url string | text string | date timestamp[s] | metadata string |
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https://cs.stackexchange.com/questions/56748/on-intersection-of-classes | # On intersection of classes [closed]
Consider classes $\mathcal C_1$ and $\mathcal C_2$ of problems both of which are $\mathsf{NP}$-complete. Does it mean $\mathcal C_1\cap\mathcal C_2$ of problems is $\mathsf{NP}$-complete?
## closed as unclear what you're asking by D.W.♦Apr 29 '16 at 3:11
Please clarify your spec... | 2019-11-19T02:59:23 | {"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": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://www.varsitytutors.com/gre_subject_test_math-help/axioms-of-probability | GRE Subject Test: Math : Axioms of Probability
Example Questions
Example Question #1 : Probability
A student has 14 piece of gum, 3 are spearmint, 5 are peppermint, and the rest are cinnamon. If one piece of gum is chosen at random, which of the following is NOT true.
The probability of not picking a cinnamon is .
... | 2016-10-21T23:55:56 | {"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... |
https://puzzling.stackexchange.com/questions/100478/a-simple-password-puzzle-or-maybe-not | # A Simple Password Puzzle. Or Maybe Not
## Prologue:
It's me, KryptonOmega, back with a password puzzle. Enjoy!
## Edits:
1. Add "unique" in condition 2 for clarification.
2. Length of answer is five. (Why would you expect more when there are five underscores only???)
• Welcome back! :D – Jafe Jul 27 '20 at 10:3... | 2021-07-27T09:26:35 | {"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://brilliant.org/problems/a-rather-normal-question/ | # A rather normal question
Calculus Level 4
Let $$P$$ be a point (other than the origin) on the curve $$y = x^{4}$$. Let $$Q$$ be the point where the normal line to the given curve at $$P$$ intersects the $$x$$-axis.
With point $$O$$ being the origin, form the triangle $$OPQ$$. Over all such triangles, what is the m... | 2017-10-20T23:48:48 | {"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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://tex.stackexchange.com/questions/460171/combining-itemize-and-aligned-first-line-to-the-left-and-remaining-lines-to-the | Combining itemize and aligned: first line to the left and remaining lines to the right
Does any know how I can combine itemize and aligned (with argument [t]) -- or another multi-line mathematical environment -- in order to obtain a multi-line equation whose first line is aligned to the left and the remaining lines ar... | 2019-06-19T11:59:50 | {"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": 1, "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/the-base-of-an-isosceles-triangle-measures-80-cm-and-its-area-is-360-cm2-78998/ | The base of an isosceles triangle measures 80 cm and its area is 360 cm2.
Question:
The base of an isosceles triangle measures 80 cm and its area is 360 cm2. Find the perimeter of the triangle.
Solution:
Let $\triangle P Q R$ be an isosceles triangle and $P X \perp Q R$.
Now,
Area of triangle $=360 \mathrm{~cm}^{2... | 2022-09-27T10:58:51 | {"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": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://old.fieldtriptoolbox.org/tutorial/fourier?bootswatch-theme=flatly | # Fourier analysis of neuronal oscillations and synchronization
EEG and MEG measure brain activity as a so called time series, i.e. they measure voltage of field strength as a function of time. In those time series, there are often clearly visible oscillations like the alpha oscillations over occipital cortex or the b... | 2023-03-31T06:24:03 | {"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://hsm.stackexchange.com/questions/2553/where-did-p-vi-come-from | # Where did $P=VI$ come from?
Where did the basic physics law $P=VI$ come from? Here, $P$ is power, $V$ is voltage and $I$ is current. It doesn't have a name like Ohm's law, as far as I could find. So where did it originally come from, who invented it and when? Or what are early references for it?
• Could you hint wh... | 2019-11-13T17:16:49 | {"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.deepdyve.com/lp/springer_journal/preparing-entangled-states-by-lyapunov-control-Xrdb1Pwxb0 | # Preparing entangled states by Lyapunov control
Preparing entangled states by Lyapunov control By Lyapunov control, we present a protocol to prepare entangled states such as Bell states in the context of cavity QED system. The advantage of our method is of threefold. Firstly, we can only control the phase of classica... | 2018-10-23T08:18:13 | {"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": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://indico.cern.ch/event/478090/contributions/2136827/ | # Siam Physics Congress 2016
8-10 June 2016
Asia/Bangkok timezone
## Effects of Nitrogen Carrier Gas on MOVPE Growth of GaAsN Films
Not scheduled
15m
Poster presentation Surface, Interface and Thin Films
### Speaker
Mr Teerapat Lapsirivatkul (Chulalongkorn University)
### Description
Metal organic vapor phase ep... | 2021-08-04T19:36:01 | {"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": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://mymusing.co/matrix-chain-multiplication/ | Dynamic programming, like the divide-and-conquer method, solves problems by combining the solutions to subproblems. Divide-and-conquer algorithms partition the problem into independent subproblems, solve the subproblems recursively, and then combine their solutions to solve the original problem. In contrast, dynamic pr... | 2022-11-30T20:48:23 | {"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://coertvonk.com/category/math/pre-calc | Proofs Euler's formula using the MacLaurin series for sine and cosine. Introduces Euler's identify and Cartesian and Polar coordinates.
Describes Oliver Heaviside's method to decompose rational functions of polynomials as they occur when using the Laplace or Z-transforms.
Introduces complex numbers in an intuitive way,... | 2022-12-03T08:08:09 | {"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://clay6.com/qa/52114/if-the-density-of-some-lake-water-is-1-25g-ml-and-contains-92-g-of-na-ions- | Browse Questions
# If the density of some lake water is $1.25g mL^{–1}$ and contains 92 g of $Na^+$ ions per kg of water, calculate the molality of $Na^+$ ions in the lake.
$\begin{array}{1 1}4m\\5m\\6m\\7m\end{array}$
Number of molality = $\large\frac{\text{Mole of }Na^+\text{ ions}}{\text{Mass of water(kg)}}$
92g ... | 2017-01-20T16:06:32 | {"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://dsp.stackexchange.com/questions/74434/the-plot-of-instantaneous-power-of-the-dirac-function | # The plot of instantaneous power of the Dirac function
I am very confused. I have tried researching this question for the last two weeks and I cannot get a conclusive answer.
I was wondering how would I go about plotting the instantaneous power in the time domain of the Dirac input signal. The problem becomes as I t... | 2021-09-21T19:52:51 | {"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": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://golem.ph.utexas.edu/category/2008/08/bergman_on_infinityvector_bund.html | August 17, 2008
Bergman on Infinity-Vector Bundles Coupled to Topological Strings
Posted by Urs Schreiber
As Aaron Bergman kindly pointed out here, he has an interesting article
Aaron Bergman
New Boundaries for the B-Model
arXiv:0808.0168
which gives a direct interpretation of the derived categories of coherent sh... | 2014-09-02T18:52:49 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 10, "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://cracku.in/13-for-a-sequence-of-real-numbers-x_1x_2x_n-if-x_1-x_-x-cat-2021-slot-2-quant | Question 13
# For a sequence of real numbers $$x_{1},x_{2},...x_{n}$$, If $$x_{1}-x_{2}+x_{3}-....+(-1)^{n+1}x_{n}=n^{2}+2n$$ for all natural numbers n, then the sum $$x_{49}+x_{50}$$ equals
Solution
Now as per the given series :
we get $$x_1=1+2\ =3$$
Now $$x_1-x_2=\ 8$$
so$$x_2=-5$$
Now $$x_1-x_2+x_3\ =\ 15$$
so $... | 2022-08-13T10:08:57 | {"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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.aimsciences.org/article/doi/10.3934/naco.2022013 | # American Institute of Mathematical Sciences
doi: 10.3934/naco.2022013
Online First
Online First articles are published articles within a journal that have not yet been assigned to a formal issue. This means they do not yet have a volume number, issue number, or page numbers assigned to them, however, they can still... | 2022-08-16T01:32:36 | {"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://planetmath.org/vertlangleTvvranglevertleqmuVertVVert2ForAllVImpliesVertTVertleqmu | $\delimiter"026A30C\delimiter"426830ATv,v\delimiter"526930B\delimiter"026A30C% \leq{\mu}\delimiter"026B30Dv\delimiter"026B30D^{2}$ for all $v$ implies $\delimiter"026B30DT\delimiter"026B30D\leq{\mu}$
Theorem.
Let $H$ be a unitary space, $T$ be a self-adjoint linear operator and $\mu\geq 0$. If $|\left\langle Tv,v\rig... | 2023-01-29T15:33:05 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 26, "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://clay6.com/qa/37717/in-a-class-of-50-students-15-are-girls-5-of-the-girls-and-large-frac-of-the | Browse Questions
Home >> AIMS
# In a class of 50 students,15 are girls,5 of the girls and $\large\frac{2}{7}$ of the boys were chosen to represent their class in a game.The total number of students chosen is
$\begin{array}{1 1}(A)\;12&(B)\;15\\(C)\;19&(D)\;25\end{array}$
The total number of students chosen is 15
H... | 2017-03-27T04:39:21 | {"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": 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/Noise-sensitivity-of-second-top-eigenvectors-of-and-Lee/74d61cdd6a269eb29526bdf53d7dbf2ff37c97d9 | Corpus ID: 210156949
# Noise sensitivity of second-top eigenvectors of Erd\H{o}s-R\'{e}nyi graphs and sparse matrices
@article{Lee2020NoiseSO,
title={Noise sensitivity of second-top eigenvectors of Erd\H\{o\}s-R\'\{e\}nyi graphs and sparse matrices},
author={Jaehun Lee},
journal={arXiv: Probability},
year={2020}
}
• ... | 2021-10-21T12:08:23 | {"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": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mymathforum.com/algebra/11641-mathematic-induction.html | My Math Forum mathematic induction
Algebra Pre-Algebra and Basic Algebra Math Forum
March 7th, 2010, 03:44 AM #1 Newbie Joined: Mar 2010 Posts: 2 Thanks: 0 mathematic induction Hello, I don't know how to continue: Prove by mathematical induction that http://img230.imageshack.us/img230/6089/46951789.png is divisib... | 2019-04-21T16:30:33 | {"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": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 1, "/images/mat... |
https://www.physicsforums.com/threads/pauli-hamiltonian.278960/ | # Homework Help: Pauli Hamiltonian
1. Dec 11, 2008
### diegzumillo
1. The problem statement, all variables and given/known data
The Hamiltonian of an electron with mass m, electric charge q and spin
of $$\frac{\hbar }{2}\vec{\sigma}$$ in a magnetic field described by the
potential vector $$\vec{A}\left( \vec{r},t\ri... | 2018-11-14T19:53:46 | {"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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://gmatclub.com/forum/kay-began-a-certain-game-with-x-chips-on-each-of-the-next-145373.html?sort_by_oldest=true | Kay began a certain game with x chips. On each of the next : GMAT Problem Solving (PS)
Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack
It is currently 18 Jan 2017, 17:05
### GMAT Club Daily Prep
#### Thank you for using the timer - this advanced tool can estimat... | 2017-01-19T01:05:23 | {"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": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://tex.stackexchange.com/questions/419017/operator-font-with-newtx | # Operator font with newtx
I am using \usepackage{newtxmath,newtxtext}. But, \operatorname{} seems to use another font.
How to set up accordingly?
• \usepackage{newtxtext,newtxmath} – egreg Mar 7 '18 at 23:51
• @egreg, ohhh I never imagined that the order could be a solution. Simpler than this, impossible. – Sigur M... | 2020-01-24T16:34:10 | {"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... |
https://math.stackexchange.com/questions/2452040/why-the-expansion-of-functions-of-2-variables-in-legendre-polynomials-does-not-t | # Why the expansion of functions of 2 variables in legendre polynomials does not take into account all products Pi (x) Pj (y)?
My question arises from this reading link (In this article, in equation 6 on page 3, also expands a function of 2 variables in this way Parametric estimate of intensity inhomogeneities applied... | 2019-08-24T20:39:22 | {"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": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://mathoverflow.net/questions/289368/uniform-convergence-of-resolvents-of-markov-processes | Uniform convergence of resolvents of Markov processes
I have a question about convergence of resolvents of Markov processes.
Let $X$, $X^n$ be Markov processes on a locally compact separable metric space $E$. We denote $\{ R_{\alpha}\}_{\alpha>0}$ and $\{ R_{\alpha}^n\}_{\alpha>0}$ by the resolvents of $X$ and $X^n$,... | 2019-10-19T00:53:50 | {"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": 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/how-do-you-solve-y-x-1-and-y-2x-1 | # How do you solve y = x+1 and y = 2x -1?
Aug 3, 2015
$\textcolor{red}{x = 2 , y = 3}$
#### Explanation:
One way is to use the method of substitution.
Step 1. Enter the equations.
[1] $y = x + 1$
[2] $y = 2 x - 1$
Step 2. Substitute the value of $y$ from Equation 1 into Equation 2.
$y = x + 1$
$2 x - 1 = x + 1$... | 2019-09-18T03:08:13 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 21, "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://atekihcan.github.io/CLRS/E04.03-03/ | We saw that the solution of $T(n) = 2T(\lfloor n/2 \rfloor) + n$ is $O(n \lg n)$. Show that the solution of this recurrence is also $\Omega(n \lg n)$. Conclude that the solution is $\Theta(n \lg n)$.
Let us assume $T(n) \ge c (n + b) \lg (n + b)$ for all $n \ge n_0$, where $b$, $c$, and $n_0$ are positive constants.
... | 2017-08-17T23:03:52 | {"extraction_info": {"found_math": true, "script_math_tex": 13, "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.sparrho.com/item/isotropisation-of-flat-homogeneous-universes-with-scalar-fields/920adb/ | # Isotropisation of flat homogeneous universes with scalar fields
Research paper by Stephane Fay, Jean-Pierre Luminet
Indexed on: 18 Feb '04Published on: 18 Feb '04Published in: General Relativity and Quantum Cosmology
#### Abstract
Starting from an anisotropic flat cosmological model(Bianchi type $I$), we show tha... | 2021-05-16T02:12:50 | {"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": 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/advanced-algebra/82024-how-determine-coefficient-irreducible-polynomial-help.html | # Math Help - How to determine coefficient in irreducible polynomial? HELP!!
1. ## How to determine coefficient in irreducible polynomial? HELP!!
Here is my problem:
Say if I have a irreducible polynomial for $GF(2^2)$ that is $x^2 + Nx + 1$, (N = elements of $GF(2)$) how do I determine the possible values of N ? Gi... | 2014-12-28T17:38:10 | {"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": 114, "wp_latex": 0, "mimetex.cgi": 0, "/images/m... |
https://www.shaalaa.com/question-bank-solutions/with-a-neat-labelled-diagram-show-that-all-harmonics-are-present-in-an-air-column-contained-in-a-pipe-open-at-both-the-ends-define-end-correction-study-vibrations-air-columns_3106 | # With a neat labelled diagram, show that all harmonics are present in an air column contained in a pipe open at both the ends. Define end correction. - Physics
With a neat labelled diagram, show that all harmonics are present in an air column contained in a pipe open at both the ends. Define end correction.
#### Sol... | 2021-10-24T04:11:23 | {"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": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://zbmath.org/?q=an%3A0535.49010 | zbMATH — the first resource for mathematics
Strongly nonlinear unilateral problems. (English) Zbl 0535.49010
The authors prove the existence of a solution for the obstacle problem of the type $u\in K,\quad g(.,u)\in L^ 1(\Omega),\quad g(.,u)u\in L^ 1(\Omega),$ $<A(u)-f,v-u>+\int_{\Omega}g(.,u)(v-u)\geq 0\quad for\quad... | 2021-06-20T03:18:45 | {"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": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://doc.sagemath.org/html/en/reference/modfrm/sage/modular/modform/j_invariant.html | # q-expansion of j-invariant¶
sage.modular.modform.j_invariant.j_invariant_qexp(prec=10, K=Rational Field)
Return the $$q$$-expansion of the $$j$$-invariant to precision prec in the field $$K$$.
If you want to evaluate (numerically) the $$j$$-invariant at certain points, see the special function elliptic_j().
Warni... | 2019-06-27T08:12:23 | {"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": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://mathematica.stackexchange.com/questions/89749/styling-the-edges-of-a-graph-according-to-the-multiplicities-of-the-edges | Styling the edges of a graph according to the multiplicities of the edges
I used the following code to make a simple triangle, in which the nodes have different effects each other:
data = {{0, 1, 0}, {0, 0, 2}, {3, 0, 0}};
That gave me three edges between nodes 1 and 3, and two edges between nodes 2 and 3. How can ... | 2020-01-18T03:06:47 | {"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": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://thinkinator.com/category/statistics/bayesian-statistics-statistics/ | # Electricity Usage in a High-rise Condo Complex pt 6 (discussion of model)
In Part 4 of this series, I created a Bayesian model in Stan. A member of the Stan team, Bob Carpenter, has been so kind as to send me some comments via email, and has given permission to post them on the blog. This is a great opportunity to g... | 2015-11-28T18:23:42 | {"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": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 20, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://cs.stackexchange.com/questions/47398/matrix-whose-eigenvectors-are-hermite-polynomials | # Matrix whose eigenvectors are Hermite polynomials [closed]
I first constructed a symmetric matrix as the Laplacian operator, and its eigenvectors are a series of harmonics functions as expected. I programmed it and convinced myself. The matrix looks like: $$\left(\begin{array}{ccc} 1& -1 & 0 & 0 & 0 \\ -1& 2 & -1 & ... | 2020-08-06T13:35:18 | {"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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.vedantu.com/ncert-solutions/ncert-solutions-class-2-maths-chapter-9 | Courses
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# NCERT Solutions for Class 2 Maths Chapter 9
## NCERT Solutions for Class 2 Maths Chapter 9 - My Funday
Last updated date: 23rd Mar 2023
Total views: 406.2k
Views today: 8.84k
NCERT Solutions for Class 2 Maths Chapter 9 provide stepwise error-free... | 2023-03-27T19:36:16 | {"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": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://math.stackexchange.com/questions/303699/v-1-v-2-subspaces-of-v-show-that-there-is-a-basis-mathcal-b-for-v-such | # $V_1, V_2$ subspaces of $V$. Show that there is a basis $\mathcal B$ for V such that $\mathcal B \cap (V_1 \cup V_2)= \emptyset$
Let $V$ be a vector space over a field $F$. Suppose $V_1,V_2$ are subspaces of $V$ that lies strictly between $\{ 0_V \}$ and $V$. Show that there is a basis $\mathcal B$ for $V$ such that... | 2015-09-04T10:58:08 | {"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://www.ncatlab.org/nlab/show/local+BRST+cohomology | Contents
# Contents
## Idea
Given a Lagrangian field theory $(E,\mathbf{L})$ with field bundle $E \overset{fb}{\to} \Sigma$ over some spacetime $\Sigma$ and local Lagrangian density $\mathbf{L}$, then its local BV-BRST complex (or local BRST complex, for short) is the realization of the BV-BRST complex not on local ... | 2021-03-09T01:20:22 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 41, "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://deepai.org/publication/analysis-for-the-slow-convergence-in-arimoto-algorithm | Analysis for the Slow Convergence in Arimoto Algorithm
In this paper, we investigate the convergence speed of the Arimoto algorithm. By analyzing the Taylor expansion of the defining function of the Arimoto algorithm, we will clarify the conditions for the exponential or 1/N order convergence and calculate the converg... | 2021-10-26T14:52:05 | {"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... |
https://vuhavan.wordpress.com/2013/08/25/how-many-real-zeroes-does-a-random-polynomial-have/ | Finding real zeroes of a polynomial (with real coefficients) is perhaps one of the oldest and most important problems in mathematics. There are many theorems which give estimates for the number of real roots. A famous example is Descartes’ rule of sign changes:
“The number of positive zeroes is at most the number of s... | 2017-06-26T15:37:33 | {"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": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 50, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://mathhelpboards.com/threads/advanced-integration-techniques.3233/ | ### Welcome to our community
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#### ZaidAlyafey
##### Well-known member
MHB Math Helper
Hello
Integration is one of the most interesting topics in Mathematics. It has a wide area of applications in very different aspects of engineeri... | 2021-06-18T18:40:30 | {"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": 3, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://proxieslive.com/why-is-readq-timestamp-is-not-checked-when-a-transaction-issues-a-command-reading-q/ | # Why is Read(Q) timestamp is not checked when a transaction issues a command reading Q?
Consider a concurrent schedule of two transactions $$T_1,T_2$$:
$$R_x(Q): T_x$$ Reads $$Q$$
$$W_x(Q): T_x$$ Writes $$Q$$
$$S:R_2(A),R_1(A),W_1(A),W_2(A)$$, this schedule is not conflict serializable.However, if we follow timest... | 2020-09-29T20:27:25 | {"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": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://almostsuremath.com/tag/math-pr/ | # Multivariate Normal Distributions
I looked at normal random variables in an earlier post but, what does it mean for a sequence of real-valued random variables ${X_1,X_2,\ldots,X_n}$ to be jointly normal? We could simply require each of them to be normal, but this says very little about their joint distribution and i... | 2021-02-25T08:20:10 | {"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": 157, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/m... |
https://economics.stackexchange.com/tags/game/new | # Tag Info
The intersection itself is not terribly interesting, what matters here is only that it is not empty- that it contains some state. To know event $E$ means that one does not consider it possible that the event $E$ does not obtain and that $E$ does indeed obtain. Since the true state is always considered possi... | 2021-01-19T20:42:11 | {"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... |
http://mymathforum.com/pre-calculus/50762-quick-question.html | My Math Forum Quick question.
Pre-Calculus Pre-Calculus Math Forum
February 16th, 2015, 11:51 PM #1 Senior Member Joined: Dec 2014 From: The Asymptote Posts: 142 Thanks: 6 Math Focus: Certainty Quick question. Just a quick question: $\displaystyle (x-3)^3 - (x+1)(x-3)^2 = 0$ can the above be solved as such: $\d... | 2017-03-24T08:06:55 | {"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... |
http://math.elinkage.net/showthread.php?tid=721&pid=2671 | • 0 Votes - 0 Average
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Notes on 【Galois Theory】
02-20-2017, 11:47 AM
Post: #1
elim Moderator Posts: 578 Joined: Feb 2010 Reputation: 0
Notes on 【Galois Theory】
1 Revision from Groups, Rings and Fields
1.1 Field Extensions
Let $K,\,L$ be fields, ring homomorphism $\varphi: K\to L$ is
non-zero, then... | 2019-03-25T07:46:02 | {"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... |
https://atractor.pt/mat/Moebius/Construcao-Moebius-_en.html | ## Möbius Strip
### Construction of the Möbius strip and other surfaces
Take four paper rectangles. The proportions are not important: you can take as dimensions for the sides approximately 5cm and 30cm. Choose one of the rectangles and glue together the opposite small sides: you obtain a cylinder. Do the same for th... | 2022-09-27T18:32:12 | {"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": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://mathalino.com/tag/reviewer/eccentrically-loaded-member | ## Problem 921 | Kern Area of a Wide Flange Section: W360 x 122
Problem 921
Calculate the sketch the kern of a W360 × 122 section.
## Problem 920 | Additional Centroidal Load to Eliminate Tensile Stress Anywhere Over the Cross Section
Problem 920
A compressive load P = 100 kN is applied, as shown in Fig. 9-8a, at a ... | 2020-05-30T08:23:39 | {"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://socratic.org/questions/is-6-8-a-rational-number | Is 6.8 a rational number?
Aug 11, 2016
Yes, $6.8$ is indeed a rational number.
Explanation:
By definition, a rational number is a number that can be expressed by the ratio $\frac{a}{b}$, where $a$ and $b$ are integers and $b$ doesn't equal $0$.
$6.8 = \frac{68}{10}$ and both 68 and 10 are integers.
In addition, $... | 2021-10-22T13:14:08 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 15, "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://api-project-1022638073839.appspot.com/questions/how-do-you-factor-2x-3-3x-2-5x | # How do you factor 2x^3 - 3x^2 - 5x?
Nov 14, 2015
$2 {x}^{3} - 3 {x}^{2} - 5 x = x \left(2 x - 5\right) \left(x + 1\right)$
#### Explanation:
First, note that each term has a factor of $x$, and so we have
$2 {x}^{3} - 3 {x}^{2} - 5 x = x \left(2 {x}^{2} - 3 x - 5\right)$
Now, we can use the quadratic formula to f... | 2020-04-08T14:34:10 | {"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://tex.stackexchange.com/questions/300550/command-macro-for-an-environment | # Command macro for an environment
How can I define a command macro using \newcommand so that the argument to the command is surrounded by an environment?
• yes you can do that, what is the question? – David Carlisle Mar 23 '16 at 17:01
• It's possible but I doubt it to be very effective. – user31729 Mar 23 '16 at 17... | 2019-07-21T03:05:09 | {"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": 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/139987/quick-sort-hoares-partition-algorithm-is-there-a-mistake-in-clrs/139992#139992 | # Quick sort, Hoare's partition algorithm. Is there a mistake in CLRS?
The following problem appears in "Introduction to Algorithms" by Thomas Cormen et. al., aka CLRS.
Problem 7-1.b
Hoare's partition algorithm from the book.
Part b: Assuming the subarray $$A[p,\cdots,r]$$ contains at least two elements, show that ... | 2022-01-24T04:47:15 | {"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": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://math.stackexchange.com/questions/2384135/given-the-matrix-of-this-relation-why-isnt-the-relation-transitive | # Given the matrix of this relation, why isn't the relation transitive?
$$A = \begin{pmatrix} 0 & 1 & 1 \\ 0 & 0 & 1 \\ 0 & 0 & 0 \end{pmatrix}.$$
and the set notation for the relation is
$$R = \{(a,b),(a,c),(b,c)\}$$ Is there a fast way to show whether or not it's transitive? I thought it isn't transitive but my solu... | 2019-09-15T22:10:08 | {"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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://dev.goldbook.iupac.org/terms/view/L03606/plain | ## local fraction volatilized, $$\chi _{\text{v}}$$, $$\beta_{\text{v}}$$
in flame emission and absorption spectrometry
https://doi.org/10.1351/goldbook.L03606
The substance fraction of the volatilized component in the total desolvated component. The gaseous state includes free atoms, molecules and radicals. This quan... | 2021-10-19T12:50:47 | {"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": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://math.stackexchange.com/questions/228492/how-to-use-polyfit-function-in-matlab?answertab=votes | # How to use polyfit() function in Matlab?
First of all i am new to Matlab, and not sure whether to use polyfit or something else for my problem.
I plotted a graph with the following matlab code:
t=transpose(linspace(-1,1,50))
y=1./(1+25*t.^2)
n=10
A=fliplr(vander(t))
A=A(:,1:n)
x=A\y
u=linspace(-1,1,1000)
g=x(n)*o... | 2014-07-25T04:14:06 | {"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": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://www.maa.org/programs/faculty-and-departments/classroom-capsules-and-notes/the-matrix-of-a-rotation?device=desktop | # The Matrix of a Rotation
by Roger C. Alperin (San Jose State University)
College Mathematics Journal
May, 1989
Subject classification(s): Algebra and Number Theory | Linear Algebra | Eigenvalues and Eigenvectors | Linear Transformations | Vectors in R3 | Geometry and Topology | Plane Geometry | Angles | Lines and ... | 2017-02-19T17:05:59 | {"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://docs.mfem.org/html/classmfem_1_1VectorCoefficient.html | MFEM v4.4.0 Finite element discretization library
mfem::VectorCoefficient Class Referenceabstract
Base class for vector Coefficients that optionally depend on time and space. More...
#include <coefficient.hpp>
Inheritance diagram for mfem::VectorCoefficient:
[legend]
## Public Member Functions
VectorCoefficient (... | 2022-07-05T22:54:51 | {"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": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathhelpforum.com/algebra/72484-binomial-expansion.html | # Math Help - Binomial expansion
1. ## Binomial expansion
Is this the correct expansion $(2 - x)^{-1} = \frac{1}{2} + x + \frac{x^2}{4}$
2. No.
$(2-x)^{-1}=\frac{1}{2-x}$
3. I mean when you expand it up to x^2 using binomial expansion | 2015-03-28T14:58:28 | {"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": 0, "img_math": 0, "codecogs_latex": 2, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://china-food.net/darren-purchese-xcckjo/article.php?page=unitary-matrix-formula-20a79f | 5.1 Unitary and Orthogonal Matrices Definitions Unitaryandorth The theory and tools for quickly determining these “change of basis formulas” will be developed in these notes. Keywords : unitarily invariant norm, matrix function, Fenchel conjugacy, subdi erential, matrix opti-mization, extreme point, exposed point. Fill ... | 2022-01-20T11:06:55 | {"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": 2, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://en.wikibooks.org/wiki/General_Topology/Countability,_density | # General Topology/Countability, density
Definition (dense):
Let ${\displaystyle X}$ be a topological space and let ${\displaystyle A\subseteq X}$ be a subset. ${\displaystyle A}$ is called dense if and only if ${\displaystyle {\overline {A}}=X}$.
Definition (first-countable):
Let ${\displaystyle X}$ be a topologic... | 2021-06-18T06:58:46 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 63, "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://physics.stackexchange.com/questions/694947/how-to-build-numerically-a-dispersion-relation-of-a-finite-phononic-system | # How to build numerically a dispersion relation of a finite phononic system?
I have doubts about how to build the plot of dispersion relation for a general finite phononic system, in particular spring-mass systems. Eqs of any of these systems can be written in matrix form as $$D\vec{u}=\omega^2 \vec{u} \tag{1}$$ For ... | 2023-03-27T00:29:55 | {"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": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://dimag.ibs.re.kr/events/tag/meikehatzel/list/?eventDisplay=past | November 2020
Meike Hatzel, Constant congestion bramble
Zoom ID: 869 4632 6610 (ibsdimag)
In this talk I will present a small result we achieved during a workshop in February this year. My coauthors on this are Marcin Pilipczuk, Paweł Komosa and Manuel Sorge. A bramble in an undirected graph $G$ is a family of conne... | 2023-03-28T04:46:04 | {"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... |
http://web.emn.fr/x-info/sdemasse/gccat/sec3.7.101.3.html | ### 3.7.101.3. Flow models for $\mathrm{𝚞𝚜𝚎𝚍}_\mathrm{𝚋𝚢}$, $\mathrm{𝚜𝚊𝚖𝚎}$
Figure 3.7.24 presents flow models for the $\mathrm{𝚞𝚜𝚎𝚍}_\mathrm{𝚋𝚢}$ and the $\mathrm{𝚜𝚊𝚖𝚎}$ constraints. Blue arcs represent feasible flows respectively corresponding to the solutions $\mathrm{𝚞𝚜𝚎𝚍}_\mathrm{𝚋𝚢}$$\l... | 2017-09-25T18:52:23 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 49, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://www.esaral.com/q/a-coin-is-tossed-60-times-and-the-tail-appears-35-times-what-is-the-probability-of-getting-a-head-65189 | # A coin is tossed 60 times and the tail appears 35 times. What is the probability of getting a head?
Question:
A coin is tossed 60 times and the tail appears 35 times. What is the probability of getting a head?
(a) $\frac{7}{12}$
(b) $\frac{12}{7}$
(c) $\frac{5}{12}$
(d) $\frac{1}{25}$
Solution:
(C) $\frac{5}{... | 2023-03-31T09:04:52 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://math.stackexchange.com/questions/3195076/i-am-having-trouble-figuring-out-how-many-lambdas-births-there-are-in-a-given | I am having trouble figuring out how many lambda's (births) there are in a given birth-death Markov process problem.
These questions are not for assignment. I am just confused as to how to set up the problem. I also do not need help calculating the problems at hand.
I understand that in a birth and death problem, $$P... | 2019-05-24T09:54:19 | {"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": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.semanticscholar.org/paper/TESTING-THE-CORE-OVERSHOOT-MIXING-DESCRIBED-BY-A-ON-Zhang/4b3527575e442799157023f6b7369761ca46ee61 | # TESTING THE CORE OVERSHOOT MIXING DESCRIBED BY A TURBULENT CONVECTION MODEL ON THE ECLIPSING BINARY STAR HY VIR
@article{Zhang2012TESTINGTC,
title={TESTING THE CORE OVERSHOOT MIXING DESCRIBED BY A TURBULENT CONVECTION MODEL ON THE ECLIPSING BINARY STAR HY VIR},
author={Q. S. Zhang},
journal={The Astrophysical Journa... | 2022-08-07T21:14:21 | {"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": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathoverflow.net/revisions/106880/list | MathOverflow will be down for maintenance for approximately 3 hours, starting Monday evening (06/24/2013) at approximately 9:00 PM Eastern time (UTC-4).
The proof of Brouwer fixed point theorem by using fundamental group of $S^1$ is equal to $\mathbb{Z}$, while the fundamental group of $D^2$ is trivial. | 2013-06-19T15:12:36 | {"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://mscroggs.co.uk/blog/tags/chalkdust%20magazine | mscroggs.co.uk
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# Blog
2019-12-08
Just like last year, the year before and the year before, TD and I spent some time in November this year designing a Chalkdust puzzle Christmas card.
The card looks boring at first glance, but contains 9 puzzles. By splitting the answers into two digit number... | 2020-03-28T09:06:41 | {"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": 2, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://proofwiki.org/wiki/Set_Equivalence_of_Regular_Representations | Set Equivalence of Regular Representations
Theorem
If $S$ is a finite subset of a group $G$, then:
$\card {a \circ S} = \card S = \left|{S \circ a}\right|$
That is, $a \circ S$, $S$ and $S \circ a$ are equivalent: $a \circ S \sim S \sim S \circ a$.
Proof
Follows immediately from the fact that both the left and ri... | 2020-06-01T07:13:46 | {"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": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://planetmath.org/VanishingOfGradientInDomain | # vanishing of gradient in domain
If the function $f$ is defined in a domain (http://planetmath.org/Domain2) $D$ of $\mathbb{R}^{n}$ and all the partial derivatives of a $f$ vanish identically in $D$, i.e.
$\nabla{f}\;\equiv\;\vec{0}\quad\mbox{in}\;D,$
then the function has a constant value in the whole domain.
Pr... | 2018-11-15T18:46:52 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 26, "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://toph.co/problems/divide-and-conquer | # Divide and Conquer Problems
#### Generation Gap
There are n people standing in a queue. The age of the ith person is ai. The more the age gap betwe...
#### LIDS
We all know about LIS ( Longest Increasing Sub sequence). The task to find the length of the longest...
#### Buildings
There are n buildings in a row. ... | 2020-04-04T15:11:34 | {"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://atcoder.noip.space/contest/agc015/a | # Home
Contest: Task: Related: TaskB
Score : $200$ points
### Problem Statement
Snuke has $N$ integers. Among them, the smallest is $A$, and the largest is $B$. We are interested in the sum of those $N$ integers. How many different possible sums there are?
### Constraints
• $1 ≤ N,A,B ≤ 10^9$
• $A$ and $B$ are in... | 2023-02-08T07:27:49 | {"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://icpc.njust.edu.cn/Problem/Local/1023/ | # Unique ShutDown
Time Limit: 1000 ms
Memory Limit: 65535 ms
## Description
N computers are connected into a network. The rule is: M different pairs of computers are connected to each other by an link. All connections are two-way, that is, they can be used in both directions. There is always two students playing in... | 2018-08-19T19:57:31 | {"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": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathhelpforum.com/calculus/3225-differentiation-modulus-function.html | # Thread: differentiation of a modulus function
1. ## differentiation of a modulus function
I'm a little confused
f(x) = |x|^2 - 4|x|
I know that gives the equations of:
x^2 - 4x and
x^2 + 4x
and you can differentiate them, but which equation corresponds to which part of the graph?
2. Originally Posted by freswoo... | 2017-01-22T16:40:13 | {"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": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 6, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://dharmath.blogspot.com/2011/05/circular-locker-problem.html | ## Wednesday, May 18, 2011
### Circular Locker Problem
From a friend's brother:
There are 1000 lockers and 1000 students. The lockers are arranged in a circle, all closed. The 1st student opens all the lockers. The 2nd student closes every other locker. The 3rd student goes to every 3rd locker. If it’s open he close... | 2017-06-25T13:49:22 | {"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": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathcentral.uregina.ca/QQ/database/QQ.09.14/h/rose4.html | SEARCH HOME
Math Central Quandaries & Queries
Question from Rose, a student: A shopkeeper receives 12.5% (12 1/2 %) commission on the sale of books from the publisher. In a certain month,he receives a commission of rs.250 from the publisher. How much was his sale for that particular month?? Please help me solving thi... | 2023-01-29T12:54:40 | {"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://www.internosilfilm.com/usborne-books-thddhsk/d1ea6b-molecular-orbital-diagram-of-n2-ion | # molecular orbital diagram of n2 ion
The atomic orbitals combining linearly to form the MOs must be of the similar energy and same symmetry and may be of the two similar atoms of a homonuclear diatomic molecule/ion (e.g. Molecules with Similar Molecular Orbital Diagrams Molecules and ions formed from 2 boron atoms or... | 2021-06-22T02:03:19 | {"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": 1, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://web2.0calc.com/questions/how-do-i-solve-for-x-in-this-xy-5-x-7-i-cant-figure-it-out-and-i-really-need-help | +0
# how do I solve for x in this... xy+5=x+7? I cant figure it out and I really need help..
0
725
7
+49
how do I solve for x in this... xy+5=x+7? I cant figure it out and I really need help.
Oct 12, 2014
#7
+99356
+5
Hi Braksess,
I really like your dogged determination to understand this!
I think you are havin... | 2019-03-26T01:15:31 | {"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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.hackmath.net/en/math-problem/53813 | # Evaluate fractions
The difference of 5 1/2 and 2/3 is added to the product of 5/6 and 1/2
x = 5.25
### Step-by-step explanation:
Did you find an error or inaccuracy? Feel free to write us. Thank you!
Tips to related online calculators
Need help to calculate sum, simplify or multiply fractions? Try our fraction... | 2021-09-19T10:16:27 | {"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://mathhelpforum.com/algebra/96499-question-help.html | 1. ## Question Help
Hi Guys, Any help with this one would be awesome.
I think it requires some algebra or something.
If I am looking at a \$1,000,000 loan. The fixed rate is 7.34% the variable is 6.03%. If I fix half and half (half fixed, half floating) the average rate is 6.68% (7.34% + 6.03% divided by 2 = 6.68%)
... | 2018-02-21T01:51:04 | {"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://image.absoluteastronomy.com/topics/Arc_length | Arc length
Encyclopedia
Determining the length of an irregular arc segment is also called rectification of a curve
Curve
In mathematics, a curve is, generally speaking, an object similar to a line but which is not required to be straight...
. Historically, many methods were used for specific curves. The advent of infi... | 2023-03-26T08:10:55 | {"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://www.math.ias.edu/seminars/abstract?event=16424 | # Arithmetic Cohomology and Special Values of Zeta-Functions (after Geisser)
MOTIVIC COHOMOLOGY Topic: Arithmetic Cohomology and Special Values of Zeta-Functions (after Geisser) Speaker: Stephen Lichtenbaum Affiliation: Brown University Date: Thursday, February 22 Time/Room: 11:00am - 12:00pm/S-101
Geisser gives con... | 2020-07-15T13:10:48 | {"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... |
http://mathhelpforum.com/statistics/50504-combinations-permutations-help.html | # Math Help - Combinations & Permutations Help
1. ## Combinations & Permutations Help
Hi, I just can't seem to figure this question out so here it is, any help would be greatly appreciated.
Using a standard deck of cards, how many bridge hands (13 cards) contain 5 spades, 2 hearts, 3 diamonds and 3 clubs?
2. Hello,... | 2015-05-26T13:55:03 | {"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": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 2, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://math.stackexchange.com/questions/2941683/binomial-distribution-in-case-of-twin-children | # Binomial distribution in case of twin children
I am working on this problem of binomial distribution from this book (exercise 3.9)-
The probability of a twin birth is approximately 1/90, and we can assume that an elementary school will have approximately 60 children entering kindergarten (three classes of 20 each).... | 2019-07-24T00:04:00 | {"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": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://byjus.com/physics/differences-between-enthalpy-and-entropy/ | # Difference Between Enthalpy and Entropy
We know that the major difference between enthalpy and entropy is that even though they are part of a thermodynamic system, enthalpy is represented as the total heat content whereas the entropy is the degree of disorder.
In a closed system, $T.\Delta S=\Delta H$, which means ... | 2019-12-12T00:15:26 | {"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": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://cs.stackexchange.com/tags/heaps/new | Last call to make your voice heard! Our 2022 Developer Survey closes in less than a week. Take survey.
# Tag Info
Accepted
### Find the smallest difference between two numbers in a DS in O(1) time
Use an AVL tree with each node having three additional entries $\min,\; \max$, and $\text{closest_pair} = (i,j)$, repre... | 2022-05-27T04:18:14 | {"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": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://msl.stanford.edu/bibliography/pierson_bio-inspired_2015 | ### Bio-inspired non-cooperative multi-robot herding
@inproceedings{pierson_bio-inspired_2015,
title = {Bio-inspired non-cooperative multi-robot herding},
isbn = {978-1-4799-6923-4},
url = {http://ieeexplore.ieee.org/document/7139438/},
abstract = {This paper presents a new control strategy to control a group of dog-l... | 2022-08-14T10:18:34 | {"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://privacytools.seas.harvard.edu/publications/year/2012 | # Publications by Year: 2012
2012
Yevgeniy Dodis, Adriana López-Alt, Ilya Mironov, and Salil Vadhan. 2012. “Differential Privacy with Imperfect Randomness.” In Proceedings of the 32nd International Cryptology Conference (CRYPTO 12), Lecture Notes on Computer Science, 7417: Pp. 497–516. Santa Barbara, CA: Springer-Verl... | 2019-11-21T22:05:31 | {"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": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.gerad.ca/fr/papers/G-91-37 | Groupe d’études et de recherche en analyse des décisions
# The Congested Facility Location Problem
## Martin Desrochers, Patrice Marcotte et M Stan
Consider a network facility location problem where congestion arises at facilities, and is represented by delay functions that approximate the queuing process. We strive... | 2020-12-04T13:46:16 | {"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://openstudy.com/updates/4f162374e4b0d30b2d574235 | ## anonymous 4 years ago Let $$f$$ be a function satisfying $$f(x+y) = f(x) + f(y) \forall x,y$$ and if $$f(x) = x^2 g(x)$$ where $$g(x)$$ is a continuous function, then find $$f'(x)$$.
1. anonymous
i am going to make a guess, that $f'(x)=c$ some constant. not sure what that has to do with $f(x)=x^2g(x)$ but if i rec... | 2016-10-28T19:46:47 | {"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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.physicsforums.com/threads/length-contraction-experiment-results.849117/ | # Length contraction experiment results
1. Dec 21, 2015
### name123
I was looking at the barn door paradox, http://math.ucr.edu/home/baez/physics/Relativity/SR/barn_pole.html
But supposing that instead of a barn, there was a piece of measuring apparatus which was in two halves, with a gap in between through which t... | 2018-05-25T05:53:45 | {"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": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://deepai.org/publication/quantile-fourier-transform-quantile-series-and-nonparametric-estimation-of-quantile-spectra | DeepAI
# Quantile Fourier Transform, Quantile Series, and Nonparametric Estimation of Quantile Spectra
A nonparametric method is proposed for estimating the quantile spectra and cross-spectra introduced in Li (2012; 2014) as bivariate functions of frequency and quantile level. The method is based on the quantile disc... | 2023-02-02T20:48:41 | {"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... |
http://www.research.lancs.ac.uk/portal/en/publications/spectroscopic-properties-of-luminous-lyman-emitters-at-z-approx-6--7-and-comparison-to-the-lymanbreak-population(32319d66-a50b-4bdd-b646-642d1a7e8603).html | Home > Research > Publications & Outputs > Spectroscopic properties of luminous Lyman-α em...
### Electronic data
• 1706 (1).06591v1
Rights statement: This is a pre-copy-editing, author-produced PDF of an article accepted for publication in Monthly Notices of the Royal Astronomical Society following peer review. The... | 2020-08-07T05:06:50 | {"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": 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/joint-probability-mass-function.802439/ | # Joint probability mass function
1. Mar 10, 2015
### zyQuzA0e5esy2y
2 coins
Ω = {HH, HT, TH, TT}
0 = Tails
PX,Y(x,y) = P({TT} n {HH}) for (x,y) = (0,0)
P({HH, HT,TH} n {HH}) for (x,y) = (1,0)
P({TT} n {TT, TH, HT}) for (x,y) = (0,1)
P({HH,HT,TH} n {TH,HT,TT}) for (x,y) = (1,1)
0 otherwise
PX,Y(x,y) = P(0) for (x,y... | 2017-09-24T08:37:35 | {"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... |
http://math.stackexchange.com/questions/120981/evaluating-int-01-sqrt1x2-text-dx | # Evaluating $\int_{0}^{1} \sqrt{1+x^2} \text{ dx}$
I'm learning integral. Here is my homework:
$$\int_0^1 \sqrt{1+x^2}\;dx$$
I think this problem solve by change $x$ to other variable. Can you tell me how please. (just direction how to solve)
thanks :)
-
You could start by setting $x=\tan\theta$. Then $dx=\sec^2\... | 2015-07-31T05:13:23 | {"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... |
http://mathoverflow.net/questions/79160/relating-eigenvectors-of-two-self-adjoints-operators | # Relating eigenvectors of two self-adjoints operators
Suppose I have a self-adjoint operator $\mathbf{L}$ which I seperate in two parts which are themselves self-adjoint. I write this in terms of their eigenvalues/eigenvectors:
$\mathbf{v} \Lambda \mathbf{v}^T = \mathbf{v}_1 \Lambda_1 \mathbf{v}^T_1 + \mathbf{v}_2 \... | 2016-07-02T07:40:05 | {"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... |
http://mathhelpforum.com/pre-calculus/46403-whats-domain.html | # Math Help - Whats the domain?????
1. ## Whats the domain?????
2. The domain is all the $x$ that make $x(x-18)>0$.
3. I know that..but i need the domain in interval notation of that function
4. Originally Posted by arbolis
The domain is all the $x$ that make $x(x-18)>0$.
5. Ok. Note that $x(x-18)$ vanishes when x ... | 2014-08-01T14:28:56 | {"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": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 11, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://zbmath.org/?q=an:0972.14015 | # zbMATH — the first resource for mathematics
Torsors and rational points. (English) Zbl 0972.14015
Cambridge Tracts in Mathematics. 144. Cambridge: Cambridge University Press. viii, 187 p. (2001).
Contents: 1. Introduction;
Part one: Torsors:
2. Torsors: general theory; 3. Examples of torsors; 4. Abelian torsors;
Par... | 2021-10-20T13:20:03 | {"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": 0, "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/4d67f6cc5f368b0b7c6fb6b0 | ## anonymous 5 years ago How do you integrate e^2x sin(3x)dx?
1. bahrom7893
Use integration by parts. Btw when is this due?
2. anonymous
its a revision, we cant figure it out
3. bahrom7893
No i just meant i have to do my own hw too, so do u need this like right away or by tonite or by 2morro mornin?
4. bahrom789... | 2016-09-27T08:46:17 | {"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... |
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