url
stringlengths
14
2.42k
text
stringlengths
100
1.02M
date
stringlengths
19
19
metadata
stringlengths
1.06k
1.1k
https://urbotip.com/%F0%9F%94%8E-legendre-polynomial-definition-and-explanations/
# 🔎 Legendre Polynomial – Definition and Explanations 🔎 Legendre Polynomial – Definition and Explanations ## Introduction Legendre polynomials The Legendre polynomials are options of Legendre’s differential equation, and represent the best instance of a sequence of orthogonal polynomials (In arithmetic, a sequenc...
2023-03-29 03:52:51
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 32, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma...
https://mathoverflow.net/questions/247763/does-anyone-understand-this-comment-about-the-continuum-hypothesis?noredirect=1
# Does anyone understand this comment about the continuum hypothesis? At 31:37 in his lecture titled What is a manifold? posted on Youtube, Mikhail Gromov states that if we do not allow generic functions to exist then the continuum hypothesis is "obviously" true, and that if we do allow generic functions to exist, the...
2020-10-23 06:30:03
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://chem.libretexts.org/Bookshelves/Organic_Chemistry/Book%3A_Basic_Principles_of_Organic_Chemistry_(Roberts_and_Caserio)/16%3A_Carbonyl_Compounds_I-_Aldehydes_and_Ketones._Addition_Reactions_of_the_Carbonyl_Group/16.04%3A_Spectroscopic_Properties
# 16.4: Spectroscopic Properties ## Infrared Spectra A carbonyl group in a compound can be positively identified by the strong infrared absorption band in the region $$1650$$-$$1850 \: \text{cm}^{-1}$$, which corresponds to the stretching vibration of the carbon-oxygen double bond. The position of the band within thi...
2022-01-17 04:15:44
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
http://www.johnorr.us/math/pauli_matrices.html
# John Lindsay Orr # The Pauli Marices and the Bloch Sphere These notes are an exposition of the basic facts about the Pauli matrices and the Bloch Sphere. The goal is to give a completely mathematically rigourous exposition of the core facts about the action of the Pauli matrices as rotations on the Bloch Sphere, a...
2020-07-05 06:45:45
{"extraction_info": {"found_math": true, "script_math_tex": 196, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/m...
https://www.encyclopediaofmath.org/index.php?title=Moduli_theory&oldid=21899
# Moduli theory Jump to: navigation, search A theory studying continuous families of objects in algebraic geometry. Let be a class of objects in algebraic geometry (varieties, schemes, vector bundles, etc.) on which an equivalence relation has been given. The fundamental classification problem (the description of th...
2020-01-26 21:55:25
{"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma...
https://www.biostars.org/p/46279/#46473
Species-Specific Output From Blast -Db Nt -Remote ... 2 1 Entering edit mode 10.8 years ago kevin.l.neff ▴ 340 I'm using the C++ version of blastn, with -db nt and -remote. I need to limit my search to a specific organism. I've had success using -gilist <file> to do this on searches with a local database, but that opt...
2023-03-20 21:22:34
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://aitopics.org/doc/arxivorg:BBE9BF0D/
# Non-monotone DR-submodular Maximization: Approximation and Regret Guarantees , , , arXiv.org Machine Learning Diminishing-returns (DR) submodular optimization is an important field with many real-world applications in machine learning, economics and communication systems. It captures a subclass of non-convex optim...
2020-06-06 16:10:29
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://blog.csdn.net/kirito_acmer/article/details/51418326
# Balls Rearrangement Time Limit: 6000/3000 MS (Java/Others)    Memory Limit: 32768/32768 K (Java/Others) Total Submission(s): 945    Accepted Submission(s): 380 Problem Description Bob has N balls and A boxes. He numbers the balls from 0 to N-1, and numbers the boxes from 0 to A-1. To find the balls easily, he puts ...
2020-09-19 07:30:57
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
http://www.ghqx.org.cn/CN/Y2019/V37/I3/377
• CN 62-1175/P • ISSN 1006-7639 • 双月刊 • 中国科技核心期刊 • 中国学术期刊综合评价数据库统计源期刊 • 中文科技期刊数据库收录期刊 • 论文 • ### 青海高原致灾性对流天气时空分布特征 1. 1.青海省气象台,青海西宁810001;2.南京信息工程大学大气物理学院,江苏南京210044; 3.中国气象局干部培训学院,北京100081;4.青海省气象科学研究所,青海西宁810001 • 出版日期:2019-06-28 发布日期:2019-07-01 • 作者简介:朱平(1980— ),女,高级工程师,主要从事灾害性天气预报预警和大气遥感研究. E-mail:ping_xjs2010@1...
2023-01-29 22:23:40
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
http://www.impan.pl/cgi-bin/dict?stress
## stress #### 1 [see also: emphasis] In his lectures, he laid great stress on the use of ...... #### 2 [see also: emphasize, underline] Let us stress that $c$ is a term and not a subset of $C$. We should stress that this is only one of several versions of the `measurable selector theorem', due variously to von ...
2015-08-28 09:28:43
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://www.zbmath.org/?q=an%3A0703.22010
# zbMATH — the first resource for mathematics p-adic string compactified on a torus. (English) Zbl 0703.22010 This is one of many recent papers devoted to study the non-archimedean string theory. The $$[U(1)]^ D$$ model with the Villain form of action on a g-loop generalization of the Bruhat-Tits tree for the p-adic l...
2021-09-20 19:51:41
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://quantumcomputing.stackexchange.com/questions/10157/obtaining-low-weight-stabilizer-generators
# Obtaining low weight stabilizer generators Suppose I know a set of stabilizer generators of a qubit quantum code. Is there a systematic (and possibly efficient) way to transform this set of generators to a different set (generating the same code) with lowest possible weights? I suspect that there is no efficient way...
2022-08-17 19:21:23
{"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma...
https://motls.blogspot.com/2018/11/sachdev-ancient-indian-airplanes-are.html?m=1
Monday, November 26, 2018 Sachdev: ancient Indian airplanes are harmful While the West is bombarded by hostile comments directed against theoretical physics, it is somewhat refreshing to look at related – but unequivalent – stories that folks have to deal with in very different cultural conditions. An ancient Incas'...
2020-08-09 05:22:36
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://openforecast.org/adam/rollingOrigin.html
## 2.4 Rolling origin Remark. The text in this section is based on the vignette for the greybox package, written by the author of this monograph. When there is a need to select the most appropriate forecasting model or method for the data, the forecaster usually splits the sample into two parts: in-sample (aka “train...
2022-05-22 10:18:48
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://www.tutorialspoint.com/power-flow-diagram-and-losses-of-induction-motor
# Power Flow Diagram and Losses of Induction Motor Digital ElectronicsElectronElectronics & Electrical The 3-phase input power fed to the stator of a 3-phase induction motor is given by, $$\mathrm{𝑃_{𝑖𝑠} = \sqrt{3} 𝑉_𝐿𝐼_𝐿 cos \varphi_i = 3 𝑉_{𝑠𝑝ℎ} 𝐼_{𝑠𝑝ℎ} cos \varphi_i}$$ Where, • VL = Line voltage • ...
2022-07-02 22:40:01
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://stats.stackexchange.com/questions/292379/interpreting-meta-regression-outputs-from-metafor-package
# Interpreting meta-regression outputs from metafor package I have been using the metafor package for some meta-analyses and would like to adjust for a single continuous covariate (mean age) using meta-regression. However, I require some clarification regarding the outputs and what they mean. Below I have shared the o...
2020-08-14 17:48:36
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
http://openstudy.com/updates/507c5295e4b040c161a2463f
## kjhgfd 2 years ago The perimeter of a rectangle is 50 cm and the length is 4 cm longer than the width. Write and solve the system of equations using the substitution method. A. width = 10 cm, length= 14 cm B. width = 10 1/2 cm, length= 14 1/2 cm C. width = 11 cm, length= 15 cm D. width = 23 cm, length= 27 cm 1. tjo...
2015-05-24 07:23:59
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://pandasthumb.org/archives/2007/02/darwin-day-acti.html
Darwin Day Activities in Kansas Darwin’s Day Activities, February 12 at the University of Kansas Theme: We have come a long way since Darwin. See here for much prettier information at the KU website! $100.00 cash prize for winner of each category.$50.00 cash prize for second The cost of the movie and event is $2.00. ...
2018-01-19 21:34:27
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://www.homeofpoi.com/us/community/forums/topics/128532/Re-Plural-Zee-Alpha
• All Purchases made this month instantly go into the draw to win a USD \$ 100.00 credit to your HoP account. ### Forums > Advanced Poi Moves > Plural Zee Alpha... Page: TheWibbler GOLD Member since Apr 2003 old hand Location: New Zealand Total posts: 920 Posted:The other day I was spinning '3bt butterfly weave' AK...
2017-03-28 13:28:22
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://gauravtiwari.org/tag/column-vector/
## Just another way to Multiply Multiplication is probably the most important elementary operation in mathematics; even more important than usual addition. Every math-guy has its own style of multiplying numbers. But have you ever tried multiplicating by this way? Exercise: $88 \times 45$ =? Ans: as usual :- 3960 but ...
2018-02-24 13:54:29
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://www.gradesaver.com/textbooks/math/other-math/CLONE-547b8018-14a8-4d02-afd6-6bc35a0864ed/chapter-9-basic-algebra-test-page-701/12
## Basic College Mathematics (10th Edition) $(-16)(0)=-16\times0=0$ In general, the product of a number and 0 will be 0.
2022-06-28 19:06:38
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
http://gradestack.com/GRE-Prep/Points-to-Remember/Geometry/14324-2860-676-study-wtw
### Geometry 1. There are four major types of angle measures: An acute angle has measure less than 90˚: A right angle has measure 90˚: An obtuse angle has measure greater than 90˚: A straight angle has measure 180°: 2. Two angles are supplementary if their angle sum is 180˚: 3. Two angles are complementary ...
2016-10-23 08:17:44
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 6, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://casmusings.wordpress.com/2015/12/03/recentering-normal-curves-revisited/
# Recentering Normal Curves, revisited I wrote here about using a CAS to determine a the new mean of a recentered normal curve from an AP Statistics exam question from the last decade.  My initial post shared my ideas on using CAS technology to determine the new center.  After hearing some of my students’ attempts to ...
2021-09-18 09:41:22
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 2, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://www.cs.jhu.edu/~mdinitz/theory/event/theory-seminar-xue-chen/
# [Theory Seminar] Xue Chen When: February 27, 2019 @ 12:00 pm – 1:00 pm 2019-02-27T12:00:00-05:00 2019-02-27T13:00:00-05:00 Speaker: Xue Chen Affiliation: Northwestern University Title: Active Regression via Linear-Sample Sparsification Abstract: We present an approach that improves the sample complexity for a va...
2022-01-24 02:37:58
{"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma...
http://physics.aps.org/synopsis-for/10.1103/PhysRevLett.106.185004
# Synopsis: Hot electrons, cold lattice How a material’s structure affects the conduction of ultrahot electrons is being explored with one of the world’s most powerful lasers. The Vulcan laser at Rutherford Appleton Laboratory is capable of producing up to a petawatt $\left({10}^{15}$ $\phantom{\rule{0.333em}{0ex}}\t...
2016-10-27 06:53:08
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 3, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://chemistry.stackexchange.com/questions/135947/reaction-of-cinnamic-acid-with-br2-na2co3
# Reaction of cinnamic acid with Br2/Na2CO3 The first reaction produces benzaldehyde, and the next one (perkin's condensation)produces Cinnamic acid.(X) Now the treatment of X with $$\ce{Br2/Na2CO3}$$ is whats troubling me. $$\ce{Na2CO3}$$ being a base, abstracts the hydrogen from the $$\ce{COOH}$$ group. $$\ce{Br2}$...
2021-08-01 10:16:31
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://en.wikipedia.org/wiki/Conditional_entropy
# Conditional entropy Venn diagram showing additive and subtractive relationships various information measures associated with correlated variables ${\displaystyle X}$ and ${\displaystyle Y}$. The area contained by both circles is the joint entropy ${\displaystyle \mathrm {H} (X,Y)}$. The circle on the left (red and v...
2021-12-07 18:19:32
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 127, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/m...
https://acm.ecnu.edu.cn/problem/2022/
# 2022. Election Time The cows are having their first election after overthrowing the tyrannical Farmer John, and Bessie is one of $N$ cows $(1 \leq N \leq 50,000)$ running for President. Before the election actually happens,however, Bessie wants to determine who has the best chance of winning. The election consists ...
2022-05-17 23:17:47
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://gamedev.stackexchange.com/questions/13693/how-to-calculate-turn-heading-to-a-missile
# How to calculate turn heading to a missile? I have a missile that is shot from a ship at an angle, the missile then turns towards the target in an arc with a given turn radius. How do I determine the point on the arc when I need to start turning so the missile is heading straight for the target? EDIT What I need t...
2020-04-07 04:25:08
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://math.stackexchange.com/questions/3247610/how-many-ways-are-there-to-put-n-different-balls-in-m-different-boxes-so-tha
# How many ways are there to put $N$ different balls in $M$ different boxes so that no box is empty. You are given $$N$$ different balls and $$M$$ different boxes. In how many ways can one distribute the balls so that no box is empty? I've found it hard to answer, I've listed a few cases, but it seems to be much more...
2019-09-22 18:12:19
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://sommos.net/find-the-area-of-the-region-that-lies-inside-both-curves-r-3-cos-r-sin/
discover the area of the region that lies inside both curves $r=3+2\cos\theta ; r=3+2\sin\theta$ The clues of intersection need to be $\frac \pi4 and also \frac 5\pi4$ I don"t think this graphs space symmetrical and also I am lost setting up the problem. Any help would be significantly appreciated. You are watching:...
2021-10-20 13:39:06
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://curriculum.illustrativemathematics.org/MS/students/3/4/11/index.html
# Lesson 11 On Both of the Lines Let’s use lines to think about situations. ### 11.1: Notice and Wonder: Bugs Passing in the Night What do you notice? What do you wonder? ### 11.2: Bugs Passing in the Night, Continued A different ant and ladybug are a certain distance apart, and they start walking toward each oth...
2022-07-03 05:27:08
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://www.neetprep.com/question/6176-following-compounds-lowest-boiling-pointaCHCHCHCHCHbCHCHCHCHCHcCHCHCHCHCHdCHCHCHCH
• Subject: ... • Chapter: ... Which of the following compounds has the lowest boiling point? (a) ${\mathrm{CH}}_{3}{\mathrm{CH}}_{2}{\mathrm{CH}}_{2}{\mathrm{CH}}_{2}{\mathrm{CH}}_{3}$ (b) ${\mathrm{CH}}_{3}\mathrm{CH}=\mathrm{CH}-{\mathrm{CH}}_{2}{\mathrm{CH}}_{3}$ (c) ${\mathrm{CH}}_{3}\mathrm{CH}=\mathrm{CH}-...
2019-04-26 02:31:29
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 4, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://en.khanacademy.org/math/calculus-all-old/taking-derivatives-calc/basic-differentiation-rules-calc/v/constant-derivative-rule
If you're seeing this message, it means we're having trouble loading external resources on our website. If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked. ## Calculus, all content (2017 edition) ### Course: Calculus, all content (2017 edition)>Unit 2 L...
2023-03-29 08:13:05
{"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma...
http://dec41.user.srcf.net/exp/clifford/index.html
In [ 2 ] , Atiyah, Bott and Shapiro calculated certain groups $A_ k$ associated to real Clifford algebra representations, and observed that they were isomorphic to $KO^{-k}(*)$. The same can be said for complex $K$-theory, but a sequence of groups alternating between $\mathbb {Z}$ and $0$ is less impressive. In their p...
2018-12-11 09:34:36
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 11, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma...
http://speedworksracing.net/mgbahdkd/pairing-function-integers-dd0524
Intuition about a proof that no natural number is equivalent to a proper subset of itself. ), An important consequence of the fact noted above is that there is a 1-1 correspondence between recursive functions of n variables and recursive functions of a single variable. The helper functions just glue the components toge...
2021-02-27 15:12:34
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://azat.cc/2020/08/09/postgresql.html
# PostgreSQL Database ## Installation ### Linux/Unix #### Step 1: Installing PostgreSQL # Create the file repository configuration: sudo sh -c 'echo "deb http://apt.postgresql.org/pub/repos/apt $(lsb_release -cs)-pgdg main" > /etc/apt/sources.list.d/pgdg.list' # Import the repository signing key: wget --quiet -O - ...
2022-09-27 02:09:52
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://civil.gateoverflow.in/563/gate2015-1-55
In a region with magnetic declination of $2^{\circ}E$, the magnetic Fore bearing (FB) of a line $AB$ was measured as $N79^{\circ}50’E$. There was local attraction at $A$. To determine the correct magnetic bearing of the line, a point $O$ was selected at which there was no local attraction. The magnetic $FB$ of line $AO...
2022-10-06 07:54:18
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://www.physicsforums.com/threads/diffraction-grating-fringes.427593/
# Diffraction Grating fringes 1. Sep 9, 2010 ### pat666 1. The problem statement, all variables and given/known data Monochromatic light with wavelength 580nm passes through a single slit 2.20um wide and 1.80m from a screen. Find the distance between the first- and second-order dark fringes on the screen. 2. Releva...
2018-03-21 15:50:08
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
http://semantic-portal.net/php-language-reference-expressions
# Expressions Domains: Expressions are the most important building blocks of PHP. In PHP, almost anything you write is an expression. The simplest yet most accurate way to define an expression is "anything that has a value". The most basic forms of expressions are constants and variables. When you type "$a = 5", you...
2021-03-06 17:42:52
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://www.biostars.org/p/227778/#236031
Viral load estimation from WXS (whole exome sequencing) data 4 0 Entering edit mode 5.8 years ago akhattri ▴ 40 Is there any method of estimating number of viral genomes per host genome using whole exome sequencing data. I am specifically interested in HPV which integrates to host genome in head and neck cancer and al...
2022-10-04 19:54:45
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://leetcode.com/articles/set-mismatch/
## Solution #### Approach 1: Brute Force The most naive solution is to consider each number from to , and traverse over the whole array to check if the current number occurs twice in or doesn't occur at all. We need to set the duplicate number, and the missing number, , appropriately in such cases respectively. Comp...
2019-05-27 13:11:10
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
http://www.cs.utexas.edu/users/flame/laff/pfhp/week4-hello-world.html
## Unit4.2.3Hello World! We will illustrate some of the basics of OpenMP via the old standby, the "Hello World!" program: #include <stdio.h> #include <stdlib.h> int main(int argc, char *argv[]) { printf( "Hello World!\n" ); } ###### Homework4.2.3.1. In Week4/C/ compile HelloWorld.c with the command gcc -o HelloWo...
2019-10-15 16:05:06
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://www.gradesaver.com/textbooks/math/calculus/calculus-8th-edition/appendix-d-trigonometry-d-exercises-page-a33/63
## Calculus 8th Edition $sin2y=\frac{24}{25}$ Evaluate the expression $sin2y$ Given: $sinx=\frac{1}{3}$ and $secy=\frac{5}{4}$ Since, $sin2y=2sinycosy$ ...(1) Thus, $sinx=\frac{1}{3}$ gives opp =1 , hyp = 3 and adj $=\sqrt {3^{2}-1^{2}}=2\sqrt 2$ Therefore, $cos x=\frac{2\sqrt 2}{3}$ Now, $secy=\frac{5}{4}$ gives hyp ...
2018-07-23 00:37:52
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://www.semanticscholar.org/paper/Stochastic-Models-for-the-3x%2B1-and-5x%2B1-Problems-Kontorovich-Lagarias/6fd6e10cf0a7ccec8c796ff1d53988d8e513a791
Corpus ID: 115169803 Stochastic Models for the 3x+1 and 5x+1 Problems @article{Kontorovich2009StochasticMF, title={Stochastic Models for the 3x+1 and 5x+1 Problems}, author={Alex Kontorovich and J. Lagarias}, journal={arXiv: Number Theory}, year={2009} } • Published 2009 • Mathematics • arXiv: Number Theory This pape...
2021-09-17 08:10:18
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
http://www.math.stonybrook.edu/~oleg/courses/mat310.spr18.html
# MAT 310: Linear Algebra ## Stony Brook University - Spring 2018 This is a mathematically rigorous course with complete proofs. Topics covered will include vector spaces, linear maps, dual spaces, linear transformations, eigenvalues, inner product spaces, the charateristic and minimal polynomial of a linear operator...
2018-02-19 04:10:11
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://robotics.stackexchange.com/questions/1514/reducing-motor-speed-without-jamming-up/1522
# Reducing motor speed without jamming up So I built three little bots so far. One with a raspberry-pi, (6V motors), one with an arduino (12V motors), and another with an arduino but a hacked remote car (7ish, volt motors): The problem I have with all these is that the motors spin so fast the car just bumps into som...
2020-10-22 12:18:00
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://gateoverflow.in/user/tusharp/activity
# Recent activity by tusharp 1 When searching for the key value $60$ in a binary search tree, nodes containing the key values $10, 20, 40, 50, 70, 80, 90$ are traversed, not necessarily in the order given. How many different orders are possible in which these key values can occur on the search path from the root to th...
2020-08-10 00:11:52
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://docs.microsoft.com/en-us/dotnet/visual-basic/programming-guide/language-features/data-types/type-characters
# Type characters (Visual Basic) In addition to specifying a data type in a declaration statement, you can force the data type of some programming elements with a type character. The type character must immediately follow the element, with no intervening characters of any kind. The type character is not part of the n...
2019-08-20 09:38:35
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://cs.stackexchange.com/questions/98387/why-is-maxn-k-%D3%A8nk?noredirect=1
# Why is max{n,k}= Ө(n+k) [duplicate] • Use the definitions. Be mindful of what $n$, $k$ mean here, and how the definition of $\Theta$ extends to two parameters. (Hint: it doesn't, really.) – Raphael Oct 10 '18 at 6:15 Assuming n and k to be non-negative, $$n\leq n+k$$ and $$k\leq n+k$$. Hence,$$\max(n, k) \in \mathca...
2019-08-20 12:48:44
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://en.formulasearchengine.com/wiki/Electron
# Electron Template:Pp-pc1 {{#invoke:Hatnote|hatnote}} Template:Pp-move-indef Template:Infobox particleThe electron is a subatomic particle, symbol Template:SubatomicParticle or Template:SubatomicParticle, with a negative elementary electric charge.[1] Electrons belong to the first generation of the lepton particle fa...
2020-08-14 20:03:06
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 7, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://www.sangakoo.com/en/unit/the-circle
# The circle The perimeter of the circle is: $$P=2\cdot\pi r$$$The area of the circle is: $$A=\pi \cdot r^2$$$ Using proportions it is possible to find the area of a circular sector and the length of the arc: $$\frac{A_{sector}}{A_{cercle}}=\frac{A_{sector}}{\pi \cdot r^2}=\frac{\beta_{degrees}}{360^\circ} \\ \frac{I...
2020-01-25 05:37:26
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
http://openstudy.com/updates/4f1907ece4b04992dd21f1fc
## anonymous 4 years ago The sum of the digits of a two-digit number is 12. When the digits are reversed, the new number is 18 less than the original number. Find the original number. 1. Hero 57 and 75. 2. anonymous I can't choose both. 3. anonymous & how did you find the answer ? 4. Hero The original number is...
2017-01-17 11:32:01
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
http://www.lofoya.com/Solved/1246/anil-does-a-work-in-90-days-bittu-in-40-days-and-chintu-in-12-days
# Moderate Time and Work Solved QuestionAptitude Discussion Q. Anil does a work in 90 days, Bittu in 40 days and Chintu in 12 days. They work one after another for a day each, starting with Anil followed by Bittu and then by Chintu. If the total wages received are Rs 360 and Anil, Bittu, Chintu share them in the rati...
2017-07-24 10:44:44
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 2, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://theworldismysterious.wordpress.com/2013/10/12/chaos-theory-tent-map-part-2/
# Chaos Theory: Tent Map (Part 2) Continuing from the previous post; the graph below shows the tent map for a range of $\mu$ values, here we’ll use initial condition 0.4. Tent map for a range of values of $\mu$ For $\mu < 1$ the system converges to 0 for all initial conditions. If $\mu = 1$ then all initial conditio...
2017-06-29 15:47:39
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 28, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma...
https://dash.harvard.edu/handle/1/10579045
# The Effects of Inorganic Nitrogen form and $$CO_2$$ Concentration on Wheat Yield and Nutrient Accumulation and Distribution Title: The Effects of Inorganic Nitrogen form and $$CO_2$$ Concentration on Wheat Yield and Nutrient Accumulation and Distribution Author: Carlisle, Eli; Myers, Samuel Skipworth; Raboy, Victor...
2018-06-25 16:07:19
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://www.angioi.com/time-nested-cv-with-sklearn/
# Time Series Nested Cross-Validation with scikit-learn In this short post, I will show how to perform nested cross-validation on time series data with the scikit-learn function TimeSeriesSplit; this function by default just splits the data into time-ordered Train/Test sets, but we will see that it is easy to bring a ...
2022-08-10 19:29:17
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://calculator.academy/room-resonant-frequency-calculator/
Enter the length of the longest dimension of the room (ft) and the ${V2} into the Room Resonant Frequency Calculator. The calculator will evaluate the Room Resonant Frequency. ## Room Resonant Frequency Formula The following two example problems outline the steps and information needed to calculate the Room Resonant Fr...
2023-03-31 09:38:47
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://physics.stackexchange.com/questions/531064/positivity-of-dt
# Positivity of $dt$? ## Background I had an idea to write time $$dt$$ in the first law of thermodynamics. So let us proceed with the $$1$$'st law in differential form: $$dw = T dS - d U$$ where $$w$$ is the work, $$T$$ is temperature, $$S$$ is the entropy and $$U$$ is the internal energy. Now, let the work be in ...
2020-02-22 13:42:36
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://www.nature.com/articles/s41598-022-06754-y?error=cookies_not_supported&code=6bd1e535-b4ad-4e1b-83bd-f6a29a8bc54d
## Introduction With ten orders of magnitude brighter photon beams than third-generation light sources, the x-ray Free Electron Lasers (XFELs) are the brightest sources of x-rays for scientific applications1,2,3,4. The unique features of wavelength tunability, femtosecond pulse duration, and excellent transverse coher...
2023-04-01 16:34:05
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
http://ziqq.nauticalsas.it/cholesky-decomposition-code.html
# Cholesky Decomposition Code GitHub Gist: instantly share code, notes, and snippets. I'm using the latest version of Eigen (3. Our goal is to solve the system Ax = b. Example 1 - Cholesky Decomposition. For any $$m\times n$$ matrix $$A$$ # Your code here. (I worked out matrices with QuantLib some time ago. To compute...
2020-08-11 10:29:22
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 3, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://www.gurobi.com/documentation/8.1/refman/cs_grbenv2.html
Documentation Filter Content By Version Languages GRBEnv() Constructor for GRBEnv object. You have the option of constructing either a local environment, which solves Gurobi models on the local machine, a client environment for a Gurobi compute server, which will solve Gurobi models on a server machine, or an Instan...
2020-02-20 19:02:28
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
http://openstudy.com/updates/508dc714e4b02e69fc4373e0
## Tresag 2 years ago simplify to the lowest terms 16a^2/4a+11b-121b^2/4a+11b 1. gaara438125 $\frac{ 16a^2 }{ 4a + 11 } - \frac{ 121b^2 }{ 4a + 11b }$ i'm guessing you meant that? 2. Tresag yes 3. gaara438125 find an LCD which in this case is? 4. Tresag i don't know...nothing goes into 121 5. gaara438125 the ...
2014-12-22 07:53:08
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://homework.cpm.org/category/CCI_CT/textbook/apcalc/chapter/9/lesson/9.4.2/problem/9-127
### Home > APCALC > Chapter 9 > Lesson 9.4.2 > Problem9-127 9-127. Timmy is tired. He does not want to add the infinite terms of $\frac { 1 } { 2 } + \frac { 1 } { 4 } + \frac { 1 } { 8 } + \frac { 1 } { 16 } + \ldots$. So instead, he just adds the first three terms. 1. How far is his result from the actual sum of t...
2021-04-10 19:19:50
{"extraction_info": {"found_math": true, "script_math_tex": 7, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://forum.azimuthproject.org/plugin/ViewComment/18198
Jonathan I'm not sure if everything I did here is legal but if you look at the progression below you can literally see associativity spring up from reflexivity and monoidal preorder laws: ![associativity proof](http://aether.co.kr/images/associativity_proof.svg) So you start with \$$x \otimes y \otimes z \$$. Then a...
2020-12-02 16:12:50
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 2, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://programming-dp.com/notebooks/ch2.html
# $$k$$-Anonymity¶ $$k$$-Anonymity [2] is a formal privacy definition. The definition of $$k$$-Anonymity is designed to formalize our intuition that a piece of auxiliary information should not narrow down the set of possible records for an individual “too much.” Stated another way, $$k$$-Anonymity is designed to ensur...
2021-10-25 14:16:21
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://www.nextgurukul.in/wiki/concept/cbse/class-10/maths/statistics/mode-of-grouped-data/3957244
Notes On Mode of Grouped Data - CBSE Class 10 Maths In Statistics Mean, Median and Mode are known as the measures of central tendencies. The mode of a given set of data is the observation with the maximum frequency. The first step towards finding the mode of the grouped data is to locate the class interval with the max...
2022-07-01 14:36:49
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 6, "mathjax_tag": 2, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://www.shaalaa.com/question-bank-solutions/surface-area-right-circular-cylinder-the-students-vidyalaya-were-asked-participate-competition-making-decorating-penholders-shape-cylinder-base-using-cardboard-each-penholder-was-be-radius-3-cm-height-105-cm_6988
Solution - The students of a Vidyalaya were asked to participate in a competition for making and decorating penholders in the shape of a cylinder with a base, using cardboard. Each penholder was to be of radius 3 cm and height 10.5 cm. - Surface Area of a Right Circular Cylinder Account Register Share Books Shortlis...
2018-01-22 02:02:33
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://www.wptricks.com/question/network-site-domain-mapping-still-applied-after-being-removed/
## network site domain mapping still applied after being removed Question I have a sub-domain network installation on www.example.com One of the sites is rabbit.example.com This site used to have a domain mapping to www.rabbit.com. I removed this mapping. However, when I go to http://rabbit.example.com/wp-admin, ...
2021-09-23 01:50:26
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
http://www.chegg.com/homework-help/questions-and-answers/calorimeter-consists-massless-beaker-contains-200-g-solid-water-e-ice-30-degrees-celsius---q1263668
A calorimeter consists of a massless beaker that contains 20.0 g of solid water (i.e., ice) at -30 degrees Celsius . Then 100.0 g of iron at 70.0 degrees celsius are added to the calorimeter. a) Find the final temperature of the calorimeter after equilibrium is reached. If the final temperature is 0 degrees Celsius, wh...
2015-06-03 03:00:40
{"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma...
https://fr.mathworks.com/matlabcentral/answers/474367-how-can-i-fix-this-problem-undefined-function-taylor-for-input-arguments-of-type-double
## How can i fix this problem "Undefined function 'Taylor' for input arguments of type 'double'." ### Pedro Leiva Quero (view profile) on 1 Aug 2019 Latest activity Commented on by Honglei Chen ### Honglei Chen (view profile) on 9 Aug 2019 I have a big Script Trying to Simulate a Radar Pattern, the Script is from a...
2019-10-22 16:37:46
{"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma...
https://worldbuilding.stackexchange.com/questions/19594/organizing-lore
# Organizing Lore [duplicate] I have been compiling some lore notes on my world by hand for some time now. I realize they will only get more extensive and am currently looking for a way to organize them digitally. Does anyone have any suggestions on an efficient way to do this? I am looking for anything from software ...
2019-08-18 13:56:59
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://socratic.org/questions/how-do-you-simplify-sqrt3-div-sqrt12-sqrt5
# How do you simplify sqrt3 div(sqrt12 - sqrt5)? May 15, 2018 $\frac{\sqrt{3}}{2 \sqrt{3} - \sqrt{5}}$ #### Explanation: First, we find the factors of $\sqrt{12}$ and simplify it further. $\sqrt{12}$ = sqrt(4 xx 3 = $\sqrt{4} \times \sqrt{3}$ = $2 \times \sqrt{3}$ $\frac{\sqrt{3}}{\sqrt{12} - \sqrt{5}}$ ----->we ...
2021-06-21 00:56:53
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 12, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma...
https://mersenneforum.org/showpost.php?s=419911a91763d554694822e6af65a970&p=335900&postcount=8
View Single Post 2013-04-02, 21:03 #8 bsquared     "Ben" Feb 2007 D6E16 Posts Looks like you are missing the factor base bounds. i.e., something like: Code: rlim: 300000000 alim: 300000000 The actual bounds could probably be optimized over the above, but these should be in the right ballpark.
2021-05-11 20:05:33
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://electronics.stackexchange.com/questions/5120/does-it-make-sense-to-use-mwh-h-as-unit-of-measure/5126
Does it make sense to use MWh/h as unit of measure? Since MW is actually the rate of energy is being used, why would we use MWh/h as in Fingrid's electricity market Load and Generation forecast page? Wouldn't MWh/h be the same as MW??? • must be some power-company way of looking at things. i'd agree that MW-H per ho...
2022-07-06 14:17:32
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://www.cfd-online.com/W/index.php?title=Gaussian_elimination&diff=4923&oldid=4922
# Gaussian elimination (Difference between revisions) Revision as of 22:23, 16 December 2005 (view source)Tsaad (Talk | contribs) (capitalized Phi)← Older edit Revision as of 22:30, 16 December 2005 (view source)Jasond (Talk | contribs) Newer edit → Line 1: Line 1: == Gauss Elimination == == Gauss Elimination == - We...
2018-02-25 20:34:27
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 8, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://ftp.aimsciences.org/article/doi/10.3934/mcrf.2018046
# American Institute of Mathematical Sciences September & December  2018, 8(3&4): 1081-1095. doi: 10.3934/mcrf.2018046 ## Optimal actuator location of the minimum norm controls for stochastic heat equations 1 School of Mathematics and Statistics, School of Information Science and Engineering, Central South Universi...
2022-05-26 01:32:34
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
http://wiki.zcubes.com/index.php?title=Manuals/calci/LUCAS&diff=next&oldid=197592
Difference between revisions of "Manuals/calci/LUCAS" LUCAS(n) • is the number indicating the position. Description • This function gives the Lucas series of the numbers. • Lucas numbers are similar to the Fibonacci numbers. • It is generated by added the last two numbers in the series. • In , is the numbers positi...
2022-12-04 05:44:39
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://scholars.duke.edu/display/pub1453381
# Non-Hermitian random matrices with a variance profile (II): properties and examples Journal Article For each $n$, let $A_n=(\sigma_{ij})$ be an $n\times n$ deterministic matrix and let $X_n=(X_{ij})$ be an $n\times n$ random matrix with i.i.d. centered entries of unit variance. In the companion article Cook et al.,...
2021-01-23 23:36:01
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 2, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://docs.fenicsproject.org/dolfinx/main/python/demos/demo_tnt-elements.html
# Creating TNT elements using Basix’s custom element interface This demo (demo_tnt-elements.py) illustrates how to: • Define custom finite elements using Basix We begin this demo by importing everything we require. import matplotlib.pylab as plt import numpy as np import basix import basix.ufl_wrapper from dolfin...
2022-08-16 19:05:47
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://www.physicsforums.com/threads/molar-specific-heat.406210/
# Molar Specific Heat 1. Homework Statement What si the difference between the molar specific heat at constant volume and at constant pressure? ## The Attempt at a Solution Mapes Homework Helper Gold Member Please show the work you've done on the problem so far, then you'll likely get suggestions for continuing. T...
2021-09-25 11:39:55
{"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma...
https://ask.sagemath.org/question/51919/how-do-i-get-the-output-of-this-text-in-latex-with-sagetex/?sort=oldest
How do I get the output of this text in latex with sagetex? Using Sage\TeX, one can use Sage to compute things and put them into your \LaTeX{} document. For example, there are $\sage{number_of_partitions(1269)}$ integer partitions of $1269$. You don't need to compute the number yourself, or even cut and paste it from ...
2021-01-23 23:53:00
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://homework.cpm.org/category/CCI_CT/textbook/pc3/chapter/11/lesson/11.2.1/problem/11-92
### Home > PC3 > Chapter 11 > Lesson 11.2.1 > Problem11-92 11-92. Suppose Benny Bug is crawling on the graph of $y = f(x) \text{ as } x → ∞$ and thinks he is getting closer and closer to $y = 2$. Bertha Bug is crawling on the graph of $g(x) = 3 + f(x)$ as $x → ∞$. What number does Bertha think she is getting close to...
2020-05-26 23:02:37
{"extraction_info": {"found_math": true, "script_math_tex": 5, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
http://accesspediatrics.mhmedical.com/content.aspx?bookid=1345&sectionid=72123091
Chapter 35 #### High-Yield Facts • Bronchiolitis is a self-limited, virally mediated, acute inflammatory disease of the lower respiratory tract, resulting in obstruction of the small airways that occurs almost exclusively in infants. • It is a clinical diagnosis characterized by rapid respiration, chest retractions ...
2017-01-18 16:01:18
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
http://meetings.aps.org/Meeting/MAR07/Event/63166
### Session X4: Quantum Order in Chiral Magnets 8:00 AM–11:00 AM, Friday, March 9, 2007 Colorado Convention Center Room: Korbel 2B-3B Chair: Chandra Varma, University of California, Riverside Abstract ID: BAPS.2007.MAR.X4.4 ### Abstract: X4.00004 : Investigation of the Metallic State in Cubic FeGe beyond its Quantu...
2013-05-22 05:07:35
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://www.nag.com/numeric/nl/nagdoc_26/nagdoc_cl26/html/d06/d06cbc.html
d06 Chapter Contents d06 Chapter Introduction NAG Library Manual # NAG Library Function Documentnag_mesh2d_sparse (d06cbc) ## 1  Purpose nag_mesh2d_sparse (d06cbc) generates the sparsity pattern of a finite element matrix associated with a given mesh. ## 2  Specification #include #include void nag_mesh2d_sparse ...
2021-06-18 18:49:05
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 67, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma...
https://blog.datadive.net/selecting-good-features-part-i-univariate-selection/?replytocom=1711
# Feature selection – Part I: univariate selection Having a good understanding of feature selection/ranking can be a great asset for a data scientist or machine learning practitioner. A good grasp of these methods leads to better performing models, better understanding of the underlying structure and characteristics o...
2021-01-27 10:20:46
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 2, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://study.com/academy/answer/find-a-linear-approximation-formula-l-x-for-f-x-e-x-near-x-0.html
# Find a linear approximation formula, L(x) , for f(x)=e^x near x=0 . ## Question: Find a linear approximation formula, {eq}L(x) {/eq}, for {eq}f(x)=e^x {/eq} near {eq}x=0 {/eq}. ## Linear Approximation: In mathematics specifically in numerical mathematics the linearization process refers to finding a linear approx...
2020-07-05 18:58:40
{"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma...
https://stacks.math.columbia.edu/tag/0FY9
57.5 Characterizing coherent modules This section is in some sense a continuation of the discussion in Derived Categories of Schemes, Section 36.34 and More on Morphisms, Section 37.67. Before we can state the result we need some notation. Let $k$ be a field. Let $n \geq 0$ be an integer. Let $S = k[X_0, \ldots , X_ ...
2022-11-29 13:40:17
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 2, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://community.boredofstudies.org/threads/help-please-harder-extension-1-limits.281491/
HELP PLEASE - harder EXTENSION 1 (limits) (1 Viewer) cssftw Member Have no idea how to do this: limit as n-->(infinity) OF (3^n + 5^n)^(1/n) --> just graphed it - it's a weird graph, the answer is 5 - can someone please show working out help appreciated Carrotsticks Retired $\bg_white \lim_{n \rightarrow \infty} ...
2020-11-26 04:01:43
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 16, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma...
https://codegolf.meta.stackexchange.com/questions/11672/is-this-valid-for-this-se-site
# Is this valid for this SE site? I am new to this SE and don't know if this fits theme of this website. That is why first posting in meta site. Feel free to suggest some other SE if applicable. Sorry for the long post. But this much info is needed to explain ! ### Background: I am student and working in one science...
2020-08-15 15:05:44
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://forum.azimuthproject.org/discussion/659/question-about-stochastic-processes-esp-for-tweed-and-urban
#### Howdy, Stranger! It looks like you're new here. If you want to get involved, click one of these buttons! Options # Question about stochastic processes - esp. for Tweed and Urban? Hi! Once upon a time we were talking about something like this... I only vaguely remember it, so interpret this generously, through ...
2023-04-02 06:02:33
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
http://dasublogbyprashanth.blogspot.com/2013_03_01_archive.html
2013-03-31 Featured Comments: Week of 2013 March 24 There were two posts that got a few comments each, so I will repost most of those. Review: Linux Mint MATE 201303 Reader Gary Newell said, "This is a good in depth review. I am currently using the Mint 14 Cinnamon release (Ubuntu base). If you have a powerful enou...
2014-07-25 08:21:41
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 2, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
http://physics.stackexchange.com/questions/39679/why-cant-collisions-be-elastic
# Why can't collisions be elastic? I understand that in inelastic collisions thermal energy is given out, but why does that happen? Why can't they simply rebound without giving off energy? Also, why in some collisions more heat is given out than in others (i.e. what determines that one collision is more inelastic than...
2014-10-21 14:12:23
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://www.esaral.com/q/in-a-abc-if-a-4-b-3-91066
# In a ∆ABC, if a = 4, b = 3, Question: In a $\triangle A B C$, if $a=4, b=3, A=\frac{\pi}{3}$. Then side $C$ is given by Solution: In ∆ABC if $a=4, b=3, A=\frac{\pi}{3}$ Since $\cos A=\frac{b^{2}+c^{2}-a^{2}}{2 b c}$ i. e $\cos \frac{\pi}{3}=\frac{9+c^{2}-16}{2 \times 3 \times c}$ i. e $\frac{1}{2}=\frac{c^{2}...
2023-03-28 04:50:55
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://physics.stackexchange.com/questions/620923/affine-and-metric-geodesics
# Affine and metric geodesics In D'Inverno's "Introducing Einstein's Relativity", an affine geodesic is defined as a privileged curve along which the tangent vector is propagated parallel to itself. Choosing an affine parameter, the affine geodesic equation reduces to $$\frac{d^2x^a}{ds^2}+\Gamma^a_{bc}\frac{dx^b}{ds...
2021-05-06 22:00:39
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
http://koreascience.or.kr/article/JAKO199611919485001.page
# AN INVERSE HOMOGENEOUS INTERPOLATION PROBLEM FOR V-ORTHOGONAL RATIONAL MATRIX FUNCTIONS • Kim, Jeon-Gook • Published : 1996.11.01 • 43 4 #### Abstract For a scalar rational function, the spectral data consisting of zeros and poles with their respective multiplicities uniquely determines the function up to a nonzer...
2019-10-16 14:02:48
{"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma...
https://andrescaicedo.wordpress.com/2008/10/22/partitioning-numbers/
## Partitioning numbers A student asked me the other day the following rather homework-looking question: Given a natural number $n$, how many solutions $(x,y)$ does the equation $n=x+2y$ have for $x$ and $y$ natural numbers? The question has a very easy answer: Simply notice that $0\le 2y\le n$ and that any $y$ lik...
2020-05-25 14:23:10
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 44, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma...
https://powping.com/posts/703733302a6d3631fb110c2eae0e777b94fed3982b8dae6788c8b99c9e619e00
# @john is on PowPing! PowPing is a place where you can earn Bitcoin simply by socializing, for FREE. Never tried Bitcoin? It's OK! Just come, socialize, and earn Bitcoin. # Moneybutton token giveaways Total Economy: 0 USD # "Winning Time" How to win the CryptoCrap race by starting now, following your nose and pac...
2021-10-27 14:18:53
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
http://tuananhle.co.uk/notes/gaussian.html
# Gaussian unknown mean 04 September 2016 Consider the following generative model for $N$ $D$-dimensional data points $x_{1:N}$: \begin{align} \mu &\sim \mathrm{Normal}(\mu_0, \Sigma_0), \\ x_n \mid \mu &\sim \mathrm{Normal}(\mu, \Sigma), && n = 1, \dotsc, N, \end{align} where $\mu_0 \in \mathbb R^D, \Sigma_0 \in \ma...
2020-01-18 02:59:28
{"extraction_info": {"found_math": true, "script_math_tex": 18, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma...