
null,
"https://www.savingadvice.com/blogs/images/search/top_right.php",
null,
"https://www.savingadvice.com/blogs/images/search/bottom_left.php",
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.98986435,"math_prob":0.993586,"size":2430,"snap":"2019-51-2020-05","text_gpt3_token_len":548,"char_repetition_ratio":0.122423746,"word_repetition_ratio":0.22698073,"special_character_ratio":0.2255144,"punctuation_ratio":0.11775701,"nsfw_num_words":0,"has_unicode_error":fa... |
https://eccc.weizmann.ac.il/report/2004/019/ | [
"",
null,
"",
null,
"Under the auspices of the Computational Complexity Foundation (CCF)",
null,
"",
null,
"",
null,
"",
null,
"",
null,
"REPORTS > DETAIL:\n\n### Paper:\n\nTR04-019 | 15th January 2004 00:00\n\n#### Properties of NP-Complete Sets",
null,
"TR04-019\nAuthors: Christian... | [
null,
"https://eccc.weizmann.ac.il/resources/gf/logoNew.png",
null,
"https://eccc.weizmann.ac.il/resources/gf/subtitle.png",
null,
"https://eccc.weizmann.ac.il/resources/txt2img/6477d27f5652481c8709ce20804beef47000ddfacb628eb8f3e1424aa319da92d9706a1b9969c3beea6d0d0579f8c3574dfe71145b9a63e0f4cc7e59723f9d59... | {"ft_lang_label":"__label__en","ft_lang_prob":0.8534502,"math_prob":0.9583012,"size":1799,"snap":"2023-40-2023-50","text_gpt3_token_len":444,"char_repetition_ratio":0.13036212,"word_repetition_ratio":0.072463766,"special_character_ratio":0.23513062,"punctuation_ratio":0.07761194,"nsfw_num_words":0,"has_unicode_error":f... |
https://www.freethesaurus.com/biquadratic | [
"Also found in: Dictionary, Encyclopedia.\nGraphic Thesaurus 🔍\n Display ON Animation ON\n Legend Synonym Antonym Related\n• noun\n\n### a polynomial of the fourth degree\n\n#### Related Words\n\nReferences in periodicals archive ?\nYabuki, \"Electronically tunable current-mode universal biquadratic filter using ... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.85443217,"math_prob":0.96520454,"size":2159,"snap":"2019-51-2020-05","text_gpt3_token_len":493,"char_repetition_ratio":0.1475638,"word_repetition_ratio":0.0,"special_character_ratio":0.19592404,"punctuation_ratio":0.13231552,"nsfw_num_words":0,"has_unicode_error":false,"m... |
https://paperswithcode.com/search?q=author%3AAnand+D.+Sarwate | [
"# A Minimax Lower Bound for Low-Rank Matrix-Variate Logistic Regression\n\nThe focus of this paper is on derivation of a minimax risk lower bound for low-rank coefficient matrices.\n\n# Influencers and the Giant Component: the Fundamental Hardness in Privacy Protection for Socially Contagious Attributes\n\nno code... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.78525424,"math_prob":0.7989084,"size":4769,"snap":"2021-43-2021-49","text_gpt3_token_len":1146,"char_repetition_ratio":0.1706191,"word_repetition_ratio":0.08038147,"special_character_ratio":0.20989725,"punctuation_ratio":0.125,"nsfw_num_words":0,"has_unicode_error":false,... |
https://relativityoflight.com/chapter-13 | [
"Chapter 13\nLANGE’S ABSRACT RELATIVITY & INERTIAL REFERENCE FRAMES\n\nDuring the period between 1885 and 1904, Ludwig Lange and others abandoned Newton’s concept of “absolute space.” They also abstractly and mathematically described and modified Galileo’s sensory and empirical concept of relativity. The result wa... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.9456809,"math_prob":0.9149449,"size":23606,"snap":"2020-45-2020-50","text_gpt3_token_len":4972,"char_repetition_ratio":0.15761375,"word_repetition_ratio":0.02759382,"special_character_ratio":0.20621876,"punctuation_ratio":0.1033821,"nsfw_num_words":0,"has_unicode_error":f... |
http://xrpp.iucr.org/Da/ch1o1v0001/sec1o1o3o6o3/ | [
"International\nTables for\nCrystallography\nVolume D\nPhysical properties of crystals\nEdited by A. Authier\n\nInternational Tables for Crystallography (2006). Vol. D, ch. 1.1, p. 9\n\n## Section 1.1.3.6.3. Examples of the use in physics of different representations of the same quantity\n\nA. Authiera*\n\naInstitu... | [
null,
"http://xrpp.iucr.org/teximages/dach1o1/dach1o1fd94.gif",
null,
"http://xrpp.iucr.org/teximages/dach1o1/dach1o1fi182.gif",
null,
"http://xrpp.iucr.org/teximages/dach1o1/dach1o1fd95.gif",
null,
"http://xrpp.iucr.org/graphics/greenarr.gif",
null,
"http://xrpp.iucr.org/teximages/dach1o1/dach1o1... | {"ft_lang_label":"__label__en","ft_lang_prob":0.5022446,"math_prob":0.89057314,"size":551,"snap":"2019-13-2019-22","text_gpt3_token_len":163,"char_repetition_ratio":0.122486286,"word_repetition_ratio":0.0,"special_character_ratio":0.25952813,"punctuation_ratio":0.20353982,"nsfw_num_words":0,"has_unicode_error":false,"m... |
http://extraconversion.com/power/kilowatts/kilowatts-to-joules-per-second.html | [
"# Kilowatts to Joules per second Conversion Calculator",
null,
"## Sample Power Conversion\n\n 10 watt to joules per second, the result is 10 joules per second 10 megawatt to joules per second, the result is 10000000 joules per second 10 microwatt to watts, the result is 1.0E-5 watts 10 megawatt to watts, the ... | [
null,
"http://extraconversion.com/assets/img/power.png",
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.67861605,"math_prob":0.989359,"size":11322,"snap":"2019-51-2020-05","text_gpt3_token_len":3672,"char_repetition_ratio":0.31251106,"word_repetition_ratio":0.28482974,"special_character_ratio":0.33554143,"punctuation_ratio":0.06554307,"nsfw_num_words":0,"has_unicode_error":... |
https://cirq.readthedocs.io/en/stable/generated/cirq.is_diagonal.html | [
"# cirq.is_diagonal¶\n\ncirq.is_diagonal(matrix: numpy.ndarray, *, atol: float = 1e-08) → bool[source]\n\nDetermines if a matrix is a approximately diagonal.\n\nA matrix is diagonal if i!=j implies m[i,j]==0.\n\nParameters\n• matrix – The matrix to check.\n\n• atol – The per-matrix-entry absolute tolerance on equal... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.6549248,"math_prob":0.9960623,"size":373,"snap":"2020-34-2020-40","text_gpt3_token_len":98,"char_repetition_ratio":0.17615177,"word_repetition_ratio":0.0,"special_character_ratio":0.2546917,"punctuation_ratio":0.19444445,"nsfw_num_words":0,"has_unicode_error":false,"math_... |
https://www.techleer.com/articles/534-neural-processes/ | [
"## Neural Processes.\n\nJuly 13, 2018, 9:17 a.m.",
null,
"A Neural Network (NN) is a parameterized function that through a gradient descent can be tuned to approximate with high precision a labelled collection of data. A Gaussian process (GP), on the other hand, is a probabilistic model that is data-efficient,... | [
null,
"https://s3.ap-south-1.amazonaws.com/techleerimages/dd4d9ba3-9edf-4b09-bb41-af1862d38088.PNG",
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.9323424,"math_prob":0.8658618,"size":4501,"snap":"2019-51-2020-05","text_gpt3_token_len":830,"char_repetition_ratio":0.12853013,"word_repetition_ratio":0.011730205,"special_character_ratio":0.17640524,"punctuation_ratio":0.101583116,"nsfw_num_words":0,"has_unicode_error":... |
https://puzzling.stackexchange.com/questions/28038/bigger-board-with-the-least-squares | [
"# Bigger board with the least squares\n\nWhat is the minimum number of squares to be used to draw a 8x8 board which is divided into 64 unit squares.\n\n• The squares you are going to use can be of any size you want (see example below).\n• There will be no extra lines or draws outside the table when you are done!\n... | [
null,
"https://i.stack.imgur.com/nZOm7.jpg",
null,
"https://i.stack.imgur.com/dCHP9.png",
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.9195611,"math_prob":0.980787,"size":698,"snap":"2019-51-2020-05","text_gpt3_token_len":166,"char_repetition_ratio":0.18731989,"word_repetition_ratio":0.0,"special_character_ratio":0.23782235,"punctuation_ratio":0.11188811,"nsfw_num_words":0,"has_unicode_error":false,"math... |
http://help.sccode.org/UGens/Synth%20control/Envelopes/Decay2.html | [
"Decay2 exponential decay\n\nInherits from: Object\n\nDecay2.ar(in, attackTime, decayTime, mul, add)\n\nDecay2.kr(in, attackTime, decayTime, mul, add)\n\nDecay has a very sharp attack and can produce clicks. Decay2 rounds off the attack by subtracting one Decay from another. Decay2.ar(in, attackTime, decayTime) is ... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.521412,"math_prob":0.99155086,"size":957,"snap":"2021-21-2021-25","text_gpt3_token_len":308,"char_repetition_ratio":0.16369359,"word_repetition_ratio":0.0,"special_character_ratio":0.3322884,"punctuation_ratio":0.29787233,"nsfw_num_words":0,"has_unicode_error":false,"math... |
https://crypto.stackexchange.com/questions/13194/authentication-and-deniability | [
"# Authentication and deniability\n\nI have the following problem: Alice wants to send Bob a message such that Bob knows it is from Alice but at the same time he cannot prove that Alice send him this message.\n\nThe solution I came up with, using RSA, is:\n\n1. Alice picks a random key K, and encrypts the message M... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.8911456,"math_prob":0.54396594,"size":733,"snap":"2020-34-2020-40","text_gpt3_token_len":203,"char_repetition_ratio":0.14403293,"word_repetition_ratio":0.0,"special_character_ratio":0.28376535,"punctuation_ratio":0.12650603,"nsfw_num_words":0,"has_unicode_error":false,"ma... |
https://www.esaral.com/q/prove-that-56727 | [
"",
null,
"# Prove that",
null,
"Question:\n\nProve that $\\sqrt{3}$ is an irrational number.\n\nSolution:\n\nLet $\\sqrt{3}$ be rational and its simplest form be $\\frac{a}{b}$.\n\nThen, $a, b$ are integers with no common factors other than 1 and $b \\neq 0$.\n\nNow $\\sqrt{3}=\\frac{a}{b} \\Rightarrow 3=\... | [
null,
"https://www.facebook.com/tr",
null,
"https://www.esaral.com/static/assets/images/Padho-Bharat-Web.jpeg",
null,
"https://www.esaral.com/static/assets/images/close.svg",
null,
"https://www.esaral.com/q/prove-that-56727",
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.66648376,"math_prob":1.0000094,"size":1109,"snap":"2023-40-2023-50","text_gpt3_token_len":386,"char_repetition_ratio":0.17828055,"word_repetition_ratio":0.043956045,"special_character_ratio":0.37781784,"punctuation_ratio":0.09787234,"nsfw_num_words":0,"has_unicode_error":... |
https://www.thecodeteacher.com/question/10246/java---What-is-x-after-%22x-=-x++%22? | [
"# java - What is x after \"x = x++\"?\n\nID : 10246\n\nviewed : 15\n\n### Top 5 Answer for java - What is x after \"x = x++\"?",
null,
"",
null,
"91\n\n``x = x++; ``\n\nis equivalent to\n\n``int tmp = x; x++; x = tmp; ``",
null,
"",
null,
"84\n\n`x` does get incremented. But you are assigning the o... | [
null,
"https://thecodeteacher.com/img/brainblack.png",
null,
"https://thecodeteacher.com/img/brain.png",
null,
"https://thecodeteacher.com/img/brainblack.png",
null,
"https://thecodeteacher.com/img/brain.png",
null,
"https://thecodeteacher.com/img/brainblack.png",
null,
"https://thecodeteacher... | {"ft_lang_label":"__label__en","ft_lang_prob":0.8902946,"math_prob":0.99425066,"size":3115,"snap":"2022-05-2022-21","text_gpt3_token_len":778,"char_repetition_ratio":0.13050467,"word_repetition_ratio":0.09337861,"special_character_ratio":0.27479935,"punctuation_ratio":0.14174455,"nsfw_num_words":0,"has_unicode_error":f... |
https://corpuslinguisticmethods.wordpress.com/2014/02/10/making-a-barplot-in-r/ | [
"# Making a barplot in R\n\nIn previous posts, you have already learned how to make a frequency table or a contingency table for categorical variables. Although a table can be very insightful, things usually only get tangible when they are visualized. In this post, we learn how to turn a frequency/contingency table... | [
null,
"https://corpuslinguisticmethods.files.wordpress.com/2014/02/hand-sketch-pc41.png",
null,
"https://corpuslinguisticmethods.files.wordpress.com/2014/02/first-barplot.png",
null,
"https://corpuslinguisticmethods.files.wordpress.com/2014/02/second-barplot.png",
null,
"https://corpuslinguisticmethod... | {"ft_lang_label":"__label__en","ft_lang_prob":0.86303777,"math_prob":0.92247707,"size":5297,"snap":"2022-40-2023-06","text_gpt3_token_len":1381,"char_repetition_ratio":0.14056301,"word_repetition_ratio":0.03529412,"special_character_ratio":0.26656598,"punctuation_ratio":0.16089965,"nsfw_num_words":0,"has_unicode_error"... |
http://mathshistory.st-andrews.ac.uk/BMC/1997.html | [
"## Forty nineth British Mathematical Colloquium\n\nThis was held at Royal Holloway: 14 - 17 April 1997\n\nThe enrolment was 190. The chairman was J W Essam and the secretary was G de Barra.\n\n### The plenary speakers were:\n\n Fulton, W An algebraic geometer looks at cohomology Lions, P On compressible Euler a... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.7973199,"math_prob":0.6890892,"size":2129,"snap":"2019-51-2020-05","text_gpt3_token_len":542,"char_repetition_ratio":0.09647059,"word_repetition_ratio":0.118421055,"special_character_ratio":0.20244247,"punctuation_ratio":0.10985915,"nsfw_num_words":0,"has_unicode_error":f... |
https://www.physicsforums.com/threads/tension-on-a-string-during-shm.545357/ | [
"# Tension on a string during SHM\n\n## Homework Statement\n\na 0.12kg mass is suspended on a magic string with no mass, and length of 0.80m. There is no air resistance, and the pendulum is swinging such that it makes a maximum angle of 45 degrees with the vertical.\n\nA.) What's the speed as it passes the vertical... | [
null,
"https://www.physicsforums.com/attachments/3531mwp-jpg.147045/",
null,
"https://www.physicsforums.com/attachments/mikhlg-jpg.147047/",
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.80152273,"math_prob":0.96789503,"size":1047,"snap":"2022-05-2022-21","text_gpt3_token_len":363,"char_repetition_ratio":0.13518696,"word_repetition_ratio":0.036809817,"special_character_ratio":0.3667622,"punctuation_ratio":0.12396694,"nsfw_num_words":0,"has_unicode_error":... |
https://www.gohd.com.sg/shop/principia-isaac-newton/ | [
"S\\$225.00\n\n# Principia – Isaac Newton\n\nS\\$225.00\n\nTitle: Principia\nAuthor: Isaac Newton\nPublisher: The Easton Press, 2000\nCondition: Full leather, brand new in shrink wrap.\n\nSKU: easton_newton Tag:\n\nPhilosophiæ Naturalis Principia Mathematica, Latin for “Mathematical Principles of Natural Science”, ... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.957004,"math_prob":0.53051907,"size":2732,"snap":"2022-40-2023-06","text_gpt3_token_len":565,"char_repetition_ratio":0.11290322,"word_repetition_ratio":0.0,"special_character_ratio":0.19765739,"punctuation_ratio":0.09109731,"nsfw_num_words":0,"has_unicode_error":false,"ma... |
https://gitlab.lrde.epita.fr/spot/spot/-/commit/2648ea170f870dd03244cebecfce37621b76cc1a | [
"### rename tgba_graph_state and tgba_graph_trans_data as twa_...\n\n```Automatic mass renaming.\n\n* src/tgba/tgbagraph.hh, src/tgbaalgos/powerset.cc: Rename\ntgba_graph_state and tgba_graph_trans_data as twa_graph_state and\ntwa_graph_trans_data.```\nparent 8520c4c3\n ... ... @@ -30,21 +30,21 @@ namespace spot { ... | [
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.7328709,"math_prob":0.9567284,"size":294,"snap":"2021-21-2021-25","text_gpt3_token_len":80,"char_repetition_ratio":0.19310345,"word_repetition_ratio":0.0,"special_character_ratio":0.22108844,"punctuation_ratio":0.20454545,"nsfw_num_words":0,"has_unicode_error":false,"math... |
https://www.incrediblecharts.com/indicators/moving_averages_filters.php | [
"",
null,
"• Products\n• Pricing\n• Education\n• Indicators\n• MyProfile\n• Support\n\nMoving Averages & MACD Oscillators > Moving Average Types > Moving Average Filters\nIndicator Guide > Moving Average Types > Moving Average Filters\nIndicators A ~ Z > Indicators M ~ N > Moving Average Filters\nContents > Ind... | [
null,
"https://static.incrediblecharts.com/images/logo/ic-54_243x68.png",
null,
"https://static.incrediblecharts.com/images/png_colors/fuchsia.png",
null,
"https://static.incrediblecharts.com/images/png_images/intc%20moving%20average%20direction%202%20close%20filter.png",
null,
"https://static.incredi... | {"ft_lang_label":"__label__en","ft_lang_prob":0.9089204,"math_prob":0.8219312,"size":2818,"snap":"2022-27-2022-33","text_gpt3_token_len":564,"char_repetition_ratio":0.24804549,"word_repetition_ratio":0.14669421,"special_character_ratio":0.20014195,"punctuation_ratio":0.07569721,"nsfw_num_words":0,"has_unicode_error":fa... |
https://artisttreecurios.com/worksheet/circles/dz5-circles-worksheet-coordinate.ytp | [
"This quiz is incomplete! Learn how you do we welcome any three teachers are not both in starting your opinion count! Me.\n\nNo tutorials available. The Unit Circle is one of the most important topics in all of Trigonometry and Calculus. Worksheets.\n\n• # Circles On The Coordinate Plane Worksheet\n\n• Determine th... | [
null,
"https://artisttreecurios.com/7e3223f.jpg",
null,
"https://artisttreecurios.com/973de50.png",
null,
"https://artisttreecurios.com/19fa0c.png",
null
] | {"ft_lang_label":"__label__en","ft_lang_prob":0.91170824,"math_prob":0.801419,"size":2833,"snap":"2022-40-2023-06","text_gpt3_token_len":546,"char_repetition_ratio":0.15270413,"word_repetition_ratio":0.0,"special_character_ratio":0.18743381,"punctuation_ratio":0.10338346,"nsfw_num_words":0,"has_unicode_error":false,"ma... |
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