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http://math.stackexchange.com/questions/21638/definition-of-the-j-invariant-of-an-elliptic-curve?answertab=oldest | # Definition of the j-invariant of an elliptic curve
It seems that most introductory books on elliptic curves simply state the definition of the j-invariant of an elliptic curve without giving any background on how that definition was conceived. Of course, for moduli reasons, it is clear why one might want such an inv... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 29, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathhelpforum.com/algebra/154870-quadratic-graphing-problem-need-help-print.html | # Quadratic Graphing Problem, Need Help
Printable View
• August 31st 2010, 10:48 AM
Xeaxy
Quadratic Graphing Problem, Need Help
Hi, I need someone to help guide me through the following problem:
A football player kicks a ball at an angle of 37° above the ground with an initial speed of 20 meters per second. The heig... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 2, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathhelpforum.com/pre-calculus/174431-polynomial-equation.html | Thread:
1. polynomial equation
calculate all polynomial $p(x)$ for which $(p(x))^2+(p(x-1))^2+1=(P(x)-x)^2$
2. Originally Posted by jacks
calculate all polynomial $p(x)$ for which $(p(x))^2+(p(x-1))^2+1=(p(x)-x)^2$
If you put x=0 in this equation then you get $(p(-1))^2+1=0$. This cannot happen if the polynomial has... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 10, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://math.stackexchange.com/questions/41998/orthogonal-in-the-b-norm?answertab=active | # Orthogonal in the B Norm?
If you have two generalized eigenvectors $\varphi_1 , \varphi_2$ (with different eigenvalues) of a matrix A, then they will be orthogonal in the B norm.
In this context, I do not understand what is meant by the "B norm" where B is a matrix of the same dimensions as A. What does it mean 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": 22, "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/63265/what-are-maps-between-proper-classes | ## What are “maps” between proper classes?
### Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points)
When defining a functor (between categories), I am usually told that it assigns to each object of the source category an object of the target category. I do not find thi... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 49, "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/232604/solve-the-given-cauchy-problem-on-the-bounded-interval | # Solve the given Cauchy problem on the bounded interval
$$u_{tt}-16u_{xx}=0, \quad 0<x<3, \quad 0 < t < \infty,$$ $$u(x,0)=x(3-x), \quad u_t(x,0)=\cos(\pi x), \quad 0<x<3,$$ $$u(0,t)=u(3,t)=t, \quad 0 < t < \infty.$$
Determine $u(x,t)$ in terms of x and t for $(x,t)$ in regions 1, 2 , and 3 determined by the charact... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 29, "mathjax_display_tex": 5, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://www.physicsforums.com/showthread.php?t=227680 | Physics Forums
complex analysis
Also when trying to find the integral of (1/8z^3 -1) around the contour c=1.
I found the singularities to be 1/2, 1/2exp(2pi/3), and 1/2exp(4pi/3)
What is the next step here. Do I just assume the integral is 6pi(i) after using partial fractions to find the numerators of the 3 fractio... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://math.stackexchange.com/questions/114828/first-countability-and-convergence | First countability and convergence
I am trying to prove the following statement:
Let $X$ and $Y$ be topological spaces. If $X$ is first countable and $f:X \rightarrow Y$ is a map such that $a_n \rightarrow a$ in $X$ implies $f(a_n)\rightarrow a$ in $Y$, then $f$ is continuous.
I am missing something critical, as my ... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 77, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathoverflow.net/questions/tagged/hurwitz-theory | ## Tagged Questions
3answers
183 views
### Automorphism of finite groups and Hurwitz spaces
If $G$ is a finite group, embedded as a transitive subgroup of $S_n$ for some $n$, will every automorphism of $G$ extend to an inner automorphism of $S_n$? I'm trying to connect t …
1answer
124 views
### holomorphic automorp... | {"extraction_info": {"found_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://math.stackexchange.com/questions/250920/open-cover-of-a-metric-space | # Open cover of a metric space
I am trying to find a definition for the open cover of a metric space, but i cannot find it. So, if X is a metric space and A is a subset of X, then what is the definition for open cover of A? Can anyone help? Thank you.
-
Do you know what an open set (in a metric space) is? – Adam Sal... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 35, "mathjax_display_tex": 2, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathforum.org/mathimages/index.php?title=Volume_of_Revolution&oldid=20363 | # Volume of Revolution
### From Math Images
Revision as of 17:37, 14 June 2011 by Nordhr (Talk | contribs)
Solid of revolution
Field: Calculus
Image Created By: Nordhr
Website: Nordhr
Solid of revolution
This image is a solid of revolution
# Basic Description
When finding the volume of revolution of solids, in 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": 21, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://www.newworldencyclopedia.org/entry/Special_relativity%2C_an_introduction | # Special relativity, an introduction
From New World Encyclopedia
Jump to: navigation, search
This article is intended as a generally accessible introduction to the subject.
Albert Einstein during a lecture in Vienna in 1921.
Special relativity is a fundamental physics theory about space and time that was developed 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": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 29, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://simple.wikipedia.org/wiki/Math | Mathematics
(Redirected from Math)
The Rhind Papyrus is the source of most of modern knowledge about mathematics in Ancient Egypt
Mathematics (sometimes shortened to maths (England, Australia, New Zealand, Canada, France) or math (United States, Germany)) is the study of numbers, shapes and patterns. Mathematicians a... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 10, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathhelpforum.com/calculus/118993-implicit-differentiation.html | # Thread:
1. ## Implicit differentiation
Given x^2 + y^2 = e^xy Tangent lines.
find y' at point (1,0), then find the equations of line tangent to y at (1, 0)
thx
2. Originally Posted by fymp
Given x^2 + y^2 = e^xy Tangent lines.
find y' at point (1,0), then find the equations of line tangent to y at (1, 0)
thx
Y... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 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/287425/ell-infty-and-ell1 | # $\ell^\infty$ and $\ell^1$
Show that $\ell^\infty$ and $\ell^1$ are normed linear spaces.
Solution:
Since $\ell^p$ is the collection of real sequences $a=(a_1,a_2, ... )$ for which $\sum_{k=1}^{\infty} |a_k|^p < \infty$ and in $\ell^\infty$, $\sup_{1 \leq k < \infty} |a_k|$. Does this merely require checking the 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": 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/questions/90782/soft-algebraic-groups-question | ## Soft(?) algebraic groups question
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Suppose $G$ is a linear algebraic group over $\mathbb{C}$, defined over $\mathbb{Z}$ (for example, $SL(n, \mathbb{C})$ is defined by $\det x = 1,$ which visibly has integer co... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 22, "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/13121/can-fermionic-symmetries-be-fully-integrated-into-geometric-deformation-complexe/13149 | # Can Fermionic symmetries be fully integrated into geometric deformation complexes or symplectic reduction?
How should a geometer think about quotienting out by a Fermionic symmetry? Is this a formal concept? A strictly linear concept? A sheaf theoretic concept?
How does symplectic reduction work with odd symmetries... | {"extraction_info": {"found_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://mathhelpforum.com/pre-calculus/151413-functions-question.html | # Thread:
1. ## Functions question.
I really don't understand this question.
If $f(x) = 1/x$, show that $f(a) - f(b) = f(ab/(b-a))$
Help would be greatly appreciated
2. Originally Posted by Archelaus
I really don't understand this question.
If $f(x) = 1/x$, show that $f(a) - f(b) = f(ab/(b-a))$
Help would be gre... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 6, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathhelpforum.com/calculus/65425-convergent-iteration-print.html | # Convergent iteration
Printable View
• December 17th 2008, 04:38 PM
namelessguy
Convergent iteration
Can someone help me with this problem?
Consider the fixed point iteration
$x_{k+1}=(m+1)x_k-{x_k}^2$, k=0,1,2,...where $1\leq m \leq 2$
a) Show that the iteration converges for any initial guess $x_0$ satisfying $m-1... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 25, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://quant.stackexchange.com/questions/tagged/mean?sort=unanswered | # Tagged Questions
The mean tag has no wiki summary.
learn more… | top users | synonyms
0answers
61 views
### Mean-variance minimizser
I am working on a project that involves pricing european call options in incomplete markets. Now I need to find a unique measure $Q^*$ such that Q^* = \min_{M_e} E_Q [V(T)-F(w)]^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": 2, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://physics.aps.org/articles/v2/44 | # Viewpoint: Observing unification on a grand scale
, Michigan Center for Theoretical Physics (MCTP),Department of Physics, University of Michigan, Ann Arbor, MI 48109, USA
Published May 26, 2009 | Physics 2, 44 (2009) | DOI: 10.1103/Physics.2.44
New connections have been made between experimental astrophysical s... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 17, "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/73329?sort=votes | Flat sheaves and induced morphism
Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points)
Hi,
I want to consider a module $P$ on a product $X \times Y$ of varieties over a field of characteristic zero, such that $P$ is flat over $X$. Furthermore I want to consider for ea... | {"extraction_info": {"found_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/advanced-statistics/141922-characteristic-function-evaluation-definite-integral-print.html | # characteristic function (evaluation of an definite integral)
Printable View
• April 28th 2010, 09:20 AM
Random Variable
characteristic function (evaluation of an definite integral)
I want to show that the characteristic function of Cauchy's distribution ( $f(x) = \frac{1}{\pi} \frac{b}{b^{2}+x^{2}}, \ b>0$) is $\ph... | {"extraction_info": {"found_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://mathoverflow.net/questions/66233/convexity-of-a-constrained-optimization-problem | ## Convexity of a constrained optimization problem
### Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points)
Hi, this is a continuation of a previous question I asked about the convexity of an optimization problem I am working with.
Consider the function \begin{multlin... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 42, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://math.stackexchange.com/questions/6280/are-there-infinitely-many-x-for-which-pix-mid-x | # Are there infinitely many $x$ for which $\pi(x) \mid x$?
Let $\pi(x)$ denote the Prime Counting Function.
• One observes that, $\pi(6) \mid 6$, $\pi(8) \mid 8$. Does $\pi(x) \mid x$ for only finitely many $x$, or is this fact true for infinitely many $x$.
-
4
I think you switched 'finitely' and 'infinitely' in you... | {"extraction_info": {"found_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": 2, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathoverflow.net/questions/69229/proof-strength-of-calculus-of-inductive-constructions/115813 | ## Proof strength of Calculus of (Inductive) Constructions
### Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points)
This is a follow-on from this question, where I pondered the consistency strength of Coq. This was too broad a question, so here is one more focussed. Ra... | {"extraction_info": {"found_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://mathhelpforum.com/calculus/142883-period.html | # Thread:
1. ## period
Hey,
I'm trying to find the period of:
$f(x)=(\cos(\pi\gamma))^{n} \hspace{0,5cm}, \gamma \in \mathbb{R}, n \in \mathbb{N}$
It seems that when $n$ is even then the $f$ has period=1 and when $n$ is odd then $f$ has period=2 .
How to show that analytically?
2. As written, your function is no... | {"extraction_info": {"found_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?page=1&sort=votes | # All Questions
19answers
55k views
### Cooling a cup of coffee with help of a spoon
During the breakfast with my colleagues, a question popped into my head: What is the fastest method to cool a cup of coffee, if your only available instrument is a spoon? A qualitative answer would ...
14answers
41k views
### A mir... | {"extraction_info": {"found_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://math.stackexchange.com/questions/24942/universal-binary-operation-and-finite-fields-ring | # Universal binary operation and finite fields (ring)
Take Boolean Algebra for instance, the underlying finite field/ring $0, 1, \{AND, OR\}$ is equivalent to $0, 1, \{NAND\}$ or $0, 1, \{ NOR \}$ where NAND and NOR are considered as universal gates. Does this property, that AND ('multiplication') and OR ('addition') ... | {"extraction_info": {"found_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://mathoverflow.net/questions/38165/ | ## “Why” is every polynomial representation of SL(2) selfdual?
### Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points)
Given a field $K$ of characteristic $0$. It seems to me that every finite-dimensional polynomial representation of $\mathrm{SL}_2\left(K\right)$ is 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": 31, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathhelpforum.com/advanced-statistics/68553-permutation-help.html | # Thread:
1. ## Permutation Help!
Consider the Permutations of the word SUCCESSFUL ?
a) How many permutations total?
b)How many have the 3 vowels adjacent (such as SUUESSFCLC)?
c)How many permuations have none of the 3 vowels adjacent?
d)How many permutations start with an S and end with an L?
e)How many permutation... | {"extraction_info": {"found_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://unapologetic.wordpress.com/2007/11/27/ | # The Unapologetic Mathematician
## Topological Groups
Now we’ve said a lot about the category $\mathbf{Top}$ of topological spaces and continuous maps between them. In particular we’ve seen that it’s complete and cocomplete — it has all limits and colimits. But we’ve still yet to see any good examples of topological... | {"extraction_info": {"found_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": 92, "mimetex.cgi": 0, "/images/ma... |
http://physics.stackexchange.com/questions/38772/induced-current-in-parallel-wires/38775 | # Induced current in parallel wires
Consider two parallel wires of finite radius. When a current is applied to one of the wire for a short period of time, what is the current induced in the other wire?
Applying Maxwell's equations, it seems that there is a change in magnetic field perpendicular to the second wire, an... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://www.birs.ca/events/2010/5-day-workshops/10w5031 | # Quasisymmetric Functions (10w5031)
Arriving Sunday, November 14 and departing Friday November 19, 2010
## Organizers
Louis Billera (Cornell University)
Sara Billey (University of Washington)
Richard Stanley (Massachusetts Institute of Technology)
## Objectives
By holding this five-day workshop on the theme of "Q... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 62, "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/16354/can-you-encode-if-then-else-in-arithmetic?answertab=oldest | # Can you encode if-then-else in arithmetic
Is there a general way to encode if-then-else/ITE in arithmetic, i.e. using the usual mathematical operators?
Example: let $f(x) = x^2$ if $x < 10^{30}$ and $log x$ otherwise, shortly written as $f(x) = ITE(x<10^{30},x^2,log x)$.
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1
what are "the usual mathematical opera... | {"extraction_info": {"found_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": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://arcsecond.wordpress.com/tag/mechanics/ | # Arcsecond
## Posts Tagged ‘mechanics’
### Unwinding: Physics of a spool of string
June 1, 2012
It’s been a long day. Let’s unwind with a physics problem.
This problem was on the pre-entrance exam I took before arriving at Caltech for my freshman year. I’ve seen it from time to time since, and here I hope to find... | {"extraction_info": {"found_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": 83, "mimetex.cgi": 0, "/images/ma... |
http://math.stackexchange.com/questions/218211/taylor-series-of-a-modulus-argument | # Taylor series of a modulus argument
What is the definition of a Taylor series of the function $F(|\vec a -\vec x|)$ about the point $\vec a$ in $\vec x$?
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## 3 Answers
As filmor notes, the Taylor series isn't well-defined if you consider this as a function of the full vector $\vec x$. If you don't mind a singula... | {"extraction_info": {"found_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": 2, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathhelpforum.com/advanced-math-topics/205409-finding-limit-g-x-analysis-algebra-limits-print.html | # Finding a limit at g(x). Analysis. Algebra of Limits.
Printable View
• October 15th 2012, 05:04 PM
JesseMoeller
Finding a limit at g(x). Analysis. Algebra of Limits.
Define $g: (0,1)\to\mathbb{R}$ by $g (x)=\frac{\sqrt{1+x}-1}{x}$. Prove that g has a limit at 0 and find it.
In my course we are given only the defin... | {"extraction_info": {"found_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://physics.stackexchange.com/questions/tagged/quantum-hall-effect+conformal-field-theory | # Tagged Questions
1answer
109 views
### What is the operator for the edge current of a fracional quantum Hall state?
The edge of a fractional quantum Hall state is a chiral conformal field theory. In the Laughlin case it corresponds to the chiral boson, S = \frac{1}{4\pi} \int dt dx ...
2answers
258 views
### Edg... | {"extraction_info": {"found_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/20604/divergence-of-frac-vecrr2 | # Divergence of $\frac{\vec{r}}{r^2}$
In David J. Griffiths 'Introduction to ELECTRODYNAMICS' , as one the excercize he gave the following problem.
Sketch the vector function: $$\vec{v} = \frac{\vec{r}}{r^2}$$ , and compute its divergence. The answer may surprise you... Can you explain it?
I found the divergence 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": 11, "mathjax_display_tex": 2, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathhelpforum.com/calculus/136494-image-after-transformation.html | # Thread:
1. ## Image after Transformation
Alright, so I've got to "Find the image of the set $S$ after the given transformation."
$S$ is the square bounded by the lines $u=0, u=1, v=0, v=1; x=v, y=u(1+v^2)$
How do I do this? I've found the Jacobian to be $-u$ but I don't even know how to use that for this problem.... | {"extraction_info": {"found_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://en.m.wikibooks.org/wiki/Trigonometry/Similar,Congruent,Isosceles,_and_Equilateral | # Trigonometry/Similar,Congruent,Isosceles, and Equilateral
At this point we're assuming:
• You already know what a triangle is
• You already know how to measure angles
We assume that you know that two triangles of different sizes can have exactly the same sized angles as each other.
One reason we assume you alread... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 2, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://cs.stackexchange.com/questions/10071/what-is-the-local-minimum-of-a-complete-binary-tree | # What is the local minimum of a complete binary tree
I have this confusion. What is the local minimum of a complete binary tree?
Consider an $n$-node complete binary tree $T$, where $n = 2^d − 1$ for some $d$. Each node $v \in V(T)$ is labeled with a real number $x_v$. You may assume that the real numbers labeling 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": 17, "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/172495/connection-of-a-line-bundle-induced-by-a-divisor | # Connection of a line bundle induced by a divisor
Say I have a Line bundle induced by some Divisor $\mathfrak{L}(D)$.
And $D$ is given by the zero locus of some polynomial $P$. I actually know this polynomial explicitly.
Now, I also have a Connection and even this connection i know explicitly.
I've been trying 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": 15, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathhelpforum.com/calculus/128695-binomial-coefficients-series.html | # Thread:
1. ## binomial coefficients series
Knowing that:
$(1+x)^k = \sum_{n=0}^{\infty}\binom{k}{n}x^n = 1 + kx + \frac{k(k-1)}{2!}x^2 + \frac{k(k-1)(k-2)}{3!}x^3 + ...$
Give the Maclaurin series for the function:
$f(x) = \frac{x^2}{\sqrt{2+x}}$
I figure I can rewrite the equation as $f(x) = x^2(1+(1+x))^{-1/2}$ ... | {"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": 92, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://physics.stackexchange.com/questions/28197/cy-moduli-fields | # CY moduli fields
When one does string compactification on a Calabi-Yau 3-fold. The parameters in Kähler moduli and complex moduli gives the scalar fields in 4-dimensions. It is claimed that the Kähler potentials of the CY moduli space gives the kinetic terms of the scalar fields in 4d. Could anyone let me know why?
... | {"extraction_info": {"found_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": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://www.physicsforums.com/showpost.php?p=4173339&postcount=2 | View Single Post
Your textbook should be clearer. The rule is, if there's no external forces on a system, then its centre of mass doesn't accelerate. What's the center of mass? Roughly, it's the average position of the mass of the system. Quantitatively, the center of mass of a system of N particles, each with mass 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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://math.stackexchange.com/questions/75296/what-is-the-difference-between-total-recursive-and-primitive-recursive-functions?answertab=votes | # What is the difference between total recursive and primitive recursive functions
I am studying the theory of computation. Here are some terminologies that I am confused about.
Are total recursive function and primitive recursive function equivalent? I think they are equal because their domains are both total and 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": 39, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://gauravtiwari.org/2011/05/13/dedekinds-theory-of-real-numbers/ | # MY DIGITAL NOTEBOOK
A Personal Blog On Mathematical Sciences and Technology
Home » Math » Dedekind’s Theory of Real Numbers
# Dedekind’s Theory of Real Numbers
### Start here
Image via Wikipedia
# Intro
Let $\mathbf{Q}$ be the set of rational numbers. It is well known that $\mathbf{Q}$ is an ordered field and ... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 121, "mimetex.cgi": 0, "/images/m... |
http://www.physicsforums.com/showthread.php?t=17378 | Physics Forums
vector space proof
how do you prove that if v is an element of V (a vector space), and if r is a scalar and if rv = 0, then either r = 0 or v = 0... it seems obvious, but i have no idea how to prove it...
PhysOrg.com science news on PhysOrg.com >> Front-row seats to climate change>> Attacking MRSA 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": 6, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://physics.stackexchange.com/questions/tagged/dimensions+dimensional-analysis | # Tagged Questions
1answer
58 views
### What does the Reynolds Number of a flow represent physically?
What does the Reynolds Number of a flow represent physically? I am having trouble understanding the meaning and the utility of the Reynolds number for a certain flow, could someone please tell me how ...
2answers
92... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathhelpforum.com/calculus/47746-solved-matrix-valued-complex-functions.html | # Thread:
1. ## [SOLVED] matrix-valued complex functions
we have a contractive analytic in the unit disk matrix-valued function ( $ff^*\le I$), which is unitary on the unit circle ( $ff^*=I$), and which in nondegenerate throughout the unit disk. I want to conclude that $f$ is a constant unitary matrix. We can assume ... | {"extraction_info": {"found_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": 30, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathoverflow.net/questions/44266?sort=oldest | ## Rooks on a lifeline
### Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points)
The short version of this question is:
If $G$ is a graph whose nodes are associated with squares of a chessboard, such that no two nodes in the same row or column of the board are adjacent... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 19, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathhelpforum.com/statistics/104172-expected-value.html | # Thread:
1. ## Expected Value
A sack contains 20 products, where two are defective. Given that five products are chosen randomly, determine the expected number of defective products.
Let $P_k$ be the probability of there being k defective products out of the 5 chosen.
$P_k=\frac {_2C_k \cdot _{18}C_{5-k}}{_{20}C_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": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 10, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathoverflow.net/questions/68063/are-there-any-very-hard-unlinks | ## Are there any very hard unlinks?
### Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points)
This question is closely related to a question of Gowers: http://mathoverflow.net/questions/53471/are-there-any-very-hard-unknots .
I'm thinking about how to create interesting... | {"extraction_info": {"found_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://mathoverflow.net/questions/118246/characterising-categories-of-vector-spaces/118297 | ## Characterising categories of vector spaces
### Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points)
Consider the category $FdVect_k$ of finite dimensional $k$-vector spaces, for some given field. It is abelian, semisimple, in that each object is a finite sum of simp... | {"extraction_info": {"found_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://math.stackexchange.com/questions/144805/exact-sequences-and-proving-the-five-lemma/144809 | # Exact sequences and proving the five lemma
I am currently trying to understand a proof of the Five lemma. For reference, the Five lemma is as follows:
In an abelian category, consider the commutative diagram
$A \longrightarrow B \longrightarrow C \longrightarrow D \longrightarrow E$
$\downarrow \,\,\,\,\,\,\,\,\,... | {"extraction_info": {"found_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/116398/schemes-with-no-nonconstant-maps-to-lower-dimensional-schemes | ## Schemes with no nonconstant maps to lower dimensional schemes
### Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points)
Fix an algebraically closed field $k$ (arbitrary characteristic), all schemes will be of finite type over $k$.
(Property *): I'm interested in (cl... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 45, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathhelpforum.com/statistics/60947-k-sided-dice.html | # Thread:
1. ## K-Sided Dice
Hi everyone,
Looking for a bit of help. If i throw a k-sided dice twice, what is the expected value of their sums. I'm looking for a formula for it including k.
Thanks
2. Originally Posted by waxandshine
Hi everyone,
Looking for a bit of help. If i throw a k-sided dice twice, what is ... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 1, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://crypto.stackexchange.com/tags/oblivious-transfer/hot | # Tag Info
## Hot answers tagged oblivious-transfer
7
### Why use a 1-2 Oblivious Transfer instead of a 1 out of n Oblivious Transfer?
Oblivious transfer is mostly studied as a theoretic construction, as it is an important component in achieving interesting protocols (like secure two-party computation and secure fu... | {"extraction_info": {"found_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/tagged/convex-optimization?page=5&sort=newest&pagesize=15 | # Tagged Questions
Convex Optimization is a special case of mathematical optimization. It includes Linear Programming and least-squares.
0answers
36 views
### Duality gap in cone programming
Let $K\subset \mathbb{R}^2$ be a closed convex and pointed cone, $A$ be a $2\times 2$ square matrix and $b, c\in \mathbb{R}^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": 121, "mathjax_display_tex": 4, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/m... |
http://mathhelpforum.com/calculus/23045-quick-complex-analysis-query.html | # Thread:
1. ## Quick complex analysis query
Quick complex analysis query
Hi, I'm just working through examples for revision and I've come across one that I've worked but not sure if its correct. If anyone could check it would be much appreciated:
Expand 1/z in power series about z=1
Ok you can write 1/z as 1/[1+(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": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 1, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://physics.stackexchange.com/tags/porous-media/hot | # Tag Info
## Hot answers tagged porous-media
15
### When water climbs up a piece of paper, where is the energy coming from?
The surface of any fluid has an associated energy-per-unit-area, known as the surface energy, a.k.a. surface tension. This energy is not a property of the fluid alone, but of the fluid and 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": 2, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://crypto.stackexchange.com/questions/1499/is-eke-attackable-by-a-brute-force-password-search?answertab=oldest | # Is EKE attackable by a brute-force password search?
So I'm trying to properly implement the EKE protocol and I'm using C# with the Windows CNG and ECDH key exchange. I need to use this because it's FIPS certified and all that jazz.
So what I'm understanding about EKE is the fact that it depends on the fact that 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": 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/50484/convert-number-from-one-base-to-another | # Convert number from one base to another
I have the next number: $$5.2880001*10^{-4}$$
Now I want to convert this number to a format of $X*2^y$. How I do it?
Thank you.
-
3
Are there any constraints on X and y? Otherwise you can always take X to be your number (0.00052880001) and y to be 0. – ShreevatsaR Jul 9 '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": 2, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://math.stackexchange.com/questions/245573/find-the-upper-and-lower-limits-of-function | # Find the upper and lower limits of function
$xf(x)=\frac{1}{2}(\cos(x^2)-\cos[(x+1)^2]+r(x))$
$|r(x)|<c/x$ for constant $c$
Find the upper and lower limits of $xf(x)$ as $x→ \infty$
I'm a bit confused.
The solution of mine(1,-1) and my friend's ($\sin\frac{1}{2}$,-$\sin\frac{1}{2}$) are different.
It is possible 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": 49, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://www.physicsforums.com/showthread.php?t=213959 | Physics Forums
compactness and continuity.
I need to prove that for every continuous function f:X->X of a metric and compact space X, which satisfy for each two different x and y in X p(f(x),f(y))<p(x,y) where p is the metric on X, there's a fixed point, i.e there exist x0 s.t f(x0)=x0.
obviously i thought assuming ... | {"extraction_info": {"found_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": 5, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathhelpforum.com/math-topics/4153-few-general-questions-inquiries.html | # Thread:
1. ## A few general questions and inquiries
Hey everyone,
I just joined and have a few math questions and "inquires" about certain things regarding math!
I had a quiz recently . The first question was regarding circles:
$x^2+64$, find the radius (I'm pretty sure it was radius, if not, please feel free to ... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 112, "wp_latex": 0, "mimetex.cgi": 0, "/images/m... |
http://math.stackexchange.com/questions/239369/why-do-people-fit-polynomials?answertab=active | # Why do people fit polynomials?
Could someone explain the justification and limits of fitting polynomials to arbitrary data points? I mean what about square roots or fractional or inverse powers? Most of the time some wants to improve a linear fit, they rather include quadric terms than anything else.
Can you think ... | {"extraction_info": {"found_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/calculus/100160-finding-minimum.html | # Thread:
1. ## finding minimum
$AC=\frac{TC}{x}=\frac{2000}{x}+20+\frac{10}{\sqrt{ x}}$
So i have to show that there is no minimum.
thus i have to differentiate the function, which apparently gives this
$\frac{dAC}{dx}=AC'= -\frac{2000}{x^2}-\frac{5}{\sqrt[3]{}x^3}$
I don't know how they got that answer , can som... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 8, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://math.stackexchange.com/questions/260149/with-sample-variance-find-interval-for-population-variance | With sample variance, find interval for population variance
The variance of in a random sample of 16 is 2.5. What is a 95% confidence interval for the variance of the population, assuming the population is normally distributed.
-
3
Andy: You are putting questions on the site rapidly and without any explanation about... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 3, "mathjax_display_tex": 3, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://math.stackexchange.com/questions/26772/birthday-coverage-problem/26775 | # Birthday-coverage problem
I heard an interesting question recently:
What is the minimum number of people required to make it more likely than not that all 365 possible birthdays are covered?
Monte Carlo simulation suggests 2287 ($\pm 1$, I think). More generally, with $p$ people, what is the probability that for 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": 17, "mathjax_display_tex": 4, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://electronics.stackexchange.com/questions/45341/potential-difference-across-one-resistor-with-and-without-a-known-current | # Potential difference across one resistor with and without a known current?
Okay imagine you have a voltage supply of 10V and one Resistor of 5 Ohms.
Now find the current : I=5/10 = 0.5A
So potential difference across that resistor : V=IR=10V .. which proves this statement I found in my lecture note :
If no intern... | {"extraction_info": {"found_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": 4, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://en.m.wikibooks.org/wiki/Differential_Geometry/Curvature_and_Osculating_Circle | # Differential Geometry/Curvature and Osculating Circle
Consider a curve $C$ of class of at least 2, parametrized by the arc length parameter, $f(s)$.
The magnitude of $f''(s)$ is called the curvature of the curve $C$ at the point $f(s)$. The multiplicative inverse of the curvature is called the radius of curvature.
... | {"extraction_info": {"found_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": 12, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://math.stackexchange.com/questions/87784/when-are-theta-and-sin-theta-circ-both-rational | # When are $\theta$ and $\sin\theta^\circ$ both rational? [duplicate]
Possible Duplicate:
Sine values being rational
I'm guessing that if I look in Ivan Niven's elementary book on irrational numbers, I'll find the answer to this quickly, but I'm posting it here in case people find it useful.
For what rational values... | {"extraction_info": {"found_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": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://unapologetic.wordpress.com/2012/09/21/the-submodule-of-invariants/?like=1&_wpnonce=7a8d289a6e | # The Unapologetic Mathematician
## The Submodule of Invariants
If $V$ is a module of a Lie algebra $L$, there is one submodule that turns out to be rather interesting: the submodule $V^0$ of vectors $v\in V$ such that $x\cdot v=0$ for all $x\in L$. We call these vectors “invariants” of $L$.
As an illustration of ho... | {"extraction_info": {"found_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": 21, "mimetex.cgi": 0, "/images/ma... |
http://mathhelpforum.com/calculus/165596-horizontal-tangent-implicit-differentiation.html | Thread:
1. Horizontal Tangent - Implicit Differentiation
a curve in the plane is given by the following equation
x^4+2x^2y+3y^2=6
A) Find an expression for dy/dx using implicit differentiation
B) Find the four points on the curve where the tangent line is horizontal
Ok I know how to solve for the derivative. I got
... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 11, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://stats.stackexchange.com/questions/29091/simulating-a-gaussian-process-with-an-exponentially-decaying-covariance-function/29108 | Simulating a Gaussian process with an exponentially decaying covariance function
I'm trying to generate many draws (i.e., realizations) of a Gaussian process $e_i(t)$, $1\leq t \leq T$ with mean 0 and covariance function $\gamma(s,t)=\exp(-|t-s|)$.
Is there an efficient way to do this that wouldn't involve computing ... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 29, "mathjax_display_tex": 5, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://math.stackexchange.com/questions/76873/calculating-mean-from-the-probability-mass-function?answertab=oldest | # Calculating mean from the probability mass function
Question. The number of flaws $X$ on an electroplated car grill is known to the have the following probability mass function: $$\begin{matrix} x & : & 0 & 1 & 2 & 3 \\ p(x) & : & 0.8 & 0.1 & 0.05 & 0.05 \end{matrix}$$
Calculate the mean of $X$.
My working.
$$\te... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 12, "mathjax_display_tex": 2, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathoverflow.net/questions/42147?sort=votes | ## name my cat: regular categories where inverse images also have right adjoint
### Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points)
I need a name for a regular category where the inverse image maps have right adjoints.
If $\mathcal C$ is a regular category, then ... | {"extraction_info": {"found_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/questions/102573?sort=votes | ## Structure of F_p[G], for finite group G ?
### Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points)
Consider group algebra k[G] of finite group G. If k is alg.closed then every irrep lives there with multiplicity equal to dimension. (More conceptually as bimodule ove... | {"extraction_info": {"found_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://mathhelpforum.com/discrete-math/206275-methods-proof-vacuous-proof.html | # Thread:
1. ## Methods of Proof: Vacuous Proof
THIS IS NOT HOMEWORK! This is a practice problem from our textbook. Class link: Discrete Math I
1) "By the definition of R we see that there are no ordered pairsin R where the first entry of one and the second entry of another is the
same..."
I do not understand what 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": 6, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://math.stackexchange.com/questions/245500/correct-proof-idea-metric-spaces-and-closed-sets | # Correct proof idea? Metric spaces and closed sets.
Let $(X,d)$ be an arbitrary complete metric space and suppose $S\subseteq(X,d)$. Show that $S$ is closed if and only if every Cauchy sequence in $S$ converges to a point in $S$.
I did the forward direction, is it correct?
Suppose $S$ is closed. Let $x\in S$ be an ... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 26, "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/91662/stuck-on-proving-uniform-convergence | # Stuck on proving uniform convergence
I am preparing for my analysis finals tomorrow and I have been stuck over two hours trying to solve the following problem:
Let $f_1, f_2, \ldots$ be a convergent (pointwise) sequence of monotonically increasing functions defined on $[a,b] \to \mathbb R$. (I.e., $f_n(x) \leq f_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": 44, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://www.all-science-fair-projects.com/science_fair_projects_encyclopedia/Ordinal | # All Science Fair Projects
## Science Fair Project Encyclopedia for Schools!
Search Browse Forum Coach Links Editor Help Tell-a-Friend Encyclopedia Dictionary
# Science Fair ... | {"extraction_info": {"found_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": 8, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://www.cscheid.net/ | # Voting in the MLB Hall of Fame
[blog] Wed, 23 Jan 2013 17:43:45 -0500 [... comments]
Here’s a visualization of the MLB Hall of Fame trajectories my friend Kenny Shirley and I created using D3, R and a bunch of elbow grease.
# Window Seat
[blog] Wed, 16 Jan 2013 00:05:00 -0500 [... comments]
What does it look lik... | {"extraction_info": {"found_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/new-users/208287-what-am-i-doing-wrong.html | 2Thanks
• 1 Post By MarkFL
• 1 Post By Prove It
# Thread:
1. ## What am I doing wrong?
|2x+1|<|x+3| Solve for x.
So the correct answer is -4/3<x<2 based on my deductions. But my problem is my solution generates more answers.
+-(2x+1)<+-(x+3) =>
1) 2x+1<x+3 => x<2
2) 2x+1<-(x+3) => x<-4/3
3) -(2x+1)<(x+3) =>x>-4/3... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 23, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://www.physicsforums.com/showthread.php?t=381502 | Physics Forums
## the physical meaning of the PDE?!!!
1. The problem statement, all variables and given/known data
2. Relevant equations
How can I know the physical meaning of the following partial differential equation????!!!
PhysOrg.com science news on PhysOrg.com >> Front-row seats to climate change>> Attacki... | {"extraction_info": {"found_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": 8, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://johncarlosbaez.wordpress.com/2012/10/01/petri-net-programming/ | # Azimuth
## Petri Net Programming
guest post by David Tanzer
Petri nets are a simple model of computation with a range of modelling applications that include chemical reaction networks, manufacturing processes, and population biology dynamics. They are graphs through which entities flow and have their types transfo... | {"extraction_info": {"found_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": 16, "mimetex.cgi": 0, "/images/ma... |
http://mathematica.stackexchange.com/questions/1088/efficient-way-to-count-the-number-of-zeros-at-the-right-end-of-a-very-large-nu/1092 | # efficient way to count the number of zeros at the (right) end of a very large number
If I want to count the number of zeros at the (right) end of a large number, like $12345!$, I can use something like:
````Length[Last[Split[IntegerDigits[12345!]]]]
````
But this seems clumsy, since it's potentially doing the full... | {"extraction_info": {"found_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://quant.stackexchange.com/questions/2380/how-garch-arch-models-are-useful-to-check-the-volatility?answertab=oldest | # How GARCH/ARCH models are useful to check the volatility?
Below a R code wrote by the moderator @richardh (whom I want to thank again) about ARCH/GARCH models.
````library(quantmod)
library(tseries)
getSymbols("MSFT")
ret <- diff.xts(log(MSFT$MSFT.Adjusted))[-1]
arch_model <- garch(ret, order=c(0, 3))
garch_model <... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 4, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathoverflow.net/questions/87131?sort=votes | ## Simplicial presheaves enriched, tensored and cotensored over simplicial sets correctly?
### Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points)
Let `$\mathcal{C}$` be a category and `$\mathcal{P}=Functors(\mathcal{C}^{op},\mathcal{S})$` the category of simplicial 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": 21, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://amathew.wordpress.com/2012/06/04/a-derived-characterization-of-open-immersions/ | # Climbing Mount Bourbaki
Thoughts on mathematics
June 4, 2012
## A derived characterization of open immersions
Posted by Akhil Mathew under algebraic geometry, commutative algebra | Tags: cotangent complex, derived category, etale morphisms, open immersions |
[5] Comments
I’d like to discuss today a category-theo... | {"extraction_info": {"found_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://en.wikibooks.org/wiki/Waves/Thin_Films | # Waves/Thin Films
Waves : 1 Dimensional Waves
1 - 2 - 3 - 4 - 5 - 6 - 7 - 8 - 9 - 10 - 11 - 12 - 13
Examples - Problems - Solutions - Terminology
### Thin Films
Figure 1.14: Plane light wave normally incident on a transparent thin film of thickness $d$ and index of refraction $n > 1$. Partial reflection occurs at 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": 13, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathhelpforum.com/calculus/102461-how-do-i-get-these-equations-into-form-quadric-surface-equation.html | Thread:
1. How do I get these equations into the form of a quadric surface equation?
A question in my text asks to classify the surfaces by comparing them with the standard equations of quadric surfaces. My problem is I can't figure out how to get these equations into the standard form of quadric surface equations. 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": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 2, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathhelpforum.com/advanced-algebra/18497-list-two-different-matrices-s-t-2-i-print.html | # List Two Different Matrices A s.t. A^2=I
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• September 4th 2007, 04:35 PM
Fourier
List Two Different Matrices A s.t. A^2=I
Hello,
I am trying to determine two different matrices $A$ such that $A^2=\Bigg[\begin{array}{cc} 1 & 0 \\ 0 & 1 \end{array}\Bigg]$.
I am trying to solve this algebraically. Here... | {"extraction_info": {"found_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": 38, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathhelpforum.com/calculus/64105-help-volume-solid-w-uniform-cross-sections-parabola.html | # Thread:
1. ## HELP!! Volume of a solid w/ uniform cross sections of a parabola
I didn't know how to explain the problem in words so I made a scan of it.
Edit: Any help at all will be very appreciated.
2. Originally Posted by sj9110
I need to find the volume of a parabola a-x^2 where a is 0 to 10 and its also boun... | {"extraction_info": {"found_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": 67, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathhelpforum.com/discrete-math/37641-how-many-ways-make-change-100-dollars.html | # Thread:
1. ## how many ways to make change for 100 dollars?
using 10 and 20 dollar bills?
its a generating function problem, for the life of me i dont know what to do.
2. The answer is the coefficient of $x^{100}$ in the expansion of $\left( {\sum\limits_{k = 0}^{10} {x^{10k} } } \right)\left( {\sum\limits_{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": 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/pre-calculus/143025-circle.html | # Thread:
1. ## circle
Let C be the circle in R² having the point (h, k) and (0, 1) as diameter. Prove that this circle intersects the x-axis if and only if h²-4k≥0 and in this case the two intercepts are the roots of the equation x²-hx+k=0.
2. First, it doesn't make sense. I am guessing the diameter is the line seg... | {"extraction_info": {"found_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://slawekk.wordpress.com/2007/10/19/compact-sets-and-the-axiom-of-choice/ | # Formalized Mathematics
Just another WordPress.com weblog
## Compact sets and the Axiom of Choice
The first iteration of the tool for extracting blog-postable view from Isabelle/ZF source is ready. The post below is the result of processing the Topology_ZF_1b.thy theory file, to be included on the next release of I... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 73, "mimetex.cgi": 0, "/images/ma... |
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