url string | text string | date timestamp[s] | metadata string |
|---|---|---|---|
https://physics.stackexchange.com/questions/594937/why-do-physicists-use-plane-waves-so-much/594938 | # Why do physicists use plane waves so much?
When looking at solutions of the Dirac equation people tend to give solutions as $$\psi^{(1)} = e^{\frac{-imc^2t}{\hbar}}\begin{pmatrix}1\\0\\0\\0\\\end{pmatrix},\psi^{(2)} = e^{\frac{-imc^2t}{\hbar}}\begin{pmatrix}0\\1\\0\\0\\\end{pmatrix},\psi^{(3)} = e^{\frac{imc^2t}{\hb... | 2021-03-09T10:48:59 | {"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": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://tlverse.org/hal9001/index.html | Authors: Jeremy Coyle, Nima Hejazi, and Mark van der Laan
## What’s hal9001?
hal9001 is an R package providing an implementation of the scalable Highly Adaptive Lasso (HAL), a nonparametric regression estimator that applies L1-regularized regression (i.e., the Lasso) to a design matrix composed of indicator functions... | 2019-09-15T22:32:17 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.chilimath.com/lessons/intermediate-algebra/solving-compound-inequalities/ | # Solving Compound Inequalities
When solving compound inequalities, we are going to deal with two general cases or types.
• The first case involves solving two linear inequalities joined by the word “and”. The word “and” is also known as a conjunction. The solution of an “and” compound inequality is the set of all va... | 2022-06-27T05:18:54 | {"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://hal.archives-ouvertes.fr/hal-01404578 | # Stable explicit schemes for simulation of nonlinear moisture transfer in porous materials
Abstract : Implicit schemes have been extensively used in building physics to compute the solution of moisture diffusion problems in porous materials for improving stability conditions. Nevertheless, these schemes require impor... | 2021-06-13T03:37:59 | {"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... |
http://mathhelpforum.com/calculus/18992-second-fundamental-theorem-calculus-print.html | # Second Fundamental Theorem of Calculus
• Sep 15th 2007, 11:37 AM
Fourier
Second Fundamental Theorem of Calculus
Is it possible to use the Second Fundamental Theorem of Calculus on $C(x)$ to find $C'(x)$, if
$C(x)=\sum_{j=1}^{n}{\bigg|N_{j}\int_{x}^{x_j}{k(s) ds}\bigg|}$,
where $N_j$ is some constant, and $k(s)$ is... | 2017-11-18T05:32:30 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 12, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://www.gamedev.net/forums/topic/547360-c-array-compare-elements/ | # C++ array compare elements?
## Recommended Posts
I made a problem up and I'm having some trouble trying to find the lowest value element in an array. I know it's a logic error, but I've spent hours on it and I can't figure it out.
/* We have 10 CDs all at different prices. Using arrays and
increment/decrement compa... | 2017-11-21T16:24:46 | {"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": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://tex.stackexchange.com/questions/416446/tikzpicture-chart-with-custom-functions | # Tikzpicture chart with custom functions
I'm trying to create the chart drawn below. I have tried using Tikzpicture, but I'm struggling.
\begin{center}
\begin{tikzpicture}
\begin{axis}[
xlabel=$\kappa''$,
ylabel={$x_j^*$} ]
xtick={-1,0,...,1},
ytick={0.2},
\end{axis}
\end{tikzpicture}
\end{center}
Any sugge... | 2020-01-27T10:06:44 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://math.stackexchange.com/questions/90581/inference-rules-application-introduction-elimination-two-examples | # inference rules application (introduction / elimination): two examples
Got stuck while trying out how to apply inference rules (introduction and elimination) for the following examples:
1. From $\lnot(P\land Q)$ and $P$ infer $\lnot Q$
2. From $P\lor Q$ and $Q$ infer $\lnot P$
Could you please demonstrate how thi... | 2014-09-23T02:58:17 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathhelpforum.com/differential-equations/179641-1st-order-semi-linear-pde-xu_x-yu_y-u-3-a-print.html | # 1st Order Semi Linear PDE xu_x+yu_y=u+3
• May 5th 2011, 11:22 AM
bugatti79
1st Order Semi Linear PDE xu_x+yu_y=u+3
Folks,
Could anyone check my attached work. Mathematica seems to output u(x,y)=-3+2x for the particular solution...
Thanks
• May 5th 2011, 01:39 PM
TheEmptySet
If we parametrize x and y we have
$x(s)... | 2015-06-03T20:02:02 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 17, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://web2.0calc.com/questions/let-displaystyle-f-x-frac-1-x-3-and-displaystyle-g-x-frac-1-x-7-then-the-domain-of-f-circ-g-is-equal-to-all-reals-except-for | +0
# Let \displaystyle f(x) = \frac{1}{x-3} and \displaystyle g(x) = \frac{1}{x-7}. Then the domain of f\circ g is equal to all reals except for
+3
278
1
Let \displaystyle f(x) = \frac{1}{x-3} and \displaystyle g(x) = \frac{1}{x-7}. Then the domain of f\circ g is equal to all reals except for two values, a and b wit... | 2018-01-17T18:14:06 | {"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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://docs.opengosim.com/theory/soil_comp/ | Soil Compressibility Model¶
Three models are available in PFLOTRAN to compute the soil compressibility, which reflect sthe rock porosity changes due to pressure build ups and relaxations. The use of ‘soil’ rather than ‘rock’ reflects PFLOTRAN’s general-purpose origins, but they are applied to the pore volume of the ro... | 2022-09-26T00:51:07 | {"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": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://math.stackexchange.com/questions/3042354/linearly-constrained-quadratic-program | I have the following quadratic program
$$\min_x x^TAx \qquad \text{s.t} \quad Ax \in [a,b]^m$$
where matrix $$A$$ is positive semidefinite, and is similar both the objective function and in the constraint. I would like to solve this problem for large-scale input matrix $$A$$ and am looking for a swift solution.
Is t... | 2019-10-17T00:10:55 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://math.stackexchange.com/questions/1550730/minimization-using-singular-value/1550768 | # Minimization using Singular value
Let $A$ be a $p\times q$ matrix, with rank $q$. Show that the vector $x$ that minimizes $\|Ax\|_2$ under the constraint $\|x\|_2 = 1$ is the right singular vector of $A$ corresponding to the smallest singular value.
Let $$A = U \Sigma V^*$$ be the SVD of A. Then, because $U$ is ort... | 2020-01-17T19:20:04 | {"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://testbook.com/question-answer/if-the-output-of-a-voltage-regulator-varies-from-1--5ffe7d44e16c657d560f793d | # If the output of a voltage regulator varies from 15 to 14.7 V between the minimum and maximum load current, the load regulation is:
This question was previously asked in
LPSC (ISRO) Technical Assistant (Electronics): Official Paper 2016 (Held On 07 Aug 2016)
View all ISRO Technical Assistant Papers >
1. 0
2. 1%
3. 2... | 2022-01-23T22:31:02 | {"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://mathhelpforum.com/number-theory/22069-composite-number-proof-help-print.html | # Composite number proof help
• Nov 5th 2007, 02:51 PM
katie07
Composite number proof help
Hello, I am having trouble with following proof:
Prove that all integers
2^2^(2n+1) +3 2^2^(4n+1) +7 , n = 1, 2, 3 ...
are composite.
Any help is appreciated , Thanks - Kate :)
• Nov 6th 2007, 03:51 AM
topsquark
Quote:
Orig... | 2016-10-21T20:20:09 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 1, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://ask.sagemath.org/answers/24922/revisions/ | # Revision history [back]
The problem with the .random_element() methods in Sage is that the distribution is usually far from being uniform. In some cases, it is very hard to sample according to a particular distribution (even theoretically).
In this case the distribution is indeed concentrated to the integers, as it... | 2021-05-09T08:37:56 | {"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": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://gateoverflow.in/86531/test-by-bikram-theory-of-computation-test-1-question-7 | 155 views
How many states are there in the minimal DFA that accept the following language?
$L= \{x \mid x$ is a binary string with number of $0$'s divisible by $2$ and number of $1$'s divisible by $3 \}$
1. $6$
2. $5$
3. $3$
4. $2$
1 comment
While checking the divisibility of a number by 2, the possible cases are:... | 2023-02-05T10:07:39 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 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/36955/two-questions-related-to-matrices | # Two questions related to matrices
1) Consider the n x n matrix A=((aij)) with aij=1 for i < j and aij=0 for i≥j.
Let V = {f(A): f is a polynomial with real coefficients}. Note that V is a vector space with usual operations. Find the dimension of V, when (a) n=3, and (b) n=4.
2) Suppose A is an n x n matrix such th... | 2015-05-24T03:49:42 | {"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... |
https://math.paperswithcode.com/paper/homotopy-properties-of-smooth-functions-on | Homotopy properties of smooth functions on the M\"obius band
11 Jan 2019 Kuznietsova Iryna Maksymenko Sergiy
Let $B$ be a M\"obius band and $f:B \to \mathbb{R}$ be a Morse map taking a constant value on $\partial B$, and $\mathcal{S}(f,\partial B)$ be the group of diffeomorphisms $h$ of $B$ fixed on $\partial B$ and ... | 2021-04-13T01:40:10 | {"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://math.stackexchange.com/questions/2394240/iterated-expectation-question/2394277 | Question
The number of workers in a fund equals the number of firms which participate in a pension scheme multiplied with number of workers per firm (one thousand for each firm). Currently there are $5$ firms. In every decade, a firm can go bankrupt ($x=0$), stay operating ($x=1$) or start new firms ($x=2,3,4,\ldots$)... | 2019-10-22T13:41:01 | {"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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://leetcode.ca/2017-08-12-621-Task-Scheduler/ | Formatted question description: https://leetcode.ca/all/621.html
Medium
## Description
Given a char array representing tasks CPU need to do. It contains capital letters A to Z where different letters represent different tasks. Tasks could be done without original order. Each task could be done in one interval. For e... | 2022-12-02T13:25:57 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://www.newsgram.com/on-the-occassion-of-pi-day-a-history-of-pi/ | # On the Occasion of Pi Day, a history of ‘Pi’
3
84
Xiaojing Ye, Georgia State University The number represented by pi (π) is used in calculations whenever something round (or nearly so) is involved, such as for circles, spheres, cylinders, cones and ellipses. Its value is necessary to compute many important quantiti... | 2017-09-21T23:04:38 | {"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.physicsforums.com/threads/finding-the-first-40-positive-odd-integers.875829/ | # Finding the first 40 positive odd integers
I have the following problem: What is the sum of the first 40 positive odd integers?
I look at the solution, and it says that "The sum of the first 40 positive odd integers is ##1 + 3 + 5 + \dotsm + 77 + 79##. And then it goes on with the solution.
My question is, how do ... | 2021-04-23T04:55:57 | {"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://rstudio-pubs-static.s3.amazonaws.com/115850_cee3fc32511f49458ed13c8c959244b6.html | We load the mosaic package to simulate coin flips using a vector coin.
library(mosaic)
coin <- c("heads", "tails")
Computers can’t actually generate pure random numbers. Rather, they generate pseudorandom numbers: they are statistically indistinguishable from true randomness but are generated by an entirely determini... | 2019-04-24T22:56:05 | {"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://mathoverflow.net/questions/232898/contact-distributions-on-g-2-p-type-cartan-geometries-in-dimension-5/233466 | # Contact distributions on $(G_2,P)$-type Cartan geometries in dimension 5
Up to topology, the 5D homogeneous space $$G_2/P$$ of the (real form of the) 14D exceptional Lie group $G_2$ is the 5D jet space $$M:=J^1(2,1)=\{(x,y,u,p,q)\}$$ of scalar functions in two independent variables.
WHY? Because $G_2/P=S^2\times S^... | 2019-12-12T19:41:20 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://paperswithcode.com/paper/spatio-temporal-deep-learning-based | # Spatio-Temporal Deep Learning-Based Undersampling Artefact Reduction for 2D Radial Cine MRI with Limited Data
In this work we reduce undersampling artefacts in two-dimensional ($2D$) golden-angle radial cine cardiac MRI by applying a modified version of the U-net. We train the network on $2D$ spatio-temporal slices ... | 2023-03-22T02:20:40 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.itl.nist.gov/div898/software/dataplot/refman1/auxillar/assoplot.htm | Dataplot Vol 1 Vol 2
# ASSOCIATION PLOT
Name:
ASSOCIATION PLOT (LET)
Type:
Graphics Command
Purpose:
Generate an association plot for a two-way contingency table.
Description:
The chi-square test of independence for a two-way contingency table is based on the following test statistic:
$$\sum_{i=1}^{r}{\sum_{j=1}^{c}... | 2021-05-07T09:48:28 | {"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": 1, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://crypto.stackexchange.com/questions/24992/inserting-a-backdoor-into-a-cryptographic-hash-function | # Inserting a backdoor into a cryptographic hash function
I'm curious as to how a backdoor can be built into a hash function. What might it take the form of? What's probability of getting one that can be backdoored in a way that can actually undermine its security? Could this backdoor be asymmetric?
• Every backdoor ... | 2021-10-20T23:29:27 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.physicsforums.com/threads/square-root.532220/ | # Square Root
1. Sep 20, 2011
### glebovg
The problem statement, all variables and given/known data
If x > 0, then there exists a unique y > 0 such that y2 = x.
The attempt at a solution
Proof. Let A = {y ∈ Q : y2 < x}. A is bounded above by x, so lub(A) = η exists.
Suppose η2 > x, where η = lub(A).
Consider (η -... | 2017-09-21T05:35:33 | {"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://cms.math.ca/cjm/msc/46B42 | location: Publications → journals
Search results
Search: MSC category 46B42 ( Banach lattices [See also 46A40, 46B40] )
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1. CJM Online first
Almost disjointness preservers We study the stability of disjointness preservers on Banach lattices. In many cases, we prov... | 2016-10-22T01:39:55 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 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/674/what-is-a-cup-product-in-group-cohomology-and-how-does-it-relate-to-other-branc/679 | # What is a cup-product in group cohomology, and how does it relate to other branches of mathematics?
I have a few elementary questions about cup-products.
Can one develop them in an axiomatic approach as in group cohomology itself, and give an existence and uniqueness theorem that includes an explicitly computable m... | 2015-12-02T07:15:02 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.bakpax.com/assignment-library/assignments/symmetry-domun-nabij | Symmetry
ID: domun-nabij
Illustrative Math
Subject: Geometry
Symmetry
Classroom:
Due:
Student Name:
Date Submitted:
Problem 1
For each figure, identify any lines of symmetry the figure has.
1)
2)
3)
Problem 2
In quadrilateral $BADC$, $AB = AD$ and $BC = DC$. The line $AC$ is a line of symmetry for this... | 2020-07-13T07:09:02 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 38, "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.shaalaa.com/question-bank-solutions/find-the-number-of-ways-in-which-5-letters-can-be-posted-in-3-post-boxes-if-any-number-of-letters-can-be-posted-in-a-post-box-concept-of-permutations-permutations-when-repetitions-are-allowed_175271 | Find the number of ways in which 5 letters can be posted in 3 post boxes if any number of letters can be posted in a post box. - Mathematics and Statistics
Sum
Find the number of ways in which 5 letters can be posted in 3 post boxes if any number of letters can be posted in a post box.
Solution
There are 5 letters ... | 2021-02-25T08:19:18 | {"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/Spectrometer | # Spectrometer
In physics, a spectrometer is an apparatus to measure a spectrum. Generally, a spectrum is a graph that shows intensity as a function of wavelength, of frequency, of energy, of momentum, or of mass.
## Optical spectrometer
Optical spectrometers (often simply called "spectrometers"), in particular, sho... | 2016-09-26T07:23:28 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 1, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.plumed.org/doc-v2.3/user-doc/html/_f_r_e_t.html | FRET
This is part of the colvar module
Calculate the FRET efficiency between a pair of atoms. The efficiency is calculated using the Forster relation:
$E=\frac{1}{1+(R/R_0)^6}$
where $$R$$ is the distance and $$R_0$$ is the Forster radius.
By default the distance is computed taking into account periodic boundary c... | 2020-09-21T16:48:41 | {"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": 1, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://zbmath.org/?q=an:0785.35065 | # zbMATH — the first resource for mathematics
Regularity for the wave equation with a critical nonlinearity. (English) Zbl 0785.35065
Consider a nonlinear wave equation with a self-interacting term of the form $\square\varphi+f(\varphi)=0,\;(t,x)\in\mathbb{R}\times\mathbb{R}^ n \tag{1}$ where $$\square=\partial_ t\par... | 2021-10-17T15:41:35 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://brilliant.org/problems/spectrum-of-a-free-particle/ | # Spectrum of a Free Particle
What is the spectrum of the free-particle Hamiltonian (redefined up to a constant)
$\hat{H} = - \frac{d^2}{dx^2}\:?$
× | 2017-07-21T21:00:58 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.semanticscholar.org/paper/A-star-in-a-15.2-year-orbit-around-the-supermassive-Sch%C3%B6del-Ott/5582c42276f499cd73b3da070c9d5c268d8faea2 | # A star in a 15.2-year orbit around the supermassive black hole at the centre of the Milky Way
@article{Schdel2002ASI,
title={A star in a 15.2-year orbit around the supermassive black hole at the centre of the Milky Way},
author={Rainer Sch{\"o}del and Thomas Ott and Reinhard Genzel and Reiner Hofmann and Matthew D. ... | 2022-08-17T08:39:59 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://how-to-pstricks.blogspot.com/2011/11/pspicture-easy-way-to-allocate-space.html | ## Saturday, November 26, 2011
### pspicture--an easy way to allocate space for pstricks elements
pspicture is a latex environment which can make the allocation of space for pstricks elements very easy. To show its utility, now we come to fix the second example in the previous posts.
\documentclass{article}
\usepack... | 2017-09-24T19:09:51 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://math.stackexchange.com/questions/6009/two-question-on-permutation-and-combination | # Two question on Permutation and Combination
1.Find the number of ways in which a mixed double tennis game can be arranged between 10 players consisting of 6 men and 4 women.
My approach : Since,if every pair of selection of men and women gives rise to 4 matches so C(6,2) * C(4,2) * 4.
2.Find the number of ways in ... | 2015-09-02T00:43:28 | {"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... |
https://physics.stackexchange.com/questions/427195/is-it-really-right-to-say-that-we-never-measure-anything-exactly-in-qm | # Is it really right to say that we never measure anything exactly in QM?
In reference to this elaborate answer by @DanielSank, I would like to pose the following question(s) in order to verify my understanding of the subject matter--in particular, that of the nature of uncertainty and measurements in quantum mechanic... | 2022-01-18T17:39:45 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://planetmath.org/node/24863 | # From microlocal to local
Let f be a smooth compactly supported function on the cotangent bundle (phase space) T*(R^n) which is equal to 1 in a neighborhood of a point (x_0, z_0). Assume that its quantization Op(f), defined as the pseudodifferential operator having f as its symbol, satisfies
|Op(f)u| < e
for some u... | 2017-06-26T03:38:42 | {"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://socialcar-project.eu/en/how-would-you-solve-x-in-this-equation-085x200.26920.html | Autumn10
46
# How would you solve x in this equation: 0.85x=200
hantran128243
To solve for x you would divide 200 by 0.85 which would give you 235 5/7 (two hundred thirty seven and five seventeenths).
lyssie11234
$0.85x=200\ \ \ \ /:0.85\\\\x=\frac{200}{0.85}\\\\x=\frac{20000}{85}\\\\x=\frac{4000}{17}\\\\x=235\fra... | 2022-11-26T18:19:51 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathoverflow.net/questions/57611/derivative-of-sum-over-variable-of-derivative?sort=oldest | # Derivative of Sum over Variable of derivative
I feel stupid for having to ask this, but does anybody have any idea how to handle $$\frac{d}{x}\sum_{n=k}^{g(x)}f(n,x)?$$ Example: $$\frac{d}{dx}\sum_{n=6}^{i^2+2i} \frac{1}{\ln{(i^2)}-\ln{\ln n}}.$$ If we were able to separate the summand into two functions, one with o... | 2016-05-31T08:06:03 | {"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.aimsciences.org/article/doi/10.3934/mcrf.2021033 | # American Institute of Mathematical Sciences
June 2022, 12(2): 531-566. doi: 10.3934/mcrf.2021033
## Optimal investment and reinsurance of insurers with lognormal stochastic factor model
1 Hitotsubashi University, Naka, Kunitachi, Tokyo 186-8601, Japan 2 National Central University, Taoyuan City 32001, Taiwan
* ... | 2022-06-25T02:38:00 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.nature.com/articles/s41467-019-12658-9?error=cookies_not_supported&code=0a10b47d-7796-447b-b4b6-d23fc6836363 | # Consciousness-specific dynamic interactions of brain integration and functional diversity
## Abstract
Prominent theories of consciousness emphasise different aspects of neurobiology, such as the integration and diversity of information processing within the brain. Here, we combine graph theory and dynamic functiona... | 2019-11-15T22:54:19 | {"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": 2, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://math.stackexchange.com/questions/2422876/if-the-partial-sums-s-n-of-sum-a-n-are-bounded-show-that-the-series-sum | # If the partial sums $s_n$of $\sum a_n$ are bounded, show that the series $\sum \frac{a_n}{n}$ converges to $\sum \frac{s_n}{n (n+1)}$
My try: $\left(\frac{1}{n}\right)_{n=1}^\infty$is decreasing and $\lim_{n\to\infty} \frac{1}{n}=0$ with $\sum a_n$is bounded so by Dirichlet's Test $\sum \frac{a_n}{n}$ is convergent.... | 2019-06-26T00:27:18 | {"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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://ask.sagemath.org/questions/44747/revisions/ | Revision history [back]
Obtaining all simply laced graphs with SAGE for GAP
Hi, I work with GAP and have not much experience with SAGE. I wonder whether there is an easy way to obtain a program with SAGE that gives as output a list of all directed simply laced acyclic connected graphs on n points up to equivalence th... | 2019-10-15T19:41:25 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.physicsforums.com/threads/unit-vector-conversion.107192/ | # Unit vector conversion
at point T(2,3,-4) in rectangular coordinate system, how would I express the Z unit vector in the spherical system and the R unit vector in the rectangular system? I know T in spherical coordinates is (5.385,-42 degrees,56.3 degrees) but i have no idea how i would express a unit vector in a di... | 2021-08-02T16:45:56 | {"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://en.wikiversity.org/wiki/Nonlinear_finite_elements/Total_Lagrangian_approach | # Nonlinear finite elements/Total Lagrangian approach
## Total Lagrangian Approach
In the total Lagrangian approach, the discrete equations are formulated with respect to the reference configuration. The independent variables are $X$ and $t$. The dependent variable is the displacement $u(X,t)$.
#### Total Lagrangian... | 2013-05-26T02:06:54 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 101, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/m... |
http://physics.stackexchange.com/tags/quantum-electrodynamics/hot?filter=month | # Tag Info
20
It is a standard exercise in quantum electrodynamics to find the angular dependence of the differential cross section. Which more or less means how probable it is for the photons to scatter at a certain angle, given the energy of the incident particles. So assuming the spins of the electron-positron pai... | 2015-04-25T02:05:32 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://checkmyworking.com/2012/02/newcastle-mathsjam-february-2012-recap/ | February’s MathsJam was loads of fun! We had a record attendance of 14 cheery people who just about managed to fit around the biggest table in the Charles Grey.
After last month’s puzzlocalypse, which left me for over a week unable to count the toes on my feet, I wanted to have a nice relaxed evening.
Matthew Taylor ... | 2021-02-25T10:24:42 | {"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... |
https://www.gradesaver.com/textbooks/math/trigonometry/CLONE-68cac39a-c5ec-4c26-8565-a44738e90952/chapter-4-graphs-of-the-circular-functions-section-4-2-translations-of-the-graphs-of-the-sine-and-cosine-functions-4-2-exercises-page-162/38 | ## Trigonometry (11th Edition) Clone
RECALL: The graph of $y=\sin{(x-d)}$ involves a horizontal shift of the parent function $y=\sin{x}$. The shift is $d$ units to the right when $d \gt 0$ and $|d|$ units to the left when $d\lt0$. The given function has $d=\frac{\pi}{4}$, which is positive. Thus, the given function in... | 2021-04-14T21:27:51 | {"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://docs.upfi.network/products/gov/block-rebase | Upfi
Search…
Block rebase
# How (re)Based is xUP ?
Decentralized Reserve Currencies that exist today take two approaches to rebasing, they follow OlympusDAO with an 8 hour rebase period or pick an arbitrary amount of time between rebases to appear novel. We looks to a new direction.
Gov taking is a fundamentally new ... | 2022-08-09T20:50:43 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 1, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.physicsforums.com/threads/help-on-dielectric-charge-force-problem.69257/ | # Help on dielectric-charge force problem
1. Mar 30, 2005
### teastu
Can anyone help with this-a charge 10 microcoul. is at 10 cm from a large dielectric block of susceptibility 10, find force on charge.
2. Mar 30, 2005
### Andrew Mason
I think this is how to approach it:
1. Use Gauss' law to find the field of q... | 2017-09-21T07:12:41 | {"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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://stats.stackexchange.com/questions/147733/equation-of-a-fitted-smooth-spline-and-its-analytical-derivative?noredirect=1 | # Equation of a fitted smooth spline and its analytical derivative [duplicate]
I need to fit a spline function to a data set. I tried with bs, ns and smooth.spline. In my case the curve obtained by smooth.spline follows the trend in data better than with the bs and ns.
However, I do not know how to
1. obtain the equ... | 2020-07-15T02:27:43 | {"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": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://clay6.com/qa/44554/urea-forms-an-ideal-solution-in-water-determine-the-vapour-pressure-of-an-a | Want to ask us a question? Click here
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# Urea forms an ideal solution in water. Determine the vapour pressure of an aqueous solution containing 10% by mass of urea at 40$^{\large\circ}$C (Vapour pressure of water at 40$^{\large\circ}$C = 55.3 mm Hg)
Can you answer this question?
## 1 Answ... | 2016-10-25T13:58:45 | {"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... |
http://gmatclub.com/forum/how-many-distinct-integers-are-factors-of-147038.html | Find all School-related info fast with the new School-Specific MBA Forum
It is currently 18 Apr 2015, 19:09
### GMAT Club Daily Prep
#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
C... | 2015-04-19T03:09:18 | {"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": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://socratic.org/questions/how-do-you-find-d-2y-dx-2-for-5x-2-5y-2-4 | # How do you find (d^2y)/(dx^2) for 5x^2=5y^2+4?
Nov 11, 2016
${d}^{2 y} / \left({\mathrm{dx}}^{2}\right) = - \frac{4}{5 {y}^{3}}$
#### Explanation:
The equation does not express $y$ explicitly in terms of $x$ as in $y = f \left(x\right)$, instead we have $g \left(y\right) = f \left(x\right)$, so when we differenti... | 2021-08-04T02:43:07 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 25, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://www.hackmath.net/en/math-problem/11171 | # Aunt Rose
Aunt Rose gave $2500 to Mani and Cindy. Mani received$500 more than Cindy. How mich did Cindy received?
C = 1000
### Step-by-step explanation:
We will be pleased if You send us any improvements to this math problem. Thank you!
Tips to related online calculators
Do you have a linear equation or system ... | 2021-04-13T00:17:59 | {"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://haslab.uminho.pt/mjf/publications | ## Publications
Almeida JB, Frade MJ, Pinto JS, Sousa SM. 2011. AbstractWebsite
The use of mathematical methods in the development of software is essential when reliable systems are sought; in particular they are now strongly recommended by the official norms adopted in the production of critical software. Program... | 2019-05-25T05:09:09 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://braungardt.trialectics.com/mathematics/number-theory/prime-number-theorem/?shared=email&msg=fail | # Prime Number Theorem
The Prime Number Theorem (PNT) describes the distribution of prime numbers. Euclid could prove that there is an infinite number of primes, but their location can only be predicted by statistical means, as an approximation. As ordinary numbers get larger and larger, we find fewer and fewer prim... | 2019-06-15T23:34:50 | {"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://nbviewer.jupyter.org/github/anetasie/SherpaNotebooks/blob/master/Templates.ipynb | ## Simple Templates Fitting of a Quasar SED in Sherpa¶
Sherpa can use the template models and combined them with the other models. Here we show a simple template fitting to the SED of a quasar. A set of accretion disk spectral models with the standard parameters (mass, accretion rate, inclination anlge) has been store... | 2017-09-19T11:51:20 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://variancejournal.org/article/29684 | Guo, Qiheng, Daniel Bauer, and George H. Zanjani. 2021. “Capital Allocation Techniques: Review and Comparison.” Variance 14 (2).
• Figure 1. Overview of capital allocation methods
• Table 1. Implementation of allocation methods
• Table 2. Conventional allocation results, heterogeneous Bernoulli case
• Figure 2. Compari... | 2023-02-03T00:46:48 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "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/185351/axioms-of-set-theory-and-logic | # Axioms of set theory and logic
Zermelo–Fraenkel set theory is the most common foundation of mathematics with eight axioms and axiom of choice (ZFC):
http://plato.stanford.edu/entries/set-theory/ZF.html
But one can see that the statement of ZFC depends on first-order logic symbols and definitions, for example $=, \... | 2015-08-03T05:05:17 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://codereview.stackexchange.com/questions/224942/bilinear-image-interpolation | # Bilinear image interpolation
I have written a bilinear interpolant, which is working moderately well except that is painfuly slow. How can rewrite the code to make it faster? Using opencv directly isn't a valid answer.
import numpy as np
import numpy.linalg as la
import matplotlib
import matplotlib.pyplot as plt
fr... | 2022-06-28T03:43:22 | {"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://plainmath.net/3022/determine-l-1-left-frac-s-4-e-3s-s-2-4s-plus-5-right | # Determine L^{-1}left[frac{(s-4)e^{-3s}}{s^2-4s+5}right]
Question
Laplace transform
Determine $$L^{-1}\left[\frac{(s-4)e^{-3s}}{s^2-4s+5}\right]$$
2021-03-19
Concept used:
The inverse laplace transform rule.
If $$L^{-1}\left\{F(s)\right\}=f(t)$$ then
1. $$L^{-1}\left\{e^{-as}F(s)\right\}=H(t-a)f(t-a)$$, Here, H(t) i... | 2021-06-21T10:00:33 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://www.transtutors.com/questions/tts-perpetuity-140752.htm | # Perpetuity
What is the present value of a perpetuity of $100 per year if appropriate discount rate is 5% with the first payment 5 years from now? If discount rate is increased to 15% what is the present value of the perpetuity? There needs to be a cash flow cahrt, identified variables and the equation solved... Rela... | 2016-10-24T12:20:45 | {"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://hackage.haskell.org/package/Agda-2.6.0/docs/Agda-Syntax-Parser-Layout.html | Agda-2.6.0: A dependently typed functional programming language and proof assistant
Agda.Syntax.Parser.Layout
Description
This module contains the lex actions that handle the layout rules. The way it works is that the Parser monad keeps track of a stack of LayoutContexts specifying the indentation of the layout bloc... | 2021-06-19T04:31:32 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.jobilize.com/course/section/exercise-discrete-time-circular-convolution-and-the-dtfs-by-openstax?qcr=www.quizover.com | # 7.4 Discrete time circular convolution and the dtfs
Page 1 / 1
This module describes the circular convolution algorithm and an alternative algorithm
## Introduction
This module relates circular convolution of periodic signals in one domain to multiplication in the other domain.
You should be familiar with Discre... | 2020-11-28T02:16:26 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 91, "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.physicsforums.com/threads/algebra-again.91536/ | # Algebra again
can some 1 give me a hand with this? thanks
$$\frac{150}{v+20}+\frac{150}{v-5}=3.5$$
1. make the denominator the same.
2. cross multiply the equation to get rid of the fraction form.
i get the -65 n 80 which i think is right so thanks leong
80 works, -65 doesnt
it came down to:
$$3.5v^2+52.5v-650$$... | 2021-08-01T04:09:48 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://math.stackexchange.com/questions/7583/an-identity-concerning-the-riemann-zeta-function | # An Identity Concerning the Riemann Zeta Function
Let $\zeta$ be the Riemann- Zeta function. For any integer, $n \geq 2$, how to prove $$\zeta(2) \zeta(2n-2) + \zeta(4)\zeta(2n-4) + \cdots + \zeta(2n-2)\zeta(2) = \Bigl(n + \frac{1}{2}\Bigr)\zeta(2n)$$
• It would help a great deal to change all your zetas to Bernoull... | 2019-08-24T03:33:47 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://zims-en.kiwix.campusafrica.gos.orange.com/wikipedia_en_all_nopic/A/Fracture_mechanics | # Fracture mechanics
Fracture mechanics is the field of mechanics concerned with the study of the propagation of cracks in materials. It uses methods of analytical solid mechanics to calculate the driving force on a crack and those of experimental solid mechanics to characterize the material's resistance to fracture.
... | 2021-01-25T03:10:46 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 179, "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://proofwiki.org/wiki/Cauchy_Sequence_is_Bounded/Normed_Division_Ring/Proof_1 | # Cauchy Sequence is Bounded/Normed Division Ring/Proof 1
## Theorem
Let $\struct {R, \norm {\,\cdot\,}}$ be a normed division ring.
Every Cauchy sequence in $R$ is bounded.
## Proof
Let $\sequence {x_n}$ be a Cauchy sequence in $R$ then:
$\forall \epsilon \in \R_{\gt 0}: \exists N \in \N : \forall n, m \ge N: \n... | 2019-05-20T17:39:15 | {"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": 2, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://brilliant.org/discussions/thread/an-algebraists-view-generalizing-vietas-formula/ | # An Algebraist's View: Generalizing Vieta's Formula
It turns out that Vieta's formula applies to any algebraically closed field. Call a field $$F$$ algebraically closed if(f) every polynomial in $$F[x]$$ splits over $$F$$.
Theorem: $$\mathbb{C}$$ is algebraically closed.
Proof: It suffices to show that there is not... | 2018-04-27T06:56:51 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.nature.com/articles/s41598-022-21347-5?error=cookies_not_supported&code=afac2791-c6b7-45f2-8f46-49d4341ec72b | ## Introduction
When thousands of individual insects self-assemble into one coherent group, the resulting superorganism can perform functions that individuals cannot. Prominent examples include fire ant rafts and towers keeping a colony afloat during a flood and helping them get to dry land1,2, army ant bridges shorte... | 2023-01-28T10:39:35 | {"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": 2, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.toktol.com/notes/context/2887/physics/gravitational-field-strength/gravitational-field-strength-definition | Use adaptive quiz-based learning to study this topic faster and more effectively.
# Gravitational field strength definition
The gravitational field strength ($g$) is the gravitational force per unit mass.
$g$ has units of $\text{N/kg}.$
At the surface of the Earth the gravitational field strength is roughly constan... | 2017-09-20T22:02:45 | {"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://codeforces.com/problemset/problem/1404/D | D. Game of Pairs
time limit per test
4 seconds
memory limit per test
256 megabytes
input
standard input
output
standard output
This is an interactive problem.
Consider a fixed positive integer $n$. Two players, First and Second play a game as follows:
1. First considers the $2n$ numbers $1, 2, \dots, 2n$, and partit... | 2021-04-21T05:48:21 | {"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": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://math.stackexchange.com/questions/206521/counting-20102-tuples/206535 | # Counting $2010^2$-tuples
Here's a problem i invented myself, but i'm not sure about my solution. I'll show it later, so people can enjoy trying to find one:
Consider the function $f:\mathbb{R}^2\to\{1,2,...,2012\}$ that satisfies the following rule: If $a<b<c$, then $f(a,c)=f(b,c)=f(a,b)$ and $f(b,a)=f(c,a)=f(c,b)$... | 2014-12-18T19:38:48 | {"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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://math.stackexchange.com/questions/243508/there-are-n-homomorphisms-from-the-group-z-nz-to-the-additive-group-of-ratio | # There are $n$ homomorphisms from the group $Z/nZ$ to the additive group of rationals $Q$
There are $n$ homomorphisms from the group $Z/nZ$ to the additive group of rationals $Q$.
how can i find that the above statement is true/false
-
Play around with small $n$. Either you'll find a counterexample or you'll (hopef... | 2014-09-19T00:17:37 | {"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://www.nrich.maths.org/873 | ### DOTS Division
Take any pair of two digit numbers x=ab and y=cd where, without loss of generality, ab > cd . Form two 4 digit numbers r=abcd and s=cdab and calculate: {r^2 - s^2} /{x^2 - y^2}.
### Novemberish
a) A four digit number (in base 10) aabb is a perfect square. Discuss ways of systematically finding this... | 2022-10-03T11:54:06 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://let-epsilon-be-positive.com/2020/08/06/vandermonde-matrix/ | # Vandermonde matrix
In this post, we will compute a classical determinant called the Vandermonde determinant. Though the computation of this determinant looks intractable at first, there turns out to be a beautiful formula for it, with a very neat proof. Somewhat surprisingly, the matrices involved and this result ar... | 2022-05-16T04:47:48 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 79, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://mathoverflow.net/questions/161169/infinite-tensor-product-of-states | # Infinite tensor product of states
Tensor products of finite number of different objects are always well described in the literature. However, the situation of infinite tensor products seems to be much tougher. Even in the simplest case, the infinite tensor product of Hilbert spaces, we have to be patient to find a g... | 2019-06-24T18:31:37 | {"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://math.stackexchange.com/questions/1059099/question-about-bijective-functions-and-homeomorphism/1059101 | # Question about bijective functions and homeomorphism
Is it true that "If two metric spaces each of which is the image of the other under a bijective continuous function, then the two metric spaces are homeomorphic."?? Thank you so much!!
• [This example][1] from a question I asked at mathoverflow is metrisable. [1]... | 2019-09-15T16:35:15 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://stats.stackexchange.com/questions/249985/spherical-symmetry-a-generalization-of-exchangeability | # Spherical symmetry: a generalization of exchangeability?
In Kingman, J. (1972) On Random Sequences with Spherical Symmetry. Biometrika, 59(2), 492-494., the author states a theorem that, in his words, "has a close resemblance to de Finetti's theorem on exchangeability".
To my best knowledge a sequence of random var... | 2021-09-26T01:25:08 | {"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": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.statsmodels.org/stable/generated/statsmodels.tsa.vector_ar.vecm.VECMResults.stderr_coint.html | # statsmodels.tsa.vector_ar.vecm.VECMResults.stderr_coint¶
VECMResults.stderr_coint
Standard errors of beta and deterministic terms inside the cointegration relation.
Notes
See p. 297 in [1]. Using the rule
$vec(B R) = (B' \otimes I) vec(R)$
for two matrices B and R which are compatible for multiplication. This i... | 2022-08-18T07:33:41 | {"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://gateoverflow.in/373793/nielit-2022-april-scientist-b-section-b-question-45 | 141 views
Consider a hard disk with $16$ recording surfaces $(0-15)$ having $16384$ cylinders $(0-16383)$ and each cylinder contains $64$ sectors $(0-63).$ Data storage capacity in each sector is $512$ bytes. Data are organized cylinder-wise and the addressing format is <cylinder number, surface number, sector number>... | 2022-12-03T16:29:26 | {"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... |
http://self.gutenberg.org/articles/eng/Critical_point_(thermodynamics) | #jsDisabledContent { display:none; } My Account | Register | Help
# Critical point (thermodynamics)
Article Id: WHEBN0001951419
Reproduction Date:
Title: Critical point (thermodynamics) Author: World Heritage Encyclopedia Language: English Subject: Collection: Publisher: World Heritage Encyclopedia Publication Da... | 2021-03-03T09:19:05 | {"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://asmedigitalcollection.asme.org/heattransfer/article-abstract/92/1/159/431538/Heat-Transfer-by-Laminar-Natural-Convection-Within?redirectedFrom=fulltext | Two-dimensional laminar natural convection in air contained in a long horizontal rectangular enclosure with isothermal walls at different temperatures has been investigated using numerical techniques. The time-dependent governing differential equations were solved using a method based on that of Crank and Nicholson. St... | 2019-10-22T23:11:21 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 6, "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/246078/machine-learning-methods-regression-trees-for-longitudinal-panel-count-data | # Machine Learning methods / Regression Trees for Longitudinal/Panel Count Data
I have a data set where the dependent or the response variable is a non-negative and integer variable and exhibits over-dispersion where the variance is greater than the mean. Below is the figure
There exists methods such as Poisson, Nega... | 2019-10-18T04:16:36 | {"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": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://rexdouglass.com/chapters/probability/distribution_normal.html | # Normal Distribution
Instance of: probability distribution
AKA: Normal; Gaussian distribution; Standard normal; bell curve; $$\varphi(x)$$; $$X \sim \mathrm{N}()$$; $$\Phi(x)$$; normal deviate
Distinct from:
English: The normal distribution is a symmetric bell shaped distribution that has several important mathema... | 2023-03-20T22:22:38 | {"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": 1, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://blog.asarkar.org/algorithms-design-analysis/set-4/ | # Problem Set 4
Given an adjacency-list representation of a directed graph, where each vertex maintains an array of its outgoing edges (but *not* its incoming edges), how long does it take, in the worst case, to compute the in-degree of a given vertex? As usual, we use $n$ and $m$ to denote the number of vertices and ... | 2019-01-18T22:06:33 | {"extraction_info": {"found_math": true, "script_math_tex": 73, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://www.rdocumentation.org/packages/matlib/versions/0.9.2/topics/plotEqn3d | # plotEqn3d
0th
Percentile
##### Plot Linear Equations in 3D
Shows what matrices $A, b$ look like as the system of linear equations, $A x = b$ with three unknowns, x1, x2, and x3, by plotting a plane for each equation.
##### Usage
plotEqn3d(A, b, vars, xlim = c(-2, 2), ylim = c(-2, 2), zlim,
col = 2:(nrow(A) + 1),... | 2020-02-18T18:19:18 | {"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": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://math.stackexchange.com/questions/488935/determining-if-ode-is-linear | # Determining if ODE is linear
Determine whether the given equation is linear in the dependent variable $v$ and the dependent variable $u$:
$$u dv+(v+uv-ue^u)du=0$$
I'm confused by this because I've never seen $dv$ and $du$ just floating around like this.
I also have no idea how to proceed. Any help is greatly appre... | 2019-12-09T00:03:22 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://rieselprime.de/ziki/Coprime | Two integer numbers are coprime or relatively primes when their greatest common divisor is 1 ($\displaystyle{ \gcd{(x,y)} = 1 }$). This does not mean that any of these numbers is prime.
Two random numbers are coprime with a probability over 60% (the exact number is $\displaystyle{ 6/\pi^2 }$).
When two integers $\displ... | 2021-05-16T09:38:35 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://deepai.org/publication/o-2k-k-approximation-algorithm-for-directed-steiner-tree-a-tight-quasi-polynomial-time-algorithm | DeepAI
# O(^2k/k)-Approximation Algorithm for Directed Steiner Tree: A Tight Quasi-Polynomial-Time Algorithm
In the Directed Steiner Tree (DST) problem we are given an n-vertex directed edge-weighted graph, a root r, and a collection of k terminal nodes. Our goal is to find a minimum-cost arborescence that contains a... | 2023-02-01T13:28:26 | {"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://libros.duhnnae.com/2017/aug3/150179517754-Interaction-induced-shift-of-the-cyclotron-resonance-of-graphene-using-infrared-spectroscopy-Condensed-Matter-Mesoscale-and-Nanoscale-Physics.php | # Interaction-induced shift of the cyclotron resonance of graphene using infrared spectroscopy - Condensed Matter > Mesoscale and Nanoscale Physics
Interaction-induced shift of the cyclotron resonance of graphene using infrared spectroscopy - Condensed Matter > Mesoscale and Nanoscale Physics - Descarga este documento... | 2018-05-28T10:09:17 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://civilservicereview.com/2016/01/quadratic-word-problems/ | # Solving Quadratic Word Problems in Algebra
Quadratic Equations are equations of the form ax^2 + bx + c = 0 where $a$, $b$ and $c$ are real numbers and $a \neq 0$. Depending on the form of the equation, you can solve for $x$ by extracting the quare root, factoring, or using the quadratic formula.This type of equation... | 2017-03-23T22:05:49 | {"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": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 5, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://physics.stackexchange.com/questions/195218/are-we-all-moving-at-c?noredirect=1 | # Are we all moving at $c$? [duplicate]
Is it true to say that all matter in the universe is travelling with velocity c through spacetime, but that for baryonic matter most of that velocity is through the time dimensions rather than the XYZ axes?
$$\left(\beta mc^2 + c(\alpha_1 p_1 + \alpha_2 p_2 + \alpha_3 p_3)\righ... | 2020-10-26T07:29:19 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://www.physicsforums.com/showpost.php?p=3773100&postcount=1 | View Single Post
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Lagrangian problem (rigid body+particle)
1. The problem statement, all variables and given/known data
A hollow semi-cylinder of negligible thickness, radius a and mass M can rotate without slipping over the horizontal plane z=0, with its axis parallel to the x-axis. On its ... | 2013-05-19T20:44:35 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
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