url stringlengths 14 2.42k | text stringlengths 100 1.02M | date stringlengths 19 19 | metadata stringlengths 1.06k 1.1k |
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https://codereview.stackexchange.com/questions/166215/resizing-and-recoloring-a-logo-using-php-gd-library | # Resizing and recoloring a logo using PHP GD Library
I have the following code, that works very well. However I'm about to launch it to 5000 users and will no doubt take a beating early on. I want to ensure that if there are any opportunities to streamline so the code executes better or faster, that I do not miss the... | 2023-01-29 10:26:30 | {"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://math.stackexchange.com/questions/3945710/prove-theorem-of-bolzano-weierstrass-by-least-upper-bound-property | # Prove theorem of Bolzano-Weierstrass by least upper bound property
Let be $$(a_n)_{n\in\mathbb{N}}$$ a bounded sequence of real numbers and we want to show that it contains a convergent subsequence.
My approach:
We know, by the least upper bound property, that the set $$M:=\{a_n\mid n\in\mathbb{N}\}$$ has a suprem... | 2021-08-02 07:04:43 | {"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://buboflash.eu/bubo5/show-dao2?d=1677806406924 | Chemical antagonism occurs when a drug’s action is blocked and no receptor activity is involved. For example, protamine is a positively charged protein that forms an ionic bond with heparin, thus rendering it inactive. Sugammadex, mentioned previously, is another example
If you want to change selection, open document b... | 2022-05-22 07:30:56 | {"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://www.nag.com/numeric/CL/nagdoc_cl24/html/F07/f07gdc.html | f07 Chapter Contents
f07 Chapter Introduction
NAG Library Manual
# NAG Library Function Documentnag_dpptrf (f07gdc)
## 1 Purpose
nag_dpptrf (f07gdc) computes the Cholesky factorization of a real symmetric positive definite matrix, using packed storage.
## 2 Specification
#include #include
void nag_dpptrf (Nag_... | 2015-03-31 10:38:52 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 81, "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://bop-protocol.org/northern-ireland/riemann-sum-practice-problems-pdf.php | # Northern Ireland Riemann Sum Practice Problems Pdf
## Riemann Sum Practice Problems
### Riemann Sums and definite integrals
DEFINITE INTEGRALS University of California Berkeley. Section 9.4: Approximation of Definite Integrals Review of Riemann Sums If a < b, f(x) is a function on [a,b], and a = x 0 ≤ a 0 ≤ ... | 2022-01-22 21:16:14 | {"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://chemistry.stackexchange.com/questions/15586/hi-p-reduction-mechanism | HI/P reduction mechanism
I recently answered a question about Breaking Bad's initial methamphetamine production method (i.e. the reduction of (pseudo)ephedrine). The reaction is as follows:
(Source)
It is infamously known as the $\ce{HI/P}$ reduction and was (and still is somewhat) a real plague in the United States... | 2021-04-13 18:47:29 | {"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.rossry.net/reading-feb-2019/ | # Reading Feed (February 2019)
### (27)
Blog: Otium | The Tale of Alice Almost: Strategies for Dealing With Pretty Good People — "Suppose Alice Almost is much more V-virtuous than the average person — say, she’s in the top one percent of the population at the practice of V. But she’s still exhibited some clear-cut fa... | 2019-03-20 01:53:17 | {"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": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://www.physicsforums.com/showpost.php?p=4224178&postcount=1 | View Single Post
P: 3,883 This is only an example from Kraus Antenna 3rd edition page 404. The question is really a math problem involves calculation of ratio of solid angles. Just ignore the antenna part. this is directly from the book: Example 12-1.1 Mars temperature The incremental antenna temperature for the plane... | 2014-07-22 09:19:22 | {"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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://theinfolist.com/html/ALL/s/pregnancy.html | TheInfoList
Pregnancy, also known as gestation, is the time during which one or more
offspring In biology, offspring are the young creation of living organisms, produced either by a Asexual reproduction, single organism or, in the case of sexual reproduction, two organisms. Collective offspring may be known as a brood... | 2022-07-05 18:23:04 | {"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://labs.tib.eu/arxiv/?author=V.%20Kruchonok | • ### Measurement of shower development and its Moli\ere radius with a four-plane LumiCal test set-up(1705.03885)
March 12, 2018 physics.ins-det
A prototype of a luminometer, designed for a future e+e- collider detector, and consisting at present of a four-plane module, was tested in the CERN PS accelerator T9 beam. T... | 2021-01-17 00:11:01 | {"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": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://en.1answer.info/tag/7370616365-61746d6f737068657265 | # atmosphere's questions - English 1answer
142 atmosphere questions.
### 16 Are there any known atmospheres that would support traditional combustion engines?
4 answers, 2.629 views atmosphere combustion
If we landed a traditional automobile on the moon, the combustion engine would lack oxygen, and, for obvious reas... | 2018-06-23 06:42:41 | {"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": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.europeanpharmaceuticalreview.com/news/170696/sanofi-begins-construction-singapore-vaccine-facility/ | news
# Sanofi begins construction of Singapore vaccine facility
0
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The facility is designed around a central unit that comprises several fully digitalised modules, which can produce up to four vaccines simultaneously, regardless of the vaccine technology used.
(From left) DPM Heng Swee Keat, Sanofi'... | 2022-12-03 02:42:42 | {"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.italki.com/discussion/22542 | # Hello,everybody,is there any rules for the russian stress?
I often get confused with the "o", when should it be prononced like "a" ? or is there some stabil rule for it, if not , how can people recognize the tone???thx
Share:
The "о" vowel is pronounced like an "а" when it's not stressed:
небо [не́ба] = the sky
по... | 2015-10-13 17:17:10 | {"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://cms.math.ca/cjm/msc/35B33 | Solutions for Semilinear Elliptic Systems with Critical Sobolev Exponent and Hardy Potential In this paper we consider an elliptic system with an inverse square potential and critical Sobolev exponent in a bounded domain of $\mathbb{R}^N$. By variational methods we study the existence results. Keywords:critical Sobolev... | 2015-05-24 21:29:11 | {"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://socratic.org/questions/how-do-you-write-the-first-five-terms-of-the-arithmetic-sequence-given-a-4-16-a- | How do you write the first five terms of the arithmetic sequence given a_4=16, a_10=46?
Dec 22, 2017
$\left\{1 , 6 , 11 , 16 , 21 , . .\right\}$
Explanation:
the $n t h$ term of an AP is given by
$n t h = {a}_{1} + \left(n - 1\right) d$
we are given
${a}_{4} = 16 \implies 16 = {a}_{1} + 3 d - - - \left(1\right)$... | 2019-11-17 02:05:34 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 17, "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... |
http://www.heldermann.de/MTA/MTA02/MTA021/mta02007.htm | Journal Home Page Cumulative Index List of all Volumes Complete Contentsof this Volume Previous Article Minimax Theory and its Applications 02 (2017), No. 1, 079--097Copyright Heldermann Verlag 2017 Perturbation Effects for a Singular Elliptic Problem with Lack of Compactness and Critical Exponent Vicentiu D. Radulescu... | 2017-10-21 06:50:22 | {"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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.gradesaver.com/textbooks/math/algebra/college-algebra-11th-edition/chapter-4-section-4-2-exponential-functions-4-2-exercises-page-410/71 | ## College Algebra (11th Edition)
Published by Pearson
# Chapter 4 - Section 4.2 - Exponential Functions - 4.2 Exercises - Page 410: 71
#### Answer
$x=-7$
#### Work Step by Step
We rewrite the 4 on the left, so that the base is $2$ on both sides. $4^{x-2}=2^{3x+3}$ $(2^2)^{x-2}=2^{3x+3}$ By the law of exponents: ... | 2018-11-18 14:13:40 | {"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": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://stats.stackexchange.com/questions/231071/t-test-for-different-group-size-equal-variance | # T-test for different group size equal variance
I am very bad with statistics therefore I hope you guys can be kind.
I have two groups of data, say: Stroke ($$n=5$$) Healthy ($$n=30$$)
where $$n$$ is the number of subjects. Each subject have 10 readings for every parameters I am taking. I would like to do a compari... | 2019-06-27 06:50:17 | {"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": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://obc.lbl.gov/specification/example.html | # 12. Example Application¶
## 12.1. Introduction¶
In this section, we compare the performance of two different control sequences. The objectives are to demonstrate the setup for closed loop performance assessment, to demonstrate how to compare control performance, and to assess the difference in annual energy consump... | 2023-02-07 18:05:21 | {"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://math.stackexchange.com/questions/1280673/showing-that-a-function-is-not-continuous | # Showing that a function is not continuous
$$f(x)= \left\{ \begin{array}{} x, &x\in \mathbb{Q} \\ 0, &x\in \mathbb{R} \setminus\mathbb{Q} \end{array} \right.$$ Show that f is not continuous for $x\neq0$.
I'd like to know if my attempted solution is ok:
Let $x_0\neq0$ and $\delta\gt0$. Since rational and irrational ... | 2020-01-19 10:27:42 | {"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://mathhelpforum.com/calculus/90812-problem-finding-max-value-urgent.html | # Math Help - problem on finding max value (URGENT)
1. ## problem on finding max value (URGENT)
I was wondering what would be the way to answer this question. I know that trial error is one way but i also know that there is a differential calculus like method. But i am not sure about how to do it. Could some one plea... | 2014-10-25 13:27:41 | {"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": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 4, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://vmu.phys.msu.ru/en/abstract/2017/3/17-3-111/ | Faculty of Physics
M.V.Lomonosov Moscow State University
Regular Article
# An Optimization Method for the Calculation of Hamiltonian Matrix Elements for Josephson Flux Qubits
## A. V. Kuznetsov$^1$, N. V. Klenov$^{1,2,3}$
### Moscow University Physics Bulletin 2017. 72. N 3. P. 287
• Article
Annotation
This work a... | 2022-01-24 01:26:53 | {"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": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://math.stackexchange.com/questions/832434/why-is-the-domain-of-convergence-of-a-power-series-a-perfect-disk | # Why is the domain of convergence of a power series a perfect disk?
I've been going over power series in my Differential Equations class for approximating solutions, and one thing that's been fascinating me is the statement that there is a radius of convergence, around the point for which the series converges. Now, I... | 2016-06-28 16:56:24 | {"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://socratic.org/questions/560fec8711ef6b16f1fe6807#174007 | # Question #e6807
Oct 3, 2015
I found ii)
#### Explanation:
We can write:
$A = {B}^{n} \cdot {C}^{m}$ as:
$L T = {\left({L}^{2} {T}^{-} 1\right)}^{n} \cdot {\left(L {T}^{2}\right)}^{m}$
$L T = {L}^{2 n} {T}^{- 1 n} \cdot {L}^{m} {T}^{2 m}$ and:
$L T = {L}^{2 n + m} {T}^{- n + 2 m}$
So to have the two sides equal we... | 2022-01-24 17:06:09 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 13, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://electronics.stackexchange.com/questions/152539/adding-subtracting-in-binary-and-hexadecimal-formats | # Adding/Subtracting in binary and hexadecimal formats?
I have two numbers(in decimal):
M = 3892.74
N = 9341.65
I am trying to add and subtract them in binary numbers and then in hexadecimal numbers. I manage to convert the numbers into binary/ hexadecimal with 4 fraction digits.
M = 111100110100.1011 and M = f3... | 2019-10-16 22:21:29 | {"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": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://www.mathstat.dal.ca/~selinger/quipper/doc/QuipperLib-QFTAdd.html | The Quipper System
Add one QDInt onto a second, in place; i.e. (x,y) ↦ (x,x+y). Arguments are assumed to be of equal size. This implementation follows the implementation in Thomas G. Draper's paper "Addition on a Quantum Computer" which doesn't require the use of any ancilla qubits through a clever use of the Quantum ... | 2017-10-24 07:26:15 | {"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://mathhelpforum.com/calculus/14893-power-series.html | # Thread: power series
1. ## power series
The problem says:
Identifying the basic solutions as well as the general solution, find a power series solution in powers of x of the following differential equation:
y" - 4xy' + (4x^2 - 2)y = 0
2. Originally Posted by Hollysti
The problem says:
Identifying the basic solut... | 2017-02-24 11:04:25 | {"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... |
http://www.drumtom.com/q/find-the-points-of-any-horizontal-tangent-lines-of-x-2-xy-y-2-6 | Find the points of any horizontal tangent lines of x^2+xy+y^2=6?
• Find the points of any horizontal tangent lines of x^2+xy+y^2=6?
Such tangent lines would be horizontal so ... How can I find the slope of the tangent line at each point of ... $x=2$ and find the tangent line?
Positive: 23 %
... of any horizontal tang... | 2017-01-20 10:05:47 | {"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": 2, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://socratic.org/questions/how-do-you-solve-2h-8-h-17 | # How do you solve 2h - 8 = h + 17 ?
$h = 25$
$2 h \textcolor{red}{- h} - 8 \textcolor{b l u e}{+ 8} = h \textcolor{red}{- h} + 17 \textcolor{b l u e}{+ 8}$
$h = 25$ | 2022-10-04 23:34:41 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 3, "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.r-bloggers.com/2011/01/example-8-20-referencing-lists-of-variables-part-2/ | Want to share your content on R-bloggers? click here if you have a blog, or here if you don't.
In Example 8.19, we discussed how to refer to a group of variables with sequential names, such as varname1, varname2, varname3. This is trivial in SAS and can be done in R as we showed.
It’s also sometimes useful to refer t... | 2021-07-28 01:22:15 | {"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://mathhelpforum.com/differential-equations/104268-help.html | 1. ## Help :(
Okay.. Can anyone explain me, how to solve this problem:
$y''+4y'+4=0$.. when $y(0)=2$ and $y'(0)=0$
2. Originally Posted by MissWonder
Okay.. Can anyone explain me, how to solve this problem:
$y''+4y'+4=0$.. when $y(0)=2 and y'(0)=0$
The Characteristic Equation is
$m^2 + 4m + 4 = 0$
$(m + 2)^2 = 0$... | 2017-03-30 19:32:22 | {"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": 0, "codecogs_latex": 17, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathhelpforum.com/algebra/147912-vectors-word-problem.html | 1. ## Vectors: Word Problem
Hi all,
I am currently studying for a first-year Math exam and am working through past exam questions. This one, however, has me totally perplexed (it's to do with planes and vectors and what-not):
A coordinate system is positioned so that the x-axis points North, the y-axis points West a... | 2016-08-27 05:31:10 | {"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": 0, "img_math": 0, "codecogs_latex": 7, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://forums.qhimm.com/index.php?PHPSESSID=ieeqv4nibdoesafu4gcm3o9v50&action=printpage;topic=11944.0 | # Qhimm.com Forums
## Final Fantasy Forums => Tools => FF7 Tools => Topic started by: luksy on 2011-06-07 13:40:05
Title: [PC] Text editor - touphScript (v1.3.0)
Post by: luksy on 2011-06-07 13:40:05
(https://www.dropbox.com/s/v6ugt99lt451h5f/ts.png)
touphScript allows you to edit FFVII text using simple text files,... | 2019-01-17 21:58:53 | {"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": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://codereview.stackexchange.com/questions/37637/make-this-mysql-query-more-elegant-or-efficient/37657#37657 | # Make this MySQL query more elegant &/or efficient
I have created a MySQL query that works, but I feel there must be a better way. The query will be used by a PHP script whose purpose is to assign conditions & subconditions to new participants in an online experiment based on how many times each combination of condit... | 2021-09-27 13:28:53 | {"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": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://prepmart.in/subjects.php?subject=c2NpZW5jZQ | ## Subject Wise MCQs JKSSB
###### 1. CNG is a fuel gas which is mainly composed of methane that is used for vehicles in general. Here CNG stands for
A
Complex nitrous gas
B
certified national gas
C
compressed natural gas
D
coal and nucleotide gas
Chemistry JKP SI 2022 Report Question
Explanation :
compressed... | 2022-12-01 14:14:19 | {"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": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://www.probabilityformula.org/uniform-distribution/uniform-distribution-examples.html | Uniform Distribution Examples
Uniform distribution is an important part of statistics or we can say it is the simplest statistical distribution. Although there is hardly any variable that follows a uniform probability distribution. Uniform distribution is a type of probability distribution which has all outcomes equal... | 2017-01-18 16:06:05 | {"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": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://ask.sagemath.org/question/59533/differentiate-vector-field-wrt-a-variable-not-defining-the-chart/?sort=votes | # Differentiate vector field w.r.t a variable not defining the chart
I define a 3+1-dimensional manifold M:
n = 3
M = Manifold(1+n, 'M', structure='Lorentzian')
and a chart X with spherical coordinates t, r, th and ph.
X.<t,r,th,ph> = M.chart('t r:(0,+oo) th:(0,pi) ph:(0,2*pi)')
I define the following symbolic f... | 2023-03-24 00:15:53 | {"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": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://possiblywrong.wordpress.com/2019/06/17/how-to-tell-time-using-gps-and-the-recent-collins-glitch/ | ## How to tell time using GPS, and the recent Collins glitch
Introduction
Last week on Sunday 9 June, hundreds of airplanes experienced a failure mode with some variants of the Collins Aerospace GPS-4000S sensor, grounding many business jets and even causing some delays among regional airlines.
Following is the init... | 2019-10-15 16:48:24 | {"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": 7, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://mathematica.stackexchange.com/questions/48004/problems-with-for-statement | # Problems with For statement
I'm trying to iterate some expression through for loop:
a = 0; b = 0.1; ϵ = 0.01; Ns = 100;
lhr[t_] := Normal[Series[-k7 x[t] y[t] /. Nsol /. initConst, {t, 0, Ns}]][[1]]; lhr[t]
rhr1[t_] := Normal[Series[-k7 x[t] y[t] /. Nsol /. initConst, {t, 0, Ns}]][[1]]; rhr1[t]
h = 0.01
For[t = a,... | 2019-12-12 03:10:48 | {"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": 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/549008d0581e2a6c68b84342 | # Question #84342
Dec 16, 2014
SInce $H C l$ is a strong acid and $B a {\left(O H\right)}_{2}$ is a strong base, you are dealing with a neutralization reaction.
Let's start by writing the balanced chemical equation
$2 H C {l}_{\left(a q\right)} + B a {\left(O H\right)}_{2 \left(a q\right)} \to B a C {l}_{2} \left(a... | 2019-09-21 17:13:07 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 20, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://stats.libretexts.org/Textbook_Maps/General_Statistics/Map%3A_Introductory_Statistics_(Shafer_and_Zhang)/10%3A_Correlation_and_Regression/10.4_The_Least_Squares_Regression_Line | # 10.4 The Least Squares Regression Line
Skills to Develop
• To learn how to measure how well a straight line fits a collection of data.
• To learn how to construct the least squares regression line, the straight line that best fits a collection of data.
• To learn the meaning of the slope of the least squares regres... | 2017-07-23 02:44:38 | {"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://mathhelpforum.com/trigonometry/33019-right-triangle-trig-print.html | # Right Triangle Trig. ?
Printable View
• Apr 2nd 2008, 05:43 PM
>_<SHY_GUY>_<
Right Triangle Trig. ?
i dont know how to do these that involve using trig identities to transform one side to the other...
1. (1+ cos [theta]) (1-cos [theta]) = sin^2 [theta].
2. sin [theta]/ cos [theta] + cos [theta]/ sin [theta] =csc [... | 2017-05-25 11:06:16 | {"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": 24, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://ieeexplore.ieee.org/xpl/tocresult.jsp?reload=true&isnumber=23017 | # IEEE Journal of Quantum Electronics
## Issue 12 Part 1 • December 1981
This issue contains several parts.Go to: Part 2
## Filter Results
Displaying Results 1 - 19 of 19
Publication Year: 1981, Page(s): 0
| |PDF (763 KB)
• ### Rectangular metallic waveguide resonator performance evaluation at near-millimeter wa... | 2018-02-18 01:49:36 | {"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": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.numerade.com/questions/show-that-the-equation-has-exactly-one-real-root-x3-ex-0/ | 💬 👋 We’re always here. Join our Discord to connect with other students 24/7, any time, night or day.Join Here!
# Show that the equation has exactly one real root.$x^3 + e^x = 0$
## SEE SOLUTION
Derivatives
Differentiation
Volume
### Discussion
You must be signed in to discuss.
##### Heather Z.
Oregon State Un... | 2021-10-19 16:07:42 | {"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.numdam.org/item/RCP25_1975__22__A8_0/ | Renormalizable Models with Broken Symmetries
Les rencontres physiciens-mathématiciens de Strasbourg -RCP25, Tome 22 (1975), Exposé no. 8, 50 p.
@article{RCP25_1975__22__A8_0,
author = {Lowenstein, J. H. and Rouet, A. and Stora, R. and Zimmermann, W.},
title = {Renormalizable {Models} with {Broken} {Symmetries}},
journa... | 2022-07-01 23:06:03 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 8, "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://encyclopedia.kids.net.au/page/ex/Exponential_distribution | ## Encyclopedia > Exponential distribution
Article Content
# Exponential distribution
In probability theory and statistics, the exponential distribution is a continuous probability distribution with the probability density function
$f(x) = \left\{\begin{matrix} \lambda e^{-\lambda x} &,\; x \ge 0 \\ 0 &,\; x < 0 \e... | 2021-09-29 03:06:07 | {"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://yuvalfilmus.cs.technion.ac.il/publications/papers/?id=687 | # PublicationsPapers
## The carromboard problem
Yuval Filmus
Manuscript
Snepscheut came up with the following puzzle. There is a table with four coins at the center of the four sides. The goal is to get all of the coins in the same orientation, that is, all heads or all tails. You never get to see the coins (you are... | 2021-09-19 14:54:06 | {"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... |
http://www.physicsforums.com/showthread.php?s=c5405532bc1ab6c4a921831a90472710&p=4245024 | ## Development of Bernoulli's equation
My book says:
$\frac{\partial V}{\partial s}\frac{ds}{dt}=-\frac{1}{\rho}\frac{dP}{ds}-g\frac{dz}{ds}$ (1.28)
The changes of pressure as a function of time cannot accelerate a fluid particle. This is because the same pressure would be acting at every instant on all sides of the... | 2013-05-22 21:19:10 | {"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": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://docs.h2o.ai/h2o/latest-stable/h2o-docs/data-science/algo-params/missing_values_handling.html | # missing_values_handling¶
• Available in: Deep Learning, GLM, GAM
• Hyperparameter: yes
## Description¶
This option is used to specify the way that the algorithm will treat missing values. In H2O, the Deep Learning and GLM algorithms will either skip or mean-impute rows with NA values. The GLM algorithm can also u... | 2020-04-07 21:10:57 | {"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": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.physicsforums.com/threads/cartesian-unit-vectors-expressed-by-cylindrical-unit-vectors.773839/ | # Cartesian unit vectors expressed by Cylindrical unit vectors
1. Oct 1, 2014
### chenrim
please someone explain me the following expression for Cartesian unit vectors expressed by the cylindrical unit vectors:
http://web.mit.edu/8.02t/www/materials/modules/ReviewB.pdf
at page B-8 line B.2.4
i would like to know w... | 2017-09-25 22:19:38 | {"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": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.r-bloggers.com/2013/04/calculate-fantasy-players-risk-levels-using-r-2/ | [This article was first published on Fantasy Football Analytics » R | Fantasy Football Analytics, and kindly contributed to R-bloggers]. (You can report issue about the content on this page here)
Want to share your content on R-bloggers? click here if you have a blog, or here if you don't.
In prior posts, I have demon... | 2021-12-06 00:13:10 | {"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": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.physicsforums.com/threads/countably-infinite-sets.362187/ | # Countably infinite sets
#### zeebo17
Hi,
I was wondering if two sets are disjoint countably infinite sets why is their Cartesian product also countably infinite?
Thanks!
#### farful
You can order your two sets a_1,a_2,a_3,.... and b_1,b_2,b_3 mapping them onto the set of natural numbers.
Then, you can form a t... | 2019-03-25 19:56:55 | {"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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://pkgs.rstudio.com/rmarkdown/reference/beamer_presentation.html | Format for converting from R Markdown to a Beamer presentation.
beamer_presentation(
toc = FALSE,
slide_level = NULL,
number_sections = FALSE,
incremental = FALSE,
fig_width = 10,
fig_height = 7,
fig_crop = "auto",
fig_caption = TRUE,
dev = "pdf",
df_print = "default",
theme = "default",
colortheme = "default",
fontth... | 2022-12-10 01:00:36 | {"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": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://math.stackexchange.com/questions/1683252/eigenvectors-of-diagonally-dominant-matrices | Eigenvectors of Diagonally Dominant Matrices
Given a diagonally dominant positive semi definite matrix $A \in R^{n\times n}$, with eigen decomposition $A = U\Sigma U^T$, can we say anything about the form of $U$.
For example, to sample uniformly from the space of matrices with eigenvalues as the diagonal elements of ... | 2019-10-15 08:23:01 | {"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... |
https://math.stackexchange.com/questions/991194/cyclic-hexagon-circumradius | A cyclic hexagon has side lengths of 2, 2, 7, 7, 11, 11, in that order. Find the length of its circumradius.
Not sure if there is a theorem or formula for this, but I tried dividing it into 30°, 60°, 90° triangles. Is that a possible way to approach the problem? If there is a theorem that can be used for this I would ... | 2020-07-09 11:58:40 | {"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": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://trac-hacks.org/ticket/8341 | Opened 12 years ago
Closed 11 years ago
SVN post commit hook MERGE message reported
Reported by: Owned by: Anders Hedberg Russ Tyndall normal TimingAndEstimationPlugin normal 0.12
Description
When using the latest 0.12 version of the trac-post-commit-hook I got a strange MERGE message back on checkin to subversion... | 2022-06-28 05:23:46 | {"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": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://docs.itascacg.com/3dec700/flac3d/zone/doc/manual/zone_manual/zone_commands/cmd_zone.property-distribution.html | # zone property-distribution command
Syntax
zone property-distribution <[property] fvalue > keyword ... <range>
Primary keywords:
Modify a zone constitutive model property. The property should accept a value of type float. While technically any valid type can be used here, none of the distribution keywords will app... | 2022-06-30 16:38:20 | {"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.physicsforums.com/threads/double-exponents-question.678892/ | # Double Exponents Question
1. Mar 16, 2013
### notnottrue
Hi,
If all x,a,b and c are all natural numbers, is this true?
$x^{a^b} = (x^{a^{b-1}})^a$
Proof
if $c = a^{b-1}$
$ca = (a^{b-1})a = a^b$
and $(x^c)^a = x^{ca} = x^{a^b}$
Could I please have some feedback on this,
Thanks
2. Mar 16, 2013
### pwsnafu
There ... | 2018-01-17 15:13:56 | {"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.gradesaver.com/textbooks/math/precalculus/precalculus-6th-edition-blitzer/chapter-1-review-exercises-page-303/104 | ## Precalculus (6th Edition) Blitzer
The function $h\left( x \right)$ can be written as a composition of the functions $f\left( x \right)={{x}^{4}}\text{ and }g\left( x \right)={{x}^{2}}+2x-1$.
Consider the functions $f\left( x \right)={{x}^{4}}$ and $g\left( x \right)={{x}^{2}}+2x-1$. Then, \begin{align} & h\left( x ... | 2019-12-11 08:52:12 | {"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://mathhelpforum.com/pre-calculus/20871-profit.html | # Math Help - Profit
1. ## Profit
The profit from making and selling x units of a product is given by P(x)= .05x^6+16x-600 dollars. How many units should be produced and sold in order to make a profit of $2200? 2. P(x)= .05x^6+16x-600 -----?? 0.05x^6? I assume that should be P(x) = 0.05x^2 +16x -600 So if profit =$22... | 2016-07-23 16:33:39 | {"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": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.wptricks.com/question/how-do-i-add-a-div-class-to-the-posts-in-a-filter-and-not-the-entire-filter-element/ | ## How do I add a div class to the posts in a filter and not the entire filter element?
Question
I am having some troubles with the Isotope filter gallery, as discussed in my Stackoverflow question here.
As per the first point of the accepted answer, I need to add the class .isotope, to the parent (the .row element)... | 2022-09-24 17:37:09 | {"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.esaral.com/q/find-the-equation-11663/ | Find the equation
Question:
Find the equation of the tangent and the normal to the following curves at the indicated points:
$y^{2}=4 x$ at $(1,2)$
Solution:
Find the equation of the tangent and the normal to the following curves at the indicated points:
$2 y \frac{d y}{d x}=4$
$\frac{\mathrm{dy}}{\mathrm{dx}}=\f... | 2022-06-30 00:35:55 | {"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://www.physicsforums.com/threads/induction-over-the-rationals.394814/ | # Induction over the rationals?
1. Apr 12, 2010
### epkid08
Is there a variant form of induction to prove something about the rationals as opposed to just the natural numbers?
You could start by proving it for the open interval (0, 1) by showing that for an arbitrary integer m, m < n, $$P(\frac{m}{n}) \Rightarrow P... | 2018-12-12 09:23:13 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.physicsforums.com/threads/dirac-delta-to-the-fourth.667066/ | # Dirac delta to the fourth
1. Jan 26, 2013
### zn5252
hello,
Please attached snapshot. Does the integral 7.9 equal to 0.5 $\int$hμσ dzμ/dτ dzσ/dτdτ ?
I'm confused as to the fourth power of Dirac's Delta. Then where does the derivative on x go ?
For more on this, see MTW pg180
thanks
#### Attached Files:
• ###### ... | 2017-10-21 20:43:18 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.lmfdb.org/L/rational/4/98%5E2/1.1/c9e2-0 | Learn more
Results (9 matches)
Label $\alpha$ $A$ $d$ $N$ $\chi$ $\mu$ $\nu$ $w$ prim $\epsilon$ $r$ First zero Origin
4-98e2-1.1-c9e2-0-0 $7.10$ $2.54\times 10^{3}$ $4$ $2^{2} \cdot 7^{4}$ 1.1 $$9.0, 9.0 9 1 0 0.120361 Modular form 98.10.a.d 4-98e2-1.1-c9e2-0-1 7.10 2.54\times 10^{3} 4 2^{2} \cdot 7^{4} 1.1$$ $9.0, ... | 2022-05-17 01:02:16 | {"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.physicsforums.com/threads/what-is-up-with-spin.233365/ | # What is up with spin?
1. May 5, 2008
### atom888
I have a few questions with spin. Actually, quite a alot.
1)What I know is proton and electron have spin. What subatomic particle doesnt' have spin?
2)What is spin?
3)Are they a physical thing for particles?
4)How did scientist measure it?
5)What is up and down spi... | 2017-05-23 01:50:08 | {"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": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://computergraphics.stackexchange.com/questions/4709/energy-conservation-in-lighting-equation | # Energy Conservation in Lighting Equation
I am currently making a Ray-tracer as a personal project. My lighting equation looks like this
Pixel_color[i] = 255 * (Ma*Ig*Ca + Md*I*Cd * diffuse + Ms*I*Cs * glossy)
// M = material color (ambient, diffuse and specular)
// I = intensity of light (Ig is the global ambient ... | 2023-03-28 22:17:07 | {"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://jdc.math.uwo.ca/M1600a/1.2-66.html | # Math 1600 Section 1.2 Question 66
The answer is exercise 66 in section 1.2 is $\query{3}$ (click to reveal). | 2017-11-22 22:14:57 | {"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": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://math.stackexchange.com/questions/1397058/how-is-the-b-spline-definition-constructed | How is the B-Spline definition constructed?
I'm trying to understand how the B-Spline definition is constructed. That is, where did the knot vector and the basis functions and their recursive definition come from.
The definition can be seen here: http://web.cse.ohio-state.edu/~tamaldey/course/784/note5.pdf
There it'... | 2019-05-23 06:05:24 | {"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.physicsforums.com/threads/distance-displacement.80316/ | # Distance < Displacement
1. Jun 25, 2005
### jacyh
Why is the distance never less than the displacement?
I can't seem to find a scientific explanation for it.
2. Jun 25, 2005
### howie222
think about travelling half way around a circle, the distance travelled would be half the circumference, and the displacement... | 2017-04-29 02:04:52 | {"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": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.physicsforums.com/threads/the-perfect-spot-between-the-earth-and-the-moon.804859/ | # The perfect spot between the Earth and the Moon
1. Mar 24, 2015
### Calpalned
1. The problem statement, all variables and given/known data
There exists a spaceship orbiting between the Moon and the Earth. Find the perfect spot where the gravity due to Earth is equal to the one caused by the Moon. I have already so... | 2018-03-21 13:28:02 | {"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://gtts.ehu.es/TWiki/bin/view/TWiki/LatexModePlugin?rev=2&amp=&amp=&amp=&sortcol=1;table=3;up=1 | r2 - 08 Mar 2007 - 18:03:27 - MikelPenagarikanoYou are here: TWiki > TWiki Web > LatexModePlugin
# LatexModePlugin
This LaTeX Mode TWiki Plugin allows you to include LaTeX mark up commands within a TWiki page. It uses external programs (specifically latex, dvipng or dvips-and-convert, or mimetex) to generate png or... | 2020-09-22 14:19:47 | {"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": 2, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://kathylight.com/3tyvfh/55d69e-convergence-in-mean | ## convergence in mean
convergence of the sample mean to µ. everywhere to indicate almost sure convergence. This condition causes one eye to turn outward instead of inward with the other eye creating double or blurred vision.Convergence insufficiency is usually diagnosed in school-age children and adolescents. It esse... | 2021-06-13 02:45:17 | {"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": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://tex.stackexchange.com/questions/36233/format-a-tutorial-with-screenshots-in-latex/36236 | # Format a tutorial with screenshots in LaTeX
I want to format a step-by-step tutorial in LaTeX in a way that each step shows one screenshot and a small piece of text for that step. I could think of a formatting where in each step the screenshot is positioned on the left and the text is on the right. However, if I use... | 2015-11-30 02:45:55 | {"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": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://mathematics.huji.ac.il/eventss/events-seminars?page=36 | 2018 Nov 21
# Analysis Seminar: Asaf Shachar (HUJI) "Regularity via minors and applications to conformal maps"
12:00pm to 1:00pm
## Location:
Room 70, Ross Building
Title:
Regularity via minors and applications to conformal maps.
Abstract:
Let f:\mathbb{R}^n \to \mathbb{R}^n be a Sobolev map; Suppose that the k-min... | 2020-07-10 11:10:29 | {"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": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://itprospt.com/num/583/orbital-notation-for-p | 5
Orbital notation for P...
Question
Orbital notation for P
Orbital notation for P
Answers
Similar Solved Questions
5 answers
Aboxof mass pressed against (but Is not attached to) an ideal sprIng = force constant negligible mass, compressing the distance After It Is released, the box slides up frictionless Inclin... | 2023-02-02 21:27:25 | {"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://dmenne.github.io/gastempt/ | Dieter Menne
Menne Biomed Consulting Tübingen, Germany
http://www.menne-biomed.de
A package and a Shiny web application to create simulated gastric emptying data, and to analyze gastric emptying from clinical studies using a population fit with R and package nlme. In addition,Bayesian fits with Stan to handle critical... | 2020-08-13 05:27:15 | {"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://plainmath.net/2599/teachers-rewarding-satisfying-article-presents-results-primary-teachers | # Do teachers find their work rewarding and satisfying? The article presents the results of a survey of 399 primary school teachers and 264 senior teach
Do teachers find their work rewarding and satisfying? The article presents the results of a survey of 399 primary school teachers and 264 senior teachers. Of the elem... | 2022-06-28 03:21:02 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 42, "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://byjus.com/free-ias-prep/upsc-exam-comprehensive-news-analysis-may10-2022/ | # 10 May 2022: UPSC Exam Comprehensive News Analysis
CNA 10 May 2022:-
A. GS 1 Related
B. GS 2 Related
C. GS 3 Related
SCIENCE AND TECHNOLOGY
1. The search algorithm in action
D. GS 4 Related
E. Editorials
ECONOMY
1. Powering up after the power crisis shock
INTERNATIONAL RELATIONS
1. A dissonance in India-German ties... | 2022-06-26 19:52:20 | {"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.n0b0dy0fn0te.com/2021/07/passport%20to%20pimlico.html | .post-body { line-height:100%; } -->
Monday, 26 July 2021
Passport to Pimlico... (other districts also have nightclubs)
Warning: The following article contains opinions.
This weekend saw a moot of loons in Trafalgar Square, coming together in a sort of loose conglomerate of wacky witlessness. In a wonderful mirror ... | 2023-03-21 07:06:37 | {"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://bib-pubdb1.desy.de/collection/PUB_FS-CFEL-3-20120731?ln=en | # FS-CFEL-3
2018-02-1510:53 [PUBDB-2018-01193] Journal Article et al A Chemical Understanding of the Limited Site-Specificity in Molecular Inner-Shell Photofragmentation Restricted: PDF; 2018-02-0712:01 [PUBDB-2018-01104] Journal Article et al Challenges in XUV Photochemistry Simulations: A Case Study on Ultrafast ... | 2018-02-25 15:53:42 | {"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.sparrho.com/item/the-exact-curve-equation-for-majorana-stars/1a29420/ | # The Exact Curve Equation for Majorana Stars.
Research paper by Fei F Yao, Dechao D Li, Haodi H Liu, Libin L Fu, Xiaoguang X Wang
Indexed on: 16 Nov '17Published on: 16 Nov '17Published in: Scientific Reports
#### Abstract
Majorana stars are visual representation for a quantum pure state. For some states, the corr... | 2020-11-30 07:25:12 | {"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.physicsforums.com/threads/length-of-a-curve.546127/ | # Length of a curve
## Homework Statement
Find the length of the curve.
x=cos(2t)
y=sin(3t)
0≤t≤2∏
I know the length is just the integral from 0 to 2∏of the magnitude of the velocity.
## The Attempt at a Solution
x'=-2sin(2t) x'^2=4sin^2(2t)
y'=3cos(3t) y'^2=9cos^2(3t)
c=∫√4sin^2(2t)+9cos^2(3t)
Im having troubl... | 2020-04-06 15:52:41 | {"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": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://studyqas.com/simon-invested-20-000-at-a-compound-interest-rate-of-2-5/ | # Simon invested £20 000 at a compound interest rate of 2.5% per annum. At the end of n years the investment has a value
Simon invested £20 000 at a compound interest rate of 2.5% per annum. At the end of n years the investment has a value of £V. Work out the value of V when n=2
## This Post Has 10 Comments
1. cupca... | 2023-03-31 18:23:14 | {"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://openstudy.com/updates/55a267e3e4b0564dd2d84a5d | anonymous one year ago how to simplify a radical? (16/9)^3/2
the exponent is a fraction, with a numerator and denominator the denominator indicated the root, so first take the square root of $$\frac{16}{9}$$ the numerator is the power, so after you take the square root of $$\frac{16}{9}$$ cube the result | 2017-01-22 02:14:50 | {"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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://mathoverflow.net/questions/267196/cochain-homotopy-of-dg-algebras-a-infty-algebras-and-other-notion-of-ho | # (co)chain homotopy of dg algebras ($A_{\infty}$ algebras) and other notion of homotopy
In this question I will work over a field of char. $0$. Let $f,g\: : \: A\to B$ be dg algebras morphism between two cochain (commutative) dg algebras $A,B$ (assume positively graded). Let $h$ be a cochain homotopy between f and g,... | 2019-05-22 02:11:07 | {"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://math.stackexchange.com/questions/106513/finite-cyclic-groups/106521 | # Finite cyclic groups
According to the theorem that a finite cyclic subgroup $G=\langle g \rangle$, there exsits a smallest positive integer $n$ such that $g^n=1$, and we have $G=\{1,g,g^2,...,g^{n-1}\}$ where $1,g,...,g^{n-1}$ are all distinct. I am just wondering why those powers couldn't be negtive? Is it because ... | 2013-05-25 04:56:58 | {"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://jimmyjhickey.com/Deep-Learning-With-R-Ch4 | ## Notes on Deep Learning with R Chapter 4
Chapter 4 - Fundamentals of Machine Learning
These are my notes on Chapter 4 of Deep Learning with R by Chollet and Allaire.
# Four Branches of Machine Learning
## Supervised Learning
This consists of learning to map input data to known targets given a set of examples. Al... | 2021-05-06 03:35:14 | {"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://jeeneetqna.in/62/rocket-fuel-burns-rate-fuel-ejected-from-rocket-with-velocity | # In a rocket, fuel burns at the rate of 1 kg/s. This fuel is ejected from the rocket with a velocity of 60 km/s.
more_vert
In a rocket, fuel burns at the rate of 1 kg/s. This fuel is ejected from the rocket with a velocity of 60 km/s. This exerts a force on the rocket equal to
(a) 6000 N
(C) 60 N
(6) 60000 N
(d) ... | 2021-05-14 17:14:41 | {"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://math.stackexchange.com/questions/692017/find-the-projection-on-the-plane-and-parallel-to-the-line | # Find the projection on the plane and parallel to the line
I have a plane, $\Pi$, a line, $D$, and a basis, $C$:
$$\Pi : x + 2y + 2z = 0\\ D : \begin{cases} x = t \\ y = 2t \\ z = 4t \\ \end{cases},\;\; t \in \mathbb{R}\\ C = (\vec{i}, \vec{j}, \vec{k})$$
There's also $T$, which is defined as "the projection on the... | 2022-08-17 04:17:30 | {"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://guitarknights.com/guitar-gear-guitar-sizes.html | An open tuning allows a chord to be played by strumming the strings when "open", or while fretting no strings. The base chord consists of at least three notes and may include all the strings or a subset. The tuning is named for the base chord when played open, typically a major triad, and each major-triad can be played... | 2019-06-16 21:00:16 | {"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://stats.stackexchange.com/questions/179460/finding-the-confidence-level | Finding the confidence level
The following question is on a study guide for a test:
A candidate who is running for Student Body President wants to know if more Juniors vote than Seniors. The hope is to interpret this information to know who to campaign towards.
The student body candidate wants to know the answer to ... | 2020-11-27 08:56:53 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 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://socratic.org/questions/how-do-you-simplify-9-x-2-3-x-1-1#174141 | How do you simplify (9 - x^(-2))/(3 + x^(-1))?
Oct 4, 2015
$3 - \frac{1}{x}$
Explanation:
Since
$\textcolor{w h i t e}{\text{XXX} \textcolor{red}{} 9 - \frac{1}{x} ^ \left(- 2\right)}$
$\textcolor{w h i t e}{\text{XXXXXX}} = \textcolor{red}{9 - \frac{1}{{x}^{2}}}$
$\textcolor{w h i t e}{\text{XXXXXX}} = \textcolor... | 2022-01-22 21:01:14 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 14, "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://mathshistory.st-andrews.ac.uk/Biographies/Torricelli/ | Evangelista Torricelli
Quick Info
Born
15 October 1608
Faenza, Romagna (now Italy)
Died
25 October 1647
Florence, Tuscany (now Italy)
Summary
Evangelista Torricelli was an Italian scientist who was the first man to create a sustained vacuum and to discover the principle of a barometer. He also achieved some importan... | 2022-05-26 01:57:02 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 2, "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://www.proofwiki.org/wiki/Union_of_Family/Examples/Size_of_y-1_lt_n_and_Size_of_y%2B1_gt_1_over_n | # Union of Family/Examples/Size of y-1 lt n and Size of y+1 gt 1 over n
## Example of Union of Family
Let $I$ be the indexing set $I = \set {1, 2, 3, \ldots}$
Let $\family {T_n}$ be the indexed family of subsets of the set of real numbers $\R$, defined as:
$T_n = \set {y: \size {y - 1} < n \land \size {y + 1} > \df... | 2022-08-15 16:45:19 | {"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": 2, "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/laplace-transform-of-a-taylor-series-expansion.323629/ | # Laplace transform of a Taylor series expansion
Homework Helper
Gold Member
I'm reading a paper on tissue cell rheology ("Viscoelasticity of the human red blood cell") that models the creep compliance of the cell (in the s-domain) as
$$J(s) = \frac{1}{As+Bs^{a+1}}$$
where $0\leq a\leq 1$. Since there's no closed-fo... | 2021-01-25 20:21:03 | {"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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://9to5answer.com/matlab-operator-a-b | # Matlab, operator A\B
13,615
## Solution 1
My MATLAB (R2010b) says quite a lot about what A\B does:
mldivide(A,B) and the equivalent A\B perform matrix left division (back slash). A and B must be matrices that have the same number of rows, unless A is a scalar, in which case A\B performs element-wise division — th... | 2022-09-29 02:33:29 | {"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": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://cstheory.stackexchange.com/questions/37414/sos-and-the-small-set-expansion-property | SOS and the small set expansion property
For what graphs do we know that their small set expansion property has a low degree SOS proof? Is this known to be true for say the complete graphs?
A terminology issue about what is low degree" :
Around page 13 here, http://www.boazbarak.org/sos/files/lec2d.pdf, when this wa... | 2020-07-10 22:09:03 | {"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": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://math.stackexchange.com/questions/939427/premeasure-and-induced-outer-measure | Premeasure and induced outer measure
Let $A \subset P(X)$ be an algebra, $A_\sigma$ the collection of countable unions of sets in $A$, and $A_{\sigma \delta}$ the collection of countable intersections of sets in $A_\sigma$. Let $\mu_0$ be a premeasure on $A$ and $\mu ^*$ the induced outer measure. Show that if $\mu^*(... | 2019-10-17 05:46:27 | {"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... |
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A student in a maths class was trying... | 2017-04-26 12:05:01 | {"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... |