url stringlengths 14 2.42k | text stringlengths 100 1.02M | date stringlengths 19 19 | metadata stringlengths 1.06k 1.1k |
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http://mathoverflow.net/revisions/73374/list | QUESTION: Let $g \geq 4$, $S(g)$ be the fundamental group of the genus $g$ surface, and $G$ be any finitely generated (the number of generators $\leq 3$) group with abelianization of rank less than equal $2$. Assume that there exist a surjection $\phi: S(g) \rightarrow G$. Is it true that the kernel of $\phi$ contains ... | 2013-05-24 13:52:27 | {"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://tex.stackexchange.com/questions/529392/how-to-enter-an-abbreviation-dot-in-parenthesis-for-a-particular-database-entry | # How to enter an abbreviation dot in parenthesis for a particular database entry with biblatex?
I want to cite an item that appeared in an edited volume the title of which ended with an abbreviation. How can I tell biblatex to treat that dot at the end of booktitle as an abbreviation dot?
The manual points out \isdo... | 2021-05-14 15:57:48 | {"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": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://cs.stackexchange.com/questions/151036/construct-a-regular-expression-for-the-set-of-strings-over-a-b-that-contain-a | # Construct a regular expression for the set of strings over {a, b} that contain an odd number of a's and at most four b's
Construct a regular expression for the set of strings over {a, b} that contain an odd number of a's and at most four b's.
So far, I have $$(aa)^*a((b+\varepsilon)(aa)^*)^4$$, but I don't think th... | 2022-08-11 14:50:48 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.physicsforums.com/threads/gravity-exerted-by-a-fast-moving-object-versus-stationary-object.687833/ | # Gravity exerted by a fast moving object versus stationary object?
bcrelling
Take two scenarios:
1) A 2kg mass at rest
2) A 1kg mass accelerated to a speed such that its relatavistic mass is 2kg (0.866C)
Which excerts more gravity?
Now the obvoious answer is that they excert the same gravity as they have the same... | 2022-09-28 05:49:40 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://www.kengerhard.com/solution-manual-of-compiler-design-aho-ullman/ | # Solution Manual Of Compiler Design Aho Ullman
Solution Manual Of Compiler Design Aho Ullman
As you can see, there are two solutions. The same thing happens on the “receiver” side. If you want to include both solutions in your question, then you should use the integral form:
Solution? This is the solution manual fo... | 2022-07-02 05:51:00 | {"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://codingvision.net/networking/c-http-server-with-aspnet | This tutorial will show you how to create a HTTP server that can parse ASP.NET files. It will be able to serve pages containing html,css and server-side code. As always I’ll try to keep the code simple - luckily .NET does all the work for us.
## 1. Preparing the project
Start by creating a Console Project. Once the p... | 2020-08-03 23:01:59 | {"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": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://homework.cpm.org/category/CON_FOUND/textbook/gc/chapter/6/lesson/6.2.4/problem/6-73 | ### Home > GC > Chapter 6 > Lesson 6.2.4 > Problem6-73
6-73.
$\text{If }\overline{BD} \text{ divides }\angle ABC\text{ into two equal parts, what can you do with the equations for their measures?}$
3x + 24° = 5x + 2°
Once you have solved for x, substitute it back into the expressions of each angle.
How can you use ... | 2020-09-22 13:57:38 | {"extraction_info": {"found_math": true, "script_math_tex": 1, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://tex.stackexchange.com/questions/365135/serif-numbers-in-monospaced-environments-in-mathspec-but-not-fontspec | # Serif numbers in monospaced environments in mathspec but not fontspec
I would like to use a serif font for both the body of my text and maths environments as well as a separate monospaced font for things like URLs.
When I compile this using fontspec:
\documentclass[12pt,a4paper]{article}
\usepackage{fontspec}
\set... | 2019-12-10 18:13:00 | {"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... |
http://komenarpublishing.com/black-noir-lvjv/115bf9-hard-work-is-more-important-than-intelligence-persuasive-essay | ... Intelligence. Overall, working hard is much more important than just being born with natural talent. I'll bite, because I think I have a new answer to this old question: Clearly both are important. Hard work can not make talent less useful, but talent becomes less useful when it is not perfected by hard work. I kno... | 2022-01-25 11:09:16 | {"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": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://codereview.stackexchange.com/questions/181943/triangle-area-computation-and-linear-transformations | # Triangle area computation and linear transformations
I have a task to learn how to write clear and understandable documentation of written code in python. Please, can you give me a feedback to attached code below? I need to know if the code and comments explains the functionality of code properly.
# math operations... | 2019-05-23 16:20:33 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.ias.ac.in/listing/bibliography/boms/ANUPAM_KARMAKAR | • ANUPAM KARMAKAR
Articles written in Bulletin of Materials Science
• Graphene-nanoparticle incorporated responsivity tuning of p-CuO/n-Si-based heterojunction photodetectors
The current work focusses on investigating the appropriate wt% of graphene-nanoparticles to be incorporated into the CuO film as a dopant for ... | 2019-10-20 01:24:09 | {"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://iq.opengenus.org/time-and-space-complexity-of-bellman-ford-algorithm/ | # Time & Space Complexity of Bellman Ford Algorithm
#### Algorithms Time Complexity Graph Algorithms
Get FREE domain for 1st year and build your brand new site
In this post, we do an analysis the Bellman Ford's single source shortest path graph algorithm to find its computational Time and Space complexity for Best c... | 2021-11-27 18:09:06 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://bugzilla.mozilla.org/show_bug.cgi?id=491668 | Open Opened 13 years ago Updated 7 years ago
# MathML node clientWidth, clientHeight, offsetLeft & offsetTop values are incorrect
x86
Windows Vista
Not set
normal
NEW
## Attachments
### (2 files)
2.56 KB, application/xhtml+xml Details 1.73 KB, text/html Details
User-Agent: Mozilla/4.0 (compatible; MSIE 7.0... | 2021-12-03 02:08:06 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://en.wikipedia.org/wiki/Morphism_of_algebraic_varieties | # Morphism of algebraic varieties
In algebraic geometry, a morphism between algebraic varieties is a function between the varieties that is given locally by polynomials. It is also called a regular map. A morphism from an algebraic variety to the affine line is also called a regular function. A regular map whose inver... | 2021-01-22 11:05:53 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 84, "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://chemistry.stackexchange.com/questions/80961/why-do-polarizable-nucleophiles-favor-sn2-over-e2/80963 | # Why do polarizable nucleophiles favor SN2 over E2?
Weakly basic ions and polarizable bases favor $$\mathrm{S_{N}2}$$ over $$\mathrm{E2}$$. Why? The argument used that polarizable nucleophiles form bonds earlier, stabilizing the transition state, can be applied to either $$\mathrm{S_{N}2}$$ or $$\mathrm{E2}$$. | 2022-01-19 05:51:35 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.gradesaver.com/textbooks/math/algebra/algebra-1/chapter-2-solving-equations-2-3-solving-multi-step-equations-practice-and-problem-solving-exercises-page-99/56 | ## Algebra 1
$$x=\frac{13}{3}$$
$$8(\frac{3x}{8}-1)=8(\frac{5}{8})$$ the problem is in this step, the 8 needs to be distributed to the 1 as well $$3x-8=5$$ $$3x=13$$ $$x=\frac{13}{3}$$ | 2019-09-20 20:34:39 | {"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... |
https://mathspace.co/textbooks/syllabuses/Syllabus-406/topics/Topic-7189/subtopics/Subtopic-96060/?activeTab=interactive | # Use the distributive property
## Interactive practice questions
Which of the following area models match the statement $6\times35$6×35?
Select all the correct options.
$30$30 $3$3 $6$6
A
$30$30 $5$5 $6$6
B
$32$32 $3$3 $6$6
C
$30$30 $5$5 $8$8
D
$30$30 $3$3 $6$6
A
$30$30 $5$5 $6$6
B
$32$32 $3$3 $6$6
C
$30$3... | 2022-01-27 17:14:11 | {"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... |
https://blog.bi0s.in/2019/03/18/Crypto/Block-Ciphers/confidenceteaser19-countmein/ | # Count me in - Teaser CONFidence CTF 2019
tl;dr Known plaintext attack on a multithreaded AES-CTR
Challenge Points: 59
Challenge Solves:
Solved by: v3ct0r
This challenge is a customised version of AES-CTR. Here is the challenge script:
import multiprocessing
from Crypto.Cipher import AES
from secret import key, ... | 2020-05-30 02:03:09 | {"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://isotopicmaps.org/pipermail/tmql-wg/2004-March/000202.html | # [tmql-wg] Result set requirements
Robert Barta rho@bigpond.net.au
Wed, 3 Mar 2004 07:25:23 +1000
On Tue, Mar 02, 2004 at 12:17:13PM +0100, Rani Pinchuk wrote:
> Maybe I should emphasis that I speak about complexity in learning the
> language - so in the syntax of the language:
>
> If the query returns ALWAYS one li... | 2018-11-17 03:00:16 | {"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": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://undergroundmathematics.org/trigonometry-compound-angles/r8525/solution | Review question
# Can we prove $\sin a \sin b \leq \sin^2\frac{1}{2}(a+b)$? Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource
Ref: R8525
## Solution
Prove that, for all values of $a$ and $b$, $\sin a \sin b \le \sin^2\frac{1}{2}(a+b).$
... | 2018-01-17 10:58:59 | {"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": 3, "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/53514/seiberg-witten-equation-on-s2-times-s1 | Seiberg-Witten equation on S^2\times S^1
What are the irreducible solutions of Seiberg-Witten equation on S^2\times S^1? Thanks.
-
The equations depends on a Riemannian metric and on a perturbation term (a closed 2-form). The usual metric on $S^2\times S^1$ has positive scalar curvature, which implies that there are... | 2015-09-03 15:24:03 | {"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... |
https://indico.cern.ch/event/344485/contributions/1744597/ | # ICRC2015
July 29, 2015 to August 6, 2015
World Forum
Europe/Amsterdam timezone
## Reacceleration of electrons in supernova remnants
Aug 4, 2015, 4:00 PM
1h
Amazon Foyer (World Forum)
### Amazon Foyer
#### World Forum
Churchillplein 10 2517 JW Den Haag The Netherlands
Board: 176
Poster contribution CR-TH
### Sp... | 2023-03-21 18:02:09 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://math.stackexchange.com/questions/88341/branch-cut-and-logz-derivative | # Branch cut and $\log(z)$ derivative
I'm a little confused about the branch cut thing. Given an entire functions $f(z),g(z),h(z)$, $z\in \mathbb C$, such that $f(x)=g(x)+h(x)$ for all $x\in \mathbb R$, $f$ and $g+h$ doesn't vanish on $\mathbb R$ . I take the $\log$ for both sides then differentiate and get:
$$\log f... | 2014-03-07 11:17:46 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://bradzzz.gitbooks.io/ga-seattle-dsi/content/dsi/dsi_06_trees_methods/5.2-lesson/readme.html | # Communicating results
Week 6| Lesson 5.2
### LEARNING OBJECTIVES
After this lesson, you will be able to:
• Analyze costs and benefits when presenting data
• Decide how to present it based on audience
• Find common mistakes in visualizations
• Correct such mistakes
• Visualize results in tableau
### STUDENT PRE-W... | 2020-09-26 11:57:27 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://proxieslive.com/existence-and-uniqueness-of-entropy-solutions-for-a-scalar-conservation-law/ | # Existence and uniqueness of entropy solutions for a scalar conservation law
Consider the conservation law
$$(\ast) \qquad u_t + \partial_x(u^\alpha) = 0$$ where $$\alpha > 0$$.
For what values of $$\alpha$$ is it known that there exists a (unique) entropy solution for the initial value problem associated to $$(\as... | 2020-01-22 12:49:45 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://elteoremadecuales.com/removable-singularity/ | # Removable singularity
For instance, the (unnormalized) sinc function {displaystyle {text{sinc}}(z)={frac {sin z}{z}}} has a singularity at z = 0. This singularity can be removed by defining {displaystyle {text{sinc}}(0):=1,} which is the limit of sinc as z tends to 0. The resulting function is holomorphic. In this c... | 2023-03-28 10:56:47 | {"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://www.ck12.org/algebra/Order-of-Operations/lesson/Evaluate-Numerical-and-Variable-Expressions-Using-the-Order-of-Operations-MSM8/ | <img src="https://d5nxst8fruw4z.cloudfront.net/atrk.gif?account=iA1Pi1a8Dy00ym" style="display:none" height="1" width="1" alt="" />
# Order of Operations
## The order of operations outlines the order by which certain operatives should take place in a mathematical expression for it to remain true
%
Progress
MEMORY M... | 2016-12-09 05:19:24 | {"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": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://mathoverflow.net/questions/281095/formulation-of-contour-variational-problem | # Formulation of contour variational problem
I am having difficulty formulating a problem, which involves optimizing a contour shape, into a well-posed variational form that would give a reasonable answer.
Within a bounded region on the $xy$ plane, say $x\in[-x_{0},x_{0}], y\in[-y_{0},y_{0}]$, we have a continuous sc... | 2019-10-14 14:26:11 | {"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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://math.stackexchange.com/questions/134574/carmichael-numbers | # Carmichael numbers?
$a^{p-1} \equiv 1 \pmod p$
Why do Carmichael numbers prevent Fermat's Little Theorem from being a guaranteed test of primality? Fermat' Little theorem works for any $a$ such that $1≤a\lt p$, where $p$ is a prime number. Carmichael numbers only work for $a$'s coprime to $N$ (where $N$ is the modu... | 2015-07-30 18:43:37 | {"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... |
http://golem.ph.utexas.edu/~distler/blog/archives/2010_06.shtml | ## June 27, 2010
### Crib Notes
It is difficult to get a man to understand something when his livelihood depends on him not understanding it.
— Upton Sinclair
You probably don’t want to read this post. It has an intended audience of one — my erstwhile coauthor, Skip Garibaldi.
Skip and I wrote a paper, last year, w... | 2014-04-24 10:59:46 | {"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/srednicki-problem-3-4.728480/ | # Homework Help: Srednicki Problem 3.4
1. Dec 15, 2013
### WannabeNewton
1. The problem statement, all variables and given/known data
Recall that $T(a)^{-1}\varphi(x)T(a) = \varphi(x - a)$ where $T(a) = e^{-iP^{\mu}a_{\mu}}$ is the space-time translation operator and $P^{\mu}$ is the 4-momentum operator.
(a) Let $a... | 2018-07-21 05:01:24 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://galotib.palmolive2day.com/ra-milikans-photoelectric-experiments-that-supported-einsteins-theory-77867bb.html | # Ra milikans photoelectric experiments that supported einsteins theory
Today, the accepted value is 1. Working with Fletcher, Millikan showed that the charge of the droplets were always a whole number multiple of 1. Fortunately, these electrons aren't moving at relativistic speeds! The fact that 16 years went by befo... | 2019-08-25 15:09:24 | {"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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://discuss.codechef.com/questions/98089/mxmedian-editorial | ×
# MXMEDIAN - Editorial
Practice
Contest
Author: Praveen Dhinwa
Tester: Pawel Kacprzak and Misha Chorniy
Editorialist: Bhuvnesh Jain
EASY
# Prerequisites
Greedy, Sorting, Median
# Problem
You are given an array $A$ of size $2 * N$ consisting of positive integers, where $N$ is an odd number. You can construc... | 2019-03-21 18:20:25 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://grephysics.net/ans/9677/56 | GR 8677927796770177 | # Login | Register
GR9677 #56
Problem
GREPhysics.NET Official Solution Alternate Solutions
This problem is still being typed.
Optics$\Rightarrow$}Total Internal Reflections
Total internal reflection is when one has a beam of light having all of the incident wave reflected. Going through a bit o... | 2023-03-22 19:27:45 | {"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": 36, "/images/ma... |
https://math.stackexchange.com/questions/154985/do-omega-omega-2-aleph-0-aleph-1 | # Do $\omega^\omega=2^{\aleph_0}=\aleph_1$?
As we know, $2^{\aleph_0}$ is a cardinal number, so it is a limit ordinal number. However, it must not be $2^\omega$, since $2^\omega=\sup\{2^\alpha|\alpha<\omega\}=\omega=\aleph_0<2^{\aleph_0}$, and even not be $\sum_{i = n<\omega}^{0}\omega^i\cdot a_i$ where $\forall i \le... | 2022-05-24 18:22:14 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://physics.stackexchange.com/questions/79522/given-wave-function-at-t-0-what-is-the-process-of-deriving-time-dependent-wav | # Given wave function at $t=0$, what is the process of deriving time dependent wave equation? [closed]
Suppose $$\Psi (x, t=0)=Ae^{i\alpha _1}\psi _1(x)+Be^{i\alpha _2}\psi_2(x)+Ce^{i\alpha _3}\psi_3(x).$$ If $\psi _n$ are the energy eigenfunctions how would I derive $\Psi (x,t)$?
I am having trouble with the $\psi_n... | 2015-08-01 12:06:06 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://cooking.stackexchange.com/questions/42569/how-can-i-reduce-the-heat-output-of-this-heating-element/42571 | # How can I reduce the heat output of this heating element?
I'd like to add a Brinkmann 1500 watt element to my Bradley smoker to bring my temps up in cold weather.
I'd like to limit the amount of heat it puts out, is there a voltage regulator or resistor I can use to drop the heat? Something variable maybe?
## migr... | 2019-11-22 00:07:50 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://www.go4expert.com/forums/makefile-gmake-t21405/ | # Makefile gmake
Light Poster
Hi!
Can someone tell me what this means in line makefile:
include \$ (DVD_MAKE) / generic.mak
Thanks!
0
Light Poster
Quote:
Originally Posted by irdeto
Hi!
Can someone tell me what this means in line makefile:
include \$ (DVD_MAKE) / generic.mak
Thanks!
What means here sign of dollar \$.
... | 2014-10-24 13:44:02 | {"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://codereview.stackexchange.com/questions/217150/database-model-security-for-book-inventory | # Database Model Security For Book Inventory
This code is one of the models developed for the Book Inventory application that is open for review. It is also based on a comment on this answer to a C# question. Based on the comment I did some research and found this stackoverflow question.
The code presented for review... | 2020-02-25 07:20:00 | {"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": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathoverflow.net/questions/6538/generalizations-of-boolean-posets-lattices/6566 | # Generalizations of Boolean posets/lattices
A Boolean lattice has a number of rather nice properties which give it a central role in many parts of combinatorics. For instance, it's a lattice, it can be augmented with a ring structure, it can also be augmented with an associative algebra structure, it has a complement... | 2015-03-03 00:52:43 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 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-differentiate-g-y-x-2-1-x-2-2-3-2-using-the-product-rule | # How do you differentiate g(x) =(x^2 - 1) (x^2 - 2)^(3/2 using the product rule?
Nov 11, 2017
$g ' \left(x\right) = x {\left({x}^{2} - 2\right)}^{\frac{1}{2}} \left(5 {x}^{2} - 7\right)$
#### Explanation:
$\text{given "g(x)=f(x)h(x)" then}$
$g ' \left(x\right) = f \left(x\right) h ' \left(x\right) + h \left(x\ri... | 2019-04-22 22:24:57 | {"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": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://www.mfmat.org/cours_giorgio.html | GdT Scattering des EDP non-lineaires
Scattering theory for Schrodinger equations (Giorgio Velo)
Basic ideas in scattering theory will be introduced and applied to the nonlinear Schroedinger equation (NLS) and to the Hartree equation (HE). In situations of short range the Cauchy problem with infinite initial time will... | 2022-08-14 14:46:00 | {"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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://cfgt.net/blog/2012/11/10/when-to-spend-more | # When To Spend More
Buying things seems to get more complicated every year. This increased complexity can include opportunity costs, the choices and sometimes, even the price. Then at some point in your life, you get a job and now you have more disposable income to spend. It's a lot easier to make a decision when you... | 2018-09-25 16:52:04 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://artofproblemsolving.com/wiki/index.php?title=2001_AMC_10_Problems/Problem_24&diff=cur&oldid=71436 | # Difference between revisions of "2001 AMC 10 Problems/Problem 24"
## Problem
In trapezoid $ABCD$, $\overline{AB}$ and $\overline{CD}$ are perpendicular to $\overline{AD}$, with $AB+CD=BC$, $AB, and $AD=7$. What is $AB\cdot CD$?
$\textbf{(A)}\ 12 \qquad \textbf{(B)}\ 12.25 \qquad \textbf{(C)}\ 12.5 \qquad \textbf{(... | 2021-10-18 19:20:41 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 69, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://blog.omega-prime.co.uk/2012/12/06/rpath-emulation-absolute-dll-references-on-windows/ | When creating an executable or shared library on Linux, it’s possible to include an ELF RPATH header which tells the dynamic linker where to search for the any shared libraries that you reference. This is a pretty handy feature because it can be used to nail down exactly which shared library you will link against, with... | 2018-08-17 01:54:44 | {"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... |
https://colinsalmcorner.com/install-and-configure-sql-server-using-powershell-dsc/ | # Install and Configure SQL Server using PowerShell DSC
I’m well into my journey of discovering the capabilities of PowerShell DSC and Release Management’s DSC feature (See my previous posts: PowerShell DSC: Configuring a Remote Node to “Reboot If Needed”, Using PowerShell DSC in Release Management: The Hidden Manual ... | 2022-08-08 07:18:33 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://practice.geeksforgeeks.org/problems/special-series-sum0903/1 | Special Series Sum
Basic Accuracy: 75.79% Submissions: 2049 Points: 1
Given the value of n, we need to find the sum of the series where i-th term is sum of first i natural numbers.
NOTE: Sum of the series 1 + (1+2) + (1+2+3) + (1+2+3+4) + …… + (1+2+3+4+…+n)
Example 1:
Input: n = 5
Output: 35
Explanation: 1 + (1+2) ... | 2021-09-17 04:05:38 | {"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": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://programmathically.com/introduction-to-the-hypothesis-space-and-the-bias-variance-tradeoff-in-machine-learning/ | # Introduction to the Hypothesis Space and the Bias-Variance Tradeoff in Machine Learning
Sharing is caring
In this post, we introduce the hypothesis space and discuss how machine learning models function as hypotheses. Furthermore, we discuss the challenges encountered when choosing an appropriate machine learning h... | 2022-08-14 20:43:54 | {"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": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://en.m.wikisource.org/wiki/1911_Encyclop%C3%A6dia_Britannica/Infinitesimal_Calculus/Nature_of_the_Calculus | # 1911 Encyclopædia Britannica/Infinitesimal Calculus/Nature of the Calculus
Infinitesimal Calculus (§1) Infinitesimal CalculusI. Nature of the Calculus (§2-12) II. History (§13-22)
I. Nature of the Calculus.
2. The guise in which variable quantities presented themselves to the mathematicians of the 17th century wa... | 2022-07-02 23:26:20 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 62, "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://leanprover-community.github.io/archive/stream/113489-new-members/topic/Negated.20proof.20on.20else-branch.html | ## Stream: new members
### Topic: Negated proof on else-branch
#### Marcus Rossel (Feb 24 2021 at 20:27):
If-then-else expressions give us the option of obtaining a proof of the condition we're checking on the then-branch:
if h : my_condition
then use_condition h
else ...
Is there a way of obtaining a proof of ¬h... | 2021-05-13 21:48:04 | {"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": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathoverflow.net/questions/5865/classical-calculi-as-universal-quotients?sort=votes | # Classical Calculi as Universal Quotients
As is well known, every differential calculus $(\Omega,d)$ over an algebra $A$ is a quotient of the universal calculus $(\Omega_A,d)$, by some ideal $I$. In the classical case, when $A$ is the coordinate ring of a variety $V(J)$ (for some ideal of polynomials $J$), and $(\Ome... | 2015-11-25 08:32:25 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://math.stackexchange.com/questions/401707/true-or-false-statements-odd-integers | # True or false statements odd integers
One is false one is true write the negation for the false one and prove both of them
a) for all integers a, there exists an integer b so that a+b=odd
b) there exists an integer b such that for all integers a, a+b=odd
I said (a) is false and (b) is true. I wrote the negation f... | 2022-12-03 04:41:58 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://www.komal.hu/verseny/feladat.cgi?a=feladat&f=P3869&l=en | Magyar Information Contest Journal Articles
# Problem P. 3869. (February 2006)
P. 3869. A sample of ideal gas is taken through the cyclic process shown in the figure. The temperature of the gas at state A is TA=200 K. At states B and C the temperature of the gas is the same.
a) What is the greatest temperature of th... | 2017-12-13 03:29:33 | {"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://socratic.org/questions/what-is-half-of-1-1-2-cups | What is half of 1 1/2 cups?
Then teach the underlying concepts
Don't copy without citing sources
preview
?
Explanation
Explain in detail...
Explanation:
I want someone to double check my answer
149
Mar 9, 2016
$\frac{3}{4}$ cup
Explanation:
$1 \frac{1}{2}$ can be written as an improper fraction $\frac{3}{2}$
... | 2018-02-18 17:58:35 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 20, "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.transtutors.com/questions/identify-two-disadvantages-of-using-the-payback-period-for-compa-256214.htm | # Identify two disadvantages of using the payback period for compa
Identify two disadvantages of using the payback period for comparing investments. | 2019-04-20 12:52:04 | {"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://electronics.stackexchange.com/questions/420108/is-c0g-a-synonym-for-np0 | # Is C0G a synonym for NP0?
This question is in the context of a production environment where part numbers and change notices are strictly controlled, and any alternate manufacturer parts under an internal part number must be equivalent components.
For Class 2 Dielectrics, the rating codes are well defined. When requ... | 2022-11-27 04:51:08 | {"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": 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/m21-184291.html | GMAT Question of the Day - Daily to your Mailbox; hard ones only
It is currently 22 Feb 2019, 04:25
### 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.
Customize... | 2019-02-22 12:25:40 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.scilag.net/problem/P-180707.1 | # Boundary layers in periodic homogenization of Dirichlet problem
Partially SolvedYear of origin: 1978
Posted online: 2018-07-07 19:13:48Z by Hayk Aleksanyan151
Cite as: P-180707.1
• Analysis of PDEs
### Problem's Description
Consider the homogenization problem of the elliptic system $$- \nabla \cdot A \left( \fr... | 2019-05-25 07:41:49 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://math.stackexchange.com/questions/1846769/eigenvalues-of-product-of-a-matrix-with-a-diagonal-matrix?noredirect=1 | # Eigenvalues of product of a matrix with a diagonal matrix
I have got a question and I would appreciate if one could help with it.
Assume $S$ is a diagonal matrix (with diagonal entries $s_1, s_2, \cdots$) and $M$ is a positive symmetric matrix with eigen value decomposition as follows:
$$\mathrm{eig}(M) = ULU^T$$
... | 2019-09-24 09:07:31 | {"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": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://liorpachter.wordpress.com/ | Nature Publishing Group claims on its website that it is committed to publishing “original research” that is “of the highest quality and impact”. But when exactly is research “original”? This is a question with a complicated answer. A recent blog post by senior editor Dorothy Clyde at Nature Protocols provides insight... | 2014-09-19 13:49:04 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 166, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/m... |
http://dekalogblog.blogspot.com/ | Sunday, 1 March 2015
Particle Swarm Optimisation, Part 2.
Following on from my last post, here is an Octave .oct file implementation of the one dimensional Particle swarm optimisation routine, with one slight twist: instead of using a for loop I've implemented it within a while loop with a stopping condition that the... | 2015-03-29 06:04:19 | {"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://robotics.stackexchange.com/questions/19713/number-of-pixel-comparison-needed-to-establish-correspondence/19715 | # Number of pixel comparison needed to establish correspondence
I am reading the paper titled Variable Baseline/Resolution Stereo David Gallup, Jan-Michael Frahm, Philippos Mordohai, Marc Pollefeys
Section 3 of the paper talks about the time complexity of the standard stereo, within it, subsection for fixed baseline ... | 2020-07-08 11:29:14 | {"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": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://mathspace.co/textbooks/syllabuses/Syllabus-914/topics/Topic-19403/subtopics/Subtopic-259833/ | # 4.01 Review: Laws of exponents
Lesson
Let's review the laws of exponents. It's important to remember the order of operations when we're simplifying these expressions.
Laws of exponents
• The product of powers property: $a^m\times a^n=a^{m+n}$am×an=am+n
• The quotient of powers property: $a^m\div a^n=a^{m-n}$am÷an... | 2022-01-26 07:34:01 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://socratic.org/questions/how-do-you-evaluate-27-8-4-3 | # How do you evaluate (-27/8)^(4/3)?
${\left(- \frac{27}{8}\right)}^{\frac{4}{3}}$
$= {\left({\left(- \frac{27}{8}\right)}^{\frac{1}{3}}\right)}^{4}$
$= {\left(\frac{\sqrt[3]{- 27}}{\sqrt[3]{8}}\right)}^{4}$
$= {\left(- \frac{3}{2}\right)}^{4}$
$= \frac{81}{16}$ | 2022-05-25 14:21:04 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 5, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://proxies-free.com/numerical-integration-nintegrate-and-maxrecursion/ | # numerical integration – NIntegrate and MaxRecursion
I’m using `NIntegrate` to get the value of a very complicated function `f[k,T,M]`, where `T` and `M` are some parameters:
``````S[T_, M_, MaxRec_]:= NIntegrate[f[k, T, M], {k,0,Infinity}, PrecisionGoal->10, MaxRecursion->MaxRec]
``````
What puzzles me is the fact... | 2021-09-28 00:54:47 | {"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.electro-tech-online.com/threads/hacking-steering-wheel-controls-to-radio.140501/page-2 | # Hacking steering wheel controls to radio
#### alec_t
##### Well-Known Member
In the LM3914's 'dot' mode there is a slight overlap of the respective voltage levels for the dots. Is this likely to be a problem?
#### JimB
##### Super Moderator
For information, please see the attachment which is a scan of the schemat... | 2018-09-26 06:27:39 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://cadet.github.io/master/modelling/unit_operations/inlet.html | You're reading the documentation for a development version. For the latest released version, please have a look at v4.3.0.
# Inlet¶
A system inlet unit operation is a pseudo unit operation since there is no physical correspondence. The inlet serves as a mass source in the network of unit operations. Consequently, it ... | 2022-05-17 06:59:59 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://en.wikipedia.org/wiki/Binary_classification | # Binary classification
Binary or binomial classification is the task of classifying the elements of a given set into two groups on the basis of a Classification rule. Some typical binary classification tasks are
• medical testing to determine if a patient has certain disease or not (the classification property is th... | 2014-04-20 19:55:31 | {"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": 12, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://answers.opencv.org/questions/220383/revisions/ | Revision history [back]
cv2.VideoCapture() importing file seq. with numbers on the name. Is this a bug?
I was trying to open a tiff file seq. with cv2.VideoCapture(), because it's easier to handle then using cv2.imread.
It works ok in general, but if the file name have numbers in the basename, (before the number pad... | 2020-06-04 05:59:55 | {"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": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://brianbuccola.com/lenovo-x140e-and-arch-linux/ | # Lenovo X140e and (Arch) Linux
January 23, 2015
My previous laptop was an Asus that ran Linux beautifully, until, after a few years, several pieces of hardware stopped working (first battery, then wifi, then monitor). I had heard great things about Lenovo, specifically how nicely they play with Linux, so last summer... | 2019-02-21 05:50:32 | {"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": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://codeforces.com/problemset/problem/497/E | Reminder: in case of any technical issues, you can use the lightweight website m1.codeforces.com, m2.codeforces.com, m3.codeforces.com. ×
E. Subsequences Return
time limit per test
1 second
memory limit per test
256 megabytes
input
standard input
output
standard output
Assume that sk(n) equals the sum of digits of nu... | 2020-04-08 15:55:12 | {"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": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://documenta.sagemath.org/vol-20/30.html | #### DOCUMENTA MATHEMATICA, Vol. 20 (2015), 1055-1069
Christian Bopp
Syzygies of 5-Gonal Canonical Curves
We show that for 5-gonal curves of odd genus $g≥ 13$ and even genus $g≥ 28$ the $\lceil \frac{g-1}2\rceil$-th syzygy module of the curve is not determined by the syzygies of the scroll swept out by the special p... | 2017-06-23 13:38:35 | {"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... |
http://ieeexplore.ieee.org/xpl/tocresult.jsp?reload=true&isnumber=6195043 | By Topic
# IEEE Transactions on Nanotechnology
## Filter Results
Displaying Results 1 - 25 of 37
• ### [Front cover]
Publication Year: 2012, Page(s): C1
| PDF (182 KB)
• ### IEEE Transactions on Nanotechnology publication information
Publication Year: 2012, Page(s): C2
| PDF (40 KB)
Publication Year: 2012, Page(s... | 2017-07-27 00:04:27 | {"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://labs.tib.eu/arxiv/?author=91405%20Orsay%20Cedex | • The flux of very high-energy neutrinos produced in our Galaxy by the interaction of accelerated cosmic rays with the interstellar medium is not yet determined. The characterization of this flux will shed light on Galactic accelerator features, gas distribution morphology and Galactic cosmic ray transport. The central... | 2020-11-29 15:08:56 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://codegolf.stackexchange.com/questions/220833/highest-single-turn-score-in-match-land | # Highest single-turn score in Match Land
## Background
Match Land is a mobile game that falls into the Match-3 genre (think Bejeweled or Candy Crush Saga series): swap two orthogonally adjacent pieces to make a 3-in-a-row or longer. However, Match Land has an additional rule that makes the game much more interesting... | 2021-05-16 18:04:47 | {"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": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://voer.edu.vn/c/photon-momentum/0e60bfc6/da278131 | Giáo trình
College Physics
Science and Technology
Photon Momentum
Tác giả: OpenStaxCollege
Measuring Photon Momentum
The quantum of EM radiation we call a photon has properties analogous to those of particles we can see, such as grains of sand. A photon interacts as a unit in collisions or when absorbed, rather t... | 2019-11-22 13:50:39 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 68, "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://bdsmlog.mistresstissa.com/whats-your-number/ | ## 4 thoughts on “What’s Your Number?”
1. Jack says:
What a fun survey to take! The images make is much easier that the usual on a scale of 1 – 10!
Thanks for the post, was fun making up my mind picturing which image I would most enjoy.
Jack
1. Mistress Tissa says:
Thanks for your comment, Jack. Glad you enjoyed p... | 2022-01-29 08:31:26 | {"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... |
https://www.freemathhelp.com/forum/threads/simplify-into-double-angle-formula.117487/ | # Simplify into Double Angle Formula
#### KatieJM
##### New member
Hi there,
I need some help with this answer ASAP, please and thank you!
Simplify the expression by using a double-angle formula:
(I am attaching a screen shot of the formula because I can't find how to type the symbols).
Thanks!
Katie
#### Subhoto... | 2019-12-15 06:00:07 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://gamedev.stackexchange.com/questions/9382/converting-to-and-from-local-and-world-3d-coordinate-spaces | # Converting to and from local and world 3D coordinate spaces?
I've been following a guide I found here (http://knol.google.com/k/matrices-for-3d-applications-view-transformation) on constructing a matrix that will allow me to 3D coordinates to an object's local coordinate space, and back again. I've tried to implemen... | 2020-01-28 07:15:06 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.xarg.org/puzzle/codingame/benfords-law/ | # Codingame Solution: Benford's law
Original Problem
## Goal
In this puzzle that shows a real-life phenomenon, you have to detect whether a bank account have a high risk to contain fraudulent transactions.
The Benford law is used on real anti-fraud systems to detect frauds about government accounting fraud, fiscal ... | 2021-04-16 03:13:28 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://juanmarqz.wordpress.com/cucei-maths/multilinear-algebra-cucei-2009-b/multilineal-leccion-6/ | # multilineal lección 6
### tensor fields on a surface and its covariant derivatives
the collection $T\Sigma$ of all the tangent spaces $T_p\Sigma$ is called the tangent bundle of the surface, i.e.
$T\Sigma=\bigsqcup_pT_p\Sigma$
A vector field in a surface is a mapping $X:\Sigma\to T\Sigma$ with the condition $p\ma... | 2019-07-20 23:06:21 | {"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": 0, "mathjax_asciimath": 0, "img_math": 46, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://plainmath.net/45781/hot-air-balloonist-rising-vertically-with-constant-velocity-magnitude | # A hot-air balloonist, rising vertically with a constant velocity of magnitude 5.
A hot-air balloonist, rising vertically with a constant velocity of magnitude 5.00 m/s, releases a sandbag at an instant when the balloon is 40.0 m above the ground. After the sandbag is released, it is in free fall. (a) Compute the pos... | 2022-09-30 18:52:36 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 68, "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://danielfurth.com/?q=node/7 | ## Information transfer at multiple time-scales
• strict warning: Non-static method view::load() should not be called statically in /customers/c/4/b/danielfurth.com/httpd.www/modules/views/views.module on line 879.
• strict warning: Declaration of views_handler_filter::options_validate() should be compatible with view... | 2017-07-25 20:29:03 | {"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": 157, "wp_latex": 0, "mimetex.cgi": 0, "/images/m... |
https://puzzling.stackexchange.com/questions/12934/review-this-now/14397 | # Review this, now!
What's happening is very strange,
I belong to another StackExchange!
I'm indeed off-topic here in Puzzling,
It isn't always clear what I'm saying.
Even though I'm often too broad,
Review it, something is flawed.
I'm just suggesting an edit,
A low quality job, ain't it?
For new users I'm a big t... | 2020-02-18 04:49:30 | {"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": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.stellar.org/lumens/ | One lumen (XLM) is a unit of digital currency, like a bitcoin.
## The Fundamentals
### What are lumens?
One lumen (XLM) is a unit of digital currency, like a bitcoin.
Lumens are the native asset of the Stellar network.
Native means that lumens are built into the network. Asset is how the network refers to an item ... | 2018-10-18 20:21:10 | {"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://www.actuaries.digital/2016/09/28/the-importance-of-projections-in-developing-retirement-strategies/ | The Actuaries Institute’s Superannuation Projections and Disclosure (SPD) Subcommittee designed a projection model to estimate the income that assets would support during retirement for a number of case studies. Here, the SPD Subcommittee reports on its findings.
Experts are thick on the ground these days, sometimes w... | 2023-03-27 20:28:35 | {"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://en.wikipedia.org/wiki/Guarded_Command_Language | # Guarded Command Language
The Guarded Command Language (GCL) is a language defined by Edsger Dijkstra for predicate transformer semantics.[1] It combines programming concepts in a compact way, before the program is written in some practical programming language. Its simplicity makes proving the correctness of program... | 2016-12-08 18:16:30 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 18, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://math.stackexchange.com/questions/1904239/volume-form-on-a-complex-manifold-vs-volume-form-on-the-underlying-real-manifol | # Volume form on a complex manifold vs. volume form on the underlying real manifold
Consider a closed complex manifold $X=(M,J)$ of complex dimension $n$, where $M$ is a real smooth manifold of (real) dimension $2n$ and $J$ an integrable almost complex structure on it.
The holomorphic tangent bundle of $X$ is $T_X\co... | 2022-08-18 14:57:23 | {"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... |
https://dba.stackexchange.com/questions/41992/simple-model-database-transaction-log-full-checkpoint/41994 | # Simple model database transaction log full 'CHECKPOINT'
I have a SQL Server 2012 SP1 database which has a problem that the transaction log is full. It consists of a single data file and a single log file, both about 800MB.
I had 5GB free disk space, and I've enlarged it to 20GB+, just in case there was a disk space... | 2021-04-21 21:12:14 | {"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": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathematica.stackexchange.com/questions/15140/finitefields-package-is-very-slow-any-fast-substitute-for-mathematica?answertab=active | # FiniteFields package is very slow. Any fast substitute for Mathematica?
I want to compute the inverse of matrix, say with dimensions $100 \times 100$, defined over a large finite field extension such as $GF(2^{120})$. I am using the package FiniteFields, but Mathematica's computation time is exponential with respect... | 2015-03-29 19:43:49 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://www.gradesaver.com/textbooks/math/algebra/college-algebra-6th-edition/chapter-p-prerequisites-fundamental-concepts-of-algebra-exercise-set-p-1-page-17/17 | Chapter P - Prerequisites: Fundamental Concepts of Algebra - Exercise Set P.1: 17
10 degrees Celsius
Work Step by Step
Use the formula $$C=\frac{5}{9}(F-32)$$ to convert 50 degrees Fahrenheit temperature to its equivalent temperature on the Celsius scale. Start by substituting 50 for F in the equation $$C=\frac{5}{9... | 2017-05-30 04:06:12 | {"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://im.kendallhunt.com/HS/students/4/2/20/index.html | # Lesson 20
Interpreting Inequalities
• Let’s interpret the meaning of situations with phrases like “at least,” “at most,” and “up to.”
### 20.1: Math Talk: Solving Inequalities
Mentally solve for $$x$$.
• $$5x<10$$
• $$10>6x-2$$
• $$9x<5-23$$
• $$11(x-3)<46-2$$
### 20.2: Checking and Graphing Inequalities
1.... | 2023-02-08 14:45:42 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.prepanywhere.com/prep/textbooks/advanced-functions-nelson/chapters/chapter-1-functions-characteristics-and-properties/materials/chapter-review | Chapter Review
Chapter
Chapter 1
Section
Chapter Review
Solutions 50 Videos
Determine whether each relation is a function, and state its domain and range.
Q1a
Determine whether each relation is a function, and state its domain and range.
\displaystyle 3x^2 + 2y =6
Q1b
Determine whether each relation is a functio... | 2021-04-16 17:19:57 | {"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": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.research-collection.ethz.ch/handle/20.500.11850/398970?show=full | dc.contributor.author
Basso, Giuliano
dc.contributor.supervisor
Lang, Urs
dc.contributor.supervisor
Lytchak, Alexander
dc.contributor.supervisor
Naor, Assaf
dc.date.accessioned
2020-02-17T07:56:46Z
dc.date.available
2020-02-12T16:28:44Z
dc.date.available
2020-02-13T10:26:37Z
dc.date.available
2020-02-16T10:19:00Z
dc.da... | 2021-10-23 05:40:58 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://cstheory.stackexchange.com/questions/42492/3-dimensional-matching-shortest-solution-np-hard/42493 | 3 dimensional matching shortest solution NP-hard?
We have array of arbitrary number of elements - 3d vectors with positive integers components - for example
let a=[ [0,1,2], [1,0,2], [1,1,1], [1,2,0 ], [2,0,1 ], [2,1,0 ] ];
And we want to remove elements from that list, which have duplicate value on i-th index with... | 2020-08-09 11:40:00 | {"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": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://cms.math.ca/10.4153/CMB-2016-039-2 | location: Publications → journals → CMB
Abstract view
Zero-divisor Graphs of Ore Extensions over Reversible Rings
Published:2016-07-18
Printed: Dec 2016
• Ebrahim Hashemi,
Department of Mathematics, Shahrood University of Technology, , P.O.~Box: 316-3619995161, Shahrood, Iran
• R. Amirjan,
Department of Mathematics,... | 2018-03-19 01:07:07 | {"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://socratic.org/questions/57e4280f11ef6b05c44152fc | # 2.55xx10^24 titanium atoms are cast into a cube that has a mass of 202.5*g. If the density of titanium metal is rho=4.60*g*cm^-3, what is the edge length of the cube?
Sep 22, 2016
The length of the metal cube $=$ ""^3sqrt(45.0*cm^3) $=$ ??cm
#### Explanation:
If there are $2.55 \times {10}^{24}$ $\text{titanium a... | 2019-11-20 19:02:51 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 34, "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://robotics.stackexchange.com/questions/22247/looking-for-an-online-map-pgm-repository | # looking for an online map pgm repository
I am currently writing a path planner. I wanted to test the planner for various scenarios.
I was wondering if there is a repository wherein I can find a number of pgm (+yaml) map files.
I came across this link but the two maps mentioned in the answer are very huge. Also, th... | 2021-09-19 22:32:07 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.physicsforums.com/threads/density-of-states-summation.174346/ | # Density of states summation?
1. Jun 18, 2007
### pivoxa15
If an infinite discrete sum is calculated via integrating over a density of states factor, is this integral an approximation to the discrete sum? i.e the discrete sums could be partition functions or Debye solids.
2. Jun 28, 2007
### Mr.Brown
you mean li... | 2017-02-25 02:50:56 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "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/nmtc-inter-level-problem-2/ | # Trio Of Primes
Number Theory Level 1
How many natural numbers $$n$$ exist such that the following are all primes?
$3n-4 \qquad 4n-5 \qquad 5n-3$
× | 2016-10-24 14:17:13 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |