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http://gilkalai.wordpress.com/2008/12/23/seven-problems-around-tverbergs-theorem/?like=1&source=post_flair&_wpnonce=0619346065 | Gil Kalai’s blog
Seven Problems Around Tverberg’s Theorem
Posted on December 23, 2008 by
Imre Barany, Rade Zivaljevic, Helge Tverberg, and Sinisa Vrecica
Recall the beautiful theorem of Tverberg: (We devoted two posts (I, II) to its background and proof.)
Tverberg Theorem (1965): Let $x_1,x_2,\dots, x_m$ be points... | {"extraction_info": {"found_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": 90, "mimetex.cgi": 0, "/images/ma... |
http://mathoverflow.net/questions/56936/smoothness-of-solution-for-second-order-elliptic-problem/57069 | ## smoothness of solution for second order elliptic problem
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Hello all,
could someone point me to a reference that ties the smoothness of the solution $u$ to the classical elliptic problem
$\nabla \cdot ( q \nab... | {"extraction_info": {"found_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": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathhelpforum.com/pre-calculus/120344-inequality.html | # Thread:
1. ## inequality
Solve the inequality |x+4|+|x-1|>5 .
I know the strategy here is to get rid of the modulus by picking cases .
my questino here is how to pick these cases ?
2. Originally Posted by hooke
Solve the inequality |x+4|+|x-1|>5 .
I know the strategy here is to get rid of the modulus by picking... | {"extraction_info": {"found_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://www.scholarpedia.org/article/Fuzzy_sets | # Fuzzy sets
From Scholarpedia
Milan Mares (2006), Scholarpedia, 1(10):2031.
Curator and Contributors
1.00 - Milan Mares
Figure 1: Bird's-eye view on a forest: Where is the boundary of the forest? Which location is in the forest and which is out of it? (See explanation in the text.)
Fuzzy set is a mathematical mod... | {"extraction_info": {"found_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": 60, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/m... |
http://mathoverflow.net/questions/67903?sort=votes | ## Complex manifolds in which the exponential map is holomorphic
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Let $X$ be a complex manifold and $g$ a hermitian metric on $X$. Consider the Riemannian exponential $\exp_p: T_p X \to X$.
If $\exp_p$ is holomorp... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 67, "mathjax_display_tex": 3, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathoverflow.net/questions/13171?sort=oldest | ## How many trial picks expectedly sufficient to cover a sample space?
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Consider a sequence of independent events where an $r$ element subset of an $n$ element set is picked uniformly randomly (ie. any of the $\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": 50, "mathjax_display_tex": 6, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathoverflow.net/revisions/107884/list | ## Return to Answer
2 added 225 characters in body; added 20 characters in body
First, let me point out that $H^i(\tilde{X}, O_{\tilde{X}}) \cong H^i(X, O_X)$ if $X$ has rational singularities for all $i > 0$.
Indeed, if $X$ has rational singularities if and only if
1. $R^j \pi_* O_{\tilde X} = 0$ for $j > 0$ and
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": 41, "mathjax_display_tex": 9, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://math.stackexchange.com/questions/tagged/median+uniform-distribution | # Tagged Questions
1answer
240 views
### median of a uniform distribution [0,1]
I need to find the distribution of the median from the given distribution, where n is known to be odd. The formula given in class for this is: $n=2m+1$ where $m\in\mathbb{N}$ ... | {"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": 2, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathhelpforum.com/differential-equations/137312-solved-verify-solution-2nd-order-eqn-taking-real-part.html | # Thread:
1. ## [SOLVED] Verify solution for 2nd order eqn. by taking real part....
Find the particular solutions of $y_{p}(t)$ for the DEs:
$y''+B^{2}y=cos(wt)$ and
$y''+B^{2}y=sin(wt)$
by taking both the real and imaginary parts of the solution:
$z_{p}=\dfrac{sin((w-B)\dfrac{t}{2})}{(w-B)\dfrac{1}{2}} \dfrac{e^{i(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": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 9, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://physics.aps.org/articles/v2/73 | # Viewpoint: For faster magnetic switching—destroy and rebuild
, Institute of Solid State Research, IFF-9, Forschungszentrum Jülich GmbH, D-52425 Jülich, Germany
Published September 8, 2009 | Physics 2, 73 (2009) | DOI: 10.1103/Physics.2.73
Magnetic switching is typically a continuous process, where a field pulse... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 15, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://math.stackexchange.com/questions/189621/is-tan-pi-2-undefined-or-infinity?answertab=active | # Is $\tan(\pi/2)$ undefined or infinity?
The way I have understood, $0/0$ is undefined or indeterminate because, if $c=0/0$ then $c\cdot 0=0$, where $c$ can be any finite number including $0$ itself.
If we also observe a fraction $F=a/b$ where $a,b$ are positive real numbers, the value of $F$ increases with the decr... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 39, "mathjax_display_tex": 2, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathoverflow.net/revisions/52037/list | ## Return to Answer
1 [made Community Wiki]
From my perspective as an analyst, non-metrizable spaces usually arise for one of the following reasons:
1. Separation axiom failure: the space is not, e.g., normal. This mostly happens when the space is not even Hausdorff (spaces that are Hausdorff but not normal are usua... | {"extraction_info": {"found_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/321105/finding-eigenvectors-and-eigenvalues-of-a-matrix-with-complex-numbers | # Finding eigenvectors and eigenvalues of a matrix with complex numbers
I need to find eigenvectors and eigenvalues of $\begin{pmatrix} 1 & i \\ -i & 1 \end{pmatrix}$.
Attempt: When I find the equation which I have to solve for the eigenvalues I get $(\lambda -1)^2 +i=0$. Solving for $\lambda$ I get $\lambda =\pm \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": 10, "mathjax_display_tex": 4, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://gmc.yoyogames.com/index.php?showtopic=530915&page=1 | # Rotation Matrices
Started by , Feb 05 2012 03:07 AM
4 replies to this topic
hit172
GMC Member
• New Member
• 189 posts
• Version:GM8
Posted 05 February 2012 - 03:07 AM
In a rotation matrix are the rows of the matrix the 3 axes of the specified rotation such that row 1 is the right/left vector, row 2 is the up ... | {"extraction_info": {"found_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://math.stackexchange.com/questions/253958/how-to-show-that-the-complete-elliptic-integral-of-the-first-kind-increases-in-m/253976 | # How to show that the Complete Elliptic Integral of the First Kind increases in m?
How can you show that the complete elliptic integral of first kind $\displaystyle K(m)=\int_0^\frac{\pi}{2}\frac{\mathrm du}{\sqrt{1-m^2\sin^2 u}}$ that is the same as a series $$K(m)=\frac{\pi}{2} \left(1+\left(\frac{1}{2}\right)^{2}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": 6, "mathjax_display_tex": 2, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathoverflow.net/questions/50712?sort=votes | ## Derivative of Exponential Map
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Given a Riemannian manifold $M$, let $\gamma: (a,b) \to M$ be a geodesic and $E$ a parallel vector field along $\gamma$. Define $\varphi: (a,b) \to M$ by $t \mapsto \exp_{\gamma(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": 39, "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/27929/examples-of-statements-that-provably-cant-be-proved-using-a-promising-looking-me/112549 | ## Examples of statements that provably can’t be proved using a promising looking method
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Motivation: In Razborov and Rudichs article "Natural proofs" they define a class of proofs they call "natural proofs" and 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": 37, "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/education?page=2&sort=votes&pagesize=15 | # Tagged Questions
How is physics taught and learned. Teaching strategies, class examples and demonstrations; learning resources, career advice, etc. For explicit problems, use the 'homework' tag instead.
2answers
320 views
### How can some-one independently do research in particle physics?
I'm not affiliated with ... | {"extraction_info": {"found_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": 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=115499&page=3 | Physics Forums
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## Basic problems
Quote by EL
Thank you El, certainly there is much ongoing research and discussion needed. My main point was to counter the accusation that the PA was caused by some kind of incompetence or "questionable... | {"extraction_info": {"found_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://mathhelpforum.com/algebra/209566-polynomial-reduction-help.html | # Thread:
1. ## Polynomial Reduction Help
Reduce to lowest terms:
$\frac {x^3+x^2+x+1}{x^3+3x^3+3x+1}$
I don't see how this can be factored to be reduced. Thanks.
The answer is $\frac{x^2+1}{x^2+2x+1}$
2. ## Re: Polynomial Reduction Help
Just to be sure, is that really $3x^3$ for the second term in the denominator... | {"extraction_info": {"found_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/333918/discrete-mathematics | # Discrete Mathematics
1.) Determine whether each of the following relations is a function with domain {1,2,3,4}. For any relation that is not a function, explain why it isn't.
a.) f={1,1), (2,1), (3,1), (4,1), (3,3)}. - The answer in back of the book states the following: "Not a function; f contains two different pa... | {"extraction_info": {"found_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": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://physics.stackexchange.com/questions/28673/coulombs-law-why-is-k-dfrac14-pi-epsilon-0/28682 | # Coulomb's Law: why is $k = \dfrac{1}{4\pi\epsilon_0}$
This was supposed to be a long question but something went wrong and everything I typed was lost. Here goes.
1. Why is $k = \dfrac{1}{4\pi\epsilon_0}$ in Coulomb's law?
2. Is this an experimental fact?
3. If not, what is the significance of this definition?
-... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 50, "mathjax_display_tex": 4, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathhelpforum.com/calculus/60026-proof-derivation-product-rule.html | # Thread:
1. ## proof of derivation product rule
I have question regarding to product rule.
We know that derivative of y with respect to x is:
$<br /> \frac{dy}{dx} = f'(x) = \lim_{h\rightarrow 0} \: \frac{f(x+h) - f(x)}{x+h-x} = \lim_{h\rightarrow 0} \: \frac{f(x+h) - f(x)}{h} = \frac{\Delta y}{\Delta x}$
Now I'm ... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 24, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://math.stackexchange.com/questions/69774/is-the-class-of-cardinals-totally-ordered | # Is the class of cardinals totally ordered?
In a Wikipedia article
http://en.wikipedia.org/wiki/Aleph_number#Aleph-one
I encountered the following sentence:
"If the axiom of choice (AC) is used, it can be proved that the class of cardinal numbers is totally ordered."
But isnt't the class of ordinals totally 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": 36, "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/112658/set-exponentiation-is-y-always-disjoint-from-yx-closed | ## Set Exponentiation: Is Y always disjoint from Y^X? [closed]
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If $y \in Y$ and $g \in Y^X$, we often write $y+g$ as shorthand for the map $x \mapsto y+ g(x)$. Similarly if $f \in Y^X$ then $f+g = x \mapsto 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": 55, "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/270995/how-to-get-coordinates-of-point-knowing-distance-from-x-y-and-angle | # How to get coordinates of point knowing distance from x,y and angle?
I have such a problem :
I am given :
• x,y
• $\|a\|$
• $\alpha$
• $\vec{v}$ and $\|v\|$
I need to get the coordinates of point X1Y2.
-
## 2 Answers
Use this fact that for two vector $v=(x_1,x_2),w=(y_1,y_2)$ we can evaluate $v.w$, the dot pro... | {"extraction_info": {"found_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": 3, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://math.stackexchange.com/questions/25333/why-does-0-1 | # Why does 0! = 1? [duplicate]
Possible Duplicate:
Prove $0! = 1$ from first principles
Why does 0! = 1?
All I know of factorial is that x! is equal to the product of all the numbers that come before it. The product of 0 and anything is 0, and seems like it would be reasonable to assume that 0! = 0. I'm perplexed 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": 27, "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/295802/inductive-prove-sum-k-1n-binom-n-k-2n-1 | # inductive prove$\sum_{k=1}^{n} \binom n k = 2^n -1$
today i wrote calculus exam, i had this problem given, which was to prove by induction: $$\sum_{k=1}^{n} \binom n k = 2^n -1$$ for all $n\in \mathbb{N}$
i have the feeling that i will get $0$ points for my solution, because i did this:
Base Case: $n=1$
$$\sum_{k=... | {"extraction_info": {"found_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": 14, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/m... |
http://mathhelpforum.com/pre-calculus/160954-points-intersection.html | # Thread:
1. ## points of intersection
$y=x^3-2x+1$
$y=x^2$
The question says to use the bisection method to find the points of intersection of the 2 curves. I know how to use the bisection method to find the root of an equation (like on this page First Steps in Numerical Analysis), but how would I use it to find th... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 7, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathoverflow.net/questions/3639/what-does-ramification-have-to-do-with-separability | ## What does ramification have to do with separability?
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Does ramification have anything to do with inseparability? It feels like an extension of Q in which p ramifies should somehow correspond to an extension 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": 4, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://en.wikipedia.org/wiki/Molecular_modeling | # Molecular modelling
(Redirected from Molecular modeling)
The backbone dihedral angles are included in the molecular model of a protein.
Modeling of ionic liquid
Molecular modeling encompasses all theoretical methods and computational techniques used to model or mimic the behaviour of molecules. The techniques are u... | {"extraction_info": {"found_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": 3, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://physics.stackexchange.com/questions/31451/adding-rotation-to-internal-coordinates/32138 | # Adding rotation to internal coordinates
I'm optimizing the geometry of a system composed of several interacting masses (a molecule). The energy of the system depends on the relative position of the masses, and all velocities are zero.
In a simple case, the energy is invariant with translation and rotation of the wh... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 82, "mathjax_display_tex": 13, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/m... |
http://mathhelpforum.com/pre-calculus/22649-stuck-maths-home-work.html | # Thread:
1. ## Stuck on Maths Home work :(
Hi, can you help me please, whats the range?
2. Originally Posted by joe_07
Hi, can you help me please, whats the range?
the range is the set of output values (usually y-values) for which a function is defined. so, for example, the range of $y = x^2$ is $y \in [0, \infty)$... | {"extraction_info": {"found_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://math.stackexchange.com/questions/106191/probability-selection-from-a-collection-of-100?answertab=active | # probability (selection from a collection of 100)
Suppose a microprocessor is chosen at random from a collection of 100. Assume 20 are Intels and 80 are AMDs. Also assume that 10 of the Intels are 2.0 GHz. What is the probability that the selected microprocessor is 2.0 GHz given that it is an Intel?
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## 2 Answers
... | {"extraction_info": {"found_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://mathhelpforum.com/calculus/205284-minimize-function-subject-constraint.html | # Thread:
1. ## minimize function subject to constraint
could you help to minimize function F = x^2+y^2 subject to constraint:
1-x<0
2-0.5x-y<=0
x+y-4<0
and is there difference in solving the problem if we say insted of < say <=
2. ## Re: minimize function subject to constraint
please any body can help me to so... | {"extraction_info": {"found_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://crypto.stackexchange.com/questions/1692/how-much-can-we-compress-rsa-public-keys/1695 | # How much can we compress RSA public keys?
I am wondering to what degree we can define an RSA variant, with a security argument that it is as safe as regular RSA with a given modulus size $m$ (e.g. $m=2048$), in which the public key has a compact representation of $k \ll m$ bits.
We can fix the public exponent to ou... | {"extraction_info": {"found_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": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathhelpforum.com/differential-geometry/142890-proof-working-derivatives-possibly-mean-value-theorem.html | # Thread:
1. ## proof: working with derivatives, possibly mean value theorem?
Let f:R-->R be differentiable for all x. Suppose that f'(x)>1 for all x. Show that the graph of y=f(x) can intersect the graph of y=x no more than once.
I have no idea where to even begin... any ideas?
2. Originally Posted by sfspitfire23... | {"extraction_info": {"found_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://math.stackexchange.com/questions/56067/how-to-interpret-the-phrase-transforms-under-the-irreducible-representation/56278 | How to interpret the phrase “transforms under the irreducible representation”?
I'm reading Robert Gilmore's "Lie Groups, Physics, and Geometry," and trying to understand his brief presentation of Galois theory. I think I get the gist of the method, but would be grateful for help understanding some details. Let me firs... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 194, "mathjax_display_tex": 10, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/... |
http://mathoverflow.net/revisions/80786/list | ## Return to Question
2 added 15 characters in body
A recent question(http://mathoverflow.net/questions/80770/reference-request-riemanns-existence-theorem) reminded me of a question I've had in the back of my mind for a long time. It is said that Grothendieck wanted the center-piece of SGA1 to be a completely algebra... | {"extraction_info": {"found_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://mathoverflow.net/questions/108997?sort=votes | ## The cycle structure of twisted wires, connected
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Suppose you have $n$ (blue) wires linearly arrayed at junction box $A$, connected to a remote junction box $B$, where the wires are now arrayed along a line in 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": 57, "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/250/a-challenge-by-r-p-feynman-give-counter-intuitive-theorems-that-can-be-transl/260 | # A challenge by R. P. Feynman: give counter-intuitive theorems that can be translated into everyday language
The following is a quote from Surely you're joking, Mr. Feynman . The question is: are there any interesting theorems that you think would be a good example to tell Richard Feynman, as an answer to his challen... | {"extraction_info": {"found_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://mathoverflow.net/revisions/38392/list | ## Return to Answer
5 typo
The main thing to visualize is the Hopf fibration of $S^2$, its suspensions, and their various compositions.
Let $f \colon S^3 \to S^2$ be the Hopf fibration.
When you suspend $f$ to get $g \colon S^4 \to S^3$, you effectively embed a 2-sphere as the equator of a 3-sphere and extend the 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": 72, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://advogato.org/person/ssp/diary/19.html | #### 17 Mar 2013 ssp»(Master)
Porter/Duff Compositing and Blend Modes
In the Porter/Duff compositing algebra, images are equipped with an alpha channel that determines on a per-pixel basis whether the image is there or not. When the alpha channel is 1, the image is fully there, when it is 0, the image isn’t there at ... | {"extraction_info": {"found_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": 53, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://physics.stackexchange.com/questions/24495/metric-signature-explanation?answertab=votes | # metric signature explanation
Can anyone explain what metric signature is?
I have a basic knowledge regarding tensors, btw.
Also, how is it related to fundamental understanding of general relativity?
Thanks.
-
Do you know what the metric tensor is, or should we explain that before explain what it's signature mea... | {"extraction_info": {"found_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": 4, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://math.stackexchange.com/questions/tagged/continued-fractions+dirichlet-series | # Tagged Questions
0answers
166 views
### How to simplify $\newcommand{\bigk}{\mathop{\vcenter{\hbox{K}}}}\prod_{p\in\mathbb{P}}\left(1+\bigk_{k=1}^{\infty }\frac{f_k(s)}{g_k(s)}\right)^{-1}$
I'd like to simplify $$\newcommand{\bigk}{\mathop{\huge\vcenter{\hbox{K}}}}B(s)=\prod_{p\in\mathbb{P}}\left(1+\bigk_{k=1}^{\i... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathhelpforum.com/business-math/205113-npv-automobile-dealer.html | # Thread:
1. ## NPV of an Automobile Dealer
See figure attached for the question.
I have concerns regarding the way the question is worded.
Does the company incur Revenue/O&M/Savings at the end of the 1st year,(i.e. immediately after the building is constructed) or at the end of the 2nd year?
When I read the 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": 7, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://physics.stackexchange.com/questions/tagged/lagrangian-formalism%20energy-conservation | Tagged Questions
0answers
174 views
Classical Mechanics: A particle move in one dimension under the influence of two springs [closed]
A particle of mass $m$ can move in one dimension under the influence of two springs connected to fixed points a distance $a$ apart (see figure). The springs obey Hooke’s law and have ... | {"extraction_info": {"found_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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathoverflow.net/questions/104962/maximum-number-of-generators-of-a-curve-in-mathbbp3 | Maximum number of generators of a curve in $\mathbb{P}^3$
Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points)
Let $H_{d,g}$ denote the Hilbert scheme of curves of degree $d$ and genus $g$ locally of complete intersection in $\mathbb{P}^3$. Given a curve $C \in H_{d,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": 18, "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/43164/if-1-screw-can-support-120-lbs-how-much-weight-can-25-screws-support/43179 | # If 1 screw can support 120 lbs, how much weight can 25 screws support?
While this is mainly about my personal home improvement project, I figure this would be a good opportunity for some of you to apply your physics skills to a real-world situation.
My situation is this: I am hanging 500 lbs of drywall (two layers ... | {"extraction_info": {"found_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://mathoverflow.net/questions/108439/reference-needed-for-negative-curves-on-blowup-of-the-projective-plane-at-generic/108445 | ## Reference needed for negative curves on blowup of the projective plane at generic points
### Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points)
Hello,
I usually see the following theorem without seeing any reference or explanation
Theorem: Let X be a blowup 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": 58, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathematica.stackexchange.com/questions/21484/how-to-solve-this-system-of-equations/21486 | # How to solve this system of equations?
I want to solve the following system of equations:
$$\begin{cases} 1+\sqrt{2 x+y+1}=4 (2 x+y)^2+\sqrt{6 x+3 y},\\ (x+1) \sqrt{2 x^2-x+4}+8 x^2+4 x y=4. \end{cases}$$ I tried
````Reduce[{ 1 + Sqrt[2 x + y + 1] == 4 (2 x + y)^2 + Sqrt[6 x + 3 y],
(x + 1) Sqrt[2 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": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://www.purplemath.com/learning/viewtopic.php?f=14&t=1478&p=4494 | # The Purplemath Forums
Helping students gain understanding and self-confidence in algebra.
## Cross-sectional volume question?
Limits, differentiation, related rates, integration, trig integrals, etc.
2 posts • Page 1 of 1
### Cross-sectional volume question?
by Thatguy73 on Wed Aug 18, 2010 2:07 am
So I would 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": 0, "wp_latex": 0, "mimetex.cgi": 21, "/images/ma... |
http://physics.stackexchange.com/questions/26797/why-does-work-equal-force-times-distance/27807 | # Why does work equal force times distance?
My 'government-issued' book literally says:
Energy is the capacity to do work and work is the product of net force and the 1-dimensional distance it made a body travel while constantly affecting it.
I didn't want to say it, but what!?
Seriously though; why does work equal... | {"extraction_info": {"found_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": 15, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/m... |
http://mathoverflow.net/questions/14431/pigeonhole-principle-for-infinite-case/14466 | ## Pigeonhole Principle for infinite case
### Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points)
Suppose $X_n$ are finite sets for any natural integer $n$. let $Y$ be an infinite subset of $\prod_n X_n$. Do there exist $y$ and $y'$ in $Y$ and an infinite subset $S$ 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": 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/57638/integrating-over-a-geodesic | # integrating over a geodesic
Suppose $\mathcal{M}$ is a Riemannian manifold with the volume measure $d\mu$(induced by the Riemannian metric ) and $\gamma$ is a geodesic on $M$. Is it true that $$\int_{\gamma}fd\nu\leq\int _{\mathcal{M}}fd\mu,$$ if yes what replaces $d\nu$ exactly? Edit:
$$\int_{\gamma}fd\nu\int _{\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": 28, "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/222396/prove-a-function-is-continuously-differentiable | # prove a function is continuously differentiable
$f(x,y) =\begin{cases}\arctan(y/x) & x\neq 0\\ \pi/2 & x=0,y>0\\-\pi/2 & x=0,y<0.\end{cases}$
$f$ is defined on $\Bbb R^2\smallsetminus\{(0,0)\}.$
Show that $f$ is continuously differentiable on all of its domain.
Also use implicit function to show the above proof 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": 11, "mathjax_display_tex": 3, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://physics.stackexchange.com/questions/18725/how-much-effect-does-the-mass-of-a-bicycle-tire-have-on-acceleration | # How much effect does the mass of a bicycle tire have on acceleration?
There are claims often made that, eg, "An ounce of weight at the rims is like adding 7 ounces of frame weight." This is "common knowledge", but a few of us are skeptical, and our crude attempts at working out the math seem to support that skeptici... | {"extraction_info": {"found_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": 3, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://unapologetic.wordpress.com/2010/12/03/real-frobenius-reciprocity/?like=1&_wpnonce=81a70c627a | The Unapologetic Mathematician
(Real) Frobenius Reciprocity
Now we come to the real version of Frobenius reciprocity. It takes the form of an adjunction between the functors of induction and restriction:
$\displaystyle\hom_H(V,W\!\!\downarrow^G_H)\cong\hom_G(V\!\!\uparrow_H^G,W)$
where $V$ is an $H$-module and $W$ ... | {"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": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 53, "mimetex.cgi": 0, "/images/ma... |
http://infoscience.epfl.ch/record/141317 | • EPFL
• Infoscience
• Bit Precision Analysis for Compressed Sensing
• English
• français
Infoscience
Conference paper
# Bit Precision Analysis for Compressed Sensing
• Presented at: Seoul, Korea Republic, 2009
• Published in: Proceedings of the IEEE International Symposium on Information Theory (ISIT), p. 1--5
• :... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 6, "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/54200/superconducting-gap-temperature | # Superconducting gap, temperature
Tinkham (page 63) states that the temperature dependence of the gap energy of a superconductor $\Delta(T)$ can be calculated using the following integral: http://i45.tinypic.com/w1s13t.png
How can this actually be carried out? I am not sure how to approach this problem or re-arrange... | {"extraction_info": {"found_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": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathhelpforum.com/advanced-algebra/190343-counterexample-function-help.html | # Thread:
1. ## counterexample, function help
Hey, I can't seem to get anywhere with this big question so if someone could work through this question with me so I understand that would be greatly appreciated.
a) If $g \in M_n$ give a counterexample to $g(x+y)=g(x)+g(y)$
b) Prove $g(\frac{1}{a}x_1 +...+ \frac{1}{a}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": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 11, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://www.physicsforums.com/showthread.php?s=78f45efb5c8e28edb4f98af11b81a095&p=4247029 | Physics Forums
## Work done by compressing a container of gas
I want to show that the work done by compressing a container of gas with uniform pressure is $$-\int_{V_i}^{V_F} p(V)dV,$$ where p(V) is the pressure of the gas as a function of volume. This equation was derived in my text for the special case of a piston,... | {"extraction_info": {"found_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": 12, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://chemistry.stackexchange.com/questions/1221/how-do-i-balance-this-combustion-reaction | # How do I balance this combustion reaction?
I have butene being burned in a fuel rich engine and I can't seem to balance this reaction
$C_{4}H_{8}+a(O_{2}+3.76N_{2})->bCO_{2}+cH_{2}O+dC_{4}H_{8}+e(3.76N_{2})$
When I try write equations for the elements, I get 5 equations and 4 unknowns which can't be solved. Here 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": 20, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://unapologetic.wordpress.com/2007/10/03/homology/?like=1&source=post_flair&_wpnonce=5b12459335 | # The Unapologetic Mathematician
## Homology
Today we can define homology before I head up to the Baltimore/DC area for the weekend. Anyone near DC who wants to hear about anafunctors can show up at George Washington University’s topology seminar on Friday.
As a preliminary, we need to know what quotients in an abel... | {"extraction_info": {"found_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": 48, "mimetex.cgi": 0, "/images/ma... |
http://mathoverflow.net/questions/68745/necessary-conditons-for-implicit-function | ## Necessary Conditons For Implicit Function
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The Inverse Function Theorem provides sufficient conditions to determine when a function is defined implicitly by a relation. I would like to know some ways to determi... | {"extraction_info": {"found_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://physics.stackexchange.com/questions/54150/small-car-colliding-with-large-truck | # Small car colliding with large truck
A small car collides with a large truck. Why do both vehicles experience the same magnitude of force? Wouldn't the large vehicle experience less force than the small one?
-
## 2 Answers
The two vehicles experience a force of the same magnitude due to Newton's third law:
If ob... | {"extraction_info": {"found_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": 3, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathhelpforum.com/calculus/113054-implicit-differentiation-trignometric-equation-multiple-choice.html | # Thread:
1. ## Implicit Differentiation of a Trignometric Equation [Multiple Choice]
If $cos (xy) = x$, then $\frac{dy}{dx}=$
1. (A) $\frac{-csc (xy) - y}{x}$
2. (B) $\frac{csc (xy) - 1}{x}$
3. (C) $-csc (xy)$
4. (D) $\frac{-csc (xy)}{x}$
5. (A) $-csc (xy) - 1$
2. Originally Posted by StarlitxSunshine
If $cos (xy)... | {"extraction_info": {"found_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": 39, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathoverflow.net/questions/26411/uniform-solutions-to-posts-problem-for-axiomatizable-theories/26413 | ## Uniform solutions to Post’s problem for axiomatizable theories
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The Second Incompleteness Theorem says that if $T$ is a consistent (computably) axiomatizable theory which extends IΣ1, then $\mathrm{Con}(T)$ 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": 65, "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/CMB-2010-049-7 | Canadian Mathematical Society
www.cms.math.ca
| | | | |
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| Site map | | | CMS store | |
location: Publications → journals → CMB
Abstract view
# Exceptional Covers of Surfaces
Read article
[PDF: 163KB]
http://... | {"extraction_info": {"found_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://mathoverflow.net/questions/10911/english-reference-for-a-result-of-kronecker/11036 | ## English reference for a result of Kronecker?
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Kronecker's paper Zwei Sätze über Gleichungen mit ganzzahligen Coefficienten apparently proves the following result that I'd like to reference:
Let $f$ be a monic ... | {"extraction_info": {"found_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://mathoverflow.net/questions/43642/kernel-of-gz-p2-z-gz-pz-is-the-lie-algebra-of-g-over-z-pz | ## kernel of G(Z/p^2 Z)->G(Z/pZ) is the lie algebra of G over Z/pZ?
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Let $G$ be an affine algebraic group defined over $\mathbf Z$. The kernel of the natural homomorphism $G(\mathbf Z/p^2\mathbf Z)\to G(\mathbf Z/... | {"extraction_info": {"found_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/1947 | ### Just Rolling Round
P is a point on the circumference of a circle radius r which rolls, without slipping, inside a circle of radius 2r. What is the locus of P?
### Pericut
Two semicircle sit on the diameter of a semicircle centre O of twice their radius. Lines through O divide the perimeter into two parts. What 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": 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/28251/schematic-design-of-the-apparatus-photoelectric-effect?answertab=oldest | # Schematic design of the apparatus (photoelectric effect)
I think I understand the basic idea of photoelectric effect but there are two things in the schematic diagram of the apparatus for the investigation of the photoelectric effect which I do not understand.
Firstly, the emitting electrode is connected to a posit... | {"extraction_info": {"found_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://mathoverflow.net/revisions/23842/list | Return to Answer
1 [made Community Wiki]
I also Had a quick look (maybe a little less quick), and although I very much like the other answer, which illustrates that it may be difficult to fix, I may have found a more specific error, which may be more helpfull as an answer to the question.
Firstly, I am a little conf... | {"extraction_info": {"found_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://mathhelpforum.com/number-theory/41538-powers-modulo-p-primitive-root-question.html | Thread:
1. powers modulo p and primitive root question
Let p be a prime number.
What is the value of 1 + 2 + 3 +......+(p-1) (mod p)
How would I begin to work this problem?
2. Originally Posted by duggaboy
Let p be a prime number.
What is the value of 1 + 2 + 3 +......+(p-1) (mod p)
How would I begin to work this ... | {"extraction_info": {"found_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://mathhelpforum.com/differential-geometry/171597-how-do-you-use-mean-value-theorem-prove.html | # Thread:
1. ## How do you Use the Mean Value Theorem to prove this
Use the Mean Value Theorem to prove that if p > 1 then $(1+x)^p$ $>$ $1+px$ for
$x$ $\in$ (−1, 0) U (0, $\infty$).
2. Originally Posted by maximus101
Use the Mean Value Theorem to prove that if p > 1 then $(1+x)^p$ $>$ $1+px$ for
$x$ $\in$ (−1, 0) U... | {"extraction_info": {"found_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": 26, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://physics.stackexchange.com/questions/21973/factorization-of-fermionic-scattering-integral-in-2d-momentum-rep | Factorization of fermionic scattering integral in 2d momentum rep
the scattering integrals for fermions involves both momentum ($k$) and energy ($k^2$) conservation and a nonlinear phase space factor of a distribution function $f(k)$.
$$\begin{multline}I(k) = \sum_{k_1, k_2, k_3} \delta(k^2+k_1^2+k_2^2+k_3^2) \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": 3, "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/255504/find-the-equations-for-the-hyperplanes-of-symmetries-of-the-n-cube?answertab=votes | Find the equations for the hyperplanes of symmetries of the $n$-cube
Given the $n$-cube in $\mathbb{E}^n$ with vertices $(\pm1,\dotsc,\pm1)$, I'd like to find the equations for the hyperplanes in $\mathbb{E}^n$ that are the mirrors of reflection symmetries of the cube.
Essentially, given an $n$-dimensional cube, ther... | {"extraction_info": {"found_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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://topologicalmusings.wordpress.com/2007/12/18/section-3-unordered-pairs/ | Todd and Vishal’s blog
Topological Musings
# Section 3 – Unordered Pairs
December 18, 2007 in Exposition, Math Topics, Naive Set Theory | Tags: Axiom of pairing, empty set, naive set theory, Paul Halmos, singleton
After postulating a couple of important axioms in the previous two sections, we now arrive at a couple... | {"extraction_info": {"found_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": 36, "mimetex.cgi": 0, "/images/ma... |
http://mathhelpforum.com/pre-calculus/175272-complex-no.html | # Thread:
1. ## complex no
if z1=10+6i and z2=4+6i if z is any complex no such that the argument of (z-z1)/(z-z2)
is pi/4 then prove that mod(z-7-9i)=3sqrt(2)
can yu solve it graphically
2. Originally Posted by prasum
if z1=10+6i and z2=4+6i if z is any complex no such that the argument of (z-z1)/(z-z2)
is pi/4 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": 9, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://blog.divinetworks.com/tag/hayim-shaul/ | # How much data is needed to describe a message?
Posted on December 12, 2011 by
An old joke tells of a man sending a telegram to his brother inviting him to his son’s wedding. Initially he writes this message:
Dear brother,
You are invited to my son’s wedding, two weeks from now.
Looking forward to meeting you.
Aft... | {"extraction_info": {"found_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://mathoverflow.net/revisions/19172/list | ## Return to Answer
3 meant to put in a line, not a break
This is a simple computation using the asymptotic formula for $\log_{10}(n!)$. Computing with $\ln$ instead (just divide the results by $\ln(10)$), Maple gives $$\ln{n!} \sim \left(\ln(n)-1\right)n+\ln(\sqrt{2\pi})+\frac{\ln(n)}{2}+\frac{1}{12}n^{-1}-\frac{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": 14, "mathjax_display_tex": 3, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://theartofmodelling.wordpress.com/ | # 2013 AARMS Mathematical Biology Workshop
Posted on February 17, 2013 by
We are pleased to announce the 2013 AARMS Mathematical Biology Workshop to be held at Memorial University of Newfoundland, July 27-29, 2013 in St John’s, Newfoundland. Registration closes on May 17, 2013 and abstracts should be submitted by Jun... | {"extraction_info": {"found_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://mathoverflow.net/questions/19895?sort=votes | ## Universal group?
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I can construct a finitely presented group $G$ with the following property (which I use to construct something else).
Given a finitely preseted group $\Gamma$, there is a subgroup $G'\le G$ 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": 9, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathoverflow.net/questions/76791/quanitative-de-moivrelaplace-theorem-reference-request/76799 | ## Quanitative de Moivre–Laplace theorem (reference request)
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The classical de Moivre-Laplace theorem states that we can approximate the normal distribution by discrete binomial distribution:
$${n \choose k} p^k ... | {"extraction_info": {"found_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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://scicomp.stackexchange.com/questions/3025/factor-a-non-symmetric-matrix-into-the-product-of-a-sparse-symmetric-matrix-and | # Factor a non-symmetric matrix into the product of a sparse symmetric matrix and a diagonal matrix plus a low rank correction
I have a non-symmetric matrix, where the non-symmetry only appears at a subset of points. This arises due to the particular manner on which boundary conditions are applied in a Cartesian grid ... | {"extraction_info": {"found_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": 2, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://rjlipton.wordpress.com/2011/08/05/give-me-a-lever/ | ## a personal view of the theory of computation
by
The role of levers in finding mathematical proofs
Archimedes of Syracuse (c. 287 BC to c. 212 BC) was a Greek mathematician, whose insights led him to many inventions and practical ideas, and to work in physics and astronomy.
Today I wish to talk about the mathemat... | {"extraction_info": {"found_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": 42, "mimetex.cgi": 0, "/images/ma... |
http://mathoverflow.net/questions/111684?sort=oldest | ## Does every bipartite graph with 512 edges have an induced subgraph with 256 edges?
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Suppose we have a (simple) bipartite graph with $2^k$ edges. Is it true that there is a subset of the vertices such that their... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 53, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathoverflow.net/revisions/72052/list | ## Return to Question
Post Made Community Wiki by S. Carnahan♦
1
# How to resolve a disagreement about a mathematical proof?
I am having a problem which should not exist. I am reading what I believe to be an important paper by a person - let me call him/her $A$ - whom I believe to be a serious and talented mathemat... | {"extraction_info": {"found_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": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://www.physicsforums.com/showthread.php?t=416301 | Physics Forums
Recognitions:
Gold Member
## Thermodynamic properties of ideal gases
Here are some general questions regarding my current reading. I am looking in my text at 2 equations for specific energy and specific enthalpy:
$u = u(T,v)\qquad(1)$
$h = h(T,p)\qquad(2)$
Question 1: Are not the properties fixed b... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 4, "mathjax_display_tex": 14, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathhelpforum.com/discrete-math/94157-genetic-algorithm-print.html | # Genetic Algorithm
Printable View
• July 1st 2009, 10:14 AM
Sampras
Genetic Algorithm
Find the value of $x$ that maximizes $\sin^{4}(x)$, $0 \leq x \leq \pi$ to an accuracy of at least one part in a million. Use a population size of fifty and a mutation rate of $1/(\text{twice the length of string})$.
So randomly 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": 13, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathhelpforum.com/advanced-math-topics/170620-linear-programming-problems-find-corresponding-values-slack-variables-print.html | # Linear Programming Problems? Find the corresponding values of the slack variables.
Printable View
• February 8th 2011, 06:39 PM
tn11631
Linear Programming Problems? Find the corresponding values of the slack variables.
So i'm not sure where this question would fit within the categories given, but it is a linear pro... | {"extraction_info": {"found_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": 21, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathoverflow.net/questions/65951?sort=oldest | ## Solvable PDE Problems [closed]
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I'm currently in a PDE course where one of the requirements is to find a common PDE problem and explain how to solve it.
The problems found easily on google won't help me, 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": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathoverflow.net/revisions/44617/list | ## Return to Answer
3 added 146 characters in body; added 20 characters in body
If you restrict to the case where `$R \in \{ \pm1 \}^l$` you can encode an arbitrary function `$f\colon \{\pm1\}^l\to \pm1$` with appropriate choice of the $V_i$ by augmenting your problem to instead return $1$ if $R = V_i$ for some $i$ 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": 21, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathhelpforum.com/discrete-math/194754-help-needed-combination-problem.html | # Thread:
1. ## Help needed on combination problem
Prove that the total number of selectionsthat can be made out of the letters "DADDY DID A DEADLY DEED" is 1919.
does anyone have the solution to this??
-thank you
2. ## Re: Help needed on combination problem
Originally Posted by blackhat98
Prove that the total num... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 8, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://math.stackexchange.com/questions/145552/extending-a-k-lipschitz-function | # Extending a $k$-lipschitz function
Given $f: Y\subset\mathbb{R}\to \mathbb{R}$ a $k$-lipschitz function, (i.e $|f(x)-f(y)|\leq k|x-y|$ for any $x,y\in Y$) I need to prove the existence of a $k$-lipschitz function $g:\mathbb{R}\to \mathbb{R}$ such that $g|_Y=f$.
My answer when $f$ is bounded is considering $$g(x)=\i... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 42, "mathjax_display_tex": 6, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathhelpforum.com/differential-geometry/119779-directional-derivative-help-needed.html | # Thread:
1. ## Directional Derivative Help Needed!
Let f: $R^2 \rightarrow R$ be given by
f(x,y) :=
$\frac{xy^2}{x^2+y^4}$ if (x,y) $\neq$ (0,0)
0 otherwise
(a) Show that $d_u f(0,0)$ exists for all the vectors $u \in R^2$ and that $d_u f(0,0)$ = $\frac{b^2}{a}$ if u = (a,b) with a $\neq$ 0.
(b) Show that f is 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": 0, "codecogs_latex": 17, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathhelpforum.com/calculus/206645-finding-critical-points-extrema-local-absolute-trends-open-intervals-print.html | # Finding Critical Points & Extrema (Local & Absolute), & Trends on Open Intervals
Printable View
• November 2nd 2012, 04:37 PM
SwatchAndGo
Finding Critical Points & Extrema (Local & Absolute), & Trends on Open Intervals
Hi.
First post on the forum, but regardless of which, need some assistance.
I have the followin... | {"extraction_info": {"found_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": 34, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://physics.stackexchange.com/questions/30262/does-this-relation-about-direction-of-particles-make-sense/30293 | # Does this relation about direction of particles make sense?
Maybe I've just stared at this statement too long and I've missed something obvious. Nevertheless, here's the problem: Landau-Lifshitz vol. 1§16, problem 1.
Consider (classical) collision of two particles in center of mass coordinates. Before the collision... | {"extraction_info": {"found_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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://motls.blogspot.com/2012/07/lhc-higgs-does-it-deviate-from-standard.html?m=0 | # The Reference Frame
## Saturday, July 07, 2012
... /////
### LHC Higgs: does it deviate from the Standard Model too much?
A textbook pedagogic exercise on chi-squared distributions
On the 2012 Independence Day, the world of physics has made a transition. The question "Is there a Higgs-like particle with mass nea... | {"extraction_info": {"found_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... |
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