url string | text string | date timestamp[s] | metadata string |
|---|---|---|---|
https://zbmath.org/?q=an:1087.68045 | ## Grammars with context conditions and their applications.(English)Zbl 1087.68045
Hoboken, NJ: John Wiley & Sons (ISBN 0-471-71831-9/hbk; 978-0-471-73656-1/ebook). ix, 216 p. (2005).
The study of grammars with context conditions is an important area of formal language theory. Up to now results in this area have been ... | 2022-05-23T14:39:20 | {"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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://socratic.org/questions/how-do-you-divide-2-5i-3i | # How do you divide (-2-5i)/(3i)?
Feb 13, 2016
Solution is $- \frac{5}{3} + \left(\frac{2}{3}\right) i$
#### Explanation:
To solve (−2−5i)/(3i)
multiply numerator and denominator by $i$ (note ${i}^{2} = - 1$)
and we get
(i*(−2−5i))/(i*(3i) or $\frac{- 2 i - 5 {i}^{2}}{3 {i}^{2}}$
or $\frac{- 2 i - 5 \left(- 1\r... | 2019-06-27T12:55:14 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 14, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://icpc.njust.edu.cn/Problem/Zju/3820/ | # Building Fire Stations
Time Limit: 5 Seconds
Memory Limit: 131072 KB
## Description
Marjar University is a beautiful and peaceful place. There are N buildings and N - 1 bidirectional roads in the campus. These buildings are connected by roads in such a way that there is exactly one path between any two buildings.... | 2019-08-24T13:40:15 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathcentral.uregina.ca/QQ/database/QQ.09.11/h/sugavanas1.html | SEARCH HOME
Math Central Quandaries & Queries
Question from Sugavanas, a student: If length of a rectangle exceeds its width by 5 m. if the width is increased by 1m and the length is decreased by 2 m, the area of the new rectangle is 4 sq m less than the area of the original rectangle. Find the dimensions of the orig... | 2020-07-05T11:39:10 | {"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": 2, "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/137332/relationship-between-ratios-and-averages-of-ratios | # Relationship between ratios and averages of ratios?
My colleague and I were wondering: For a weighted average of ratios - what weight would need to be assigned to each term in the expression such that the result of the weighted average was the same as the sum of the numerators in the ratios divided by the sum of the... | 2019-10-17T10:38:39 | {"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://brilliant.org/discussions/thread/remember-the-preliminaries/ | ×
# remember the preliminaries!
1)(a+b)^n - a^n - b^n is always divisible by ab for all n belongs to N.
2) a polynomial of odd degree will always have one of its roots to be either +1 or -1.
Note by Raven Herd
2 years, 9 months ago
MarkdownAppears as
*italics* or _italics_ italics
**bold** or __bold__ bold
- bullet... | 2018-03-19T20:38:34 | {"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": 1, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://math.stackexchange.com/questions/1153324/line-with-predefined-length-tangent-to-circle | # Line with predefined length tangent to circle
I have one math problem which I'm trying to solve. I know it could be done but I'm a little bit "rusty" with my algebra. I'm kindly asking for help.
Problem and procedure of my solution are shown in attached image. I'm trying to find general solution for line equation (... | 2019-05-20T12:36:39 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://danielhnyk.cz/numpy-pandas-reducing-dtype-size/ | # Reducing dtype size of a Numpy/Pandas array
I run into memory problem when processing very large dataframe.
The problem is that Pandas use float64 and int64 numpy dtypes by default even in cases when it is totally unnecessary (you have e.g. only binary values). Furthermore, it is not even possible to change this de... | 2021-04-22T10:13:17 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://cpr-mathph.blogspot.com/2012/05/12055201-karl-hermann-neeb.html | ## Semibounded Unitary Representations of Double Extensions of Hilbert--Loop Groups [PDF]
Karl-Hermann Neeb
A unitary representation of a, possibly infinite dimensional, Lie group $G$ is called semibounded if the corresponding operators $i\dd\pi(x)$ from the derived representation are uniformly bounded from above o... | 2019-11-13T00:38:12 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://www.imati.cnr.it/index.php/it/news-2/715-seminario-matematica-applicata76 | Martedì 16 Aprile 2019, alle ore 15 precise, presso la sala conferenze dell’IMATI-CNR di Pavia la
d.ssa Alessandra Pluda, Università di Pisa
terrà un seminario dal titolo:
Long Time Existence of Solutions to an Elastic Flow of Networks
nell'ambito del Seminario di Matematica Applicata (IMATI-CNR e Dipartimento di M... | 2019-08-20T05:19:58 | {"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... |
http://linear.ups.edu/html/chapter-E.html | When we have a square matrix of size $n$, $A$, and we multiply it by a vector $\vect{x}$ from $\complex{n}$ to form the matrix-vector product (Definition MVP), the result is another vector in $\complex{n}$. So we can adopt a functional view of this computation — the act of multiplying by a square matrix is a function t... | 2018-05-26T15:22:29 | {"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://or.stackexchange.com/questions/4732/how-to-formulate-this-problem | # How to formulate this problem?
I have a matrix in the size of $$S \in \mathbb{R}^{M\times N}$$ with only binary values $$0..1$$.
I want to select $$m rows from $$S$$ and sum the $$m$$ rows to get a new vector $$v$$.
I wish $$v$$ to be close to the uniform distribution. Currently, I am thinking of normalizing $$v$$... | 2021-09-21T05:19:17 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://archive.mcpt.ca/cpt-lessons/advanced/disjoint-set/ | # This content is archived!
For the 2018-2019 school year, we have switched to using the WLMOJ judge for all MCPT related content. This is an archive of our old website and will not be updated.
# Disjoint Set
This is an example of a disjoint set:{1, 2, 4}, {5}, {7, 8}. There are 3 sets in total, wich each one contai... | 2021-09-26T16:16:31 | {"extraction_info": {"found_math": true, "script_math_tex": 11, "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/ma... |
http://linearalgebras.com/5a.html | # Chapter 5 Exercise A
1. Solution: (a) For any $u\in U$, then $Tu=0\in U$ since $U\subset \m{null} T$, hence $U$ is invariant under $T$.
(b) For any $u\in U$, then $Tu\in\m{range} T \subset U$, hence $U$ is invariant under $T$.
2. Solution: See Linear Algebra Done Right Solution Manual Chapter 5 Problem 4. Let $\la... | 2018-04-26T17:07:39 | {"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": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://mathematica.stackexchange.com/questions/221298/inverse-of-diracdelta-at-0-is-99-5 | # Inverse of DiracDelta at 0 is 99/5?
Here in this other question of mine I asked the question, but maybe here is more pertinent.
When using Mathematica we can find the following result:
InverseFunction[DiracDelta][0] == 99/5 (* returns True *)
Is this a bug or is it actually a real result? If it is a valid result... | 2022-07-06T23:16:14 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.researchgate.net/publication/328091774_Longest_Property-Preserved_Common_Factor | PreprintPDF Available
# Longest Property-Preserved Common Factor
Authors:
Preprints and early-stage research may not have been peer reviewed yet.
## Abstract
In this paper we introduce a new family of string processing problems. We are given two or more strings and we are asked to compute a factor common to all str... | 2022-06-29T08:17:10 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://physics.stackexchange.com/questions/327971/microcanonical-ensemble-confusion | # Microcanonical ensemble confusion
I am a bit confused about the difference between macrostate and microstate in the microcanonical ensemble. So I have read that for the microcanonical ensemble, the probabilities of each microstate are equal $$p = 1/\Omega$$ where $\Omega$ is the number of microstates. For a given nu... | 2021-01-18T11:02:03 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://ham.stackexchange.com/questions/1410/what-is-the-peak-voltage-at-the-tips-of-a-dipole-antenna | # What is the peak voltage at the tips of a dipole antenna?
What is the peak voltage present at the very end tips of half-wave dipole antenna in free space, and how might this peak voltage relate to transmitter type, transmitter power, RF frequency vs. antenna half-wave frequency mismatch, feed line, SWR, wire diamete... | 2020-01-28T19:17:24 | {"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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://solvedlib.com/n/2d-moments-when-computing-the-2d-moment-about-a-pivot-axis,3472450 | # 2D Moments When computing the 2D moment about a pivot axis named € , caused by a force distributed over
###### Question:
2D Moments When computing the 2D moment about a pivot axis named € , caused by a force distributed over an area, the work expectations are: 1. State the axis of integration: x-axis for thin v... | 2022-07-03T17:00:29 | {"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": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://proofwiki.org/wiki/Euler%27s_Formula/Real_Domain/Proof_4 | # Euler's Formula/Real Domain/Proof 4
## Theorem
Let $\theta \in \R$ be a real number.
Then:
$e^{i \theta} = \cos \theta + i \sin \theta$
## Proof
Note that the following proof, as written, only holds for real $\theta$.
Define:
$\map x \theta = e^{i \theta}$
$\map y \theta = \cos \theta + i \sin \theta$
Consid... | 2023-02-01T09:19:11 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 2, "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/2643604/find-an-unbiased-estimator-of-a-function-of-a-parameter | # Find an Unbiased Estimator of a Function of a Parameter [duplicate]
Suppose that $Y_1,...,Y_n$ is an IID sample from a uniform distribution $U(\theta,1)$ The method of moments estimator is $\hat \theta=2\bar Y-1$.
Find an unbiased estimator, call it $\hat \beta$, of the quantity:
$$\frac{1-\theta}{\sqrt{3n}}$$
I ... | 2019-05-25T23:39:53 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://math.stackexchange.com/questions/27266/expected-time-to-k-th-occurence?answertab=oldest | # Expected time to $k$-th occurence
I was trying to solve the following exercise:
Suppose that the sequence of independent events $\{A_i\}$ satisfies $$\phi(n) = \sum_{i=1}^{n} P(A_i) \rightarrow \infty \text{ as } n \rightarrow \infty$$ and let $\tau_k :=\min\{n | \sum_{i=1}^{n} 1(A_i) = k\}$. By applying Doob's sto... | 2014-03-12T06:13:57 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.cheenta.com/cmi-2015/?replytocom=454 | Select Page
## Objective
1. For all finite word strings comprising A and B only, A string is arranged by dictionary order. eg. ABAA
2. For any arbitrary string w, with another string y<w, there cannot always exist a string x, w<x<y
3. There is an infinite set of strings a1,a2… such that ai<a(i+1) for all i.
4. There... | 2018-09-22T18:47:18 | {"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": 40, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://www.koreascience.or.kr/article/ArticleFullRecord.jsp?cn=E1EEFQ_2008_v3n2_218 | Multi-Objective Optimal Design of a Single Phase AC Solenoid Actuator Used for Maximum Holding Force and Minimum Eddy Current Loss
Title & Authors
Multi-Objective Optimal Design of a Single Phase AC Solenoid Actuator Used for Maximum Holding Force and Minimum Eddy Current Loss
Yoon, Hee-Sung; Eum, Young-Hwan; Zhang, Y... | 2018-01-19T08:02:21 | {"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": 0, "wp_latex": 0, "mimetex.cgi": 1, "/images/mat... |
http://mathoverflow.net/revisions/31092/list | 2 suggested a new approach
UPDATE 07.11 : I have what I think are two toolsto tackle the problem. The first tool is the bounded widthbranch: Given n, form the branch suggested above startingwith x_n "representing" 1/n, placing x_2n at x_n - 1/2n and x_2n+1 at x_n + 1/(2n+1), and continuing recursively. Theactual tool ... | 2013-06-18T06:34:12 | {"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://curriculum.covidstudentresponse.org/module-2-epidemiology-principles/introduction-to-epidemiological-terms | Introduction to Epidemiological Terms
# Epidemic Parameters
Attack rate/ratio: Refers to the (number of new cases of disease)/(population at risk) during a specified time interval. Generally, the time interval here is defined as “the duration of the outbreak.” (CDC)
R0 (basic reproduction number or “R naught”): Refer... | 2022-01-25T02:14:09 | {"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://nrich.maths.org/public/leg.php?code=-99&cl=2&cldcmpid=6280 | Search by Topic
Resources tagged with Working systematically similar to Eight Hidden Squares:
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There are 325 results
Broad Topics > Using, Applying and Reasoning about Mathematics > Working systematically
Squares in Rectangles
Stage: 3 Challenge Level:
A 2 by 3 rec... | 2014-11-23T21:21:33 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://eprint.iacr.org/2018/429 | ## Cryptology ePrint Archive: Report 2018/429
Amortized Complexity of Information-Theoretically Secure MPC Revisited
Ignacio Cascudo and Ronald Cramer and Chaoping Xing and Chen Yuan
Abstract: A fundamental and widely-applied paradigm due to Franklin and Yung (STOC 1992) on Shamir-secret-sharing based general $n$-pl... | 2018-12-15T02:58:42 | {"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": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://socratic.org/questions/53742f9602bf34081882d93b | # Question #2d93b
May 15, 2014
The equation used to relate object distance (${d}_{o}$), image distance (${d}_{i}$), and focal length ($f$)for a spherical mirror is:
$\frac{1}{{d}_{o}} + \frac{1}{{d}_{i}} = \frac{1}{f}$
With convex mirrors, you must be careful because the focal length of the mirror is negative becau... | 2019-05-24T05:24:34 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 9, "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://leanprover-community.github.io/archive/stream/116395-maths/topic/int.20is.20a.20ring.html | ## Stream: maths
### Topic: int is a ring
#### Kevin Buzzard (Jun 28 2020 at 15:45):
I'm so nearly there. Those sorries should be done by automation. Kenny told me an earlier simp fix which made simp not get stuck in a hole in the proof of add_assoc, but it's stuck in another one with the distrib lemmas.
import tac... | 2021-05-09T10:19:13 | {"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://physics.stackexchange.com/questions/408411/conservation-of-energy-in-the-breaking-of-glass/408425 | # Conservation of energy in the breaking of glass
How is energy conserved when I throw a heavy metal ball at a piece of glass and cause it to shatter? The ball starts off with significant kinetic energy and ends up with very little. The glass sees what I think can be a small change in potential energy, depending on ho... | 2019-12-09T21:16:23 | {"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://www.cut-the-knot.org/m/Geometry/slanted_viviani.shtml | # Slanted Viviani, PWW
### Problem
$ABC$ is an equilateral triangle. Cevians $AD,$ $BE,$ $CF$ are equal (and, for the esthetics' sake, equally inclined to the corresponding sides.) Points $M,N,P$ are on $BC,AC,AB,$ respectively, such that $OM\parallel AD,$ $ON\parallel BE,$ and $OP\parallel CF.$
Prove that $OM+ON+OP... | 2018-12-12T17:09:40 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://golem.ph.utexas.edu/~distler/blog/archives/2005_06.shtml | ## June 28, 2005
### Here a Pod, There a Pod
iTunes 4.9 is out, with its previously-announced support for podcasts. The podcast directory at the iTunes Music Store is very extensive, and makes subscribing to a podcast the same one-click experience that iTMS users are accustomed to for purchasing music.
My favourite ... | 2022-10-04T06:20:15 | {"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://boolesrings.org/asafk/papers/ | # Papers
In here you can find the things that I have written.
### Publications:
• (2017) with Yair Hayut, Spectra of uniformity, submitted. (arXiv)
• (2017) The Bristol model: an abyss called a Cohen real, submitted. (arXiv)
• (2016) Fodor’s lemma can fail everywhere, Acta Math. Hungar. (2018) 154:231. (Journal/arXi... | 2018-03-21T14:46:31 | {"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://math.stackexchange.com/questions/1515970/uncountably-many-norms-such-that-no-two-are-lipschitz-equivalent | # Uncountably many norms such that no two are Lipschitz equivalent
I am struggling with the following question:
Is it possible to find uncountably many norms on $C[0,1]$ such that no two are Lipschitz equivalent?
I had thought about trying to define norms for each real number r>1:
$$\|f\|_r =\left( \int_0^1 f(x)^r ... | 2020-01-25T11:25:35 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://zbmath.org/?q=an:1099.35089&format=complete | # zbMATH — the first resource for mathematics
Additional note on partial regularity of weak solutions of the Navier-Stokes equations in the class $$L^\infty (0,T,L^3(\Omega )^3)$$. (English) Zbl 1099.35089
Weak solutions to the classical nonhomogeneous Navier-Stokes problem in a bounded domain $$\Omega \subset \mathbb... | 2021-11-29T05:30:24 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://lists.nongnu.org/archive/html/axiom-developer/2006-02/msg00294.html | axiom-developer
[Top][All Lists]
## [Axiom-developer] [DistributedMultivariatePolynomial] (new)
From: hemmecke Subject: [Axiom-developer] [DistributedMultivariatePolynomial] (new) Date: Tue, 21 Feb 2006 04:56:30 -0600
Changes http://wiki.axiom-developer.org/DistributedMultivariatePolynomial/diff
--
The use of
\begi... | 2021-07-30T00:47:15 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://mathhelpboards.com/threads/ebs-question-at-yahoo-answers-regarding-distance-parametric-equations-and-slope.4506/ | # eb's question at Yahoo! Answers regarding distance, parametric equations and slope
#### MarkFL
Staff member
Here is the question:
Distance formula problem?
Sally and Hannah are lost in the desert. Sally is 5 km north and 3 km east of Hannah. At the same time, they both begin walking east. Sally walks at 2 km/hr a... | 2021-06-24T11:15:45 | {"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... |
http://www.zora.uzh.ch/121651/ | # The $q_T$ subtraction method for top quark production at hadron colliders
Bonciani, Roberto; Catani, Stefano; Grazzini, Massimiliano; Sargsyan, Hayk; Torre, Alessandro (2015). The $q_T$ subtraction method for top quark production at hadron colliders. European Physical Journal C - Particles and Fields, 75:581.
## Ab... | 2016-10-21T11:43:04 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://ec.gateoverflow.in/3159/gate-ece-2000-question-1-12 | 19 views
The Fourier Transform of the signal $x(t)=\mathrm{e}^{-3 \mathrm{t}^{2}}$ is of the following form, where $A$ and $B$ are constants
1. $\mathrm{A} e^{-\mathrm{B}|f|}$
2. $\mathrm{A} e^{-\mathrm{B} f}$
3. $\mathrm{A}+\mathrm{B}|f|^{2}$
4. $\mathrm{A} e^{-B f}$ | 2022-12-09T11:54:17 | {"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://par.nsf.gov/biblio/10365864-thermal-emission-scattering-aligned-grains-plane-parallel-model-application-multiwavelength-polarization-hl-tau-disc | Thermal emission and scattering by aligned grains: Plane-parallel model and application to multiwavelength polarization of the HL Tau disc
ABSTRACT
Telescopes are now able to resolve dust polarization across circumstellar discs at multiple wavelengths, allowing the study of the polarization spectrum. Most discs show c... | 2023-03-27T16:51:53 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://mathoverflow.net/questions/356401/a-permutation-group-inducing-a-topologically-transitive-action-without-dense-orb | # A permutation group inducing a topologically transitive action without dense orbits on $\omega^*$
Let $$G$$ be a subgroup of the permutation group $$S_\omega$$ of the countable infinite set $$\omega$$. Each bijection $$g\in G$$ admits a unique extension to a homeomorphism $$\bar g$$ of the Stone-Cech compactificatio... | 2020-07-02T19:00:15 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://nbviewer.jupyter.org/github/opesci/devito/blob/master/examples/cfd/01_convection.ipynb | ## Devito CFD Tutorial series¶
The following series of notebook tutorials will demonstrate the use of Devito and it's SymPy-based API to solve a set of classic examples from Computational Fluid Dynamics (CFD). The tutorials are based on the excellent tutorial series CFD Python: 12 steps to Navier-Stokes by Lorena Barb... | 2019-03-18T14:18:15 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.physicsforums.com/threads/electric-field-along-the-y-axis-of-a-charged-semicircle.683316/ | # Electric field along the y-axis of a charged semicircle
1. Apr 5, 2013
### dumbperson
1. The problem statement, all variables and given/known data
Find the electric field along the y-axis of a charged semicircle (with the center of the circle in the origin) with radius R, with a uniform charge distribution $$\lam... | 2017-10-17T23:11:48 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://gonitsora.com/the-pi-day-of-our-lives/ | ## 13 Mar The Pi Day of our lives
Download this post as PDF (will not include images and mathematical symbols).
Pi Day Doodle by Google in 2010
As most of us know, March 14th every year is celebrated by mathematicians all over the world as $\pi$ Day. The reason for this is quite simple: March 14 is written as 3-14 i... | 2018-07-18T22:28:04 | {"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": 0, "mathjax_asciimath": 0, "img_math": 14, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://math.stackexchange.com/questions/2470438/is-this-discrete-time-system-time-invariant | # Is this discrete-time system time-invariant?
For a discrete-time system, the input signal is $x(n)$, the output signal is
$y[n] = x[n+1] - x[1-n]$
I think it's time-invariant, but the solution's manual says it's not.
My procedure is: $T\{x[n-k]\} = x[n - k + 1] - x[1 - (n - k)] = x[n - k + 1] - x[1 - n + k]$
$y[... | 2020-02-25T22:40:19 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://socratic.org/questions/how-do-you-find-the-range-of-y-z-2-3z-given-domain-1-0-1-2 | # How do you find the range of y = z^2 - 3z; given Domain = {-1, 0, 1, 2}?
Sep 8, 2016
$\text{The Range=} \left\{4 , 0 , - 2\right\}$.
#### Explanation:
$y = {z}^{2} - 3 z \text{, and, let } D = \left\{- 1 , 0 , 1 , 2\right\}$.
By, Range of the given function, we mean, the Set of all values of
$y$, to be determin... | 2019-11-16T20:55:12 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 11, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://www.physicsforums.com/threads/angular-momentum-and-impulse.828781/ | # Angular momentum and impulse
Tags:
1. Aug 21, 2015
### 24forChromium
Hopefully the image is self-explanatory, if not:
A cylinder is rotating around its central axis with angular momentum L1; an angular impulse, ΔL is then added to the cylinder, perpendicularly with respect to L1.
The hypothetical result is: the ... | 2017-08-22T13:58:44 | {"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": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://math.stackexchange.com/questions/47878/liouvilles-theorem-for-subharmonic-functions | # Liouville's theorem for subharmonic functions
Liouville's theorem states that a bounded entire function must be constant. A generalization of this is the Liouville theorem for subharmonic functions in the plane. I am looking for a proof of this assertion.
-
This article gives a proof of the following version of Li... | 2016-02-08T19:08:00 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://jdh.hamkins.org/famous-quotations-in-their-original-language/?replytocom=7154 | # Famous quotations in their original first-order language
Historians everywhere are shocked by the recent discovery that many of our greatest thinkers and poets had first expressed their thoughts and ideas in the language of first-order predicate logic, and sometimes modal logic, rather than in natural language. Some... | 2019-11-21T01:28:59 | {"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": 1, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://math.stackexchange.com/questions/3155099/prove-t-sup-x-1-tx | # Prove $\|T\| = \sup_{\|x\| < 1} \|Tx\|$
Let $$X, Y$$ be Banach spaces. And $$T \in B(X\rightarrow Y)$$. Prove that $$\|T\| = \sup_{\|x\| < 1} \|Tx\|$$
## Discussion
Having trouble seeing how to handle some of these ideas below. Please let me know if there's a simpler way or if I'm on the right track.
## Attempt
... | 2019-05-22T14:57:47 | {"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://socratic.org/questions/how-do-you-write-log0-001-x-in-exponential-form | # How do you write log0.001=x in exponential form?
Oct 26, 2015
If we're using base $10$, and I assume we are, $\log$ $\left(0.001\right)$ $=$ $- 3$. Why?
#### Explanation:
When we write ${\log}_{a} b = c$, we are asking to what power we raise the base $a$ to get $c$. Here, ${a}^{c} = b$.
Here the base is $10$. So... | 2020-04-07T17:28:04 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 26, "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://sat.kmf.com/practice/exercise/reading/23 | ## OG Test 4 - Reading 1
Question 1
A musician has a new song available for downloading or streaming. The musician earns $0.09 each time the song is downloaded and$0.002 each time the song is streamed. Which of the following expressions represents the amount, in dollars, that the musician earns if the song is downloa... | 2018-09-20T00:57:18 | {"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": 2, "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/a-charge-of-6-c-passes-through-a-circuit-every-3-s-if-the-circuit-can-generate-4 | # A charge of 6 C passes through a circuit every 3 s. If the circuit can generate 4 W of power, what is the circuit's resistance?
$\text{The current in the circuit"(I)="Charge passing through it"/"Time}$
$= \frac{6 C}{3 s} = 2 A$
Now $\text{Power} \left(P\right) = {I}^{2} \times R$, where R = Resistance
So$R = \frac{P... | 2022-08-10T14:15:14 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 4, "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://firedrake-fluids.readthedocs.io/en/latest/stabilisation_methods.html | # Stabilisation methods¶
When using a continuous Galerkin discretisation in advection-dominated problems, it may be necessary to stabilise the advection term in the momentum equation.
The implementation of the stabilisation methods can be found in the file stabilisation.py.
## Streamline upwind¶
This method adds so... | 2022-07-01T13:37:23 | {"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": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.physicsforums.com/threads/differential-forms-as-a-basis-for-covariant-antisym-tensors.914030/ | # I Differential forms as a basis for covariant antisym. tensors
Tags:
1. May 8, 2017
### Physics_Stuff
In a text I am reading (that I unfortunately can't find online) it says:
"[...] differential forms should be thought of as the basis of the vector space of totally antisymmetric covariant tensors. Changing the us... | 2018-01-21T07:29:17 | {"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://www.physicsforums.com/threads/about-normalization-of-periodic-wave-function.887203/ | # I About normalization of periodic wave function
1. Sep 29, 2016
### KFC
Hi all,
I am reading something on wave function in quantum mechanics. I am thinking a situation if we have particles distributed over a periodic potential such that the wave function is periodic as well. For example, it could be a superpositio... | 2017-08-21T14:43:05 | {"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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://homework.cpm.org/category/CCI_CT/textbook/pc/chapter/5/lesson/5.2.1/problem/5-53 | ### Home > PC > Chapter 5 > Lesson 5.2.1 > Problem5-53
5-53.
The surface area $S$ of a sphere is directly proportional to the square of the radius $r$
1. Express $S$ as a function of $r$.
Do not forget the constant of proportionality ($k$).
$S\left(r\right) = kr^{2}$
2. Solve for the particular value of $k$ if th... | 2021-10-21T19:13:16 | {"extraction_info": {"found_math": true, "script_math_tex": 13, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://www.sangakoo.com/en/unit/angles-in-radians | We know how to measure the range of an angle using degrees, which can also be divided into the submultiple minutes and seconds.
But there is another way of measuring angles. It can be done by using units called radians.
One radian is the angle obtained when the radius is taken and put around the circle. Let's see an ... | 2020-06-05T03:27:36 | {"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... |
https://math.stackexchange.com/questions/578585/subtracting-off-first-coordinate-to-get-divergence-free-vector-field | # Subtracting off first coordinate to get divergence-free vector field
Let $v$ be a vector field on $\mathbb{R}^n$. Show that $v$ can be written as a sum $v=f_1\dfrac{\partial}{\partial x_1}+w$ where $w$ is a divergence-free vector field.
Suppose $v=v_1\dfrac{\partial}{\partial x_1}+v_2\dfrac{\partial}{\partial x_2}+... | 2019-11-15T02:36:37 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://www.slideserve.com/kyle-jensen/more-bandstructure-discussion | This presentation is the property of its rightful owner.
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# More Bandstructure Discussion PowerPoint PPT Presentation
More Bandstructure Discussion. Model Bandstructure Problem One-dimensional, “almost free” electron model (easily generalized to 3D!) (BW, Ch. 2 & Kittel’s book, Ch. 7). “ Almost free ” electron ... | 2016-10-21T21:54:17 | {"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/225749/permutations-functions | # Permutations & Functions
This is an assignment question I received a week ago.
A function $f:\{1, 2, \dots ,n\} \to \{1, 2, \dots, n\}$ which is a bijection is also called a permutation. Let $P_n$ be the set of all permutations on $\{1, 2, \dots , n\}$. Define the relation $\sim$ on $P_n$ by $f\sim g$ iff there exi... | 2015-06-30T06:20:23 | {"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://www.physicsforums.com/threads/antiderivative-and-intergrals.226425/ | # Antiderivative and Intergrals
1. Apr 3, 2008
### viper2308
1. The problem statement, all variables and given/known data
$$\int$$ (X-1) $$\sqrt{X}$$ dx
3. The attempt at a solution
It is multiple choice, I believe the answer is either (2/5)x^(5/2)-(2-3)x^(3/2)+c or
(1/2)x^2+2x^(3/2)-x+c
I have tried to find the d... | 2016-12-08T22:38:47 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.jobilize.com/course/section/recovery-via-convex-optimization-by-openstax?qcr=www.quizover.com | # 0.7 Compressed sensing (Page 3/5)
Page 3 / 5
The second statement of the theorem differs from the first in the following respect: when $K , there will necessarily exist $K$ -sparse signals $x$ that cannot be uniquely recovered from the $M$ -dimensional measurement vector $y=\Phi x$ . However, these signals form a... | 2019-11-13T02:04:24 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 49, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://bvtermpaperracb.skylinechurch.us/a-discussion-on-the-two-limit-cases-of-sin.html | # A discussion on the two limit cases of sin
The infinite discontinuity is the result of the first two conditions not holding true this is also a non removable discontinuity as the limit does not exist at x can be removed by defining the function value equal to the limit, as the limit exists in this case sequence and ... | 2018-08-19T13:31:51 | {"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://www.wikitechy.com/tutorial/mathml/mathml-basic-elements | # MathML Basic Elements
• The most basic elements of MathML are: mrow, mi, mo and mn.
Basic Elements
Index Elements Descriptions
1. <mrow> element The MathML <mrow> element is used to group any number of sub expressions horizontally.
2. <mi> element The MathML <mi> element is used to specify an identifier.
3. <mo> e... | 2022-07-06T01:17:34 | {"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://brilliant.org/problems/nt-is-quite-popular/ | # NT is quite popular
Number Theory Level 3
Find the largest positive integer $$n$$ for which $$n^3+100$$ is divisible by $$n+10$$.
× | 2016-10-26T11:28:09 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathoverflow.net/questions/116831/tensor-rank-of-anti-symmetric-tensor | # Tensor rank of anti-symmetric tensor
Let $V$ be a vector space of dimension $n$. Let us consider $V^{\otimes n}=V\otimes V \ldots \otimes V$. This vector space contains one dimentional vector space $\wedge^n V$. My question is does it something is known about the tensor rank of the vector $\wedge^n V$?
More formall... | 2014-12-26T19:19:17 | {"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://www.aimsciences.org/article/doi/10.3934/proc.2011.2011.485 | # American Institute of Mathematical Sciences
2011, 2011(Special): 485-494. doi: 10.3934/proc.2011.2011.485
## Transport and generation of macroscopically modulated waves in diatomic chains
1 Weierstraß-Institut für Angewandte Analysis und Stochastik, Mohrenstraße 39, D-10117 Berlin
Received August 2010 Revised ... | 2021-01-16T08:41:35 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.esaral.com/q/a-chord-of-length-16-cm-is-drawn-in-a-circle-of-radius-10-cm-88460 | # A chord of length 16 cm is drawn in a circle of radius 10 cm.
Question:
A chord of length 16 cm is drawn in a circle of radius 10 cm. Find the distance of the chord from the centre of the circle.
Solution:
Let AB be the chord of the given circle with centre O and a radius of 10 cm.
Then AB =16 cm and OB = 10 cm
... | 2023-03-21T18:19:32 | {"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... |
http://www.gradesaver.com/textbooks/math/algebra/intermediate-algebra-6th-edition/chapter-5-section-5-4-multiplying-polynomials-exercise-set-page-290/96 | ## Intermediate Algebra (6th Edition)
Published by Pearson
# Chapter 5 - Section 5.4 - Multiplying Polynomials - Exercise Set: 96
#### Answer
$2x$ and $3x$ cannot be added together as $3x$ has to be multiplied to $12-x$.
#### Work Step by Step
$2x$ and $3x$ cannot be added together as $3x$ has to be multiplied to... | 2018-04-19T19:55:49 | {"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... |
https://math.uiowa.edu/calendar/operator-theory-seminar-134 | # Operator Theory Seminar
Speaker:
Ishan Ishan, Vanderbilt University
Topic:
Von Neumann equivalence
Abstract:
The notion of measure equivalence of groups was introduced by Gromov as the measurable counterpart to the topological notion of quasi-isometry. Another well-studied notion is that of $W^*\!$-equivalence whi... | 2021-09-19T01:42:39 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathhelpforum.com/algebra/106530-2-inequalitie-questions-s-1wiv-fractions-other-modulus-print.html | # 2 Inequalitie Questions :s (1wiv fractions, other with modulus)
• October 6th 2009, 02:04 PM
Kevlar
2 Inequalitie Questions :s (1wiv fractions, other with modulus)
Doing some private study from textbook and come across these 2 questions i need help with.
1.
$\frac{3}{3x-2}>\frac{1}{x+4}$
My working
$3(x+4)>3x-2$
$x... | 2014-03-09T23:42:01 | {"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": 7, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://stats.stackexchange.com/questions/353214/usage-of-hidden-markov-models/354258 | # Usage of Hidden Markov Models
I have a set of questions regarding how HMMs are used.
Context: there is a stream of real numbers or real number vectors (e.g. data from a phone accelerometer) and the goal is to detect that an action has just happened based on the data from this stream. Only one type of action is cons... | 2020-04-07T20:48:40 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://math.libretexts.org/Bookshelves/Combinatorics_and_Discrete_Mathematics/Book%3A_Elementary_Number_Theory_(Raji)/2%3A_Prime_Numbers/2.2%3A_The_Infinitude_of_Primes | Skip to main content
# 2.2: The Infinitude of Primes
$$\newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} }$$
$$\newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}}$$
We now show that there are infinitely many primes. There are several ways to prove this result. ... | 2019-08-24T18:49:58 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 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?p=1883114 | Recognitions:
Homework Help
## Solving inhomogenous wave equation
Yep, and
$$\sum_{n=1}^{\infty} \frac{1}{(2n-1)^{4}} =\frac{\pi^{4}}{96}$$
$$\Rightarrow \sum_{n=1}^{\infty} \frac{1}{(2n-1)^{4}} = \sum_{m+1=1}^{\infty} \frac{1}{(2(m+1)-1)^{4}} = \sum_{m=0}^{\infty} \frac{1}{(2m+1)^{4}}=\frac{\pi^{4}}{96}$$
Thank ... | 2013-05-20T11:48:15 | {"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://aimsciences.org/article/doi/10.3934/dcds.2009.23.617 | # American Institute of Mathematical Sciences
July 2009, 23(3): 617-638. doi: 10.3934/dcds.2009.23.617
## Front propagation in a noisy, nonsmooth, excitable medium
1 Department of Mathematics, University of Michigan, Ann Arbor, MI, 48109, United States 2 Department of Mathematics, Michigan State University, East L... | 2019-10-18T17:12:53 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.biogeosciences.net/17/2397/2020/ | Journal topic
Biogeosciences, 17, 2397–2424, 2020
https://doi.org/10.5194/bg-17-2397-2020
Biogeosciences, 17, 2397–2424, 2020
https://doi.org/10.5194/bg-17-2397-2020
Research article 05 May 2020
Research article | 05 May 2020
# Summarizing the state of the terrestrial biosphere in few dimensions
Summarizing the sta... | 2020-05-28T22:13:53 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 27, "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/ma... |
http://clay6.com/qa/19659/in-which-case-electron-from-bonding-molecular-orbital-is-removed- | Browse Questions
In which case electron from bonding molecular orbital is removed?
$\begin{array}{1 1}(a)\;O_2\; to \;O_2^+&(b)\; N_2\; to\; N_2^+\\(c)\; NO\; to\; NO^+&(d)\; O_2\; to\; O_2^-\end{array}$
$N_2$ to $N_2^+$ Electronic configuration of $N_2 = \sigma1s_2,\sigma^\ast 1s^2,\sigma 2s^2,\sigma^\ast 2s^2,\pi^... | 2017-06-28T21:10:18 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://plainmath.net/8640/write-polynomial-equal-possible-linear-combination-polynomials-plus | # write the polynomial P(x)=x^{2}, if possible as a linear combination of the polynomials 1+x,2+x^{2},−x.
Question
Polynomials
write the polynomial $$\displaystyle{P}{\left({x}\right)}={x}^{{{2}}},$$ if possible as a linear combination of the polynomials $$\displaystyle{1}+{x},{2}+{x}^{{{2}}},−{x}.$$
2021-01-14
Let $... | 2021-06-13T19:41:16 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://nrich.maths.org/4716/note | ### Egyptian Fractions
The Egyptians expressed all fractions as the sum of different unit fractions. Here is a chance to explore how they could have written different fractions.
### Weekly Problem 44 - 2013
Weekly Problem 44 - 2013
### Weekly Problem 26 - 2008
If $n$ is a positive integer, how many different value... | 2014-10-23T00:18:41 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://infoscience.epfl.ch/record/166520 | Infoscience
Journal article
# A stabilized finite volume element formulation for sedimentation-consolidation processes
A model of sedimentation-consolidation processes in so-called clarifier-thickener units is given by a parabolic equation describing the evolution of the local solids concentration coupled with a ver... | 2017-07-25T13:18:16 | {"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://tex.stackexchange.com/questions/226860/a-random-smooth-ellipse-in-tikz | # A random, smooth ellipse in TikZ
I've tried to do a random, smooth ellipse in TikZ with decorations and I came up with something similar like this, but the endpoints don't match:
\documentclass{article}
\usepackage{tikz}
\usetikzlibrary{decorations}
\usetikzlibrary{decorations.pathmorphing}
\begin{document}
\begin... | 2020-01-26T18:23:45 | {"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": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.josephcatrambone.com/?cat=5&paged=2 | # Game
It's done enough!
Standalone PC/OSX builds are pending.
Kudos to Peter Queckenstedt (@scutanddestroy) for doing an amazing job on the Proctor, Hillary, and Trump.
### Post-Mortem:
This has been a positive experience. I love games that actually have nontrivial interactions in them and completely open-ended ... | 2019-04-23T02:53:03 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://en.wikipedia.org/wiki/Potential_of_mean_force | # Potential of mean force
When examining a system computationally one may be interested in knowing how the free energy changes as a function of some inter- or intramolecular coordinate (such as the distance between two atoms or a torsional angle). The free energy surface along the chosen coordinate is referred to as t... | 2019-11-19T11:00:26 | {"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... |
https://stats.stackexchange.com/questions/292505/construct-hypothesis-test | # Construct hypothesis test
Given some Data $X_{1},X_{2},\ldots ,X_{n}$ we are interested in constructing a $\textbf{consistent}$ hypothesis test for $H_{0}:\theta =\theta _{0}$ vs. $H_{1}:\theta \neq \theta_{0}$. Suppose that there is a weak convergence result such as under $H_{0}$ $\alpha_{n}(T_{n}-\theta)\rightarro... | 2019-11-20T14:02:00 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.albert.io/ie/multivariable-calculus/circular-cylinder | Free Version
Moderate
# Circular Cylinder
MVCALC-RIEUBF
Let $S$ be a surface whose equation in cylindrical coordinates is $r=3\sin \theta$.
What kind of surface is $S$?
A
A plane.
B
A sphere.
C
A right circular cylinder.
D
A hyperboloid.
E
A hyperbolic paraboloid. | 2017-02-21T03:20:06 | {"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.physicsforums.com/threads/conditionally-convergence-of-a-product-of-a-conditonally-convergent-series.306986/ | # Conditionally convergence of a product of a conditonally convergent series
1. Apr 12, 2009
1. The problem statement, all variables and given/known data
1. Find a function such that infinite sum of anis conditionally convergent but infinite sum of (an)^3 does not converge conditionally
3. The attempt at a solution
... | 2017-11-22T17:07:06 | {"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/MAR12/Event/168185 | ### Session T26: Focus Session: Computational Frontiers in Quantum Spin Systems II
2:30 PM–5:30 PM, Wednesday, February 29, 2012
Room: 257B
Chair: Hans Gerd Evertz, Technical University of Graz
Abstract ID: BAPS.2012.MAR.T26.13
### Abstract: T26.00013 : Monte Carlo study of a $U(1)\times U(1)$ system with $\pi$-sta... | 2013-05-23T14:18:56 | {"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://fr.maplesoft.com/support/help/maple/view.aspx?path=MTM/beta | MTM/beta - Maple Help
Home : Support : Online Help : MTM/beta
MTM
beta
Beta function
Calling Sequence beta(X,Y)
Parameters
X, Y - array or expression
Description
• beta(X,Y) calls the Beta command.
• If X or Y is an rtable, table, set, or list, calls are made ina pairwise, or elementwise, way.
Examples
... | 2022-07-03T06:44:59 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 7, "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/how-do-you-multiply-x-5-x-4 | # How do you multiply (x + 5)(x - 4)?
Jul 8, 2015
${x}^{2} + x - 20$
#### Explanation:
To multiply two polynomials, you should use the FOIL (first outside inside last) method.
$\left(x + 5\right) \left(x - 4\right) = {\underbrace{x \cdot x}}_{\textcolor{b l u e}{\text{first")) + underbrace(x * (-4))_(color(blue)("... | 2020-01-22T17:00:40 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 4, "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://www.sawaal.com/odd-man-out-and-series-questions-and-answers/find-the-odd-number-nbspin-the-following-number-series-%0A-24-nbsp-nbsp-nbsp4-nbsp-nbsp-nbsp13-nbsp-n_12920 | 13
Q:
Find the odd number in the following number series?24 4 13 41 151 640
A) 4 B) 640 C) 41 D) 13
Explanation:
The given number series follows the pattern that,
24×0 + 4 = 4
4×1 + 9 = 13
13×2 + 16 = 42
42×3 + 25 = 151
151×4 + 36 = 640
Therefore, the odd number in the given seri... | 2018-02-21T02:52:20 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 3, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://byjus.com/question-answer/express-the-complex-number-dfrac-2-i-3-4i-in-a-ib-form/ | Question
Express the complex number $$\dfrac{2+i}{3-4i}$$ in $$a+ib$$ form.
Solution
Given the complex number is $$\dfrac{2+i}{3-4i}$$ $$=\dfrac{(2+i)(3+4i)}{3^2-16i^2}$$$$=\dfrac{2+11i}{25}$$$$=\dfrac{2}{25}+i\dfrac{11}{25}$$.This is the required $$a+ib$$ form.Mathematics
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Similar questions
... | 2022-01-25T01:58:44 | {"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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://socratic.org/questions/how-do-you-find-the-gcf-of-42-and-56 | How do you find the GCF of 42 and 56?
Jan 4, 2017
The GCF of $42$ and $56$ is $14$.
Explanation:
One method for finding the GCF of two numbers goes as follows:
• Divide the larger number by the smaller to get a quotient and remainder.
• If the remainder is $0$ then the smaller number is the GCF.
• Otherwise repe... | 2019-03-20T11:21:53 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 11, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://www.perimeterinstitute.ca/video-library/collection/quantum-foundations?page=9&qt-seminar_series=0 | A A
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# Quantum Foundations
This series consists of talks in the area of Foundations of Quantum Theory. Seminar and group meetings will alternate.
## Seminar Series Events/Videos
Currently there are no upcoming talks in this series.
## Physics, Logic and Mathematics of Time
Friday May 02, 2014
Spea... | 2017-10-22T10:23:26 | {"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": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://www.ck12.org/analysis/Simple-and-Compound-Interest/lesson/Simple-and-Compound-Interest-MAT-ALY/ | <img src="https://d5nxst8fruw4z.cloudfront.net/atrk.gif?account=iA1Pi1a8Dy00ym" style="display:none" height="1" width="1" alt="" />
Simple and Compound Interest
Use A = P(1 + r)^t to solve for A.
Estimated11 minsto complete
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Practice Simple and Compound Interest
MEMORY METER
This indicates how strong in y... | 2017-03-23T12:47:42 | {"extraction_info": {"found_math": true, "script_math_tex": 19, "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/ma... |
https://www.researchgate.net/project/High-order-numerical-solution-of-viscous-Burgers-equation-using-a-Cole-Hopf-barycentric-Gegenbauer-integral-pseudospectral-method | Project
# High-order numerical solution of viscous Burgers' equation using a Cole-Hopf barycentric Gegenbauer integral pseudospectral method
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We present a novel, high-order numerical method to solve viscous Burger's equation with smooth initial and boundary data. The p... | 2023-02-06T11:07:49 | {"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... |
https://bitbucket.org/rbeezer/fcla/src/235478062e4ddbb99ec55785bc4c2d23c91a994b/src/section-SSLE.xml | # fcla / src / section-SSLE.xml
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 ... | 2015-05-24T09:50:47 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://www.cs.cornell.edu/~bindel/class/cs5220-f15/slides/2015-09-17-lumped.html | # CS 5220 ## Parallelism and locality in simulation ### Lumped parameter systems ## 17 Sep 2015
### Lumped parameter simulations Examples include: - SPICE-level circuit simulation - nodal voltages vs. voltage distributions - Structural simulation - beam end displacements vs. continuum field - Chemical concentrations in... | 2017-11-17T22:59:15 | {"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... |
http://mathhelpforum.com/statistics/164453-table-made-nominal-scale-what-means.html | ## Table made from a Nominal Scale - What it means?
I am struggling to understand tables created from nominal scales. I understand what a nominal scale is, but a table of results for it just baffles me.
eg. (I cant draw this table in words, so her is an link to a picture of it, I assure you its safe)
http://lh3.ggpht... | 2015-03-04T05:26:08 | {"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... |
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