url string | text string | date timestamp[s] | metadata string |
|---|---|---|---|
https://www.physicsforums.com/threads/taylor-serie-of-a-function-1-1-z-2.554724/ | Taylor serie of a function 1/(1+Z^2)
1. Nov 28, 2011
nicolas.ard
Hello folks,
I have this function, un complex numbers
$\frac{1}{(1+z^2)}$
I know that the Taylor serie of that function is
$\frac{1}{(1+z^2)}$ = $\sum (-1)^k.z^(2.k)$
2. Nov 28, 2011
HallsofIvy
Okay, do you have a question[/b}? What do you want t... | 2018-09-19T06:47:54 | {"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.eduzip.com/ask/question/in-figure-a-b-c-are-collinear-points-and-angle-dbaangle-eba-name-521033 | Mathematics
# In figure, A, B, C are collinear points and $\angle DBA=\angle EBA$. Name two pairs of supplementary angles.
##### SOLUTION
Supplementary angles are two angles whose sum is $180^{0}$.
According to question, $\angle DBA=\angle EBA$
And $line\ AC$ is a straight line.
So, $\angle DBA+\angle DBC=180^0$ ... | 2022-01-28T20:31:48 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://puzzling.stackexchange.com/questions/80400/get-2-liters-from-4-and-5-liter-buckets/80402 | # Get 2 liters from 4 and 5 liter buckets [duplicate]
You have a 4 liter bucket and a 5 liter bucket and an (infinite) supply of liquid.
How do you get 2 liters? | 2020-04-09T05:13:05 | {"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://web2.0calc.com/questions/two-circles-again | +0
# two circles again
0
57
1
The smaller circle in the diagram is internally tangent to the larger circle. The area of the gray region is $100\pi$ square units. The perimeter of the gray region (include both inner and outer boundaries) is $100\pi$ units. What is the distance in units between the centers of the two ... | 2021-04-13T08:28:16 | {"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... |
https://www.semanticscholar.org/paper/Lecture-notes-on-Mather's-theory-for-Lagrangian-Sorrentino/95d22cc6d101e6b180becda123c6067b48a0138f | Corpus ID: 118946546
# Lecture notes on Mather's theory for Lagrangian systems
@article{Sorrentino2010LectureNO,
title={Lecture notes on Mather's theory for Lagrangian systems},
author={Alfonso Sorrentino},
journal={arXiv: Dynamical Systems},
year={2010}
}
• Alfonso Sorrentino
• Published 2010
• Mathematics
• arXiv: ... | 2021-01-23T02:24:44 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://math.stackexchange.com/questions/2537995/windowed-fourier-transform | # Windowed Fourier Transform
I am having some difficulties with this question.
We define the windowed Fourier transform of $f \in L^2(\mathbb{R})$ as $$Sf(\mu,\xi)=\int_\mathbb{R}f(t)g(t-\mu)e^{-i\xi t}dt$$
where $g$ is some real, symmetric and finite supported function such that it vanishes outside a finite interva... | 2019-06-18T07:17:44 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathematica.stackexchange.com/tags/symbolic/hot?filter=all | # Tag Info
42
I guess that V9 now adds this capability: $Assumptions = { Element[A, Matrices[{m, n}]], Element[B, Matrices[{n, k}]] }; TensorReduce[ Transpose[Transpose[A].Transpose[B]] ] (* Out: B.A *) 42 In the first case PowerExpand comes to the rescue: PowerExpand@Power[p^(n m) q, 1/n] (* Out: p^m q^(1/n) *) Note... | 2016-04-29T08:29:02 | {"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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.projecteuclid.org/euclid.agt/1513796660 | ## Algebraic & Geometric Topology
### Volumes of highly twisted knots and links
Jessica Purcell
#### Abstract
We show that for a large class of knots and links with complements in $S3$ admitting a hyperbolic structure, we can determine bounds on the volume of the link complement from combinatorial information given... | 2020-01-20T06:57:56 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 1, "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://crazyproject.wordpress.com/2012/01/03/properties-of-the-derivative-of-a-matrix-power-series/ | ## Properties of the derivative of a matrix power series
Let $G(x)$ be a formal power series on $\mathbb{C}$ having an infinite radius of convergence and fix an $n \times n$ matrix $A$ over $\mathbb{C}$. The mapping $t \mapsto G(At)$ carries a complex number $t$ to a complex matrix $G(At)$; we can think of this as the... | 2017-03-28T06:13:29 | {"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": 0, "img_math": 51, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://www.tutorialspoint.com/count-of-numbers-such-that-difference-between-the-number-and-sum-of-its-digits-not-less-than-l-in-cplusplus | # Count of Numbers such that difference between the number and sum of its digits not less than L in C++
We are given a number N and another number L. The goal is to find the numbers between 1 and N that have a difference between the number itself and the sum of its digits is not less than L.
If N=23, L=10 then the co... | 2023-02-07T18:41:52 | {"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": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.gradesaver.com/textbooks/math/algebra/college-algebra-7th-edition/chapter-1-equations-and-graphs-section-1-10-modeling-variation-1-10-exercises-page-164/17 | College Algebra 7th Edition
$\displaystyle R= \frac{kP^{2}t^{2}}{b^{3}}$
Since $R$ is directly (jointly) proportional to the squares of $P$ and $t$, but inversely proportional to the cube of $b$, we have: $\displaystyle R= \frac{kP^{2}t^{2}}{b^{3}}$ (where $k$ is a constant.) | 2018-07-19T14:09:18 | {"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://plainmath.net/90911/upper-bound-of-natural-logarithm-i-was-p | # Upper bound of natural logarithm I was playing looking for a good upper bound of natural logarithm and I found that ln x<=x^1/e apparently works: Can someone give me a formal proof of this inequality?
Upper bound of natural logarithm
I was playing looking for a good upper bound of natural logarithm and I found that
... | 2022-10-02T06:04:17 | {"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... |
http://cdsweb.cern.ch/collection/ATLAS%20Conference%20Contributions?ln=en&as=1 | # ATLAS Conference Contributions
2020-06-26
16:12
Performance study of the ATLAS Forward Proton Time-of-Flight Detector System - Contribution to proceedings of the 28th International Workshop on Vertex Detectors - Vertex2019 / Cerny, Karel (Palacky University, RCPTM) The performance of the ATLAS Forward Proton Time-o... | 2020-08-05T19:34:53 | {"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... |
https://borneomath.com/kindergarten-sample-paper-fmo-2021/ | # KINDERGARTEN-SAMPEL PAPER FMO 2021
Berikut ini adalah soal beserta kunci jawaban Fermat Mathematic Olympiad (FMO) 2021 (Sc: Edukultur Indonesia)
A. Warm-up (4 points per question / No points deducted for wrong answers)
1. One car has 4 wheels. How many wheels do two cars have in total?
A) 2
B) 8
C) 4
D) 6
E) 12
... | 2023-03-26T12:48:12 | {"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... |
https://www.physicsforums.com/threads/solve-for-salary-given-averages-of-other-salaries.900651/ | # Homework Help: Solve for salary given averages of other salaries
1. Jan 17, 2017
### Mindscrape
My wife is working on problems to study for the GMAT, and asks her fellow math nerd (me) to help on some of them. Originally I had an error and wanted to see if any of you could help me find it, but as I was typing I fo... | 2018-07-17T08:19:44 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.zbmath.org/?q=an%3A1154.68056 | # zbMATH — the first resource for mathematics
Computational complexity. A conceptual perspective. (English) Zbl 1154.68056
Cambridge: Cambridge University Press (ISBN 978-0-521-88473-0/hbk). xxiv, 606 p. (2008).
This is a quite complete and updated treatment of complexity theory. The conceptual approach, claimed in th... | 2021-09-20T11:50:09 | {"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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://mathoverflow.net/tags/foundations/hot | # Tag Info
210
I apologize for writing a lengthy answer, but I get the feeling the discussions about foundations for formalized mathematics are often hindered by lack of information. I have used proof assistants for a while now, and also worked on their design and implementation. While I will be quick to tell jokes a... | 2022-01-21T01:17:28 | {"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": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://physics.stackexchange.com/questions/82476/can-i-usefully-interpret-a-non-unital-completely-positive-cp-map-as-a-cooling?answertab=votes | # Can I usefully interpret a non-unital completely positive (CP) map as a cooling process?
Non-unital completely positive (CP) maps take a maximally mixed quantum state (aka a normalized identity matrix aka an infinite temperature state) and map it to something else. This necessarily decreases its von Neumann entropy ... | 2014-04-20T21:32:50 | {"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.degruyter.com/view/j/math.2017.15.issue-1/math-2017-0098/math-2017-0098.xml | Show Summary Details
More options …
# Open Mathematics
### formerly Central European Journal of Mathematics
Editor-in-Chief: Vespri, Vincenzo / Marano, Salvatore Angelo
IMPACT FACTOR 2018: 0.726
5-year IMPACT FACTOR: 0.869
CiteScore 2018: 0.90
SCImago Journal Rank (SJR) 2018: 0.323
Source Normalized Impact per Pa... | 2019-12-12T05:45:02 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 3, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.esaral.com/q/solve-this-following-25422/ | Solve this following
Question:
Compound $\mathrm{A}\left(\mathrm{C}_{9} \mathrm{H}_{10} \mathrm{O}\right)$ shows positive iodoform test. Oxidation of $\mathrm{A}$ with $\mathrm{KMnO}_{4} / \mathrm{KOH}$ gives acid $\mathrm{B}\left(\mathrm{C}_{8} \mathrm{H}_{6} \mathrm{O}_{4}\right)$. Anhydride of $\mathrm{B}$ is used ... | 2022-06-29T00:27:37 | {"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... |
https://optimization-online.org/tag/constrained-weighted-ell_r-ell_1-minimization/ | ## A new sufficient condition for non-convex sparse recovery via weighted $\ell_r\!-\!\ell_1$ minimization
In this letter, we discuss the reconstruction of sparse signals from undersampled data, which belongs to the core content of compressed sensing. A new sufficient condition in terms of the restricted isometry cons... | 2023-03-27T14:24:45 | {"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... |
http://math.stackexchange.com/questions/232436/how-to-solve-lim-x-rightarrow-infty-sqrtx-ax-b-x | # How to solve $\lim_{x\rightarrow +\infty} \sqrt{(x-a)(x-b)}-x$?
How do I solve? I've tried to multiply and divide by the conjugate cannot advance. $$\lim_{x\rightarrow +\infty} \sqrt{(x-a)(x-b)}-x$$
-
Multiplying and dividing by the conjugate works fine. Let $x$ be positive and larger than $a$ and $b$. We quickly o... | 2013-12-20T02:27:48 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://math.stackexchange.com/questions/290209/diff-eq-transformation-polar-coordinates/290220 | # Diff eq. transformation polar coordinates
I have $(x',y')=(x-y-x(x^2+y^2)+\frac{xy}{\sqrt{x^2+y^2}},x+y-y(x^2+y^2)-\frac{x^2}{\sqrt{x^2+y^2}} )$
Now I want to use polar coordinates $(x,y)=(r\cos(t),r\sin(t))$ to get $(r',t')=(r(1-r^2),2\sin(\frac{t}{2})^2)$
I do not see this relation. When I put $x=\cos t$, $y=\si... | 2014-12-22T00:23:07 | {"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... |
https://www.gradesaver.com/textbooks/math/algebra/elementary-linear-algebra-7th-edition/chapter-3-determinants-3-4-applications-of-determinants-3-4-exercises-page-136/4 | Elementary Linear Algebra 7th Edition
Published by Cengage Learning
Chapter 3 - Determinants - 3.4 Applications of Determinants - 3.4 Exercises - Page 136: 4
Answer
$$\operatorname{adj}(A)=\left[ \begin {array}{ccc} 4&2&-5\\ -2&-4&1 \\ -2&2&1\end {array} \right] .$$ $$A^{-1}= -\frac{1}{6}\left[ \begin {array}{ccc} ... | 2019-12-09T05:08:07 | {"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://havenwoodbaptist.org/poacvdkd/9fsuld.php?ada95d=examples-of-nuclear-fusion | # examples of nuclear fusion
Nuclear fusion is the Holy Grail of energy production. Nuclear fusion is the breakdown of a heavy nucleus into two lighter nuclei due to bombardment of neutron. Nuclear fission power plants generate unstable nuclei; some of these are radioactive for millions of years. In addition, the wast... | 2021-08-05T08:39:17 | {"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": 1, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://crazyproject.wordpress.com/2011/01/01/show-that-a-given-polynomial-is-irreducible-over-the-rationals-with-%E2%88%9A-2-adjoined/ | ## Show that a given polynomial is irreducible over the rationals with √(-2) adjoined
Prove that $p(x) = x^4 - 4x^2 + 8x + 2$ is irreducible over the quadratic field $\mathbb{Q}(\sqrt{-2})$.
We saw previously that $\mathbb{Z}[\sqrt{-2}]$ is a Euclidean domain with field of fractions $\mathbb{Q}(\sqrt{-2})$. Thus it i... | 2017-01-22T05:53:41 | {"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": 57, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://math.stackexchange.com/questions/2325600/eigenvalues-of-matrix | # Eigenvalues of matrix
Let $\mathbb{C}^n$ be given. Consider a matrix $A$ on it with one simple eigenvalue zero and all other eigenvalues having strictly negative real part.
Now, let $v$ be the eigenvector to eigenvalue $0$ and $V$ be a subspace of $\mathbb{C}^n$ such that $v \notin V$ and $AV \subset V.$
Does this... | 2019-06-18T12:37:28 | {"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": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://wizedu.com/questions/25996/suppose-your-firm-uses-2-inputs-to-produce-its | In: Economics
# Suppose your firm uses 2 inputs to produce its output: K (capital) and L (labor). the...
Suppose your firm uses 2 inputs to produce its output: K (capital) and L (labor). the production function is q = 50K^(1/2)L^(1/2). prices of capital and labor are given as r = 2 and w = 8
a) does the production f... | 2023-03-25T00:48:33 | {"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": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://math.stackexchange.com/questions/236939/limit-of-a-function-at-infinity | # Limit of a function at infinity
I have a question that finding the limit : $\text{lim}_{x\rightarrow \infty}x(\sqrt{x^2+1}-x)$.
My strategy is follows :
$\text{lim}_{x\rightarrow \infty}x(\sqrt{x^2+1}-x)=\text{lim}_{x\rightarrow \infty}\dfrac{x}{\sqrt{x^2+1}+x}$
From this if I divide both the denominator and the ... | 2015-08-01T16:30:57 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.math.temple.edu/events/seminars/algebra/2019/ | Algebra Seminar 2019
Current contacts: Vasily Dolgushev, Ed Letzter or Martin Lorenz.
The Seminar usually takes place on Mondays at 1:30 PM in Room 617 on the sixth floor of Wachman Hall. Click on title for abstract.
• Monday January 28, 2019 at 13:30, Wachman 617
Paschke Categories, K-homology and the Riemann-Roch ... | 2020-02-26T22:23:50 | {"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://socratic.org/questions/how-do-you-find-the-slope-perpendicular-to-2x-3-4y | # How do you find the slope perpendicular to 2x + 3 = 4y?
Jan 20, 2016
Perpendicular slope has value $- 2$
#### Explanation:
Since the given equation is a simple linear equation, it's not difficult to find the slope perpendicular to the given equation.
Now, we know that the product of the value of the slopes of 2 p... | 2019-11-20T12:59:57 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 5, "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://en.khanacademy.org/math/ap-calculus-ab/ab-integration-new/ab-6-6/v/both-bounds-being-a-function-of-x | If you're seeing this message, it means we're having trouble loading external resources on our website.
If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.
Finding derivative with fundamental theorem of calculus: x is on both bounds
AP.CALC:
FUN‑6 (EU)
,... | 2023-03-21T09:05:22 | {"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://byjus.com/question-answer/a-man-sold-two-articles-at-375-each-on-the-first-article-he-gains-25/ | Question
# A man sold two articles at $$375$$ each. On the first article, he gains $$25$$% and on the other, he loses $$25$$%. How much does he gain or lose in the whole transaction? Also, find the gain or loss percent in the whole transaction.
Solution
## First article$$SP =375$$Gain$$\% =25\%$$CP $$=\cfrac{ 100 \... | 2022-01-29T01:47:48 | {"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://socratic.org/questions/how-do-you-find-the-exact-value-of-the-six-trigonometric-functions-of-the-angle--6#420773 | # How do you find the exact value of the six trigonometric functions of the angle whose terminal side passes through (x, 4x)?
May 10, 2017
$\sin \theta = \frac{4}{\sqrt{17}}$, $\cos \theta = \frac{1}{\sqrt{17}}$, $\tan \theta = 4$,
$\cot \theta = \frac{1}{4}$, $\sec \theta = \sqrt{17}$, $\csc \theta = \frac{\sqrt{17... | 2022-06-29T09:36:54 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 24, "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://codereview.stackexchange.com/questions/58714/java-sort-by-selection-which-is-better-in-regards-to-readability-and-efficiency/58715 | # Java sort by selection: which is better in regards to readability and efficiency?
Which algorithm do you think is better in regards to readability and efficiency?
selection():
public static int[] selection(int[] tab) {
int minor;
int aux;
for (int i=0; i<tab.length-1; i++) {
minor = tab[i];
for (int j=i+1; j<=tab.... | 2021-05-06T19:21:41 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.encyclopediaofmath.org/index.php/Kronecker%E2%80%93Capelli_theorem | Kronecker-Capelli theorem
(Redirected from Kronecker–Capelli theorem)
compatibility criterion for a system of linear equations
A system of linear equations $$\begin{array}{ccc} a_{11} x_1 + \cdots + a_{1n}x_n &=& b_1 \\ \vdots & \vdots & \vdots \\ a_{n1} x_1 + \cdots + a_{nn}x_n &=& b_n \end{array}$$
is compatible ... | 2019-11-14T01:44:56 | {"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://physics.stackexchange.com/questions/599280/what-happens-when-a-light-is-shone-across-a-spaceship-in-its-direction-of-motion | # What happens when a light is shone across a spaceship in its direction of motion? [closed]
Imagine a space ship in S frame moving with speed v (in the x direction) relative to S'. An astronaut on board shines a light from the the rear of the spacecraft to the front (along the x-direction). The astronaut measures the... | 2022-05-25T01:13:12 | {"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": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://mathoverflow.net/questions/360488/lefschetz-type-theorems-for-linear-sections | # Lefschetz type theorems for linear sections
Let $$X\subset\mathbb{P}^n$$ be e normal variety, $$L\subset\mathbb{P}^n$$ a linear subspace, and $$Y = X\cap L$$ a linear section. Assume that $$Y$$ is also normal. In particular, we have that $$Sing(X)$$ has codimension at least two in $$X$$, and $$Sing(Y)$$ has codimens... | 2020-07-09T20:18:00 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 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/488176/multivariate-jensen-shannon-divergence | # Multivariate Jensen-Shannon divergence
This paper says multivariate Jensen-Shannon divergence is
$$JS(\mathbf{p}_1,\dots,\mathbf{p}_K) = \frac{1}{m} \sum KL(\mathbf{p}_i || \bar{\mathbf{p}})$$ with $$KL$$ being the KL-divergence of the multiple probability distributions. Is it accurate compared to bivariate JS-dive... | 2021-08-02T15:49:42 | {"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": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://web2.0calc.com/questions/i-need-help-pleaseeee | +0
0
115
2
+64
The five circles making up this archery target have diameters of length and. What is the total red area?
Simplify your answer as much as you can. You can use pi in your answer if necessary (for example, if the answer were, you could enter "3pi" or "3*pi" or "$3\pi$").
Apr 7, 2019
#1
+102417
0
You d... | 2019-08-25T02:04:21 | {"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... |
http://www.physicsforums.com/showthread.php?t=184011 | # Average Rate of Change (word problem)
by xCanx
Tags: average, rate, word
P: 45 I'm having trouble understanding this word problem. A construction worker drops a bolt while woring on a high-rise building 320m above the ground. After t seconds, the bolt has fallen a distance of s metres, where s(t) = 320-5t^2, o < t ... | 2014-09-19T09:53:50 | {"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": 0, "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/143882/how-many-n-2-cycles-can-a-cubic-graph-have | # How many n/2-cycles can a cubic graph have
Given a simple cubic graph with $n$ vertices (which implies that $n$ is even), what is a good upper bound on the number of cycles of length $n/2$ it can have?
A random cubic graph has $\Theta((4/3)^n/n)$ cycles of length $n/2$, if I did my sums right. So do random cubic bi... | 2016-02-13T13:01:48 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://math.stackexchange.com/questions/3394608/finding-sum-of-digits-of-a-number-in-an-olympiad-question | # Finding sum of digits of a number in an olympiad question.
The question is question no $$6$$ from 2016 IWYMIC olympiad individual round (It can be found here.)
Rephrased in my words , in says :
Let $$A =\,\underbrace{ 6666...66666} _{2016 \, times}\,\,$$ and $$\,\,B =\,\underbrace{ 99999...99999} _{2016 \, times}$... | 2022-10-07T22:03:17 | {"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://mlwiki.org/index.php/Inversion_Count | ML Wiki
Inversion Count
Sequence inversion
• In a sequence $\pi = \langle a_0, ..., a_t \rangle$ or elements $A = \{ a_i \}$
• a pair $(a_i, a_j)$ is an inversion if $i < j \land a_i > a_j$
• the number of such inversions is the inversion number of sequence $\pi$
• this is a measure of "sortedness" of sequence $\pi$... | 2022-12-06T05:03:09 | {"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": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.prepanywhere.com/prep/textbooks/functions-11-nelson/chapters/chapter-3-quadratic-functions/materials/mid-chapter-review | Mid Chapter Review
Chapter
Chapter 3
Section
Mid Chapter Review
Solutions 29 Videos
For the table, calculate the second differences. Determine whether the function is quadratic.
Q1a
For the table, calculate the second differences. Determine whether the function is quadratic.
Q1b
Graph
\displaystyle f(x) = -3(x - ... | 2021-03-01T10:08:14 | {"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": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://ringtheory.herokuapp.com/keywords/keyword/15/ | # Keyword: matrix ring
Description: Given a ring $R$ and a natural number $n$, the set $M_n(R)$ with ordinary matrix operations. | 2018-11-19T06:12:25 | {"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": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://zbmath.org/?q=an%3A1092.68676 | ## Approximate entropy reducts.(English)Zbl 1092.68676
Summary: We use information entropy measure to extend the rough set based notion of a reduct. We introduce the Approximate Entropy Reduction Principle (AERP). It states that any simplification (reduction of attributes) in the decision model, which approximately pr... | 2022-08-15T07:21:47 | {"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.lmfdb.org/EllipticCurve/Q/15680/bz/ | # Properties
Label 15680.bz Number of curves 4 Conductor 15680 CM no Rank 1 Graph
# Related objects
Show commands for: SageMath
sage: E = EllipticCurve("15680.bz1")
sage: E.isogeny_class()
## Elliptic curves in class 15680.bz
sage: E.isogeny_class().curves
LMFDB label Cremona label Weierstrass coefficients Tors... | 2020-02-27T15:49:58 | {"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": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://byjus.com/physics/unit-of-torque/ | # Unit of Torque
Torque Units
Common symbols
$\tau$, M
SI unit
N⋅m
In SI base units
kg⋅m2⋅s−2
Other units
pound-force-feet, ozf⋅in, lbf⋅inch
Dimension
ML2T−2
Before we dive into the unit of torque we need to understand what torque is and a few related things. Having said that, if we recall learning about fo... | 2020-05-31T07:35:52 | {"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://brilliant.org/problems/again-a-good-problem/ | # This can't be that Short!
Algebra Level 4
$\displaystyle \sum_{k=1}^m \left [ (k^2 + 1) \ k! \right ] = 1999 \times 2000!$
What value of $$m$$ satisfies the above summation?
× | 2017-10-23T15:42:33 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://cs-syd.eu/posts/2020-07-28-how-to-deal-with-money-in-software | # How to deal with money in software
Date 2020-07-28
I recently did my accounting for my investment account. I noticed a significant amount of errors in the account statement that my broker gave me.
After a bit of a rant on Twitter, I want to explain what they likely did wrong and how to deal with money correctly in... | 2022-11-26T18:16:40 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://testbook.com/question-answer/frac1log-_2x-frac1log-_3--602b43adedee037ad15f808d | # $$\frac{1}{{{{\log }_2}x}} + \frac{1}{{{{\log }_3}x}} + \frac{1}{{{{\log }_4}x}} + \ldots .. + \frac{1}{{{{\log }_{50}}x}},x \ne 1$$ is equal to
This question was previously asked in
UP TGT Mathematics 2019 Official Paper
View all UP TGT Papers >
1. $$\frac{{50}}{{{{\log }_{50}}x}}$$
2. $$\frac{{49}}{{{{\log }_{49}}... | 2021-09-28T05:30:50 | {"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://proofwiki.org/wiki/Integral_Representation_of_Dirichlet_Eta_Function_in_terms_of_Gamma_Function | # Integral Representation of Dirichlet Eta Function in terms of Gamma Function
## Theorem
$\ds \map \eta s = \frac 1 {\map \Gamma s} \int_0^\infty \frac {x^{s - 1} } {e^x + 1} \rd x$
where:
$s$ is a complex number with $\map \Re s > 0$
$\eta$ denotes the Dirichlet eta function
$\Gamma$ denotes the Gamma function.
... | 2023-03-29T16:31:38 | {"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": 2, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://mathleaks.com/study/kb/rule/relationship_between_arc_length_and_arc_measure | {{ item.displayTitle }}
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{{ printedBook.cou... | 2021-03-02T20:27:31 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 1, "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://mathematica.stackexchange.com/questions/255577/including-literals-into-compiled-c-code?noredirect=1 | # Including literals into compiled C code
I have a function that I want to Compile into C for speed. Inside this function is a certain long expression called x, which has been computed earlier in a Mathematica session. However, if you call x naively inside the code, then you are referring to an "external variable" and... | 2022-07-04T11:22:54 | {"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://matpitka.blogspot.com/2023/01/about-selection-of-action-defining-k.html | ## Wednesday, January 18, 2023
### About the selection of the action defining the Kähler function of the "world of classical worlds" (WCW)
About the selection of the action defining the Kähler function of the "world of classical worlds" (WCW)
The proposal is that space-time surfaces correspond to preferred extremals... | 2023-01-27T14:17:34 | {"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://dsp.stackexchange.com/questions/84086/effect-of-overlapping-percentage-on-stft-output | # Effect of overlapping percentage on STFT output
I know STFT is generally applied to non-stationary signals but I tried to apply it to a stationary signal to get a working knowledge.
I created a stationary signal composed of three frequencies as below:
x = 3*cos(2*pi*30*t + phi1) + 2*cos(2*pi*45*t - phi2) + 1*cos(2... | 2022-09-29T16:42:21 | {"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... |
https://stats.libretexts.org/Bookshelves/Probability_Theory/Probability_Mathematical_Statistics_and_Stochastic_Processes_(Siegrist)/05%3A_Special_Distributions/5.26%3A_The_U-Power_Distribution | # 5.26: The U-Power Distribution
The U-power distribution is a U-shaped family of distributions based on a simple family of power functions.
## The Standard U-Power Distribution
### Distribution Functions
The standard U-power distribution with shape parameter $$k \in \N_+$$ is a continuous distribution on $$[-1, 1... | 2021-10-20T20:05:29 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.physicsforums.com/threads/a-set-of-measure-0.304220/ | # A set of measure 0
1. Apr 1, 2009
### e(ho0n3
1. The problem statement, all variables and given/known data
Let $(X_n)$ be a sequence of measurable subsets of $\mathbb R$ such that
$$\sum_{i=1}^\infty m(X_i) < \infty$$
Define
$$X = \bigcap_{i=1}^\infty \left( \bigcup_{j=i}^\infty X_j \right)$$
Prove that m(X) =... | 2017-08-19T21:17:32 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://math.stackexchange.com/questions/2430691/jacobian-determinant-for-bi-linear-quadrilaterals | # Jacobian determinant for bi-linear Quadrilaterals
Mapping from a square $\left[-\frac{1}{2},\frac{1}{2}\right]\times\left[-\frac{1}{2},\frac{1}{2}\right]$ with local coordinate system $\,(\xi,\eta)\,$ to an arbitrary quadrilateral with global coordinates $\,(x,y)\,$ and bi-linear interpolation can be visualized as:
... | 2021-05-10T08:58:24 | {"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/how-do-you-write-the-expression-for-the-nth-term-of-the-geometric-sequence-a-4-1 | # How do you write the expression for the nth term of the geometric sequence a_4=-18, a_7=2/3, n=6?
Mar 5, 2017
${a}_{n} = 486 {\left(- \frac{1}{3}\right)}^{n - 1}$
#### Explanation:
$\text{The nth term for a geometric sequence is}$
• a_n=ar^(n-1)" where a is the 1st term"
To obtain the nth term for the given seq... | 2020-03-31T17:43:39 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 11, "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.maplesoft.com/support/help/Maple/view.aspx?path=numtheory/cfrac | numtheory/cfrac(deprecated) - Help
numtheory
cfrac
compute a regular or simple continued fraction expansion
Calling Sequence cfrac(ex_numeric, n, con, den, 'quotients') cfrac(ex_numeric, n, con, den, 'centered', 'quotients') cfrac(ex_numeric, 'periodic', 'quotients') cfrac(ex_rat, x, n, form_rational, 'quotients'... | 2016-08-26T11:57:49 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 44, "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/1847147/prove-that-if-left-x-n-right-converges-then-left-leftx-n-right/1847171 | # Prove that if $\left\{ x_{n}\right\}$ converges then $\left\{ \left(x_{n}\right)^{2}\right\}$ converges.
Good night. I have a problem with this problem. I tried the following:
Proof:
Let $\left\{ x_{n}\right\}$ be a convergent sequence. By definition:
$\mid x_{n}-x\mid<\epsilon$
Then:
$\mid\mid x_{n}\mid-\mid x... | 2019-05-19T20:38:09 | {"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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://wikien4.appspot.com/wiki/Transpose | # Transpose
The transpose AT of a matrix A can be obtained by refwecting de ewements awong its main diagonaw. Repeating de process on de transposed matrix returns de ewements to deir originaw position, uh-hah-hah-hah.
In winear awgebra, de transpose of a matrix is an operator which fwips a matrix over its diagonaw; d... | 2021-01-23T11:31:58 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 19, "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://mathoverflow.net/revisions/43381/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).
2 removed trivial sign issue
More precisely, what real numbers $r$ have the following property: for any $\epsilon > 0$ there exist infinitely many pairs $(p, q)$ of ... | 2013-06-18T23:46:57 | {"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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://socratic.org/questions/how-do-functional-groups-affect-organic-molecules | How do functional groups affect organic molecules?
Sep 24, 2015
Functional groups determine the identity of organic molecules
Explanation:
Functional groups are very important in organic chemistry since they determine the identity of these molecules and therefore, depict the chemical and physical properties of them... | 2020-09-28T16:42:59 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 25, "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... |
http://www.ilovestats.org/the-binomial-distribution/ | ## The binomial distribution
I think the binomial distribution is the most fun of all distributions. In this section you will need your skills in probability theory. Here I elaborate on the example about Heads and Tails. The binomial distribution can for example be used to check if a coin really is fair; is the probab... | 2018-05-22T15:33:19 | {"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": 30, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://rwjt.auus.pw/how-to-find-supply-and-demand-equations.html | # How To Find Supply And Demand Equations
Suppose the supply and demand for a certain textbook are given by supply p+1/3q^2, demand =-1/3q^2+40, where p is price and q is quantity. Inverse demand equation. Substituting P = 5 back into either the supply or the demand equation and solving for Q, Q = 50. quantity is Q*. ... | 2019-12-10T02:27:39 | {"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": 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/dcds.2001.7.85 | # American Institute of Mathematical Sciences
January 2001, 7(1): 85-90. doi: 10.3934/dcds.2001.7.85
## On Chenciner-Montgomery's orbit in the three-body problem
1 School of Mathematics, University of Minnesota, Minneapolis, MN 55455, United States
Received June 2000 Revised September 2000 Published November 2... | 2020-11-27T14:47:43 | {"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... |
http://pjbull.github.io/civil_conflict/simulation.html | ## Modeling and Simulating Political Violence and Optimizing Aid Distribution in Uganda
### Simulating events in space and time
#### Events in space
The violence and civil conflict events described in the ACLED dataset are coded with both a latitude and a longitude. One assumption we make is that these events are di... | 2017-09-23T03:44:14 | {"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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://groupprops.subwiki.org/wiki/Transfer-closed_characteristicity_is_transitive | # Transfer-closed characteristicity is transitive
This article gives the statement, and possibly proof, of a subgroup property (i.e., transfer-closed characteristic subgroup) satisfying a subgroup metaproperty (i.e., transitive subgroup property)
View all subgroup metaproperty satisfactions | View all subgroup metapro... | 2020-12-02T18:45:24 | {"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://dsp.stackexchange.com/questions/linked/741?sort=hot | 5k views
### What happens when N increases in N-point DFT [duplicate]
I am curious about DFT, and I wrote a simple MATLAB code to test what happens when $N$ increases. I took a rectangular signal with length $L=15$, an then found th DFT of 16, 32 and 64 points. I looked ...
567 views
### What does it mean when you z... | 2020-08-14T05:43:29 | {"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://mathhelpboards.com/threads/prove-the-summation-identity.4481/ | # TrigonometryProve the summation identity.
#### anemone
##### MHB POTW Director
Staff member
Hi,
I have been trying to solve this difficult problem for some time and I thought of at least two ways to prove it but to no avail...the second method that I thought of was to employ binomial expansion on the denominator a... | 2021-06-23T05:49:08 | {"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": 2, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.physicsforums.com/threads/find-direction-of-tangent-line-to-equation.572056/ | # Find direction of tangent line to equation
## Homework Statement
Find the direction of the line tangent to the curve $x^4+y^4=32$ at the point $(2, -2)$
## Homework Equations
Anything goes, we're in vector calculus now.
## The Attempt at a Solution
So, to find the tangent line, I was thinking of taking the grad... | 2021-09-22T05:37:02 | {"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://zbmath.org/?q=an:0882.54005 | # zbMATH — the first resource for mathematics
Arcwise connectedness of the complement in a hyperspace. (English) Zbl 0882.54005
Let $$X$$ be a (metrizable) continuum and $$C(X)$$ be its hyperspace of non-degenerate subcontinua. It is known that $$C(X)$$ is arcwise connected. In this interesting paper the author shows ... | 2021-09-16T18:25:14 | {"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": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://fun-phys.blogspot.kr/2016/06/standing-waves-in-open-end-air-columns.html | # Standing Waves in Open End Air Columns
#### Quiz
Q) A pipe open at both ends resonates at a fundamental frequency $\ f_{open}.$ When one end is covered and the pipe is again made to resonate, the fundamental frequency is $\ f_{closed}.$ Which of the following expressions describes how these two resonant requencies ... | 2017-05-23T16:46:21 | {"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... |
http://www.gmhydro.it/it/en/bearings/ | THRUST AND GUIDE BEARINGS
General Information
The turbine-generator unit presents remarkable masses under rotation and considerable inertia forces, that increase if masses are not balanced, come into play. The runner may be subject to lateral forces due to the asymmetric flow that strikes it and the generator may be ... | 2019-08-18T02:29:54 | {"extraction_info": {"found_math": true, "script_math_tex": 4, "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": 4, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://testbook.com/question-answer/a-hollow-shaft-of-16-mm-outside-diameter-and-12-mm--5f2563d034f3ba0d08b8d0de | # A hollow shaft of 16 mm outside diameter and 12 mm inside diameter is subjected to a torque of 40 N-m. The shear stress at the outside and inside of the material of the shaft are respectively
This question was previously asked in
ESE Civil 2014 Paper 1: Official Paper
View all UPSC IES Papers >
1. 62.75 N/mm2 and 50... | 2021-10-19T18:59:13 | {"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://math.stackexchange.com/questions/linked/1568696 | 9k views
237 views
### If $\sum a_n$ is a convergent series with $S = \lim s_n$, where $s_n$ is the nth partial sum, then $\lim_{n \to \infty} \frac{s_1+…+s_n}{n} = S$ [duplicate]
Let $\sum a_n$ be a convergent series, and let $S = \lim s_n$, where $s_n$ is the nth partial sum. I need to prove the following: $\lim_{... | 2019-08-24T07:51:46 | {"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... |
https://www.physicsforums.com/threads/estimate-the-total-harmonic-distortion-present.882954/ | # Estimate the total harmonic distortion present
1. Aug 24, 2016
### Hndstudent
• Thread moved from the technical forums, so no Homework Help Template is shown.
The supply current was sampled 1024 times over a very short time interval. The data so obtained is given in column B of the accompanying Excel worksheet1. T... | 2017-11-22T02:31:54 | {"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/differential-geometry/111861-homeomorphism.html | # Math Help - Homeomorphism
1. ## Homeomorphism
Show that (a,b) is homeomorphic to R..
Thank you in advance
2. Originally Posted by math.dj
Show that (a,b) is homeomorphic to R..
Thank you in advance
You've left out a lot! Are we to assume that (a, b) is an interval in R with the "usual topology"? If so, you basic... | 2014-04-18T22:59:14 | {"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": 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/3476746/why-is-this-piece-wise-function-differentiable-at-the-point-x-0 | # Why is this piece-wise function differentiable at the point $x=0$?
I am given the following function:
$$f : \mathbb{R} \rightarrow \mathbb{R} \hspace{2cm}$$
$$f(x) = \left\{ \begin{array}{ll} x^2 \sin(\frac{1}{x}) & \quad x \neq 0 \\ 0 & \quad x = 0 \end{array} \right.$$
And I do not understand why this function ... | 2021-08-01T21:42:13 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://quant.stackexchange.com/questions/43873/alternative-method-for-determining-option-implied-pdf | # Alternative Method for Determining Option-Implied pdf
As I am refining a pricing model to incorporate skew, and not just ATM volatilities, I need to create random realizations of the underlying consistent with the skew-implied pdf. When searching, one ends up with the Breeden-Litzenberger formula, which states that:... | 2020-11-27T03:45:19 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://physics.stackexchange.com/questions/149018/does-the-lagrangian-contain-all-the-information-about-the-representations-of-the | # Does the lagrangian contain all the information about the representations of the fields in QFT?
Given the Lagrangian density of a theory, are the representations on which the various fields transform uniquely determined?
For example, given the Lagrangian for a real scalar field $$\mathscr{L} = \frac{1}{2} \partial_... | 2019-08-21T22:34:53 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://paradigms.oregonstate.edu/problem/757/ | ## Magnetic susceptibility
• Paramagnet Magnetic susceptibility
• assignment Paramagnetism
assignment Homework
##### Paramagnetism
Energy Temperature Paramagnetism Thermal and Statistical Physics 2020 Find the equilibrium value at temperature $T$ of the fractional magnetization $$\frac{\mu_{tot}}{Nm} \equiv \frac{2\... | 2022-11-30T21:11:06 | {"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": 2, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.enotes.com/homework-help/integrate-the-indefinite-integral-int-3x-3--x-2-3061767 | Integrate the indefinite integral. \int (3x^(3)-x^(2)+6x-4)/((x^(2)+1)(x^(2)+2))dx
First, we should represent the function under the integral as a sum of partial fractions. Then it will integrate easily using arctangent and/or logarithm.
The decomposition should exist in the form
( 3x^3 - x^2 + 6x - 4 ) / ( ( x^2 + ... | 2023-01-31T07:51:53 | {"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... |
http://www.mathnet.ru/php/archive.phtml?wshow=paper&jrnid=mzm&paperid=13194&option_lang=eng | Matematicheskie Zametki
RUS ENG JOURNALS PEOPLE ORGANISATIONS CONFERENCES SEMINARS VIDEO LIBRARY PACKAGE AMSBIB
General information Latest issue Forthcoming papers Archive Impact factor Subscription Guidelines for authors License agreement Submit a manuscript Search papers Search references RSS Latest is... | 2022-01-17T00:41:16 | {"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://mathoverflow.net/questions/97651/lindel%c3%b6f-subsets-of-p-spaces | # Lindelöf subsets of $P$-spaces
A completely regular topological space $(X,\tau)$ is called a $P$-space, if every $G_\delta$-subset of $X$ is open. (i.e $\tau$ is closed under countable intersection). Here we recall some special properties of $P$-spaces:
• Every countable subset of $X$ is obviously closed and discre... | 2015-05-23T04:46:56 | {"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": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://mathshistory.st-andrews.ac.uk/HistTopics/Greek_numbers/ | # Greek number systems
There were no single Greek national standards in the first millennium BC. since the various island states prided themselves on their independence. This meant that they each had their own currency, weights and measures etc. These in turn led to small differences in the number system between diffe... | 2022-06-27T14:58:21 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 8, "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://red.magtech.org.cn/CN/10.13809/j.cnki.cn32-1825/te.2022.04.007 | • 方法理论 •
### 基于随机森林算法的低煤阶煤层气开发选区预测
1. 1.西安科技大学地质与环境学院,陕西 西安 710054
2.煤与煤层气共采技术国家重点实验室,山西 晋城 048000
3.陕西煤层气开发利用有限公司,陕西 西安 710065
4.自然资源部煤炭资源勘查与综合利用重点实验室,陕西 西安 710021
• 收稿日期:2022-04-12 出版日期:2022-08-26 发布日期:2022-09-02
• 通讯作者: 王丽雅 E-mail:cyxust@126.com;1308346025@qq.com
• 作者简介:陈跃（1988—）,男,博士,副教授,从事非常规天然气地质研究。地址：陕西省西安市雁塔中... | 2023-01-31T03:02:46 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://www.researchgate.net/publication/227629687_The_dipole_anisotropy_of_the_2_Micron_AllSky_Redshift_Survey | Article
# The dipole anisotropy of the 2 Micron All‐Sky Redshift Survey
Royal Observatory, Blackford Hill, Edinburgh, EH9 3HJ
(Impact Factor: 5.52). 05/2006; 368(4):1515 - 1526. DOI: 10.1111/j.1365-2966.2006.10243.x
Source: arXiv
ABSTRACT We estimate the acceleration on the Local Group (LG) from the 2 Micron All-Sky... | 2015-03-30T20:32:42 | {"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://sciforums.com/threads/validity-of-a-simple-logical-argument.161528/page-5 | # Validity of a simple logical argument
Discussion in 'General Philosophy' started by Speakpigeon, Jan 23, 2019.
?
## Is the argument valid?
Poll closed Feb 22, 2019.
54.5%
45.5%
0 vote(s)
0.0%
0 vote(s)
0.0%
1. ### parmaleeperipatetic artisanValued Senior Member
Messages:
3,193
That's why you need a fifth opt... | 2022-08-16T22:06:38 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://study.com/academy/answer/question-beasley-ball-bearings-paid-a-dividend-of-4-last-year-the-dividend-is-expected-to-grow-at-a-constant-rate-of-3-percent-over-the-next-five-years-the-required-rate-of-return-is-13-percent-t.html | # Question Beasley Ball Bearings paid a dividend of $4 last year. The dividend is expected to grow... ## Question: Question Beasley Ball Bearings paid a dividend of$4 last year. The dividend is expected to grow at a constant rate of 3 percent over the next five years. The required rate of return is 13 percent (this wil... | 2020-01-18T14:50:30 | {"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": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://repository.uantwerpen.be/link/irua/131920 | Publication
Title
Large pinning forces and matching effects in $YBa_{2}Cu_{3}O_{7-\delta}$ thin films with $Ba_{2}Y(Nb/Ta)O_{6}$ nano-precipitates
Author
Abstract
The addition of mixed double perovskite Ba2Y(Nb/Ta)O6 (BYNTO) to YBa2Cu3O7−δ (YBCO) thin films leads to a large improvement of the in-field current carrying... | 2017-06-25T08:59:59 | {"extraction_info": {"found_math": true, "script_math_tex": 2, "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://ieeexplore.ieee.org/xpl/topAccessedArticles.jsp?punumber=22 | # IEEE Transactions on Microwave Theory and Techniques
Includes the top 50 most frequently accessed documents for this publication according to the usage statistics for the month of
• ### Digital Beamforming-Based Massive MIMO Transceiver for 5G Millimeter-Wave Communications
Publication Year: 2018, Page(s):1 - 16
|... | 2018-06-21T10:43:58 | {"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": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://homework.cpm.org/category/CCI_CT/textbook/int2/chapter/8/lesson/8.1.1/problem/8-20 | ### Home > INT2 > Chapter 8 > Lesson 8.1.1 > Problem8-20
8-20.
Marty and Gerri are playing Pick a Tile, a game in which the player reaches into two bags. One bag contains square tiles and the other circular tiles. The bag with squares contains three yellow, one blue, and two red squares. The bag with circles has one ... | 2020-05-28T03:40:42 | {"extraction_info": {"found_math": true, "script_math_tex": 1, "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://tex.stackexchange.com/questions/418950/problems-with-colourful-exercise-environment-in-latex | # Problems with colourful exercise environment in latex
I create an exercise sheet with solutions and I would like to use the following colourful exercise environment that I also found on this blog :
\documentclass[a4paper,10pt,oneside]{article}
\usepackage[paper=a4paper,left=35mm,right=20mm,top=25mm,bottom=20mm]{geo... | 2020-04-01T21:43:49 | {"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://crypto.stackexchange.com/questions/8893/how-does-partial-key-escrow-work/8894 | # How does partial key escrow work?
It is being speculated that one of the ways that NSA leaker Edward Snowden may have created his "insurance policy" – distributing sensitive documents to various individuals with instructions to disseminate them should anything happen to him--is through the use of a partial key escro... | 2015-04-27T10:42:33 | {"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": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://en.wikibooks.org/wiki/Introduction_to_Chemical_Engineering_Processes/Steady_state_energy_balance | # Introduction to Chemical Engineering Processes/Steady state energy balance
## General Balance Equation Revisited
Recall the general balance equation that was derived for any system property:
${\displaystyle In-Out+Generation-Consumption=Accumulation}$
When we derived the mass balance, we did so by citing the law ... | 2017-01-24T15:09:13 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 16, "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://fourthfridays.org/Left%20Riemann%20Sum | Left Riemann Sum :: fourthfridays.org
24/12/2019 · The Riemann Sum formula provides a precise definition of the definite integral as the limit of an infinite series. The Riemann Sum formula is as follows: Below are the steps for approximating an integral using six rectangles: Increase the number of rectangles n to cre... | 2021-04-20T01:33:09 | {"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... |
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