url string | text string | date timestamp[s] | metadata string |
|---|---|---|---|
https://math.stackexchange.com/questions/3389838/symmetric-closure-and-transitive-closure-of-a-relation/3389843 | # Symmetric closure and transitive closure of a relation
I need some help in regards to symmetric and transitive closures.
So lets suppose that we have a relation $$R = \{(1,2), (2,1), (3,1)\}$$ on a set $$X = \{1,2,3,4\}$$
I know that if we want to create the reflexive closure of the set, then we to include $$(1,1)... | 2020-01-27T21:52:13 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://casper.astro.berkeley.edu/astrobaki/index.php?title=Convolution_Theorem&oldid=2259 | # Convolution Theorem
## Fourier Transform
Here are the definitions we will use for the forward (${\displaystyle {\mathcal {F}}}$) and inverse (${\displaystyle {\mathcal {F}}^{-1}}$) Fourier transforms:
{\displaystyle {\begin{aligned}f(t)&={\mathcal {F}}({\hat {f}}(\omega ))={\frac {1}{2\pi }}\int {{\hat {f}}(\omega... | 2022-08-18T16:48:20 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 32, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://math.stackexchange.com/questions/4008787/probability-density-function-and-radon-nikodym-derivative | # Probability density function and Radon-Nikodym derivative
Consider a probability space $$(\Omega,\Sigma,P)$$.
We say that a real random variable $$X\colon \Omega \to \mathbb{R}$$ is absolutely continuous when there exists a function $$f_X\colon \mathbb{R} \to [0,+\infty)$$ such that $$\mu_X((-\infty,x])=\int_{-\inf... | 2022-05-27T03:11:02 | {"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": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://dark-element.com/2016/10/10/bayesian-optimization-of-black-box-functions/ | # Bayesian Optimization of Black Box Functions – Part 1
Skip the explanation and go directly to the Github code.
## Foreword
My goal here is to provide complete and overarching explanations and implementations of algorithms useful in Machine Learning and Artificial Intelligence Research and Development, but if you d... | 2019-08-20T06:01:26 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 15, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://www.physicsforums.com/threads/translation-operator.673442/ | # Translation operator
1. Feb 21, 2013
### matematikuvol
$$e^{\alpha\frac{d}{dx}}=1+\alpha\frac{d}{dx}+\frac{\alpha^2}{2!}\frac{d^2}{dx^2}+...=\sum^{\infty}_{n=0}\frac{\alpha^n}{n!}\frac{d^n}{dx^n}$$
Why this is translational operator?
$e^{\alpha\frac{d}{dx}}f(x)=f(x+\alpha)$
2. Feb 21, 2013
### tiny-tim
taylor e... | 2018-03-18T08:55:39 | {"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": 2, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://mathinthespotlight.wordpress.com/tag/mersenne-primes/ | # How long is 2 to 77,232,917 minus 1
The largest known prime seems to be updated about once every two years. On December 26, 2017, the newest largest known prime number was discovered. The prior discovery was in January 7, 2016 (it was found by a machine on September 17, 2015 but no human took note of it until Januar... | 2019-01-24T05:36:26 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 8, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.jobilize.com/trigonometry/course/7-4-the-other-trigonometric-functions-by-openstax?qcr=www.quizover.com&page=5 | # 7.4 The other trigonometric functions (Page 6/14)
Page 6 / 14
## Key equations
Tangent function $\mathrm{tan}\text{\hspace{0.17em}}t=\frac{\mathrm{sin}\text{\hspace{0.17em}}t}{\mathrm{cos}\text{\hspace{0.17em}}t}$ Secant function $\mathrm{sec}\text{\hspace{0.17em}}t=\frac{1}{\mathrm{cos}\text{\hspace{0.17em}}t}... | 2020-07-13T11:06:59 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 69, "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/3038666/distance-between-two-polynomials-inner-product | # Distance between two polynomials (inner product)
I don't know how I've gotten this question wrong. I have to compute the distance between:
$$f(t) = 2t + 3$$ and $$g(t) = 3t^2 -1$$
Their inner product is defined as $$\int_{0}^{1}f(t)g(t)dt$$
So I figured the distance would be $$\sqrt{(f-g,f-g)}$$
Where $$(f-g,f-g... | 2019-08-26T05:06:48 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathhelpforum.com/advanced-algebra/185238-first-isomorphism-theorem-quotient-group-question.html | # Math Help - First Isomorphism Theorem/quotient group question
1. ## First Isomorphism Theorem/quotient group question
Let G be the group of invertible upper triangular 2x2 matrices over the real numbers. Determine if the following are normal subgroups and if they are use the frist isomorphism theorem to identify th... | 2015-11-26T16:09:43 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 18, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://www.gradesaver.com/textbooks/math/precalculus/precalculus-6th-edition-blitzer/chapter-3-review-exercises-page-513/60 | ## Precalculus (6th Edition) Blitzer
By the zero product property, a product is zero only when a factor of the product is zero. Here, on the LHS, the factor $\ln 1=0$ (a basic property of logarithms) Thus the statement is true. | 2023-03-31T18:46:15 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://lavelle.chem.ucla.edu/forum/viewtopic.php?f=129&t=18056&view=print | Page 1 of 1
### entropy equations
Posted: Fri Jan 20, 2017 11:27 pm
In class we talked about how $\Delta S= k_b ln\frac{W_2}{W_1} = k_b ln\frac{V_2}{V_1}$
does that mean W = V, and why is that?
### Re: entropy equations
Posted: Fri Jan 20, 2017 11:34 pm
I don't think it means volume is equal to work, but work is m... | 2020-09-28T23:06:21 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 1, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.physicsforums.com/threads/testing-for-divergence.161090/ | # Testing for divergence
## Homework Statement
Does the sum of the series from n=1 to infinity of 1+sin(n)/10^n converge or diverge.
## The Attempt at a Solution
I can use the comparison test or the limit comparison test.
I'm not sure where to go from here.
What can you tell me of the limit of the series as n reac... | 2021-04-17T16:29:12 | {"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://eprint.iacr.org/2021/090 | ## Cryptology ePrint Archive: Report 2021/090
A New Twofold Cornacchia-Type Algorithm and Its Applications
Bei Wang; Yi Ouyang; Honggang Hu ; Songsong Li
Abstract: We focus on exploring more potential of Longa and Sica's algorithm (ASIACRYPT 2012), which is an elaborate iterated Cornacchia algorithm that can compute... | 2022-01-28T11:02:01 | {"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://stats.stackexchange.com/questions/66906/ideal-learning-sample-in-machine-learning | # Ideal learning sample in machine learning
I am constructing a model for the prediction of a binary (Yes/No) outcome. I have a learning sample that gives the machine 1500 examples of the "Yes" group and 500 example of the "No" group. Should I be using all the data I have for input to learn the machine? Would this be ... | 2019-12-13T21:32:39 | {"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": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://chemistry.stackexchange.com/questions/115937/what-reaction-makes-sodium-silicate-harden-in-co2 | # What reaction makes sodium silicate harden in CO2
I have looked all over the web, and I can only find information stating that it does happen. I don't doubt that I just can't figure out what is happening. Some sources state that an acid can cause the hardening others say heat causes the hardening so my speculation w... | 2019-09-15T18:46:30 | {"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": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.hackmath.net/en/math-problem/681?tag_id=103,65 | # Negative percentage
In 2004, the company had a loss of 40900 Euros. Two years later he was already in profit 48900 Eur.
Calculate what percentage of the company increased profits in this two years.
Result
p = -219.6 %
#### Solution:
$p = \dfrac{ 48900-(-40900)}{ -40900 }\cdot 100 = -219.6 \%$
Our examples wer... | 2020-01-28T17:49:17 | {"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://en.m.wikisource.org/wiki/The_Aether | # The Aether
The Æther.
By Norman Campbell, Fellow of Trinity College, Cambridge[1].
§ 1. The position of the conception of "the æther" in modern physics is anomalous and unsatisfactory. From the works of some writers it might appear that at no period was the conception of more fundamental importance or of more indi... | 2019-02-24T04:30:02 | {"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://physics.stackexchange.com/questions/111074/supernovae-and-black-holes/111077 | # Supernovae and black holes?
I think i am correct in saying that a supernova ($Type$ $II$) is caused by the collapse of the core of a giant star. This contraction of the core is stopped by the Pauli exclusion principle and the core becomes rigid. The outer layers now rebound of the rigid core and are thrown into spac... | 2019-07-21T00:25:03 | {"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://www.physicsforums.com/threads/heat-loss-rate-directionality-sign-convention.549624/ | # Heat loss rate directionality/sign convention
1. Nov 11, 2011
1. The problem statement, all variables and given/known data
2. Relevant equations
$H=-k A \frac{\Delta T}{\Delta x}$
kconcrete = 1.0 W / m K (approx)
3. The attempt at a solution
$H=\frac{-1.0 (8 * 12) (10-20)}{0.23} = 4.17$ kW
My problem is that t... | 2019-01-16T17:58:31 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://ieeexplore.ieee.org/xpls/icp.jsp?reload=true&arnumber=6579629 | By Topic
• Abstract
SECTION I
INTRODUCTION
Widely tunable semiconductor lasers are attractive for various applications in, for example, today's dense wavelength division multiplexed (DWDM) systems and broadband sensors [1]. Tunable lasers are also key components in future optical packet and burst (OPS/OBS) switchin... | 2016-10-01T08:53:02 | {"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... |
http://community.wolfram.com/groups/-/m/t/1177359 | # New SystemModeler Example: Hare-Lynx, Interactively Explore Dynamics
GROUPS:
Patrik Ekenberg 5 Votes A new example has been added to the collection of ready-made example models available on the SystemModeler site: Hare-Lynx: Interactively Explore Population Dynamics. The model requires the free SystemDynamics Model... | 2018-02-19T06:17:36 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://mathematica.stackexchange.com/questions/179157/get-the-number-of-specified-elements-from-the-sparsearray-properties | # Get the number of specified elements from the SparseArray properties
In the sparse matrix, we have a list of properties: specified elements, dimension, default, and density. I am interested in getting this data without calculating them again. For an example, the following sparse matrix has four specified elements.
... | 2019-06-26T17:13:13 | {"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... |
http://www.computer.org/csdl/trans/tc/1971/06/01671921-abs.html | Subscribe
Issue No.06 - June (1971 vol.20)
pp: 688-690
C. Harlow , IEEE
ABSTRACT
Hartmanis and Stearns defined the concept of an inessential error in their study of errors in sequential machines and represented such errors by means of an error partition ? E. Although they showed that ?E could not be determined using on... | 2015-10-05T01:29:08 | {"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... |
https://planetmath.org/elementarymatrix | # elementary matrix
## Elementary Operations on Matrices
Let $\mathbb{M}$ be the set of all $m\times n$ matrices (over some commutative ring $R$). An operation on $\mathbb{M}$ is called an elementary row operation if it takes a matrix $M\in\mathbb{M}$, and does one of the following:
1. 1.
interchanges of two rows o... | 2020-04-09T11:52:48 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 64, "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.investopedia.com/terms/p/present-value-annuity.asp | • General
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Present Value of an Annuity: Meaning, Formula, and Example
What Is the Present Value of an Annuity?
The present value of an annuity is the current value of future payments from an annuity, given a specified rate... | 2023-01-30T11:26:34 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 6, "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.shaalaa.com/question-bank-solutions/trigonometric-functions-general-solution-of-trigonometric-equation-of-the-type-find-general-solution-equation-sin-2x-sin-4x-sin-6x-0_10974 | HSC Arts 12th Board ExamMaharashtra State Board
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# Find the general solution of the equation sin 2x + sin 4x + sin 6x = 0 - HSC Arts 12th Board Exam - Mathematics and Statistics
ConceptTrigonometric Functions General Solution of Trigonometric Equation of the Type
#### Question
Find the general solution of the ... | 2019-12-09T21:40:41 | {"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": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://www.ijpe-online.com/EN/10.23940/ijpe.21.09.p3.766778 | Int J Performability Eng ›› 2021, Vol. 17 ›› Issue (9): 766-778.
### Preventive Maintenance Optimization Regarding Large-Scale Systems based on the Life-Cycle Cost
Ruiqi Wang, Guangyu Chen*, Na Liang, Zheng Huang
1. School of Management and Economics, University of Electronic Science and Technology of China (UESTC),... | 2022-08-10T02:12:52 | {"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.semanticscholar.org/paper/A-Lyapunov-Like-Characterization-of-Asymptotic-Sontag/3549c27e3ee70a1d90c69f8f038458de71bd6a85 | # A Lyapunov-Like Characterization of Asymptotic Controllability
@article{Sontag1983ALC,
title={A Lyapunov-Like Characterization of Asymptotic Controllability},
author={Eduardo Sontag},
journal={SIAM Journal on Control and Optimization},
year={1983},
volume={21},
pages={462-471}
}
• Eduardo Sontag
• Published 1 May 19... | 2023-02-05T18:40:47 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://quantumcomputing.stackexchange.com/tags/qudit/hot | We’re rewarding the question askers & reputations are being recalculated! Read more.
# Tag Info
10
For qubits, we usually base all of our operators on the Pauli matrices. Our basic gate set consists of the Pauli matrices themselves, Clifford gates like $H$ and $S$ that map between Pauli matrices, controlled operatio... | 2019-11-18T17:28:47 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://par.nsf.gov/biblio/10373838 | This content will become publicly available on September 28, 2023
Self-similar diffuse boundary method for phase boundary driven flow
Interactions between an evolving solid and inviscid flow can result insubstantial computational complexity, particularly in circumstances involving varied boundary conditions between th... | 2023-04-02T09:01:20 | {"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": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://labs.tib.eu/arxiv/?author=Sergio%20A.%20Rodr%C3%ADguez-Torres | • ### The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: theoretical systematics and Baryon Acoustic Oscillations in the galaxy correlation function(1610.03506)
March 1, 2018 astro-ph.CO
We investigate the potential sources of theoretical systematics in the anisotropic Baryon... | 2021-01-19T21:26:30 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.gradesaver.com/textbooks/math/algebra/algebra-2-1st-edition/chapter-4-quadratic-functions-and-factoring-investigating-algebra-activity-4-7-using-algebra-tiles-to-complete-the-square-draw-conclusions-page-283/2c | ## Algebra 2 (1st Edition)
$c=0.25b^2$
Using part a) and b) and the fact that we write the $c$'s in the second columns, $c=d^2=(0.5b)^2=0.25b^2$ | 2023-02-03T06:31:42 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://www.onemathematicalcat.org/Math/Precalculus_obj/reflectingPropertyHyperbola.htm | # Reflecting Property of a Hyperbola
• PRACTICE (online exercises and printable worksheets)
Hyperbolas were introduced in four prior lessons:
Hyperbolas (like all conic sections) have an interesting and useful reflecting property.
In-a-nutshell: outside light aimed at one focus of the hyperbola is reflected towards ... | 2019-02-20T08:00:17 | {"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": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://math.stackexchange.com/questions/1802401/can-i-get-weak-convergence-in-sobolev-spaces-from-convergence-of-distributions | can I get weak convergence in sobolev spaces from convergence of distributions
my question is the following.
Given a sequence $(f_k)_k$ in $W^{1,q}(\Omega)$ with $q \in (1,\infty)$ and $\Omega \subseteq \mathbb{R}^n$ open and bounded. If I want to show $f_k$ converges in $W^{1,q}(\Omega)$ weakly, is it then sufficien... | 2019-07-19T06:11:49 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://hsm.stackexchange.com/questions/2520/did-gauss-formulate-or-at-least-know-of-the-full-essence-of-the-gauss-bonnet-t | # Did Gauss formulate, or at least know of, the full essence of the Gauss-Bonnet Theorem?
I know that a special case of the Bonnet theorem, called the Theorema Elegantissimum, was proved by Gauss in his 1827 treatise on differential geometry. This was a theorem that dealt with the connection between total curvature an... | 2020-09-19T02:34:01 | {"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": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://zbmath.org/0554.65010 | # zbMATH — the first resource for mathematics
Bessel transforms and rational extrapolation. (English) Zbl 0554.65010
A numerical method is developed which handles the Bessel transform of functions having slow rates of decrease, i.e. $$f(u)=O(u^{-\alpha})$$, $$u\to +\infty$$ $$(\alpha >0)$$ in the Bessel transform $$H_... | 2021-09-20T00:41:36 | {"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... |
http://usaco.org/current/data/sol_moop_silver_open20.html | (Analysis by Benjamin Qi)
Construct an undirected graph where each vertex represents a moo particle and there exists an edge between two moo particles if they can interact. An interaction corresponds to removing a vertex with at least one adjacent edge.
Within each connected component, at least one particle must rema... | 2020-07-13T14:53:20 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://cran.irsn.fr/web/packages/scorepeak/vignettes/intro.html | # Introduction to scorepeak
#### 2019-08-20
There are true peaks and false peaks (noise) in time series data.
We need to formalize the notion of a peak to distinguish true peaks from false peaks.
An approach is to define a peak function, which gives a score of a data point.
The score indicates how high the possibi... | 2022-05-16T08:05:16 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://math.stackexchange.com/questions/1160408/subring-generated-by-x-is-an-integral-domain-iff-it-is-a-field-iff-the-minimal | # Subring generated by $x$ is an integral domain iff it is a field iff the minimal polynomial of $x$ is irreducible
Let $R$ be a ring, $K$ a subfield of $R$, and $x \in R$. Let $F(X)$ be the minimal polynomial of $x$ over $K$.
I want to prove that:
$K[x]$ is a field $\iff K[x]$ is an integral domain $\iff F(X)$ is i... | 2019-08-24T18:30:51 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathhelpforum.com/algebra/137340-logarithm-problem.html | # Math Help - Logarithm problem
1. ## Logarithm problem
state the values of x for which the following identity is true
log(x+3) + log(x+4) = log(x^2 + 7x + 12)
2. Hint: Log(xy)=log x + log y and If we have log a, a must be >0
3. Originally Posted by ugie
state the values of x for which the following identity is tru... | 2014-09-22T22:58:40 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 2, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.semanticscholar.org/paper/Sums-of-triangular-numbers-and-sums-of-squares-Akbary-Aygin/d984ecfbedddd954d3320aa3e9efe8ee189fb46d | • Corpus ID: 235727752
# Sums of triangular numbers and sums of squares
@inproceedings{Akbary2021SumsOT,
title={Sums of triangular numbers and sums of squares},
author={Amir Akbary and Zafer Selcuk Aygin},
year={2021}
}
• Published 2 July 2021
• Mathematics
For non-negative integers a, b, and n, let Npa, b;nq be the ... | 2022-01-28T09:32:02 | {"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": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathhelpforum.com/math-topics/61447-binomial-theorem-questions.html | # Math Help - Binomial Theorem - Questions
1. ## Binomial Theorem - Questions
32. For the expansion of (k+t)^22, state:
a) the number of terms (1 mark)
b) the degree of each term (1 mark)
c) the first four terms in the expansion, without coefficients (2 marks)
33. Find the first five terms in the expansion of (r-... | 2015-01-28T16:57:20 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 14, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://physics.stackexchange.com/questions/122687/does-heisenberg-equation-of-motion-imply-the-schrodinger-equation-for-evolution | # Does Heisenberg equation of motion imply the Schrodinger equation for evolution operator?
Let us choose to postulate (e.g. considering the analogy of the Hamiltonian being a generator of time evolution in classical mechanics) $$i\hbar \frac{d\hat{U}}{dt}=\hat{H}\hat{U}\tag{1}$$ where $\hat{U}$ is the (unitary, linea... | 2015-07-31T11:38:30 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.shaalaa.com/question-bank-solutions/show-that-all-roots-x-1-6-x-1-6-0-are-given-icot-2-k-1-n-12-where-k-0-1-2-3-4-5-powers-roots-trigonometric-functions_57568 | Share
# Show that All Roots of ( X + 1 ) 6 + ( X − 1 ) 6 = 0 Are Given by -icot ( 2 K + 1 ) N 12 Where K=0,1,2,3,4,5. - Applied Mathematics 1
ConceptPowers and Roots of Trigonometric Functions
#### Question
Show that all roots of (x+1)^6+(x-1)^6=0 are given by -icot((2k+1)n)/12where k=0,1,2,3,4,5.
#### Solution
(... | 2020-03-29T11:25:55 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://mathhelpboards.com/threads/finding-maximum-value.4428/ | # Finding Maximum Value
#### anemone
##### MHB POTW Director
Staff member
Find the maximum of the expression $$\displaystyle x^4y+x^3y+x^2y+xy+xy^2+xy^3+xy^4$$ if $$\displaystyle x,\;y$$ are real numbers with $$\displaystyle x+y=2$$.
#### Opalg
##### MHB Oldtimer
Staff member
Find the maximum of the expression $$\d... | 2021-07-27T20:24:34 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 2, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.miryanagrigorova.com/copy-of-seminar-in-probability-fina | ## 2019/2020
Prof. Teemu PENNANEN (King's College London)
10th of October
2:00 pm
LT 3
Roger Stevens Building
Title
Convex duality in optimal investment and contingent claim valuation in illiquid markets
Abstract
We develop a duality theory for optimal investment and contingent claim valuation in markets wher... | 2022-05-25T13:40:57 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://math.stackexchange.com/questions/220266/an-estimation-using-the-functions-in-schwarz-class | # An estimation using the functions in Schwarz class.
Define $$U := C^0 ([0,T], W^{1,2} ) \cap C^1 ([0,T] \cap L^2 ) \cap L^\infty ([0,T] , W^{s,2} ).$$ Then how can I prove that $\lim_{x_j \to \infty}| u |^2 = 0$ by using the fact: $$C^1 ([0,T] , \mathcal S ) \text{ is dense in } U?$$ Here $u : [0,T] \times \Bbb R^n ... | 2016-06-26T08:19:33 | {"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... |
http://mathhelpforum.com/number-theory/94307-field-question-help-please.html | # Math Help - field question help please
1. ## field question help please
R(x)={P(x)/Q(x): p and q are polynomials} can you explain me how can i show this is a field?i reguest explain me step bye step please.thanks for your helps.
2. Your statement is very vague. These are polynomials over what? An integral domain? ... | 2016-06-01T02:13:26 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 3, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://sporadic.stanford.edu/bump/group/gr2_2.html | # Characters of Abelian Groups
Now let $G$ be a finite abelian group, which we will write multiplicatively. Let $L^2 (G)$ be the inner product space of all complex-valued functions on $G$, with the inner product $\left\langle \phi, \psi \right\rangle = \frac{1}{|G|} \sum_{g \in G} \phi (g) \overline{\psi (g)} .$ It is... | 2017-10-18T05:36:02 | {"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": 2, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://proofwiki.org/wiki/Center_is_Characteristic_Subgroup | # Center is Characteristic Subgroup
## Theorem
Let $G$ be a group.
Then its center $\map Z G$ is characteristic in $G$.
## Proof
Let $\phi$ be an automorphism of $G$.
Let $x \in \map Z G, y \in G$.
Then:
$\displaystyle \map \phi x y$ $=$ $\displaystyle \map \phi x \map \phi {\map {\phi^{-1} } y}$ automorphisms... | 2020-07-03T14:00:23 | {"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": 2, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://indico.mitp.uni-mainz.de/event/84/contributions/2550/ | 55. International Winter Meeting on Nuclear Physics
23-27 January 2017
Bormio, Italy
Europe/Berlin timezone
The cosmological Lithium problem within a nonextensive statistical mechanics approach
Not scheduled
20m
Bormio, Italy
Bormio, Italy
Short Contribution
Speakers
Andrea Lavagno (Politecnico di Torino) Gianpi... | 2020-08-11T22:14:31 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://lavelle.chem.ucla.edu/forum/viewtopic.php?f=145&t=12354 | ## Steady State and Pre Equilibrium Approach
$aR \to bP, Rate = -\frac{1}{a} \frac{d[R]}{dt} = \frac{1}{b}\frac{d[P]}{dt}$
Sandeep Gurram 2E
Posts: 42
Joined: Fri Sep 25, 2015 3:00 am
### Steady State and Pre Equilibrium Approach
When do we know to use the steady state or pre equilibrium approach in determining whe... | 2020-07-13T12:36:51 | {"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": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 1, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.esaga.uni-due.de/marc.levine/Courses/2021/MotivesSeminarSS/ | # Motives Seminar-SS 2021
## Tropical methods in enumerative geometry
This semester we will examine an approach to enumerative geometry via tropical geometry, especially related to the case of enumerative problems over the reals. We will present some of the history and recent developments in this area. The ultimate g... | 2021-07-29T09:26:20 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 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/112487/the-pushfoward-in-the-context-of-sets | The Pushfoward in the Context of Sets
I am trying to understand the meaning of a pushforward in the simplest context possible where the functions involved are defined on sets. From my readings in differential geometry, I have arrived at the following understanding that I have attempted to codify in a precise definitio... | 2014-11-26T12:51:30 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://rovislab.com/gridsim.html | >>Grid Sim
GridSim: A Vehicle Kinematics Engine for Deep Neuroevolutionary Control in Autonomous Driving
12 February 2019
Abstract: Vehicle control has been a challenge in the field of autonomous driving for many years. Current state of the art solutions mainly use supervised end-to-end learning, or decoupled percep... | 2022-12-03T12:25:21 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 4, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://statmd.wordpress.com/2013/06/25/how-to-choose-among-alternative-narratives/ | ## How to choose among alternative narratives
The arithmetic of choosing among alternative narratives in the clinic and elsewhere, can be made rigorous by selecting a numerical scale for representing the extremes of falseness/impossibility all the way truthfulness/certainty. If the scale is selected as a probability o... | 2017-06-26T20:51:09 | {"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": 6, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathhelpforum.com/pre-calculus/19752-vectors-2d-space-again.html | # Math Help - vectors in 2D space again
1. ## vectors in 2D space again
question: With respect to an origin, O, the points A, B and C have position vectors (2i+5j)m, (-i+2j)m and (7i+15j)m respectively.
(a) Express vector BA, in terms of i and j.
(b) Given that P is the point on BA, between B and A, such that BP/PA =... | 2014-04-17T06:05:31 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 2, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.physicsforums.com/threads/why-is-this-happening-trig-subs.205172/ | # Why is this happening (trig subs)
1. Dec 18, 2007
### frasifrasi
Dor the integral 1/x*sqrt(t^2 - 1)
After i do the substitutions, it comes out to be sec(x)tan(x)/sec(x)tan(x), so evertything cancels out and the integral evaluated is just x (or theta), but what do I sub theta for when evaluating the integral?
I k... | 2017-11-24T07:48:54 | {"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://solvedlib.com/n/9-kwk-ch-ex-129-applying-the-ideal-gas-law3allempts-ie-chcck,19035248 | # 9 Kwk Ch: Ex: 129 Applying the Ideal Gas Law3allempts Iechcck my Work.Owged can be produced by the thermul decomposition
###### Question:
9 Kwk Ch: Ex: 129 Applying the Ideal Gas Law 3 allempts Ie chcck my Work. Owged can be produced by the thermul decomposition muercuric oxidc: eiu Hg0l) He(h) O.1 Gulded What rolu... | 2023-03-27T19:02:09 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://socratic.org/questions/how-do-you-write-an-equation-of-a-line-that-goes-through-6-7-with-m-1 | # How do you write an equation of a line that goes through (-6,-7) with m= -1?
##### 1 Answer
Apr 30, 2015
The equation of a line given a point and a slope is:
$y - {y}_{p} = m \left(x - {x}_{p}\right)$,
so:
$y + 7 = - 1 \left(x + 6\right) \Rightarrow y = - x - 6 - 7 \Rightarrow y = - x - 13$. | 2020-03-30T17:11:43 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 2, "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.transtutors.com/questions/week-5-quiz-question-1-the-net-present-value-is-found-by-subtracting-a-project-s-ini-3169389.htm | Week 5 quiz Question 1 The net present value is found by subtracting a project’s initial investment.
Week 5 quiz Question 1 The net present value is found by subtracting a project’s initial investment from the present value of its cash inflows discounted at a rate equal to the project’s internal rate of return. Questi... | 2020-01-18T21:12:06 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://math.stackexchange.com/questions/158849/determining-if-a-language-is-recursively-enumerable | # Determining if a language is Recursively Enumerable
Here is a problem from John Hopcroft's "Introduction to Automata Theory" that I'm having a hard time trying to understand.
Exercise 9.2.5: Let L be recursively enumerable and let Overscript[L, _] be non-RE. Consider the > language:
L' = {0w | w is in L} $\cup$ { ... | 2014-03-09T17:05:31 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://ludovicarnold.altervista.org/teaching/optimization-machine-learning/model-selection/ | # Model selection
Course completion
75%
A learning algorithm consists in an optimization algorithm applied to the parameters of a model in order to minimize a specific loss. Nonetheless, it is often the case that the learning algorithm itself depends on some parameters being set, as e.g. the complexity of the model (... | 2019-02-18T09:24:06 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://clay6.com/qa/40887/if-a-b-c-and-d-find-iii-a-cap-c-cap-d | Browse Questions
Home >> CBSE XI >> Math >> Sets
If $A=\{3,5,7,9,11\},B=\{7,9,11,13\},C=\{11,13,15\}$ and $D=\{15,17\}$.Find $A\cap C\cap D$
$\begin{array}{1 1}(A)\;\{3,5,7,9,11\}&(B)\;\{11,13,15\}\\(C)\;\{3,5,7,9,11,13,15\}&(D)\;\phi\end{array}$
There is no common element in A,C,D
$\therefore A\cap C\cap D=\p... | 2016-10-23T09:41:20 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "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/172028/sum-using-variables-then-evaluated-with-values-gives-different-result-than-sum-w | # Sum using variables then evaluated with values gives different result than sum with values
I'm trying to do a sum symbolically. However, Mathematica is giving me a different result if I do the sum with numbers or symbols. What's causing this error?
$Assumptions = m \[Element] Integers && n \[Element] Integers && m ... | 2019-12-16T02:25:24 | {"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": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://datascience.stackexchange.com/questions/13029/what-are-the-advantages-disadvantages-of-off-policy-rl-vs-on-policy-rl | # What are the advantages / disadvantages of off-policy RL vs on-policy RL?
There are various algorithms for reinforcment learning (RL). One way to group them is by "off-policy" and "on-policy". I've heard that SARSA is on-policy, while Q-Learning is off-policy.
I think they work as follows:
My questions are:
• How... | 2022-01-17T17:53:30 | {"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": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.expii.com/t/differentiating-an-integral-function-using-chain-rule-9183 | Expii
# Differentiating an Integral Function Using Chain Rule - Expii
To differentiate an integral function $$\int_{g(x)}^{h(x)} f(t)\,dt$$ with varying endpoints $$g(x),h(x)$$, you can use one FTC together with the chain rule. | 2022-12-08T10:44:52 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://infoscience.epfl.ch/record/103763 | ## Extrapolation et synthèse
Let G a locally compact group, H a closed subgroup and 1 < p < ∞. It's well-known that the restriction of the functions from G to H is a surjective linear contraction from Ap(G) onto Ap(H). We prove, when H is amenable, that every element in Ap(H) with compact support can be extended to an... | 2018-07-20T05:17:59 | {"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... |
https://socratic.org/questions/if-the-tangent-line-to-y-f-x-at-4-3-passes-through-the-point-0-2-find-f-4-and-f- | # If the tangent line to y = f(x) at (4,3) passes through the point (0,2), Find f(4) and f'(4)? An explanation would also be very helpful.
Then teach the underlying concepts
Don't copy without citing sources
preview
?
#### Explanation
Explain in detail...
#### Explanation:
I want someone to double check my answer
... | 2018-06-24T16:39:47 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 20, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://ncatlab.org/nlab/show/local+coefficient+bundle | Contents
Contents
Idea
In the context of twisted cohomology a cocycle on a space $X$ with coefficients in a coefficient object $V$ is not quite a direct morphism $X \to V$ as in ordinary $G$-cohomology, but is instead a section of a $V$-fiber ∞-bundle $E \to X$ over $X$. This is called the local coefficient bundle f... | 2023-03-30T05:57:43 | {"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... |
https://en.wikipedia.org/wiki/Rational_sieve | # Rational sieve
In mathematics, the rational sieve is a general algorithm for factoring integers into prime factors. It is a special case of the general number field sieve. While it is less efficient than the general algorithm, it is conceptually simpler. It serves as a helpful first step in understanding how the gen... | 2019-02-18T14:33:59 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 9, "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://openstudy.com/updates/50928d70e4b0b86a5e52b256 | ## aussy123 Group Title How do you graph this x2- 3x + 2<= 0 one year ago one year ago
1. aussy123 Group Title
$x^2+3x+2\le0$
2. dopeboz Group Title
wow!!!! i wouldnt know sorry
3. aussy123 Group Title
its ok
4. dopeboz Group Title
k. but anyways i think your cute tho.
5. helder_edwin Group Title
first solve ... | 2014-09-01T14:35:47 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://zbmath.org/?q=an:1078.53001 | # zbMATH — the first resource for mathematics
Geometric algebra for physicists. (English) Zbl 1078.53001
Cambridge: Cambridge University Press (ISBN 0-521-48022-1/hbk). xiv, 578 p. (2003).
This book grew out of an undergraduate lecture course taught at physics department of Cambridge University (UK). Although the titl... | 2021-08-06T02:34:33 | {"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... |
http://mathematica.stackexchange.com/questions/45240/efficient-calculation-of-diagonal-matrix-elements | Efficient calculation of diagonal matrix elements
I have a matrix $V$ of size $M$ in which each row $i$ is a vector $v_i$. Now I have another matrix $H$ and I would like to calculate as efficiently as possible the list of values $v_i^\dagger\cdot H\cdot v_i$ for $i \in 1\ldots M$. I tried using Thread but I couldn't f... | 2015-08-05T04:29:51 | {"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": 1, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://danielmuellerkomorowska.com/category/scipy/ | # Introduction to t-SNE in Python with scikit-learn
t-SNE (t-distributed stochastic neighbor embedding) is a popular dimensionality reduction technique. We often havedata where samples are characterized by n features. To reduce the dimensionality, t-SNE generates a lower number of features (typically two) that preserv... | 2021-01-27T02:58:05 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://togohk.com/just-one-fidvhv/article.php?page=8aae34-find-the-height-of-an-equilateral-triangle-of-side-12cm | (b) the volume of the prism.
(c) the total surface area of the prism. The in-radius of an equilateral traingle is of length 3 cm. A. The base of a right prism is a right angled triangle. In the equilateral triangle ABC of side «a»: ⇒ S = ½.a.h …. The height of an equilateral triangle is 4 StartRoot 3 EndRoot. An equila... | 2021-09-27T07:29:41 | {"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": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://michael-data.net/doku.php?id=logistic_regression | # Michael's Wiki
See Notes on Logistic Regression by Charles Elkan.
##### Logistic Regression
Considered discriminative: As opposed to generative models, computes $p(c_i|x_i)$ directly.
Very widely used. The linear function is the probability model, and the $f$ function is a transformation to enforce constraints of... | 2022-11-30T08:02:44 | {"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": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://eprints.ma.man.ac.uk/1242/ | # Deflating Quadratic Matrix Polynomials with Structure Preserving Transformations
Tisseur, Francoise and Garvey, Seamus D. and Munro, Christopher (2009) Deflating Quadratic Matrix Polynomials with Structure Preserving Transformations. [MIMS Preprint]
Given a pair of distinct \e s $(\l_1,\l_2)$ of an $\nbyn$ quadrati... | 2018-06-20T20:49:49 | {"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": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://math.stackexchange.com/questions/25051/matrix-with-exactly-one-1-in-each-row | # Matrix with exactly one 1 in each row
Is there a name associated to rectangular matrices $M \times N$ that have exactly one entry equal to $1$ in each row and $0$ everywhere else?
-
Are they in different columns, too? – Arturo Magidin Mar 4 '11 at 19:09
@Arturo: no, $N$ can be smaller than $M$. If they were in dif... | 2015-08-03T17:19:02 | {"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://www.scholarpedia.org/article/Optimal_control | Optimal control
Victor M. Becerra (2008), Scholarpedia, 3(1):5354. doi:10.4249/scholarpedia.5354 revision #124632 [link to/cite this article]
Post-publication activity
Curator: Victor M. Becerra
Optimal control is the process of determining control and state trajectories for a dynamic system over a period of time t... | 2014-10-23T03:43:12 | {"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://byjus.com/jee/keplers-laws/ | # Kepler’s Laws of Planetary Motion
In astronomy, Kepler’s laws of planetary motion are three scientific laws describing the motion of planets around the sun.
• Kepler first law: The law of orbits
• Kepler’s second law: The law of equal areas
• Kepler’s third law: The law of periods
## Introduction to Kepler’s Laws
... | 2019-06-17T20:45:28 | {"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://ncatlab.org/nlab/show/Chern-Simons+theory+as+topological+string+theory | # nLab Chern-Simons theory as topological string theory
Contents
### Context
#### Duality in string theory
duality in string theory
general mechanisms
string-fivebrane duality
string-string dualities
M-theory
F-theory
string-QFT duality
QFT-QFT duality:
# Contents
## Idea
Under mapping the Feynman diagram... | 2021-06-20T22:14:32 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 6, "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.physicsforums.com/threads/length-of-a-curve-problem.279046/ | # Homework Help: Length of a curve problem
1. Dec 11, 2008
### grog
1. The problem statement, all variables and given/known data
Find the length of the curve r(t) = <2t3/2 , cos 2t, sin 2t>, for 0<= t <=1
2. Relevant equations
L = $$\int\sqrt{(dx/dt)^2+(dy/dt)^2+(dz/dt)^2}dt$$
3. The attempt at a solution
(dx/d... | 2018-08-20T15:38:46 | {"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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://en.wikisource.org/wiki/Page:LorentzGravitation1916.djvu/16 | # Page:LorentzGravitation1916.djvu/16
draw a line perpendicular to $\sigma_{2}$ and $\sigma_{1}$. Let $B_1$ be the point, where it cuts thus last, plane, the "base", and $A_{1}$ the point where this plane is encountered by the generating line through $A_{2}$. If then $\angle A_{1}A_{2}B_{1}=\vartheta$, we have
$\ove... | 2014-03-07T22:24:09 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 46, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://socratic.org/questions/how-do-you-find-the-domain-and-range-of-y-3-sqrt-x-2 | # How do you find the domain and range of y = 3 sqrt (x-2) ?
Jul 17, 2015
For $x - 2$ to have a real square root, we require $x - 2 \ge 0$, hence $x \ge 2$.
Given $x \ge 2$ we find $y$ can have any positive value.
So the domain is $\left[2 , \infty\right)$ and range is $\left[0 , \infty\right)$
#### Explanation:
... | 2019-11-13T14:20:33 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 22, "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://experts.mcmaster.ca/display/publication222226 | # Bilinear forms on the Dirichlet space Academic Article
•
• Overview
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• Research
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• Identity
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• View All
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### abstract
• Let $\mathcal{D}$ be the classical Dirichlet space, the Hilbert space of holomorphic functions on the disk. Given a holomorphic symbol function $b$ we define the associated Hankel type bili... | 2019-09-22T14:37:23 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://www.physicsforums.com/showthread.php?t=214743 | ## Inclined Plane
A skier with mass 65.9 kg is going 14.9 m/s on a flat surface. She hits a slope with angle 8.7 degrees from the horizontal. How long does it take for her to stop? Neglect friction.
I've tried breaking up her velocity into components. Also, found the force on her once she is on the slope with mgsin$$... | 2013-05-26T07:12:15 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://cs.stackexchange.com/questions/150845/is-there-a-simpler-solution-for-this-recuurence | # Is there a simpler solution for this recuurence?
Consider this recurrence relation, $$T(n)=T(n-\sqrt{n})+1$$ I try to show that $$T(n)=O(\sqrt{n})$$.
Also, I read this link, but my question is, can I claim that, at each step $$n$$ decreased by at least $$\sqrt{\frac{n}{2}}$$ to reach $$\frac{n}{2}$$?
• "at each st... | 2022-10-02T16:03:18 | {"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://physicsworks.wordpress.com/2011/10/10/33/ | Home > 0877 > GR0877 Problem 33
## GR0877 Problem 33
PROBLEM STATEMENT: This problem is still being typed.
SOLUTION: (E) According to the first law of thermodynamics $dS = \frac{1}{T}dU + \frac{P}{T} dV = mc \frac{dT}{T} + \nu R \frac{dV}{V}$, where $c$ is the specific heat (per one kilogram). Assuming water is inco... | 2017-08-19T20:25:13 | {"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": 0, "img_math": 6, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathhelpforum.com/pre-calculus/113295-polar-equation-rectangular-form-print.html | # Polar Equation to Rectangular Form
• November 8th 2009, 04:58 PM
McFroggerton
Polar Equation to Rectangular Form
Hello, I was just wondering if anyone could possibly help me convert this into rectangular form.
To make it simpler (t) = theta.
r(1+cos(t))=2
So far I have distributed the r through the equation and s... | 2014-12-28T00:53:08 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 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/1095405/turning-an-infinite-summation-into-an-integral | # Turning an infinite summation into an integral
I was wondering if the following summation can be turned into a Riemann sum ($n\to\infty$):
$$\sum_{i=1}^{n} \frac{1}{n}\log\left (\frac{a+bi^2}{c+di^2}\right).$$ Or is there another way to find a closed form answer for this summation?
Assume $a, b, c, d > 0$, we can ... | 2019-11-19T20:14:27 | {"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://allenfrostline.com/2019/04/23/perfect-market-maker/ | In this research report we try to simulate and explore difference scenarios for a "perfect" market maker in the Bitcoin market. By "perfect" we refer to the capability to capture all spreads on the right side of any trade, i.e. there will be no spread loss at all. Although this setting is too perfect to be considered c... | 2019-07-17T15:33:43 | {"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://collegephysicsanswers.com/openstax-solutions/write-complete-decay-equation-given-nuclide-complete-aztextrmxn-notation-refer-2 | Question
Write the complete decay equation for the given nuclide in the complete $^A_Z\textrm{X}_N$ notation. Refer to the periodic table for values of Z:
$\alpha$ decay of $^{210}\textrm{Po}$, the isotope of polonium in the decay series of $^{238}\textrm{U}$ that was discovered by the Curies. A favorite isotope in phy... | 2020-01-29T19:57:58 | {"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://proxieslive.com/convergence-acceleration-of-successions-with-logarithms/ | # Convergence acceleration of successions with logarithms
I have a numerical question regarding acceleration of a succession.
A preliminary: suppose that I have a succession $$a_g$$ that, for high $$g$$, asymptotically goes as $$a_g=s_0+\frac{s_1}g+\frac{s_2}{g^2}+…=\sum_{k=0}^\infty \frac{s_k}{g^k}.$$ I am intereste... | 2019-03-22T17:16:30 | {"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": 0, "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/what-is-the-distance-between-p-2-1-3-and-point-q-1-4-2 | # What is the distance between P(–2, 1, 3) and point Q(–1, 4, –2)?
Nov 7, 2016
#### Answer:
The distance $P Q = \sqrt{35}$
#### Explanation:
We can do it using vectors.
vec(PQ)=〈-1,4,-2〉-〈-2,1,3〉=〈1,3,-5〉
The distance $P Q$ is equal to the modulus of $\vec{P Q}$
$= | | \vec{P Q} | | = \sqrt{1 + 9 + 25} = \sqrt{35}... | 2019-07-21T19:11:54 | {"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://stacks.math.columbia.edu/tag/0GYW | Lemma 21.43.2. In the situation above, the subcategory $\mathit{QC}(\mathcal{O})$ is a strictly full, saturated, triangulated subcategory of $D(\mathcal{O})$ preserved by arbitrary direct sums.
Proof. Let $U$ be an object of $\mathcal{C}$. Since the topology on $\mathcal{C}$ is chaotic, the functor $\mathcal{F} \mapst... | 2022-07-03T02:17:24 | {"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": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://shanzi.gitbooks.io/algorithm-notes/content/problem_solutions/n_sum.html | # N-Sum
N-Sum is a common problem in interview, there are four different related problems on LeetCode, they are Two Sum, 3Sum, 3Sum Closest and 4Sum.
Generally speaking, all N-Sum problem with N > 2 is based on Two Sum. We will talk start from it.
## Two sum
To solve two sum, we first need to sort the array to make... | 2022-06-29T06:23:54 | {"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://petlja.org/biblioteka/r/lekcije/TxtProgInPythonEng/03_pygame-03_pygame_21_animation_basics | # Obeleži sve kategorije koje odgovaraju problemu
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# How to make an animation¶
A s... | 2020-07-02T09:26:13 | {"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... |
http://math.stackexchange.com/questions/139823/show-that-the-assumption-of-right-continuity-in-the-statement-of-the-stopping-th | # Show that the assumption of right-continuity in the statement of the stopping theorem cannot be omitted
In our homework assignment, we were supposed to find an example showing that the assumption of right-continuity in the statement of the stopping theorem cannot be omitted in general (cf. http://www.math.ethz.ch/ed... | 2013-12-12T10:46:48 | {"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://homework.cpm.org/category/CON_FOUND/textbook/a2c/chapter/9/lesson/9.3.2/problem/9-153 | ### Home > A2C > Chapter 9 > Lesson 9.3.2 > Problem9-153
9-153.
1. Solve each equation. Be sure to check your answers. Homework Help ✎
Square both sides.
Set the equation equal to 0.
Factor the equation.
$\sqrt{\textit{x}}=\textit{x}-2$
x = x2 − 4x + 4
x2 − 5x + 4 = 0
(x − 4)(x − 1)
x = 4
You will need to squ... | 2020-02-25T23:00:46 | {"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... |
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