url string | text string | date timestamp[s] | metadata string |
|---|---|---|---|
https://math.stackexchange.com/questions/2744773/integral-word-problem-did-i-set-this-up-correctly | # Integral word problem. Did I set this up correctly?
Here is the question:
Use the method of cylindrical shells to find the volume generated by rotating the region bounded by the given curves about the specified x-axis.
Here are the parameters:
$$y = 4x - x^2, y = 3\text {; about }x = 1$$
So here are my choices f... | 2019-06-24T22:01:23 | {"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://mathhelpforum.com/algebra/99545-quadratic-algebra.html | # Math Help - quadratic algebra
hi all,
the question posed is
Given that $x^2-14x+a = (x+b)^2$ for all values of $x$, find the value of $a$ and the value of $b$.
is this correct?
since
$(x+A)^2=x^2+2Ax+A^2$
$x^2+2Ax=(x+A)^2-A^2$
so
$x^2-14x = (x+b)^2 - b^2 = x^2+2bx$
and solving for b
$b=\frac{-14x}{2x}=-7$
... | 2015-05-30T13:40:05 | {"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": 0, "codecogs_latex": 30, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://mathoverflow.net/questions/109306/genus-2-curves-vs-abelian-surfaces | # Genus 2 curves vs Abelian surfaces
In the Satake compactification of abelian surfaces we have the following degeneration of a family of abelian surfaces in $\mathbf{H}_2$
$lim_{t \to \infty}\begin{pmatrix} it & b \\\ b & \tau\end{pmatrix} = \tau.$
Since we have that $M_2$ is an open of $A_2$, it is natural to look... | 2015-12-01T11:27:48 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://en.m.wikipedia.org/wiki/Random_variable | Random variable
A random variable (also called random quantity, aleatory variable, or stochastic variable) is a mathematical formalization of a quantity or object which depends on random events.[1] It is a mapping or a function from possible outcomes (e.g., the possible upper sides of a flipped coin such as heads ${\d... | 2022-11-30T08:44:01 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 213, "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/m... |
https://brilliant.org/discussions/thread/can-you-solve-it-2/ | ×
# Can you solve it?
Hi guys,
can you solve this puzzle??
The numbers to fit in are:
$$\boldsymbol \not{2},3,5,8,9,10,18,19,24,29,33,38$$
Try to solve it and compare with The solution
Note by Kaito Einstein
2 years, 4 months ago
MarkdownAppears as
*italics* or _italics_ italics
**bold** or __bold__ bold
- bull... | 2017-12-16T20:54:03 | {"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": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://encyclopediaofmath.org/index.php?title=Curvature_lines,_net_of&oldid=43550 | # Curvature lines, net of
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
An orthogonal net on a smooth hypersurface $V_{n-1}$ in an $n$-dimensional Euclidean space $E_n$ ($n\geq3$), formed by the curvature lines (cf. Curvature line). A net of curvature lines on $V_{n-1}$ is a conjugate net... | 2020-09-19T19:00:57 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://stats.stackexchange.com/questions/31166/logistic-regression-residual-analysis | # Logistic regression residual analysis
This question is sort of general and long-winded, but please bear with me.
In my application, I have many datasets, each consisting of ~20,000 datapoints with ~50 features and a single dependent binary variable. I am attempting to model the datasets using regularized logistic r... | 2019-08-17T17:38:05 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.semanticscholar.org/paper/Nanoscale-heat-engine-beyond-the-Carnot-limit.-Ro%C3%9Fnagel-Abah/bbd6ec1564c667f59d0f44e89894cc388c5e94c6 | # Nanoscale heat engine beyond the Carnot limit.
@article{Ronagel2014NanoscaleHE,
title={Nanoscale heat engine beyond the Carnot limit.},
author={J. Ro{\ss}nagel and Obinna Abah and Ferdinand Schmidt-Kaler and Kilian Singer and Eric Lutz},
journal={Physical review letters},
year={2014},
volume={112 3},
pages={
030602
... | 2022-08-16T04:15:21 | {"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.thejournal.club/c/paper/49770/ | #### New tabulation and sparse dynamic programming based techniques for sequence similarity problems
##### Szymon Grabowski
Calculating the length of a longest common subsequence (LCS) of two strings $A$ and $B$ of length $n$ and $m$ is a classic research topic, with many worst-case oriented results known. We present... | 2021-06-14T15:46:18 | {"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... |
http://bitmath.blogspot.nl/2012_10_01_archive.html | ## Monday, 1 October 2012
### Calculating the lower and upper bounds of the bitwise XOR of two bounded variables
Again, the same sort of deal as before. This time with the eXclusive OR (XOR). So the goal is to calculate $$\min _{x \in [a, b], y \in [c, d]} x \oplus y$$ And $$\max _{x \in [a, b], y \in [c, d]} x \oplu... | 2017-05-24T07:49:05 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://doctorpenguin.com/covid19 | Receive a weekly summary and discussion of the top papers of the week by leading researchers in the field.
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Gen... | 2021-04-21T01:08:56 | {"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/size-of-everything.209705/ | # Size of everything
1. Jan 19, 2008
### bvic4
There was an article in this month's Scientific American and it mentioned that without the Higgs particle that atoms could be several inches across. This got me to thinking why we know the absolute size of something. Would something in a different world know if they wer... | 2017-06-26T16:00:41 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://homotopytypetheory.org/2012/03/30/a-direct-proof-of-hedbergs-theorem/?replytocom=1311 | ## A direct proof of Hedberg’s theorem
In his article published 1998, Michael Hedberg has shown that a type with decidable equality also features the uniqueness of identity proofs property. Reading through Nils Anders Danielsson’s Agda formalization, I noticed that the statement “A has decidable equality”, i.e. $\fora... | 2019-12-09T18:14:09 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 21, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://www.queryxchange.com/q/21_307077/taylor-series-for-logarithm-converges-towards-logarithm/ | # Taylor series for logarithm converges towards logarithm
by Ulrik Last Updated June 12, 2019 08:20 AM
Is there a way to show that the Taylor series around 0 of $f(x) = \ln(1-x)$ converges towards $f$ on the interval $(-1,1)$, just by considering the remainder from the Taylor polynomial? I'm having a little trouble... | 2019-06-26T13:52:43 | {"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://www.gradesaver.com/textbooks/science/physics/college-physics-4th-edition/chapter-9-problems-page-362/28 | ## College Physics (4th Edition)
The average blood pressure in a person's foot is $210~mm~Hg$
We can find the increase in blood pressure in the foot (compared with the aorta) due to the height difference with the aorta: $\Delta P = \rho~g~h$ $\Delta P = (1050~kg/m^3)(9.80~m/s^2)(1.37~m)$ $\Delta P = 14097~N/m^2$ We ca... | 2020-02-19T10:10:38 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://math.stackexchange.com/questions/2729874/how-many-solutions-do-these-systems-of-equations-have | # How many solutions do these systems of equations have?
I know what makes a system of equations have no solutions, but what leaves me confused are these matrices that are below. Do these matrices have an infinite number of solutions, since not every column have a pivot 1? Or is there a unique solution to both of thes... | 2019-12-15T05:35:58 | {"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... |
https://www.chemeurope.com/en/encyclopedia/Generalized_Newtonian_fluid.html | My watch list
my.chemeurope.com
Generalized Newtonian fluid
A generalized Newtonian fluid is an idealized fluid for which the shear stress, τ, is a function of shear rate at the particular time, but not dependent upon the history of deformation.
$\tau = F\left( \frac {\partial u} {\partial y} \right)$
where: ∂u/∂y ... | 2021-09-23T03:55:19 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 2, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://artofproblemsolving.com/wiki/index.php?title=2014_AIME_I_Problems/Problem_2&oldid=60870 | # 2014 AIME I Problems/Problem 2
An urn contains $4$ green balls and $6$ blue balls. A second urn contains $16$ green bals and $N$ blue balls. A single ball is drawn at random from each urn. The probability that both balls are of the same color is $0.58$. Find $N$.
Solution 1:The probability of drawing balls of the s... | 2021-12-05T01:27:10 | {"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": 0, "mathjax_asciimath": 0, "img_math": 7, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://nforum.ncatlab.org/discussion/6053/localization-is-adjoint-functor-factorization/?Focus=47997 | ## Not signed in
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I just noticed th... | 2022-05-25T17:39:24 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 10, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://www.elevri.com/courses/calculus-several-variables/vector-calculus | # Vector calculus
Vector calculus is the extension of differentiation and integration to vector fields. The techniques are primarily employed for vector fields in two and three dimensions, but the theory applies to any number of dimensions.
## Intro
Maxwell's equations is a set of four equations that describe and un... | 2023-03-26T21:57:06 | {"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... |
https://www.gamedev.net/forums/topic/680576-matrix-calculation-efficiency/ | • 11
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• ### Similar Content
• By lxjk
Hi guys,
There are many ways to do light culling in tile-based shading. I've been playing with this idea for a while, and just want to throw it out there.
Because tile frustums are general small compared to light radius, I tried using cone test to reduce false pos... | 2018-04-23T06:03:18 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://tjxb.cnjournals.cn/html/2018/05/17293.htm | 文章快速检索
同济大学学报(自然科学版) 2018, Vol. 46 Issue (5): 588-592. DOI: 10.11908/j.issn.0253-374x.2018.05.004 0
### 引用本文
LI Jingpei, YAO Mingbo. Analytical Solution for Sulfate Diffusion Reaction in Circular Concrete Piles[J]. Journal of Tongji University (Natural Science), 2018, 46(5): 588-592. DOI: 10.11908/j.issn.0253-374x... | 2019-02-17T07:19:02 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://electronics.stackexchange.com/questions/418728/find-the-transfer-function-of-the-circuit-if-current-i-is-the-measured-output | # Find the transfer function of the circuit if current I is the measured output
So there's this problem I am trying to solve:
Consider a series RL circuit corrected to a DC voltage source and an on-off switch. Assume R = 2 ohms, and L = 1H, and applied voltage V = 10 volts. Find the transfer function of the circuit i... | 2022-01-25T02:36:13 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.vedantu.com/question-answer/list-five-rational-numbers-between-dfrac-class-9-maths-cbse-5ed6aa497d5e1462b8c0a56e | Courses
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# List five rational numbers between $\dfrac{{ - 4}}{5}and\dfrac{{ - 2}}{3}.$
Last updated date: 22nd Mar 2023
Total views: 309k
Views today: 7.90k
Verified
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Hint: Try to make the denominators same for both the given numbers.
In this ques... | 2023-03-26T16:36:01 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathhelpforum.com/advanced-statistics/188362-conditional-probability-problem-print.html | # Conditional Probability problem
• Sep 19th 2011, 10:52 AM
mike2208
Conditional Probability problem
Let S be a sample space, with A is a subset S and B is a subset S. If P(A) = .6 what can be said about, P(A ∩ B),
when
(a) A and B are mutully exclusive?
(b) A is a subset B
(c) B is a subset A
(d) A′ is a subset B′
(e... | 2016-09-26T05:43:42 | {"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": 6, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://socratic.org/questions/59a3b3ff11ef6b6c9de62d07 | # What is the molar concentration of 68% "nitric acid", for which rho_"acid"=1.41*g*mL^-1?
Aug 28, 2017
$\text{Molarity} \cong 15 \cdot m o l \cdot {L}^{-} 1$
#### Explanation:
By definition, $\text{Molarity"="Moles of solute (mol)"/"Volume of solution (L)}$, and thus it has the units $m o l \cdot {L}^{-} 1$. So we... | 2022-01-26T20:45:23 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 7, "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.ck12.org/geometry/Triangle-Classification/lesson/Triangle-Classification-MSM7/ | <img src="https://d5nxst8fruw4z.cloudfront.net/atrk.gif?account=iA1Pi1a8Dy00ym" style="display:none" height="1" width="1" alt="" />
# Triangle Classification
## Categories of triangles based on angle measurements or the number of congruent sides.
Estimated4 minsto complete
%
Progress
Practice Triangle Classification... | 2016-08-30T09:38:34 | {"extraction_info": {"found_math": true, "script_math_tex": 25, "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://kb.osu.edu/handle/1811/7864?show=full | dc.creator Stoichefe, B. P. en_US dc.creator Flubacher, P. en_US dc.creator Leadbetter, A. J. en_US dc.creator Morrison, J. A. en_US dc.date.accessioned 2006-06-15T12:55:57Z dc.date.available 2006-06-15T12:55:57Z dc.date.issued 1959 en_US dc.identifier 1959-H-7 en_US dc.identifier.uri http://hdl.handle.net/1811/7864 dc... | 2021-04-23T08:55:37 | {"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://infoscience.epfl.ch/record/177908 | Infoscience
Journal article
# First Evidence of Direct CP Violation in Charmless Two-Body Decays of B-s(0) Mesons
Using a data sample corresponding to an integrated luminosity of 0.35 fb(-1) collected by LHCb in 2011, we report the first evidence of CP violation in the decays of B-s(0) mesons to K-+/-pi(-/+)pairs, A... | 2017-09-21T09:16:36 | {"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://www.nag.com/numeric/CL/nagdoc_cl23/html/S/s14agc.html | s Chapter Contents
s Chapter Introduction
NAG C Library Manual
# NAG Library Function Documentnag_complex_log_gamma (s14agc)
## 1 Purpose
nag_complex_log_gamma (s14agc) returns the value of the logarithm of the gamma function $\mathrm{ln}\Gamma \left(z\right)$ for complex $z$, .
## 2 Specification
#include #inc... | 2016-06-29T03:17:03 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 35, "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/1361012/if-lambda-n-n-1-infty-is-a-bounded-sequence-then-there-is-a-bounded-lin | # If $(\lambda_n)_{n=1}^\infty$ is a bounded sequence, then there is a bounded linear operator $A$ on a Hilbert space $H$ such that $Ae_n=\lambda_n e_n$
If $(\lambda_n)_{n=1}^\infty$ is a bounded sequence, then there is a bounded linear operator $A$ on a Hilbert space $H$ such that $Ae_n=\lambda_n e_n$ for all $n\in \... | 2019-06-26T12:37:30 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://sagrista.info/blog/2021/procedural-planetary-surfaces/ | # Procedural generation of planetary surfaces
Generating realistic planet surfaces and moons
I have recently implemented a procedural generation system for planetary surfaces into Gaia Sky. In this post, I ponder about different methods and techniques for procedurally generating planets that look just right and expla... | 2022-08-18T00:44:20 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 2, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://projecteuclid.org/euclid.aos/1017939239 | ## The Annals of Statistics
### Large sample Bayesian analysis for ${\rm Geo}/G/1$ discrete-time queueing models
Pier Luigi Conti
#### Abstract
In this paper, a nonparametric Bayesian analysis of queueing models with geometric input and general service time is performed. In particular, statistical inference for the... | 2019-11-21T00:14:37 | {"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": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://economics.stackexchange.com/questions/12098/obj-function-yielding-independent-goods-demand-functions | # Obj function yielding independent goods demand functions
I know that if the objective function (aka utility) is homothetic, demand functions will be linear in income. So for an homothetic demand function to give goods independent of prices other than their own, one has to have a Cobb-Douglas function as it also has ... | 2020-10-30T11:13:59 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://astarmathsandphysics.com/ib-physics-notes/thermal-physics/1467-ideal-gas-processes.html?tmpl=component&print=1&page= | ## Ideal Gas Processes
An ideal gas can undergo an number of changes, but there are four very important types of change, each obeying the first law of thermodynamics (). We can represent each type of change on a pV diagram.
1. Isochoric or Isovolumetric#. The gas has a constant volume.
1. Isobaric. The gas has a con... | 2017-10-24T04:17:19 | {"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://en.wikipedia.org/wiki/User:Virginia-American/Sandbox/Fundamental_theorem_of_arithmetic | # User:Virginia-American/Sandbox/Fundamental theorem of arithmetic
In number theory, the fundamental theorem of arithmetic (also called the unique factorization theorem or the unique-prime-factorization theorem) states (existence) that every integer greater than 1 is either prime itself or is the product of prime numb... | 2017-10-17T06:21:57 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 18, "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... |
https://itprospt.com/num/21121188/point-a-first-order-iinear-equation-in-the-form-y-x27-p | 5
# Point)A first order Iinear equation in the form y' + p(z)y f(z) can be solved by finding an integrating factor /(z) = exp p(z) dx(1) Given the equation 3y'...
## Question
###### Point)A first order Iinear equation in the form y' + p(z)y f(z) can be solved by finding an integrating factor /(z) = exp p(z) dx(1) Gi... | 2022-10-07T02:57:36 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathhelpforum.com/latex-help/173825-not-equivalent-sign-print.html | # Not equivalent sign
• March 8th 2011, 02:36 AM
hmmmm
Not equivalent sign
How do I get a not equivalent sign e.g. $\equiv$ with a / through it.
Thanks for any help.
• March 8th 2011, 02:39 AM
Plato
Quote:
Originally Posted by hmmmm
How do I get a not equivalent sign e.g. $\equiv$ with a / through it.
$$\not \equiv... | 2014-09-19T16:49:36 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 3, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://math.stackexchange.com/questions/1086187/number-of-n-permutations-for-which-tauk-id | # Number of $n$-permutations for which ${\tau}^k = id$
I am curious about the formula(any closed form) for the number of $n$-permutations $\tau$ such that ${\tau}^{n-1} = id$. How about for the case ${\tau}^n = id$ ?
• If $n$ is prime, there should be $(n-1)!+1$ of the form $\tau^n=\text{id}$, is that correct? Dec 31... | 2022-06-30T06:57:13 | {"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... |
http://www.reddit.com/r/cheatatmathhomework/comments/11fopw/real_analysis_prove_the_sequence_is_convergent_or/ | [–][S] 0 points1 point (1 child)
sorry, this has been archived and can no longer be voted on
Could I just use the nth term test and show that it approaches infinity and hence it is divergent??
[–] 0 points1 point (0 children)
sorry, this has been archived and can no longer be voted on
n2 > n2 - 1 = (n-1)(n+1) so... | 2015-05-03T14:29:51 | {"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://tw.answers.yahoo.com/question/index?qid=20080802000016KK10139 | # what's lognormal distribution?
what is lognormal distribution?
what's the different between lognormal and normal distribution?
i will really appreciate if anyone can answer it.
thx
### 1 個解答
• Sis
Lv 5
1 0 年前
最佳解答
In probability and statistics, the log-normal distribution is the single-tailed probability distr... | 2020-01-19T02:48:16 | {"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://mathoverflow.net/feeds/question/119470 | Naturality of the transfer in group cohomology - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-23T06:15:15Z http://mathoverflow.net/feeds/question/119470 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/119470/naturality-of-the-transfer-in-group-cohomology Natur... | 2013-05-23T06:15:09 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.beatthegmat.com/a-technician-makes-a-round-trip-to-and-from-a-certain-service-center-by-the-same-route-if-the-technician-completes-the-t327095.html?sid=adcf8e98c5a66b9eb16f4d3a01402613 | ## A technician makes a round-trip to and from a certain service center by the same route. If the technician completes the
##### This topic has expert replies
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### A technician makes a round-trip to and from a certain service center by the same rou... | 2021-12-06T02:52:07 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.nag.com/numeric/nl/nagdoc_latest/clhtml/f16/f16eac.html | # NAG CL Interfacef16eac (ddot)
Settings help
CL Name Style:
## 1Purpose
f16eac updates a scalar by a scaled dot product of two real vectors, by performing
$r←βr+α xT y .$
## 2Specification
#include
void f16eac (Nag_ConjType conj, Integer n, double alpha, const double x[], Integer incx, double beta, const doub... | 2021-06-15T13:30:15 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 74, "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.x-mol.com/paper/1216929385984839680 | Discrete Mathematics ( IF 0.770 ) Pub Date : 2020-01-13 , DOI: 10.1016/j.disc.2019.111797
Huajing Lu; Xuding Zhu
This paper proves that if $G$ is a planar graph without 4-cycles and $l$-cycles for some $l\in \left\{5,6,7\right\}$, then there exists a matching $M$ such that $AT\left(G-M\right)\le 3$. This implies that ... | 2020-08-11T19:33:07 | {"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://economics.stackexchange.com/questions/42701/how-much-revenue-could-an-100-land-value-tax-be-able-to-generate-for-the-indian/47356 | # How much revenue could an 100% land value tax be able to generate for the Indian government?
So as a Georgist (follower of Henry George), I believe most form of taxation is immoral and economically inefficient except the land value tax (not to be confused with property taxes) and other pigovian taxes. However, I'm a... | 2022-01-28T19:02:12 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.physicsforums.com/threads/temperature-dependence-of-lennard-jones-potential.712937/ | # Temperature dependence of Lennard-Jones potential
Homework Helper
My question is not so much about the Lennard-Jones potential, although I mentioned it in the title, but of the "force field" thinking in general.
So a lot of people are (were) interested in the phase transition temperature of the Ising model. How rea... | 2022-07-04T02:52:46 | {"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://cbsemathssolutions.in/lcm-full-form-explained/ | # LCM full form explained
Learn and know what is the LCM full form in mathematics. Generally, in the classes 5 and 6 this concept will be introduced. This is very important concept for the students which makes them to gain a strong foundation in learning and understanding math.
We should start learning about LCM from... | 2020-02-24T12:21:09 | {"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://exportersaustralia.com.au/schwab-vs-hupapc/floyd-warshall-algorithm-brilliant-c8c593 | ### floyd warshall algorithm brilliant
#### floyd warshall algorithm brilliant
The recursive formula for this predecessor matrix is as follows: If i=ji = ji=j or weight(i,j)=∞,Pij0=0.\text{weight}(i, j) = \infty, P^{0}_{ij} = 0.weight(i,j)=∞,Pij0=0. This algorithm, works with the following steps: Main Idea: Udating ... | 2021-06-15T02:36:30 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 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-perform-the-operation-and-write-the-result-in-standard-form-given-sqr | # How do you perform the operation and write the result in standard form given sqrt(-6)*sqrt(-2)?
Oct 4, 2016
$\sqrt{- 6} \cdot \sqrt{- 2} = - 2 \sqrt{3}$
#### Explanation:
Be a little careful!
$\sqrt{- 6} \cdot \sqrt{- 2} = \left(\sqrt{6} i\right) \cdot \left(\sqrt{2} i\right)$
$\textcolor{w h i t e}{\sqrt{- 6} ... | 2021-10-24T16:34:32 | {"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": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://openstudy.com/updates/5076ae4ae4b0ed1dac501dd2 | ## julie001 Group Title 9x-(7x+1/2)=3x+(1/2-X) one year ago one year ago
1. vipul92 Group Title
x=0
2. gaara438125 Group Title
do you know how to do the distributive property?
3. julie001 Group Title
Yea bt im nt sure hw to strt
4. lharrell97 Group Title
9x-(7x+1/2)=3x+(1/2-X) 9x-7x=2x 2x+1/2=3x+1/2-x 2x+1/2=2x... | 2014-08-28T23:28:25 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathhelpforum.com/calculus/15399-rates-change-lns-sin-cos.html | Math Help - Rates-Change with lns and sin/cos
1. Rates-Change with lns and sin/cos
I can't get the right answer for these two, mainly because they include trigonometry and lns.
2. Originally Posted by SportfreundeKeaneKent
I can't get the right answer for these two, mainly because they include trigonometry and lns.
... | 2014-04-19T23:48:47 | {"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": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 38, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://base12innovations.wordpress.com/2013/01/31/problem-of-the-day-13113/ | # Problem of the Day: 1/31/13
In the diagram below, the shortest paths from A to B along the gridlines are 6 units long. How many of these paths are there?
Solution to yesterday’s problem:
The trick here is that all of the exponents have two as a base. So we have to find a way to take out all the bases and leave onl... | 2018-06-25T02:05:49 | {"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": 6, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://www.voice-of-telefonsex.com/qh3kmsye/851a69-mgf-of-gamma-distribution-proof | 0\), write $$X\sim\text{gamma}(\alpha, \lambda)$$, if $$X$$ has pdf given by 0 & \text{otherwise.} Changing the variable $t$ to $x$ will produce the PDF formula given above. The CDF of this function can be found through integration by parts. 1.8. \begin{align} $$F(x) = \int^{x}_{-\infty} f(t) dt = \int^x_{-\infty} 0 dt... | 2022-05-16T19:09:03 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 2, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://zbmath.org/?q=an:0788.42013 | ## Two-scale difference equations. II: Local regularity, infinite products of matrices, and fractals.(English)Zbl 0788.42013
The authors represent the solution to the functional equation $$f(x)= \sum^ N_{n=0} c_ n f(kx- n)$$, where $$k\geq 2$$ is an integer and $$\sum^ N_{n=0} c_ n= k$$, in the time-domain, in terms o... | 2023-02-08T09:53:46 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathhelpforum.com/algebra/199548-distributive-law-print.html | # Distributive Law
• June 1st 2012, 10:08 AM
CSMajor
Distributive Law
Ok, so I'm self-teaching myself Algebra over the summer so that's one less math class I'll have to worry about and I have a question about 2 algebra problems. I'm trying to find out how exactly the author of the book I'm using got the answer to thes... | 2016-05-02T23:35:17 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 4, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.gradesaver.com/textbooks/science/chemistry/organic-chemistry-8th-edition/chapter-1-introduction-and-review-study-problems-page-36/1-21-c | # Chapter 1 - Introduction and Review - Study Problems: 1-21 c
Phosphorous
#### Work Step by Step
Add the superscripts. The name of the element can be identified with the number of protons. The sum of superscripts corresponds to the number of electrons and since in a neutral atom the number of electrons and protons ... | 2018-06-24T23:07:18 | {"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://zbmath.org/?q=an:1213.37093 | # 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... | 2016-05-06T01:44:30 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.physicsforums.com/threads/stress-energy-tensor.348009/ | # Stress-energy tensor
1. Oct 22, 2009
### Azrael84
Hi,
How would go about arguing that the Stress-Energy tensor is actually a tensor based on how it must be linear in both it's arguments?
I'm thinking it requires one 1-form to select the component of 4-momentum (e.g. $$\vec{E}=<\tilda{dt} ,\vec{P}> )$$ and also on... | 2018-03-22T09:00:34 | {"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": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://conceptmap.cfapps.io/wikipage?lang=en&name=Galactic_coordinate_system | # Galactic coordinate system
Artist's depiction of the Milky Way galaxy, showing the galactic longitude relative to the Galactic Center
The galactic coordinate system is a celestial coordinate system in spherical coordinates, with the Sun as its center, the primary direction aligned with the approximate center of the... | 2019-02-20T17:10:11 | {"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=3&cldcmpid=5448 | # Search by Topic
#### Resources tagged with Working systematically similar to Factors and Multiples Puzzle:
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### There are 128 results
Broad Topics > Using, Applying and Reasoning about Mathematics > Working systematically
### American Billions
##### Stage: 3 Chall... | 2015-08-02T02:30:50 | {"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": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.quantumstudy.com/physics/magnetic-effect-of-current-11/ | # Force b/w two Parallel current carrying wires
Force between two parallel current carrying wires :
To calculate the force between two infinite parallel current carrying wires separated by a distance r , we take an arbitrary point ‘ P ‘ on the second wire, the magnetic field at this point due to other wire is
$\disp... | 2021-11-29T18:36:50 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://shawnlyu.com/algorithms/intro-to-graph-algorithms-bfs-dfs/ | # Intro to Graph Algorithms – BFS & DFS
Graphs are a pervasive data structure in computer science, and algorithms for working with them are fundamental to the field.
Cormen, Thomas H., et al. Introduction to algorithms. MIT press, 2009.
Given a graph defined as G=(V,E) which is a set of vertices and edges, we’d be c... | 2021-07-24T00:30:22 | {"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": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.esaral.com/q/express-each-of-the-following-angles-in-radians-40183/ | Express each of the following angles in radians
Question:
Express each of the following angles in radians
$-22^{\circ} 30^{\prime}$
Solution:
Formula : Angle in radians = Angle in degrees $\times \frac{\pi}{180}$
The angle in radians $=\frac{\text { angle in minutes }}{60}$
Therefore, the total angle $=-\left(22+... | 2022-05-16T05:33:15 | {"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://math.stackexchange.com/tags/probability-theory/hot | # Tag Info
4
In general, the inequality $$\mathbb{E}\|X-Y\|^2 \leq \mathbb{E}\|X-Z\|^2 + \mathbb{E}\|Z-Y\|^2$$ does not hold. Simply consider arbitrary $X$, $Z := \frac{1}{2} X$ and $Y = \frac{1}{4}X$. Then $$\mathbb{E}\|X-Y\|^2 = \frac{9}{16} \mathbb{E}\|X\|^2$$ whereas $$\mathbb{E}\|X-Z\|^2 + \mathbb{E}\|Z-Y\|^2 = ... | 2014-09-01T19:26:59 | {"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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://scholarship.rice.edu/handle/1911/96008?show=full | dc.contributor.advisor Halas, Naomi J Hogan, Nathaniel J 2017-08-01T16:28:17Z 2017-08-01T16:28:17Z 2017-05 2017-04-13 May 2017 Hogan, Nathaniel J. "Light Transport in Nanomaterial Systems." (2017) Diss., Rice University. https://hdl.handle.net/1911/96008. https://hdl.handle.net/1911/96008 What happens as light traverse... | 2021-12-07T19:41:42 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://techtagg.com/standard-error/calculating-the-standard-deviation.html | Home > Standard Error > Calculating The Standard Deviation
Calculating The Standard Deviation
Contents
Using the formula: {SEM = So x Sqroot(1-r)} where So is the Observed Standard Deviation and r is the Reliability the result is the Standard Error of Measurement(SEM). Items that do not correlate with other items ca... | 2018-01-20T06:45:20 | {"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://study.com/academy/answer/a-block-of-mass-400-gm-is-hung-vertically-with-the-help-of-a-massless-spring-initially-block-is-in-equilibrium-position-spring-constant-of-the-spring-is-k-200-n-m-natural-length-of-the-spring-is-40-cm-now-the-block-is-stretched-to-some-distanc.html | # A block of mass 400 \ gm is hung vertically with the help of a massless spring. Initially block...
## Question:
A block of mass {eq}400 \ g {/eq} is hung vertically with the help of a massless spring. Initially block is in equilibrium position. Spring constant of the spring is {eq}k = 200 \ N/m {/eq}. Natural lengt... | 2021-05-06T03:50:03 | {"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.thejournal.club/c/paper/186015/ | In this paper, we address the issue of automatic tracking areas (TAs) planning in fifth generation (5G) ultra-dense networks (UDNs). By invoking handover (HO) attempts and measurement reports (MRs) statistics of a 4G live network, we first introduce a new kernel function mapping HO attempts, MRs and inter-site distance... | 2021-05-12T15:05:04 | {"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://pure.mpg.de/pubman/faces/ViewItemFullPage.jsp?itemId=item_2191938 | English
# Item
ITEM ACTIONSEXPORT
The Missing Link: Bayesian Detection and Measurement of Intermediate-Mass Black-Hole Binaries
Graff, P. B., Buonanno, A., & Sathyaprakash, B. S. (2015). The Missing Link: Bayesian Detection and Measurement of Intermediate-Mass Black-Hole Binaries. Physical Review D, 92(2): 022002. d... | 2020-02-20T19:15:42 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://physics.stackexchange.com/tags/hydrogen/new | # Tag Info
$\langle z\rangle=\int_0^\infty r^3dr[\int_0^{2\pi}d\phi\int_0^\pi \sin \theta \cos \theta d\theta]=0$ As the $\theta$ integration is zero. But the symmetry argument is clear if the integration is written is Cartesian coordinates.In that case $$\langle z\rangle=\int_{-\infty}^\infty \int_{-\infty}^\infty \i... | 2016-02-14T21:37:04 | {"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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://techutils.in/blog/tag/p-value/ | ## #StackBounty: #modeling #p-value #aic Does automatic model selection via AIC bias the p-values of the selected model?
### Bounty: 50
Let’s say I run a procedure where I fit every possible model given some set of covariates and I select the model with the minimum AIC. I know that if my selection criteria was based ... | 2021-01-22T10:14:57 | {"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": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://gallery49.com/lotus-pedunculatus-njtzk/adding-and-subtracting-radicals-worksheet-edfa0e | 3. hVmo�0�+�X41��y�&$endstream endobj 23 0 obj <> endobj 24 0 obj <> endobj 25 0 obj <>stream adding and subtracting radicals worksheet â activepatience.com #281944 Algebra 1 Worksheets | Radical Expressions Worksheets #281945 Adding and Subtracting Radical Expressions #281946 Example 1: Adding and Subtracting Squar... | 2022-01-22T12:33:25 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.esaral.com/q/if-the-solve-the-problem-33535 | Deepak Scored 45->99%ile with Bounce Back Crack Course. You can do it too!
# If the solve the problem
Question:
If the circles $x^{2}+y^{2}+5 K x+2 y+K=0$ and $2\left(x^{2}+y^{2}\right)+2 K x+3 y-1=0,(K \in R)$, intersect at the points $\mathrm{P}$ and $\mathrm{Q}$, then the line $4 x+5 y-K=0$ passes through $P$ and... | 2023-01-30T11:09:54 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://math.stackexchange.com/questions/27517/lp-norm-of-dirichlet-kernel | $L^p$ norm of Dirichlet Kernel
I'm having trouble showing that the $L^p$ norm of the $n$-th order Dirichlet kernel is proportional to $n^{1-1/p}$.
I've tried brute force integration and it didn't work out. I would be grateful for any hints.
Thanks.
-
Just to be clear, you want to find $$\| D_n \|_p = \left(\int_{-\... | 2015-07-05T09:59:03 | {"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://open.kattis.com/problems/thekingsguards | Hide
# The King's Guards
In a certain kingdom, the king wants to protect his citizens by deploying guards. He has recruited a number of guards, and has outfitted them with heavy armor for protection from bandits, foreign knights, and other ne’er-do-wells. His guards are tough, but unfortunately they aren’t very brigh... | 2022-06-26T13:55:41 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://probabilityexam.wordpress.com/2013/03/14/exam-p-practice-problem-49-aggregate-claim-costs/ | # Exam P Practice Problem 49 – Aggregate Claim Costs
Problem 49-A
The aggregate claim amount (in millions) in a year for a block of fire insurance policies is modeled by a random variable $Y=e^X$ where $X$ has a normal distribution with mean 4 and variance 2. What is the expected annual aggregate claim amount?
$\dis... | 2018-12-18T21:39:33 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 27, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://www.physicsforums.com/showthread.php?t=590123 | ## Figuring out compounding interest
I talk to people a lot about the power in investing their money. I've always relied on Excel to figure out things though and I'm getting sick of it. So I figured there was a way to do it simpler with math than making gigantic lists that detailed every month and year a person invest... | 2013-05-25T05:18:52 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://pbiecek.github.io/xai_stories/story-uplift-marketing1.html | Chapter 5 Story Uplift Modeling: eXplainable predictions for optimized marketing campaigns
Authors: Jan Ludziejewski (Warsaw University), Paulina Tomaszewska (Warsaw University of Technology), Andżelika Zalewska (Warsaw University of Technology)
Mentors: Łukasz Frydrych (McKinsey), Łukasz Pająk (McKinsey)
Key points... | 2021-03-06T05:08:02 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathoverflow.net/questions/12442/unusual-ray-tracing/12470 | # Unusual ray tracing
Background
Ray tracing is very common in computational geometry and the problem is then to find the point of intersection between the equation of a line and the equation of a plane in 3D.
The parametric form of the line is given by
$\mathbf{p}_\mathrm{line}=\mathbf{p}_\mathrm{a} + \xi (\mathbf... | 2015-10-07T19:40:31 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://ncatlab.org/nlab/show/G2 | group theory
∞-Lie theory
# Contents
## Idea
The Lie group $G_2$ is one (or rather: three) of the exceptional Lie groups. One way to characterize it is as the automorphism group of the octonions. Another way to characterize it is as the subgroup of the general linear group $GL(7)$ of those elements that preserve th... | 2015-05-29T10:22:11 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 37, "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://xxx.unizar.es/list/nlin/new | # Nonlinear Sciences
## New submissions
[ total of 18 entries: 1-18 ]
[ showing up to 2000 entries per page: fewer | more ]
### New submissions for Tue, 20 Mar 18
[1]
Title: On discretization of the Euler top
Authors: A.V. Tsiganov
Comments: 12 pages, 2 figures, LaTeX with AMS fonts
Subjects: Exactly Solvable and I... | 2018-04-23T07:54:16 | {"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://onemathematicalcat.org/Math/Geometry_obj/two_col_pf_tri_cong.htm | # Practice with Two-Column Proofs
You may want to review:
In this section, you will practice with two-column proofs involving the Pythagorean Theorem, triangle congruence theorems, and other tools.
A couple lengthy proofs are explored. You can print worksheets for these proofs, and practice supplying reasons for eac... | 2023-02-01T19:54:03 | {"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://www.shaalaa.com/question-bank-solutions/the-equation-hyperbola-whose-foci-are-6-4-4-4-eccentricity-2-hyperbola-standard-equation-hyperbola_58360 | # The Equation of the Hyperbola Whose Foci Are (6, 4) and (−4, 4) and Eccentricity 2, is - Mathematics
MCQ
The equation of the hyperbola whose foci are (6, 4) and (−4, 4) and eccentricity 2, is
#### Options
• $\frac{(x - 1 )^2}{25/4} - \frac{(y - 4 )^2}{75/4} = 1$
• $\frac{(x + 1 )^2}{25/4} - \frac{(y + 4 )^2}{75/... | 2021-04-10T19:43:13 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://mathspace.co/textbooks/syllabuses/Syllabus-452/topics/Topic-8353/subtopics/Subtopic-109845/?activeTab=theory | # Comparisons using models II
Lesson
We know that fractions show a number of equal size pieces (denominator) of a whole. For example, eighths are showing a number where eight equal size pieces will make a whole.
The number of parts selected (numerator) shows the value of the fraction.
## Comparing the size of fract... | 2022-01-26T17:32:56 | {"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... |
http://math.stackexchange.com/questions/207001/prove-log-bfx-is-big-theta-log-fx?answertab=active | # Prove $\log_bf(x)$ is big-theta $\log f(x)$
How can I prove that $\log_bf(x)$ is big-theta of $\log f(x)$ for any constant $b > 1$?
-
Hint: Note that $$\log_b(y)=\frac{\log y}{\log b}.$$
Remark: Slightly more generally, we have the change of base formula $$\log_b(y)=\frac{\log_a y}{\log_a b}.$$ This can be rewritt... | 2015-09-02T19:50:56 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathhelpforum.com/algebra/110944-needing-help-question.html | # Math Help - Needing help in this question
1. ## Needing help in this question
Q. The no. of distinct pairs of (a, b) real numbers that would satisfy $x=x^3+y^4$and $y=2xy$.
A-5
B-12
C-3
D-7
dont laugh anyone on such elementary question....help!!
2. Originally Posted by findmehere.genius
Q. The no. of distinct pai... | 2015-04-25T09:25:50 | {"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": 0, "codecogs_latex": 8, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://perimeterinstitute.ca/fr/conferences/infrared-problems-qed-and-quantum-gravity?qt-pi_page_blocks_quicktabs=3 | Le contenu de cette page n’est pas disponible en français. Veuillez nous en excuser.
# Infrared Problems in QED and Quantum Gravity
COVID-19 information for PI Residents and Visitors
Conference Date:
Mercredi, Décembre 7, 2016 (All day) to Jeudi, Décembre 8, 2016 (All day)
Scientific Areas:
Quantum Gravity
Infrared... | 2020-08-10T09:17:23 | {"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://diabetesjournals.org/care/article/30/11/2880/4815/Skeletal-Muscle-Deoxygenation-After-the-Onset-of | OBJECTIVE—People with type 2 diabetes have impaired exercise responses even in the absence of cardiovascular complications. One key factor associated with the exercise intolerance is abnormally slowed oxygen uptake (o2) kinetics during submaximal exercise. The mechanisms of this delayed adaptation during exercise are u... | 2022-09-27T21:23:45 | {"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": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://community.wolfram.com/groups/-/m/t/2132822?sortMsg=Replies | # Is causal relation dependent on planar embedding?
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I am stuck reading a passage from Jonathan Gorard's paper about relativity in the Wolfram model. At page 11, there is the definition of a "downward planar embedding". Definition 11 A “downward planar embedd... | 2021-04-14T08:10:09 | {"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://mathoverflow.net/questions/136381/product-of-fixed-points-and-kernel-of-frobenius-morphism | # Product of Fixed points and kernel of Frobenius morphism
If $G$ is a reductive algebraic group over an algebraically closed field of positive characteristic $p$, and $G$ is defined over the prime field, we have the Frobenius morphism $F: G\to G$, which for each positive number $r$ leads to two subgroups of $G$, name... | 2015-04-01T13:11:29 | {"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... |
http://dimacs.rutgers.edu/TechnicalReports/abstracts/2004/2004-42.html | ## Nonuniform Sparse Approximation with Haar Wavelet Basis
### Author: S. Muthukrishnan
ABSTRACT
Sparse approximation theory concerns representing a given signal on $N$ pointsas a linear combination of at most $B$ ($B\ll N$) elements from a dictionary so that the error of the representation is minimized; traditionall... | 2017-10-22T01:08:54 | {"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": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://www.koreascience.or.kr/article/JAKO201818564287493.page | 원전용 IC를 위한 CMOS 디지털 논리회로의 내방사선 모델 설계 및 누적방사선 손상 분석
• Received : 2018.03.07
• Accepted : 2018.05.29
• Published : 2018.06.01
Abstract
ICs(Integrated circuits) for nuclear power plant exposed to radiation environment occur malfunctions and data errors by the TID(Total ionizing dose) effects among radiation-damage phen... | 2020-08-15T09:18:57 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.gradesaver.com/textbooks/math/precalculus/precalculus-mathematics-for-calculus-7th-edition/chapter-4-section-4-3-logarithmic-functions-4-3-exercises-page-352/74 | ## Precalculus: Mathematics for Calculus, 7th Edition
$(-\infty, 4)$
RECALL: The logarithmic function $f(x) = \log_a{x}$ is defined only when $x$ is greater than $0$. This means that the given function is only defined when $8 - 2x$ is greater than zero. Thus, $8-2x \gt 0 \\-2x \gt 0-8 \\-2x \gt -8$ Divide $-2$ to both... | 2018-05-22T17:54:58 | {"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://mymathforum.com/calculus/10761-calculate-f-x.html | My Math Forum Calculate F'(x)
Calculus Calculus Math Forum
January 17th, 2010, 03:51 PM #1 Senior Member Joined: Nov 2009 Posts: 169 Thanks: 0 Calculate F'(x) F(x) = $\int _1\,^{cosx}\!\sqrt {1-t^2}dt$ why can't I just sub cosx in and get $\sqrt{1-cos^2 x}$ ?
January 17th, 2010, 05:58 PM #2
Global Moderator
Jo... | 2019-08-20T14:52:13 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 7, "/images/mat... |
http://barronstestprep.com/blog/gre/quant/ | # Prime Problem Solving
What is the largest prime number that is less than 220?
It seems like a pretty simple question. Maybe you think it’s something similar to “What is the capital of Missouri?” And if what you’re expecting is a snap answer, those are very similar questions. They both leave two possible responses: ... | 2014-11-28T08:20:35 | {"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": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://knotebook.org.s3-website-us-west-2.amazonaws.com/knotebook/racah/21/weights/weights.htm | ## Highest weight vectors
The simplest way to calculate Racah matrices is through construction of the highest weights, see arXiv:1112.2654 and arXiv:1508.02870.
Special:
• $[r]\otimes [r] \otimes \overline{[r]}\longrightarrow [r]$
• $[r]\otimes \overline{[r]} \otimes [r]\longrightarrow [r]$
• $[2,1]\otimes [2,1] \o... | 2018-01-17T18:18:36 | {"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": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://socratic.org/questions/what-is-the-equation-of-the-line-that-is-normal-to-f-x-2x-1-e-x-at-x-1-2 | # What is the equation of the line that is normal to f(x)=(2x-1)/e^x at x=1/2 ?
Equation of the normal line
$\textcolor{b l u e}{y = - \frac{1}{2} {e}^{\frac{1}{2}} \left(x - \frac{1}{2}\right)}$
#### Explanation:
$f \left(x\right) = \frac{2 x - 1}{e} ^ x$ at $x = \frac{1}{2}$
Solve for the point $\left({x}_{1} ,... | 2021-06-23T15:56:10 | {"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... |
http://math.stackexchange.com/questions/147528/how-can-you-have-a-density-function-that-depends-on-a-parameter | # How can you have a density function that depends on a parameter?
Let $X_1,...,X_n$ be a random sample from a distribution with mass/density function $f_X$ that depends on a (possible vector) parameter $\theta$. Then $f_{X_1}(x_1) = f_X(x_1;\theta)$ so that
$f_{X_1,...,X_k}(x_1,...,x_k) = \prod_{i=1}^kf_X(x_i;\theta... | 2014-03-09T05:51:01 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://math.stackexchange.com/questions/936077/solving-first-order-differential-equations | # Solving first order differential equations
So for this one I'm having trouble isolating for y. If its not possible then in the form with dy with the y variable and x with the x variable.
$$\frac{dy}{dx}-2xy=e^{x^{2}}.$$
• This isn't a separable equation. A better strategy is to look for an integrating factor. – Se... | 2019-10-15T02:22:39 | {"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... |
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