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https://www.esaral.com/tag/biot-savarts-law/ | Magnetic Effect of Electric Current Class 12 Notes | Introduction
Class 9-10, JEE & NEET
The electricity and magnetism are linked to each other and it is proved when the electric current passes through the copper wire, it produces a magnetic effect. The electromagnetic effects first time noticed by Hans Christian Oer... | {"extraction_info": {"found_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/belief-network-problem.198639/ | # Belief network problem
1. Nov 16, 2007
### sensitive
I am having problem solving this exercise. The problem actually comes with a diagram but I do not know and I do not think i can draw it in the forum. The exercise is based on car starting(Heckerman 1995)
Since I can't draw the network diagram here but values of... | {"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://brilliant.org/problems/shenanigans-2/ | # Constant Shenanigans!
Geometry Level 4
$\large \sum_{k=1}^{1000} \sqrt{\sqrt[\phi]{(k^{1 + \sqrt{5}})}\left(\dfrac{\left[(1+\sin(k\tau))(1-\sin(k\tau)\right]^{\left \lfloor \pi \right \rfloor}}{\left[\frac{1}{2}(e^{ik\tau} + e^{-ik\tau})\right]^{2\left \lfloor e \right \rfloor}}\right)} = \ ?$
Details and Assumpti... | {"extraction_info": {"found_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.scottaaronson.com/blog/?p=981 | ## U. of Florida CS department: let it be destroyed by rising sea levels 100 years from now, not reckless administrators today
Update (4/27): A famous joke concerns an airplane delivered to the US Defense Department in the 1950s, which included a punch-card computer on board. By regulation, the contractor had to prov... | {"extraction_info": {"found_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://cds.ismrm.org/protected/16MProceedings/PDFfiles/2801.html | Defining the baseline functional imaging characteristics of retroperitoneal sarcomas
Jessica M Winfield1,2, Aisha Miah3, Dirk Strauss4, Khin Thway5, Andrew Hayes4, Daniel Henderson3, David J Collins1,2, Nandita M deSouza1,2, Martin O Leach1,2, Sharon L Giles1,2, Veronica A Morgan1,2, and Christina Messiou1,2
1MRI, Roy... | {"extraction_info": {"found_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/251494/kernel-and-image-of-projection-matrix | # Kernel and Image of projection Matrix
This is my HW (Linear algebra 2) and I need to find projection matrix, kernel and image of the projection.
V=$R^2$
So I have: subspace of V
$sp{(2,-3)}$
Than I found the projection matrix is:
$$\begin{matrix} 4/13 & -6/13\\ -6/13 & 9/13 \\ \end{matrix}$$
but now I need to ... | {"extraction_info": {"found_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://worldwidescience.org/topicpages/a/amyloid+fibril+mass-per-length.html | #### Sample records for amyloid fibril mass-per-length
1. Amyloid Fibril Solubility.
Science.gov (United States)
Rizzi, L G; Auer, S
2015-11-19
It is well established that amyloid fibril solubility is protein specific, but how solubility depends on the interactions between the fibril building blocks is not clear. ... | {"extraction_info": {"found_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/photoelectric-question-3.203984/ | Photoelectric question#3
1. Dec 11, 2007
neelakash
1. The problem statement, all variables and given/known data
Why is it that even for incident radiation that is monochromatic,photoelectrons are emitted with a spread of velocities?
2. Relevant equations
3. The attempt at a solution
Possibly, the incident radiati... | {"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.examrace.com/CBSE-UGC-NET/CBSE-UGC-NET-Updates/NEWS-CBSE-NET-Psychology-Paper-3-10th-July-2016-Solved-Paper3-Solutions-at-Youtube-Examrace-Que-51-to-75.htm | CBSE NET Psychology Paper 3 10th July 2016 Solved Paper3 Solutions at Youtube Examrace Que.51 to 75
()
CBSE NET July 2016 psychology paper-3 detailed solutions will be made available at Youtube Examrace channel and for full Examrace CBSE (UGC) NET-JRF Psychology Series visit www.examrace.com. For complete detailed so... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 1, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.physicsforums.com/threads/electron-in-g-orbit.71992/ | # Electron in G orbit
1. Apr 18, 2005
### yogi
Does an electron in circular earth orbit emit radiation?
2. Apr 18, 2005
### Garth
A good question, similar to the question: "Does an electron 'sitting' on a laboratory bench emit radiation as by the equivalence principle it is accelerating upwards at an acceleration... | {"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://tex.stackexchange.com/questions/166561/difficulties-with-chicago-citation-not-change-authors-name | # Difficulties with chicago citation - NOT change author's name
In this site, it is described how chicago citation should look like; the date of the book, for example, are at the end. Also, as far as I know, when you cite in the text the citation isn't included in the main text but it goes as a footnote at the end of ... | {"extraction_info": {"found_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://randommathgenerator.com/2020/07/05/the-imitation-game/ | # The Imitation Game
The paper that I’m reviewing today is Computing Machinery and Intelligence by Alan Turing. It is one of the most important papers in the history of computation, and has hence shaped the world as we know it today. It could perhaps be called more an essay than a paper; this claim will hopefully beco... | {"extraction_info": {"found_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": 12, "mimetex.cgi": 0, "/images/ma... |
http://math.stackexchange.com/users/44877/lost1?tab=activity&sort=all&page=2 | Lost1
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Oct 24 comment 3 contestants choosing a smallest number to win a car I got the same numbers, so does this mean this game has no nash equilibrium? Oct 24 comment 3 contestants choosing a smallest number to win a car I am slightly confused.... | {"extraction_info": {"found_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://tex.stackexchange.com/questions/144490/how-do-i-typeset-a-tenfold-powering-a-tower-of-powers-with-latex | # How do I typeset a tenfold powering (a tower-of-powers) with LaTeX?
How do I write x^x^x^x^x^x^x^x^x^x?
My LaTeX distribution doesn't wanna eat it, it stops swallowing stuff at the double power x^x^x. What I'm aiming at is essentially building a telescope out of X's stacked on top of each other. Don't ask, that's m... | {"extraction_info": {"found_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": 1, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://www.edurite.com/kbase/answers-to-logical-math-questions | #### • Class 11 Physics Demo
Explore Related Concepts
# Answers to Logical Math Questions
Maths is a difficult subject for some of the student, these can be overcome by making use of practicing of solving puzzles, worksheets, exercise, etc..Solving logical math questions improves the math skill level among students.... | {"extraction_info": {"found_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://15418.courses.cs.cmu.edu/spring2014/lecture/basicarch | Lecture 2 : A Modern Multi-Core Processor
arsenal
1. Single-instruction-stream performance topped out because the optimizations have gotten better and better over time, to the point where no significant improvement is really possible. In instruction sets where many instructions are dependent on previous instructions, ... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.mersenneforum.org/showthread.php?s=8078fd0f612661a839942348d760f7ae&t=16473 | mersenneforum.org P-1 discussion
Register FAQ Search Today's Posts Mark Forums Read
2012-01-24, 14:36 #1 kladner "Kieren" Jul 2011 In My Own Galaxy! 22×2,539 Posts P-1 discussion Code: Sending result to server: UID: flashjh/P1Main, M51879281 completed P-1, B1=505000, B2=10352500, E=12, We4: 3E947A63 [DIGRESS]I d... | {"extraction_info": {"found_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://tlu.tarilabs.com/cryptography/building-on-bulletproofs/link.html | # Building on Bulletproofs
Cathie Yun
Cryptographer
## Summary
In this post Cathie explains the basics of the Bulletproofs zero knowledge proof protocol. She then goes further to explain specific applications built on top of Bulletproofs, which can be used for range proofs or constraint system proofs. The constraint... | {"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://fearlessmath.net/mod/page/view.php?id=60 | ## Video and Examples
Area is the number unit squares that fit inside a figure. A unit square is a square that is one unit long by one unit wide where the unit of length can be millimeters, inches, feet, miles, etc. To find the area of a rectangle, you need to imagine it being cut into its unit squares, and then coun... | {"extraction_info": {"found_math": true, "script_math_tex": 4, "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.simonsfoundation.org/event/cca-seminar-series-anatoly-spitkovsky/ | # CCA Seminar Series: Anatoly Spitkovsky
• Speaker
• Anatoly Spitovsky, Ph.D.Professor, Department of Astrophysical Sciences, Princeton University
Date & Time
Title: Particle acceleration in astrophysical shocks: lessons from kinetic simulations.
Abstract: Shocks in low density plasmas (so-called “collisionless shoc... | {"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://indico.cern.ch/event/507875/contributions/2200139/ | # Strong and Electroweak Matter 2016
Jul 11 – 15, 2016
University of Stavanger
Europe/Oslo timezone
## QCD critical point and thermal photons
Jul 13, 2016, 2:45 PM
30m
Ø-110 (University of Stavanger)
### Ø-110
#### University of Stavanger
Arne Rettedal building
Talk
### Speaker
Akihiko Monnai (Institut de Physi... | {"extraction_info": {"found_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://ocw.library.nenu.edu.cn/course/view.php?id=248 | ## 主题目录
### Course Description
In this course students will learn about Noetherian rings and modules, Hilbert basis theorem, Cayley-Hamilton theorem, integral dependence, Noether normalization, the Nullstellensatz, localization, primary decomposition, DVRs, filtrations, length, Artin rings, Hilbert polynomials, tenso... | {"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://byjus.com/ncert-solutions-class-2-maths-chapter-15-how-many-ponytails/ | # NCERT Solutions For Class 2 Maths Chapter 15 How Many Ponytails?
Addition of numbers plays an important role not only in Mathematics but also in daily life. NCERT Solutions for Class 2 Maths Chapter 15 How Many Ponytails?, will educate kids about the addition of numbers. Here we provide you with the most detailed NC... | {"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://tex.stackexchange.com/questions/44271/multline-inside-an-item/44272 | # multline inside an item
Is there a way to use a multline inside an \item element of enumerate WITHOUT a new line between the index of list and the formula?
\begin{enumerate}[i.]
\item $checkorder( (\lambda,\lambda,\lambda) ) \triangleq true$
\item \begin{multline*}$$checkorder( (a,(u,U_1,U_2),(v,V_1,V_2)) ) \trian... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 2, "mathjax_display_tex": 2, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.physicsforums.com/threads/force-needed-to-make-a-disk-climb-a-step.230010/ | # Force needed to make a disk climb a step
• Start date
• #1
5
0
[SOLVED] Force needed to make a disk climb a step
Howdy ho. First off, let me say that I'm a newbie here, and I'm not sure if this is the correct place to put this doubt. Here's the deal:
## Homework Statement
We have a disk, and we need to know the f... | {"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://mathematica.stackexchange.com/questions/15552/how-to-set-default-save-directory-for-notebooks | How to set default save directory for notebooks?
Based on certain previous questions, I figured that if my NotebookBrowseDirectory looked like this
Options[\$FrontEnd, NotebookBrowseDirectory]
{NotebookBrowseDirectory -> "/Users/brian/mma"}
then the OSX front end would default to saving new notebooks there. Instead... | {"extraction_info": {"found_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://hea-www.harvard.edu/astrostat/slog/groundtruth.info/AstroStat/slog/2008/parametric-bootstrap-vs-nonparametric-bootstrap/index.html | #### Parametric Bootstrap vs. Nonparametric Bootstrap
The following footnotes are from one of Prof. Babu’s slides but I do not recall which occasion he presented the content.
– In the XSPEC packages, the parametric bootstrap is command FAKEIT, which makes Monte Carlo simulation of specified spectral model.
– XSPEC do... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://www.purplemath.com/learning/viewtopic.php?p=4980 | ## Solving an equation with logarithms
Complex numbers, rational functions, logarithms, sequences and series, matrix operations, etc.
phiv
Posts: 2
Joined: Fri Nov 05, 2010 1:13 am
Contact:
### Solving an equation with logarithms
Hello,
I am having trouble isolating W in the following equation, because it is outside... | {"extraction_info": {"found_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": 2, "/images/mat... |
http://www.ck12.org/chemistry/Nonreversible-Reactions/lesson/Nonreversible-Reactions/r8/ | <meta http-equiv="refresh" content="1; url=/nojavascript/">
You are viewing an older version of this Concept. Go to the latest version.
# Nonreversible Reactions
Explores the factors that cause some reactions to be driven to completion instead of reaching equilibrium.
%
Progress
Progress
%
Nonreversible Reactions
Wh... | {"extraction_info": {"found_math": true, "script_math_tex": 6, "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://arxiv-export-lb.library.cornell.edu/abs/2208.06306?context=cs.CC | cs.CC
(what is this?)
# Title: Wasserstein Complexity of Quantum Circuits
Abstract: Given a unitary transformation, what is the size of the smallest quantum circuit that implements it? This quantity, known as the quantum circuit complexity, is a fundamental property of quantum evolutions that has widespread applicat... | {"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://math.stackexchange.com/questions/426932/why-are-vandermonde-matrices-invertible | # Why are Vandermonde matrices invertible?
A Vandermonde-matrix is a matrix of this form:
$$\begin{pmatrix} x_0^0 & \cdots & x_0^n \\ \vdots & \ddots & \vdots \\ x_n^0 & \cdots & x_n^n \end{pmatrix} \in \mathbb{R}^{(n+1) \times (n+1)}$$.
condition ☀ : $\forall i, j\in \{0, \dots, n\}: i\neq j \Rightarrow x_i \neq x_... | {"extraction_info": {"found_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.nag.com/numeric/cl/nagdoc_latest/html/s/s10acc.html | # NAG C Library Function Document
## 1Purpose
nag_cosh (s10acc) returns the value of the hyperbolic cosine, $\mathrm{cosh}x$.
## 2Specification
#include #include
double nag_cosh (double x, NagError *fail)
## 3Description
nag_cosh (s10acc) calculates an approximate value for the hyperbolic cosine, $\mathrm{cosh}... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 29, "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.mtosmt.org/issues/mto.04.10.4/mto.04.10.4.gauldin.html | # Keynote Address, Twenty-seventh Annual SMT Conference in Seattle, WA, “Tragic Love and Musical Memory”
## Robert Gauldin
Volume 10, Number 4, December 2004
[1] Before commencing this curious discourse on love, memory, and music, I would like to thank Jonathan Bernard and the SMT Program Committee for extending to ... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 5, "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/heat-capacity-of-air-at-constant-volume.188252/ | # Heat Capacity of Air at Constant Volume
1. ### s.p.q.r
25
Hi
I have an ongoing dispute with my mate on this one, please help to clarify this before I open up a can of whoop ass on that sorry mo-fo.
300 litres of air are compressed into a 3 litre tank. What is the heat capacity of this air?
2. ### Hootenanny
9,6... | {"extraction_info": {"found_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://brilliant.org/problems/inspired-by-none/ | # One two three four five
Algebra Level pending
$\large \sum_{n=0}^\infty \frac1{(n+1)(n+2)(n+3)(n+4)(n+5)}$
If the series above can be written as $$\frac 1A$$, find the value of $$A$$.
× | {"extraction_info": {"found_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://dtubbenhauer.com/research.html | Research subjects
5. Higher category theory (especially for $n=2$) and categorification.
In short: My main research interest is $2$-categorical representation theory (of e.g. categorified Coxeter groups), categorification (of e.g. quantum groups) and its applications in representation theory, low dimensional topology ... | {"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": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://jmlr.org/papers/v21/18-101.html | ## Regularized Gaussian Belief Propagation with Nodes of Arbitrary Size
Francois Kamper, Sarel J. Steel, Johan A. du Preez; 21(101):1−42, 2020.
### Abstract
Gaussian belief propagation (GaBP) is a message-passing algorithm that can be used to perform approximate inference on a pairwise Markov graph (MG) constructed ... | {"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.transtutors.com/questions/question-mannisto-inc-uses-the-fifo-inventory-cost-flow-assumption-in-a-year-of-risi-4293750.htm | # Question Mannisto, Inc., uses the FIFO inventory cost flow assumption. In a year of rising costs and
Question
Mannisto, Inc., uses the FIFO inventory cost flow assumption. In a year of rising costs and prices, the firm reported net income of $213,639 and average assets of$1,475,450. If Mannisto had used the LIFO co... | {"extraction_info": {"found_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/213739/special-differential-equation-continued/213751 | # Special Differential Equation (Continued)
As a second part of my problem I end up with the differential equation looking like: $$\frac{d^2 y}{dx^2} + \frac{1}{x}\frac{dy}{dx} - \frac{a}{x^2}y - \frac{c}{x}y + b x e^{-x^2/p^2}y - d e^{-x^2/p^2}y = 0.$$ It is more complex that my previous question. Can someone suggest... | {"extraction_info": {"found_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://hal.archives-ouvertes.fr/hal-01518282 | # Testing the universality of the star formation efficiency in dense molecular gas
3 FORMATION STELLAIRE 2017
LAB - Laboratoire d'Astrophysique de Bordeaux [Pessac]
Abstract : Recent studies have suggested that star formation (SF) in dense gas may be governed by essentially the same law in Galactic clouds and external... | {"extraction_info": {"found_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://usm.uni-muenchen.de/CAST/cms/index.php/16-research/137-active-galactic-nuclei-the-galactic-center | ### The life cycle of starbursting circumnuclear discs
High-resolution observations from the submm to the optical wavelength regime resolve the central few 100 pc region of nearby galaxies in great detail. They reveal a large diversity of features: thick gas and stellar discs, nuclear starbursts, inflows and outflows,... | {"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.lmfdb.org/L/2/75/15.14 | ## Results (1-50 of at least 1000)
Next
Label $\alpha$ $A$ $d$ $N$ $\chi$ $\mu$ $\nu$ $w$ prim arith $\mathbb{Q}$ self-dual $\operatorname{Arg}(\epsilon)$ $r$ First zero Origin
2-75-25.6-c1-0-2 $0.773$ $0.598$ $2$ $3 \cdot 5^{2}$ 25.6 $$1.0 1 -0.239 0 2.65124 Modular form 75.2.g.c.31.3 2-75-25.6-c1-0-0 0.773 0.598 2 3... | {"extraction_info": {"found_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://tex.stackexchange.com/questions/79468/adding-a-chapter-title-for-indices-multind-on-the-same-page-as-the-first-index | # Adding a chapter title for indices (multind) on the same page as the first index is printed
I am trying to add a chapter title 'Indices' before the first multind index is printed. However, printindex flushes the page so if I do it, I will get the title, rest of the page empty, and the first index. I would like to ha... | {"extraction_info": {"found_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://science.sciencemag.org/content/147/3665/1571.2 | Reports
# Iron Accumulation in Cockerel Plasma after Estrogen: Relation to Induced Phosphoprotein Synthesis
See allHide authors and affiliations
Science 26 Mar 1965:
Vol. 147, Issue 3665, pp. 1571-1572
DOI: 10.1126/science.147.3665.1571-a
## Abstract
In cockerels a single injection of estrogen causes a rise of se... | {"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.ncbi.nlm.nih.gov/pubmed/6360923 | Format
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Int J Obes. 1983;7(6):549-53.
# A double-blind evaluation of evening primrose oil as an antiobesity agent.
### Abstract
Evening Primrose Oil (EPO) is a naturally occurring rich source of essential fatty acids, especially linoleic and gamma-linolenic acid. It has been suggested that it has ... | {"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://worldwidescience.org/topicpages/p/potentiates+locomotor+sensitization.html | #### Sample records for potentiates locomotor sensitization
1. Differential housing and novelty response: Protection and risk from locomotor sensitization.
Science.gov (United States)
Garcia, Erik J; Haddon, Tara N; Saucier, Donald A; Cain, Mary E
2017-03-01
2. Locomotor sensitization to ethanol: Contribution of b... | {"extraction_info": {"found_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://inverseprobability.com/talks/towards-machine-learning-systems-design.html | at Sheffield ML Research Network Launch on May 2, 2018 [jupyter][google colab][reveal]
Neil D. Lawrence, Amazon Cambridge and University of Sheffield
### What is Machine Learning?
What is machine learning? At its most basic level machine learning is a combination of
[\text{data} + \text{model} \xrightarrow{\text{com... | {"extraction_info": {"found_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": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.precisionmicrodrives.com/content/ab-025-using-spice-to-model-dc-motors/ | # AB-025 : Using SPICE to Model DC Motors
### Introduction
SPICE (Simulation Program with Integrated Circuit Emphasis) is an open source program for simulating electrical circuits. It enables engineers to model the behaviour of their circuits in software, which reduces prototyping costs and time.
As DC motors have m... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 2, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://math.stackexchange.com/users/21231/jalaj?tab=activity | Jalaj
Reputation
361
Top tag
Next privilege 500 Rep.
Access review queues
Sep24 awarded Autobiographer Dec14 awarded Yearling Mar20 accepted Is it mathematically correct to write $a \mod n \equiv b$? Mar18 comment Why are all the interesting constants so small? Waow. What a number! Mar18 answered Limit of $\arctan(x)/... | {"extraction_info": {"found_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://pbelmans.ncag.info/blog/2018/01/28/fortnightly-links-54/ | • Alice Rizzardo and Michel Van den Bergh: A $k$-linear triangulated category without a model gives an example of (drumroll...) a $k$-linear triangulated category without a model, i.e. without an enhancement (as a dg category, or equivalently an $\mathrm{A}_\infty$-category), where $k$ is a field.
It nicely complement... | {"extraction_info": {"found_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://huggingface.co/docs/transformers/v4.20.1/en/model_doc/dit | Transformers documentation
DiT
Join the Hugging Face community
to get started
# DiT
## Overview
DiT was proposed in DiT: Self-supervised Pre-training for Document Image Transformer by Junlong Li, Yiheng Xu, Tengchao Lv, Lei Cui, Cha Zhang, Furu Wei. DiT applies the self-supervised objective of BEiT (BERT pre-trai... | {"extraction_info": {"found_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://support.bioconductor.org/p/100087/ | Question: lfcshrink and rlog take forever to compute with a DESeqDataSet with many genotypes and conditions
0
22 months ago by
pecot0
pecot0 wrote:
Hi,
I'm using deseq2 for a RNAseq experiment with 2 genotypes and 5 conditions (2 replicates for each combination of genotype and condition). When I use the deseq command... | {"extraction_info": {"found_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://open.kattis.com/contests/enxgzn/problems/sidewayssorting | Hide
# Problem CSideways Sorting
We are so accustomed to reading strings from left to right, it can be a little difficult to think of strings that go right to left or even vertically. Here’s your chance to get some practice.
## Input
Input consists of up to $100$ test cases. Each test case starts with a line contai... | {"extraction_info": {"found_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://geoscien.neigae.ac.cn/CN/10.13249/j.cnki.sgs.1983.04.361 | • 论文 •
### 晚全新世以来江淮之间湖泊的变迁
1. 南京师范学院地理系
• 出版日期:1983-07-20 发布日期:1983-07-20
### A SKETCH OF THE TRANSITION OF THE LAKES BETWEEN THE YANGTZE RIVER AND THE HUAIHE IN THE LATE PERIOD
Pan Fengying
1. Nanjing Teachers College
• Online:1983-07-20 Published:1983-07-20
Abstract: The region between the Yangtze river and the... | {"extraction_info": {"found_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.iacr.org/news/legacy.php?p=detail&id=2228 | International Association for Cryptologic Research
# IACR News Central
You can also access the full news archive.
Further sources to find out about changes are CryptoDB, ePrint RSS, ePrint Web, Event calender (iCal).
2013-03-13
06:17 [Pub][ePrint]
We present an efficient key wrapping scheme that uses a single wide... | {"extraction_info": {"found_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://bkms.kms.or.kr/journal/view.html?doi=10.4134/BKMS.b160551 | - Current Issue - Ahead of Print Articles - All Issues - Search - Open Access - Information for Authors - Downloads - Guideline - Regulations ㆍPaper Submission ㆍPaper Reviewing ㆍPublication and Distribution - Code of Ethics - For Authors ㆍOnlilne Submission ㆍMy Manuscript - For Reviewers - For Editors
On a class of lo... | {"extraction_info": {"found_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://aimsciences.org/article/doi/10.3934/dcds.2017239 | # American Institute of Mathematical Sciences
November 2017, 37(11): 5503-5520. doi: 10.3934/dcds.2017239
## Eulerian dynamics with a commutator forcing Ⅱ: Flocking
1 Department of Mathematics, Statistics, and Computer Science, M/C 249, University of Illinois, Chicago, IL 60607, USA 2 Center for Scientific Computa... | {"extraction_info": {"found_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.aot-math.org/&url=http:/www.aot-math.org/article_53654.html | # Linear preservers of two-sided right matrix majorization on $\mathbb{R}_{n}$
Document Type: Original Article
Authors
Rafsanjan University of Vali Asr
Abstract
A nonnegative real matrix $R\in \textbf{M}_{n,m}$ with the property that all its row sums are one is said to be row stochastic. For $x, y \in \mathbb{R}_{... | {"extraction_info": {"found_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.preprints.org/manuscript/201710.0024/v1 | Preprint Article Version 1 This version is not peer-reviewed
# Evolution of the Uranium Isotopic Compositions of the Groundwater and Rock in the Sandy-Clayey Aquifer
Version 1 : Received: 4 October 2017 / Approved: 4 October 2017 / Online: 4 October 2017 (16:45:54 CEST)
A peer-reviewed article of this Preprint also ... | {"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.ncbi.nlm.nih.gov/pubmed/10879542?dopt=Abstract | Format
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Nature. 2000 Jun 22;405(6789):974-8.
# Compromised HOXA5 function can limit p53 expression in human breast tumours.
### Author information
1
Breast Cancer Program, Johns Hopkins Oncology Center, Baltimore, Maryland 21231, USA.
### Abstract
Expression of the p53 gene protects cells agains... | {"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://byjus.com/question-answer/the-number-of-solutions-of-the-equation-x-y-z-10-where-x-y-and/ | Question
# The number of solutions of the equation $$x+y+z=10$$ where $$x,y$$ and $$z$$ are positive integers
A
36
B
55
C
72
D
45
Solution
## The correct option is A $$36$$Given equation is $$x+y+z=10$$where $$x,y$$ and $$z$$ are positive integersFor any pair of positive integers n and k, the number of k-tuples of ... | {"extraction_info": {"found_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://cs.stackexchange.com/questions/27707/what-does-non-pathological-data-mean | # What does "non-pathological data" mean?
I took an algorithms class on Coursera. The professor in the video about hash tables said that
What's true is that for non-pathological data, you will get constant time operations in a properly implemented hash table.
What does "non-pathological data" mean? Can you give some... | {"extraction_info": {"found_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://fearlessmath.net/mod/page/view.php?id=112 | ## Find the Missing Angle on a Line
Find the missing angle on a line. Sample:
Take a look at these angles. Notice that they form a straight angle. Find the missing angle.
Duane Habecker, 03/14/2010, Created with GeoGebra
# Self-check
Q1: What is the measure of the missing angle?
Q2: What is the measure of the mis... | {"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://robotics.stackexchange.com/tags/visual-servoing/hot?filter=all | # Tag Info
7
The following diagram (1) illustrates a method by which a Lancaster navigator determined airplane height above the water of a lake. Such a method is useful if the ground lacks features needed for other forms of Visual Servoing. A program I saw about mission Chastise showed one spotlight shining green and... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://mathoverflow.net/questions/30536/t-structures-and-higher-categories | # t-structures and higher categories?
I'm curious to find out where the viewpoint of higher categories may be useful so here is a somewhat vague question (which may or may not have a reasonable answer).
Given a triangulated category, one can consider the set of all possible t-structures on it. Simple examples where o... | {"extraction_info": {"found_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.seykota.com/rm/Bernoulli_approach/index.htm | The Bernoulli Approach
Using The Bernoulli Principle to Explain Lift
"It would be better for the true physics
if there were no mathematicians on earth."
Daniel Bernoulli (Feb 8, 1700 - Mar 17, 1782)
Daniel Bernoulli was the son and nephew of the respected mathematicians Johann Bernoulli and Jakob Bernoulli. He was... | {"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://chipdelmal.github.io/artsci/2019-10-10-ColorFingerprint.html | # Intro
This was the original application of the dominant color detection described in my “Color Palette Extractor” blog post. These scripts take a video (a movie, ideally), and extract the dominant colors every n frames of the movie, to create a “fingerprint” of the colors used throughout the movie.
# CodeDev
## Re... | {"extraction_info": {"found_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://forum.bebac.at/forum_entry.php?id=17713&category=22&order=time | ## Initial sample size guess for the Potvin methods [Two-Stage / GS Designs]
Hi Hötzi,
are you sure we are on the same page?
I am talking about the initial guess for the sample size iteration, not the sample size itself.
Pass or fail!
ElMaestro | {"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://scholars.bgu.ac.il/display/n25174852 | # RELICS: Strong-lensing Analysis of the Massive Clusters MACS J0308.9+2645 and PLCK G171.9\minus40.7 Academic Article
•
• Overview
•
### abstract
• Strong gravitational lensing by galaxy clusters has become a powerful tool for probing the high-redshift Universe, magnifying distant and faint background galaxies. Rel... | {"extraction_info": {"found_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/work-negative-sign.574657/ | # Work negative sign
1. Feb 5, 2012
### xzibition8612
1. The problem statement, all variables and given/known data
See attachment
2. Relevant equations
3. The attempt at a solution
Why is it -umg(50)? Why negative? Also I think this has something to do with conservative force and friction, and I'm very confused o... | {"extraction_info": {"found_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://tex.stackexchange.com/questions/167029/problems-with-labeling-of-chapter-0?answertab=oldest | Problems with labeling of Chapter 0
I'm writing a final year project and I would like to start it with a "Preliminaries" chapter, whose number I'd like to be 0. I do the trivial \setcounter{chapter}{-1}, which makes the number of the chapter 0, but it also makes all formulae and all figures in the chapter be labeled a... | {"extraction_info": {"found_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://gm0.copperforge.cc/en/latest/docs/power-and-electronics/servo-guide/choosing-servo.html | # Choosing a Servo#
For many applications, you can just use one of the three common in FTC, REV Smart Servo or goBILDA Dual Mode Servo (Torque), or goBILDA Dual Mode Servo (Speed) However, sometimes these are not enough. Here are some important features to consider when selecting a .
## Servo Type: Regular or Continu... | {"extraction_info": {"found_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://okayama.pure.elsevier.com/en/publications/measurement-of-the-muon-neutrino-charged-current-single-%CF%80-product | # Measurement of the muon neutrino charged-current single π+ production on hydrocarbon using the T2K off-axis near detector ND280
The T2K Collaboration
Research output: Contribution to journalArticlepeer-review
8 Citations (Scopus)
## Abstract
We report the measurements of the single and double differential cross ... | {"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://cdsweb.cern.ch/collection/SHiP%20Papers?ln=es | # SHiP Papers
Measurement of the muon flux from 400 GeV/c protons interacting in a thick molybdenum/tungsten target / SHiP Collaboration The SHiP experiment is proposed to search for very weakly interacting particles beyond the Standard Model which are produced in a 400 GeV/$c$ proton beam dump at the CERN SPS. About... | {"extraction_info": {"found_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://edurev.in/course/quiz/attempt/18484_Test-Magnetostatics-2/393c2c59-24ba-4705-8823-d13fc43acf6a | Test: Magnetostatics- 2
20 Questions MCQ Test Topicwise Question Bank for Electrical Engineering | Test: Magnetostatics- 2
Description
Attempt Test: Magnetostatics- 2 | 20 questions in 60 minutes | Mock test for Electrical Engineering (EE) preparation | Free important questions MCQ to study Topicwise Question Bank fo... | {"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/191473/using-linearsolve-instead-of-inverse-does-not-give-a-good-enough-precision | # Using LinearSolve instead of Inverse does not give a good enough precision
If I want to calculate $$B^{-1}A$$, then instead of using Inverse, I should in theory just be able to use LinearSolve[B,A].
Now if I have $$B$$ is positive definite and symmetric, then $$A^TB^{-1}A$$ should also be PD and Symmetric. But it's... | {"extraction_info": {"found_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://eprints.lancs.ac.uk/id/eprint/63712/ | # Search for the associated production of a b quark and a neutral supersymmetric Higgs boson which decays to tau pairs
Collaboration, D0 and Bertram, Iain and Borissov, Guennadi and Fox, Harald and Williams, Mark and Ratoff, Peter and Love, Peter and Sopczak, Andre (2010) Search for the associated production of a b qu... | {"extraction_info": {"found_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://brilliant.org/discussions/thread/sophie-germains-identitydivisibilitynumber-theory/ | # Sophie Germain’s identity(divisibility,number theory)
The most useful formula in competitions is the fact that $a-b | a^n-b^n$ for all n, and $a+b | a^n+b^n$ for odd n.We have $a^2-b^2=(a-b)(a+b)$. But a sum of two squares such as $x^2 + y^2$ can only be factored if 2xy is also a square. Here you must add and subtra... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 20, "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/ma... |
https://root.cern.ch/doc/master/classTTreeCache.html | ROOT master Reference Guide
TTreeCache Class Reference
A cache to speed-up the reading of ROOT datasets.
A cache to speed-up the reading of ROOT datasets
Motivation: why having a cache is needed?
When writing a TTree, the branch buffers are kept in memory. A typical branch buffersize (before compression) is typic... | {"extraction_info": {"found_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://socratic.org/questions/how-do-you-simplify-3a-2-2a-3-2 | Algebra
Topics
# How do you simplify (-3a^2)(2a^3)^2?
Sep 23, 2015
The answer is $- 12 {a}^{8}$.
#### Explanation:
$\left(- 3 {a}^{2}\right) {\left(2 {a}^{3}\right)}^{2}$
Apply exponent rule ${\left({a}^{m}\right)}^{n} = \left({a}^{m \cdot n}\right)$.
Simplify ${\left(2 {a}^{3}\right)}^{2}$ to $\left(4 {a}^{6}\r... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 12, "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.physicsforums.com/threads/finite-differencing-dynamic-boundary.826108/ | # Finite Differencing Dynamic Boundary
1. Aug 3, 2015
### joshmccraney
Hi PF!
I'm using a finite differencing scheme to solve the following $$h_t = h h_{zz} + 2h_z^2$$ where the subscripts denote partial derivatives. The difficulty I'm facing is the boundary conditions are dynamic, and move with time $t$. This make... | {"extraction_info": {"found_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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://edoc.unibas.ch/71617/ | # Spin-polarized electrons in monolayer MoS
Roch, Jonas Gaël. Spin-polarized electrons in monolayer MoS. 2019, Doctoral Thesis, University of Basel, Faculty of Science.
Preview
PDF
37Mb
Official URL: http://edoc.unibas.ch/diss/DissB_13264
## Abstract
Moore's law has predicted feature sizes in the semiconductor i... | {"extraction_info": {"found_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://ltwork.net/solve-49x-9-equals-49x-83-does-an-equation-have-one-solution--2964390 | # Solve 49x + 9 equals 49x + 83. does an equation have one solution, no solution, or infinitely many solutions? write two
###### Question:
solve 49x + 9 equals 49x + 83. does an equation have one solution, no solution, or infinitely many solutions? write two equations in one variable that have the same number of solu... | {"extraction_info": {"found_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/find-the-magnitude-of-the-velocity-vector-on-impact.269403/ | # Find the magnitude of the velocity vector on impact
1. Nov 4, 2008
### ilovedeathcab
(resolved) find the magnitude of the velocity vector on impact
Thelma and Louise drive their '66 T-Bird convertible off a cliff. They are going 25.9 m/s and the cliff is 97 meters high. Find the magnitude of their velocity vector... | {"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://hackage.haskell.org/package/concurrent-machines-0.3.0/docs/Data-Machine-Concurrent-Scatter.html | concurrent-machines-0.3.0: Concurrent networked stream transducers
Data.Machine.Concurrent.Scatter
Description
Routing for splitting and merging processing pipelines.
Synopsis
# Documentation
scatter :: MonadBaseControl IO m => [MachineT m k o] -> MachineT m k o Source #
Produces values from whichever source Mac... | {"extraction_info": {"found_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://mathhelpforum.com/calculus/142453-rotated-about.html | # Math Help - Rotated about the...
Okay so I'm having trouble formulating this integral. The region is bounded by:
${x}^{2}-{y}^{2}=7$ and $x=4$
rotated about: $y=5$
I tried using shells.. It didn't really work for me
Thanks,
CC
2. Originally Posted by CalculusCrazed
Okay so I'm having trouble formulating this int... | {"extraction_info": {"found_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": 20, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://www.physicsforums.com/threads/a-problem-about-logarithmic-inequality.874512/ | # A problem about logarithmic inequality
Tags:
1. Jun 5, 2016
### Ashes Panigrahi
1. The problem statement, all variables and given/known data
If a,b,c are positive real numbers such that ${loga}/(b-c) = {logb}/(c-a)={logc}/(a-b)$ then prove that
(a) $a^{b+c} + b^{c+a} + c^{a+b} >= 3$
(b) $a^a + b^b + c^c >=3$
2. R... | {"extraction_info": {"found_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://stats.stackexchange.com/questions/19226/which-statistical-classification-algorithm-can-predict-true-false-for-a-sequence | # Which statistical classification algorithm can predict true/false for a sequence of inputs?
Given a sequence of inputs, I need to determine whether this sequence has a certain desired property. The property can only be true or false, that is, there are only two possible classes that a sequence can belong to.
The ex... | {"extraction_info": {"found_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://math.stackexchange.com/questions/103786/direct-proof-that-pi-is-not-constructible | # Direct proof that $\pi$ is not constructible
Is there a direct proof that $\pi$ is not constructible, that is, that squaring the circle cannot be done by rule and compass?
Of course, $\pi$ is not constructible because it is transcendental and so is not a root of any polynomial with rational coefficients. But is the... | {"extraction_info": {"found_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://hsm.stackexchange.com/users/6045/maxis-jaisi?tab=topactivity | Maxis Jaisi
Questions (3)
12 When did people start accepting $\mathbf{R}^{2}$ as “the plane”? 6 Why didn't Euclid's Elements treat conic sections? 2 Where was it first proved that the cardinality of the continuum equals the cardinality of the power set of the naturals?
Reputation (305)
+20 Where was it first prov... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.nature.com/articles/nature13849?error=cookies_not_supported&code=09b19bfc-1174-48e0-87fc-33ac3e26b772 | # Two families of exocomets in the β Pictoris system
## Abstract
The young planetary system surrounding the star β Pictoris harbours active minor bodies1,2,3,4,5,6. These asteroids and comets produce a large amount of dust and gas through collisions and evaporation, as happened early in the history of our Solar Syste... | {"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://uwaterloo.ca/institute-for-quantum-computing/programs/quantum-innovators/quantum-innovators-computer-science-and-mathematics/schedule | # Schedule
Quantum Innovators in Computer Science and Math will take place is the Lazaridis QNC 0101
Monday, September 18, 2017
9:30 am Registration + coffee 10:00 am Ankit Garg, Microsoft ResearchQuantum marginal problem, invariant theory and derandomization 11:00 am Lidia del Rio, ETH ZürichComposable security in... | {"extraction_info": {"found_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://opentextbc.ca/intermediatealgebraberg/chapter/final-exam-preparation/ | Final Exam Preparation
# Questions from Chapters 1 to 3
1. Evaluate $-2b-\sqrt{b^2-4ac}$ if $a=4,$ $b=-3$ and $c=-1$.
For problems 2 and 3, solve for $x.$
1. $6(3x - 5) = 3\left[4(1 - x) - 7\right]$
2. $\dfrac{x+4}{2}-\dfrac{1}{3}=\dfrac{x+2}{6}$
3. Find the equation that has a slope of $\dfrac{2}{3}$ and passes th... | {"extraction_info": {"found_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/multi-tube-and-fluid-pressure.391094/ | # Multi Tube and fluid pressure
1. Mar 30, 2010
### okgo
1. The problem statement, all variables and given/known data
Now two fluids are placed in the same tube (d). Both sides are open to the atmosphere without pistons. One fluid is water and the other (on top of the water in the left branch of the tube) is an oil ... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://math.stackexchange.com/questions/307309/show-that-a-map-fx-to-y-is-onto-iff-ff-1c-c-for-all-subsets-c-subse | # Show that a map $f:X\to Y$ is onto iff $f(f^{-1}(C))=C$ for all subsets $C\subseteq Y$.
Show that a map $f:X\to Y$ is onto iff $f(f^{-1}(C))=C$ for all subsets $C\subseteq Y$.
My workings so far: Because this is an if and only if proof we need to show it both ways. First let's assume $f$ is onto, that is, $\forall ... | {"extraction_info": {"found_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/44496-find-asymptotes-rational-function.html | # Math Help - Find Asymptotes of Rational Function
1. ## Find Asymptotes of Rational Function
Find the vertical, horizontal and obligue asymptotes, if any, of the rational function below.
F(x) = (x -1)/(x - x^3)
2. (x-1)/(x (1-x^2) = (x-1)/(x (1-x)(1+x) ) = -1/(x (1+x) )
Take note that since we canceled 1-x, then ... | {"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://2022.help.altair.com/2022/activate/business/en_us/topics/reference/oml_language/StatisticalAnalysis/detrend.htm | detrend
Removes the mean or best fit line from a data vector.
R = detrend(x,p)
Inputs
x
The data from which to remove a trend.
Type: double
Dimension: vector | matrix
p
The following options are supported:
'constant' removes the mean
'linear' removes the best fit trend (default)
Type: string
Outputs
R
The result ... | {"extraction_info": {"found_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://patrickmilano.com/2019/08/07/sums-of-two-cubes/ | # Sums of Two Cubes
This post was inspired by a joke from Futurama in which two robots laugh at the fact that their serial numbers (3370318 and 2716057) are both expressible as the sum of two cubes. I’ll explain how to express these numbers as sums of two cubes and discuss some of the relevant mathematics.
## Modular... | {"extraction_info": {"found_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://hsm.stackexchange.com/questions/6721/what-are-philolaos-even-odd-numbers | # What are Philolaos' “even-odd” numbers?
Number, indeed, has two proper kinds (ιδια ειδη), odd and even, and a third mixed together from both, the even-odd(αρτιοπέριττον). Of each of the two kinds there are many shapes, of which each thing itself gives signs.
(Philolaus F5 = Stobaeus, Eclogae 1.21.7c; tr. Huffman 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... |
http://mathhelpforum.com/calculus/4650-integration-substitution.html | # Math Help - Integration by Substitution
1. ## Integration by Substitution
Trying to integrate (arcsin(x))^2/(sqrt 1-x^2)
arcsin x = u and
du=1/(sqrt1-x^2).dx
I am at u^2 * du
I have spent hours on this and it appears obvious but i just don't get it! sorry
Any pointers i would be extremely grateful. I feel its som... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 8, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |