url string | text string | date timestamp[s] | metadata string |
|---|---|---|---|
https://gocalcul.us/precalculus/fxtheory.html | # Precalculus
Rules of Thumb
A function has no more than one output for any given input; if it has more than one, then it is not a function
What to Review
The graphs of polynomial functions
Graphs of other known functions
Definitions and Properties
Domain - the set of all values which can be operated on by a func... | 2022-05-28T02:12:23 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathhelpforum.com/advanced-statistics/119022-t-score-vs-z-score.html | # Math Help - T-score vs. Z-score
1. ## T-score vs. Z-score
Random variables (RVs) ‘X’ and ‘Y’ represent annual incomes of well established unmarried young professional men and women. These two RVs are normally distributed and are statistically independent. The mean values of ‘X’ and ‘Y’ are $100K and$80K with standa... | 2015-02-01T10:59:44 | {"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": 10, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://physics.stackexchange.com/questions/16400/interpretation-of-wigner-function-in-optics/16409 | # Interpretation of Wigner function in optics
I work in the field of synchrotron radiation sources where radiation (often x-rays) is produced from an electron beam going through magnetic fields. The quality of the resulting x-ray beam is determined by a parameter called the brightness, which is formally computed by th... | 2014-12-18T18:24:30 | {"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://math.stackexchange.com/questions/466489/prove-that-sqrt3-3n23n1-notin-mathbbn-given-that-n-in-mathbb | # Prove that $\sqrt[3] {3n^2+3n+1} \notin \mathbb{N^+}$ given that $n \in \mathbb{N^+}$
I need to prove that, assuming $n \in \mathbb{N^+}$
$$\sqrt[3] {3n^2+3n+1} \notin \mathbb{N^+}$$
I'm really stuck with this problem, because so far I haven't managed a clever way to solve it.
Also, I think it really doesn't help... | 2020-08-12T21:21:22 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://budrem.gda.pl/szqpcc7r/hd-209458-radius-0821f4 | HD 209458 is an 8th magnitude star in the constellation Pegasus.It is very similar to our Sun, and it is classified as a yellow dwarf (spectral class G0 V). KW - Stars: Individual (hd 209458) The very high-precision observations of carbon monoxide gas show that it is streaming at enormous speed from the extremely hot d... | 2021-03-03T18:42:02 | {"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": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://indico.desy.de/event/18204/contributions/29591/ | # TeVPA 2018
Aug 27 – 31, 2018
LVH, Luisenstraße 58, 10117 Berlin
Europe/Berlin timezone
## GRAND: The Giant Radio Array for Neutrino Detection
Aug 28, 2018, 3:45 PM
1h
LVH, Luisenstraße 58, 10117 Berlin
#### LVH, Luisenstraße 58, 10117 Berlin
<a href="http://www.langenbeck-virchow-haus.de/" target="_blank"><b>LAN... | 2023-02-08T09:48:33 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://stat.paperswithcode.com/paper/simultaneous-signal-subspace-rank-and-model | # Simultaneous Signal Subspace Rank and Model Selection with an Application to Single-snapshot Source Localization
19 Jun 2018 Muhammad Naveed Tabassum Esa Ollila
This paper proposes a novel method for model selection in linear regression by utilizing the solution path of $\ell_1$ regularized least-squares (LS) appro... | 2021-04-13T21:37:58 | {"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://commons.apache.org/proper/commons-math/userguide/geometry.html | ## 11 Geometry
### 11.1 Overview
The geometry package provides classes useful for many physical simulations in Euclidean spaces, like vectors and rotations in 3D, as well as on the sphere. It also provides a general implementation of Binary Space Partitioning Trees (BSP trees).
All supported type of spaces (Euclidea... | 2016-06-26T01:09:41 | {"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://math.usm.my/bulletin/html/vol34_3_22.html | Volume 34 • Number 3 • 2011
• A New Characterization of $PGL(2,p)$ by its Noncommuting Graph B. Khosravi and M. Khatami Abstract. Let $G$ be a finite non-abelian group. The noncommuting graph of $G$ is denoted by $\nabla(G)$ and is defined as follows: the vertex set of $\nabla(G)$ is $G\setminus Z(G)$ and two vertices... | 2021-05-07T23:04:22 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://en.m.wikiversity.org/wiki/Why_is_the_Sky_dark_at_Night%3F | # Why is the Sky dark at Night?
## This essay is intended to accompany a well-known You-tube video
Olbers' paradox in action
• Most of this material was taken from Wikipedia.
The VIDEO you just watched starts with Olber's Paradox
In astrophysics and physical cosmology, Olbers' paradox, named after the German astron... | 2019-03-25T14:40:05 | {"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://deepai.org/publication/target-location-problem-for-multi-commodity-flow | # Target Location Problem for Multi-commodity Flow
Motivated by scheduling in Geo-distributed data analysis, we propose a target location problem for multi-commodity flow (LoMuF for short). Given commodities to be sent from their resources, LoMuF aims at locating their targets so that the multi-commodity flow is optim... | 2021-10-18T02:20:33 | {"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://tex.stackexchange.com/questions/29018/how-to-find-the-proper-glyph-name-required-by-pdfglyphtounicode | # How to find the proper glyph name required by \pdfglyphtounicode
I am creating a PDF using pdfTeX. Alas, the publisher's requirement is that all glyphs therein are mapped to one or more Unicode code points. I got this working for most, but not all glyphs:
``````\input glyphtounicode.tex
\pdfgentounicode=1
``````
F... | 2016-05-30T22:25:08 | {"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://publications.mfo.de/handle/mfo/1397/browse?type=title | Now showing items 1-20 of 26
• #### Applications of BV Type Spaces
[OWP-2019-04] (Mathematisches Forschungsinstitut Oberwolfach, 2019-02-13)
• #### The Becker-Gottlieb Transfer: a Geometric Description
[OWP-2019-13] (Mathematisches Forschungsinstitut Oberwolfach, 2019-05-14)
In this note, we examine geometric as... | 2020-08-05T10:58:30 | {"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://mathoverflow.net/questions/331121/extending-kan-fibrations-without-using-minimal-fibrations | # Extending Kan fibrations, without using minimal fibrations
$$\require{AMScd}$$One thing that needs to be checked to give an interpretation of type theory in simplicial sets (as in Kapulkin-Lumsdaine) is that "the base of the universal fibration is fibrant". Expanding the definitions reduces this to the following sta... | 2021-05-08T22:57:32 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://math.stackexchange.com/questions/3115562/variable-selection-in-mixed-linear-integer-programming-or-mixed-integer-programm | # Variable selection in mixed linear integer programming or mixed integer programming with convex constraints and objective
I have a binary variable $$b\in\{0,1\}$$ and three real variables $$x,y,z$$.
If $$b=0$$ then I want $$x=y$$ and if $$b=1$$ then I want $$x=z$$.
1. Is this possible with mixed linear integer pro... | 2019-10-23T02:26:19 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://physics.stackexchange.com/questions/303643/thevenin-theorem-and-its-proof | # Thevenin theorem and its proof
In the proof of this theorem a test current source is attached to the terminals of a network called $N$. We want to know the equivalent of network $N$. Then we calculate the potential at this terminal which is:
$$\Delta V = V_\text{th} + R_\text{th} I_\text{external} \, .$$
$V_\text{... | 2019-10-17T23:32:35 | {"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... |
http://mymathforum.com/algebra/344597-fractional-indices-help.html | My Math Forum Fractional Indices - Help!
Algebra Pre-Algebra and Basic Algebra Math Forum
July 26th, 2018, 09:46 AM #1
Newbie
Joined: Jul 2018
From: Scotland
Posts: 1
Thanks: 0
Fractional Indices - Help!
I have attempted a question a couple of times and it's grinding my gears - any help? I attached the questio... | 2019-05-23T15:50:18 | {"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://www.esaral.com/q/find-the-equation-of-a-line-that-cuts-off-equal-intercepts-on-the-coordinate-axes-and-passes-through-the-point-2-3-10818 | # Find the equation of a line that cuts off equal intercepts on the coordinate axes and passes through the point (2, 3).
Question:
Find the equation of a line that cuts off equal intercepts on the coordinate axes and passes through the point (2, 3).
Solution:
The equation of a line in the intercept form is
$\frac{... | 2023-03-30T17:55:10 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://ncatlab.org/nlab/show/normal+complex+of+groups | Contents
Idea
Chain complexes are most often encountered in an Abelian context, but the definition makes sense even when the groups involved need not be abelian. What does not work well is the formation of the homology of such a chain complex of groups, except if it is ‘normal’ in the following sense:
Definition
A ... | 2016-12-07T08:36:32 | {"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://ora.ox.ac.uk/objects/uuid:ce9a8b26-bb4c-4c85-8231-78e89ce4109d | Thesis
### On linearly ordered sets and permutation groups of uncountable degree
Abstract:
In this thesis a set, Ω, of cardinality NK and a group acting on Ω, with NK+1 orbits on the power set of Ω, is found for every infinite cardinal NK.
Let WK denote the initial ordinal of cardinality NK. Define
N := {α1α2 . . ... | 2021-10-27T21:53:09 | {"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://lucamarchetti79.github.io/teaching/qcbSciProLab/M1_practical11.html | # Module 1, Practical 11¶
In this practical we will work with recursive functions.
## Recursive functions¶
Recursion is the process of defining something in terms of itself. A physical world example would be to place two parallel mirrors facing each other. Any object in between them would be reflected recursively.
... | 2022-07-05T15:59:26 | {"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.physicsforums.com/showthread.php?p=4038977 | ## Vector Diagram
Do anyone have any software by which i can make a vector diagram from a group of points.you can think it like..suppose you have x & y component of a vector at a point..you can draw that easily but i will have to draw a vector diagram for 100 or more points arranged on a surface...i will give the co-o... | 2013-05-22T20:23:57 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://infoscience.epfl.ch/record/87066 | ## A simple test to check the optimality of a sparse signal approximation
Approximating a signal or an image with a sparse linear expansion from an overcomplete dictionary of atoms is an extremely useful tool to solve many signal processing problems. Finding the sparsest approximation of a signal from an arbitrary dic... | 2018-06-21T03:13:11 | {"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": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://zbmath.org/?q=an:903.22001 | # zbMATH — the first resource for mathematics
An uncountable family of group automorphisms, and a typical member. (English) Zbl 0903.22001
If $$\alpha: X\to X$$ is an isomorphism of a compact abelian group, then $$\alpha$$ is ergodic if and only if it is measurably isomorphic to a Bernoulli shift by [D. A. Lind, Israe... | 2021-10-28T09:05:25 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.netlib.org/utk/people/JackDongarra/etemplates/node35.html | Next: Specifying an Eigenproblem Up: Generalized Hermitian Eigenproblems Previous: Eigendecompositions Contents Index
## Conditioning
An eigenvalue of may be well-conditioned or ill-conditioned. If (or is close), the eigenvalues are as well-conditioned (or close) as for the Hermitian eigenproblem described in §... | 2021-11-30T21:25:55 | {"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://www.wyzant.com/resources/answers/topics/math-algebra-help-tutor-solutions | 42 Answered Questions for the topic #math #algebra #help #tutor #solutions
#### I need help with his question below:
The cost of running an assembly line can be modelled by the function C9x)=0.3x^2 - 0.9x + 1.675. where C(x) is the cost per hour in thousands of dollars and x is the number of items produced per... mor... | 2019-10-13T20:54:31 | {"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://www.albert.io/ie/ap-physics-c-e-and-m/after-3-sec-energy | Free Version
Difficult
# After 3 Sec Energy
APPHEM-4LJOAG
A capacitor loses half of its voltage every 1 seconds.
If the initial Energy it holds is $E$, how much energy will it have after 3 seconds?
A
$E/3$
B
$E/8$
C
$E/9$
D
$E/64$
E
$E/128$ | 2017-02-21T15:09:40 | {"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://en.wikipedia.org/wiki/Knot_(unit) | # Knot (unit)
Knot
An airspeed indicator, which shows speed in knots
Unit information
Unit system
• meteorology
• aviation
• maritime
Unit of speed
Symbol kn or kt
Unit conversions
1 kn in ...... is equal to ...
km/h 1.852
mph 1.15078
m/s 0.514444
ft/s 1.68781
The knot (/nɒt/) is a unit of speed equal to ... | 2018-09-24T22:37:41 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 3, "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://glossary.informs.org/ver2/mpgwiki/index.php?title=Separable_program | # Separable program
The functions are separable:
$LaTeX: f(x) = \sum_{j} f_j (x_j),$
$LaTeX: g(x) = \sum_{j} g_j(x_j),$
$LaTeX: \mbox{and } h(x) = \sum_{j} h_j(x_j).$
The classical (LP) approaches to separable programming are called lambda-form and delta-form, both using piece-wise linear approximations.
Let $LaTeX... | 2019-11-19T00:48:17 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 20, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://www.thefullwiki.org/Charge_density | # Charge density: Wikis
Note: Many of our articles have direct quotes from sources you can cite, within the Wikipedia article! This article doesn't yet, but we're working on it! See more info or our list of citable articles.
# Encyclopedia
The linear, surface, or volume charge density is the amount of electric charg... | 2018-05-22T10:23:39 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 19, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://math.stackexchange.com/questions/1179774/let-k-be-an-associative-unital-f-algebra-is-pk-a-gf2-algebra | # Let $K$ be an associative unital $F-algebra$. Is $(P(K), •)$ a $GF(2)-algebra$?
Let $F$ be a field and let $K$ be an associative unital $F-algebra$. If $A$ and $B$ are subsets of $K$, we let $A • B$ be the set of all elements of $K$ of the form $a • b$, with $a ∈ A$ and $b ∈ B$ (in particular, $∅ • B = A • ∅ = ∅$). ... | 2019-09-21T17:16:20 | {"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://www.rdocumentation.org/packages/VGAM/versions/1.0-4/topics/vgam.control | VGAM (version 1.0-4)
# vgam.control: Control Function for vgam()
## Description
Algorithmic constants and parameters for running vgam are set using this function.
## Usage
vgam.control(all.knots = FALSE, bf.epsilon = 1e-07, bf.maxit = 30,
checkwz=TRUE, Check.rank = TRUE, Check.cm.rank = TRUE,
criterion = names(.mi... | 2022-06-24T23:14:14 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://juanmarqz.wordpress.com/2011/04/07/fourth-sylow-thm/ | fourth Sylow theorem
We are going to reconstruct the salient of a part of the classical theorem:
Each $H$ p-S of $G$ is contained into a $Q$ p-SS of $G$
Here the reference frame:
1. $\#$p-SS divides $|G|$:
The set p-SS must be considered as an orbit of the action $G\times$ p-SS $\to$ p-SS via $g\cdot Q=gQg^{-1}$. ... | 2017-04-25T10:38:18 | {"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": 52, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://brilliant.org/problems/heat-on-rod/ | # Heat on rod!
Two straight metallic strips each of thickness $t$ and length $l$ are riveted together. Their coefficients of linear expansion are $\alpha_1$ and $\alpha_2$. If they are heated through a temperature of $\Delta t$, the bimetallic strip will bend to form an arc of radius $r.$
Find $r.$
• (a) $\ \dfrac t... | 2020-12-02T10:26:15 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 11, "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.thejournal.club/c/paper/186723/ | #### Biadversarial Variational Autoencoder
##### Arnaud Fickinger
In the original version of the Variational Autoencoder, Kingma et al. assume Gaussian distributions for the approximate posterior during the inference and for the output during the generative process. This assumptions are good for computational reasons... | 2021-05-15T20:58:42 | {"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/hail-stewart-1-2/ | Hail Stewart-1!
Geometry Level 3
In $\triangle ABC$, $AC=BC$, point $D$ is on $BC$ such that $CD=3\times BD$, and $E$ is the midpoint of $AD$ such that $CE=\sqrt 7$ and $BE=3$.
If the area of $\triangle ABC$ is $m\sqrt n$, where $m$ and $n$ are positive integers and $n$ is square-free, find $m+n$.
× | 2021-06-21T13:13:28 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 15, "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://lavelle.chem.ucla.edu/forum/viewtopic.php?f=42&t=52607 | ## Valance Bond Theory
$sp, sp^{2}, sp^{3}, dsp^{3}, d^{2}sp^{3}$
Ying Yan 1F
Posts: 101
Joined: Fri Aug 02, 2019 12:16 am
### Valance Bond Theory
Can someone please explain the valance bond theory? Thank you!
chrischyu4a
Posts: 52
Joined: Thu Jul 25, 2019 12:16 am
### Re: Valance Bond Theory
Valence bond theory... | 2020-11-24T02:13:42 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 1, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://math.stackexchange.com/questions/347034/why-hasnt-gch-become-a-standard-axiom-of-zfc/347083 | # Why hasn't GCH become a standard axiom of ZFC?
I've never seen a text that includes GCH in the ZFC axioms. I presume this means that GCH has not achieved widespread acceptance. This seems surprising to me, given that:
1. The cardinal numbers encountered in "ordinary" mathematics are the beth numbers $\beth_\alpha$,... | 2016-07-23T15:11:58 | {"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/tag/fsubset/ | ## if $F\subset K$ real closed fields, $b\in K$ algebraic over F then $b\in F$
I’m studying real closed field part in model theory. Because I’m not familiar with abstract algebra, I’m stuck with two (possibly) simple problems. Here are definitions and two problems I’m stuck with.
$$\cdot$$F is (formally) real if -1 i... | 2021-10-17T12:48:00 | {"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.projecteuclid.org/euclid.nihmj/1393273818 | ## Nihonkai Mathematical Journal
### Bi-Unique Range Sets For Meromorphic Functions
Abhijit Banerjee
#### Abstract
In this paper we introduce a new kind of pair of finite range sets in $\mathbb{C}$ for meromorphic functions corresponding to their uniqueness.
#### Article information
Source
Nihonkai Math. J., Volu... | 2019-11-13T21:13:32 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://diffgeom.subwiki.org/w/index.php?title=Jacobi_field&diff=793&oldid=791 | # Difference between revisions of "Jacobi field"
## Definition
Let $M$ be a Riemannian manifold.
A vector field $J$ along a curve $\omega:[0,1] \to M$ is termed a Jacobi field if it satisfies the following equation:
$\frac{D^2J}{dt^2} + R(J,V)V = 0$
where $V$ is the tangent vector field along the curve.
The above... | 2020-04-05T08:08:54 | {"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": 0, "img_math": 9, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://wormax.ioground.com/proxy/https://physics.stackexchange.com/questions/709980/what-does-penrose-mean-when-he-talks-about-topology-of-spacetime | What does Penrose mean when he talks about topology of spacetime?
Let us now set aside the question of the submicroscopic structure of space-time and concentrate, instead, on its large-scale properties. In this case, we may imagine that the smooth manifold picture will be adequate and that its structure in the large c... | 2022-07-02T13:36:02 | {"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": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://guzintamath.com/textsavvy/2019/02/15/inverses-and-transposes/ | # Inverses and Transposes
This will now be my 22nd post on linear algebra, and I hope it’ll be noticeable, looking at all of them together so far, that we haven’t talked about systems of equations. And there’s a good reason for that: because they suck you down an ugly hole of mindless calculation, meaning-challenged t... | 2019-06-17T05:47:40 | {"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": 1, "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/mc2/chapter/2/lesson/2.3.6/problem/2-153 | ### Home > MC2 > Chapter 2 > Lesson 2.3.6 > Problem2-153
2-153.
Remember that
$\frac{14}{20} = \frac{7}{10}$
One way to start is to change both so that they have 100 in the denominator.
$\frac{22}{25}\cdot \frac{4}{4} = \frac{88}{100}$
$\frac{7}{10}\cdot\frac{?}{?} = ?$
$\frac{9}{50}$
See part (a). | 2020-08-12T03:15:40 | {"extraction_info": {"found_math": true, "script_math_tex": 4, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://nrzq.honda-crosstourer.pl/ | # Nested Models Stata
The SUBSIM Automated Simulator: Direct effects is the automated model to run the SUBSIM Direct version. Overall Model Fit The most common assessment of overall model fit in logistic regression is the goodness-of-fit test (G), which is simply the chi-square difference between the null model (i. Ne... | 2021-09-20T11:44:59 | {"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": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.physicsforums.com/threads/a-rookie-question-for-integrals-of-polynomial-functions.960829/ | # A rookie question for integrals of polynomial functions
$$\int x^2+3 = \frac{x^3}{3}+3x+C$$
I can get the front two part by power rule, but what is the C doing there? Wolframalpha suggested it should be a constant, but what value should it be? Sorry for asking rookie questions
## Answers and Replies
Science Advis... | 2023-03-27T09:39:10 | {"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": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mymathforum.com/complex-analysis/336286-graphing-set.html | My Math Forum graphing set
User Name Remember Me? Password
Complex Analysis Complex Analysis Math Forum
October 1st, 2016, 07:57 AM #1 Newbie Joined: Oct 2016 From: Lawrence, Kansas Posts: 2 Thanks: 0 graphing set How do I graph a set that is defined as z given that |z -[complex number]| <= 1 (apologies: I am ap... | 2018-03-21T23:55:54 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.msuperl.org/wikis/pcubed/doku.php?id=184_notes:mag_interaction | 184_notes:mag_interaction
This week we are going to start to talk about a new kind of interaction: the magnetic interaction. Pieces of this section may feel familiar from when we talked about the electric interaction, while other pieces will feel new. As we will talk about in a couple of weeks, the electric field is r... | 2021-04-17T04:52:40 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.numerade.com/questions/a-what-is-the-momentum-of-a-proton-moving-at-0900c-b-at-what-speed-will-a-particles-relativistic-mom/ | Gravitation
### Discussion
You must be signed in to discuss.
AK
Ashutosh K.
November 19, 2020
Lectures
Join Bootcamp
### Video Transcript
we know that speed of proton. Ah, speed, speed or proton Speed off proton. We is equal to the seed of find 900 times the speed of light and massive proton and not physical to... | 2021-04-14T11:29:21 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.makethebrainhappy.com/2021/07/techniques-of-partial-fraction.html | Techniques of Partial Fraction Decomposition
Partial fraction decomposition is very often used for many applications, such as integration of rational fractions, inverse Laplace transforms, and Taylor series expansions. In this article, we skip discussions on the basics of partial fraction decomposition in view of many... | 2022-05-16T14:50:29 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://artofproblemsolving.com/wiki/index.php/2002_JBMO_Problems/Problem_1 | # 2002 JBMO Problems/Problem 1
## Problem
The triangle $ABC$ has $CA = CB$. $P$ is a point on the circumcircle between $A$ and $B$ (and on the opposite side of the line $AB$ to $C$). $D$ is the foot of the perpendicular from $C$ to $PB$. Show that $PA + PB = 2 \cdot PD$.
## Solution
Since $APBC$ is a cyclic quadril... | 2023-03-31T13:30:50 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 33, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://www.physicsforums.com/threads/clarification-in-the-definition-of-force.708605/ | # Clarification in the definition of force
1. Sep 4, 2013
### manimaran1605
\According to Newton's second law, force is defined as rate of change of momentum or force is defined as product of mass into acceleration, I both of these definitions are same and right.
My questions are,
(1) how can i prove this two defin... | 2018-06-24T13:40:29 | {"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://math.stackexchange.com/questions/1707158/classification-of-vector-bundles-over-the-torus | # Classification of vector bundles over the torus
In M. Rieffel's paper "The Cancellation Theorem for projective modules over irrational rotation $C^*$-algebras", he classifies finitely generated projective modules over the $C^*$-algebra $C(\mathbb{T}^2)$, which by the Serre-Swan theorem should be equivalent to classi... | 2019-11-17T21:02:19 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://homework.cpm.org/category/CCI_CT/textbook/pc/chapter/10/lesson/10.2.3/problem/10-104 | ### Home > PC > Chapter 10 > Lesson 10.2.3 > Problem10-104
10-104.
Express the function $y = x^{3} + 1$ and its inverse using parametric equations.
Recall that for an inverse, just switch $x$ and $y$. Let $x = t$, then $y =$ ? | 2022-05-16T07:49:11 | {"extraction_info": {"found_math": true, "script_math_tex": 5, "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://cvgmt.sns.it/paper/5345/ | # A comparison principle for the Lane-Emden equation and applications to geometric estimates
created by zagati on 19 Nov 2021
[BibTeX]
preprint
Inserted: 19 nov 2021
Last Updated: 19 nov 2021
Pages: 42
Year: 2021
ArXiv: 2111.09603 PDF
Abstract:
We prove a comparison principle for positive supersolutions and sub... | 2021-12-05T14:29:56 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.physicsforums.com/threads/need-analytic-solution.229666/ | # Need analytic solution!
## Main Question or Discussion Point
Hi everyone. Maple and I have collectively racked our brains and I've tried most of the integration techniques I know. Does anyone know the solution to the integral
$$\int$$ exp(-a*abs(x))*exp(i*(k0-k)*x)*dx
from -infinity to infinity (not sure how to g... | 2019-12-06T05:31:56 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://math.stackexchange.com/questions/2968911/tightness-of-a-family-of-probability-measures | # Tightness of a family of probability measures.
Let $$\mathscr{A}$$ be a family of probability measures then this family is tight iff there exists a function $$f\in C(\mathbb{R^n})$$ such that $$f(x)\to\infty$$ as $$|x|\to\infty$$ and $$\sup_{\mu\in\mathscr{A}}\int f\,\mathrm{d}\mu<\infty.$$
I think the function nee... | 2019-09-21T04:36:16 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://math.stackexchange.com/questions/3180784/show-that-det-d-a-det-d-n-1-b2-det-d-n-1-for-n-2-3-dots | # Show that $\det D = a \det D_{n-1}- b^2 \det D_{n-1}$ for $n = 2, 3,\dots$ [closed]
My problem
Consider the matrix $$D_n = \underbrace{\begin{bmatrix} a & b & 0 & \cdots & 0 \\ b & a & b & \ddots & \vdots \\ 0 & b & a & \ddots & 0 \\ \vdots & \ddots & \ddots & \ddots & b\\ 0 & \cdots & 0 & b & a \\ \end{bmatrix}}_{... | 2019-09-22T16:18:06 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://projecteuclid.org/euclid.twjm/1500407054 | ## Taiwanese Journal of Mathematics
### SUBMANIFOLDS OF CONSTANT SCALAR CURVATURE IN A HYPERBOLIC SPACE FORM
Zhong Hua Hou
#### Abstract
Let $M^n$ be a closed submanifold immersed into a real hyperbolic space form $\Bbb H^{n+p}$ of constant curvature $-1$. Denote by $R$ the normalized scalar curvature of $M^n$ and ... | 2019-07-22T07:52:37 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://possiblyphilosophy.wordpress.com/tag/independent-axioms/ | ## Is ZFC Arithmetically Sound?
February 12, 2010
I recently stumbled across this fascinating discussion on FOM. The question at stake: why should we believe that ZFC doesn’t prove any false statements about numbers? That is, while of course we should believe ZFC is consistent and $\omega$-consistent, that is no reas... | 2017-04-25T08:26:42 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 8, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://math.boisestate.edu/~calhoun/teaching/matlab-tutorials/lab_2/html/lab_2.html | Back to tutorial index
# Matlab as a graphing scientific calculator (Part II)
## Introduction
In this lab, you will learn how to create variables in Matlab and how to create "anonymous functions".
Back to the top
## Creating variables in Matlab
So far, we have only entered expressions at the command line, and obt... | 2018-02-25T13:27:22 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathworks.com/matlabcentral/fileexchange/23972-chebfun/content/chebfun/examples/ode/html/AllenCahn.html | Code covered by the BSD License
### Highlights fromChebfun
from Chebfun by Chebfun Team
Numerical computation with functions instead of numbers.
An Allen-Cahn equation with continuation
# An Allen-Cahn equation with continuation
Nick Trefethen, November 2010
(Chebfun example ode/AllenCahn.m)
The Allen-Cahn equat... | 2013-05-23T04:35:46 | {"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/how-do-you-find-the-vertex-and-intercepts-for-x-2-10x-8y-33-0 | How do you find the vertex and intercepts for x^2-10x-8y+33=0?
Mar 11, 2017
${y}_{\text{intercept}} = \frac{33}{8}$
Vertex$\to \left(x , y\right) = \left(5 , 1\right)$
NO X-INTERCEPT
Explanation:
Moving $8 y$ to the other side of the = and change its sign
${x}^{2} - 10 x + 33 = + 8 y$
To get $y$ on its own divi... | 2021-12-04T07:34:11 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 16, "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://plainmath.net/54859/write-equivalent-first-order-differential-equation-initial-condition | # Write an equivalent first-order differential equation and initial condition for
Write an equivalent first-order differential equation and initial condition for y.
$y=-1+{\int }_{0}^{x}\left(2t-5y\left(t\right)\right)dt$
What is the equivalent first-order differential equation?
${y}^{\prime }=?$
What is the initial... | 2022-10-01T12:01:58 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 60, "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://shelah.logic.at/papers/987/ | # Sh:987
• Farah, I., & Shelah, S. (2014). Trivial automorphisms. Israel J. Math., 201(2), 701–728.
• Abstract:
We prove that the statement ‘For all Borel ideals {\mathcal I} and {\mathcal J} on \omega, every isomorphism between Boolean algebras {\mathcal P}(\omega)/{\mathcal I} and {\mathcal P}(\omega)/{\mathcal J} h... | 2021-01-27T23:38:43 | {"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": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://blog.flyingcoloursmaths.co.uk/ask-uncle-colin-a-light-matrix-product/ | Dear Uncle Colin,
I’m working on a (3D) computer graphics course, and my notes have some equations in that I don’t understand. I have a point light at (4D) position $\vec L$, an object translated by a 4D matrix $\bb M$ and a (4D) point on the surface at $\vec p$, as measured from the object’s centre. I want to know th... | 2021-02-27T00:41:43 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://physicscomputingblog.com/2017/03/19/numerical-solution-of-pdes-part-7-2d-schrodinger-equation/ | # Numerical solution of PDE:s, Part 7: 2D Schrödinger equation
Haven’t been posting for a while, but here’s something new… Earlier I showed how to solve the 1D Schrödinger equation numerically in different situations. Now I’m going to show how to calculate the evolution of a 2D wavepacket in a potential energy field t... | 2020-05-27T10:00:05 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 1, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://academ.us/list/physics/ | ### Strong scattering and parallel guiding of ultracold neutrons
For ultracold neutrons with a kinetic energy below 10 neV, strong scattering, characterized by $2\pi l_{c} / \lambda\leq 1$, can be obtained in metamaterials of C and $^7$Li. Here $l_{c}$ and $\lambda$ are the coherent scattering mean free path and the n... | 2020-09-19T12:32:32 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://hal.archives-ouvertes.fr/hal-01124481 | # The DEDALE System for Complex Spatial Queries
1 VERSO - Databases
Inria Paris-Rocquencourt, CNRS - Centre National de la Recherche Scientifique : UMR8629
3 DAHU - Verification in databases
CNRS - Centre National de la Recherche Scientifique : UMR8643, Inria Saclay - Ile de France, ENS Cachan - École normale supérieu... | 2019-07-20T01:05:09 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://www.covidpreventionexpo.com/clovis-ca-euv/672492-trace-of-antisymmetric-matrix | # trace of antisymmetric matrix
Relation to eigenvalues The product of a symmetric and an antisymmetric / The following theorem relates the pfaffian and determinant of an antisymmetric matrix. In other words, we can say that matrix A is said to be skew-symmetric if transpose of matrix A is equal to negative of matrix A ... | 2021-03-04T19:13:54 | {"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": 1, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://www.mathynomial.com/problem/1629 | # Problem #1629
1629 The arithmetic mean of two distinct positive integers $x$ and $y$ is a two-digit integer. The geometric mean of $x$ and $y$ is obtained by reversing the digits of the arithmetic mean. What is $|x - y|$? $\textbf{(A)}\ 24 \qquad \textbf{(B)}\ 48 \qquad \textbf{(C)}\ 54 \qquad \textbf{(D)}\ 66 \qqu... | 2018-02-18T06:50:01 | {"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": 6, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://www.ams.org/mathscinet-getitem?mr=64022 | MathSciNet bibliographic data MR64022 (16,213b) 09.1X Rosenberg, Alex; Zelinsky, Daniel On Nakayama's extension of the \$x\sp {n(x)}\$$x\sp {n(x)}$ theorems. Proc. Amer. Math. Soc. 5, (1954). 484–486. Article
For users without a MathSciNet license , Relay Station allows linking from MR numbers in online mathematical l... | 2014-09-23T10:25:01 | {"extraction_info": {"found_math": true, "script_math_tex": 1, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://wimcouwenberg.wordpress.com/2018/04/22/least-square-fitting-of-random-variables/ | ## Least square fitting of vector-valued random variables
Let $(x, y) \in \mathbb{R}^n \times \mathbb{R}^m$ be joint random variables (typically not independent). This post describes which linear map $\sigma{: \mathbb{R}^n \to \mathbb{R}^m}$ relates these variables best in the sense that the expected square error $\ma... | 2018-05-22T03:55:27 | {"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": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 42, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://solvedmathproblems.com/integral-transformation-3/ | ### Double Integral Transformation (Triangular Region) Example 3
You may be given a transformation to use to solve a double integral, and sometimes the region of integration is a shape, such as a parallelogram or ellipse. Let's solve an example where the region of integration is a triangle.
Use the transformation $$x... | 2020-01-27T19:10:34 | {"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": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathematica.stackexchange.com/questions/34733/how-do-i-assign-specific-data-points-in-an-array-to-a-new-array | How do I assign specific data points in an array to a new array?
I am trying to learn how to script/program in mathematica and I am retyping some simple C and FORTRAN programs into Mathematica as a way to learn. I am writing a Monte Carlo code to calculate the value of pi. In the method attached a 10000x2 dimensional ... | 2014-03-11T05:30:54 | {"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": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.aimsciences.org/article/doi/10.3934/jimo.2017077 | # American Institute of Mathematical Sciences
April 2018, 14(2): 817-831. doi: 10.3934/jimo.2017077
## Parameter identification techniques applied to an environmental pollution model
1 School of Mathematics and Statistics, Nanjing University of Information Science and Technology (NUIST), Nanjing, China, 210044 2 D... | 2020-06-04T23:41:45 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://mathoverflow.net/questions/229349/hodge-map-and-the-cohomology-ring-of-a-riemannian-manifold/229400 | Hodge map and the Cohomology Ring of a Riemannian Manifold
For a compact Riemannian manifold $M$, we know that the Hodge map $\ast$ and Laplacian $\Delta$ commute. From Hodge decomposition and its implied isomorphism between harmonic forms and cohomology classes we now that an indued on the cohomology ring $H(M)$, whi... | 2020-07-05T08:03:33 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://discourse.julialang.org/t/what-is-faster-abs-x-or-x-2/42547 | # What is faster, abs(x) or x^2?
I need to compare many values to one. What would be faster:
Option A:
for i = 1 : N
if abs(arr[i]) > someValue
doSomething(i);
end
end
Option B:
someValueSquared = someValue^2;
for i = 1 : N
if arr[i] ^ 2 > someValueSquared
doSomething(i);
end
end
For me it’s an inner loop over... | 2022-05-19T15:05:51 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://math.stackexchange.com/questions/4191368/find-the-shortest-distance-between-straight-line-joining-points-a3-2-4-and-b | # Find the shortest distance between straight line joining points A(3,2,-4) and B(1,6,-6) and straight line joining points C(-1,1,-2) and D(-3,1,-6).
The complete question is below because the world limit doesn't allow me to post full question in title.
Find the shortest distance between the straight line joining the... | 2021-12-08T07:34:37 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://chem.libretexts.org/Ancillary_Materials/Worksheets/Worksheets%3A_General_Chemistry/Worksheets%3A_General_Chemistry_(Traditional)/Nuclear_Fusion_(Worksheet) | # Nuclear Fusion (Worksheet)
Name: ______________________________
Section: _____________________________
Student ID#:__________________________
Work in groups on these problems. You should try to answer the questions without referring to your textbook. If you get stuck, try asking another group for help.
The rest ... | 2021-09-18T19:11:13 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://plainmath.net/669/correct-choices-multiple-questions-questions-explain-choices-quantitative | # Give the correct choices of these multiple choice questions in questions (a) and (b) and explain your choices (for example: why quantitative and not q
Give the correct choices of these multiple choice questions in questions (a) and (b) and explain your choices (for example: why quantitative and not qualitative? Why ... | 2022-06-26T02:13:40 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 30, "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://demo.formulasearchengine.com/wiki/173_(number) | # 173 (number)
173 (one hundred [and] seventy-three) is the natural number following 172 and preceding 174.
## In mathematics
173 is the sum of 2 squares: ${\displaystyle 2^{2}+13^{2}}$. It is also the sum of three consecutive prime numbers: 53 + 59 + 61.
173 is also: | 2019-09-18T01:27:56 | {"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... |
http://zbmath.org/?q=an:1085.52011 | # zbMATH — the first resource for mathematics
##### Examples
Geometry Search for the term Geometry in any field. Queries are case-independent. Funct* Wildcard queries are specified by * (e.g. functions, functorial, etc.). Otherwise the search is exact. "Topological group" Phrases (multi-words) should be set in "strai... | 2014-04-24T02:37:09 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 2, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://math.stackexchange.com/questions/1876966/linear-programming-without-use-gauss-jordan-row-operations | # Linear programming without use Gauss-Jordan row operations
I want some help for the following LP:
\begin{align} \mbox{maximize} \quad& 24 x_1 + 22 x_2 + 45 x_3 \\ \mbox{subject to} \quad& 2x_1+x_2+3x_3 \leq 42 \\ & 2x_1 + x_2 + 2x_3 \leq 40 \\ & x_1 + \tfrac{1}{2}x_2 + x_3 \leq 45 \\ & x_1, x_2, x_3, x_4 \geq 0 \\ ... | 2019-08-20T21:04:54 | {"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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://users2.unimi.it/mazza/2014/05/ | # Projective and injective modules
Examples, counterexamples and relations between free, projective, flat and torsion free modules.
Projective modules over local rings are free.
In the ring $R=\mathbb{Z}[\sqrt{-5}]$ the ideals $I=(3, 1+\sqrt{-5})$ and $J=(3, 1-\sqrt{-5})$ are projective non-free modules.
In fact, $R... | 2018-10-22T09:34:44 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 30, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://www.phyley.com/gravitational-acceleration-on-earth | Support Ukraine 🇺🇦Help Ukrainian ArmyHumanitarian Assistance to Ukrainians
# Gravitational Acceleration near the Surface of the Earth
In the absence of air friction, objects near the surface of the Earth accelerate downward with an acceleration known as the gravitational acceleration.
The magnitude of the gravitat... | 2022-12-07T10:58:03 | {"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://clipart.academickids.com/encyclopedia/index.php/Hyper_generalized_orthogonal_Lie_algebra | # Hyper generalized orthogonal Lie algebra
[itex]\begin{pmatrix} \mathbf{A} & V \\ -V^t & 0 \end{pmatrix}[itex] belongs to [itex]\mathfrak{so}[itex](n+1) if A belongs to [itex]\mathfrak{so}[itex](n) and V is a (column) n-vector. Skew-symmetric matrix.
[itex]\begin{pmatrix}A & V \\ V^t & 0 \end{pmatrix}[itex]
belongs ... | 2022-07-02T04:42:19 | {"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://www.ssmathematics.com/2021/09/cie-ap-and-gp-additional.html | # CIE AP and GP (Additional)
$\def\frac{\dfrac}$
$\def\view{\begin{array}{|l|}\hline\mbox{Arithmetic Progress (AP)}\\ \hline\begin{array}{r|ll}1&d&=u_2-u_1=u_3-u_2=\cdots\\&d&=\mbox{Common Difference}\\&a&=u_1=\mbox{First Term}\\&u_n&=n^{\mbox{th}}\mbox{ Term }\\&S_n&=\mbox{Sum to first$n$terms}\\&l&=u_n=\mbox{Last t... | 2022-08-14T00:25:34 | {"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": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://lhessaydsyd.mestudio.us/calculus-2-integration-paper.html | Calculus 2 integration paper
Download graph paper the temperature t (in °c) recorded during a day followed the curve t = 0001t4 − 0280t2 + 25 where t is the number. Only studying right before the ib math sl/hl papers as i said before, topic 2: functions and equations longer notes: topic 6: calculus. Be familiar with t... | 2018-10-16T17:26:19 | {"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://mathematica.stackexchange.com/questions/104236/imagehistogram-with-logarithmic-y-scale/104507 | # ImageHistogram with logarithmic y scale
ImageHistogram is much faster than Histogram with ImageData.
The only problem: I cannot find out how to make the y axis logarithmic. Is this possible?
I am using Mathematica 10.3.1.
• You could try ImageLevels to get the data, then plot manually. – Szabolcs Jan 16 '16 at 21... | 2019-11-17T01:58:49 | {"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": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://codereview.stackexchange.com/questions/87975/segment-intersection-failing-on-unknown-edge-cases | # Segment Intersection — Failing on Unknown Edge Cases
I was recently at a programming competition. One of the problems was to determine whether two line segments are parallel, intersect, or do not intersect.
For all of the test cases I ran, my solution worked. However, when I submitted it, it was rejected (but no ot... | 2021-05-18T17:56:52 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.jobilize.com/course/section/simple-harmonic-motion-modeling-with-trigonometric-by-openstax?qcr=www.quizover.com | # 7.6 Modeling with trigonometric equations (Page 4/14)
Page 4 / 14
## Simple harmonic motion
A type of motion described as simple harmonic motion involves a restoring force but assumes that the motion will continue forever. Imagine a weighted object hanging on a spring, When that object is not disturbed, we sa... | 2019-05-25T08:48:22 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 32, "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://stacks.math.columbia.edu/tag/0EVN | Lemma 61.10.1. Let $Y$ be an affine scheme. Let $X = \mathop{\mathrm{lim}}\nolimits X_ i$ be a directed limit of affine schemes over $Y$. The following are equivalent
1. $\{ X \to Y\}$ is a standard V covering (Topologies, Definition 34.10.1), and
2. $\{ X_ i \to Y\}$ is a standard V covering for all $i$.
Proof. A s... | 2023-02-03T01:10:10 | {"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": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.azdictionary.com/definition/coefficient%20of%20elasticity | # coefficient of elasticity definition
• noun:
• the quotient of a stress (of a given kind), because of the strain (of certain kind) which it creates; -- labeled as also coefficient of opposition.
• (physics) the ratio of used anxiety to your improvement in shape of an elastic human body
## Related Sources
• Definit... | 2017-07-26T05:28:33 | {"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://www.gradesaver.com/textbooks/math/trigonometry/CLONE-68cac39a-c5ec-4c26-8565-a44738e90952/chapter-5-trigonometric-identities-section-5-6-half-angle-identities-5-6-exercises-page-244/63b | ## Trigonometry (11th Edition) Clone
$$\tan\frac{\theta}{2}=\sqrt{\frac{b}{2R-b}}$$
- From half-angle identity for tangent: $$\tan\frac{\theta}{2}=\pm\sqrt{\frac{1-\cos\theta}{1+\cos\theta}}$$ The angle $\frac{\theta}{2}$ corresponds to the angle in the image. The angle in the image is definitely greater than $0^\circ... | 2021-03-07T03:43:23 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://math.stackexchange.com/questions/472218/need-help-with-2-combinations-of-3/472241 | # Need help with 2 combinations of 3
I have a real-world math problem that may be simple for some of you but we are counselors and cannot figure it out. I have a group of 6 people who need to divide into 2 groups of 3 each week. Over the weeks the groups need to change so that the small groups cover each possible comb... | 2014-09-23T22:22:17 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.jobilize.com/physics-k12/section/hitting-a-specified-target-by-openstax?qcr=www.quizover.com | # 5.2 Features of projectile motion (Page 6/7)
Page 6 / 7
## Hitting a specified target
An archer aims a bull’s eye; a person throws a pebble to strike an object placed at height and so on. The motion involved in these situations is a projectile motion – not a straight line motion. The motion of the projectile (ar... | 2020-12-05T02:23:22 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 10, "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/896614/maximum-of-three-uniform-random-variables | # Maximum of Three Uniform Random Variables
Here is the question, I am studying for exam P, and am using a study guide with a solution guide. I am stumped on this problem, and the solution in the back was very confusing. Any clarity I can get would be tremendously appreciated. Here is the problem:
Three individuals a... | 2019-08-20T18:12:36 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
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Zbl 1072.60052
Matache, Ana-Maria; von Petersdorff, Tobias; Schwab, Chris... | 2013-06-20T03:33:09 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.physicsforums.com/threads/why-trigonometric-ratios-were-defined-for-a-unit-circle.869237/ | Why trigonometric ratios were defined for a unit circle
Main Question or Discussion Point
To make it useful for any angles. I need a good explanation for this.
Answers and Replies
jedishrfu
Mentor
Think about the advantage of having a circle of radius 1. What does the sin and cos of any angle reduce to?
Y and x ok... | 2020-04-04T16:31:11 | {"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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