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http://math.stackexchange.com/questions/323288/statistics-probability-normal-distribution | # statistics: probability, normal distribution
The time that customers take to complete their transaction at a money machine is a random variable with mean $\mu$ = $2$ minutes and standard deviation $\sigma$ = $0.6$ minutes.
About 30% of customers take more than 3 minutes to complete their transaction. Take a random ... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 15, "mathjax_display_tex": 4, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://rjlipton.wordpress.com/2011/11/29/a-breakthrough-on-matrix-product/ | ## a personal view of the theory of computation
by
Beating Coppersmith-Winograd
Virginia Vassilevska Williams is a theoretical computer scientist who has worked on a number of problems, including a very neat question about cheating in the setup of tournaments, and a bunch of novel papers exemplified by this one on g... | {"extraction_info": {"found_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": 104, "mimetex.cgi": 0, "/images/m... |
http://physics.stackexchange.com/questions/tagged/surface-tension?sort=frequent&pagesize=15 | Tagged Questions
Surface tension occurs due to the tendency of liquid molecules to favor their own kind. Surface tension is important in fluid multiphase systems typically at small length and velocity
learn more… | top users | synonyms (1)
1answer
290 views
Change in appearance of liquid drop due to gravity
A liqu... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 8, "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/117903-1-quick-integration-problem.html | # Thread:
1. ## 1 Quick integration problem
Integral of (1/sqrt(x)) * cos((pi*sqrt(x))/2) in the range of 1 to 4. I'm supposed to integrate by substitution using u = pi*sqrt(x) all divided by 2
Thus,
dy = (pi*x^3/2)/3
And I get
integral of:
3/pi * cos(u) du from the range of 1 to 4, but this does not take care 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": 17, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://math.stackexchange.com/questions/59606/upper-and-lower-sums-in-riemann-integral?answertab=oldest | # upper and lower sums in Riemann integral
I want to prove this:
If $P^{*}$ is a finer partition than $P$, then show that $L(f,P, \alpha) \leq L(f,P^{*}, \alpha)$ and $U(f,P^{*}, \alpha) \leq U(f,P, \alpha)$.
If you have a set $S = \{1.2.3 \}$ then adding an element can change the infimum. If $S' = \{\frac{1}{2},1.2... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 24, "mathjax_display_tex": 5, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://unapologetic.wordpress.com/2007/06/06/yonedas-lemma/?like=1&source=post_flair&_wpnonce=d91e0e6d9a | # The Unapologetic Mathematician
## Yoneda’s Lemma
Okay, time to roll up our sleeves and get into one of the bits that makes category theory so immensely tweaky: Yoneda’s Lemma.
First, let’s lay out a bit of notation. Given a category $\mathcal{C}$ and an object $A\in\mathcal{C}$ we’ll use $h_A$ to denote the covari... | {"extraction_info": {"found_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": 55, "mimetex.cgi": 0, "/images/ma... |
http://meta.math.stackexchange.com/questions/8291/are-questions-of-the-following-form-real-questions | # Are questions of the following form “real questions”?
Of late, I've been finding myself increasingly interested in questions of the form: "Suppose we change this definition in the following way. Does this change break anything?" For instance, suppose we change the definition of a metric space so that $(X,d)$ can be ... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 19, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://www.physicsforums.com/showthread.php?t=169966 | Physics Forums
## number theory Q
1. The problem statement, all variables and given/known data
Let $\zeta$ be a primative 6-th root of unity. Set $\omega = \zeta i$ where $i^2 = 1$.
Find a square-free integer $m$ such that $Q [\sqrt{m}] = Q[ \zeta ]$
2. Relevant equations
The minimal polynomial of $\zeta$ is $x^2... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 16, "mathjax_display_tex": 2, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://en.wikisource.org/wiki/Uniform_Rotation_of_Rigid_Bodies_and_the_Theory_of_Relativity | # Uniform Rotation of Rigid Bodies and the Theory of Relativity
From Wikisource
Uniform Rotation of Rigid Bodies and the Theory of Relativity (1909) by Paul Ehrenfest, translated by Wikisource
In German: Gleichförmige Rotation starrer Körper und Relativitätstheorie, Physikalische Zeitschrift, 10: 918
Uniform Rota... | {"extraction_info": {"found_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": 7, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathoverflow.net/questions/30480/particle-physics-and-representations-of-groups/30490 | ## Particle Physics and Representations of Groups
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This question is asked from a point of complete ignorance of physics and the standard model.
Every so often I hear that particles correspond to representations 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": 115, "mathjax_display_tex": 2, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/m... |
http://mathoverflow.net/questions/117487/polynomial-rings/117530 | ## Polynomial Rings
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Let $R$ and $S$ be non-zero rings with identity. Is it possible to have $R[x] \cong S[[x]]$ ?
-
1
What about $R=\mathbb{Z}[[x]]$, $S=\mathbb{Z}[x]$? – Piotr Achinger Dec 29 at 9:17
8
@Piotr... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 73, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://quant.stackexchange.com/questions/4660/how-to-improve-the-black-scholes-framework/4706 | # How to improve the Black-Scholes framework?
Since the distribution of daily returns are obviously not lognormal, my bottom line question is has BS been reworked for a better fitting distribution?
The best dist I've ever made fit is a double-sided exponential, but I'd easily settle for a regular exponential distribu... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 6, "mathjax_display_tex": 2, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathhelpforum.com/calculus/179327-convergence-continuous-function.html | # Thread:
1. ## Convergence of continuous function
My professor hinted that this problem would be on the final, so any help would be greatly appreciated.
Find:
limit as n goes to infinity of (limit as k goes to infinity of cos((n!*pi*x)^2k))
I know since it's continuous, I should be able to move the limits inward, ... | {"extraction_info": {"found_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://mathoverflow.net/questions/6635/does-such-a-subgroup-exist/6682 | ## Does such a subgroup exist?
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I am looking for a certain masa in a $II_1$ factor which is singular and has nontrivial Takesaki invariant. For this I am looking for an example of an inclusion of groups $H\subset ... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 55, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathoverflow.net/questions/30071/efficient-approximation-of-a-matrix-and-its-inverse | ## Efficient approximation of a matrix and its inverse
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Assume that $A$ is a real $n\times n$ matrix whose rows constitute an orthonormal basis of $\mathbb R^n$.
Informal statement of question: Assume we want 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": 49, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://www.chegg.com/homework-help/questions-and-answers/below-is-a-set-of-current-t-0-prices-on-a-set-of-zero-coupon-bonds-the-face-value-on-all-o-q3455332 | home / homework help / questions and answers / business / finance / below is a set of current (t...
Close
## Finance 2
Below is a set of current (t = 0) prices on a set of zero-coupon bonds. The face value on all of these bonds is $1000. The prices below are quoted per$100 in face value. In answering the following qu... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://math.stackexchange.com/questions/221289/properties-of-adjoints-of-linear-maps/222138 | # Properties of adjoints of linear maps
I am studying linear algebra by myself, and I came across the need to prove the following, for adjoints of linear maps:
• ($f^\dagger)^\dagger=f$
• $(f\circ g)^\dagger=g^\dagger\circ f^\dagger$
• $\langle v|fw\rangle=\langle f^\dagger v|w\rangle$
Thank you very much!
• -
Do y... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 3, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://physics.stackexchange.com/questions/tagged/rotational-dynamics+mass | # Tagged Questions
3answers
70 views
### Mass equals Moment of inertia when constant density?
I have found equation for moment of inertia $(J)$. I'm calculating $J$ for hemisphere, with rotational axis $Z$. $$J = \iiint\limits_V r^2 \cdot \rho \cdot dV$$ But if $\rho$ is constant ...
1answer
115 views
### How do 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": 4, "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/114175/definition-of-convergence-in-distribution | # Definition of convergence in distribution
My question is convergence in distribution seems to be defined differently in Wikipedia and in Kai Lai Chung's book. My view is that the one by Wikipedia is a standard definition of convergence in distribution, and the one by Chung is actually vague convergence not convergen... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 29, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathhelpforum.com/discrete-math/106349-arranging-objects-restrictions.html | # Thread:
1. ## Arranging objects with restrictions
There are 6 men and 9 women and they need to be seated in a row of 15 chairs. How many ways are there to arrange them such that the 6 men sit next to each other?
This is what I have done so far. There are 15! ways of arranging the entire group. Arranging the 6 men ... | {"extraction_info": {"found_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": 5, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://physics.stackexchange.com/questions/3554/whats-a-good-reference-for-this-classical-picture-feynmans-talking-about?answertab=oldest | # What's a good reference for this classical picture Feynman's talking about?
I have a mathematics background but am trying to educate myself a little about physics. At the beginning of Feynman's QED book (not the popular one) is the following:
Suppose all of the atoms in the universe are in a box. Classically the bo... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 4, "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/139495-continuity-limits.html | # Thread:
1. ## Continuity with limits
I am having some trouble with the concept of continuity and limits when it applies to questions. Here's a simple question I am not sure how to approach:
$\mbox{If} x^4 \leq \mbox{f(x)} \leq x^2$ for $-1 \leq x \leq 1$ and $x^2 \leq \mbox{f(x)} \leq x^4$ for $x<-1 \mbox{or} x>1$... | {"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": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 13, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://math.stackexchange.com/questions/tagged/computational-mathematics?sort=active&pagesize=15 | # Tagged Questions
Computational mathematics involves mathematical research in areas of science where computing plays a central and essential role, emphasizing algorithms, numerical methods, and symbolic methods.
0answers
33 views
+50
### Derivative of Associated Legendre polynomials at $x = \pm 1$
I'm creating mes... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 77, "mathjax_display_tex": 5, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathoverflow.net/revisions/52742/list | ## Return to Answer
2 Added reference
Here's a pretty abstract answer. Bill Lawvere, working on his ideas about "axiomatic cohesion", often talks about a Nullstellensatz that at first sight has nothing whatsoever to do with zeros of polynomials.
Axiomatic cohesion is about pinning down the properties that a category... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 22, "mathjax_display_tex": 2, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathoverflow.net/questions/56892?sort=votes | ## Entropy of nested compact invariant sets
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Let $f$ be a homeomorphism on a compact metric space $X$. $K_1\supset K_2\supset\cdots \supset K$ are compact subsets of $X$ such that $f(K_n)=K_n$ and $K=\bigcap K_n$.... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 42, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://blog.hvidtfeldts.net/index.php/category/fractals/page/2/ | Distance Estimated 3D Fractals (VII): Dual Numbers
Posted on December 13, 2011 by
Previous parts: part I, part II, part III, part IV, part V, and part VI.
This was supposed to be the last blog post on distance estimated 3D fractals, but then I stumbled upon the dual number formulation, and decided it would blend 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": 0, "mathjax_display_tex": 72, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathoverflow.net/questions/63414/nash-style-embedding-theorem-for-connections/63419 | ## “Nash Style” Embedding Theorem for Connections
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The strong Whitney embedding theorem states that any smooth (Hausdorff and second-countable) manifold can be smoothly embedded in Euclidean space. John Nash went ... | {"extraction_info": {"found_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... |
http://physics.stackexchange.com/questions/tagged/quantum-gravity+quantum-mechanics | Tagged Questions
0answers
54 views
How can superstring theories unify general relativity and quantum theory when no prediction can be made?
I am a newbie to superstring theories, but I came into this question: so superstring theories purport to unify general relativity and quantum theory. However, there is yet no de... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 12, "mathjax_display_tex": 3, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://math.stackexchange.com/questions/252924/type-of-bifurcation-occurs | # type of bifurcation occurs
What are the fixed points of
$$θ'=1-a\sinθ$$
what type of bifurcation occurs at $$a=1, \;\;\;θ=π/2$$
Solution:
$$1/a=\sinθ$$
or $$θ=\arcsin(1/a)$$
I cant seem to find the proper fixed points after this step
-
## 1 Answer
You don't need to find any fixed points analytically to get ... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 4, "mathjax_display_tex": 5, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathoverflow.net/revisions/112199/list | 2 edited tags
1
# Differential equations and axiom of choice
In the most general context, the Picard-Lindelöf theorem (aka Cauchy-Lipschitz in French) asserts the existence of a maximal solution for $\dot{x}(t) = f(t,x(t))$, i.e. of a solution $x(t)$ defined on a interval $I$ such that there exist no other solution w... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 6, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://nrich.maths.org/public/leg.php?code=87&cl=3&cldcmpid=6793 | nrich enriching mathematicsSkip over navigation
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Angle properties of shapes. Perpendicular lines. Angles. Ci... | {"extraction_info": {"found_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... |
http://en.wikiversity.org/wiki/User:Egm6321.f09.Team1/HW7 | From Wikiversity
# Problem 1: Odd and Even Solutions of Legendre DE
From Lecture Slide 37-1.
## Given
From lecture slide 31-3, general expression for Legendre Polynomial is given by,
$\displaystyle P_n(x) = \sum_{i=0}^{\lfloor n/2 \rfloor} \frac{1 \cdot 3 \dots \left(2n - 2i - 1\right)}{2^i i! (n-2i)!} (-1)^i x^{n... | {"extraction_info": {"found_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": 216, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/m... |
http://math.stackexchange.com/questions/107154/counter-example-for-a-result-of-intersection-of-subspaces?answertab=oldest | # Counter example for a result of intersection of subspaces
I am struggling with this question from Halmos's text, please ignore the imperative language.
"Suppose that $L, M$ and $N$ are subspaces of a vector space. Show that the equation
$$L \cap (M + N) = (L \cap M) + (L \cap N)$$
is not necessarily true.
Since ... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 38, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://cs.stackexchange.com/questions/9781/how-to-find-l-q-emptyset-a-state-that-is-not-reachable-for-any-given-strin | # How to find $L_q = \emptyset$, a state that is not reachable for any given string?
In the book Introduction to Languages and the Theory of Computation, I'm reading section 2.6 on how to minimize the number of states in an FA.
I'm having trouble understanding a notation defined as $L_q$. Here's what the book says:
... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 21, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://math.stackexchange.com/questions/100812/solving-a-limit-with-taylor-series | # Solving a limit with Taylor Series
I have trouble with the method of solving limits using Taylor series.
Consider for example these limits: $$\begin{align*} \lim_{x\to 0^-} \frac{1 + \log(1 + \sin\sqrt{x}) - e^{\sqrt{x}}}{\tan\sqrt{x} -\sin\sqrt{x}} &= i\infty\\ \lim_{x\to 0^+}\frac{1 + \log(1 + \sin\sqrt{x}) - e^{... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 19, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://en.wikipedia.org/wiki/Assignment_problem | # Assignment problem
The assignment problem is one of the fundamental combinatorial optimization problems in the branch of optimization or operations research in mathematics. It consists of finding a maximum weight matching in a weighted bipartite graph.
In its most general form, the problem is as follows:
There are... | {"extraction_info": {"found_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": 9, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://www.askamathematician.com/2012/03/q-is-there-an-intuitive-proof-for-the-chain-rule/ | Your Math and Physics Questions Answered
# Q: Is there an intuitive proof for the chain rule?
Posted on March 13, 2012 by
Physicist: The chain rule is a tool from calculus that says that if you have one function “nested” inside of another, $f(g(x))$, then the derivative of the whole mess is given by $\frac{df}{dx} (... | {"extraction_info": {"found_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": 26, "mimetex.cgi": 0, "/images/ma... |
http://mathoverflow.net/users/14969?tab=recent | # Giorgio Mossa
1,387 Reputation
1089 views
## Registered User
Name Giorgio Mossa
Member for 2 years
Seen 3 hours ago
Website
Location Earth
Age 25
I'm math student, in particular I'm interested in algebra, geometry, topology and category theory (especially h... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 5, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathhelpforum.com/geometry/87173-find-measure-angle-c.html | # Thread:
1. ## Find Measure of Angle C
In triangle ABC, the measure of angle B is twice the measure of angle A. If the measure of angle A is subtracted from the measure of angle C, the difference is 20. Find the measure of angle C.
My answer is 120 degrees.
The book's answer is 60 degrees.
2. $A + B + C = 180 \; ... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 12, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://gilkalai.wordpress.com/2011/06/15/the-combinatorics-of-cocycles-and-borsuks-problem/?like=1&source=post_flair&_wpnonce=a34a077b61 | Gil Kalai’s blog
## The Combinatorics of Cocycles and Borsuk’s Problem.
Posted on June 15, 2011 by
## Cocycles
Definition: A $k$-cocycle is a collection of $(k+1)$-subsets such that every $(k+2)$-set $T$ contains an even number of sets in the collection.
Alternative definition: Start with a collection $\cal G$ 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": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 137, "mimetex.cgi": 0, "/images/m... |
http://projecteuclid.org/DPubS?service=UI&version=1.0&verb=Display&handle=euclid.jsl/1183746559 | ### Exact Bounds for Lengths of Reductions in Typed $\lambda$-Calculus
Arnold Beckmann
Source: J. Symbolic Logic Volume 66, Issue 3 (2001), 1277-1285.
#### Abstract
We determine the exact bounds for the length of an arbitrary reduction sequence of a term in the typed $\lambda$-calculus with $\beta-, \xi$- and $\eta$... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 4, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathematica.stackexchange.com/questions/2357/how-can-i-get-mathematica-to-solve-an-equation-with-multiple-variables?answertab=active | # How can I get Mathematica to solve an equation with multiple variables?
How can I get mathematica to solve the non-homogeneous differential equation with undetermined coefficients listed below?
Solve $\ y''(t)+3y'(t) = 2t^4$, using: $\ y_p(t) = t(A_0t^4+A_1t^3+A_2t^2+A_3t+A_4)$
where $\ y_p(t)$ is a particular sol... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 12, "mathjax_display_tex": 2, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathhelpforum.com/geometry/191988-find-surface-area-open-topped-box-print.html | # Find the surface area of an open-topped box
Printable View
• November 15th 2011, 01:19 PM
Dragon08
1 Attachment(s)
Find the surface area of an open-topped box
Attachment 22758
Find the surface area of this open-topped lid.
I know the formula for the surface area of a cylinder is pi(r^2)h, but I don't know how 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": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 4, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathoverflow.net/questions/73651?sort=oldest | ## True by accident (and therefore not amenable to proof)
### Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points)
The graph reconstruction conjecture claims that (barring trivial examples) a graph on n vertices is determined (up to isomorphism) by its collection of (n... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 56, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathoverflow.net/questions/25535/distributions-more-complicated-than-the-dirac-and-derivatives/25536 | ## Distributions more complicated than the Dirac δ and derivatives
### Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points)
The responses to another question clarifies that the best known examples of distributions that are not measures, are the derivatives of the delta... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 19, "mathjax_display_tex": 2, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://math.stackexchange.com/questions/108509/calculate-perimeter-from-parametric-form-with-an-ellipse/108518 | # Calculate perimeter from parametric form with an ellipse?
Suppose I have a thing such as an ellipse:
$$\left(\frac{x}{a}\right)^{2}+\left(\frac{y}{b}\right)^{2}=1$$
now we can define it so that $\frac{x}{a}=cos(\theta)$ and $\frac{y}{b}=sin(\theta)$. I know the perimeter formula
$$\mu(S)=\int\sqrt{1+\left(f'(x)\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": 22, "mathjax_display_tex": 7, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathhelpforum.com/pre-calculus/154678-limits-positive-negative-infinity-question.html | # Thread:
1. ## limits of positive/negative infinity question
I am having some trouble evaluating two limit questions. They are the same equation but the question asks for an answer for limit of positive infinity and one for limit of negative infinity.
The equation is:
$\sqrt (x^2 + 1)\div (x-1)$
How do I go 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": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 2, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathhelpforum.com/trigonometry/89076-solved-getting-wrong-sign-cosx-sinx-rsin-x-alpha.html | # Thread:
1. ## [SOLVED] Getting the wrong sign for cosx+sinx=rsin(x+alpha)
The question asks me to solve $7\cos x +6\sin x = 2$
So I put it into the form $r\sin (x + \alpha)$:
$7\cos x +6\sin x \equiv r\sin (x + \alpha) \equiv r\sin x\cos\alpha + r\cos x\sin\alpha$
Then I equate the coefficients:
of cos x: $7=r\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": 0, "codecogs_latex": 25, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://math.stackexchange.com/questions/318308/equintinuity-of-bounded-linear-functions-equivalent-to-uniform-boundedness | # Equintinuity of bounded linear functions equivalent to uniform boundedness
The claim is the following:
Every family of bounded linear functions is equicontinuous if and only it is uniformly bounded.
I only have trouble figuring out the forward direction.
-
If $\|f\| \le M$, then $|f(x) - f(y)| \le M \|x-y\|$. Ca... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 19, "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/169017/prove-that-there-does-not-exist-any-positive-integers-pair-m-n-satisfying/169120 | # Prove that there does not exist any positive integers pair $(m, n)$ satisfying: $n(n + 1)(n + 2)(n + 3) = m{(m + 1)^2}{(m + 2)^3}{(m + 3)^4}$
How to prove that, there does not exist any positive integers pair $(m,n)$ satisfying:
$n(n + 1)(n + 2)(n + 3) = m{(m + 1)^2}{(m + 2)^3}{(m + 3)^4}$.
-
it is clear that,if 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": 27, "mathjax_display_tex": 14, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/m... |
http://mathoverflow.net/revisions/64136/list | ## Return to Answer
2 corrected q_0 and q' switch; added 5 characters in body
I don't think there is a magic theorem here which works all the time. What you want depends a lot on the specific $\phi$, ${\bf q}'$, ${\bf q}_0$ you are working with. What you said sounds a lot like a toy model for the renormalization grou... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 48, "mathjax_display_tex": 2, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://stats.stackexchange.com/questions/tagged/inference | # Tagged Questions
Inference, in a statistical context, refers to drawing conclusions about a population from information about a sample from that population.
0answers
9 views
### Iterated Conditional Mode approximation in E step of EM
I wanted to know what is the mathematical justification for using ICM as an appr... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 30, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://crypto.stackexchange.com/questions/228/how-robust-is-discrete-logarithm-in-gf2n/469 | # How robust is discrete logarithm in GF(2^n) ?
"Normal" discrete logarithm based cryptosystems (DSA, Diffie-Hellman, ElGamal) work in the finite field of integers modulo a big prime p. However, there exist other finite fields out there, in particular binary fields GF(2n). There is a specific attack described by Coppe... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 19, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathhelpforum.com/differential-geometry/176150-null-space-linear-functional.html | # Thread:
1. ## Null Space of A linear Functional
Dear Colleagues,
If $Z$ is an $(n-1)-$dimensional subspace of an $n-$dimensional vector space $X$, show that $Z$ is the null space of a suitable linear functional $f$ on $X$, which is uniquely determined to within a scalar multiple.
Regards,
Raed.
2. Originally Po... | {"extraction_info": {"found_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": 40, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathhelpforum.com/discrete-math/192527-proof-there-infinitely-many-prime-numbers-using-induction.html | # Thread:
1. ## proof there are infinitely many prime numbers using induction
Euclid proved that there are infinitely many primes. His proof doesn't exactly use induction but it is close. Rewrite the proof to use proof by induction.
Euclid's proof
Basis
$S={2,3,5,7,11,13...}$
Induction Hypothesis
let $S_k={p_1, p_2... | {"extraction_info": {"found_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": 16, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathhelpforum.com/differential-geometry/75630-homeomorphisms-interior-boundary.html | # Thread:
1. ## homeomorphisms and interior, boundary
Show that if f: X->Y is a homeomorphism, then:
$f(\partial(A))=\partial(f(A))$
I am stuck!
2. Originally Posted by Andreamet
Show that if f: X->Y is a homeomorphism, then:
$f(\partial(A))=\partial(f(A))$
I assume A is a subset of X.
Since $\partial A = \overl... | {"extraction_info": {"found_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": 11, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://stats.stackexchange.com/questions/tagged/image-processing | # Tagged Questions
A form of signal processing where the input is an image. Usually treating the digital image as a two-dimensional signal (or multidimensional). This processing may include image restoration and enhancement (in particular, pattern recognition and projection).
learn more… | top users | synonyms
0answ... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 5, "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/302402/limit-sequence-sets | # Limit sequence sets
In my measure theory book I came across the following definition: Let $(A_n)_{n\ge1}$ be a sequence of subsets of some set $X$. Define:
$\limsup_{n\to\infty} A_n:=\bigcap_{n\ge1}\bigcup_{k\ge n}A_k$
$\liminf_{n\to\infty} A_n:=\bigcup_{n\ge1}\bigcap_{k\ge n}A_k$
Call the sequence convergent if ... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 11, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://crypto.stackexchange.com/questions/1246/must-the-order-of-the-groups-in-a-bilinear-map-be-the-same?answertab=active | # Must the order of the groups in a bilinear map be the same?
I've been reading up on bilinear maps and their application to cryptography and one thing I keep seeing hasn't yet clicked.
If $e:G_1\times G_2\to G_n$ is a bilinear map, $G_1,G_2,G_n$ are always defined as having the same order.
It seems to me, however, ... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 149, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/m... |
http://en.wikipedia.org/wiki/Huzita's_axioms | # Huzita–Hatori axioms
(Redirected from Huzita's axioms)
The Huzita–Hatori axioms or Huzita–Justin axioms are a set of rules related to the mathematical principles of paper folding, describing the operations that can be made when folding a piece of paper. The axioms assume that the operations are completed on a plane... | {"extraction_info": {"found_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": 32, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://stats.stackexchange.com/questions/28826/tips-and-tricks-for-getting-good-parameter-estimates-using-bayesian-nonlinear-re/28846 | # Tips and tricks for getting good parameter estimates using Bayesian nonlinear regression
I've been playing around with fitting nonlinear models using rjags. Specifically 3 and 4 parameter sigmoid curves, e.g.,
````upAsym + (y0 - upAsym)/ (1 + (x[r]/midPoint)^slope))
````
I've noticed that good parameter estimates ... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 15, "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/20800/acceleration-value-disparity | Acceleration: Value Disparity?
If we consider a ball moving at an acceleration of $5ms^{-2}$, over a time of 4 seconds, the distance covered by the ball in the first second is $5m$. In the 2nd second will $5 + 5 = 10m$. In the third second it will cover a distance of $5 + 5 + 5 = 15m$ and so on and so forth. Now, when... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 9, "mathjax_display_tex": 4, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://nrich.maths.org/367 | nrich enriching mathematicsSkip over navigation
### Bang's Theorem
If all the faces of a tetrahedron have the same perimeter then show that they are all congruent.
### Rudolff's Problem
A group of 20 people pay a total of £20 to see an exhibition. The admission price is £3 for men, £2 for women and 50p for children... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 8, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://nrich.maths.org/6278/clue | ### A Problem of Time
Consider a watch face which has identical hands and identical marks for the hours. It is opposite to a mirror. When is the time as read direct and in the mirror exactly the same between 6 and 7?
### Eight Dominoes
Using the 8 dominoes make a square where each of the columns and rows adds up 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": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://math.stackexchange.com/questions/160384/summation-of-a-sequence | # Summation of a sequence
Let $f(a)$ be the sequence defined by $$f(a)=\left[\frac{a^2+8a+10}{a+9}\right]$$ where $[x]$ is the largest integer that does not exceed $x$.
Find the value of $$\sum_{x=1}^{30}f(x).$$
-
1
Welcome to math.SE. Since you are new, I want to let you know a few things about the site. In order ... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 6, "mathjax_display_tex": 5, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathhelpforum.com/pre-calculus/7705-what-domain-function-i-am-so-confused.html | # Thread:
1. ## What is the domain of this function? (I am so confused)
Hello.
I would like to ask what is the domain of the following fucnction.
y=(5x^x)^(x+1)
Our teachers tell us that the domain of a power function (A^X where A is constant and X is a variable) is that the base must be positive and must differ f... | {"extraction_info": {"found_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": 15, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://physics.stackexchange.com/questions/27565/status-of-local-gauge-invariance-in-axiomatic-quantum-field-theory/27567 | # Status of local gauge invariance in axiomatic quantum field theory
In his recent review...
• Sergio Doplicher, The principle of locality: Effectiveness, fate, and challenges, J. Math. Phys. 51, 015218 (2010), doi
...Sergio Doplicher mentions an important open problem in the program of axiomatic quantum field theor... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 22, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathhelpforum.com/differential-equations/108648-strange-step-used-solutions.html | # Thread:
1. ## strange step used in solutions
i wont write the whole question, but the term
$\frac{dy}{dx} \times \frac{1}{y}$
in the next line they change to
$\frac{d (ln(y))}{dx}$
i just dont see why you would be able to do that. none of the other terms in the equation (i havent written out) are changed. only thi... | {"extraction_info": {"found_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": 10, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://math.stackexchange.com/questions/tagged/graph-theory?sort=votes&pagesize=15 | # Tagged Questions
Use this tag for questions in graph theory. Here a graph is a collections of vertices and connecting edges. Use (graphing-functions) instead if your question is about graphing or plotting functions.
learn more… | top users | synonyms
2answers
499 views
### Counting trails in a triangular grid
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": 83, "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/A*_search_algorithm | # A* search algorithm
"A*" redirects here. For other uses, see A* (disambiguation).
Graph and tree
search algorithms
Listings
Related topics
In computer science, A* (pronounced "A star" ( listen)) is a computer algorithm that is widely used in pathfinding and graph traversal, the process of plotting an efficiently tr... | {"extraction_info": {"found_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": 74, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathhelpforum.com/differential-equations/184661-how-do-you-get-characteristic-equation-trickier-euler-equations.html | # Thread:
1. ## How do you get the characteristic equation of trickier Euler equations?
When dealing with 2nd order ODE's with constant coefficients, you have this:
$Ay'' + By' + Cy = 0$
which you can get the characteristic equation like so:
$Ar^2 + Br + C = 0$
Now, when dealing with Euler equations, you have thi... | {"extraction_info": {"found_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://mathoverflow.net/questions/24569/seeking-reference-for-the-enumerative-mass-formula-concept/24698 | ## Seeking reference for the enumerative “mass formula” concept
### Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points)
I am teaching a combinatorics class in which I introduced the notion of a "mass formula". My terminology is inspired by the Smith–Minkowski–Siegel 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": 5, "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/72342/which-finite-groups-have-exactly-2-conjugacy-classes-of-the-same-order-and-exactl | ## Which finite groups have exactly 2 conjugacy classes of the same order and exactly 2 irreducible characters of the same degree?
### Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points)
Dears
I have a interesting question,
Let G be a finite group with exactly 2 con... | {"extraction_info": {"found_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... |
http://math.stackexchange.com/questions/119357/definition-of-an-extreme-set?answertab=votes | # Definition of an extreme set?
I have an issue with a definition in Rudin's Functional Analysis in the paragraph regarding the Krein-Milman Theorem.
"Let $K$ be a subset of a vector space $X$. A nonempty set $S$ in $K$ is called an extreme set if no point of $S$ is an internal point of a line interval whose end poin... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 31, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://cs.stackexchange.com/questions/9274/bayesian-coding | # Bayesian Coding
Suppose you have a sequence generated by an i.i.d. process (such as repeatedly rolling a die and recording the values in order) parameterized by some K-dimensional vector $\vec{\gamma}$ (the probabilities associated with each side of the die), which is unknown. But, if you assume some distribution $Q... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 15, "mathjax_display_tex": 2, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://math.stackexchange.com/questions/25914/proof-by-strong-induction-every-natural-a-product-of-an-odd-and-a-power-of-2?answertab=active | # Proof by Strong Induction: every natural a product of an odd and a power of 2
Can someone guide me in the right direction on this question?
Prove that every $n$ in $\mathbb{N}$ can be written as a product of an odd integer and a non-negative integer power of $2$.
For instance: $36 = 2^2(9)$ , $80 = 2^4(5)$ , $17 =... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 78, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://www.advogato.org/person/ssp/diary.html | # Recent blog entries for ssp
Fast Multiplication of Normalized 16 bit Numbers with SSE2
If you are compositing pixels with 16 bits per component, you often need this computation:
```uint16_t a, b, r;
r = (a * b + 0x7fff) / 65535;
```
There is a well-known way to do this quickly without a division:
```uint32_t t;... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 108, "mathjax_inline_tex": 34, "mathjax_display_tex": 110, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/image... |
http://mathhelpforum.com/calculus/106228-product-rule-terms-implicit-differentiation.html | # Thread:
1. ## Product rule in terms of implicit differentiation
1) x^2 + xy - y^2 = 4
x^2 + x*y(x) - y(x)^2 = 4
I understand this much: 2x + ____ + 2y*(dy/dx) = 0
But I don't understand how to differentiate the middle portion properly. I'm assuming it's just the product rule, but doing it didn't lead me to the rig... | {"extraction_info": {"found_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": 3, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://www.physicsforums.com/showthread.php?t=153322&page=3 | Physics Forums
Page 3 of 5 < 1 2 3 4 5 >
## Derivation of the Equation for Relativistic Mass
Quote by bernhard.rothenstein Start with the identity (Rosser) g(u)=g(V)g(u')(1+u'V/cc) (1) Multiply both its sides with m (invariant rest mass) in order 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": 0, "mathjax_display_tex": 36, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathoverflow.net/questions/85920?sort=oldest | ## Least Prime Factors: found a counting formula for a given range — what is the standard approach?
### Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points)
Hi Everyone,
I am a math amateur who for the past year has been working on better understanding Bertrand's Post... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 23, "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/tagged/schemes+complex-geometry | # Tagged Questions
1answer
85 views
### Pullback of very ample sheaf again very ample? And other questions.
Let $S \subseteq \mathbb{P}^n$ be a smooth projective surface with given embedding in projective space. Moreover, let $X$ be another smooth surface and let there be a map $\pi: X \rightarrow S$ that ...
1answe... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 7, "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/244944/equivalence-of-definition-for-polarized-k3?answertab=active | # Equivalence of definition for polarized K3
In the literature there are two different definitions of polarized K3 surfaces.
1) A polarized K3 is the data $(X,\omega)$. Where $X$ is a K3 surface and $\omega$ is an ample class in $H^2(X,\mathbb{Z})$.
2) A polarized K3 is the data of a K3 surface $X$ together with a 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": 15, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathhelpforum.com/algebra/16598-simplifying-expression.html | # Thread:
1. ## Simplifying an expression
Hi, I'm trying to understand how this expression is simplified. (Disclaimer: I don't know how to get this expression into the text here - so have entered it in Grapher, taken a screenshot, and attached it. If anyone could point me to the relevant FAQ on how to enter this kind... | {"extraction_info": {"found_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": 4, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://physics.stackexchange.com/questions/15642/at-what-fraction-of-the-speed-of-light-have-people-traveled/15643 | # At what fraction of the speed of light have people traveled?
I'm guessing that, this would be someone in a rocket or something... When they hit their top speed, at what fraction of $c$ are they traveling?
-
4
lurscher's answer is absolutely correct... if you don't specify what the speed is relative to, the answer ... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 3, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://quant.stackexchange.com/questions/798/cost-function-for-hedging-portfolio/820 | # Cost function for hedging portfolio
Let's say I am hedging an exotic instrument $E$ with $N$ liquid instruments $L_i$, each of which has an associated hedging ratio $R_i$ and a bid-ask spread $\delta_i$ (per dollar of notional). What would you recommend as a cost function to balance the completeness of the hedge 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": 5, "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/259195/is-f-mathbb-z-times-mathbb-z-to-mathbb-z-fm-n-31m23n-injective | # Is $f:\mathbb Z \times \mathbb Z \to \mathbb Z$, $f(m,n)=31m+23n$ injective?
Is $f:\mathbb{Z} \times \mathbb{Z} \to \mathbb Z$, $f(m,n)=31m+23n$ injective?
-
## 2 Answers
1) Can you find $(m,n)$ such that $31m + 23n = 0$?
2) What happens if you multiply $31m + 23n = 0$ by some integer? Can you spot more solution... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 11, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://physics.aps.org/story/v2/st32 | # Focus: Nuclei Affect the Bounce of $H2$
Published December 22, 1998 | Phys. Rev. Focus 2, 32 (1998) | DOI: 10.1103/PhysRevFocus.2.32
#### Observation of Large Differences in the Diffraction of Normal- and Para- H2 from LiF(001)
M. F. Bertino, A. L. Glebov, J. P. Toennies, F. Traeger, E. Pijper, G. J. Kroes, an... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 4, "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/math-topics/37981-electromagnetic-induction.html | # Thread:
1. ## Electromagnetic induction
Can anyone help me derive an expression for the e.m.f induced in a coil rotating in a uniform magnetic field.
let
w= angular velocity etc..........
2. When the coil is rotated at a uniform rate in a uniform horizontal magnetic field of intensity $\vec{B}$, then the induced ... | {"extraction_info": {"found_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": 10, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://math.stackexchange.com/questions/185463/a-doubt-about-tensor-product-on-hilbert-spaces | A doubt about tensor product on Hilbert Spaces
An operator is a bounded (i.e., continuous) linear transformation between Hilbert spaces. Let $\mathcal{B}[\mathcal{H}]$ be the set of all operators in the Hilbert space $\mathcal{H}$.
Let $\mathcal{H}$ and $\mathcal{K}$ be any two Hilbert spaces. Consider $\mathcal{C}$ ... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 23, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://nrich.maths.org/5742/note | ### Cubes
Investigate the number of faces you can see when you arrange three cubes in different ways.
### I'm Eight
Find a great variety of ways of asking questions which make 8.
### Let's Investigate Triangles
Vincent and Tara are making triangles with the class construction set. They have a pile of strips of dif... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 18, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathblag.wordpress.com/ | # Which powers of 2 do not contain the digit 7?
Posted on December 9, 2012 by
Which powers of 2 do not contain the digit 7? A quick search reveals the following examples.
```2^0 = 1
2^1 = 2
2^2 = 4
2^3 = 8
2^4 = 16
2^5 = 32
2^6 = 64
2^7 = 128
2^8 = 256
2^9 = 512
2^10 = 1024
2^11 = 2048
2^12 = 4096
2^13 ... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 8, "mimetex.cgi": 0, "/images/mat... |
http://math.stackexchange.com/users/29788/camilla-vaernes?tab=activity | # Camilla Vaernes
reputation
5
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seen Feb 5 at 21:00
profile views 56
bio visits
101 reputation website member for 1 year
5 badges location seen Feb 5 at 21:00
# 34 Actions
Feb5 comment On the equivalence relatio... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 21, "mathjax_display_tex": 4, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://unapologetic.wordpress.com/2009/08/26/elementary-matrices/?like=1&source=post_flair&_wpnonce=a832ba55c5 | # The Unapologetic Mathematician
## Elementary Matrices
Today we’ll write down three different collections of matrices that together provide us all the tools we need to modify bases.
First, and least important, are the swaps. A swap is a matrix that looks like the identity, but has two of its nonzero entries in reve... | {"extraction_info": {"found_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": 23, "mimetex.cgi": 0, "/images/ma... |
http://polymathprojects.org/2012/06/12/polymath7-research-thread-1-the-hot-spots-conjecture/?like=1&_wpnonce=81a70c627a | # The polymath blog
## June 12, 2012
### Polymath7 research thread 1: The Hot Spots Conjecture
Filed under: hot spots,research — Terence Tao @ 8:58 pm
The previous research thread for the Polymath7 project ”the Hot Spots Conjecture” is now quite full, so I am now rolling it over to a fresh thread both to summarise ... | {"extraction_info": {"found_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": 231, "mimetex.cgi": 0, "/images/m... |
http://mathhelpforum.com/algebra/122276-why-wat-arbitrarily-used-there-mathemical-way-write.html | # Thread:
1. ## Why/wat is "arbitrarily" used (for) and is there a mathemical way to "write it"
Hi everyone,
First of all, I am not really sure wether I have posted this topic in the right section of the forum. If not, moderators, please move this topic to the correct forum :-).
I'm not from a country where English... | {"extraction_info": {"found_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": 10, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathhelpforum.com/trigonometry/172013-manning-formula-solution-angle-edges-water.html | # Thread:
1. ## Manning Formula Solution for Angle to edges of Water
$1-2R/r=(Sin G)/G$
Where G is the angle to the edges of the water and is less then Pi radians, from the centre of the pipe. R is a known from the Manning Formula as we solve for it from V and a known Slope. r is the radius of the pipe in Feet and 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": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 1, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://physics.stackexchange.com/questions/37818/electrical-resistance-and-chemistry | # Electrical Resistance and chemistry
Can some one describe or explain what happens when too much current is passed through lets say a copper wire, I am looking for an explanation to do with physics and chemistry.
For instance we have all heard about electrical resitance and ohms law on calculating this resistance bu... | {"extraction_info": {"found_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/109889/state-of-the-art-on-a-question-on-the-existence-of-dualizing-complex/109899 | ## State of the art on a question on the existence of dualizing complex
### Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points)
Let A be a noetherian ring and D(A) be the derived category of modules on A. Recall that a dualizing complex for A is an object R in D(A) 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... |
http://www.quantummatter.com/the-physical-origin-of-electron-spin/ | Milo Wolff's site on his
Space Resonance Theory.
A fresh look on
modern quantum physics.
Recent articles
# The Physical Origin of Electron Spin
September 13th, 2010 by Milo Wolff
## Abstract
It is shown how the spin of the electron and other charged particles arises out of the quantum wave structure of matter. Spi... | {"extraction_info": {"found_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": 76, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathoverflow.net/questions/105834/reference-request | ## Reference request
### Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points)
I am looking for a reference or proof for the following problem:
Problem: Let $r$ be prime, then $2r$ is a Sylow $p$-number if and only if $2r=1+p^{2^n}$. Thanks in advance.
-
5
You need 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": 12, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
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