url string | text string | date timestamp[s] | metadata string |
|---|---|---|---|
https://www.transum.org/Maths/Exercise/Completing_The_Square.asp | # Completing the Square
## Practise this technique for use in solving quadratic equations and analysing graphs.
##### Level 1Level 2Level 3Level 4Exam StyleDescriptionHelpMore Algebra
Write the following expressions in the completed square form.
This is level 1; Expressions with two terms such as $$x^2 + 6x$$.
$$... | 2020-02-27T14:19:46 | {"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": 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/advanced-algebra/46500-linear-equation-problem.html | # Math Help - Linear equation problem
1. ## Linear equation problem
Hello everyone. I just don't get this . This seems very basic but I have problems to find a answer to this. I know augmented matrices and gaussian elimination.
Ok once again Ax = b
Okay I get the augmented matrix form. But how can I do this "backwar... | 2014-07-22T09:38:31 | {"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": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 9, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://mathshistory.st-andrews.ac.uk/Biographies/Sankara/ | # Sankara Narayana
### Quick Info
Born
India
Died
India
Summary
Sankara Narayana was an Indian astronomer and mathematician. He wrote a commentary on the work of Bhaskara I.
### Biography
Sankara Narayana (or Shankaranarayana) was an Indian astronomer and mathematician. He was a disciple of the astronomer and math... | 2021-04-22T02:25:21 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 2, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://socratic.org/questions/how-do-you-use-the-discriminant-to-determine-the-nature-of-the-roots-for-x-2-2x- | # How do you use the discriminant to determine the nature of the roots for x^2 + 2x + 5 = 0?
Jun 19, 2015
As color(red)(Delta = -16(less than zero), this equation has two complex roots.
#### Explanation:
${x}^{2} + 2 x + 5 = 0$
The equation is of the form color(blue)(ax^2+bx+c=0 where:
$a = 1 , b = 2 , c = 5$
The... | 2020-02-19T17:36:58 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 13, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://math.stackexchange.com/questions/136782/calculating-an-explicit-conditional-expectation | # Calculating an explicit conditional expectation
Suppose that $X$ and $Y$ are independent and $X\sim E(1)=\Gamma(1,1)$ and $Y\sim\Gamma(2,1)$. Then I am asked to find $E[X\mid X+Y]$ by using the following result:
Let $(U,V)$ be an $n+m$ dimensional random vector with density $(u,v)\mapsto f(u,v)$ with respect to $\l... | 2015-04-25T08:50:23 | {"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.reference.com/browse/linked+together | Definitions
Linked lists can be implemented in most languages. Languages such as Lisp and Scheme have the data structure built in, along with operations to access the linked list. Procedural or object-oriented languages such as C, C++, and Java typically rely on mutable references to create linked lists.
## History
... | 2013-05-24T19:11:12 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 2, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://socratic.org/questions/how-do-you-find-region-bounded-by-circle-r-3cos-and-the-cardioid-r-1-cos | # How do you find region bounded by circle r = 3cosΘ and the cardioid r = 1 + cosΘ?
Oct 25, 2015
$A = \frac{5 \pi}{4}$
#### Explanation:
Lets find the intersection of the curves in the first quadrant:
$3 \cos \theta = 1 + \cos \theta \implies 2 \cos \theta = 1 \implies \cos \theta = \frac{1}{2} \implies \theta = \... | 2019-01-23T19:40:52 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 10, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://math.stackexchange.com/questions/145035/the-sum-of-power-law-distributed-random-variables | # The sum of power-law-distributed random variables.
Let $X_i$ is power-law-distributed random variable $f(x)=C_0x^{-k}$ where $1<k_i\le3$. What is the exponent $k$ of the variable $$X=\sum_{i=1}^N X_i \ ?$$
My doubt come from the fact that $X$ as a sum of i.i.d has to tend to a $\alpha$-stable distribution. The gene... | 2016-02-10T15:37:26 | {"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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://eprint.iacr.org/2008/040 | ## Cryptology ePrint Archive: Report 2008/040
Efficient and Generalized Pairing Computation on Abelian Varieties
Eunjeong Lee, Hyang-Sook Lee, and Cheol-Min Park
Abstract: In this paper, we propose a new method for constructing a bilinear pairing over (hyper)elliptic curves, which we call the R-ate pairing. This pai... | 2014-07-31T09:28:27 | {"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": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://math.stackexchange.com/questions/519803/what-is-the-definition-of-sum-limits-0-leq-i-leq-m-text-0-leq-j-leq-na-i | # What is the definition of $\sum\limits_{0\leq i\leq m,\text{ }0\leq j\leq n}a_{ij}$
I understand the concept of double summations, at least intuitively, but I'm trying to understand it formally. So, to begin with, I have a question:
Is this double summation equality true by definition:$\sum\limits_{0\leq i\leq m}\s... | 2019-08-17T11:12:58 | {"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://economics.stackexchange.com/questions/22221/utility-maximisation-subject-to-income-and-time-constraints | # Utility Maximisation Subject to Income and Time Constraints
The consumption of economic goods often takes time. Consider, for example:
• Transport services, eg flights, rail journeys;
• Leisure goods, eg watching a film, visiting a park.
I would like to explore models of consumer or household behaviour in which ut... | 2020-09-27T14:02:39 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://socratic.org/questions/how-many-moles-of-h-2-are-in-4-48-10-4-g-of-h-2 | # How many moles of H_2 are in 4.48*10^-4 g of H_2?
Jul 5, 2016
Approx. $2 \times {10}^{-} 4 \cdot m o l$
#### Explanation:
$\text{Moles of dihydrogen}$ $=$ $\text{Mass"/"Molar mass}$
$=$ $\frac{4.48 \times {10}^{-} 4 \cdot g}{2 \times 1.00794 \cdot g \cdot m o {l}^{-} 1}$ $=$ ??mol
Note that this is consistent d... | 2020-02-29T13:47:37 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 8, "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://interactivepython.org/runestone/static/JavaReview/Conditionals/cShortCircuit.html | # Short Circuit Evaluation¶
Both && and || use short circuit evaluation. That means that the second condition isn’t necessarily checked if the result from the first condition is enough to tell if the result is true or false. In a complex conditional with a logical and (&&) both conditions must be true, so if the first... | 2018-11-16T20:15:53 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://gmatclub.com/forum/if-x-y-and-z-are-integers-is-x-even-200349.html | GMAT Changed on April 16th - Read about the latest changes here
It is currently 27 May 2018, 08:37
### 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.
Customized... | 2018-05-27T15:37:33 | {"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... |
https://datascience.stackexchange.com/questions/111296/how-to-calculate-loss-function | # how to calculate loss function?
i hope you are doing well , i want to ask a question regarding loss function in a neural network
i know that the loss function is calculated for each data point in the training set , and then the backpropagation is done depending on if we are using batch gradient descent (backpropaga... | 2022-08-19T11:13:53 | {"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://bowen.pims.math.ca/tags/topdyn | # TopDyn
## Problem 150
Is there an expansive homeo of $\mathbb S^2$?
## Problem 149
(Handel) If there exists a cross section for for all minimal sets of a flow, then there exist a global cross-section.
## Problem 130
Which surfaces and which homotopy classes of homeos admit expansive homeos? distal homeos?
## P... | 2020-10-27T06:56:32 | {"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": 2, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://mathspace.co/textbooks/syllabuses/Syllabus-406/topics/Topic-7198/subtopics/Subtopic-96177/?activeTab=interactive | # Finding the unknown (4 operations) II
## Interactive practice questions
We want to work out the value of $d$d that makes the following equation true:
$8+2\times d=16$8+2×d=16
a
First let's complete a simpler expression. Fill in the blank in the equation below.
$8+\editable{}=16$8+=16
b
So $2\times d=8$2×d=8. ... | 2021-12-07T16:35:31 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://mathsolver.microsoft.com/en/solve-problem/y%20%3D%20h%20%5E%20%7B%20-%201%20%7D%20(%20x%20) | Solve for h
Solve for x
Graph
## Share
h^{-1}x=y
Swap sides so that all variable terms are on the left hand side.
\frac{1}{h}x=y
Reorder the terms.
1x=yh
Variable h cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by h.
yh=1x
Swap sides so that all variable terms are on ... | 2021-12-06T20:23:53 | {"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://zbmath.org/?q=an:1182.16030 | Kimmerle conjecture for the Held and O’Nan sporadic simple groups.(English)Zbl 1182.16030
A long standing Zassenhaus conjecture says that every normalized torsion unit of the integral group ring $$\mathbb{Z} G$$ of a finite group $$G$$ is conjugated, within the rational group algebra $$\mathbb{Q} G$$, to an element in... | 2022-05-21T02:46:39 | {"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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://sms.niser.ac.in/news/seminar%26colloquium?page=3 | # Past Events
Date/Time:
Thursday, June 15, 2017 - 11:30 to 12:30
Venue: SMS Seminar Hall
Title: Frames of twisted shift-invariant spaces in $L^{2}(\mathbb{R}^{2n})$ and shift-invariant spaces on the Heisenberg group
Abstract: A well known result on translates of a function $\varphi$ in $L^{2}(\mathbb{R})$ states th... | 2017-11-18T17:38:18 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.ias.ac.in/listing/bibliography/jess/VENKATESHWARLU_MAMILLA | • VENKATESHWARLU MAMILLA
Articles written in Journal of Earth System Science
• Paleointensity of the Earth's magnetic field at ${\sim}$117 Ma determined from the Rajmahal and Sylhet Trap Basalts, India
We present here the paleointensity results of basalt samples from Rajmahal (25.10$^{\circ}$N; 87.40$^{\circ}$E) and... | 2021-11-30T00:27:21 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://socratic.org/questions/how-do-you-use-pemdas-to-simplify-9-7-3-4-3 | How do you use PEMDAS to simplify (9-7)^3 - (4+3)?
Jan 18, 2016
The answer to that equation is 1
Explanation:
PEMDAS means answering first what's inside the parenthesis then use the exponent then proceed multiplication, division, addition and subtraction accordingly.
For this,
${\left(9 - 7\right)}^{3} - \left(4 +... | 2019-09-17T20:56:41 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 4, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.physicsforums.com/threads/find-the-expectation-value-of-the-linear-momentum.276413/ | # Find the expectation value of the linear momentum
1. Dec 2, 2008
### s8wardwe
1. The problem statement, all variables and given/known data
For a given wave function Psi(x,t)=Aexp^-(x/a)^2*exp^-iwt*sin(kx) find the expectation value of the linear momentum.
2. Relevant equations
<p>=integral(-inf,inf) psi* p^ psi d... | 2016-10-28T21:39:27 | {"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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://math453spring2009.wikidot.com/lecture-1 | Lecture 1 - Introducing Divisibility
# Summary
Today we continued our discussion of divisibility and its basic properties. We saw some examples of how to put these properties into practice to prove exciting new results which might otherwise be quite difficult. Today's lecture culminated in the statement and proof of ... | 2018-08-21T00:37:56 | {"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": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://pcs.org.au/problem/lunchchoice | Lunch Choice
Points: 1
Time limit: 1.0s
Memory limit: 256M
Author:
Problem type
Allowed languages
C, C++, Java, Python
While furiously programming the donation site for the Cameron Hall 2020 Charity UnVigil (https://charityunvigil.online/) James and Felix decide to have a lunch break. Being extremely hard workers th... | 2021-07-25T08:57:59 | {"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": 1, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://www.physicsforums.com/showthread.php?t=344551 | # Work-Energy Theorum: Spring potential energy vs Kinetic Energy
by Senjai
Tags: energy, kinetic, potential, spring, theorum, workenergy
P: 104 1. The problem statement, all variables and given/known data A 1350-kg car rolling on a horizontal surface has a speed v = 40 km/h when it strikes a horizontal coiled spring ... | 2013-12-11T23:51:28 | {"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": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://mathemerize.com/prove-that-in-any-triangle-the-sum-of-the-squares-of-any-two-sides-is-equal-to-twice-the-square-of-half-of-the-third-side-together-with-twice-the-square-of-the-median-which-bisects-the-third-side/ | # Prove that in any triangle, the sum of the squares of any two sides is equal to twice the square of half of the third side together with twice the square of the median which bisects the third side.
## Solution :
Given : ABC is a triangle and AD is the median.
To Prove :
(i) $${AB}^2$$ + $${AC}^2$$ = 2[$${AD}^2$$... | 2022-08-17T22:18:21 | {"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.physicsforums.com/threads/vertex-corrections-1-loop-order-yukawa-theory.782261/ | Vertex corrections 1-loop order Yukawa theory
1. Nov 16, 2014
WannabeNewton
Consider the Yukawa theory $\mathcal{L}_0 = \bar{\psi}_0(i\not \partial - m_0 - g\phi_0)\psi_0 + \frac{1}{2}(\partial \phi_0)^2 - \frac{1}{2}M_0^2 \phi_0^2 - \frac{1}{4!}\lambda_0 \phi_0^4$ with cutoff $\Lambda_0$; a lower cutoff $\Lambda < ... | 2018-01-18T06:08:36 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://math.stackexchange.com/questions/625862/provided-as-distinct-eigenvalues-show-that-ax-u-has-no-solution-strang | # Provided $A$'s distinct eigenvalues, show that $Ax = u$ has no solution. [Strang P297 6.1.32]
My question differs from this question. Source for the following is on P3 hereof:
Suppose $A$ has eigenvalues $0,3,5$ with linearly independent eigenvectors $u,v,w$.
(a) Give a basis for $\operatorname{null}(A)$ and a basi... | 2020-02-29T10:46:26 | {"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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://www.sontaglab.org/PUBDIR/Keyword/NONLINEAR-SYSTEMS.html | BACK TO INDEX
Articles in journal or book chapters
1. M. A. Al-Radhawi, D. Del Vecchio, and E. D. Sontag. Multi-modality in gene regulatory networks with slow gene binding. PLoS Computational Biology, 2019. Note: To appear. Preprint in arXiv:1705.02330, May 2017 rev Nov 2017. [PDF] Keyword(s): multistability, gene ne... | 2019-01-21T12:55:59 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.physicsforums.com/threads/first-order-differential-equations.160565/ | # First Order Differential Equations
1. Mar 13, 2007
### Bucky
1. The problem statement, all variables and given/known data
Solve the following differential equation using seperation of variables
$$(1+x)^2 y' = (1-y)^2 , y(1) = 2$$
2. Relevant equations
3. The attempt at a solution
haven't gotten very far in thi... | 2018-01-17T15:34:57 | {"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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://stats.stackexchange.com/questions/529846/is-it-possible-to-specify-different-quantile-regression-models-for-each-quantile | # Is it possible to specify different quantile regression models for each quantile?
As the title says.
I have never seen it, but I see no point that would prohibit me to do it.
For example, a different set of variables might bear predictive value for the 25th-percentile of the dependent variable than for the 10th-pe... | 2022-08-20T03:21:24 | {"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... |
https://tex.stackexchange.com/questions/475946/creating-a-specific-theorem-style | # Creating a specific theorem style
I was wondering how to create a theorem environment similar to the following example:
Specifically, the environment should resemble the box that contains "Claim -- The function g is linear".
This comes from a document written by Evan Chen, who has his style files uploaded here. I ... | 2019-10-18T15:46:36 | {"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://www.toppr.com/guides/maths-formulas/lcm-formula/ | # LCM Formula
In mathematics computation of the least common multiple and greatest common divisors of two or more numbers. LCM is the smallest integer which is a multiple of two or more numbers. For example, LCM of 4 and 6 is 12, and LCM of 10 and 15 is 30. As with the greatest common divisors, there are many methods... | 2022-08-14T06:26:52 | {"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": 0, "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/entropy-and-thermodynamics.487647/page-3 | # Entropy and thermodynamics.
Pythagorean
Gold Member
Thermodynamic entropy is the logarithm of the number of microstates of the molecules of a system in phase space (momentum, position in 3D) multiplied by the Boltzmann constant. It seems to me that information entropy, dealing with probability starts with a very dif... | 2020-10-30T17:30:15 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://matholympiad.org.bd/forum/viewtopic.php?f=28&t=3962&p=17932 | ## Binary Representation
For discussing Olympiad Level Combinatorics problems
Soumitra Das
Posts: 5
Joined: Mon Apr 03, 2017 1:59 pm
### Binary Representation
Let for any positive integer $n$,$B(n)$ be the number of 1's in it's binary representation.Prove that $$B(nm) \geq \max{B(n),B(m)}$$ ,where $n,m \in N$ .
Rag... | 2020-01-26T02:04:24 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://www.physicsforums.com/showthread.php?p=4173527 | # Showing that Lorentz transformations are the only ones possible
by bob900
Tags: lorentz, showing, transformations
Emeritus
PF Gold
P: 9,355
Quote by TrickyDicky If I understand it correctly this proves that the most general transformations that take straight lines to straight lines are the linear fractional ones. T... | 2014-08-22T13:47:52 | {"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": 2, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://planetmath.org/RiemannCurvatureTensor | # Riemann curvature tensor
Let $\mathcal{X}$ denote the vector space of smooth vector fields on a smooth Riemannian manifold $(M,g)$. Note that $\mathcal{X}$ is actually a $\mathcal{C}^{\infty}(M)$ module because we can multiply a vector field by a function to obtain another vector field. The Riemann curvature tensor ... | 2018-03-19T05:14:52 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 16, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://math.stackexchange.com/questions/98003/derivative-of-a-function-is-odd-prove-the-function-is-even | # Derivative of a function is odd prove the function is even.
$f:\mathbb{R} \rightarrow \mathbb{R}$ is such that $f'(x)$ exists $\forall x.$
And $f'(-x)=-f'(x)$
I would like to show $f(-x)=f(x)$
In other words a function with odd derivative is even.
If I could apply the fundamental theorem of calculus
$\int_{-x}^... | 2016-07-29T10:27:51 | {"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... |
http://discrete.prof.ninja/420/ | April 20th
The ideas
• $$n^r$$ is the number of ways of putting $$r$$ distinct marbles into $$n$$ numbered boxes (as many as you would like per box). (Think: each marble has $$n$$ choices.)
• $$n! = n \cdot (n-1) \cdots 2 \cdot 1$$ is the number of ways of putting $$n$$ distinct marbles in $$n$$ numbered boxes (one p... | 2019-10-22T00:59:29 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 2, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://www.davidketcheson.info/2020/03/19/SIR_Estimating_parameters.html | # Modeling Coronavirus part II -- estimating parameters
Welcome back! In the first post of this series, we learned about the SIR model, which consists of three differential equations describing the rate of change of susceptible (S), infected (I), and recovered (R) populations:
\begin{align*} \frac{dS}{dt} & = -\beta ... | 2020-05-28T12:52:42 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://bayesianthink.blogspot.com/ | ## Tuesday, September 2, 2014
### Maximizing Chances in an Unfair Game
Follow @ProbabilityPuz
Q: You are about to play a game wherein you flip a biased coin. The coin falls heads with probability $$p$$ and tails with $$1 - p$$ where $$p \le \frac{1}{2}$$. You are forced to play by selecting heads so the game is bia... | 2014-11-01T09:20:36 | {"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": 2, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.quizover.com/physics/section/conceptual-questions-microscopes-by-openstax | # 26.4 Microscopes (Page 5/9)
Page 5 / 9
## Take-home experiment: make a lens
Look through a clear glass or plastic bottle and describe what you see. Now fill the bottle with water and describe what you see. Use the water bottle as a lens to produce the image of a bright object and estimate the focal length of the... | 2018-10-17T17:47:23 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 17, "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://profitgenesisreloaded.com/ii1l0aev/scalar-matrix-and-diagonal-matrix-f4046a | # scalar matrix and diagonal matrix
$e_{11}$ $\,=\,$ $e_{22}$ $\,=\,$ $e_{33}$ $\,=\,$ $\cdots$ $\,=\,$ $e_{mm}$ A set of all diagonal matrices (nxn) over R is a field relatively to additive and multiply operations on matrices. diag has four distinct usages: x is a matrix, when it extracts the diagonal. Download PDF's... | 2021-04-11T17:57:55 | {"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": 1, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://mathhelpforum.com/tags/ax2/ | # ax2
1. ### Ax^2+By^2+Cxy=0
Hello, I need to solve the following. Ax^2+By^2+Cxy=0 I suppose I have to make some substitution, but I have no idea how! Thanks for any help Vale
2. ### Suppose that ax+y=b and that ax^2+y^2=b^2. What are the possible value(s) of y?
Options: 1) b * 1+a/1-a 2) -b 3) b * 1-a/1+a 4) (b-b(s... | 2020-02-18T21:39:58 | {"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.askiitians.com/forums/Modern-Physics/when-the-rest-mass-of-photon-become-zero-please-e_157788.htm | # When the rest mass of photon become zero. Please explain this
Manas Shukla
102 Points
6 years ago
Photon has a rest mass of 0.
To understand the above statement we need to know what the term rest mass actually means.
Rest mass is the mass of the particle when measured by an observer who sees the particle still and w... | 2023-03-27T06:31:18 | {"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": 0, "codecogs_latex": 2, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.jiskha.com/archives/2012/12/16 | # Questions Asked onDecember 16, 2012
1. ## physics
the muzzle velocity of a 50.0g shell leaving a 3.00kg rifle is 400 m/s what is the recoil velocity of the rifle
2. ## physics
the initial velocity of a 4 kg box is 11 m/s, due west. after the box slides 4 m horizontally its speed is 1.5 m/s. determine the magnitud... | 2020-08-10T21:12:10 | {"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... |
http://math.stackexchange.com/questions/35276/cellular-maps-induced-by-a-homomorphism | # cellular maps induced by a homomorphism
Consider the following situation: We have a countable discrete group $G$ with a finite index (not necessarily normal) subgroup $H$. It is possible to construct 3 $CW$ complexes and a covering diagram as usual. [I am skipping the details, see for instance Geoghegan's Top. Metho... | 2014-07-24T18:12:31 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.gradesaver.com/textbooks/math/trigonometry/CLONE-68cac39a-c5ec-4c26-8565-a44738e90952/chapter-6-inverse-circular-functions-and-trigonometric-equations-section-6-4-equations-involving-inverse-trigonometric-functions-6-4-exercises-page-286/40 | Trigonometry (11th Edition) Clone
$arccos~x+2~arcsin~\frac{\sqrt{3}}{2} = \frac{-\pi}{3}$ This equation has no solutions.
$arccos~x+2~arcsin~\frac{\sqrt{3}}{2} = \frac{\pi}{3}$ $arccos~x = \frac{\pi}{3}-2~arcsin~\frac{\sqrt{3}}{2}$ $arccos~x = \frac{\pi}{3}-2~(\frac{\pi}{3})$ $arccos~x = -\frac{\pi}{3}$ Since the rang... | 2022-07-02T05:17:09 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://nrich.maths.org/9462 | # Reasoning, Justifying, Convincing and Proof - Lower Secondary
Reasoning, Justifying, Convincing and Proof is part of our Thinking Mathematically collection.
### Summing Consecutive Numbers
##### Stage: 3 Challenge Level:
Many numbers can be expressed as the sum of two or more consecutive integers. For example, 15... | 2015-08-28T17:22:44 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://cms.math.ca/cjm/msc/42C10?fromjnl=cjm&jnl=CJM | location: Publications → journals
Search results
Search: MSC category 42C10 ( Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) )
Expand all Collapse all Results 1 - 4 of 4
1. CJM 2010 (vol 62 pp. 1182)
Yue, Hong
A Fractal Function Related to the John-Nirenberg I... | 2015-05-24T23:34:00 | {"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": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://socratic.org/questions/how-do-you-multiply-3n-2-2n-2-3n-4 | # How do you multiply -3n^2(-2n^2+3n+4)?
Jun 13, 2017
#### Answer:
Use the distributive property.
The multiplied form is $6 {n}^{4} - 9 {n}^{3} - 12 {n}^{2}$
#### Explanation:
The distributive property tells us that:
$\textcolor{red}{a} \cdot \left(b + c\right)$
$\textcolor{red}{a} \cdot b + \textcolor{red}{a} ... | 2019-10-21T21:01:55 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 7, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://aas.org/archives/BAAS/v34n2/aas200/67.htm | AAS 200th meeting, Albuquerque, NM, June 2002
Session 71. Stellar Youth: Tomorrow's Degenerates
Display, Thursday, June 6, 2002, 9:20am-4:00pm, SW Exhibit Hall
## [71.09] Testing Pre-Main-Sequence Stellar Evolution Theory: Discovery and Analysis of a Young, Low-Mass Eclipsing Binary
K.G. Stassun, N. Stroud, R.D. Math... | 2014-12-18T14:42:45 | {"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://zbmath.org/?q=an:1238.30019 | # zbMATH — the first resource for mathematics
##### Examples
Geometry Search for the term Geometry in any field. Queries are case-independent. Funct* Wildcard queries are specified by * (e.g. functions, functorial, etc.). Otherwise the search is exact. "Topological group" Phrases (multi-words) should be set in "strai... | 2014-03-09T00:51:15 | {"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://forum.azimuthproject.org/discussion/1660/statistical-patterns-of-darwinian-evolution | #### Howdy, Stranger!
It looks like you're new here. If you want to get involved, click one of these buttons!
Options
# Statistical patterns of Darwinian evolution
edited January 2016
Matteo Smerlak emailed me notifying me of this paper, which sounds really interesting:
Abstract. In the most general terms, Darwin... | 2017-06-28T07:12:27 | {"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://pballew.blogspot.com/2020/08/on-this-day-in-math-august-2.html | ## Sunday, 2 August 2020
### On This Day in Math - August 2
The whole form of mathematical thinking was created by Euler. It is only with the greatest of difficulty that one is able to follow the writings of any author preceding Euler, because it was not yet known how to let the formulas speak for themselves. This ar... | 2021-06-13T17:41:28 | {"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": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://ask.sagemath.org/question/34485/what-is-the-most-efficient-way-to-look-up-a-face-in-the-face-lattice-of-a-polyhedron/ | # What is the most efficient way to "look up" a face in the face lattice of a polyhedron?
Say I have a polyhedron p with face lattice L = p.face_lattice(). I want to define x as the element of L defined as the convex hull of vertices <0 1 3> of p. What is the most efficient way to define x?
For example, consider
sag... | 2020-10-28T06:15:18 | {"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://testbook.com/question-answer/a-rigid-retaining-wall-of-6-m-height-has-a-saturat--5ee07dd2f60d5d2679c17a4d | # A rigid retaining wall of 6 m height has a saturated backfill of soft clay soil. What is the critical height when the properties of the clay soil are: γsat = 17.56 kN/m3 and cohesion C = 18 kN/m2
Free Practice With Testbook Mock Tests
## Options:
1. 1.1 m
2. 2.1 m
3. 3.1 m
4. 4.1 m
### Correct Answer: Option 4... | 2021-08-02T00:53:55 | {"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": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.nature.com/articles/s41467-018-06555-w?error=cookies_not_supported&code=3f0cf3c9-965f-436f-9228-072f68f13f3f | Article | Open | Published:
Twist angle-dependent conductivities across MoS2/graphene heterojunctions
Abstract
Van der Waals heterostructures stacked from different two-dimensional materials offer a unique platform for addressing many fundamental physics and construction of advanced devices. Twist angle between the ... | 2018-10-22T05:13:14 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 2, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://nrich.maths.org/9691/clue | Framed
Seven small rectangular pictures have one inch wide frames. The frames are removed and the pictures are fitted together like a jigsaw to make a rectangle of length 12 inches. Find the dimensions of the pictures.
Tilted Squares
It's easy to work out the areas of most squares that we meet, but what if they were... | 2019-10-19T18:09:44 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://ejupes.tempsite.ws/8qwzti/complex-number-calculator-82e8b0 | abs calculator | Simplify fraction | Function plotter | All you want to provide is the given inputs in the below box & tap on the calculate button to get the final result along with a detailed solution. Antiderivative calculator | Have questions? imaginary part Español; When a number has the form a + bi (a real number ... | 2021-04-13T02:31:40 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://mathematica.stackexchange.com/questions/128717/convert-omega-to-frequency-in-fouriertransform | # Convert omega to frequency in FourierTransform [closed]
FourierTransform function in mathematica returns Fourier transform of input function in omega.
but I need to get Fourier transform of input function in hertz(frequency) that output should be something like this However with some changes in FourierParameters an... | 2021-08-04T23:15:11 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://zhuanzhi.ai/paper/b1465b11aeabff995fd9ae72c8a6e22d | We investigate how the final parameters found by stochastic gradient descent are influenced by over-parameterization. We generate families of models by increasing the number of channels in a base network, and then perform a large hyper-parameter search to study how the test error depends on learning rate, batch size, a... | 2021-06-16T23:39:08 | {"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://en.wikipedia.org/wiki/User:Asitgoes/Normdis | # User:Asitgoes/Normdis
Developer(s) Institute for Land Reclamation and Improvement (ILRI) Delphi Microsoft Windows English Statistical software Proprietary Freeware NormDis
In statistics and data analysis the application software NormDis is a free and user-friendly calculator for the determination of the cumulative ... | 2018-01-16T15:56:15 | {"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://math.stackexchange.com/questions/2659020/fourier-transform-of-smoothed-measure-converges-uniformly-globally-not-just-on | # Fourier transform of smoothed measure converges uniformly globally (not just on compact sets)?
Let $\mu$ be a probability measure on $\mathbb{R}$.
Let $\psi_{n}(x) = n \psi(n x)$ where $n \geq 1$ and $\psi: \mathbb{R} \to \mathbb{R}$ is $C^{\infty}$, compactly supported, and $\int \psi(x) dx = 1$.
Let $\mu_n = \ps... | 2019-12-13T21:53:25 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://grindskills.com/linear-regression-on-a-sample-spanning-many-orders-of-magnitude/ | # Linear regression on a sample spanning many orders of magnitude
Beer’s law from chemistry says that the absorbance of a liquid $A$ is proportional to the concentration $C$, so:
The standard thing to do then is to prepare a set of solutions with known concentrations, measure the absorbance to form a ‘standard curve’... | 2022-10-02T19:09:04 | {"extraction_info": {"found_math": true, "script_math_tex": 22, "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/ma... |
https://brilliant.org/problems/modularity-and-recursive-sequences/ | # Modularity and Recursive Sequences
The sequence $$a_n$$ is defined by
$\large \begin{cases} a_0=3 \\ a_{n+1}-a_n=n(a_n-1) & \text{for } n \ge 0 \end{cases}$
Find all positive integers $$m$$ such that $$\gcd(m,a_n)=1$$ for all $$n \geq 0$$. What can the solution set for $$m$$ be best described as?
× | 2017-07-25T22:51:49 | {"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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.tmwr.org/workflow-sets.html | # 15 Screening Many Models
We introduced workflow sets in Chapter 7 and demonstrated how to use them with resampled data sets in Chapter 11. In this chapter, we discuss these sets of multiple modeling workflows in more detail and describe a use case where they can be helpful.
For projects with new data sets that have... | 2022-12-05T01:45:13 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://chemistry.stackexchange.com/questions/1341/is-this-the-correct-relative-br%C3%B8nsted-acidity-in-these-four-acids | Is this the correct relative Brønsted acidity in these four acids?
We are asked to sort these four acids by increasing Brønsted acidity:
The problem is, I am confused why $\ce{H2F+}$ is the strongest acid of them all. I understand that stronger acids will have weaker bonds, and the $\ce{F-H}$ bonds should be the most... | 2019-09-18T07:04:49 | {"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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://brilliant.org/problems/nature-of-wave/ | # Nature of wave
Classical Mechanics Level 2
The above two graphs show waves $$A$$ and $$B$$ with the same period, at a particular instant, propagating to the right. Which of the following statements is correct?
a) The frequency of wave $$A$$ is greater than that of wave $$B.$$
b) The wavelength of wave $$A$$ is sm... | 2016-10-25T22:53:46 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://math.stackexchange.com/questions/2799575/counting-pairs-of-multisets-with-prescribed-discrepancy | # Counting pairs of multisets with prescribed discrepancy
It has been explained here many times that $n$ indistinguishable sweets can be distributed to $r$ children in ${n+r-1\choose r-1}$ ways. Given two such allocations (multisets) $x=(x_i)_{1\leq i\leq r}$ and $y=(y_i)_{1\leq i\leq r}$ we can look at their discrepa... | 2022-05-24T07:22:03 | {"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... |
http://mathhelpforum.com/pre-calculus/73568-coordinate-geometry.html | Substitute into the formula for the distance between two points: $\sqrt{(-2 - a)^2 + (3 - [-1])^2} = 6$.
Simplify and then solve for $a$. | 2017-05-24T20:56:01 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 2, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://cms.math.ca/cmb/msc/11T23 | location: Publications → journals
Search results
Search: MSC category 11T23 ( Exponential sums )
Expand all Collapse all Results 1 - 2 of 2
1. CMB 2015 (vol 58 pp. 774)
Hanson, Brandon
Character Sums over Bohr Sets We prove character sum estimates for additive Bohr subsets modulo a prime. These estimates ... | 2016-09-28T05:14:05 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.transtutors.com/questions/1-value-1-00-points-after-evaluating-zero-company-s-manufacturing-process-management-1092208.htm | # 1.value: 1.00 points After evaluating Zero Company’s manufacturing process, management decides to... 1 answer below »
1.value: 1.00 points After evaluating Zero Company’s manufacturing process, management decides to establish standards of 1.5 hours of direct labor per unit of product and $11 per hour for the labor r... | 2020-01-19T16:23:11 | {"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": 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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# 005.最长回文串-Longest Palindromic Substring
Longest Palindromic Substring
## Analysis: Dynamic Programming
To improve over the brute force solution, we fi... | 2020-09-20T01:03:31 | {"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": 1, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://clay6.com/qa/18027/arrange-the-correct-sequence-of-enzymes-which-act-on-food-in-different-regi | # Arrange the correct sequence of enzymes which act on food in different regions of alimentary canal :
$\begin {array} {1 1} (a)\;Pepsin & \quad (b)\;Ptyalin \\ (c)\;Dipeptidase & \quad (d)\;Carboxypeptidase \end {array}$
$\begin {array} {1 1} (1)\;(a),\: (c),\: (b),\: (d) & \quad (2)\;(b),\: (a),\: (d),\: (c) \\ (3)... | 2018-01-18T02:12:38 | {"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://www.learnable.education/how-to-ace-your-hsc-physics-trial-exam-physics-exam-guide/hsc-physics-module-8-practice-questions/ | # HSC Physics Module 8 Practice Questions with Solutions
Can you solve these 10 Must Know HSC Physics Module 8 Exam questions? Test your exam-readiness with our Module 8 'From the Universe to the Atom' questions.
Module 8 ‘From The Universe to the Atom’ is the most conceptually challenging topic in HSC Physics. It ex... | 2023-03-30T01:05:22 | {"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": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://phd.row1.ca/phd/ontology | Appendix A
PhD Thesis
# Frameworks & Ontologies
Rowan Cockett
University of British Columbia
A computational science framework provides a set of standards such that individual scientists can contribute software components, in this case components used in simulation or inversion routines, with the confidence that tho... | 2023-03-28T08:19:03 | {"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": 0, "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-and-intermediate-algebra-concepts-and-applications-6th-edition/chapter-5-polynomials-and-factoring-5-6-factoring-a-general-strategy-5-6-exercise-set-page-344/74 | ## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)
$2t^2(s^3+2t)(s^3+3t)$
Factoring the $GCF= 2t^2$, then the given expression, $2s^6t^2+10s^3t^3+12t^4$ is equivalent to \begin{array}{l} 2t^2(s^6+5s^3t+6t^2) .\end{array} The two numbers whose product is $ac= 1(6)=6$ and whose sum is $b= 5$ a... | 2018-06-22T02:10:19 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.linstitute.net/archives/616529 | # Edexcel IGCSE Maths 复习笔记 2.9.1 Substitution
Edexcel IGCSE Maths 复习笔记 2.9.1 Substitution
#### What is substitution?
• Substitution is where we replace letters in a formula with their values
• This allows you to find one other value that is in the formula
#### How do we substitute?
• Write down the FORMULA if not ... | 2022-08-09T22:30:10 | {"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/appliedmechanicsreviews/article/56/4/B53/463876/Hyperbolic-Systems-of-Conservation-Laws-The-Theory | 7R6. Hyperbolic Systems of Conservation Laws: The Theory of Classical and Nonclassical Shock Waves. - PG LeFloch (Center de Math Appliquees and CNRS, Ecole Polytechnique, Palaiseau, 91128, France). Birkhauser Verlag AG, Basel, Switzerland. 2002. 294 pp. Softcover. ISBN 3-7643-6687-7. \$34.95.
Reviewed by J Novotny (In... | 2019-10-20T09:53:08 | {"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... |
http://www.mathemafrica.org/?cat=120 | ## The Gradient Vector
Introduction
In this post we introduce two important concepts in multivariate calculus: the gradient vector and the directional derivative. These both extend the idea of the derivative of a function of one variable, each in a different way. The aim of this post is to clarify what these concepts... | 2019-12-16T03:33:00 | {"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": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 38, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://math.rutgers.edu/news-events/seminars-colloquia-calendar/icalrepeat.detail/2022/11/29/11729/133/adm-mass-for-metrics-and-distortion-under-ricci-deturck-flow | # Seminars & Colloquia Calendar
Geometric Analysis Seminar
## ADM mass for metrics and distortion under Ricci-DeTurck flow
#### Paula Burkhardt-Guim
Location: Hill Center Room 705
Date & time: Tuesday, 29 November 2022 at 2:50PM - 3:50PM
Abstract: We show that there exists a quantity, depending only on $C^0$data ... | 2023-03-27T18:15:09 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 5, "mimetex.cgi": 0, "/images/mat... |
https://www.semanticscholar.org/paper/Charged-particle-multiplicities-in-pp-interactions-Collaboration/7f426c2a4b2489d59939393c7090856504f4406e | # Charged-particle multiplicities in pp interactions measured with the ATLAS detector at the LHC
@inproceedings{Collaboration2010ChargedparticleMI,
title={Charged-particle multiplicities in pp interactions measured with the ATLAS detector at the LHC},
author={The Atlas Collaboration},
year={2010}
}
• The Atlas Collabo... | 2021-03-01T12:39:20 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.ms.u-tokyo.ac.jp/seminar/topology/past_12.html | ## トポロジー火曜セミナー
開催情報 火曜日 17:00～18:30 数理科学研究科棟(駒場) 056号室 河野 俊丈, 河澄 響矢, 北山 貴裕, 逆井卓也 http://park.itc.u-tokyo.ac.jp/MSF/topology/TuesdaySeminar/index.html Tea: 16:30 - 17:00 コモンルーム
### 2012年10月23日(火)
16:30-18:00 数理科学研究科棟(駒場) 056号室
Tea: 16:00 - 16:30 コモンルーム
A geometric approach to the Johnson homomorphisms (JAPANESE)
[... | 2022-09-24T19:01:18 | {"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://stats.stackexchange.com/questions/417653/non-linear-dimensionality-reduction-for-detecting-coordinate-systems | # Non-linear dimensionality reduction for detecting coordinate systems [closed]
I am trying to find a way to automatically find the appropriate coordinate system for a physical problem.
For example, in the case of a simple pendulum, polar coordinates are the most appropriate ones. I have the data for the x,y cartesia... | 2021-07-29T10:13:03 | {"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": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mymathforum.com/topology/345707-exercise-tangent-bundle.html | My Math Forum Exercise on Tangent bundle
Topology Topology Math Forum
February 2nd, 2019, 09:24 AM #1 Newbie Joined: Jan 2019 From: italy Posts: 6 Thanks: 0 Exercise on Tangent bundle Hi everybody, I have to verify that $S'\times S^2$ doesn't have a frame. That's what I would do: $S'$ has a frame so $T_S'= S'\tim... | 2019-09-19T19:52:16 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://sidhartharya.me/braindump/20210402102641-text_classification/ | # Text Classification
Contents
Text classification is the task of assigning a sentence or document an appropriate category. The categories depend on the chosen dataset.
## Formal Definition
Input:
• a document d
• A set of classes C= c_1, c_2, c_3 …, c_j}
Output: a predicted class $c \in C$
## Classification met... | 2021-10-24T03:15:21 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://physics.stackexchange.com/tags/tensor-calculus/new | # Tag Info
1
When it comes to nonsymmetric tensors, the order of indices matter, even between covariant and contravariant indices. Let us take the difference between $T^a{}_b$ and $T_b{}^a$, multiplied by the metric $g_{ab}$ to raise and lower indices: $$g_{ac}(T^a{}_b-T_b{}^a)=g_{ac}T^a{}_b-g_{ac}T_b{}^a=T_{cb}-T_{b... | 2016-07-24T22:21:12 | {"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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://apboardsolutions.in/ap-board-8th-class-maths-solutions-chapter-1-intext-questions/ | # AP Board 8th Class Maths Solutions Chapter 1 Rational Numbers InText Questions
## AP State Syllabus 8th Class Maths Solutions 1st Lesson Rational Numbers InText Questions
AP State Syllabus AP Board 8th Class Maths Solutions Chapter 1 Rational Numbers InText Questions and Answers.
### 8th Class Maths 1st Lesson Rat... | 2022-07-01T05:16:05 | {"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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://escholarship.org/uc/item/4413j82b | Open Access Publications from the University of California
## Uniqueness/nonuniqueness for nonnegative solutions of second-order parabolic equations of the form $u\sb t=Lu+Vu-\gamma u\sp p$ in $\bold R\sp n$
• Author(s): Englander, Janos
• Pinsky, Ross G
• et al.
Abstract
The authors investigate the uniqueness and n... | 2021-07-30T11:03:43 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://www.map.mpim-bonn.mpg.de/index.php?title=Parametric_connected_sum&diff=15039&oldid=2000 | # Parametric connected sum
(Difference between revisions)
## 1 Introduction
Parametric connected sum is an operation on compact connected n-manifolds
Tex syntax error
$== Introduction == ; Parametric connected sum is an operation on compact connected n-manifolds M and N equipped with codimension 0-embeddings \phi: T... | 2022-09-24T23:31:11 | {"extraction_info": {"found_math": true, "script_math_tex": 51, "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": 46, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/m... |
https://physicstravelguide.com/advanced_notions/quantum_field_theory/instantons?rev=1525513962&do=diff | ### Site Tools
advanced_notions:quantum_field_theory:instantons [2018/04/09 10:59]tesmitekle advanced_notions:quantum_field_theory:instantons [2018/05/05 11:52] (current)jakobadmin ↷ Links adapted because of a move operation Both sides previous revision Previous revision 2018/05/05 11:52 jakobadmin ↷ Links adapted be... | 2020-07-10T11:35:32 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.physicsforums.com/threads/question-about-electronvolts.242977/ | 1. Jul 1, 2008
pzlded
Let there be three electronvolts of energy between a tube’s cathode and plate with a voltage of one volt. Let thermionic emission release one electron at the cathode. From the definition of electronvolt (the energy a point charge gains when it travels through one volt), that electron gains one e... | 2016-10-26T23:57:56 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://zbmath.org/?q=an:06842115 | # zbMATH — the first resource for mathematics
Patterns and coherence resonance in the stochastic Swift-Hohenberg equation with Pyragas control: the Turing bifurcation case. (English) Zbl 1380.93230
Summary: We provide a multiple time scales analysis for the Swift-Hohenberg equation with delayed feedback via Pyragas co... | 2021-01-25T04:50:30 | {"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://mathematica.stackexchange.com/questions/209484/fourier-transform-gives-wrong-result | # Fourier transform gives wrong result
The expression
I InverseFourierTransform[FourierTransform[1/t, t, w]/w, w, x]//FullSimplify
gives
EulerGamma + Log[Abs[x]]
while the correct result should be
EulerGamma - I Pi + Log[x]
the same as of the following:
f[n_, s_] := ((-1)^n n!)/s^(n + 1)
Limit[1/2 f[-1 + h, ... | 2020-04-02T16:37:09 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://www.numdam.org/articles/10.1051/ro:2002007/ | Generalized characterization of the convex envelope of a function
RAIRO - Operations Research - Recherche Opérationnelle, Tome 36 (2002) no. 1, pp. 95-100.
We investigate the minima of functionals of the form
${\int }_{\left[a,b\right]}g\left(\stackrel{˙}{u}\left(s\right)\right)\mathrm{d}s$
where $g$ is strictly con... | 2021-11-27T02:10:26 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 11, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://robotics.stackexchange.com/questions/6953/how-to-calculate-euler-angles-from-gyroscope-output | # How to calculate Euler Angles from gyroscope output?
I am using a tri-axis accelerometer and tri-axis gyroscope to measure the linear acceleration of a body. I need to get the orientation of the body in euler form in order to rotate the accelerometer readings from the body frame into the earth frame. Please help I'm... | 2022-12-07T03:08:19 | {"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": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://stats.stackexchange.com/questions/365925/testing-the-validity-of-models-for-adjusting-bookmaker-odds-into-probabilities-o | # Testing the validity of models for adjusting bookmaker odds into probabilities of real-world events
I'm looking at the use of bookmaker odds to predict the outcome of sporting events in which only two results are possible. A problem with using bookmaker odds to predict outcomes is that they include some vigorish, i.... | 2021-10-21T15:16:57 | {"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://physics.stackexchange.com/questions/516203/will-a-falling-rod-stay-in-contact-with-the-frictionless-floor | # Will a falling rod stay in contact with the frictionless floor?
## Question
A uniform rod of mass $$M$$ is placed almost vertically on a frictionless floor. Since it is not perfectly vertical, it will begin to fall down when released from rest.
I have seen solutions online for this problem and while solving this p... | 2020-05-25T09:10:50 | {"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... |
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