url string | text string | date timestamp[s] | metadata string |
|---|---|---|---|
https://www.general-relativity.net/2021/04/luminosity-distance.html | Friday, 16 April 2021
Luminosity distance
In section 8.5 we are looking at redshifts and distances. We started in an FLRW universe with metric
\begin{align}{ds}^2=-{dt}^2+a^2\left(t\right)\left[\frac{{\rm dr}^2}{1-\kappa r^2}+r^2{d\theta}^2+r^2\sin^2{\theta}{d\phi}^2\right]&\phantom {10000}(1)\nonumber\end{align}or
\... | 2021-10-22T07:37:10 | {"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://pages.tacc.utexas.edu/~eijkhout/istc/html/taylor.html | # Taylor series
The Taylor expansion theorem, in a sense, asks how well functions can be approximated by polynomials, that is, for a given function~$f$, can we find coefficients~$c_i$ with $i=1,\ldots,n$ so that $f(x)\approx c_0+c_1x+c_2x^2+\cdots+c_nx^n.$ This question obviously needs to be refined. What do we mean b... | 2021-08-05T17:02:00 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 2, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://www.cs.cmu.edu/afs/cs/project/jair/pub/volume20/younes03a-html/node5.html | The Additive Heuristic for POCL Planning
The key assumption behind the additive heuristic is subgoal independence. We give a recursive definition of the additive heuristic for POCL planning, starting at the level of literals and working towards a definition of heuristic cost for a partial plan.
Given a literal q, let... | 2016-08-24T18:46:09 | {"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://dec.dearbornschools.org/mod/glossary/showentry.php?eid=9289 | #### 7.RP.A.1
Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units. For example, if a person walks 1/2 mile in each 1/4 hour, compute the unit rate as the complex fraction 1/2/1/4 miles per hour, equivalently 2 miles per hou... | 2022-12-04T11:37:13 | {"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://quant.stackexchange.com/tags/compounding/hot | # Tag Info
4
There is no possibility to convert any two of your mentioned variables into the remaining one. For the compound and arithmetic return you can derive an inequality, but that's the best you can do. The definitions for your statements are: $$r_{\mathrm{compound}}= \prod_{t=0}^{n}{\left( 1+r_t \right)}$$ $$r... | 2021-05-08T19:45:42 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://engineering.stackexchange.com/tags/tolerance/hot | # Tag Info
7
The minimum clearance occurs when the largest possible shaft meets the smallest possible hole. That would be in this case a shaft of $50.02 mm$ in a hole of $50.00 mm$. The difference between the two is the $-0.02 mm$ from the solution you found.
6
There are two different aspects in your measurement. O... | 2020-05-28T12:45:51 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://paperwhy.aerobaticapp.com/2017/05/31/dropout-training-as-adaptive-regularization/ | # This is PaperWhy. Our sisyphean endeavour not to drown in the immense Machine Learning literature.
With thousands of papers every month, keeping up with and making sense of recent research in machine learning has become almost impossible. By routinely reviewing and reporting papers we help ourselves and hopefully so... | 2019-01-20T17:59:21 | {"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": 2, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://orbi.ulg.ac.be/browse?type=author&value=Mennesson%2C+B | References of "Mennesson, B" in Complete repository Arts & humanities Archaeology Art & art history Classical & oriental studies History Languages & linguistics Literature Performing arts Philosophy & ethics Religion & theology Multidisciplinary, general & others Business & economic sciences ... | 2017-09-19T21:02:54 | {"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://api-project-1022638073839.appspot.com/questions/how-do-you-differentiate-y-x-e-2x | # How do you differentiate y = (x)^(e^(2x))?
Mar 18, 2018
$\frac{\mathrm{dy}}{\mathrm{dx}} = {e}^{2 x} \setminus {x}^{{e}^{2 x}} \setminus \left\{\frac{1}{x} + \ln {x}^{2}\right\}$
#### Explanation:
We have:
$y = {x}^{{e}^{2 x}}$
We can take natural logarithms and use implicit logarithmic differentiation:
$\ln y... | 2021-04-17T20:18:16 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 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... |
https://math.stackexchange.com/questions/2410425/how-to-determine-truth-value-of-this-proposition | # How to determine truth value of this proposition?
Let $P(x,y)$ be the proposition $x^2=y$, where $x$ and $y$ are integers. Determine the truth value of each of the following proposition.
for $∃x P(6,x)$
Does this mean that 6 is $x$ in this case and $x$ is $y$ So $y$ would equal to $6^2=36$ How do I know if that's ... | 2019-06-25T05:53:41 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://socratic.org/questions/566b4bc07c01492b6c75fd84 | # In reactions between metals, and gases, which is likely to be the oxidizing agent?
Oxidants accept electrons; dioxygen gas gives ${O}^{2 -}$ when it oxidizes something, i.e. accepts electrons. A reducing agent donates electrons.
Given this, elemental metals tend to be reducing agents, and oxidants tend to be non-met... | 2021-06-15T09:30:20 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 3, "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/3047159/using-bayes-rule-to-calculate-conditional-probability | # using Bayes’ Rule to calculate conditional probability
i have following problem,
"Students who party before an exam are twice as likely to fail the exam as those who don't party (and presumably study). Of 20% of students partied before the exam, what percentage of students who failed the exam went partying?"
i bel... | 2019-07-20T16:06:07 | {"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": 1, "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=ci%3A1042.39523 | # zbMATH — the first resource for mathematics
Boundedness and global stability of a higher-order difference equation. (English) Zbl 1161.39011
This paper deals with the boundedness and global stability of following difference equation
$x_n=\frac{p+\sum_{j=1}^{m}\alpha_jx_{n-p_j}}{qx_{n-k} +\sum_{j=1}^{m}\alpha_jx_{n-p... | 2021-09-26T04:29:30 | {"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... |
http://math.stackexchange.com/questions/75207/euclidean-distance-proof | # Euclidean distance proof
How can I show that the Euclidean distance satisfies the triangle inequality?
Where the Euclidean distance is given by: $$d(p,q) = \sqrt{(p_1-q_1)^2 + \cdots + (p_n-q_n)^2}$$
Triangle Inequality: $\forall x,y,z\Bigl( d(x,z) \leq d(x,y) + d(y,z)\Bigr)$.
-
This is your third question on the... | 2014-03-12T09:03:23 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://www.assension.net/conseil-formation-accompagnement/write-a-rational-function-with-the-given-asymptotes | # Write a rational function with the given asymptotes
The asymptote represents values that are write a rational function with the given asymptotes not solutions to the equation, but could be a if i were an animal what would i be essay limit of solutions. For rational functions, vertical asymptotes are vertical lines t... | 2020-11-27T00:11:50 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://mathoverflow.net/questions/296788/bloch-ogus-spectral-sequence | # Bloch Ogus spectral sequence
Let $X$ be a smooth projective variety over $\mathbf{C}$, and $p : X_{\rm an}\to X_{\rm Zar}$ the obvious map of sites.
The Leray spectral sequence
$$H^r(X_{\rm Zar}, R^sp_*\mathbf{C})\Rightarrow H^{r+s}(X_{\rm an},\mathbf{C})$$ induces a filtration on $H^*(X_{\rm an},\mathbf{C})$ that... | 2019-06-24T20:39:28 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://ncertmcq.com/cbse-sample-papers-for-class-11-physics-term-2-set-4/ | Students can access the CBSE Sample Papers for Class 11 Physics with Solutions and marking scheme Term 2 Set 4 will help students in understanding the difficulty level of the exam.
## CBSE Sample Papers for Class 11 Physics Standard Term 2 Set 4 for Practice
Time Allowed: 2 Hours
Maximum Marks: 40
General Instructio... | 2022-11-27T08:40:21 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.daniweb.com/community-center/threads/70627/how-high-can-we-count-game/3 | 278 + 278 -278 = 278
278 - (-278) = 556
Exp(556)=556e+0
Lets extend our number system...yes complex number!!!
Cube root of 1:
(1)^(1/3) = 1, [-1 (+/-) sqrt(3)*i]/2
Now you give me cube root of i
I wondered what happened to this game. Why doesn't anyone play it anymore? Lol.
2 + 2 = 4
4 * 4 = 16
16 - 2 = 14
1... | 2018-06-21T14:39:51 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.dsprelated.com/freebooks/filters/Laplace_Analysis_Linear_Systems.html | ## Laplace Analysis of Linear Systems
The differentiation theorem can be used to convert differential equations into algebraic equations, which are easier to solve. We will now show this by means of two examples.
### Moving Mass
Figure D.1 depicts a free mass driven by an external force along an ideal frictionless s... | 2020-07-13T09:19:39 | {"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": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.toktol.com/notes/context/3257/maths/algebraic-expressions/choosing-the-letter | Use adaptive quiz-based learning to study this topic faster and more effectively.
# Choosing the letter
In an algebraic expression, the choice of the letter is not important.
However some letters are used more frequently depending on their interpretation in the formula.
Letter Range Meaning Values Expression
$x$, $... | 2017-07-24T16:47:20 | {"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://docs.ocean.dwavesys.com/en/latest/examples/and.html | # Boolean AND Gate¶
This example solves a simple problem of a Boolean AND gate on a D-Wave system to demonstrate programming the underlying hardware more directly; in particular, minor-embedding a chain.
Other examples demonstrate more advanced steps that are typically needed for solving actual problems.
## Example ... | 2019-11-16T02:45:04 | {"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": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://math.libretexts.org/Bookshelves/Algebra/Book%3A_Intermediate_Algebra_(OpenStax)/2%3A_Solving_Linear_Equations/2.E%3A_Foundation_(exercises) |
# 2.E: Foundation (exercises)
$$\newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} }$$
$$\newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}}$$
## Chapter Review Exercises
### Use a General Strategy to Solve Linear Equations
Solve Equations Using the General St... | 2019-07-19T04:19:46 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.gradesaver.com/textbooks/math/calculus/calculus-3rd-edition/chapter-11-infinite-series-11-6-power-series-exercises-page-577/20 | ## Calculus (3rd Edition)
The radius of converges is $R=1$ and the series converges at $-1\leq x \leq 1$.
Apply the ratio test: \begin{aligned} \rho &=\lim _{n \rightarrow \infty}\left|\frac{a_{n+1}}{a_{n}}\right|\\ &=\lim _{n \rightarrow \infty}\left|\frac{x^{n+1}}{(n+1)^{4}+2} \frac{n^{4}+2}{x^{n}} \right| \\ &= |x|... | 2021-04-23T01:48:18 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://math.stackexchange.com/tags/derivatives/new | # Tag Info
1
$$f'(x)=\lim_{h \to 0} \frac{h \sin (\pi/h)-0}{h}= \lim_{h \to 0} \sin (\pi/h)=\text{does not exist}.$$ $L=\lim_{x \to 0} \sin(\pi/x)$ does not exist for two sequeces $x_n=\frac{1}{n}$ and $x'_n=\frac{1}{(n+1/2)}$, let $g(x)=\sin(\pi/x)$, then $g(x_n)=0, g(x'_n)=1$ these being different there are two acc... | 2020-12-01T09:40:40 | {"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://socratic.org/questions/there-were-five-people-in-group-a-with-a-mean-lq-of-100-and-five-in-group-b-with | There were five people in group A, with a mean lQ of 100, and five in group B, with a mean IQ of 74. When Jack left group A for group B, both means increased, and the total of the two new means was 180. What Is Jack's IQ?
Aug 29, 2016
Jack's IQ is $80$.
Explanation:
Suppose that, Jack's IQ is $j$, and those of the ... | 2022-05-22T07:47:45 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 22, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://indico.math.cnrs.fr/event/910/?view=lecture | Séminaire de Physique Théorique
Convergent series : from lattice models to QCD
by Prof. Vasily SAZONOV (University of Graz)
Europe/Paris
Amphithéâtre Léon Motchane (IHES)
Amphithéâtre Léon Motchane
IHES
35, route de Chartres, F-91440 Bures-sur-Yvette (France)
Description
The standard perturbation theory leads to... | 2019-10-21T21:14:11 | {"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... |
https://stats.stackexchange.com/questions/378274/how-to-construct-a-cross-entropy-loss-for-general-regression-targets | # How to construct a cross-entropy loss for general regression targets?
It's common short-hand in neural networks literature to refer to categorical cross-entropy loss as "cross-entropy," even though there are a number of loss functions which could properly be described that way.
So, in general, how does one move fro... | 2019-08-26T10:05:40 | {"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/Trip_generation | # Trip generation
Trip generation is the first step in the conventional four-step transportation forecasting process used for forecasting travel demands. It predicts the number of trips originating in or destined for a particular traffic analysis zone (TAZ).[1] Trip generation analysis focuses on residences and reside... | 2022-07-01T01:51:29 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 14, "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/3490305/maximize-int-01-mathbbe-x-mathbbpx-ge-u3-mathrm-du-over-0 | # Maximize $\int_{0}^{1} \mathbb{E} |X-\mathbb{P}(X\ge u)|^3\,\mathrm du$ over $[0,1]$ valued $X$.
Find the maximal value of
$$\int_{0}^{1} \mathbb{E} |X-\mathbb{P}(X\ge u)|^3\,\mathrm du$$
over $$[0,1]$$ valued random variables $$X$$.
I believe that optimal $$X$$ takes exactly two different values, but I have a ha... | 2021-09-20T00:31:14 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
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56 records were found.
## Suppression of Charged Particle Production at Large Transverse Momentum in Central Pb--Pb Collisions at $\sqrt{s_{_{NN}}} = 2.76$ TeV
Inclusive transverse momentum spectra of primary charged particles in Pb-Pb collisions at $\sqrt{s... | 2019-08-24T21:57:38 | {"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://asmedigitalcollection.asme.org/materialstechnology/article/143/2/021003/1086725/A-Comparison-of-the-Thermo-Fluid-Properties-of-Ti | ## Abstract
Powder-bed fusion (PBF) process is a subdivision of additive manufacturing (AM) technology where a heat source at a controlled speed selectively fuses regions of a powder-bed material to form three-dimensional (3D) parts in a layer-by-layer fashion. Two of the most commercialized and powerful PBF methods f... | 2022-08-09T04:17:27 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 26, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://xmphysics.com/2023/01/09/4-3-3-couple/ | # 4.3.3 Couple
A couple consists of two equal but opposite forces whose lines of action are parallel but non-collinear.
In the example shown below, a couple is formed by two parallel forces F applied at both ends of a rod of length L.
Notice that both forces are going to cause the rod to rotate clockwise about the C... | 2023-01-30T10:58:58 | {"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": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 3, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.mathworks.com/examples/matlab/community/20283-arc-length-control-method-ritto-correa-camotim-2008 | MATLAB Examples
# Arc-length control method (Ritto-Correa & Camotim, 2008)
## Notation and references
The notation followed here and in the following MATLAB codes:
• arc_length.m
conforms to that used by Ritto-Correa & Camotim in the following reference:
Ritto-Correa, M. and Camotim, D. (2008). ”On the Arc-Length... | 2017-11-22T02:04:16 | {"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... |
https://simple.wikipedia.org/wiki/Formal_language | # Formal language
In mathematics, computer science and linguistics, a formal language is one that has a particular set of symbols, and whose expressions are made according to a particular set of rules. The symbol ${\displaystyle {\mathcal {L}}}$ is often used as a variable for formal languages in logic.[1]
Unlike nat... | 2021-12-04T21:25:34 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 8, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.semanticscholar.org/paper/Antipodal-symmetry-of-two-loop-MHV-amplitudes-Liu/f35c57665676d35a3f3b10220ea19981d87958b7 | # Antipodal symmetry of two-loop MHV amplitudes
@article{Liu2022AntipodalSO,
title={Antipodal symmetry of two-loop MHV amplitudes},
author={Yu-Ting Liu},
journal={Journal of High Energy Physics},
year={2022},
volume={2022}
}
• Yu-Ting Liu
• Published 24 July 2022
• Mathematics
• Journal of High Energy Physics
I presen... | 2023-02-09T08:54:18 | {"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": 1, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://www.physicspages.com/2016/12/06/ | # Canonical transformations: a few more examples
References: Shankar, R. (1994), Principles of Quantum Mechanics, Plenum Press. Section 2.7; Exercises 02.07.06 – 02.07.07, 02.07.08(4).
Here are a few more examples of canonical variable transformations.
Example 1 First, we revisit the two-body problem, in which we si... | 2017-06-28T19:05:36 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 137, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/m... |
http://theironmountain.com/ypfpm2/hvaua0.php?id=annuity-meaning-with-example-84374b | The annuity for ₹1 for 5 years at 6% interest is 0.237396. A Fixed Annuity is a personal retirement account in which the earnings are based on a fixed rate set by the insurance company. A Ltd. purchased a 5 years lease on 1 April 2013 for ₹500000. The same is true for the annuity payments. Homeowners Insurance: Protect... | 2021-06-13T00:06:59 | {"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": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.gradesaver.com/textbooks/math/algebra/elementary-algebra/chapter-8-coordinate-geometry-and-linear-systems-8-3-slope-of-a-line-problem-set-8-3-page-349/16 | ## Elementary Algebra
Published by Cengage Learning
# Chapter 8 - Coordinate Geometry and Linear Systems - 8.3 - Slope of a Line - Problem Set 8.3: 16
#### Answer
$m=\text{undefined}$
#### Work Step by Step
Using $m=\dfrac{y_1-y_2}{x_1-x2}$ the slope of the line determined by the given points, $( -4,-5 ) \text{ a... | 2018-08-18T05:27:14 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://openstudy.com/updates/55fdf2dde4b0b395cadc2b00 | ## anonymous one year ago Express the complex number in trigonometric form. -3 + 3 square root of three i
1. jim_thompson5910
I'm assuming the expression given is $$\Large -3+3\sqrt{3}*i$$ If so, then it's the same as last time but now $\Large a = -3$ $\Large b = 3\sqrt{3}$
2. anonymous
yeah, that is the correct ex... | 2016-10-27T15:40:03 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://math.stackexchange.com/questions/3062086/proof-by-induction-inductive-step-problem | # Proof by induction, inductive step problem
Prove by induction:
$$\sum_{i=0}^n 3^i =\frac {1}{2} (3^{n+1}-1)$$
Now, i know how to do the first step and i understand it but then i have a problem with the second step which is showing that its true for n+1.
My question is:
Is this notation corect:
$$\sum_{i=0}^{n+1... | 2019-12-07T09:17:06 | {"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": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.mathdoubts.com/integral-rules/ | # Integration Rules
### Properties
$\displaystyle \int udv$ $\,=\,$ $uv$ $-$ $\displaystyle \int vdu$
### Formulas
There are some standard results formed by some functions in integral calculus
#### Integration of Algebraic functions
$(1)\,\,\,$ $\displaystyle \int{x^n\,}dx$ $\,=\,$ $\dfrac{x^{n+1}}{n+1}+c$
$(2)\... | 2022-12-04T23:03:50 | {"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... |
http://mathoverflow.net/feeds/question/73159 | Does a fixed-point free "homotopy involution" imply that a manifold bounds? - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-26T07:59:25Z http://mathoverflow.net/feeds/question/73159 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/73159/does-a-fixed-point-free-h... | 2013-05-26T07:59:26 | {"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": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.wyzant.com/resources/answers/users/88612407 | 10/25/21
#### How can I graph this? {Parabolas} y=2x^{2}+3x-3
I never learned how to graph standard form only vertex.
10/24/21
#### Find an equation of the line that passes through (-1,-5) And (2,6)
Hello Guys i really need help with this question can someone submit a response ASP
10/23/21
#### Hi I really need ... | 2022-05-18T02:29:12 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://annals.math.princeton.edu/toappear | Articles to appear in forthcoming issues
(Note: The PDF files below do not reflect the final published format.)
## $p$-Adic families of Siegel modular cuspforms
by Fabrizio Andreatta, Adrian Iovita, Vincent Pilloni | From volume To appear in forthcoming issues
## Une version relative de la conjecture des périodes de... | 2013-12-10T10:58:14 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://stats.stackexchange.com/tags/cdf/new | # Tag Info
1
You can analyze this graphically with a ROC curve which relates as well to areas under Gaussian curves to the right of some value. You will be looking for the point where the ROC curve intersects the diagonal given by $P(TP) = Y\cdot P(FP)$ (There can be zero, one, or two solutions). You can do this easi... | 2020-10-25T17:19:09 | {"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... |
http://www.journaltocs.hw.ac.uk/index.php?action=browse&subAction=subjects&publisherID=48&journalID=9473&pageb=5 | for Journals by Title or ISSN for Articles by Keywords help
Subjects -> COMMUNICATIONS (Total: 359 journals) - AUDIO/VIDEO RECORDING AND REPRODUCTION (14 journals) - COMMUNICATIONS (304 journals) - DIGITAL AND WIRELESS COMMUNICATION (23 journals) - MEETINGS AND CONGRESSES (7 journals) - RADIO, TELEVISI... | 2015-11-30T06:10:56 | {"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": 2, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.physicsoverflow.org/759/decidability-algorithm-checking-universality-quantum-gate?show=2960 | # Decidability/algorithm for checking universality of a quantum gate set
+ 8 like - 0 dislike
303 views
Given a finite set of quantum gates $\mathcal{G} = \{G_1, \dots, G_n\}$, is it decidable (in computation theoretic sense) whether $\mathcal{G}$ is a universal gate set? On one hand, "almost all" gate sets are unive... | 2020-04-06T05:53:57 | {"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://math.stackexchange.com/questions/1404691/reducing-or-avoiding-the-gibbs-phenomenon | # Reducing or avoiding the Gibbs phenomenon.
What is your favourite method which would help reduce the Gibbs phenomenon in Fourier Series and Fourier Transforms? This could mean pre-processing or post-processing or altering the transform.
With the Gibbs phenomenon I mean the "overshoot" close to a step discontinuity ... | 2021-03-06T15:15:19 | {"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": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://astronomy.stackexchange.com/questions/14148/how-does-gravity-really-work/14165#14165 | # How does gravity really work
I am only 12 years old and I'm constantly wondering and trying understand how gravity really works. On YouTube everyone always talks about objects warping space time around themselves and uses the analogy of a trampoline. I still don't understand gravity because if space were like a tram... | 2021-11-30T02:57:28 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://breedingbetterbananas.iita.org/toby-alexander-zyfho/ljkp6o6.php?ea41c5=what-is-newton%27s-third-law | # what is newton's third law
According newton’s third law of motion: To every action there is an equal and opposite reaction. Explain why it is difficult for a fireman to hold a hose which ejects large amounts of water at a high velocity? The writers, via the character, are using Newton's third law as a metaphor for e... | 2021-04-22T17:33:37 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://cs50.harvard.edu/law/2019/notes/2/ | # Lecture 2
## From Binary to Programming Languages
### Machine Code
• Computer manufacturers make CPUs or Central Processing Units which recognize certain patterns of bits. Thus, these patterns are computer or CPU specific.
• CPUs understand machine code. These are the zeroes and ones that tell the machine what to... | 2022-10-07T13:39:05 | {"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://mathoverflow.net/questions/286253/disjoint-covering-number-of-an-ideal | # Disjoint covering number of an ideal
Let $\mathcal I$ be a $\sigma$-ideal with Borel base on an uncountable Polish space $X=\bigcup\mathcal I$.
Let $\mathrm{cov}(\mathcal I)$ (resp. $\mathrm{cov}_\sqcup(\mathcal I)$) be the smallest cardinality of a cover of $X$ by (parvise disjoint) Borel sets that belong to the i... | 2019-03-19T23:50:29 | {"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": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.physicsforums.com/threads/symmetry-and-conservation-of-charge.209416/ | # Symmetry and Conservation of Charge
1. ### Moridin
858
I understand that all conservation laws have underlying symmetries and that all symmetries have corresponding conservation laws. From reading some popular science books (don't shoot me :P), I understand that conservation of energy, linear and angular momentum a... | 2015-06-30T16:56:16 | {"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... |
https://socratic.org/questions/how-do-you-calculate-the-concentration-of-iodate-ions-in-a-saturated-solution-of | # How do you calculate the concentration of iodate ions in a saturated solution of lead (II) iodate, Pb(IO_3)_2? The K_(sp) = 2.6 xx 10^(-13)?
Jun 30, 2017
$\left[{\text{IO}}_{3}^{-}\right] = 8.0 \cdot {10}^{- 5}$ $\text{M}$
#### Explanation:
The idea here is that lead(II) iodate is considered insoluble in water, s... | 2020-11-27T08:57:37 | {"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://en.wikibooks.org/wiki/Linear_Algebra/Polynomials_of_Maps_and_Matrices/Solutions | # Linear Algebra/Polynomials of Maps and Matrices/Solutions
## Solutions
This exercise is recommended for all readers.
Problem 1
What are the possible minimal polynomials if a matrix has the given characteristic polynomial?
1. ${\displaystyle 8\cdot (x-3)^{4}}$
2. ${\displaystyle (1/3)\cdot (x+1)^{3}(x-4)}$
3. ${\d... | 2016-05-28T11:59:51 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 329, "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://physics.stackexchange.com/questions/129173/constructing-conserved-current-given-the-lagrangian?noredirect=1 | # Constructing conserved current given the lagrangian
Consider the following Lagrangian for a massive vector field $A_{\mu}$ in Euclidean space time: $$\mathcal L = \frac{1}{4} F^{\alpha \beta}F_{\alpha \beta} + \frac{1}{2}m^2 A^{\alpha}A_{\alpha}$$ where $F_{\alpha \beta} = \partial_{\alpha}A_{\beta} - \partial_{\bet... | 2019-08-21T06:06:37 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://socratic.org/questions/how-do-you-find-a-vertical-asymptote-for-y-cot-x | # How do you find a vertical asymptote for y = cot(x)?
The vertical asymptotes for $y = \cot x = \frac{\cos x}{\sin x}$ are of the form:
$x = n \pi$, where $n$ is any integer
since the denominator $\sin x = 0$ when $x = 0 , \pm \pi , \pm 2 \pi , \ldots$. | 2020-01-18T17:45:48 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 5, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://dmtcs.episciences.org/4487 | Garnero, Valentin and Sau, Ignasi - A Linear Kernel for Planar Total Dominating Set
dmtcs:3295 - Discrete Mathematics & Theoretical Computer Science, May 16, 2018, Vol. 20 no. 1
A Linear Kernel for Planar Total Dominating Set
Authors: Garnero, Valentin and Sau, Ignasi
A total dominating set of a graph $G=(V,E)$ is a... | 2020-02-26T00:21:39 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://math.stackexchange.com/questions/422225/i-dont-understand-this-proof-of-the-am-gm-inequality | # I don't understand this proof of the AM-GM inequality?
The proof uses this lemma which I understand:
$\mathbf {Lemma}$: Suppose $x$ and $y$ are positive real numbers such that $x>y$. If we decrease $x$ and increase $y$ by some positive quantity $E$ such that $x-E \ge y+E$, then $(x-E)(y+E) \gt xy$ . $\;$Hence, by s... | 2021-10-25T13:26:08 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://edurev.in/studytube/Wave-Guides--Part-1--Electromagnetic-Theory/50dfebcd-17c2-48a6-a49c-748541c47c22_t | Courses
# Wave Guides (Part - 1) Electrical Engineering (EE) Notes | EduRev
## Electromagnetic Theory
Created by: Machine Experts
## Electrical Engineering (EE) : Wave Guides (Part - 1) Electrical Engineering (EE) Notes | EduRev
The document Wave Guides (Part - 1) Electrical Engineering (EE) Notes | EduRev is a pa... | 2020-05-30T12:23:05 | {"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://kidsjoybox.com/what-is-30-4-as-a-mixed-fraction/ | # What is 30/4 as a Mixed Fraction?
Want to find 30/4 as a mixed fraction? Here is a step-by-step guide illustrating the easiest technique to convert an improper fraction as 30/4 as a mixed fraction.
Fractions can be expressed in different forms and here we shall learn about how to convert from one form to another.
... | 2023-02-09T11:41:29 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.sparrho.com/item/semilocal-density-functional-theory-with-correct-surface-asymptotics/8ef588/ | Semilocal density functional theory with correct surface asymptotics
Research paper by L. A. Constantin, E. Fabiano, J. M. Pitarke, F. Della Sala
Indexed on: 30 Mar '16Published on: 30 Mar '16Published in: Physics - Other
Abstract
Semilocal density functional theory is the most used computational method for electro... | 2020-10-23T11:03:08 | {"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://christopher5106.github.io/deep/learning/2016/11/15/linear-algebra-for-derivatives-in-multi-dimensional-spaces-tensor-product-inner-outer-products.html | Deep learning involves lot’s of the derivatives’computations in multi-dimensional spaces.
In particular, any network module, as well as a full network composed of multiple modules, are mapping functions between input and output spaces
but also between parameter and output space
which is of much interest for the grad... | 2018-08-21T03:55:25 | {"extraction_info": {"found_math": true, "script_math_tex": 11, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://www.bazpedia.com/en/c/y/c/Cyclotron.html | # Cyclotron
A pair of "Dee" electrodes with loops of coolant pipes on their surface at the Lawrence Hall of Science.
A cyclotron is a type of particle accelerator. Cyclotrons accelerate charged particles using a high-frequency, alternating voltage (potential difference). A perpendicular magnetic field causes the part... | 2013-06-20T04:44:11 | {"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": 0, "img_math": 6, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://emoy.net/Euler-Lagrange-Equation | # P r o j e c t s
N o t e s
## Euler-Lagrange Equation
This equation is useful when finding the critical point of the integral equation.
Suppose that y(x) passes through the points (x_1, y_1) and (x_2, y_2) and it is a continuously differentiable function in [x_1, x_2]. We want to find min int_{x_1}^{x_2}y(x)dx or m... | 2019-12-10T22:44:40 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://itl.nist.gov/div898/handbook/prc/section4/prc433.htm | 7. Product and Process Comparisons
7.4. Comparisons based on data from more than two processes
7.4.3. Are the means equal?
## The ANOVA table and tests of hypotheses about means
Sums of Squares help us compute the variance estimates displayed in ANOVA Tables The sums of squares SST and SSE previously computed for the... | 2017-01-23T12:33:21 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 2, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathhelpforum.com/statistics/200205-normal-distribution-symmetry.html | # Math Help - Normal Distribution and symmetry
1. ## Normal Distribution and symmetry
Can you help me explain how to find probability using the idea that the normal distribution is symmetric? Thank you
2. ## Re: Normal Distribution and symmetry
For example, $P(-1 \le z \le 1) = 2P(0 \le z \le 1)$, using symmetry.
... | 2014-09-18T22:41:15 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 3, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://eprints.lancs.ac.uk/id/eprint/144217/ | # Simultaneous measurement of the muon neutrino charged-current cross section on oxygen and carbon without pions in the final state at T2K
, T2K Collaboration and Dealtry, T. and Finch, A. J. and Kormos, L. L. and Lawe, M. and Nowak, J. and O'Keeffe, H. M. and Ratoff, P. N. and Walsh, J. G. and Doyle, Tristan (2020) S... | 2020-10-29T05:32:24 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://codeforces.com/problemset/problem/1004/C | C. Sonya and Robots
time limit per test
1 second
memory limit per test
256 megabytes
input
standard input
output
standard output
Since Sonya is interested in robotics too, she decided to construct robots that will read and recognize numbers.
Sonya has drawn $n$ numbers in a row, $a_i$ is located in the $i$-th positio... | 2019-01-20T16:29:31 | {"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": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://bootmath.com/constructing-continuous-functions-at-given-points.html | # Constructing Continuous functions at given points
Ok. This question may sound very easy, but actually i am in great need of it. I have been facing trouble in constructing functions, which are only continuous at some particular sets.
For e.g, the standard example of a function which is only continuous at one point, ... | 2018-06-21T12:20:56 | {"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://mathoverflow.net/questions/39165/sprague-grundy-sequence-for-the-ruler-game?sort=oldest | Sprague-Grundy sequence for the ruler game
Consider the game "Ruler", which is defined as follows. We start with finitely many coins in a line. A move in this game consists of turning over any number of coins, but they must be consecutive, and the rightmost coin must be turned from heads to tails. Then the position in... | 2016-07-24T08:53:07 | {"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": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://physics.stackexchange.com/questions/607151/feeling-heavy-in-an-upward-accelerating-elevator-is-it-a-pseudo-force | # Feeling heavy in an upward accelerating elevator - is it a pseudo force?
In an elevator accelerating upwards, a person weighs "heavier" on a scale. The normal force can be expressed as $$N=m(a+g)$$, a being the upward acceleration. In this case, is $$ma$$ a fictional force in the non-inertial frame of the elevator o... | 2022-05-28T10:32:49 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://stats.stackexchange.com/questions/526966/using-batchnorm-and-dropout-simultaneously | Using batchnorm and dropout simultaneously?
I am a bit confused about the relation between terms "Dropout" and "BatchNorm". As I understand,
1. Dropout is regularization technique, which is using only during training.
2. BatchNorm is technique, which is using for accelerating training speed, improving accuracy and e... | 2021-12-03T01:54:24 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://www.thefullwiki.org/Advanced_ANOVA/MANOVA | # Advanced ANOVA/MANOVA: Wikis
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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.
# Study guide
Up to date as of January 14, 2010
### From Wikiversity... | 2017-09-19T15:26:18 | {"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": 1, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://tex.stackexchange.com/questions/471516/blockarray-superscript | # Blockarray superscript
I am using blkarray to generate a labelled matrix. I would like to indicate the transpose of such matrix using a superscript with T. However I cannot find the right syntax to get what I want. Below you can find my attempts.
\documentclass{article}
\usepackage{blkarray}
\usepackage{amsmath,bm,... | 2019-07-20T00:57:43 | {"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": 2, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://www-spires.fnal.gov/spires/find/books/www?keyword=Topological+groups | Fermilab Core Computing Division
Library Home | Ask a Librarian library@fnal.gov | Book Catalog | Library Journals | Requests | SPIRES | Fermilab Documents |
Fermilab Library
SPIRES-BOOKS: FIND KEYWORD TOPOLOGICAL GROUPS *END*INIT* use /tmp/qspiwww.webspi1/17729.14 QRY 131.225.70.96 . find keyword topological ... | 2019-04-25T00:10:38 | {"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... |
http://www.ask.com/question/how-are-the-numerator-and-denominator-determined-when-converting-decimal-to-a-fraction | # How Are the Numerator and Denominator Determined When Converting Decimal to a Fraction?
You can convert a decimal to a fraction easily by just doing a few simple steps. First, you need to write down the decimal divided by 1. for example, the decimal is .80 so .80/1. Then you need to multiply the top and bottom of th... | 2014-04-20T14:00:29 | {"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://socratic.org/questions/what-is-the-z-score-of-sample-x-if-n-4-mu-32-sd-10-and-e-x-31 | What is the z-score of sample X, if n = 4, mu= 32, SD =10, and E[X] =31?
$Z = \frac{E \left(X\right) - \mu}{\frac{s d}{\sqrt{n}}} = \frac{31 - 32}{\frac{10}{2}} = \frac{1}{5}$
$Z = \frac{E \left(X\right) - \mu}{\frac{s d}{\sqrt{n}}} = \frac{31 - 32}{\frac{10}{2}} = \frac{1}{5}$ | 2023-03-29T06:56:01 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 2, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://bktsupply.com/queen-bed-vnc/2a09d5-a-geometric-series-is-a-%2B-ar-ar-2 | a+ar+ar^2 + ...The term of the series is ar^n.This series converges if |r|<1 and diverges otherwise.If it converges, it converges to a/(1-r). A sequence in which every term is obtained by multiplying or dividing a definite number with the preceding number is known as a geometric sequence i.e a sequence of numbers in wh... | 2021-04-18T01:36:34 | {"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": 2, "mathjax_display_tex": 2, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://brilliant.org/practice/taylor-series/ | Calculus
# Taylor Series
Determine the Taylor series for the function $f(x) = \sin(x)\cos(x) \text{ centered at } x = \pi.$
At $a = 0$, what is the Taylor series expansion of
$\ln ( 1 + x ) ?$
At $a = 0$, what is the Taylor series expansion of
$\frac{1}{(1-x)^2} ?$
Given the Maclaurin series expansion of $\exp(x... | 2020-07-09T22:11:59 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 25, "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.caopt.com/LION12/tutorials.php | Invited and Tutorials
# Invited talks
1. Algorithmic aspects of the Lovász local lemma
Can a needle be efficiently located in a haystack? Sometimes!
Department of Mathematics, National and Kapodistrian University of Athens, Greece
Let $\inline&space;\small&space;X_1,&space;\dots,X_n$ be random variables and let $\i... | 2017-12-15T06:06:22 | {"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": 0, "img_math": 0, "codecogs_latex": 4, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://de.zxc.wiki/wiki/Str%C3%B6mungen_in_offenen_Gerinnen | # Currents in open channels
Natural or near-natural open channel
Artificial channel
(channeling the line in Göttingen)
Currents in open channels and standing waters are a type of physical flow that is important for many areas of hydrology . The subject is also known as channel hydraulics .
Flumes are natural or arti... | 2022-06-25T17:08:01 | {"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://stats.stackexchange.com/questions/520276/survival-analysis-how-to-handle-data-where-i-know-the-event-occurred-but-i-don | # Survival analysis: How to handle data where I know the event occurred, but I don't know when it occurred?
I am trying to do a survival analysis on some cancer data. I plan on doing Kaplan-Meier and Cox proportional hazards regression. I am interested in looking at the impact of various variables on overall survival.... | 2022-05-27T22:50:45 | {"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": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://math.stackexchange.com/questions/2521310/p-adic-integers-and-projective-limit-of-u-u-n | # $p$-adic integers and projective limit of $U/U_n$
Context: I am currently reading through Serge Lang's Algebraic Number Theory without much knowledge of category theory or advanced algebra.
In the book, $\mathbb{Z}_p$ is defined as a subgroup of infinite direkt product $$\mathbb{Z}_p = \cdots \times \mathbb{Z}/p^n\... | 2019-05-21T02:52:44 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://math.stackexchange.com/questions/73457/the-convergence-of-fourier-series | # the convergence of Fourier series
Assume now we have $f(x)\in L^1([0,1])$, then we don't necessarily have the convergence of the partial sum of the Fourier series, moreover, by the theorem of kolmogorov, we can even have a.e. divergence of the partial sum.
Now my question is, for $f(x)\in L^1([0,1])$, denote the Fo... | 2014-08-28T15:39:25 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.gamedev.net/forums/topic/479357-vector-class-overriding-the---operator/ | • 13
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# Vector class, overriding the - operator
This topic is 3713 days old which is more than the 365 day threshold we allow for new replies. Please post a new topic.
## Recommended Posts
Hi, I'm still trying to find the problem with my messed up normals, and I've managed to trace the problem to m... | 2018-03-17T18:56:18 | {"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... |
https://tex.stackexchange.com/questions/264260/matrix-product-illustration | # Matrix product illustration
I would like to write the presentation of the matrix product by putting the two matrices in diagonal, giving an easy-to-remember method to compute the coefficients. Wikipedia has the following presentation:
I am not necessarily aiming at something that fancy, but still I am not sure whic... | 2021-09-21T11:37:39 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://pythonhosted.org/DAGPype/numpy_chunks.html | # NumPy And High-Performance Chunking¶
• NumPy Array Sinks describes how to transform the output of a pipeline to a NumPy array, and some points regarding this.
• High Performance Chunking describes stages that chunk the data internally for high performance. Each such stage uses NumPy arrays internally.
The relevant ... | 2013-05-25T08:46:27 | {"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": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.nature.com/articles/s41467-019-09187-w?error=cookies_not_supported&code=7b03f2ef-f889-4770-bf6f-4e8a8ed94f48 | Article | Open | Published:
# Phase transitions in few-monolayer spin ice films
## Abstract
Vertex models are an important class of statistical mechanical system that admit exact solutions and exotic physics. Applications include water ice, ferro- and antiferro-electrics, spin ice and artificial spin ice. Here we sh... | 2019-06-16T11:42:33 | {"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": 2, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://quant.stackexchange.com/tags/heston/new | # Tag Info
4
The numerical approximation of the call option price in the Heston model is notoriously unstable and can easily lead to imprecise answers for extreme parameter. Several different formulas exist for computing the price with some being more stable than others. The formula you are using is arguably one of t... | 2021-04-12T01:53:45 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.numerade.com/books/chapter/differentiation-rules/?section=17 | 💬 👋 We’re always here. Join our Discord to connect with other students 24/7, any time, night or day.Join Here!
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Write the composite function in the form $f(g(x)).$ [Identify the inner function $u = g(x)$ and the outer function $y = f(u).$ ] Then find the derivative $dy/ d... | 2021-10-21T10:45:52 | {"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": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathhelpforum.com/calculus/20609-describing-path-steepest-ascent-w-parametric-equations.html | ## Describing the path of steepest ascent w/ parametric equations
I have a function f(x,y) = y / x^2 , starting at the pt. (4,0) where z = 0.
I want to find parametric equations that describe the path of steepest ascent to a point on the surface z = 3.
I have no problem sketching the curve and finding the gradients a... | 2015-09-03T22:34:21 | {"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://mathhelpboards.com/threads/sturm-liouville-operator.709/ | # [SOLVED]Sturm-Liouville operator
#### Poirot
##### Banned
What does it mean for Sturm-Liouville operator to be symmetric w.r.t an inner product?
I was reading in a book that it is symmetric but that was about a certain integral being zero and inner products had not even been mentioned.
#### Ackbach
##### Indiciu... | 2021-03-05T13:21:51 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://plainmath.net/45896/suppose-that-we-roll-a-fair-die-until-a-6 | # Suppose that we roll a fair die until a 6
Suppose that we roll a fair die until a 6 comes up.
a) What is the probability that we roll the die n times?
b) What is the expected number of times we roll the die?
You can still ask an expert for help
## Want to know more about Probability?
• Questions are typically answ... | 2022-10-01T17:01:14 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 46, "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://gomathanswerkey.com/texas-go-math-grade-4-lesson-1-1-answer-key/ | # Texas Go Math Grade 4 Lesson 1.1 Answer Key Place Value and Patterns
Refer to our Texas Go Math Grade 4 Answer Key Pdf to score good marks in the exams. Test yourself by practicing the problems from Texas Go Math Grade 4 Lesson 1.1 Answer Key Place Value and Pattern.
## Texas Go Math Grade 4 Lesson 1.1 Answer Key P... | 2022-01-24T23:44:41 | {"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://blog.myrank.co.in/cramers-rule-example/ | # Cramer’s Rule Example
### Cramer’s Rule Example
1) Solve the system of equation X – 2Y + 3Z = 2, 2X + 4Y + 2Z = -1, X + 2Y – 2Z = 5.
Solution: Given that
X – 2Y + 3Z = 2,
2X + 4Y + 2Z = -1,
X + 2Y – 2Z = 5
We can written as matrix form
$$\Delta =\left( \begin{matrix} 1 & -2 & 3 \\ 2 & 4 & 2 \\ 1 & 2 & -2 \\\e... | 2022-10-03T11:21:45 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.neetprep.com/ncert-question/228605 | 7.60 The pH of 0.1M solution of cyanic acid (HCNO) is 2.34. Calculate the ionization constant of the acid and its degree of ionization in the solution.
c = 0.1 M
pH = 2.34
$-\mathrm{log}\left[{\mathrm{H}}^{+}\right]=\mathrm{pH}\phantom{\rule{0ex}{0ex}}-\mathrm{log}\left[{\mathrm{H}}^{+}\right]=2.34\phantom{\rule{0ex... | 2023-02-01T16:53:55 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 1, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://sinews.siam.org/Details-Page/exploring-the-dynamics-of-honeybee-mortality-and-colony-collapse-in-winter | SIAM News Blog
SIAM News
# Exploring the Dynamics of Honeybee Mortality and Colony Collapse in Winter
Global honeybee populations are declining at a troubling rate. Scientists attribute this continued drop to a variety of phenomena, including industrial agriculture, colony collapse disorder, parasitic/pathogenic infe... | 2020-02-22T17:27:43 | {"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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://math.stackexchange.com/questions/267363/isosceles-triangle | # Isosceles triangle
Let $\triangle ABC$ be an $C$-isosceles and $P\in (AB)$ be a point so that $m\left(\widehat{PCB}\right)=\phi$. Express $AP$ in terms of $C$, $c$ and $\tan\phi$.
Edited problem statement(same as above but in different words):
Let $\triangle ABC$ be a isosceles triangle with right angle at $C$. De... | 2014-10-22T13:04:28 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://en.wikipedia.org/wiki/CR_structure | # CR manifold
(Redirected from CR structure)
In mathematics, a CR manifold is a differentiable manifold together with a geometric structure modeled on that of a real hypersurface in a complex vector space, or more generally modeled on an edge of a wedge.
Formally, a CR manifold is a differentiable manifold M togethe... | 2017-06-29T14:20:17 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 87, "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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