url string | text string | date timestamp[s] | metadata string |
|---|---|---|---|
https://proofwiki.org/wiki/Central_Limit_Theorem | # Central Limit Theorem
## Theorem
Let $X_1, X_2, \ldots$ be a sequence of independent identically distributed random variables with:
Mean $E \left[{X_i}\right] = \mu \in \left({-\infty \,.\,.\, \infty}\right)$
Variance $V \left({X_i}\right) = \sigma^2 > 0$
Let:
$\displaystyle S_n = \sum_{i \mathop = 1}^n X_i$
Th... | 2015-07-29T02:33:55 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.rug.nl/news/2014/07/collow01-07-2014?lang=en | University of Groningenfounded in 1614 - top 100 university
# Colloquium Mathematics, Professor Rafael Ortega
01 July 2014
Date: Tuesday, July 1st 2014 Speaker: Professor Rafael Ortega Room: 5161.0293 (Bernoulliborg) Time: 16.00
Title: Periodic solutions of the forced pendulum: from existence to stability
Abstr... | 2021-08-04T20:25:18 | {"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://plainmath.net/3360/survey-of-4826-randomly-selected-young-adults-aged-asked-what-you-think | A survey of 4826 randomly selected young adults (aged 19 to 25) asked, "What do you think
Question
Two-way tables
A survey of 4826 randomly selected young adults (aged 19 to 25) asked, "What do you think are the chances you will have much more than a middle-class income at age 30?" The two-way table summarizes the re... | 2021-06-13T21:16:28 | {"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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://mathzsolution.com/why-are-smooth-manifolds-defined-to-be-paracompact/ | # Why are smooth manifolds defined to be paracompact?
The way I understand things, roughly speaking, the importance of smooth manifolds is that they form the category of topological spaces on which we can do calculus. The definition of smooth manifolds requires that they be paracompact. I’ve looked all over, but I hav... | 2023-01-27T14:14:30 | {"extraction_info": {"found_math": true, "script_math_tex": 26, "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://hal.in2p3.fr/in2p3-03042546 | # Strange Hadron Spectroscopy with Secondary KL Beam in Hall D
Abstract : We propose to create a secondary beam of neutral kaons in Hall D at Jefferson Lab to be used with the GlueX experimental setup for strange hadron spectroscopy. The superior CEBAF electron beam will enable a flux on the order of $1\times 10^4~K_L... | 2021-01-16T09:47:13 | {"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://stats.stackexchange.com/questions/143114/hypothesis-testing-if-not-a-p-value-in-mixed-effect-models-then-what | # Hypothesis testing: If not a p-value in mixed effect models, then what?
I've been working on a messy, repeated measures data set of endocrine data looking at a small group of variables (after eliminating several uninteresting contenders in exploratory data analysis), each of which is linked to a specific hypothesis ... | 2019-06-16T23:13:18 | {"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": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://neuronaldynamics.epfl.ch/online/errata.html | # First-edition Errata
### Notice
This is an ongoing collection of errata to the first edition of the Neuronal Dynamics textbook. Errata marked by a checkmark have been corrected in the online edition.
Should you find any errors, please write to Wulfram Gerstner.
# Part I.
• Ch2.S2: in Table (2.1), the equations fo... | 2017-09-22T15:26:56 | {"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... |
https://connectors.readthedocs.io/en/latest/tutorials/transfer_function.html | # 4.1. Measuring a transfer function (demonstrates the core functionalities)¶
This tutorial walks through a simple example of determining a transfer function with processing objects, that are connected with the functionalities of the Connectors package.
## 4.1.1. What is a transfer function¶
A transfer function desc... | 2022-07-06T23:06:05 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://en.wikipedia.org/wiki/Haefliger_structure | # Haefliger structure
In mathematics, a Haefliger structure on a topological space is a generalization of a foliation of a manifold, introduced by Haefliger (1970, 1971). Any foliation on a manifold induces a Haefliger structure, which uniquely determines the foliation.
## Definition
A Haefliger structure on a space... | 2016-08-31T14:42:41 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 5, "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.simscale.com/docs/simulation-setup/boundary-conditions/volume-heat-flux/ | Required field
Required field
Required field
Required field
Documentation
# Volume Heat Flux
The volume heat flux boundary condition acts like a volumetric heat source. This type of boundary condition is used for analysis types involving heat transfer. The figure below shows the necessary input parameters:
Users sh... | 2022-10-04T03:32:39 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 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.2015.35.353 | # American Institute of Mathematical Sciences
January 2015, 35(1): 353-365. doi: 10.3934/dcds.2015.35.353
## Contribution to the ergodic theory of robustly transitive maps
1 Departamento de Matemática, Facultad de Ciencias, La Hechicera, Universidad de los Andes Mérida, 5101 2 Departamento de Matemática, Universid... | 2020-11-26T21:37:45 | {"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://theoreticalatlas.wordpress.com/category/higher-dimensional-algebra/ | ### higher dimensional algebra
So I spent a few weeks at the Erwin Schrodinger Institute in Vienna, doing a short residence as part of the program “Modern Trends in Topological Quantum Field Theory” leading up to a workshop this week. There were quite a few interesting talks – some on topics that I’ve written about el... | 2014-03-11T05:28:10 | {"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": 838, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/m... |
https://cms.math.ca/10.4153/CMB-2016-063-5 | location: Publications → journals → CMB
Abstract view
# Degree Kirchhoff Index of Bicyclic Graphs
Published:2016-10-11
Printed: Mar 2017
• Zikai Tang,
College of Mathematics and Computer Science , Hunan Normal University, Changsha, Hunan 410081, P. R. China
• Hanyuan Deng,
College of Mathematics and Computer Science... | 2018-08-21T11:27:01 | {"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://ncatlab.org/nlab/show/Sobolev%20space | Contents
# Contents
## Idea
If $1\leq p \lt \infty$ and $\Omega$ is a domain (in a $n$-dimensional real space with easy generalization to manifolds), one first considers the Lebesgue spaces $L_p = L_p(\Omega)$ (wikipedia) of (equivalence classes of) measurable (complex- or real-valued) functions $f$ whose (absolute ... | 2021-10-24T21:54:25 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 20, "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.purplemath.com/learning/viewtopic.php?p=371 | ## Please refresh my memory on exponential stuff
Limits, differentiation, related rates, integration, trig integrals, etc.
### Please refresh my memory on exponential stuff
If i am taking the dot product of for example < e^(x) , sqrt(2) , -e^(-x) > DOT < e^(x) , 0 , e^(-x) >
when i am multiplying the e^x terms do t... | 2014-04-19T20:20:44 | {"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": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 3, "/images/mat... |
https://mathematica.stackexchange.com/questions/208710/how-can-i-always-get-one-option-of-coordinates-of-the-points-a-b-c-d-and-x-o | How can I always get one option of coordinates of the points A, B, C, D, and X of the Problem 6 in IMO 2018?
This is the Problem 6 of IMO 2018 https://www.imo-official.org/problems.aspx
I use the code at Mapleprimes (with some prepairs) https://www.mapleprimes.com/questions/228162-How-Can-I-Get-One-Option-Coordinates... | 2020-05-28T05:02:07 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.physicsforums.com/threads/proving-a-property-of-the-dirac-delta-function.717435/ | # Proving a property of the dirac delta function
1. Oct 19, 2013
### skate_nerd
1. The problem statement, all variables and given/known data
Prove this theorem regarding a property of the Dirac Delta Function:
$$\int_{-\infty}^{\infty}f(x)\delta'(x-a)dx=-f'(a)$$
(by using integration by parts)
2. Relevant equations... | 2018-01-21T11:10:40 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://indico.cern.ch/event/868940/contributions/3816986/ | # ICHEP 2020
28 July 2020 to 6 August 2020
virtual conference
Europe/Prague timezone
## Phenomenological study of keV scale sterile neutrino dark matter with $S_4$ flavor symmetry
29 Jul 2020, 13:42
3m
virtual conference
#### virtual conference
Poster 02. Neutrino Physics
### Speaker
Ms Nayana Gautam (Tezpur Uni... | 2021-05-07T04:16:29 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.bartleby.com/solution-answer/chapter-16-problem-8p-fundamentals-of-financial-management-mindtap-course-list-15th-edition/9781337395250/current-assets-investment-policy-rentz-corporation-is-investigating-the-optimal-level-of-current/8993609f-efad-11e8-9bb5-0ece094302b6 | Chapter 16, Problem 8P
### Fundamentals of Financial Manageme...
15th Edition
Eugene F. Brigham + 1 other
ISBN: 9781337395250
Chapter
Section
### Fundamentals of Financial Manageme...
15th Edition
Eugene F. Brigham + 1 other
ISBN: 9781337395250
Textbook Problem
# CURRENT ASSETS INVESTMENT POLICY Rentz Corporation... | 2019-10-21T15:06:01 | {"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://yutsumura.com/tag/determinant/?wpfpaction=add&postid=5208 | # Tagged: determinant
## Problem 596
Let
$A=\begin{bmatrix} a & b\\ -b& a \end{bmatrix}$ be a $2\times 2$ matrix, where $a, b$ are real numbers.
Suppose that $b\neq 0$.
Prove that the matrix $A$ does not have real eigenvalues.
## Problem 548
An $n\times n$ matrix $A$ is said to be invertible if there exists an $n\... | 2020-06-06T14:47:22 | {"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": 2, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.dml.cz/handle/10338.dmlcz/140615 | Article
Full entry | PDF (0.2 MB)
Keywords:
neutral type difference equation; third order difference equation; nonoscillatory solutions; asymptotic behavior
Summary:
In the paper we consider the difference equation of neutral type $$\Delta ^{3}[x(n)-p(n)x(\sigma (n))] + q(n)f(x(\tau (n)))=0, \quad n \in \Bbb N (n_0)... | 2023-01-29T06:52:57 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 2, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://www.physicsforums.com/showthread.php?t=229819 | Sinusoidal Wave Problem
by jpond89
Tags: sinusoidal, wave
P: 3 1. The problem statement, all variables and given/known data Consider the sinusoidal wave in the figure, with the wave function below. At a certain instant, let point A be at the origin and point B be the first point along the x axis where the wave is 60.... | 2014-03-09T16:29:05 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://stats.stackexchange.com/questions/213927/simulating-qualitative-interaction-in-survival-analysis | # Simulating qualitative interaction in survival analysis
I am trying to simulate the survival data that can fit the model:
$$h(x) = ho(x) exp (a_0*Treatment + a_1*Treatment*x_1 + a_2*Treatment*x_2)$$
Whereas treatment is an binary variable (0 = control treatment, 1 = experimental treatment). $x_1$ and $x_2$ are als... | 2020-01-18T22:53:12 | {"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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://math.stackexchange.com/questions/521830/an-ergodic-theorem-on-the-circle | # An ergodic theorem on the circle
Let $S^1$ be a circle (i.e. a closed $1$-dim. manifold) and let $F$ be a non-vanishing smooth vector field on $S^1$. Denote by $(t,x) \mapsto \Phi_t^x$ the flow generated by $F$.
I want to show that there exists an absolutely continuous probability measure $\pi$ with strictly positi... | 2019-09-22T02:16:38 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.mathdoubts.com/log-quotient-rule/ | Quotient Law of Logarithms
Formula
$\log_{b}{\Big(\dfrac{m}{n}\Big)}$ $\,=\,$ $\log_{b}{m}-\log_{b}{n}$
The logarithm of quotient of two quantities is equal to difference of their logs is called the quotient rule of logarithms.
Proof
Learn how to prove logarithm of quotient of two is equal to subtraction of their ... | 2018-10-17T10:21:06 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.esaral.com/q/determine-the-values-of-a-b-c-for-which-the-function-16830/ | Determine the values of a, b, c for which the function
Question:
Determine the values of abc for which the function
$f(x)=\left\{\begin{array}{cl}\frac{\sin (a+1) x+\sin x}{x}, & \text { for } x<0 \\ c & , \quad \text { for } x=0 \text { is continuous at } x=0 . \\ \frac{\sqrt{x+b x^{2}}-\sqrt{x}}{b x^{3 / 2}}, & \te... | 2022-05-16T08:03:56 | {"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://www.physicsforums.com/threads/calculating-approx-values-in-km3-m3-cubic-miles-and-gallons.634719/ | Calculating approx. Values in km3, m3, cubic miles, and gallons
Homework Statement
Earth’s radius is 6370 km and approximately 70% of
its surface is covered with water, to an average depth
of 12,000 feet. Calculate the approximate volume, in
km
3
, m
3
, cubic miles and gallons of Earth’s oceans.
The Attempt at a So... | 2021-01-24T00:07:10 | {"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://www.bionicturtle.com/forum/threads/t3-15-commodity-cost-of-carry-storage-cost.22428/ | What's new
# YouTubeT3-15: Commodity Cost of Carry: Storage Cost
#### Nicole Seaman
Staff member
Subscriber
In the cost of carry (COC) model, storage cost is treated like negative income. If we reduce the total storage cost over the life of the futures contract, given by (U), then the theoretical futures price is gi... | 2021-04-16T17:44:00 | {"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://math.stackexchange.com/questions/1125085/is-every-invariant-subspace-the-kernel-of-an-polynomial-applied-in-the-operator | # Is Every Invariant Subspace the Kernel of an polynomial applied in the operator?
Let $V$ be a finite-dimensional $K$-vector space and let $T$ be a linear operator from $V$ to $V$.
I already proved that for every polynomial $p(x) \in K[x]$, $\ker p(T)$ and $Im p(T)$ are $T$-invariant. Is it true that for every $W$ p... | 2020-05-29T23:53:50 | {"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": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.jobilize.com/trigonometry/test/key-concepts-geometric-sequences-by-openstax | # 13.3 Geometric sequences (Page 3/6)
Page 3 / 6
Given a geometric sequence with ${a}_{2}=4$ and ${a}_{3}=32$ , find ${a}_{6}.$
${a}_{6}=16,384$
## Writing an explicit formula for the n Th term of a geometric sequence
Write an explicit formula for the $n\text{th}$ term of the following geometric sequence.
The f... | 2020-02-20T18:26:43 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 26, "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://proofwiki.org/wiki/Definition:Transitive_Reduction | # Definition:Transitive Reduction
## Relation Theory
Let $\mathcal R$ be a relation on a set $S$.
A transitive reduction of $\mathcal R$ is denoted $\mathcal R^-$, and is defined as a minimal relation on $S$ which has the same transitive closure as $\mathcal R$.
It is not guaranteed that, for a general relation $\m... | 2019-09-23T07:28:03 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://math.stackexchange.com/questions/2346740/does-the-squeeze-theorem-apply-to-lim-x-to-infty-sin-frac-pi-x2-3x | # Does the Squeeze Theorem apply to $\lim_{x\to\infty}\sin(\frac{\pi x}{2-3x})$?
I was recently asked to find the limit of $$\lim_{x\to\infty}\sin(\frac{\pi x}{2-3x}).$$ I eventually solved it by breaking the limit down to a composition of functions, but my first instinct was actually to invoke the Squeeze Theorem. My... | 2021-06-20T01:06:45 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://phys.libretexts.org/Bookshelves/Electricity_and_Magnetism/Electricity_and_Magnetism_(Tatum)/05%3A_Capacitors/5.06%3A_Capacitors_in_Series | $$\require{cancel}$$
# 5.6: Capacitors in Series
$$\text{FIGURE V.6}$$
The charge is the same on each, and the potential difference across the system is the sum of the potential differences across the individual capacitances. Hence
$\dfrac{1}{C}=\dfrac{1}{C_1}+\dfrac{1}{C_2}+\dfrac{1}{C_3}.\label{5.6.1}$
This pag... | 2022-08-07T18:33:36 | {"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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://qm2005.kfki.hu/archive/parallel/ANakamura/abstract_ANakamura.html | Viscosity of Hot Gluon: A Lattice QCD Stuty
Presenting Author: Prof. Atsushi Nakamura
Author(s): A. Nakamura and S. Sakai
Abstract:
RHIC is now confirming the discovery of the "New State of Matter", which is far from the free gas state, and should have very small viscosity in order to explain the present success of... | 2021-06-21T13:36:10 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://www.koreascience.or.kr/article/JAKO199511919481565.page | # ON SUBMANIFOLDS OF A SPHERE WITH BOUNDED SECOND FUNDAMENTAL FORM
• Published : 1995.02.01
#### Abstract
Let $S^{n+p}$(c) be the (n + p)-dimensional Euclidean sphere of constant curva ture c and let M be an n-dimensional compact minimal submanifold isometric ally immersed in $S^{n+p}$(c). Let $A_\xi$ be the second ... | 2021-03-05T20:29:59 | {"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... |
http://mathhelpforum.com/advanced-statistics/90154-lognormal-distribution.html | # Math Help - lognormal distribution
1. ## lognormal distribution
Hi all, i have a few parts to a question that I'm not too sure about, and i was wondering if anyone could help me out.
I'm having trouble deriving the E(X) of the log normal distribution.
I believe i should be using moment generating functions of the... | 2015-07-04T21:33:18 | {"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": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 33, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://www.catalyzex.com/paper/arxiv:1702.03584 | Get our free extension to see links to code for papers anywhere online!
# Similarity Preserving Representation Learning for Time Series Analysis
Mar 09, 2017
Qi Lei, Jinfeng Yi, Roman Vaculin, Lingfei Wu, Inderjit S. Dhillon
A considerable amount of machine learning algorithms take instance-feature matrices as their... | 2021-06-14T17:20:59 | {"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://joningram.org/questions/Trigonometry/327212 | # Solve for x tan(x)=1.5
Solve for x tan(x)=1.5
Take the inverse tangent of both sides of the equation to extract from inside the tangent.
Evaluate .
The tangent function is positive in the first and third quadrants. To find the second solution, add the reference angle from to find the solution in the fourth quadrant.... | 2022-09-30T09:22:59 | {"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.electropedia.org/iev/iev.nsf/IEVref_xref/en:102-03-18 | IEVref: 102-03-18 ID: Language: en Status: backup Term: Hermitian product Synonym1: Synonym2: Synonym3: Symbol: Definition: complex scalar, denoted by $U\cdot {V}^{*}$, attributed to any pair of vectors U and V in a complex vector space by a given function, with the following properties: $V\cdot {U}^{*}={\left(U\cdot {... | 2019-10-16T04:26:14 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 28, "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://jacobfv.github.io/blog/2021/multi-environment-learning/ | Multi-environment learning extends the single environment RL paradigm to multiple environments. It’s like multiagent learning – except your only controlling one agent in multiple environments. In this paradigm, the policy $\pi : o_1, o_2, \dots \rightarrow a_1, a_2, \dots$ takes an observation $o_1, o_2, \dots$ from di... | 2022-12-09T23:17:43 | {"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": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://openreview.net/forum?id=kEwzoI3Am4c | ## A deep learning approach to recover conditional independence graphs
24 Sept 2022, 19:02 (modified: 22 Nov 2022, 06:46)NeurIPS 2022 GLFrontiers WorkshopReaders: Everyone
Keywords: Graphical Lasso, Deep Learning, Unrolled algorithms, Deep unfolding, Conditional Independence graphs, Sparse graphs
TL;DR: An unsupervise... | 2023-03-24T21:58:41 | {"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... |
http://myperiodictable.us/wp-content/themes/tkrtxuyllv/vtor2/page.php?tag=07eb88-factoring-notes-algebra-1 | Okay since the first term is $${x^2}$$ we know that the factoring must take the form. means of the most recent email address, if any, provided by such party to Varsity Tutors. This is exactly what we got the first time and so we really do have the same factored form of this polynomial. There are rare cases where this c... | 2022-05-19T18:46:33 | {"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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://gmachine1729.livejournal.com/189300.html | # A note regarding the inverse of a Lorentz transformation and its representation in Einstein notation
Originally published at 狗和留美者不得入内. You can comment here or there.
I can remember the velocity addition formula corresponding to Lorentz transformations along a single dimension, , off the top of my head. It might mi... | 2021-07-23T22:12:08 | {"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.essentialmath.com/blog/?m=200412 | Essential Math WeblogThoughts on math for games
12/29/2004
Errata: Tensor Product
Filed under: Erratical,Mathematical — Jim @ 10:31 pm
William Brennan points out that on page 84, the equation
$(\mathbf{u}\bullet\mathbf{v})\mathbf{w} = \mathbf{u}(\mathbf{v}\otimes\mathbf{w})$
is not correct. There are two ways to ... | 2016-10-26T11:11:38 | {"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": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 6, "/images/mat... |
http://christwire.org/u5m74e/how-to-calculate-weight-vector-in-svm-c63aba | E.g., if outliers are present (and have not been removed). Confirm that the program gives the same solution as the text. Then we have x Finding the best fit, ||w||/2, is well understood, though finding the support vectors is an optimization problem. Menu. Support Vectors: Input vectors that just touch the boundary of t... | 2021-08-04T21:11:06 | {"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": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://everipedia.org/wiki/lang_en/Deep_learning/ | Deep learning (also known as deep structured learning or hierarchical learning ) is part of a broader family of machine learning methods based on learning data representations, as opposed to task-specific algorithms. Learning can be supervised, partially supervised or unsupervised. [6] [9] [11]
Some representations ar... | 2019-01-24T05:37:34 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 2, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://cs.stackexchange.com/questions/97490/can-we-prove-using-pumping-lemma-that-language-f-a-i-b-j-c-k-i-j-k-%E2%89%A5 | # Can we prove using pumping lemma that language F = {$a^ i b ^j c ^k$ | i, j, k ≥ 0 and if i = 1 then j = k} is not regular?
I am currently solving a problem in which we have to show that we can not prove using pumping lemma that the language mentioned in the question is not regular.Here is the full question
Conside... | 2021-05-10T04:24:29 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.semanticscholar.org/paper/Suppression-of-quantum-scattering-in-strongly-Kim-Melezhik/14fc02a4c84e384c3a9f3cb506eb0746c502d1bb | # Suppression of quantum scattering in strongly confined systems.
@article{Kim2006SuppressionOQ,
title={Suppression of quantum scattering in strongly confined systems.},
author={J. I. Kim and Vladimir S. Melezhik and Peter Schmelcher},
journal={Physical review letters},
year={2006},
volume={97 19},
pages={
193203
}
}
... | 2023-02-09T13:45:10 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://connection.ebscohost.com/c/articles/9818056/oxygen-titanium-nitride-diffusion-barriers | TITLE
Oxygen in titanium nitride diffusion barriers
AUTHOR(S)
Sinke, W.; Frijlink, G. P. A.; Saris, F. W.
PUB. DATE
September 1985
SOURCE
Applied Physics Letters;9/1/1985, Vol. 47 Issue 5, p471
SOURCE TYPE
DOC. TYPE
Article
ABSTRACT
Oxygen has been found to play a dominant role in TiN barrier performance between Si(1... | 2020-06-03T13:00:45 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://cstheory.stackexchange.com/questions/5080/empirical-results-in-cs-papers/5104 | # Empirical results in CS papers
I'm new to the CS field and I have noticed that in many of the papers that I read, there are no empirical results (no code, just lemmas and proofs). Why is that? Considering that Computer Science is a science, shouldn't it follow the scientific method?
• The short answer is that "comp... | 2020-01-24T10:47:45 | {"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://haadsonbeachresort.com/wildflowers-of-wzm/a1fd99-canonical-correlation-analysis-in-r | R.H. Riffenburgh, in Statistics in Medicine (Third Edition), 2012. Canonical correlation is a method of modelling the relationship between two sets of variables. Value. The core DIABLO method builds on the Generalised Canonical Correlation Analysis [1], which contrary to what its name suggests, generalises PLS for mult... | 2021-09-17T23:28:14 | {"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://en.wikiversity.org/wiki/Nonlinear_finite_elements/Homework4 | # Nonlinear finite elements/Homework 4
## Problem 1: Axially Loaded Bar with Nonlinear Modulus
In the learning resource section we have discussed the solution of the problem of a nonlinear axially loaded bar with a body load. A Matlab code for solving the problem with finite elements can also be found on the relevant... | 2020-09-24T15:19:32 | {"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... |
http://mathhelpforum.com/calculus/172917-differentiation-questions.html | 1. ## Differentiation Questions
Questions:
How do i do the part $sec^{-1}$
should the angle in $sec^{-1}$ be inverse of what it is because answer is (b) and it is only possible when y is some constant which will be using the identity $sin^{-1}x + cos^{-1}x$
2. Hello, cupid!
There's something wrong with the problem... | 2016-08-25T16:38:55 | {"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": 21, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://www.physicsforums.com/threads/overlapping-divergences.409089/ | # Overlapping divergences
1. Jun 9, 2010
### zetafunction
how can we treat overlapping divergences ? i mean integrals like
$$\int_{0}^{\infty} dx \int_{0}^{\infty}dy \frac{1+xy}{x+y+xy+1}$$
my idea is that in this case you can use polar coordinates $$x=rcos(u)$$ $$y=rsin(u)$$ , and then if you integrate over the a... | 2018-09-20T14:52:36 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://numpy.org/devdocs/reference/c-api/coremath.html | # NumPy core libraries#
Starting from numpy 1.3.0, we are working on separating the pure C, “computational” code from the python dependent code. The goal is twofolds: making the code cleaner, and enabling code reuse by other extensions outside numpy (scipy, etc…).
## NumPy core math library#
The numpy core math libr... | 2023-03-27T05:02:37 | {"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": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://zbmath.org/?q=an:1061.11035 | ## Modular forms, lattices and spherical designs.(English)Zbl 1061.11035
Martinet, Jacques (ed.), Euclidean lattices, spherical designs and modular forms. On the works of Boris Venkov. Genève: L’Enseignement Mathématique (ISBN 2-940264-02-3/pbk). Monogr. Enseign. Math. 37, 87-111 (2001).
Authors’ abstract: With the he... | 2022-07-04T21:07:32 | {"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": 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/3847388/exponents-and-log-properties | Exponents and Log properties
This is part of a proof I am working on.
So on one line, I needed to show that $$2^{\Bigg(\cfrac{\ln\frac{1}{n}}{\ln(2)}\Bigg)} =\frac{1}{n}$$
That was $$2$$ to the power of $$\ \ \cfrac{\ln\frac{1}{n}}{\ln(2)}$$
Now I tried to use the log/exponent cancellation techniques to no avail. I... | 2022-07-05T10:36:51 | {"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... |
https://byjus.com/questions/an-electron-is-revolving-around-a-proton-in-a-circular-orbit-of-diameter-1a-if-it-produces-a-magnetic-field-of-14-wb-m2-at-the-proton-then-its-angular-velocity-will-be-about/ | # An electron is revolving around a proton in a circular orbit of diameter 1A∘. If it produces a magnetic field of 14 Wb/m2 at the proton, then its angular velocity will be about
In a circular orbit with a diameter of 1A, an electron revolves around a proton. If we are asked to calculate the angular velocity of a prot... | 2022-06-25T08:12:13 | {"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/trigonometry/201339-problem-proof.html | Math Help - Problem with a proof
1. Problem with a proof
There is a problem in my book which I just cannot seem to figure out. It seems more like a mind game than any real math, but whatever. It is a short word description of a triangle inside a circle, and then two questions about it. Drawing it out will likely help... | 2015-08-04T11:15:44 | {"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://questioncove.com/updates/50bf4bdee4b0231994ec617b | The volume in cubic… - QuestionCove
OpenStudy (anonymous):
The volume in cubic feet of a box can be expressed as V(x)=x^3-5x^2+6x or as the product of three linear factors with integer coefficients. The width of the box is 2 – x. a. Factor the polynomial to find linear expressions for the height and the width. b. Grap... | 2017-10-19T21:41:27 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://ekonomitorget.se/g7ijg5b/structure-of-methane-hybridization-24e5ee | # structure of methane hybridization
HARD. Only 2 orbitals are available to form 2 bonds (4 orbitals with unpaired electrons are ⦠... Do all Noether theorems have a common mathematical structure? sp3 hybrid orbitals look a bit like half a p orbital, and they arrange themselves in space so that they are as far apart... | 2021-10-20T09:30:03 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://encyclopediaofmath.org/index.php?title=Harnack_integral&oldid=47188 | # Harnack integral
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
A generalization of the improper Riemann integral on the class of functions $f$ whose set of unboundedness points $E _ {f}$ has Jordan measure zero, and which are Riemann integrable on any segment not containing points of $E... | 2022-01-20T11:45:43 | {"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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.projecteuclid.org/euclid.jsl/1183745581 | ## Journal of Symbolic Logic
### Completions of PA: Models and Enumerations of Representable Sets
Alex M. McAllister
#### Abstract
We generalize a result on True Arithmetic ($\mathscr{TA}$) by Lachlan and Soare to certain other completions of Peano Arithmetic ($\mathscr{PA}$). If $\mathscr{T}$ is a completion of $\... | 2019-12-08T05:03:16 | {"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://math.stackexchange.com/questions/2646943/show-that-if-lim-limits-j-to-infty-b-j-beta-and-beta-0-then-exi | # Show that if $\lim\limits_{j \to \infty} b_j = \beta$ and $\beta < 0$ then $\exists$ $N > \mathbb{N}$ such that j > N $\Rightarrow$ $b_j < 0$.
Hi I'm taking Analysis I.
I'm trying to solve the following:
Show that if $\lim\limits_{j \to \infty} b_j = \beta$ and $\beta < 0$ then $\exists$ $N > \mathbb{N}$ such that... | 2019-06-18T00:57:40 | {"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... |
http://www.math.nsc.ru/publishing/DAOR/content/2008/03en/03-11.html | EN|RU Volume 15, No 3, 2008, P. 11-21 UDC 519.72 Yu. L. Vasil´ev, S. V. Avgustinovich, and D. S. Krotov On mobile sets in the binary hypercube Abstract: If two distance-3 codes have the same neighborhood, then each of them is called a mobile set. In the $(4k+3)$-dimensional binary hypercube there exists a mobile set of... | 2017-10-21T12:20:02 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://math.stackexchange.com/questions/69998/inequality-involving-kl-divergence | # Inequality involving KL divergence
Following is a part of an answer which was not resolved when I tried to answer a question in mathoverflow. I thought it would be nice to discuss that here.
Let $P$ and $Q$ be two distinct distributions on a finite set. For $0\le \lambda \le 1$, let $$L(\lambda)=D(P\|R_{\lambda})-D... | 2015-07-30T08:39:32 | {"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://newproxylists.com/tag/abstract/ | ## abstract algebra – Let $phi: mathbb {Z} _7 times mathbb {Z} _7$ be a homomorphism such that $phi ^ 5 = text {id}$. Show that $phi$ is the identity.
Let $$phi: mathbb {Z} _7 times mathbb {Z} _7 to mathbb {Z} _7 times mathbb {Z} _7$$ to be a homomorphism such as $$phi ^ 5 = text {id}$$. CA watch $$phi$$ is the identi... | 2019-08-23T01:46:54 | {"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://ncatlab.org/nlab/show/counterexample | Contents
Contents
Idea
In mathematics, a counterexample is an example for the negation of a statement.
A counterexample to a conjecture is a way to satisfy the hypotheses of the conjecture such that the conclusion is a contradiction.
In constructive mathematics one considers also “weak counterexamples”. See there ... | 2022-12-05T20:47:18 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 2, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathoverflow.net/questions/130637/question-about-gauss-composition-law-over-pid/137126 | # Question about Gauss composition law over PID.
Let $m$ be a square free integer, $\mathbb{Q}(\sqrt{m})$ a quadratic field extension of $\mathbb{Q}$, $\Delta$ is its discriminant and $O_{\mathbb{Q}(\sqrt{m})/\mathbb{Q}}$ its ring of integers. We have the following results (see Lenstra, On the calculation of regulator... | 2015-08-03T23:43:23 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://cosmicreflections.skythisweek.info/2020/06/25/geostationary-satellite-declinations/ | # Geostationary Satellite Declinations
A few years ago, I was doing some telescope sweeping of the meridian sky around declination -6˚ when, to my surprise and delight, a 10th- or 11th-magnitude slow-moving object entered my field of view. As it slowly traversed eastward through the field, I remembered the declination... | 2020-11-28T11:44:01 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 5, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.neetprep.com/question/51124-When-particle-mass-m-moving-velocity-v-bombards-heavy-nucleusof-charge-Ze-its-distance-closest-approach-nucleus-depends-m-asambmcmdm/126-Physics--Atoms/702-Atoms | When an $\alpha$-particle of mass m moving with velocity v bombards on a heavy nucleus of charge Ze, its distance of closest approach from the nucleus depends on m as:
(a)$\frac{1}{\sqrt{m}}$
(b)$\frac{1}{{m}^{2}}$
(c)m
(d)$\frac{1}{m}$
Concept Questions :-
Various atomic model
High Yielding Test Series + Question B... | 2020-05-28T22:12:22 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 15, "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.physicsforums.com/blog.php?do=list&m=3&y=2012&d=24 | ## A rigorous minimum assumption derivation of the Lorentz transformation
Posted Mar24-12 at 08:00 AM by Huang XingBin
Updated Apr5-12 at 07:42 PM by Redbelly98
Abstract
The available derivations of the Lorentz transformation (LT) are of questionable validity because they introduce some assumptions in addition to Ein... | 2013-05-19T10:44:01 | {"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://meetings.aps.org/Meeting/DFD06/SessionIndex3/?SessionEventID=56257 | ### Session OM: Turbulence Simulations V
Chair: Bamin Khomami, Washington University at St. Louis
Room: Tampa Marriott Waterside Hotel and Marina Meeting Room 10
Tuesday, November 21, 2006 12:15PM - 12:28PM OM.00001: ABSTRACT WITHDRAWN Tuesday, November 21, 2006 12:28PM - 12:41PM OM.00002: Simulation of the Rayleigh... | 2013-05-21T11:47:52 | {"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://cs.stackexchange.com/questions/93846/why-it-is-not-om-but-o-log-m | # Why it is not $O(m)$ but $O(\log m)$?
I am reading the lecture notes and have a question. I am trying to understand the beginning of Section 3 on page 2.
Problem: Given an input stream $\sigma$, compute (or approximate) its length $m$.
Naive solution: $O(\log m)$ bits, exact solution.
I don't understand why it is... | 2019-09-20T04:03:56 | {"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": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.physicsforums.com/threads/why-is-it-right-that-the-irrotational-flow-must-have-the-velocity-potential.587164/ | Why is it right that the irrotational flow must have the velocity potential?
1. Mar 15, 2012
Chuck88
When I am studying the ratation of the fluid, I found one sentence: "The irrotational flow must have the velocity potential." Why? Can someone tell me the derivation of this equation?
2. Mar 15, 2012
tiny-tim
Hi C... | 2017-10-24T08:19:20 | {"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://math.stackexchange.com/questions/284192/connection-between-euler-characteristic-and-degree-of-the-gauss-map/284248 | # Connection between Euler characteristic and degree of the Gauss map
Let $M\subset \mathbb{R}^n$ be a closed compact smooth oriantable manifold. Let $E\to M$ be the normal bundle of the embedding and $N\subset \mathbb{R}^n$ a (closed) tubular neighbourhood. $N$ is an $n$-manifold with boundary $\partial N$, an $(n-1)... | 2015-02-01T21:14:12 | {"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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.physicsforums.com/threads/pade-integration.182099/ | 1. Aug 29, 2007
### Sangoku
can we find for a well-behaved f(x) a Rational (Padé approximation) so
$$\int_{0}^{\infty}dx f(x) - \int_{0}^{\infty}dx Q(x) \approx 0$$ ??
Where Q(x) is a rational function, the main idea is that the integral for Q(x) can be performed exactly , whereas the initial integral of f(x) not.
... | 2017-03-29T17:33:56 | {"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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://math.stackexchange.com/questions/71593/deriving-fourier-series-using-complex-numbers-introduction | # Deriving fourier series using complex numbers - introduction
So I know that there exist a basis in $L^2$ which is a set of functions in the form $e^{inx}$. It turns out that this is an orthonormal basis. Also given any $f \in L^2$, there exists a sequence of complex numbers $(c_n)$ such that $$f = \sum_{n \in \mathb... | 2016-07-29T00:39:25 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://paperscut.com/page/0 | # PapersCutA shortcut to recent security papers
### Arxiv
#### Accuracy, Interpretability, and Differential Privacy via Explainable Boosting
Authors: Harsha Nori, Rich Caruana, Zhiqi Bu, Judy Hanwen Shen, Janardhan Kulkarni
Abstract: We show that adding differential privacy to Explainable Boosting Machines (EBMs), ... | 2021-06-20T00:33:32 | {"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://math.stackexchange.com/questions/1199103/quaternion-algebra-of-characteristic-2?noredirect=1 | # Quaternion algebra of characteristic 2?
I've been reading up on quaternion algebras recently and noticed the vast majority of theorems are contingent on setting the characteristic $p \neq 2$. In particular, this is true for the central theorem that all quaternions over the reals are either isomorphic to the 2x2 real... | 2019-07-21T17:57:06 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathhelpforum.com/pre-calculus/11674-hyperbola-problem.html | # Thread: Hyperbola problem
1. ## Hyperbola problem
Find the equation of the path that moves so that its distance from (4,0) is twice its distance from the line x = 1
2. Originally Posted by ^_^Engineer_Adam^_^
Find the equation of the path that moves so that its distance from (4,0) is twice its distance from the li... | 2016-09-29T08:55:57 | {"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://math.stackexchange.com/questions/673314/poisson-equation-on-a-torus | Poisson equation on a Torus
I need an example for a Poisson equation ($\triangle_S u = F$) on a torus. Specifically, i will appreciate a function F and its corresponding analytic solution ($u_{ex}$). Any reference will be ok.
• i found an example in this book – uli.xu Feb 25 '14 at 19:19 | 2019-11-21T01:38:55 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.physicsforums.com/threads/problem-with-fourier-transform.121333/ | # Problem with Fourier Transform
1. May 18, 2006
### dimensionless
Here's my problem:
I've got the Fourier transform of f(x) as
$$F(K) = \frac{1}{\sqrt{2\pi}} \int\limits_{-\infty}^\infty f(x) e^{-ikx} dx$$
Likewise for g(x) I have
$$G(K) = \frac{1}{\sqrt{2\pi}} \int\limits_{-\infty}^\infty g(x) e^{-ikx} dx$$
fo... | 2016-10-28T12:30:04 | {"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": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://www.perimeterinstitute.ca/video-library/collection/string-seminars?page=24 | # String Seminars
This series consists of talks in the area of Superstring Theory.
## Seminar Series Events/Videos
Currently there are no upcoming talks in this series.
## Black hole microstate counting and its macroscopic counterpart III
Friday Jul 09, 2010
Speaker(s):
In this talk I shall describe a general for... | 2016-06-26T23:41:12 | {"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.mathlearnit.com/what-is-1-49-as-a-decimal | # What is 1/49 as a decimal?
## Solution and how to convert 1 / 49 into a decimal
1 / 49 = 0.02
1/49 or 0.02 can be represented in multiple ways (even as a percentage). The key is knowing when we should use each representation and how to easily transition between a fraction, decimal, or percentage. Fractions and dec... | 2022-12-06T00:29:41 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://www.mathworks.com/help/symbolic/divergence.html?nocookie=true | Accelerating the pace of engineering and science
# divergence
Divergence of vector field
divergence(V,X)
## Description
divergence(V,X) returns the divergence of the vector field V with respect to the vector X in Cartesian coordinates. Vectors V and X must have the same length.
## Input Arguments
V Vector of sy... | 2014-12-22T07:22:11 | {"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": 0, "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/1915270/find-the-equation-of-the-straight | # Find the equation of the straight..
Find the equation of the straight line joining the point $(4,1)$ to the foot of the perpendicular drawn from the point $(3,2)$ on line $2x-3y=1$.
My Approach: Given equation: $$2x-3y=1$$ Slope of this line is $\frac {2}{3}$ Now the equation of the line perpendicular to this and p... | 2019-10-18T03:33:42 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://blog.franslundberg.com/2013/ | ## December 18, 2013
### The CAP Theorem Is Not a Theorem
After reading the attempted proof of the CAP conjecture [Lynch], I have come to the same conclusion as Mark Burgess [Burgess]. He writes:
Brewer's original conjecture has not been proven with mathematical rigour -- indeed, the formulation in terms of C, A and ... | 2021-06-15T18:42:57 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 2, "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://scicomp.stackexchange.com/questions/3362/relative-comparison-of-floating-point-numbers/3363 | # Relative comparison of floating point numbers
I have a numerical function f(x, y) returning a double floating point number that implements some formula and I want to check that it is correct against analytic expressions for all combination of the parameters x and y that I am interested in. What is the proper way to ... | 2020-02-19T11:06:33 | {"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": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.studyadda.com/notes/upsc/chemistry/states-of-matter/matter-and-its-nature/13310 | # UPSC Chemistry States of Matter Matter and Its Nature
Matter and Its Nature
Category : UPSC
Matter and Its Nature
A. Matter and its Nature
• Anything that possesses mass, occupies space, offers resistance and can be perceived through one or more of our sense is called matter.
• Matter is made up of particles. P... | 2020-10-01T08:57:57 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://zbmath.org/?q=an:1141.76039 | # zbMATH — the first resource for mathematics
##### Examples
Geometry Search for the term Geometry in any field. Queries are case-independent. Funct* Wildcard queries are specified by * (e.g. functions, functorial, etc.). Otherwise the search is exact. "Topological group" Phrases (multi-words) should be set in "strai... | 2013-12-12T06:49:48 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 2, "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://cracku.in/blog/coding-decoding-questions-for-ssc-cgl-tier-2-pdf/ | # Coding Decoding questions for SSC CGL Tier 2 PDF
0
165
## Coding Decoding questions for SSC CGL Tier 2 PDF
Download SSC CGL Tier 2 Coding Decoding questions PDF. Top 15 SSC CGL Tier 2 Coding Decoding questions based on asked questions in previous exam papers very important for the SSC exam.
Question 1: In a cert... | 2020-11-28T12:07:23 | {"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... |
https://nbviewer.jupyter.org/github/unpingco/Python-for-Signal-Processing/blob/master/AUC_Derivation.ipynb | The Receiver Operating Characteristic "ROC" illustrates the performance of the binary classifier by plotting the false alarm probability ($P_{FA}$) on the horizontal axis and the detection probability ($P_D$) on the vertical axis. The area under the ROC-curve (AUC) is used to provide a single-figure quantification of t... | 2021-07-27T03:38:32 | {"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": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://studymaterialcenter.in/question/one-kg-of-a-diatomic-gas-is-at-a-pressure-of-8-times-10-4-n-m-2-the-density-of-the-gas-is-4-kg-m-3-what-is-the-energy-of-the-gas-due-to-its-thermal-motion-61312/ | # One kg of a diatomic gas is at a pressure of $8 \times 10^{4} \mathrm{~N} / \mathrm{m}^{2}$. The density of the gas is $4 \mathrm{~kg} / \mathrm{m}^{3}$. What is the energy of the gas due to its thermal motion?
Question:
One kg of a diatomic gas is at a pressure of $8 \times 10^{4} \mathrm{~N} / \mathrm{m}^{2}$. Th... | 2023-02-09T02:07:58 | {"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://studydaddy.com/question/mole-concept-the-number-of-i-molecules-s-32-ii-atoms-in-192g-of-sulphur-s8-what | Waiting for answer This question has not been answered yet. You can hire a professional tutor to get the answer.
QUESTION
Mole Concept... The number of i] molecules [S=32] ii] atoms in 192g. of Sulphur [S8] What does the question mean? And how would I solve questions which are similar?
Number of atoms: 3.61 * 10^(24... | 2019-04-18T23:16:13 | {"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": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://calculator.academy/pacing-to-goal-calculator/ | Enter the actual result ($) and the planned result ($) into the Pacing to Goal Calculator. The calculator will evaluate the Pacing to Goal.
## Pacing to Goal Formula
The following two example problems outline the steps and information needed to calculate the Pacing to Goal.
P = (AR - PR) / PR
Variables:
• P is the... | 2023-03-30T21:43:51 | {"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": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.math.princeton.edu/events/sharp-schrodinger-maximal-estimate-mathbbr2-2018-03-12t190000 | # A sharp Schrödinger maximal estimate in $\mathbb{R}^2$
-
Xiumin Du, IAS
Fine Hall 314
Joint with Guth and Li, recently we showed that the solution to the free Schrödinger equation converges to its initial data almost everywhere, provided that the initial data is in the Sobolev space $H^s(\mathbb{R}^2)$ with $s>1/3$... | 2018-10-22T23:21:17 | {"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... |
https://www.meritnation.com/ask-answer/question/write-the-interval-for-which-the-function-f-x-1-x-is-strictl/application-of-derivatives/9409935 | # Write the interval for which the function f(x) = 1/x is strictly decreasing .
• 1
R whole real number as f'x is -ve everywhere
• 1
I guess the ans should be (0, infinity) .. as 1/x graph is decreasing in that interval
• -2
What are you looking for? | 2022-01-17T17:29:20 | {"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://unapologetic.wordpress.com/2008/08/07/the-complex-numbers/ | # The Unapologetic Mathematician
## The Complex Numbers
Yesterday we defined a field to be algebraically closed if any polynomial over the field always has exactly as many roots (counting multiplicities) as we expect from its degree. But we don’t know a single example of an algebraically complete field. Today we’ll (... | 2014-03-08T12:19:55 | {"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": 43, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://www.maplesoft.com/support/help/Maple/view.aspx?path=LinearAlgebra/General/MVshortcut | Matrix and Vector Construction Shortcuts - Maple Programming Help
# Online Help
###### All Products Maple MapleSim
Home : Support : Online Help : Programming : Data Types : Rtables, Arrays, Matrices, and Vectors : IO : LinearAlgebra/General/MVshortcut
Matrix and Vector Construction Shortcuts
Description
• ... | 2016-07-31T09:46:03 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 23, "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... |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.