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https://artofproblemsolving.com/wiki/index.php?title=Fermat%27s_Last_Theorem&diff=next&oldid=31193 | # Difference between revisions of "Fermat's Last Theorem"
Fermat's Last Theorem is a recently proven theorem stating that for positive integers with , there are no solutions to the equation .
## History
Fermat's last theorem was proposed by Pierre Fermat in the 1600s in the margin of his copy of the book Arithmetica... | {"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.gradesaver.com/textbooks/math/precalculus/precalculus-6th-edition-blitzer/chapter-10-section-10-6-counting-principles-permutations-and-combinations-exercise-set-page-1103/8 | ## Precalculus (6th Edition) Blitzer
The required solution is $1$
We know that the representation $_{n}{{P}_{r}}$ implies that the number of possible well-organized arrangements of n items is taken r at a time. And the number of possible well-organized arrangements of n items taken r at a time can be evaluated as: $_{... | {"extraction_info": {"found_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.piping-designer.com/index.php/properties/571-weight-density | # Weight Density
Written by Jerry Ratzlaff on . Posted in Classical Mechanics
Weight is a force on an object accelerated by gravity. Density is the ratio of the amount of matter in an object compared to its volume. The basic difference between density and weight is that weight is a measure of the amount of matter 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": 0, "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/39432/use-a-loop-to-generate-a-list-for-another-foreach-loop?answertab=active | # Use a loop to generate a list for another (foreach) loop
Is it possible to use a loop to generate a list for a foreach loop? More specifically I want the following:
Consider the following answer to a question I asked some time ago: http://tex.stackexchange.com/a/38793/4011
It worked very well except if I define \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": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://projecteuler.net/problem=368 | You are currently using a secure connection
## A Kempner-like series
### Problem 368
Published on Sunday, 22nd January 2012, 01:00 am; Solved by 339
The harmonic series 1 +
1 2
+
1 3
+
1 4
+ ... is well known to be divergent.
If we however omit from this series every term where the denominator has a 9 in it, th... | {"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/176786/t2-s-implies-textrankt-textranks | $T^2=S$ implies $\text{rank}T=\text{rank}S$?
Is it true, that if $T$ and $S$ are selfadjoint and positive operators in a finite-dimensional Hilbert space, such that $T^2=S$, that then $\text{rank}T=\text{rank}S$ ?
-
This is true more generally if $T$ is diagonalizable (recall that if $T$ is self-adjoint, it is diago... | {"extraction_info": {"found_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://calculus7.org/2017/09/07/recursive-randomness-of-integers/ | # Recursive randomness of integers
Entering a string such as “random number 0 to 7” into Google search brings up a neat random number generator. For now, it supports only uniform probability distributions over integers. That’s still enough to play a little game.
Pick a positive number, such as 7. Then pick a number 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": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 18, "mimetex.cgi": 0, "/images/ma... |
http://mathhelpforum.com/calculus/134153-d-2y-dx-2-a-print.html | # d^2y/dx^2
• Mar 16th 2010, 04:58 PM
bigwave
d^2y/dx^2
find $d^2y/dx^2$ by implicit differentiation
$3x^2-4y^2=7$
$6x-8yy'=0$
$y'=\frac{6x}{8y}=-\frac{3x}{4y}$
$\frac{d^2y}{dx^2} = \frac{3x(4y')-4y(3)}{16y^2}$
i don't see this moving towards $-\frac{21}{16y^3}$which is the answer(Crying)
• Mar 16th 2010, 05:01 P... | {"extraction_info": {"found_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": 24, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://analytixon.com/2021/08/27/if-you-did-not-already-know-1488/ | Observable Operator Model (OOM)
Observable Operator Models (OOMs) were introduced by Jaeger as a generalization of hidden Markov models (HMMs). The theory of OOMs makes use of both probabilistic and linear algebraic tools, which has an important advantage: using the tools of linear algebra a very simple and efficient l... | {"extraction_info": {"found_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.nag.com/numeric/nl/nagdoc_27/flhtml/e02/e02aff.html | # NAG FL Interfacee02aff (dim1_cheb_glp)
## 1Purpose
e02aff computes the coefficients of a polynomial, in its Chebyshev series form, which interpolates (passes exactly through) data at a special set of points. Least squares polynomial approximations can also be obtained.
## 2Specification
Fortran Interface
Subro... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 69, "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://umj.imath.kiev.ua/article/?lang=en&article=8761 | 2019
Том 71
№ 7
# Functions of shift operator and their applications to difference equations
Chaikovs'kyi A. V.
Abstract
We study the representation for functions of shift operator acting upon bounded sequences of elements of a Banach space. An estimate is obtained for the bounded solution of a linear difference eq... | {"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://mathhelpforum.com/advanced-statistics/135956-poisson-distribution.html | # Math Help - The Poisson Distribution?
1. ## The Poisson Distribution?
Customer arrivals at a checkout counter have a Poisson distribution with an average of 7 per hour. For a given hour, find the probabilities of the following events:
a) Exactly seven customers arrive
b) No more than two customers arrive
c) At lea... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 2, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.physicsforums.com/threads/determine-the-mass-moment-of-inertia-of-a-quarter-of-an-annulus.600344/ | Homework Help: Determine the mass moment of inertia of a quarter of an annulus
1. Apr 25, 2012
jaredogden
1. The problem statement, all variables and given/known data
B.1
The quarter ring has mass m and was cut from a thin uniform plate. Knowing that r1 = 1/2r2 determine the mass moment of inertia of the quarter ri... | {"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://jgaa.info/issues.jsp?volume=20&issue=77 | JGAA Volumes Volume 20, no. 1, 2016 Special Issue on Selected Papers from the Ninth International Workshop on Algorithms and Computation (WALCOM 2015) Guest Editor(s): M. Sohel Rahman and Etsuj Tomita Guest Editors' Foreword Vol. 20, no. 1, pp. 1-2, 2016. Dichotomy Theorems for Homomorphism Polynomials of Graph Classes... | {"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/108155/unbiased-estimator | # Unbiased estimator
Let $X_1, X_2, \dots,X_n$ be the random samples from $f(x,\theta)$ = $\frac{2x}{\theta^2}$, $0 < x < \theta$, $\theta > 0$, then find the Uniformly minimum variance unbiased estimator of $\theta^2$.
-
Do you what you have to find? – Davide Giraudo Feb 11 '12 at 16:09
Do you know that there is 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... |
https://tex.stackexchange.com/questions/131646/algorithm2e-command-algorithm-already-defined | # algorithm2e Command \algorithm already defined
I want to draw vertical line by using \SetAlgoLined, but LaTeX told me Undefined control sequence.
Then I add \usepackage{algorithm2e} to the end of my preamble. Then it said Command\algorithmalready defined.
\usepackage{graphicx}
\usepackage{xthesis}
\usepackage{xtoc... | {"extraction_info": {"found_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://academic.oup.com/brain/article/58/2/311/319876/A-NOTE-ON-THE-DEFINITION-OF-THE-MOTOR-AND-PREMOTOR | ## Abstract
Since the anterior boundary of the excitable precentral cortex cannot be accurately defined in anatomical terms, and since the functions of the anterior part of the excitable cortex obviously differ from those of the posterior, a more precise terminology is needed to designate these functionally discrete r... | {"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://mathhelpforum.com/pre-calculus/18551-need-help-something-fuction.html | # Math Help - Need help with something in a fuction
1. ## Need help with something in a fuction
(Note: When I say delta, I mean the little triangle thing usually meaning change, I can't find the HTML code for it.)
Alright, I have a the function f(x) = x^2+3x-1
I then need to evaluate for f(x+deltax). I know that 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": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 9, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.physicsforums.com/threads/2-unknowns.54394/ | # Homework Help: 2+ unknowns
1. Nov 28, 2004
### Warwick
Well, my physics teacher loves to make his problems hard, so he makes the physics portion of the problem med difficulty but he makes it so you have to solve with more than 1 unknown present. With big problems on forces I get lost in the algebra so.. i'm trying... | {"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://www.physicsforums.com/threads/unerstanding-an-integration-question.754151/ | # Unerstanding an Integration question
1. May 17, 2014
### gingermom
1. The problem statement, all variables and given/known data
for -1≤x≤1, F(x) =∫sqrt(1-t^2) from -1 to x ( sorry don't know how to put the limits on the sign
a. What does F(1) represent geometrically?
b. Evaluate F(1)
c. Find F'(x)
2. Relevant eq... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 2, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.gradesaver.com/textbooks/math/precalculus/precalculus-6th-edition-blitzer/chapter-6-section-6-2-the-law-of-cosines-exercise-set-page-731/49 | ## Precalculus (6th Edition) Blitzer
$63.7\ ft$.
Using the figure as shown in triangle ABC, we have the angle $B=45^\circ$. Using the Law of Cosines, we have $b^2=90^2+60.5^2-2(90)(60.5)cos(45^\circ)\approx4060$ which gives $b\approx63.7\ ft$. | {"extraction_info": {"found_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/338563/what-is-the-best-strategy-and-with-that-strategy-what-is-the-probability-of-wi | # What is the best strategy , and with that strategy what is the probability of winning?
In a dice game, the player rolls three dice simultaneously, and then he may roll two more times any number of his dice(0, 1, 2 or 3). The player wins the game if all three dice have the same number on top after the last roll. What... | {"extraction_info": {"found_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/113982/finding-a-more-efficient-editor-for-collaboration-of-latex-people-and-word-peopl | # Finding a more efficient editor for collaboration of LaTeX people and Word people
Background
My supervisor often wants to edit my papers, so he frequently asks for word version of the paper. I tried latex2rtf, but it is very limited in terms of packages and customized commands. I asked a similar question and found ... | {"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://scholarship.rice.edu/browse?value=Issa%2C+Leila&type=author | Now showing items 1-1 of 1
• #### Source localization in cluttered acoustic waveguides
(2010)
Mode coupling due to scattering by weak random inhomogeneities leads to the loss of coherence in the wave field measured a long distances of propagation. This in turn leads to the deterioration of coherent source localizat... | {"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://community.jmp.com/t5/Discussions/GLM-platform-Nominal-Logistic-does-not-take-random-effects/m-p/4953/highlight/true | Highlighted
Community Trekker
Joined:
Mar 2, 2012
## GLM platform/Nominal Logistic does not take random effects
Hi all,
I want to fit a model with both fixed and random effects but has a binary DV. JMP gives me options for Nominal Logistic / GLM but announces an error when I try to fit the model. Any suggestions ... | {"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://vergil.chemistry.gatech.edu/notes/grpthy-vib/node5.html | As a last example, we will see that we can create SALC's of atomic orbitals in exactly the same way. Consider the case of ethylene (which is still point-group , see Figure 4). The 4 C-H bonds are symmetry-equivalent, so we can make 4 C-H bonding SALC's.
The four non-zero SALC's are:
These are pictured in Figure 4. No... | {"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.exampleproblems.com/wiki/index.php/Four-vector | Four-vector
In relativity, a four-vector is a vector in a four-dimensional real vector space, called Minkowski space. The usage of the four-vector name tacitly assumes that its components refer to a standard basis. The components transform between these bases as the space and time coordinate differences, ${\displaysty... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 43, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://www.physicsforums.com/threads/finding-dhvap-of-water-from-graph-of-ln-p-of-h2o-in-atm-versus-1-t.559564/ | # Finding ΔHvap of water from graph of ln (p of H2O in atm) versus 1/T
1. Dec 12, 2011
### icecream1023
1. From a lab experiment, I measured the volume of trapped air at various temperatures. I know I did calculations correctly up to the point that I drew the linear relationship between ln (p of H2O in atm) to 1/T (... | {"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://crazyproject.wordpress.com/2011/06/11/every-ideal-in-zzi-is-principal/ | ## Every ideal in ZZ[i] is principal
Prove that every ideal in $\mathbb{Z}[i]$ is principal.
We showed here that $\mathbb{Z}[i]$ is a Euclidean domain. Thus it is a principal ideal domain. | {"extraction_info": {"found_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": 2, "mimetex.cgi": 0, "/images/mat... |
https://www.helsinki.fi/en/news/science-news/citizen-science-discovers-a-new-form-of-the-northern-lights?fbclid=IwAR1CVmj6ZBttYc9LosS_QZdohgIHVnyFFVRkzEnFtXs1dNtzqXoxJULDyK0 | # Citizen science discovers a new form of the Northern Lights
29.1.2020
Working together with space researchers, Finnish amateur photographers have discovered a new auroral form. Named 'dunes' by the hobbyists, the phenomenon is believed to be caused by waves of oxygen atoms glowing due to a stream of particles releas... | {"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://www.physicsforums.com/threads/missing-sumthing-really-dumb-please-help.179705/ | 1. Aug 8, 2007
1. The problem statement, all variables and given/known data
A block of mass M = 3 kg is released from rest and slides down an incline that makes an angle q = 32° with the horizontal. The coefficient of kinetic friction between the block and the incline is µk = 0.15.
What is the acceleration of the bl... | {"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.gradesaver.com/textbooks/math/algebra/intermediate-algebra-12th-edition/chapter-1-section-1-7-absolute-value-equations-and-inequalities-1-7-exercises-page-119/62 | ## Intermediate Algebra (12th Edition)
$\left[ 0,6 \right]$
$\bf{\text{Solution Outline:}}$ To solve the given inequality, $|2x-6| \le 6 ,$ use the definition of absolute value inequalities. Use the properties of inequalities to isolate the variable. For the interval notation, use a parenthesis for the symbols $\lt$ 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://www.ncbi.nlm.nih.gov/pmc/articles/PMC1366629/?tool=pubmed | Biophys J. 2005 Aug; 89(2): 782–795.
Published online 2005 May 6.
PMCID: PMC1366629
# The Physics of Filopodial Protrusion
## Abstract
Filopodium, a spike-like actin protrusion at the leading edge of migrating cells, functions as a sensor of the local environment and has a mechanical role in protrusion. We use model... | {"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://physics.stackexchange.com/questions/18277/solar-wind-and-the-earths-magnetic-field | # Solar wind and the Earth's magnetic field
I have again an old question from a comprehensive exam I took a couple of months ago. Lucky for me one could pick 5 out of 8 questions, because on some of the problems I didn't even know how to start. Now that classes are over I've now the time to revisit those problems I wa... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.physicsforums.com/threads/have-a-cone-and-divide-it-into-infinately-small-slices.26195/ | # Have a cone and divide it into infinately small slices
• Start date
• #1
58
0
If I have a cone and divide it into infinately small slices. Wouldn't both sides of one slice have the same area and wouldn't the next slice (and so on) have the same area as the slice before. So wouldn't your cone actually be a cylinder?
... | {"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://en.wikipedia.org/wiki/Hypoexponential_distribution | # Hypoexponential distribution
Parameters $\lambda_{1},\dots,\lambda_{k} > 0\,$ rates (real) $x \in [0; \infty)\!$ Expressed as a phase-type distribution $-\boldsymbol{\alpha}e^{x\Theta}\Theta\boldsymbol{1}$ Has no other simple form; see article for details Expressed as a phase-type distribution $1-\boldsymbol{\alpha}... | {"extraction_info": {"found_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": 55, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://ipsc.ksp.sk/2015/real/solutions/a.html | # Internet Problem Solving Contest
## Solution to Problem A – A+B
Our task is to rearrange the string of digits into two integers a and b such that a + b is as large as possible. Let’s see how we can construct such a and b, and thus find the value of a + b.
In the easy subproblem, we had exactly three digits. The an... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://math.stackexchange.com/questions/778334/multiply-by-t-to-account-for-et-in-the-homogeneous-solution | # Multiply by $t$ to account for $e^t$ in the homogeneous solution
$$y'' - y' = e^t \sin{t}$$
So far I have $\lambda(\lambda - 1) = 0 \quad\implies\quad \lambda_1 = 0 \quad\land\quad \lambda_2 = 1 \qquad\implies y_h(t) = c_1+c_2e^t$
This line brings me my question: $$y_p(t) = t\left(c_1e^t\sin{t} + c_2e^t\cos{t} \ri... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://cs.stackexchange.com/questions/106680/how-do-we-prove-the-time-complexity-of-this-simple-problem-in-probabilistic-infe | # How do we prove the time complexity of this simple problem in probabilistic inference on a Bayesian network?
Suppose we have a simple Bayesian network with two rows of nodes: $$x_1, x_2, \ldots, x_n$$ and $$y_1, y_2, \ldots, y_n$$. Each node $$x_k$$ takes a state of either 0 or 1 with equal probability. Each node $$... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathhelpforum.com/algebra/1522-algebra.html | # Math Help - Algebra
1. ## Algebra
x power 4 -(x-z)whole power 4.
Factorisation
2. Originally Posted by shaurya
x power 4 -(x-z)whole power 4.
Factorisation
I guess that you are expected to use the difference of two squares result
here:
$u^2-v^2=(u-v)(u+v)$.
Here you have:
$x^4-(x-z)^4$.
Now use $x^2$ for $u$ 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": 0, "img_math": 0, "codecogs_latex": 6, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://www.reddit.com/r/cheatatmathhomework/comments/1jejbc/linear_algebra_eigenspaces/ | [–] 1 point2 points (1 child)
sorry, this has been archived and can no longer be voted on
First, a basis for a subspace isn't unique, so it's slightly misleading to say 'don't change' even in the case when Ak and A have identical eigenspaces.
Second, raising to a power can collapse eigenspaces into the same. For ex... | {"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://kullabs.com/class-9/science-9/machine | ## Machine
Subject: Science
### Lesson Info
• Notes 3
• Videos 10
• Exercises 65
• Practice Test 21
• Skill Level Medium
#### Overview
After completion of this lesson, student must be able to:
• Describe mechanical advantage, velocity ratio and efficiency of a simple machine (lever, pulley, wheel and axle and inc... | {"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://math.stackexchange.com/questions/775434/the-point-open-game-and-omega-covers | # The point-open game and $\omega$-covers
Let $X$ be a topological space. The point-open game $G_{po}(X)$ is defined as folows. It is played by two players ONE and TWO. In the n'th step $(n \in \omega)$, ONE choose a finite subset $F$ of $X$, and TWO selects an open $G_n$ in $X$, $F_n \subset G_n$. ONE wins if $\bigcu... | {"extraction_info": {"found_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://swmath.org/software/15428 | hglm
R package hglm: Hierarchical Generalized Linear Models. Procedures for fitting hierarchical generalized linear models (HGLM). It can be used for linear mixed models and generalized linear mixed models with random effects for a variety of links and a variety of distributions for both the outcomes and the random ef... | {"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://math.libretexts.org/TextMaps/Analysis_TextMaps/Map%3A_Partial_Differential_Equations_(Miersemann)/3%3A_Classification/3.3.0%3A_Systems_of_First_Order | $$\newcommand{\id}{\mathrm{id}}$$ $$\newcommand{\Span}{\mathrm{span}}$$ $$\newcommand{\kernel}{\mathrm{null}\,}$$ $$\newcommand{\range}{\mathrm{range}\,}$$ $$\newcommand{\RealPart}{\mathrm{Re}}$$ $$\newcommand{\ImaginaryPart}{\mathrm{Im}}$$ $$\newcommand{\Argument}{\mathrm{Arg}}$$ $$\newcommand{\norm}[1]{\| #1 \|}$$ $$... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 2, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://chitowntutoring.com/secant-sec-cosecant-csc-and-cotangent-cot/ | Secant (sec), Cosecant (csc), and Cotangent (cot)
This section will show you how the functions of trigonometry like cotangent, secant, and cosecant are related to the other trigonometric functions of sine, cosine, and tangent.
Trigonometric functions
Functions of trigonometric, angles’ functions, are common in the r... | {"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.gradesaver.com/textbooks/math/algebra/algebra-2-1st-edition/chapter-1-equations-and-inequalities-1-3-solve-linear-equations-1-3-exercises-skill-practice-page-21/18 | ## Algebra 2 (1st Edition)
$-7/2$
Subtracting 3 from each side gives, $8/7*d=-4$ Then multiplying both sides by $7/8$ gives $d=-7/2$ Checking gives: $3-4=-1$ which is true. | {"extraction_info": {"found_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/234857/help-here-derivative-question | # Help here derivative question?
Prove that for every $x$, we have $\Delta[f(x)+g(x)]=\Delta f(x)+ \Delta g(x)$. Thanks in advance.
-
What is $\Delta(f(x))$ for you? – Sigur Nov 11 '12 at 13:43
Please, try to make the title of your question more informative. E.g., Why does $a<b$ imply $a+c<b+c$? is much more useful ... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathoverflow.net/questions/118534/what-can-be-said-about-zeros-of-zetas-sharing-the-largest-real-part?answertab=active | What can be said about zeros of $\zeta(s)$ sharing the largest real part?
Specifically, if $\rho$ is such that $\zeta(\rho)=0$ and $\max_{\rho}\Re(\rho)= \Theta$, can anything interesting be said about the number/distribution of zeros on the vertical line $\sigma=\Theta$?
Clearly this question is almost as hypothetic... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://math.stackexchange.com/users/23599/deftfyodor?tab=activity | # deftfyodor
less info
reputation
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bio website location age member for 1 year, 10 months seen Oct 30 at 5:42 profile views 14
# 37 Actions
Aug7 comment Is there any function that never gives an answer other than 0/0 when applying L'Hôpital's rule? I provided the answer before the clarification. Others have now gi... | {"extraction_info": {"found_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://science.sciencemag.org/content/311/5768/1754 | Report
# Measurements of Time-Variable Gravity Show Mass Loss in Antarctica
See allHide authors and affiliations
Science 24 Mar 2006:
Vol. 311, Issue 5768, pp. 1754-1756
DOI: 10.1126/science.1123785
## Abstract
Using measurements of time-variable gravity from the Gravity Recovery and Climate Experiment satellites... | {"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://proofwiki.org/wiki/Open_Real_Intervals_are_Homeomorphic | # Open Real Intervals are Homeomorphic
## Theorem
Consider the real numbers $\R$ as a metric space under the Euclidean metric.
Let $I_1 := \left({a \,.\,.\, b}\right)$ and $I_2 := \left({c \,.\,.\, d}\right)$ be non-empty open real intervals.
Then $I_1$ and $I_2$ are homeomorphic.
## Proof
By definition of open 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://math.libretexts.org/Bookshelves/Linear_Algebra/Book%3A_Linear_Algebra_(Schilling%2C_Nachtergaele_and_Lankham)/13%3A_Appendices/13.02%3A_Summary_of_Algebraic_Structures | $$\newcommand{\id}{\mathrm{id}}$$ $$\newcommand{\Span}{\mathrm{span}}$$ $$\newcommand{\kernel}{\mathrm{null}\,}$$ $$\newcommand{\range}{\mathrm{range}\,}$$ $$\newcommand{\RealPart}{\mathrm{Re}}$$ $$\newcommand{\ImaginaryPart}{\mathrm{Im}}$$ $$\newcommand{\Argument}{\mathrm{Arg}}$$ $$\newcommand{\norm}[1]{\| #1 \|}$$ $$... | {"extraction_info": {"found_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://planetmath.org/SubnormalSeries | # subnormal series
Let $G$ be a group with a subgroup $H$, and let
$G=G_{0}\rhd G_{1}\rhd\cdots\rhd G_{n}=H$ (1)
be a series of subgroups with each $G_{i}$ a normal subgroup of $G_{i-1}$. Such a series is called a subnormal series or a subinvariant series.
If in addition, each $G_{i}$ is a normal subgroup of $G$, ... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 18, "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/214646/recover-n-integers-using-m-more-integers?answertab=oldest | # recover N integers using M more integers
Suppose we have $N$ integers $a_1,a_2,\dots,a_N$, Given $M$ more integers $b_1,b_2,\dots,b_M$($b_i$ is calculated from $a_1\dots a_n$ by some ways)
Now remove any $M$ numbers from $a_1,a_2,\dots,a_N, b_1,b_2,\dots,b_M$, I want to recover $a_1,a_2,\dots,a_N$
My question is, ... | {"extraction_info": {"found_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/eight-less-than-the-product-of-6-and-a-number-equals-5-how-do-i-write-this-as-an | Algebra
Topics
# Eight less than the product of 6 and a number equals 5. How do I write this as an equation?
Mar 15, 2018
$6 x - 8 = 5$
#### Explanation:
"Less than" implies that that number will come after what is next.
$\text{something} \setminus - \setminus 8$
"The product of" implies multiplication, and in t... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 6, "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/37168/when-to-use-math-mode/37210 | # When to use math mode?
In my document, the numbers inside math mode appear differently than those numbers out. Sometimes, I have numbers like "10 squared" within a paragraph, so it seems useful to use $10^2$. However, maybe on the same line, I have "10 km". The style of the 10 is different. In this case, should I al... | {"extraction_info": {"found_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://socratic.org/questions/how-do-you-evaluate-2x-2-y-if-x-2-frac-1-2-y-3-frac-3-5 | Algebra
Topics
# How do you evaluate 2x ^ { 2} y if x = 2\frac { 1} { 2} ,y = - 3\frac { 3} { 5}?
Oct 4, 2017
$2 {x}^{2} y = - 45$
#### Explanation:
You can evaluate $2 {x}^{2} y$ by subbing in the given points, $x = 2 \frac{1}{2}$ and $y = - 3 \frac{3}{5}$.
First, it's best to turn these fractions into improper... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 24, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://boris-belousov.net/2017/09/10/gaussian-process-linear-regression/ | # Gaussian process vs kernel ridge regression
Consider the prediction problem: given a dataset $\mathcal{D} = \{ (\mathbf{x}_i, y_i) \}_{i=1}^{N}$ of pairs of inputs $\mathbf{x}_i \in \mathbb{R}^n$ and outputs $y_i \in \mathbb{R}$, one wishes to predict the output $y$ given an input $\mathbf{x}$. We first solve this p... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.gradesaver.com/textbooks/math/algebra/intermediate-algebra-12th-edition/chapter-7-section-7-2-rational-exponents-7-2-exercises-page-448/59 | ## Intermediate Algebra (12th Edition)
$t^{8/15}$
$\bf{\text{Solution Outline:}}$ Use the definition of rational exponents and the laws of exponents to convert the given expression, $\dfrac{\sqrt[3]{t^4}}{\sqrt[5]{t^4}} ,$ to exponential form. $\bf{\text{Solution Details:}}$ Using the definition of rational exponents ... | {"extraction_info": {"found_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://myaptitude.in/cat/quant/the-milk-and-water-in-two-vessels-a-and-b-are-in-the-ratio-4-3-and-2-3-respectively | The milk and water in two vessels A and B are in the ratio 4:3 and 2:3 respectively. In what ratio the liquids in both the vessels be mixed to obtain a new mixture in vessel C consisting half milk and half water?
1. 8 : 3
2. 4 : 3
3. 2 : 3
4. 7 : 5
Milk in Vessel A = 4/7 (Dearer Value)
Milk in Vessel B = 2/5 (Cheape... | {"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://math.eretrandre.org/tetrationforum/showthread.php?tid=676&pid=6100 | • 0 Vote(s) - 0 Average
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Tetration and imaginary numbers. robo37 Junior Fellow Posts: 15 Threads: 6 Joined: Jun 2009 07/12/2011, 03:22 PM Thanks for the help I got with my last question, now here's something else. i^i = 0.207879576..., which is interesting, so I wounder if there is any way to find 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": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 16, "/images/ma... |
https://infoscience.epfl.ch/record/231554 | ## Revisiting the quest for a universal log-law and the role of pressure gradient in "canonical" wall-bounded turbulent flows
The trinity of so-called "canonical" wall-bounded turbulent flows, comprising the zero pressure gradient turbulent boundary layer, abbreviated ZPG TBL, turbulent pipe flow, and channel/duct flo... | {"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://mathhelpforum.com/pre-calculus/158427-logarithm.html | 1. ## Logarithm
Hi,
Are there alternative ways of solving this equation? Could logarithms be used?
$a^{60} = 2.044 \implies a = 2.044^{1/60} = 1.012$
2. Originally Posted by Hellbent
Hi,
Are there alternative ways of solving this equation? Could logarithms be used?
$a^{60} = 2.044 \implies a = 2.044^{1/60} = 1.01... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 14, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://math.msu.edu/seminars/TalkView.aspx?talk=4065 | ## Student Algebra
• Nicholas Ovenhouse, MSU
• Log-Canonical Poisson Brackets on the Algebra of Rational Functions
• 10/05/2016
• 4:10 PM - 5:00 PM
• C304 Wells Hall
On a symplectic manifold, there are always canonical coordinates around any point, where the symplectic form looks like the standard one on R^2n. I... | {"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.arxiv-vanity.com/papers/0706.0652/ | CERN–PH–TH/2007-087 DCPT/07/50, IPPP/07/25
MPP–2007–64 UMN–TH–2606/07, FTPI–MINN–07/19
The Supersymmetric Parameter Space in Light of
-physics Observables and Electroweak Precision Data
J. Ellis, S. Heinemeyer, K.A. Olive, A.M. Weber and G. Weiglein
TH Division, Physics Department, CERN, Geneva, Switzerland
Insti... | {"extraction_info": {"found_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/search/4753358/ | # Search results
1. ### Light refracting through a plastic sphere
Homework Statement A small light bulb is placed 10.0 cm from the center of a plastic sphere of radius 1.0 cm and refractive index 1.40. Where is the image of the bulb? Homework Equations 1) Thin lens equation 2) Thick lens equation The Attempt at a Sol... | {"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://sites.maths.cf.ac.uk/swngsn/category/abstracts/ | # Category Archives: Abstracts
Abstracts
## Weak Rigidity/Compactness Problems in Nonlinear Partial Differential Equations
Two of the fundamental issues in the analysis of generalised solutions for nonlinear PDEs are the weak rigidity/continuity of nonlinear PDEs and the compactness/convergence of approximate/multis... | {"extraction_info": {"found_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/pwm-for-motor-control.268310/ | # PWM for motor control
1. Oct 30, 2008
### cepheid
Staff Emeritus
I recently encountered (not for the first time) a situation in which a PWM output from a microcontroller is sent to a MOSFET bridge that drives a motor (a very high current, inductive load). I started to wonder exactly WHY it is that the duty cycle 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": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathoverflow.net/questions/112536/is-there-something-interesting-in-the-uniqueness-condition-for-a-sheaf | # Is there something interesting in the uniqueness condition for a sheaf?
After digesting the Presheaf definition by the very first time, one feels (at least I felt) a strange sensation noticing the existence and uniqueness conditions to graduate that Presheaf as a sheaf, but although some "natural" examples are given... | {"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.maths.kisogo.com/index.php?title=Characteristic_property_of_the_quotient_topology | # Characteristic property of the quotient topology
This page is a stub, so it contains little or minimal information and is on a to-do list for being expanded.
AKA: the Characteristic property of the quotient topology which redirects here
## Statement
In this commutative diagram[ilmath]f[/ilmath] is continuous[ilma... | {"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://forrestbao.blogspot.com/2014/06/what-determinant-really-determines.html?utm_source=feedburner&utm_medium=feed&utm_campaign=Feed%3A+ThinkForrestThink+%28Think%2C+Forrest%21+Think%21%29 | ### What a determinant really determines
The determinant is an important concept in linear algebra. Since a determinant is defined for a square matrix, many people would think it as a property of a matrix. But what does it really determine? In other words, why did mathematicians invent it? And why is it defined so? Fo... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.physicsforums.com/threads/weather-station-question.380355/ | # Homework Help: Weather Station question
1. Feb 21, 2010
### Claire_01
A weather station at the airport measured a station pressure of 1014 mb. The density of dry air is 1.3 kg/m^3. The gas constant for dry air, R, is 287 J/kg-K. Calculate the temperature of the dry air at the airport.
1 mb = 100 J/m ^3
AND
The ... | {"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://vkxq.jacobsweb.it/graphs-of-sine-and-cosine-functions-answer-key.html | The graph is a smooth curve. Trigonometric Functions and Their Graphs Notes. Hint: Sine is odd and cosine is. graph 20) Identify the inte on [0, 2m] for which the cosine function is increasing. Transformations of Sine and Cosine Functions A sinusoid is a transformation of the graph of the sine function. Sketch the grap... | {"extraction_info": {"found_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://socratic.org/questions/if-log-2-x-1-log-4-x-and-log-8-4x-are-consecutive-terms-of-a-geometric-sequence- | Precalculus
Topics
# If log_2 x, 1 + log_4 x and log_8 4x are consecutive terms of a geometric sequence, what are all possible values of x?
Feb 18, 2017
$x = \frac{1}{4} , 64$
#### Explanation:
We use the property of a geometric sequence that $r = {t}_{2} / {t}_{1} = {t}_{3} / {t}_{2}$.
$\frac{1 + {\log}_{4} x}{{... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 26, "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://riemann.unizar.es/~mmarco/DME/DME.html | # DME cryptosystem
## Intro: Multivariate cryptosystems
DME is a cryptosystem of the multivariate family. That is, it consists in a polynomial map $\begin{array}{ccc} g:K^n & \to & K^m \\ \left( \begin{array}{c} x_1 \\ \vdots \\ x_n \end{array} \right) & \to & \left( \begin{array}{c} g_1(x_1,\ldots,x_n) \\ \vdots \\ ... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.physicsforums.com/threads/maximum-height-of-a-projectile-thrown-from-a-rooftop.735334/ | # Homework Help: Maximum height of a projectile thrown from a rooftop
1. Jan 28, 2014
### s.dyseman
1. The problem statement, all variables and given/known data
A man stands on the roof of a building of height 14.6m and throws a rock with a velocity of magnitude 30.8m/s at an angle of 33.2∘ above the horizontal. Yo... | {"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://cstheory.stackexchange.com/questions/14675/is-there-some-mathematical-closed-form-or-somewhat-tight-asymptotic-one-for-g | Is there some mathematical closed form (or somewhat tight asymptotic one) for “Google Eggs Puzzle”?
The following brief description of the known "Google Eggs Puzzle" comes mainly from the web site Google Eggs:
Google Eggs Puzzle: Given n floors and m eggs, what is the approach to find the highest floor from which egg... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://www.reference.com/browse/natural-number | Definitions
# Natural number
In mathematics, a natural number (also called counting number) can mean either an element of the set {1, 2, 3, ...} (the positive integers) or an element of the set {0, 1, 2, 3, ...} (the non-negative integers). The former is generally used in number theory, while the latter is preferred ... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 22, "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://gingkoapp.com/test2 | • General
so what is this has to add to ginko
• Introduction
• This document hold all the project details for the ExpressPack Quality 2014 (EPQ 2014) version, included all the analyses, design and development details. If a details exist on another document or web page a references will be included. It is the intentio... | {"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://ldkoffice.com/standard-error/sampling-average-error.html | Home > Standard Error > Sampling Average Error
# Sampling Average Error
## Contents
In that case, the mean you estimate is the parameter. As will be shown, the standard error is the standard deviation of the sampling distribution. Suppose the population standard deviation is 0.6 ounces. The data set is ageAtMar, als... | {"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://mathhelpforum.com/calculus/49955-indefinite-integral.html | # Math Help - Indefinite integral
1. ## Indefinite integral
Having no luck with this question. Any help would be great.
Give an expression for the indefinite integral
Integral of 1/(sqrt x) (1+sqrt x)^2 dx (x>0)
2. Originally Posted by offahengaway and chips
Having no luck with this question. Any help would be gre... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 2, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://en.wikipedia.org/wiki/Magnus_effect | # Magnus effect
The Magnus effect, depicted with a back-spinning cylinder or ball in an air stream. The arrow represents the resulting lifting force. The curly flow lines represent a turbulent wake. The airflow has been deflected in the direction of spin.
The Magnus effect is the commonly observed effect in which a 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": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 2, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://findfilo.com/maths-question-answers/if-a-is-the-area-and-2s-the-sum-of-three-sides-of-5eq | If A is the area and 2s the sum of three sides of a triangle, then | Filo
Class 11
Math
Algebra
Sequences and Series
554
150
If A is the area and 2s the sum of three sides of a triangle, then
1. None of these
Solution: We know that, A.MG.M
Ans: A
554
150
Connecting you to a tutor in 60 seconds. | {"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://opus4.kobv.de/opus4-zib/frontdoor/index/index/docId/680 | ## Linear convergence of an interior point method for linear control constrained optimal control problems
Please always quote using this URN: urn:nbn:de:0297-zib-6809
• The paper provides a detailed analysis of a short step interior point algorithm applied to linear control constrained optimal control problems. Using ... | {"extraction_info": {"found_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://dsp.stackexchange.com/questions/4901/circular-time-delay-in-signal-effect-on-phase-spectra-of-dft | # Circular Time Delay in signal, effect on phase spectra of DFT
If you circularly shift a signal x[n]= [-3 -2 -1 0 1 2 3 2 1 0 -1 -2 ] to the right by M=1 compared to M=2, the phase spectra has a lot many zeros when M=2 compared to M=1.
here, I am talking about Circular Time shifting.
I know that if x[n] is even, 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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathhelpforum.com/algebra/112285-functions-help.html | 1. ## functions help
Would you explain How to determine the equation of the function and what does it mean to determine the sign of the function in each interval "created by zeros" of the function?
With these given points:
(-12,-30888), (-10,-12375), (-8,-4032), (-6,-945), (-4,-120), (-2,-3), (0,0), (2,3), (4,120), (... | {"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://kr.mathworks.com/help/phased/ref/effearthradius.html | Documentation
## Syntax
```Re = effearthradius Re = effearthradius(RGradient) ```
## Description
`Re = effearthradius` returns the effective radius of spherical earth in meters. The calculation uses a refractivity gradient of `-39e-9`. As a result, `Re` is approximately 4/3 of the actual earth radius.
`Re = effear... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 1, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://math.stackexchange.com/questions/146973/expected-value-of-the-maximum-of-two-exponentially-distributed-random-variables | # Expected Value of the maximum of two exponentially distributed random variables
I want to find the expected value of $\text{max}\{X,Y\}$ where $X$ ist $\text{exp}(\lambda)$-distributed and $Y$ ist $\text{exp}(\eta)$-distributed. I figured out how to do this for the minimum of $n$ variables, but i struggle with doing... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.gradesaver.com/textbooks/math/algebra/algebra-1/chapter-5-linear-functions-5-8-graphing-absolute-value-functions-practice-and-problem-solving-exercises-page-345/29 | ## Algebra 1
$y=|x-0.5|$
The graph of $y=|x-h|$, where $h$ is a positive number, translates the graph $y=|x|$ to the right $h$ units. By substituting $0.5$ in for $h$, we can translate the graph $0.5$ units to the right. This gives us the equation $y=|x-0.5|$. | {"extraction_info": {"found_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://percentages.io/ | What is % of ?
is what % of ?
What is the % change from to ?
Example Problems
# What is Percentage?
### An introduction
Percentage is a mathematical number expressed as a fraction with a denominator of 100. It is normally denoted with the percentage (%) symbol. For example, the fraction $$\frac{50}{100}$$ could 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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://stats.stackexchange.com/questions/41551/hypothesis-testing-with-the-geometric-distribution | # Hypothesis testing with the geometric distribution
A single observation of a random variable having a geometric distribution is used to test the null hypothesis $\theta=\theta_0$ against the alternative hypothesis $\theta=\theta_1 > \theta_0$.
If the null hypothesis is rejected if and only if the observed value 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": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.gradesaver.com/textbooks/science/chemistry/chemistry-a-molecular-approach-3rd-edition/chapter-4-sections-4-1-4-9-exercises-problems-by-topic-page-187/35b | ## Chemistry: A Molecular Approach (3rd Edition)
$8.25g\ HNO_{3}$
Divide the mass of the base by its molar mass to find the moles of base to react. Multiply this by the mole ratio from the balanced chemical equation to get the moles of acid. Finally, multiply the moles of acid by the molar mass of the acid to get 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://sbseminar.wordpress.com/2009/07/28/topology-that-algebra-cant-see/ | # Topology that Algebra can’t see
Let $X$ be an algebraic variety over $\mathbb{C}$; that is to say, the zero locus of a bunch of polynomials with complex coefficients. We will consider this zero locus as a topological space using the ordinary topology on $\mathbb{C}$. One of the main themes of algebraic geometry in t... | {"extraction_info": {"found_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": 180, "mimetex.cgi": 0, "/images/m... |
http://www.aimath.org/WWN/qptsurface2/articles/html/7a/ | # Colliot-Thelene 2: Rational points on surfaces with a pencil of curves of genus one
We had , , and
separable, all irreducible, even degree, , , up to . , , .
and is the composition with the map
where .
Fact. .
Theorem. [Theorem B] Assume Schinzel's hypothesis, and the finiteness of . Let , . Let . Assume: , 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": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://web.sas.upenn.edu/maam2/seminar-abstracts/ | # Seminar Abstracts
• October 23rd, 3pm EDT
Speaker: Theresa Anderson, Purdue University
Title: Dyadic analysis meets number theory
Abstract: We explore one of many ways that analysis and number theory interact by showing what goes on in the background to construct a measure that is $p$-adic doubling for any finite se... | {"extraction_info": {"found_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": 4, "mimetex.cgi": 0, "/images/mat... |
https://amsi.org.au/ESA_Senior_Years/SeniorTopic4/4f/4f_3answers.html | ##### Exercise 1
Let $$T$$ be the waiting time (in days) until the first call. Then $$T \stackrel{\mathrm{d}}{=} \exp(1.8)$$, and therefore $$F_T(t) = 1 - \exp(-1.8t)$$, for $$t > 0$$. We need to be careful about the units of time used here.
1. $$15$$ minutes equals $$\dfrac{15}{24 \times 60}$$ days, or 0.01042 days.... | {"extraction_info": {"found_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://era.library.ualberta.ca/items/e90b84ab-ed33-40d8-92b3-7b0ed0f94fcb | Usage
• 2 views
Intrinsic Disorder Effects and Persistent Current Studies of YBCO Thin Films and Superconducting Tunnel Junctions
• Author / Creator
• This thesis studies the intrinsic disorder effects and the transport and magnetic properties of ring-shaped epitaxial thin films and superconducting tunnel junctions (... | {"extraction_info": {"found_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://interglobalmedianetwork.com/tags/spectacle4/ | ## Spectacle V4
This past Saturday I presented at React Camp, which was a part of Open Camps NYC. I used a presentation deck called Spectacle, created by Formidable Labs. I chose to use the Spectacle boilerplate because of its flexibility. What was so cool about Spectacle is that it is written with React. The presenta... | {"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://dsp.stackexchange.com/questions/17734/estimate-the-discrete-fourier-transform-series-of-a-signal-with-missing-sample | # Estimate the Discrete Fourier Transform / Series of a Signal with Missing Samples
Assuming we have a discrete signal $${ \left\{ x \left[ n \right] \right\}}_{n = 1}^{N}$$.
Which has a Discrete Fourier Transform / Series.
Now, assume I'd like to estimate its Discrete Fourier Series coefficient yet some samples 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": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
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