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http://en.wikipedia.org/wiki/Square-cube_law | # Square-cube law
The square-cube law was first mentioned in Two New Sciences (1638).
The square-cube law (or cube-square law) is a mathematical principle, applied in a variety of scientific fields, which describes the relationship between the volume and the area as a shape's size increases or decreases. It was first... | {"extraction_info": {"found_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": 14, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathhelpforum.com/discrete-math/117068-sum-squares-even-numbers.html | # Thread:
1. ## Sum of squares of even numbers
What is the value of (sum of j2 where j is an element of S)
where S = {all even numbers greater than zero and less than 11}
2. I assume the expression is $\sum_{j\in S} j^2$ where $S=\{n\in\mathbb{N}\mid0< n<11,\ n\mbox{ is even}\}$. I don't really know what to say exce... | {"extraction_info": {"found_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://math.stackexchange.com/questions/207609/the-measurability-of-convex-sets?answertab=active | # The measurability of convex sets
How to prove the measurability of convex sets in $R^n$ ? I have seen a proof, but too long and not very intuitive.If you have seen any, please post it here.
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What do you know about the topological properties of convex sets and the Lebesgue Measure on $\mathbb{R}^n$? – Tim Duff Oct... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 28, "mathjax_display_tex": 5, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathoverflow.net/questions/108167/three-half-circles-on-the-plane-may-not-meet-nicely/108179 | ## Three half circles on the plane may not meet nicely
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Let $H$ denote the union of the northen hemisphere of the unit circle $S^{1}$ with the interval $[-1,1]$ on the $x$-axis. That is, $H=\{(x,\sqrt{1-x^{2}}):-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": 48, "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/85314/find-a-couple-of-integers-such-that-the-third-power-of-a-given-natural-can-be-wr?answertab=oldest | # Find a couple of integers such that the third power of a given natural can be written as the difference of the squares of those integers
Given a natural number $n$, find inegers $a, b$ such that $n^3=a^2-b^2$. I've tried, but I'm a bit rusty. Please Help
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Are you trying to characterize the numbers $n$ whose cubes... | {"extraction_info": {"found_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": 2, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://math.stackexchange.com/questions/189686/sum-of-infinite-series-with-each-element-containing-infinite-product | sum of infinite series with each element containing infinite product
We assume $a_j=f(j)$, where $\frac{\alpha}{j}\leq f(j)\leq c$ ($\alpha>1$ and $0<c<1$) for $j$ large enough. Basically, I want to calculate the order of the infinite series \begin{eqnarray*} \pi_j=\sum_{k=j}^{\infty}\frac{A_{j,k}}{(1-A_{j,k})^2}, \en... | {"extraction_info": {"found_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/143533/solving-induction-prod-limits-i-1n-1-left1-frac1i-righti-fra/143539 | # Solving Induction $\prod\limits_{i=1}^{n-1}\left(1+\frac{1}{i}\right)^{i} = \frac{n^{n}}{n!}$
I try to solve this by induction:
$$\prod_{i=1}^{n-1}\left(1+\frac{1}{i} \right)^{i} = \frac{n^{n}}{n!}$$
This leads me to: $$\prod_{i=1}^{n+1-1}\left(1+\frac{1}{i}\right)^{i} = \frac{(n+1)^{n+1}}{(n+1)!} = \frac{(n+1)^{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": 9, "mathjax_display_tex": 11, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathhelpforum.com/geometry/186946-bird-seed.html | # Thread:
1. ## The bird and the seed
There is this bird sitting on the top of the bar with length "L2".
The bird has to come down, pick a seed from the farm and go and sit on the top of the bar with length "L1".
The distance between the two bars is "S"
Propose an equation using which the bird will pass MINIMUM way... | {"extraction_info": {"found_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... |
http://physics.stackexchange.com/questions/tagged/theory | # Tagged Questions
Pertains to any question concerning the ideas that are formulated, whether mathematically or not, to explain or describe physical phenomena.
5answers
276 views
### Theoretical physics and education: Does it really matter a great deal about what happens inside a black hole, or about Hawking radiati... | {"extraction_info": {"found_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... |
http://nrich.maths.org/2664 | nrich enriching mathematicsSkip over navigation
### Qqq..cubed
It is known that the area of the largest equilateral triangular section of a cube is 140sq cm. What is the side length of the cube? The distances between the centres of two adjacent faces of another cube is 8cms. What is the side length of this cube? Anot... | {"extraction_info": {"found_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://www.nag.com/numeric/CL/nagdoc_cl23/html/F08/f08jgc.html | # NAG Library Function Documentnag_dpteqr (f08jgc)
## 1 Purpose
nag_dpteqr (f08jgc) computes all the eigenvalues and, optionally, all the eigenvectors of a real symmetric positive definite tridiagonal matrix, or of a real symmetric positive definite matrix which has been reduced to tridiagonal form.
## 2 Specifica... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 148, "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/m... |
http://mathoverflow.net/questions/48138/cochains-on-eilenberg-maclane-spaces | ## Cochains on Eilenberg-MacLane Spaces
### Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points)
Let $p$ be a prime number, let $k$ be a commutative ring in which $p=0$, and let $X = K( {\mathbb Z}/p {\mathbb Z}, n)$ be an Eilenberg-MacLane space. Let $F$ be the free $... | {"extraction_info": {"found_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": 1, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://hbfs.wordpress.com/2009/07/21/checksums-part-i/ | Harder, Better, Faster, Stronger
Explorations in better, faster, stronger code.
Checksums (part I)
I once worked in a company specializing in embedded electronics for industrial applications. In one particular project, the device communicated through a RS-422 cable to the computer and seemed to return weird data onc... | {"extraction_info": {"found_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": 11, "mimetex.cgi": 0, "/images/ma... |
http://gilkalai.wordpress.com/2009/09/06/answer-to-test-your-intuition-9/?like=1&source=post_flair&_wpnonce=18b5244a97 | Gil Kalai’s blog
## Answer to Test Your Intuition (9)
Posted on September 6, 2009 by
Two experimental results of 10/100 and 15/100 are not equivalent to one experiment with outcomes 3/200.
(Here is a link to the original post.)
One way to see it is to think about 100 experiments. The outcomes under the null hypoth... | {"extraction_info": {"found_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": 4, "mimetex.cgi": 0, "/images/mat... |
http://math.stackexchange.com/questions/288362/calculating-an-unknown-point-on-a-graph/288411 | # Calculating an unknown point on a graph
I have a load of data that consists of websites and the "power" of their backlinks. The lowest power is 1. The highest is 949876. The average is 6056.
I want to be able to assign a site a ranking from 1-100 that denotes how powerful they are. I thought I could do this using 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": 10, "mathjax_display_tex": 14, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/m... |
http://mathhelpforum.com/statistics/212982-probability-tail-followed-2-heads-biased-coin-print.html | # Probability of a tail followed by 2 heads on a biased coin
Printable View
• February 11th 2013, 10:09 PM
battery88
Probability of a tail followed by 2 heads on a biased coin
Suppose we have a biased coin for which the probability of heads is 3/4 while the probability of tails is 1/4 . What is the probability of a 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": 2, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathoverflow.net/revisions/115611/list | ## Return to Answer
3 edited body
Here's an example I learned from John Franks. This is a nice example because it's used to produce an example of Smale's sphere eversion problem. It also generalizes to include (for example) Will Sawin's comment above.
Consider the Boy's surface. This is an immersion of $\mathbb{R}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": 18, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathoverflow.net/questions/28695/what-should-we-teach-to-liberal-arts-students-who-will-take-only-one-math-course | ## What should we teach to liberal arts students who will take only one math course?
### Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points)
Even professors in academic departments other than mathematics---never mind other educated people---do not know that such a fie... | {"extraction_info": {"found_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": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathhelpforum.com/differential-equations/93761-2nd-order-ode-euler-equation.html | # Thread:
1. ## 2nd order ODE - Euler Equation
Given:
$2x^2y'' + 3xy' + (2x^2 - 1)y = 0$
Question:
Find the indicial equation and determine the two singular roots.
I know how to solve it when the equation is of the form:
$x^2y'' + \alpha xy' + \beta y$
However here, $\beta = 2x^2 - 1$ and is not a constant. How am... | {"extraction_info": {"found_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/225922/an-example-for-a-calculation-where-imaginary-numbers-are-used-but-dont-occur-in/231641 | # An example for a calculation where imaginary numbers are used but don't occur in the question or the solution.
In a presentation I will have to give an account of Hilbert's concept of real and ideal mathematics. Hilbert wrote in his treatise "Über das Unendliche" (page 14, second paragraph. Here is an English versio... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 86, "mathjax_display_tex": 21, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/m... |
http://mathhelpforum.com/calculus/176361-find-area-region-double-integration.html | # Thread:
1. ## Find the area of the region by double integration
The question states:
Find the area of the region by double integration.
The region inside the circle $r=4cos(\Theta)$ but outside the circle $r=2$.
I set up the problem with $\int_{0}^{2\pi} \int_{2}^{4cos\Theta} rdrd\Theta$
However, the answer I 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": 6, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://www.physicsforums.com/showthread.php?t=321144 | Physics Forums
## Why the sequence is not convergent?
In a book I am reading, they mention the following as an example of a Cauchy sequence which is not convergent:
Consider the set of all bounded continuous real functions defined on the closed unit interval, and let the metric of the set be
d(f,g)=$$\int_0^1 \! |f(x... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 5, "mathjax_display_tex": 21, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://math.stackexchange.com/questions/169900/what-is-the-3rd-side-length-of-isosceles-triangle | # What is The 3rd side length of Isosceles Triangle
I've a isosceles triangle which length is $10\;\mathrm{cm}$ , $10\;\mathrm{cm}$ and $x$. If I want to make this triangle $120^\circ$ degree then what should be the $x$?
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## 2 Answers
Angles opposite to equal sides are equal, so one angle is $120^0$ while others 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": 12, "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/313062/statistics-interval-estimation-proof | # Statistics - Interval Estimation - Proof
Please tell me how to start on this proof or give me some kind of hint. Please click on this link to see the question
Show that if $X_1,X_2,\dots,X_n$ denotes an iid sample from $N(\mu,\sigma^2)$ and $\sigma^2$ is known, then the best $(1-\alpha)100\%$ confidence interval 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": 6, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://quant.stackexchange.com/questions/652/enhancing-monte-carlo-convergence-crude-method/666 | # Enhancing Monte-Carlo convergence (crude method)
I am currently doing a project involving Monte-Carlo method. I wonder if there is papers dealing with a "learning" refinement method to enhance the MC-convergence, example :
Objective : estimate of $E(X)\thickapprox \sum _{i=1}^{10 000}X_i$
-> step 1 (500 simulation... | {"extraction_info": {"found_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://physics.stackexchange.com/questions/29908/how-is-calculated-the-potential-between-two-capacitors-in-series | # How is calculated the potential between two capacitors in series?
Suppose to have two capacitors in series:
The voltage in the middle point will be:
$$V_X = V_1 \frac{C_1}{C_1+C_2}$$
How can this be explained? It's been asked in electronics, and explained in terms of impedence and charge equality, but none of 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": 20, "mathjax_display_tex": 10, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/m... |
http://physics.stackexchange.com/questions/41210/proving-the-existence-of-the-magnetic-potential | Proving the existence of the magnetic potential
Suppose $\vec{B}$ is a differentiable vector field defined everywhere such that $\nabla\cdot \vec{B}=0$. Define $\vec{A}$ by the integral $$A_1=\int_0^1 \lambda(xB_2(\lambda x,\lambda y,\lambda z)- yB_3(\lambda x,\lambda y,\lambda z)) d\lambda$$ Together with its two cyc... | {"extraction_info": {"found_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": 3, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://stochastix.wordpress.com/tag/lti-systems/ | # Rod Carvalho
## Posts Tagged ‘LTI Systems’
### Feedback systems in Haskell
January 30, 2012
We recently studied the first-order causal LTI system which is described by the difference equation $y (n) - \alpha y (n-1) = u (n)$, where $|\alpha| < 1$. The system can be represented by the block diagram
Observing the ... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 144, "mimetex.cgi": 0, "/images/m... |
http://mathforum.org/mathimages/index.php?title=Parametric_Equations&diff=21328&oldid=20877 | # Parametric Equations
### From Math Images
(Difference between revisions)
| | | | ... | {"extraction_info": {"found_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": 20, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathoverflow.net/revisions/65810/list | ## Return to Question
2 Grammar, layout; edited title; edited body; edited body
# NeflinebundleonArethesetwodefinitionsofnef-nessequivalentfor Moishezon manifoldmanifolds?
Hi,everyone! Nowadays
Recently, I has have been learning something about nef line bundle,I bundles. I know that when $X$ is projective or Moishe... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 26, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathoverflow.net/questions/1312/gromov-witten-theory-and-compactifications-of-the-moduli-of-curves | ## Gromov-Witten theory and compactifications of the moduli of curves
### Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points)
Why, from a string theory perspective, is it natural to consider the Deligne-Mumford (resp. Kontsevich) compactification of the moduli of curv... | {"extraction_info": {"found_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": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathhelpforum.com/trigonometry/149173-question-cosine.html | # Thread:
1. ## A question on Cosine.
Hi all,
I did'nt know how to write formula here. So:
2. Originally Posted by Mathelogician
Hi all,
I did'nt know how to write formula here. So:
Hi,
(Edited)
The full theorem is: $\cos x=\cos a \Rightarrow x=2k\pi\pm a$ for some integer k. In other words, $\cos x=\cos a \Righta... | {"extraction_info": {"found_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": 47, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathhelpforum.com/advanced-algebra/67763-topology-open-set-question.html | # Thread:
1. ## Topology and Open Set Question
Define a topology on $\Re$(by listing the open sets within it) that contains the open set (0,2) and (1, 3) and that contains as few open sets as possible.
2. Originally Posted by r2dee6
Define a topology on $\Re$(by listing the open sets within it) that contains the ope... | {"extraction_info": {"found_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": 18, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://nrich.maths.org/2383 | ### F'arc'tion
At the corner of the cube circular arcs are drawn and the area enclosed shaded. What fraction of the surface area of the cube is shaded? Try working out the answer without recourse to pencil and paper.
### Plutarch's Boxes
According to Plutarch, the Greeks found all the rectangles with integer sides, ... | {"extraction_info": {"found_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://regularize.wordpress.com/2011/05/11/what-young-measures-can-tell-about-weak-convergence-of-non-linearly-distorted-functions/ | # regularize
Trying to keep track of what I stumble upon
May 11, 2011
## What Young measures can tell about weak-* convergence of non-linearly distorted functions
Posted by Dirk under Math | Tags: chi-function, functional analysis, weak* convergence, Young measure |
1 Comment
This entry is not precisely about some... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 143, "mimetex.cgi": 0, "/images/m... |
http://mathoverflow.net/questions/70248/searching-for-an-unabridged-proof-of-the-basic-theorem-of-morse-theory/70322 | ## Searching for an unabridged proof of “The Basic Theorem of Morse Theory”
### Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points)
Steven Smale labels the following statement "The Basic Theorem of Morse Theory" in A Survey of some Recent Developments in Differential ... | {"extraction_info": {"found_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": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://physics.stackexchange.com/questions/5373/quantum-death-like-heat-death-possible | # Quantum death like heat death possible?
Quantum decoherence is an irreversible process which is the result of interaction of the system with its environment. It prevents interference due to lack of coherence. Environment acts just like a heat bath. Now my question is, is the different branches of the wave function 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": 7, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://physics.stackexchange.com/questions/24010/the-equivalent-electric-field-of-a-magnetic-field?answertab=votes | # The equivalent electric field of a magnetic field
I know that Lorentz force for a charge $q$, with velocity $\vec{v}$ in magnetic field $\vec{B}$ is given by
$$\vec{F} =q \vec{v} \times \vec{B}$$
but there will exist a frame of reference where observer move at same velocity with that of charge $q$, so according 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": 24, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://physics.stackexchange.com/questions/tagged/hamiltonian-formalism+reference-request | # Tagged Questions
3answers
315 views
### Dirac equation as Hamiltonian system
Let us consider Dirac equation $$(i\gamma^\mu\partial_\mu -m)\psi =0$$ as a classical field equation. Is it possible to introduce Poisson bracket on the space of spinors $\psi$ in such a way that ...
4answers
588 views
### Lagrangian 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": 2, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathforum.org/mathimages/index.php?title=Divergence_Theorem&diff=6850&oldid=6807 | # Divergence Theorem
### From Math Images
(Difference between revisions)
Line 8: ... | {"extraction_info": {"found_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": 19, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://regularize.wordpress.com/2011/11/02/semi-continuous-sparse-reconstruction-and-compressed-sensing/ | # regularize
Trying to keep track of what I stumble upon
November 2, 2011
## Semi-continuous sparse reconstruction and compressed sensing
Posted by Dirk under Math, Regularization, Signal and image processing, Sparsity | Tags: Basis pursuit, compressed sensing, sparsity |
[7] Comments
How many samples are needed 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": 162, "mimetex.cgi": 0, "/images/m... |
http://unapologetic.wordpress.com/2010/07/12/the-radon-nikodym-chain-rule/?like=1&source=post_flair&_wpnonce=a082172354 | # The Unapologetic Mathematician
## The Radon-Nikodym Chain Rule
Today we take the Radon-Nikodym derivative and prove that it satisfies an analogue of the chain rule.
If $\lambda$, $\mu$, and $\nu$ are totally $\sigma$-finite signed measures so that $\nu\ll\mu$ and $\mu\ll\lambda$, then $\lambda$-a.e. we have
$\dis... | {"extraction_info": {"found_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": 37, "mimetex.cgi": 0, "/images/ma... |
http://mathhelpforum.com/pre-calculus/203283-few-exponential-problems.html | # Thread:
1. ## A Few exponential problems.
just need to get these questions out of the way, help is greatly appreciated.
first question.
The population of insects has been increasing exponentially by 15% per year how long will it take for the population to double.
*I take it i will need to create formule of someth... | {"extraction_info": {"found_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://nrich.maths.org/6629&part= | nrich enriching mathematicsSkip over navigation
### Overarch 2
Bricks are 20cm long and 10cm high. How high could an arch be built without mortar on a flat horizontal surface, to overhang by 1 metre? How big an overhang is it possible to make like this?
### Stonehenge
Explain why, when moving heavy objects on rolle... | {"extraction_info": {"found_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://quant.stackexchange.com/questions/4924/early-execise-of-american-call-on-non-dividend-paying-stock | # Early execise of American Call on Non-Dividend paying stock.
Let us consider an American call option with strike price K and the time to maturity be T. Assume that the underlying stock does not pay any dividend. Let the price of this call option is C$^a$ today (t = 0). Now, suppose that at some intermediate time 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": 8, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://ldtopology.wordpress.com/category/4-manifolds/ | # Low Dimensional Topology
## May 16, 2013
### Organizing knot concordance
Filed under: 3-manifolds,4-manifolds,knot concordance — Ryan Budney @ 10:10 am
Tags: 3-manifolds, 4-manifolds, knot concordance
I have a rather naive question for the participants here. I’m at the Max Planck 4-manifolds semester, currently ... | {"extraction_info": {"found_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": 7, "mimetex.cgi": 0, "/images/mat... |
http://math.stackexchange.com/questions/173093/homeomorphisms-of-x-form-a-topological-group | # Homeomorphisms of X form a topological group
So I'm just learning about the compact-open topology and am trying to show that for a compact, Hausdorff space ,$X$, the group of homeomorphisms of $X$, $H(X)$, is a topological group with the compact open topology. This topology has a subbasis of sets $\{f\in H(X):f(C)\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": 26, "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/140871/strongly-exposed-points-exposed-points | # Strongly exposed points/Exposed points
I was studying and I got the next doubt:
We suppose that $(X,\|\cdot\|)$ is a Banach space and $C$ it is a convex closed subset of X.
We say that $x\in C$ it is an exposed point of $C$ if $\exists x^*\in X^*$ such that $x$ it is the only one point of $C$ that $x^*(x)=\display... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 33, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://cms.math.ca/10.4153/CJM-2010-046-0 | Canadian Mathematical Society
www.cms.math.ca
| | | | |
|----------|----|-----------|----|
| | | | | | |
| Site map | | | CMS store | |
location: Publications → journals → CJM
Abstract view
Reducibility of the Principal Series for Sp~2(F) over a p-adic Fiel... | {"extraction_info": {"found_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": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://physics.stackexchange.com/questions/22215/what-physical-processes-may-underly-the-collisional-term-in-the-boltzmann-equati?answertab=votes | # What physical processes may underly the collisional term in the Boltzmann equation, and how do they increase entropy?
Consider particles interacting only by long-range (inverse square law) forces, either attractive or repulsive. I am comfortable with the idea that their behavior may be described by the collsionless ... | {"extraction_info": {"found_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://mathhelpforum.com/math-topics/180125-another-pulley-problem-resolving.html | # Thread:
1. ## Another pulley problem/resolving
Hey, another question whereby i don't get how my method gets the wrong answer.... solution is herehttp://clip2net.com/s/VKcK, question is here:part 1 and question i need help with
tension in the string is 6g, where g=9.8, sin theta is 3/5.
I resolve tension from the 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": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 4, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathhelpforum.com/advanced-algebra/159534-diagonalized-matrices.html | # Thread:
1. ## diagonalized matrices
Hi guys, I'm hoping you can help me. I'm sure I've done something wrong, though I can't figure out what. The question I have to answer is this:
Find invertible U and diagonal D such that $A = UDU^{-1}$. A is the matrix:
2, -4, 2
-4, 2, -2
2, -2, -1
I have found the three eigen... | {"extraction_info": {"found_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... |
http://mathoverflow.net/questions/29306/why-is-the-fibered-coproduct-of-affine-schemes-not-affine/29311 | ## Why is the fibered coproduct of affine schemes not affine?
### Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points)
I am confused about the following issue:
Let $X=SpecS$, $U_1=SpecR_1$, $U_2=SpecR_2$. and suppose we have maps $S \rightarrow R_1$, $S \rightarrow 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": 56, "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/295303/what-are-all-isometry-classes-of-the-2-sphere?answertab=votes | # What are all isometry classes of the 2-sphere?
In topology, one learns how to classify the compact surfaces up to homeomorphism. And in fact, since "homeomorphic" and "diffeomorphic" coincide in dimension 2, we can classify the compact (smooth) surfaces up to diffeomorphism.
This makes me wonder about classifying 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": 22, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://dsp.stackexchange.com/questions/tagged/kalman-filters | # Tagged Questions
The Kalman filter is a mathematical method using noisy measurements observed over time to produce values that tend to be closer to the true values of the measurements and their associated calculated values.
0answers
32 views
### (Unscented) Kalman Filter with variable state dimensions
i have to 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": 15, "mathjax_display_tex": 2, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://en.wikipedia.org/wiki/Noether's_theorem | # Noether's theorem
Noether's (first) theorem states that any differentiable symmetry of the action of a physical system has a corresponding conservation law. The theorem was proved by German mathematician Emmy Noether in 1915 and published in 1918.[1] The action of a physical system is the integral over time of a Lag... | {"extraction_info": {"found_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": 118, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/m... |
http://stats.stackexchange.com/questions/41374/is-there-any-identification-assumption-for-iv | # Is there any identification assumption for IV?
I am asking this because I know there are IA's for cross sectional estimators and D-in-D estimators, but am unsure if there are any for IV estimation. Does anyone know if there is or isn't, and if there is - what would it be?
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## 1 Answer
The instrumental variable $... | {"extraction_info": {"found_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://terrytao.wordpress.com/tag/orchard-planting-problem/ | What’s new
Updates on my research and expository papers, discussion of open problems, and other maths-related topics. By Terence Tao
# Tag Archive
You are currently browsing the tag archive for the ‘orchard planting problem’ tag.
## On sets defining few ordinary lines
24 August, 2012 in math.CO, paper | Tags: Ben ... | {"extraction_info": {"found_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": 124, "mimetex.cgi": 0, "/images/m... |
http://physics.stackexchange.com/questions/tagged/interactions | # Tagged Questions
The interactions tag has no wiki summary.
1answer
62 views
### How fair is it to say that all chemistry arises from failures of the ideal gas law?
I was reading here about how the ideal gas law assumes point masses and non-interaction. Is it fair to say that all chemistry arises from failures 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": 23, "mathjax_display_tex": 3, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathhelpforum.com/trigonometry/87231-trigonometric-identity-print.html | # trigonometric identity
Printable View
• May 3rd 2009, 05:29 PM
i_cow044
trigonometric identity
Hello, i was wondering if anyone could help me with this identity. cosθ + sinθtanθ = 1/cosθ. I've only started learning these and i'm already stuck on this one. I cannot figure it out, could someone show me the solution 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": 1, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://math.stackexchange.com/questions/211352/sum-of-the-alternating-series-sum-n-0-infty-1n-n1-n/211446 | sum of the alternating series $\sum_{n=0}^\infty (-1)^n (n+1)/n!$
Is there a nice way to see that the series $$\sum_{n=0}^\infty (-1)^n (n+1)/n!$$ converges to $0$? I just did the computation numerically. Thanks
-
2
Hint: compute $\sum_{n=1}^N (-1)^n (n+1)/n!$. To this end, write $\sum_{n=1}^N (-1)^n (n+1)/n!$ 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": 7, "mathjax_display_tex": 6, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://nrich.maths.org/7498/index?nomenu=1 | ## 'Walking the Squares' printed from http://nrich.maths.org/
### Show menu
So here's a special square of tiles to walk on!
The black square in the middle contains some very special prizes.
You can get the prizes by collecting tokens which are on each tile. So you have to step on as many tiles as possible.
BUT
You 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": 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/27175/analog-hawking-radiation | # Analog Hawking radiation
I am confused by most discussions of analog Hawking radiation in fluids (see, for example, the recent experimental result of Weinfurtner et al. Phys. Rev. Lett. 106, 021302 (2011), arXiv:1008.1911). The starting point of these discussions is the observation that the equation of motion for fl... | {"extraction_info": {"found_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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://cstheory.stackexchange.com/questions/tagged/quantum-information | # Tagged Questions
Theoretical issues related to the quantum treatment of information
1answer
85 views
### Why spectral norms are used for computing the complexity of adiabatic Hamiltonian?
In the context of adiabatic quantum computation the spectral norm was first used in the first adiabatic paper by Farhi et. 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": 26, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://crypto.stackexchange.com/questions/2816/how-secure-is-my-otp-program?answertab=oldest | # How secure is my OTP program?
I'm writing an One-Time Pad encryption program, because I got really interested in the idea of " encryption which has been proven to be impossible to crack if used correctly". I'm writing the program just for fun, as programming and cryptography is my hobby. Therefore, I don't expect 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": 6, "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/20954-exponents-square-roots.html | # Thread:
1. ## Exponents and square roots
For the question :
The square root of the fifth root of 4a^4
is the answer:
$2^\frac15a^\frac25$
that was the answer in my book and i do not understand how to get it.
2. $\sqrt {\sqrt[5]{{4a^4 }}} = \left( {\left( {4a^4 } \right)^{\frac{1}{5}} } \right)^{\frac{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": 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/Coplanarity | Coplanarity
In geometry, a set of points in space is coplanar if all the points lie in the same geometric plane. For example, three distinct points are always coplanar; but a fourth point or more added in space can exist in another plane, or, incoplanarly.
Two lines in three-dimensional space are coplanar if there 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": 16, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://en.wikipedia.org/wiki/Laplace_expansion | # Laplace expansion
This article is about the expansion of the determinant of a square matrix as a weighted sum of determinants of sub-matrices. For the expansion of an 1/r-potential using spherical harmonical functions, see Laplace expansion (potential).
In linear algebra, the Laplace expansion, named after Pierre-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": 54, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://unapologetic.wordpress.com/2010/08/09/completeness-of-the-metric-space-of-a-measure-space/?like=1&source=post_flair&_wpnonce=420e8d64d7 | # The Unapologetic Mathematician
## Completeness of the Metric Space of a Measure Space
Our first result today is that the metric space associated to the measure ring of a measure space $(X,\mathcal{S},\mu)$ is complete.
To see this, let $\{E_n\}$ be a Cauchy sequence in the metric space $\mathfrak{S}$. That is, for... | {"extraction_info": {"found_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": 32, "mimetex.cgi": 0, "/images/ma... |
http://mathoverflow.net/revisions/16849/list | Return to Answer
2 latex correction
The first reference attempts to solve this problem but only gives a partial answer. The second reference shows that every 3-manifold can be obtained by surgery on a link (but does not discuss Kirby calculus).
MR1075370 (91k:57019) Rêgo, Eduardo ; de Sá, Eugénia César . Special Hee... | {"extraction_info": {"found_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://crypto.stackexchange.com/questions/2856/md5-implementation-doubt | # MD5 implementation doubt
In MD5, there are four rounds. After every round, why do we need to add the computed Q values to the initial values and then take this value as input to the next round. For example after the first round, we compute Qnew1=Q60+Q-4, Qnew2=Q61+Q-3, Qnew3=Q62+Q-2, Qnew4=Q63+Q-1. Why cant we direc... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 13, "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/159562/rectangles-diagonal-calculation?answertab=oldest | # Rectangles Diagonal Calculation
I was having a problem with the following question, and could use some help:
If a rectangle with a perimeter of 48 inches is equal in area to a right triangle with legs of 12 inches and 24 inches, what is the rectangle's diagonal?
The answer to the above question is $12\sqrt{2}$. Fr... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 17, "mathjax_display_tex": 6, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://www.reference.com/browse/Word+metric | Definitions
Nearby Words
# Word metric
In group theory, a word metric on a group $G$ is a way to measure distance between any two elements of $G$. As the name suggests, the word metric is a metric on $G$, assigning to any two elements $g$, $h$ of $G$ a distance $d\left(g,h\right)$ that measures how efficiently their ... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 67, "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/13230/theorems-on-instability-of-classical-systems-of-charged-particles/13613 | # Theorems on instability of classical systems of charged particles?
Classically, a hydrogen atom should not be stable, since it should radiate away all its energy. I remember hearing from my favorite freshman physics prof ca. 1983 about a general theorem to the effect that all classical systems of charged particles 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": 3, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathoverflow.net/questions/tagged/algebraic-number-theory | ## Tagged Questions
1answer
206 views
### Simplifying an algebraic integer expression
I have an expression where the variables are algebraic integers: $p4 = \frac{p12 - p41 \cdot p21}{p22}$ p12 is degree 48 and p22 is most likely degree 48 too. p41 is degree 32 and …
0answers
366 views
### Orders in number fields
... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 46, "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/99221/does-n-log-n-or-log-nn-grow-faster/99223 | # Does $n^{\log n}$ or $(\log n)^n$ grow faster?
Which grows faster? $n^{\log n}$ or $(\log n)^n$ and how can we prove this?
This was presented as a "challenge question" for students to try ahead of the next class meeting. Any help would be appreciated!
-
## 2 Answers
Hint: take logarithms of both of these.
-
6
... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 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/196109/minimal-polynomial-of-a-matrix-over-a-field/196113 | # Minimal polynomial of a matrix over a field
I remember from my linear algebra courses that if I have a $n\times n$ matrix with coefficients in a field (denoted as $A$) and I have a polynomial $P$ over the field s.t. $P(A)=0$ and a decompostion $P=f(x)g(x)$ over the field then $f(A)=0$ or $g(A)=0$.
This was used 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": 44, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://conservapedia.com/Real_number | # Real number
### From Conservapedia
x2 − 5x + 6 = 0 x = ? This article/section deals with mathematical concepts appropriate for a student in mid to late high school.
The real numbers are a set of numbers with extremely important theoretical and practical properties. They can be considered to be the numbers used 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": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 15, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://physics.stackexchange.com/questions/20875/does-the-existence-of-dualities-imply-a-more-fundamental-structure | # Does the existence of dualities imply a more fundamental structure?
I was wondering if the existence of some kind of duality in physics always implies the existence of some underlying more fundamental structure/concept?
Let me give a few example from history:
1. Wave-particle duality$~\Rightarrow~$ Existence of 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": 7, "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/98925-factoring-polynomials-factoring-techniques.html | # Thread:
1. ## Factoring Polynomials and factoring techniques
Hello I have come across 4 questions that I simply can't solve with ease, I don't know if there is a universal factoring technique that I am unfamiliar with, but the process of solving the question seems very long and I would like to seek assistance in or... | {"extraction_info": {"found_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://www.physicsforums.com/showthread.php?t=328121 | Physics Forums
Recognitions:
Gold Member
## understanding angular momentum
I'm trying to wrap my head around angular momentum using the following setup:
There's a ball on a frictionless table that's connected to a string. The other end of the string is connected to a hole in the table. In the initial position the ba... | {"extraction_info": {"found_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": 19, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://unapologetic.wordpress.com/2008/03/09/functions-of-bounded-variation-iii/?like=1&source=post_flair&_wpnonce=18b5244a97 | The Unapologetic Mathematician
Functions of Bounded Variation III
I’ve been busy the last couple of days, so this post got delayed a bit.
We continue our study of functions of bounded variation by showing that total variation is “additive” over its interval. That is, if $f$ is of bounded variation on $\left[a,b\righ... | {"extraction_info": {"found_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": 43, "mimetex.cgi": 0, "/images/ma... |
http://physics.stackexchange.com/questions/7784/how-does-the-curvature-of-spacetime-induce-gravitational-attraction | # How does the curvature of spacetime induce gravitational attraction?
I don't know how to ask this more clearly than in the title.
-
4
Consider posting where you heard about this, what your current understanding is, and what, specifically, you find confusing about it. Right now we have no idea if we need to write 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": 4, "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/tagged/algebraic-number-theory+intuition | # Tagged Questions
1answer
126 views
### How can a subfield of an abelian extension fail to be cyclic when subjected to a norm-like condition. (How can I understand the supplied explanation)
I recently posted a question on MathOverflow (if you're interested it can be found here). While some answers were quickly prod... | {"extraction_info": {"found_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://mathhelpforum.com/advanced-algebra/130295-hnn-extension.html | # Thread:
1. ## HNN extension
I have a question.
Let $G=\langle b,t | t^{-1}b^{\beta}tb^{\beta} \rangle$ be a HNN extension of base group $\langle b \rangle$ with stable letter $t$.
Is it true that $\langle b \rangle \cap \langle t \rangle=1$?
I think is it true.
2. Originally Posted by deniselim17
I have a quest... | {"extraction_info": {"found_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": 23, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://math.stackexchange.com/questions/182046/the-emptiness-problem-for-lunatic-and-crazy-turing-machines | # The emptiness problem for “lunatic” and “crazy” Turing machines
Crazy Turing Machine is the same as Turing machine with one stripe , except of the fact that after each ten steps the head jumps back to the beginning of the stripe.
Lunatic Turing Machine is the same as Turing machine with one stripe , except of the 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": 3, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://www.reference.com/browse/electron%20spin | Definitions
# electron spin resonance (ESR)
or electron paramagnetic resonance (EPR)
Technique of spectroscopic analysis (see spectroscopy) used to identify paramagnetic substances (see paramagnetism) and investigate the nature of the bonding within molecules by identifying unpaired electrons and their interaction w... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 11, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathoverflow.net/questions/34016/what-are-the-k-rational-points-of-kt/34084 | What are the k-rational points of k[[t]]?
Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points)
Let $k$ be a field. What are the $k$-rational points of the affine $k$-scheme $\mathrm{Spec}(k[[t]])$, where $k[[t]]$ is the power series ring over $k$ (equivalently, what ar... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 43, "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/177704/taking-the-partial-derivative-of-benedict-webb-rubine-equation | # Taking The Partial Derivative Of Benedict-Webb-Rubine Equation
How do i begin taking the partial derivative of the below equation with respect to T?$$p = \frac{RT}{V}+\left(B_0 RT-A_0-\frac{C_0}{T^2}\right)\frac{1}{V^2}+(bRT-a)\frac{1}{V^3}+\frac{A\alpha}{V^6}+\frac{c\left(1+\frac{\gamma}{V^2}\right)}{T^2}\left(\fra... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 16, "mathjax_display_tex": 5, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathoverflow.net/questions/121735/recovering-an-abelian-category-out-of-its-derived-category | ## Recovering an abelian category out of its derived category
### Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points)
I'm trying to learn more about derived category stuff and my curiosity has made me to ask these questions. Sorry if I'm being sloppy, I'm a new learne... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 3, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://physics.stackexchange.com/questions/tagged/centrifugal-force+orbital-motion | # Tagged Questions
1answer
150 views
### Condition for circular orbit
I am a little confused about the condition for circular orbit. Goldstein's Classical Mechanics has the condition for circular orbit as $$f^'=0\tag1$$ where $f^'$ is the effective force. I understand ...
4answers
624 views
### Increasing mass' eff... | {"extraction_info": {"found_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://projecteuclid.org/DPubS?service=UI&version=1.0&verb=Display&handle=euclid.hmj/1333113006 | ### Paperfolding sequences, paperfolding curves and local isomorphism
Francis Oger
Source: Hiroshima Math. J. Volume 42, Number 1 (2012), 37-75.
#### Abstract
For each integer $n$, an $n$-folding curve is obtained by folding $n$ times a strip of paper in two, possibly up or down, and unfolding it with right angles. ... | {"extraction_info": {"found_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://dwave.wordpress.com/category/quantum-computer-programming/ | # Sparse coding on D-Wave hardware: structured dictionaries
Posted on April 29, 2013 by
The underlying problem we saw last time, that prevented us from using the hardware to compete with tabu on the cloud, was the mismatch of the connectivity of the problems sparse coding generates (which are fully connected) and the... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 94, "mimetex.cgi": 0, "/images/ma... |
http://mathhelpforum.com/advanced-algebra/58660-direct-products.html | # Thread:
1. ## direct products
Show that the center of a direct product is the direct product of centers:
$Z(G_1$ x $G_2$ x ... x $G_n)=Z(G_1)$ x $Z(G_2)$ x ... x $Z(G_n)$.
Deduce that a direct product of groups is abelian if and only if each of the factors is abelian.
I know that $G_1$x $G_2$ x ... x $G_n$ is isom... | {"extraction_info": {"found_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... |
http://mathhelpforum.com/calculus/72901-finding-area-bounded-two-cardioids.html | # Thread:
1. ## Finding area bounded by two cardioids
Find the region common to the interiors of the cardioids r=1+costheta and r=1-costheta
-I understand what the picture looks like I'm having difficulty with the limits of integration. Since both the circles are the same you can find the area of the top one and mul... | {"extraction_info": {"found_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://mathhelpforum.com/calculus/110607-find-d-such-f-x-converges.html | # Thread:
1. ## Find d such that f(x) converges
EDIT: I see now to late that the title of the thread says: "Find d..." , but it is supposed to be: "Find c..."
Let:
$f(x)=x-(4+x^4+x^6)^c$
The question is, what is c such that when $x\to\infty$ $f(x)\to k$
where k is some finite number.
Now what I did is something li... | {"extraction_info": {"found_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://math.stackexchange.com/questions/2048/solutions-to-power-equations | # Solution(s) to 'power equations'
I'm not sure a 'power equation' is the right name for the equation I'd like to know more about (and, specifically, about its solutions), but I don't know the 'proper' way to name it.
The simplest 'power polynomial' is : $P(x) = x^x$. The simplest 'power equation is: (1) $x^x = c$ 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": 16, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://unapologetic.wordpress.com/2008/12/09/direct-sums-of-representations/?like=1&_wpnonce=76a2d9cd23 | # The Unapologetic Mathematician
## Direct Sums of Representations
We know that we can take direct sums of vector spaces. Can we take representations $\rho:A\rightarrow\mathrm{End}(V)$ and $\sigma:A\rightarrow\mathrm{End}(W)$ and use them to put a representation on $V\oplus W$? Of course we can, or I wouldn’t be maki... | {"extraction_info": {"found_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": 30, "mimetex.cgi": 0, "/images/ma... |
http://quant.stackexchange.com/questions/7048/other-means-of-calibrating-heston-models/7051 | # Other means of calibrating Heston models
I understand that the simplest way of calibrating a Heston model for volatility surface is to use Monte-Carlo to simulate the vol and stock price trajectories and then use the observed price to do a optimization.
However, I am just wondering if there is a more "clean" way 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": 9, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://terrytao.wordpress.com/tag/permutations/ | What’s new
Updates on my research and expository papers, discussion of open problems, and other maths-related topics. By Terence Tao
# Tag Archive
You are currently browsing the tag archive for the ‘permutations’ tag.
## The number of cycles in a random permutation
23 November, 2011 in expository, math.CO, math.PR... | {"extraction_info": {"found_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": 43, "mimetex.cgi": 0, "/images/ma... |
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