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http://www.fields.utoronto.ca/programs/scientific/12-13/Back2Fields/wick.html | # SCIENTIFIC ACTIVITIES
May 18, 2013
FIELDS 20th ANNIVERSARY Back2Fields COLLOQUIUM SERIES June 20, 2012 at 3:30 p.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": 8, "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/186335/method-for-expanding-an-expression-with-function-composition?answertab=active | # Method for expanding an expression with function composition
Sorry for the bad title; I couldn't think of a good way to phrase it. Someone more knowledgeable could edit it if that helps. I'm an engineer, not a mathematician, so my level of rigor is somewhat lacking.
This question is motivated by my answer to this 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": 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/141375/doubt-sin2n-1-cos4n | # Doubt $\sin(2n)/(1+\cos^4(n))$
So my doubt is for this comment of this video:
Is ANYONE going to notice the fact that the kid's solution to the problem given at 9:35 is completely invalid? I mean, $\sin(2n)/(1+\cos^4(n))$ fails to be either positive or monotonically decreasing, meaning it fails ALL the conditions 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": 5, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://crypto.stackexchange.com/questions/5953/what-is-blinding-used-for-in-cryptography?answertab=votes | # What is “Blinding” used for in cryptography?
What does "blinding" mean in cryptography, and where do we usually use it? Can you describe a sample implementation?
-
3
– CodesInChaos Jan 9 at 10:32
– Amzoti Jan 10 at 16:33
## 1 Answer
As @CodesInChaos explains:
• It might refer to blind signatures.
• It also mig... | {"extraction_info": {"found_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": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathhelpforum.com/differential-equations/146037-differential-equation-method-do-i-use-print.html | # Which Differential Equation Method Do I use?
Printable View
• May 22nd 2010, 11:14 PM
lanczlot
Which Differential Equation Method Do I use?
i need to solve this differential equation (3y^3-xy)dx-(x^2+6xy^2)dy=0
I tried using Bernoulli, but it doesn't work. Also tried separating the variables but i cant seem to sep... | {"extraction_info": {"found_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://mathhelpforum.com/advanced-algebra/193955-orthonormal-set-eigenvectors-print.html | Orthonormal Set of Eigenvectors of A
Printable View
• December 10th 2011, 06:13 PM
divinelogos
Orthonormal Set of Eigenvectors of A
Problem:
http://img46.imageshack.us/img46/5769/capture2br.jpg
Part (a): This part seems simple. I just find the eigenvectors of the matrix A, use the GS process, and then normalize to g... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 10, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://physics.stackexchange.com/questions/tagged/thermodynamics%20ideal-gas | # Tagged Questions
0answers
44 views
### Air pressure in balloon
I have to calculate the air pressure inside of an hot air balloon. After some searching I found out that I can use the ideal gas law: PV = nRT (from Wikipedia) So to get the pressure in the balloon I ...
0answers
23 views
### Finding rms velocity in 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": 39, "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-algebra/196540-one-one-ness-isomorphisms-between-polynomial-spaces.html | # Thread:
1. ## one to one-ness of isomorphisms between polynomial spaces
Hey guys showing 1-1ness of an isomorphism (supposed) i reach asub1(x)+bsub1(x^2)=asub2(x)+bsub2(x2)
now according to my Linear Algebra book two polynomials like these are equal only if their respective coefficients are equal, but if we pick 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": 19, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://elitistjerks.com/f31/t22891-math_stat_equivalence_multi_ability_rotations/print/ | Elitist Jerks (http://elitistjerks.com/forums.php)
- Class Mechanics (http://elitistjerks.com/f31/)
- - [Math] Stat Equivalence in Multi-ability "Rotations" (http://elitistjerks.com/f31/t22891-math_stat_equivalence_multi_ability_rotations/)
Muphrid 03/12/08 10:19 AM
[Math] Stat Equivalence in Multi-ability "Ro... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathhelpforum.com/math-topics/41963-light.html | # Thread:
1. ## Light
If we treat light as a wave. Sin(nx)
do we say white light consists of many functions where n can be an element of Real positive numbers?
or are they intergers?
2. Originally Posted by Charbel
If we treat light as a wave. Sin(nx)
do we say white light consists of many functions where n can 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": 0, "codecogs_latex": 1, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathoverflow.net/questions/79785/geometry-of-the-hilbert-sphere | ## Geometry of the Hilbert sphere
### Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points)
Let $X$ be the unit sphere in $\ell^2$, i.e. $X=\{x\in\ell^2: \|x\|=1\}$. Let the metric on $X$ be the geodesic metric, i.e. $d(x,y)=\cos^{-1}\langle x,y\rangle$. Call a set a ba... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 26, "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?p=1950583 | Physics Forums
Mentor
## Two similar Bayesian problems. Did I get them right?
I would appreciate if someone could help me solve and understand these two problems. The first version of this post contained my attempts to solve them, but I have deleted those parts because I saw that I had messed up badly. I really suck... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 9, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathoverflow.net/questions/19021/avoiding-minkowskis-theorem-in-algebraic-number-theory/19027 | ## Avoiding Minkowski’s theorem in algebraic number theory.
### Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points)
For any course in algebraic number theory, one must prove the finiteness of class number and also Dirichlet's unit theorem. The standard proof uses Mink... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 32, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathhelpforum.com/advanced-statistics/47952-exponential-distribution-question-print.html | # exponential distribution question
Printable View
• September 6th 2008, 04:10 PM
lllll
exponential distribution question
Let $Y$ be an exponentially distributed random variable with mean $\beta$. Define a random variable $X$ in the following way: $X=k$ if $k-1 \leq Y \leq k \ \ \mbox{for} \ \ k =1,2,...,n$
a) 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": 21, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://math.stackexchange.com/questions/253902/sum-m-0n-m-np2-n-choose-m-pm-qn-m-npq | # $\sum_{m=0}^n (m-np)^2 {n \choose m} p^m q^{n-m} = npq$
How to show that:
$\sum_{m=0}^n (m-np)^2 {n \choose m} p^m q^{n-m} = npq$
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3
do you really want to show it this way or can you use the binomial random variable? – Jean-Sébastien Dec 8 '12 at 18:11
## 2 Answers
Here is a way to see it without having to exp... | {"extraction_info": {"found_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": 3, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathhelpforum.com/advanced-applied-math/15831-physics-complex-numbers.html | # Thread:
1. ## Physics and Complex numbers
Hey guys,
I was looking through one of the past Advanced Physics exam papers and I came across a question which is a little confusing at the end (the answer that is):
Consider a forced, damped simple harmonic oscillator, which obeys the equation of
motion:
$m\frac{d^2x}{d... | {"extraction_info": {"found_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": 63, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://physics.stackexchange.com/questions/17638/has-anyone-theorized-a-connection-between-entropy-and-quantum-uncertainty?answertab=oldest | Has anyone theorized a connection between entropy and quantum uncertainty?
I apologize if this kind of idle theorizing is frowned upon here, but I was wondering if it is possible that the Second Law of Thermodynamics is a consequence of quantum uncertainty.
I've heard entropy of a system defined as the number of micr... | {"extraction_info": {"found_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://electronics.stackexchange.com/questions/49112/why-would-you-attach-a-diode-to-the-base-of-a-bjt | # Why would you attach a Diode to the base of a BJT?
I was looking at a DC BJT setup for sourcing current and came accross this
I have never seen a diode attached to the base of BJTs before and was wondering what it might be used for? I believe it might be used for compensation due to effects in temperature, but I ha... | {"extraction_info": {"found_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": 5, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathhelpforum.com/math-challenge-problems/154137-matrices-went-2x2.html | # Thread:
1. ## Matrices went in 2x2
Another challenge problem, inspired by an earlier question.
Given arbitrary 2x2 matrices $A$ and $B$, prove that
$AB+BA=\beta A+\alpha B+(\gamma-\alpha\beta)I$
where $\alpha$ is the trace of $A$, $\beta$ is the trace of $B$ and $\gamma$ is the trace of $AB$ or of $BA$. $I$ is o... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 21, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://math.stackexchange.com/questions/122307/gcd-of-any-two-real-numbers | # “GCD” of any two real numbers
This isn't really a GCD question, because GCD is only defined for integers. I'm interested in the the existence of a common divisor of any two non-zero real numbers. In other words can you prove or disprove the following:
Given $x,y \neq 0\in \mathbb{R}, \exists \space g \space s.t. \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": 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/differential-geometry/170037-orientation-manifolds.html | # Thread:
1. ## orientation of manifolds
Hello,
I have a question about the topic in the headline.
We have defined a oriented manifold as a manifold with a atlas, s.t. the determinant of the differential of chart changes is >0, i.e. det $d(x\circ y^{-1})>0$ forall x,y charts.
I think it is true that if we have a 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": 10, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathforum.org/mathimages/index.php?title=Solving_Triangles&diff=20695&oldid=20669 | # Solving Triangles
### From Math Images
(Difference between revisions)
Line 227: Line 227:
[[Image:Tree_in_park.jpg|center]] [[Image:Tree_in_park.jpg|center]]
+
+ '''Answer'''
+ {{Hide=
+
+ There are several ways to solve this problem. One ... | {"extraction_info": {"found_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": 44, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://math.stackexchange.com/questions/85245/locally-fv-processes-are-fv-processes?answertab=oldest | # Locally FV processes are FV processes
Does anyone see why any process which is of Locally Finite Variation has to be of Finite Variation ?
Best regards
-
## 1 Answer
Hi I think I got it please tell me if I'm wrong.
Only one implication has to be proven as the other is obvious. So let's demonstrate the contrapos... | {"extraction_info": {"found_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://www.citizendia.org/Complex_plane | Geometric representation of z and its conjugate $\bar{z}$ in the complex plane. The distance along the light blue line from the origin to the point z is the modulus or absolute value of z. The angle φ is the argument of z.
In mathematics, the complex plane is a geometric representation of the complex numbers establish... | {"extraction_info": {"found_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": 17, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://physics.stackexchange.com/questions/30552/storing-light-energy-as-potential-kinetic-to-drive-an-electric-generator | # Storing light energy as potential kinetic to drive an electric generator [closed]
I would like to lift a 10 ton mass (crate of rocks) to a height of about 80 feet using a small 24 volt electric motor powered by a 16 square foot photovoltaic panel. Then I would like to collect the energy stored by this 10 ton mass by... | {"extraction_info": {"found_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://cms.math.ca/Events/winter12/res/eco | 2012 CMS Winter Meeting
Fairmont Queen Elizabeth (Montreal), December 7 - 10, 2012
Recent Research in Econometrics
Org: Jean-Marie Dufour and Christian Genest (McGill)
[PDF]
XIN LIANG, McGill University
Necessary and sufficient conditions for identification and estimability of linear parameters [PDF]
We study 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": 8, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://unapologetic.wordpress.com/2010/11/02/right-representations/?like=1&source=post_flair&_wpnonce=8cb43e0c56 | # The Unapologetic Mathematician
## Right Representations
In our discussions of representations so far we’ve been predominantly concerned with actions on the left. That is, we have a map $G\times V\to V$, linear in $V$, that satisfies the relation $g_1(g_2v)=(g_1g_2)v$. That is, the action of the product of two group... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 43, "mimetex.cgi": 0, "/images/ma... |
http://mathhelpforum.com/trigonometry/202847-trigonometry-question-print.html | # Trigonometry Question
Printable View
• September 2nd 2012, 11:40 AM
DonManolo
Trigonometry Question
Being http://forum2011.obmep.org.br/latexr...d23525e932.gif a triangle and http://forum2011.obmep.org.br/latexr...0c9a0fdaaa.gif a point inside http://forum2011.obmep.org.br/latexr...d23525e932.gif.
Find the coordina... | {"extraction_info": {"found_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://mathoverflow.net/questions/7938/intersection-cohomology-of-flag-varieties-schubert-varieties | ## Intersection cohomology of flag varieties/Schubert varieties
### Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points)
How do you compute in characteristic $0$, intersection cohomology of partial flag varieties (corresponding to a fixed partition $\lambda$)? I unders... | {"extraction_info": {"found_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": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://math.stackexchange.com/questions/125539/power-reduction-formula/125568 | # Power-reduction formula
According to the Power-reduction formula, one can interchange between $\cos(x)^n$ and $\cos(nx)$ like the following: $$\cos^n\theta = \frac{2}{2^n} \sum_{k=0}^{\frac{n-1}{2}} \binom{n}{k} \cos{((n-2k)\theta)} \tag{odd}\\$$ $$\cos^n\theta = \frac{1}{2^n} \binom{n}{\frac{n}{2}} + \frac{2}{2^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": 10, "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/51584/what-is-the-current-through-the-lamp | # What is the current through the lamp?
We have the following circuit:
A neon lamp and a inductor are connected in parallel to a battery of 1.5 $V$. The inductor has a 1000 loops, a length of $5.0 cm$, an area of $12cm^2$ and a resistance of $3.2 \Omega$. The lamp shines when the voltage is $\geq 80V$.
• When the sw... | {"extraction_info": {"found_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/17107/does-the-wave-function-density-state-actually-exist/17253 | # Does the wave function/density state actually exist?
I have been reading with interest the debates here on whether the wave function/density state actually collapses or not, or whether it is subjective Bayesian or objective with actual complex numbered values for each component. I have been struck, though, by the im... | {"extraction_info": {"found_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/104718/from-generating-functions-to-recurrence/104723 | # From generating functions to recurrence
I am quite new to generating functions and I don't understand how one comes from the generating function equation to the recurrence:
$A = \sum_{n\geq 0} a_nx^n$
Now if $A=A(2xA'-A)+x$ holds, why is it easy to conclude that $a_n = \sum^{n-1}_{k=1} (2k-1)a_ka_{n-k}$ ?
-
## 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": 7, "mathjax_display_tex": 5, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://physics.aps.org/articles/v6/19 | # Viewpoint: Holey Intrinsic Photoconductivity
and , IPCMS (UMR 7504) and ISIS (UMR 7006), Université de Strasbourg and CNRS, Strasbourg, France
Published February 19, 2013 | Physics 6, 19 (2013) | DOI: 10.1103/Physics.6.19
A new experiment reveals the different dynamics of particles and holes in ultracold fermio... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 14, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathhelpforum.com/differential-geometry/152325-using-lagrange-theorem.html | # Thread:
1. ## using the Lagrange Theorem
Suppose G is a group of order 48 and H is a subgroup of order 12, then how many distant right cosets of H are there in G?
I thought it was 6. Am I right? If not can u show me which why to go?
2. Originally Posted by tigergirl
Suppose G is a group of order 48 and H is a sub... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 3, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://www.physicsforums.com/showthread.php?s=c3532470767de9361c8fcded6eceaf91&p=4176990 | Physics Forums
## Proving the dot product between these vectors is always the same value
How would you show that the dot product between the normal unit vector of a plane and a position vector to any point on the plane is always the same without using this formula
$$n.(r-r_0) = 0$$
∴ $$n.r=n.r_0$$
where $$n$$ is 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": 15, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://math.stackexchange.com/questions/53192/constructing-adjunction-from-left-adjoint-and-unit | # Constructing adjunction from left adjoint and unit
The definition of adjoint functors in terms of universal morphisms lends itself to very economical proofs in situations where one has a functor but no "direct" candidate for the left adjoint functor (only something looking like a unit and/or a suggestion for maps $\... | {"extraction_info": {"found_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://physics.stackexchange.com/questions/14973/what-would-be-the-effects-on-theoretical-physics-if-neutrinos-go-faster-than-lig | # What would be the effects on theoretical physics if neutrinos go faster than light?
Earlier today, I saw this link on Facebook about neutrinos going faster than the speed of light, and of course, re-posted. Since then, a couple of my friends have gotten into a discussion about what this means (mostly about time-trav... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 2, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://math.stackexchange.com/questions/185018/sequence-that-maps-to-arbitrary-positive-real-number?answertab=active | # Sequence that maps to arbitrary positive real number
How do you construct a sequence of functions $f_n(x)$ such that
$$s = \limsup_{n\rightarrow \infty} \sqrt[n]{f_n(x)}$$
for all $s > 0$?
I know it's possible to this with a different sequence
$$s = \limsup_{n\rightarrow \infty} (1 + \frac{x}{n})^n$$
where $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": 7, "mathjax_display_tex": 3, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://www.physicsforums.com/showthread.php?p=3888186 | Physics Forums
## If there were only one charge in the universe.
there was this question that i saw in a book and it also had an answer .
(this is not a homework question)
The Question was:
If there were only one type of charge in the universe, then :
• $\phi = \oint_s\boldsymbol{E}.\partial\boldsymbol{ A}\neq 0$ ... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 4, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://math.stackexchange.com/questions/35195/is-there-a-mathematical-name-given-to-the-count-of-negative-and-positive-numbers/49697 | # Is there a mathematical name given to the count of negative and positive numbers in a set
If I have a set of numbers {-1, 2, 3, 4, -8, 2, 0, 44}
and I make the statement that there are: 2 negative numbers 5 positive numbers and one signless number
Is there a mathematical concept used to name this count?
Thanks
-... | {"extraction_info": {"found_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://en.wikipedia.org/wiki/Operator_(mathematics) | # Operator (mathematics)
This article . You can help. The discussion page may contain suggestions. (November 2010)
In basic mathematics, an operator is a symbol or function representing a mathematical operation.
In terms of vector spaces, an operator is a mapping from one vector space or module to another. Operators... | {"extraction_info": {"found_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": 33, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://en.wikipedia.org/wiki/Instrumental_variable | # Instrumental variable
In statistics, econometrics, epidemiology and related disciplines, the method of instrumental variables (IV) is used to estimate causal relationships[citation needed] when controlled experiments are not feasible.
Instrumental variable methods allow consistent estimation when the explanatory va... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 54, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://divisbyzero.com/2011/01/12/beautiful-theorems-about-dynamical-systems-on-the-plane/ | # Division by Zero
A blog about math, puzzles, teaching, and academic technology
Posted by: Dave Richeson | January 12, 2011
## Beautiful theorems about dynamical systems on the plane
I was reading through some papers written by my Ph.D. advisor (John Franks) from the early 1990′s and was reminded of a few beautiful... | {"extraction_info": {"found_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": 77, "mimetex.cgi": 0, "/images/ma... |
http://www.physicsforums.com/showthread.php?s=7d7a0c55416f784e98393b538c85eef2&p=4203739 | Physics Forums
## Induced electric field
Can electric field be induced at a point near a time varying uniform magnetic field? "Near" means not the in the place where magnetic field exist. But at a point outside the field's presence.
PhysOrg.com physics news on PhysOrg.com >> Promising doped zirconia>> New X-ray me... | {"extraction_info": {"found_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": 4, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://math.stackexchange.com/questions/63928/a-question-about-elements-of-permutation-groups | # a question about elements of permutation groups
Let $n \in \mathbb{N}$ and let $S_n$ denote the permutation group on $n$ letters. I'm trying to figure out what kind of elements $\sigma, \delta \in S_n$ satisfy the following relations: $\sigma^2=e$, $\delta^4=e$, and $(\sigma\delta)^4=e$, where $e$ is the identity pe... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 19, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://math.stackexchange.com/questions/254491/anti-derivatives-applications-of-the-fundamental-theorem | anti-derivatives & applications of the fundamental theorem
Find the f(c) guaranteed by the Mean Value Theorem for Integration on the
function f(x)=ln(x)/x on the interval [1, 100].
-
What have you tried Lias? – Nameless Dec 9 '12 at 11:44
2
I suggest you write out what the Mean Value Theorem says. It will have an in... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 10, "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/26326/how-dense-are-nebulae | How dense are nebulae?
How functionaly dense are nebulae? Are they so sparse they are only visible from an interstellar or intergalactic perspective or would you be unable to see your hand in one?
Do they vary widely in density, between nebulae or even within a single one?
What would it look like from the inside 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/Talk:Euler's_laws_of_motion | # Talk:Euler's laws of motion
WikiProject Physics / History (Rated Start-class, Mid-importance) PhysicsWikipedia:WikiProject PhysicsTemplate:WikiProject Physicsphysics articles
This article is within the scope of WikiProject Physics, a collaborative effort to improve the coverage of Physics on Wikipedia. If you would ... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 14, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathhelpforum.com/advanced-algebra/136910-rank-matrix-print.html | # Rank of a matrix
Printable View
• April 1st 2010, 05:17 PM
mybrohshi5
Rank of a matrix
Find the rank of the matrix
A = $\begin{bmatrix}0&6\\0&-2\\0&5\end{bmatrix}$
I know that rank is just the number of pivots a matrix has when in reduced row echelon form, but this one is confusing to me.
RREF A = $\begin{bmatri... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 5, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://math.stackexchange.com/questions/167579/a-product-puzzle | # A product puzzle
This is from a math contest. I have solved it, but I'm posting it on here because I think that it would be a good challange problem for precalculus courses. Also, it's kind of fun.
Write the polynomial $\prod_{n=1}^{1996}(1+nx^{3^n})$=$\sum_{n=0}^m a_nx^{k_n}$, where the $k_n$ are in increasing ord... | {"extraction_info": {"found_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://mathhelpforum.com/trigonometry/68108-trig-question-intervals.html | Thread:
1. Trig question: with intervals
Solve the equation for a in [0, 2pie]
A.) cos²(a) + 3cos(a) = -cos(a)
B.)sin(2a) = cos(a)
2. Originally Posted by VkL
Solve the equation for a in [0, 2pie]
A.) cos²(a) + 3cos(a) = -cos(a)
Add $\cos a$ to both sides to get $\cos^2 a + 4\cos a = 0$ and now $\cos a ( \cos a +... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 18, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathhelpforum.com/number-theory/25104-extension-fields-splitting-fields-proof.html | # Thread:
1. ## Extension fields / splitting fields proof...
Hello, put this in the homework help but think its probably best off here, Im trying to prove the following by induction....
Given a polynomial, f(X) \in F[X], of degree n, there exists
an extension field K (sub set of) F such that f(X) has n roots
in 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": 18, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathematica.stackexchange.com/questions/19460/symbolic-derivative-of-n-term-product?answertab=oldest | # Symbolic derivative of $n$-term product
I want to determine the relationship that must exist between the $x_i$ and $y_i$ such that
$$\frac{\partial}{\partial\theta} \prod_{i=1}^n \frac{f(x_i,\theta)}{f(y_i,\theta)} = 0,$$
where
$$f(x,\theta) = \frac{e^{-(\theta - x)}}{(1+e^{-(\theta - x)})^2}, \;\; \forall x \in ... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 41, "mathjax_display_tex": 5, "mathjax_asciimath": 2, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://www.physicsforums.com/showthread.php?p=4271236 | Physics Forums
## On The Solution of Matrix Ricatti Equation ODE
I've become a little confused about why noone cares to actually explicitly solve the Matrix Ricatti Differential Equation (RDE) of the form:
$$-{\dot{P}} = Q + PA^T + A^TP + PBB^TP$$ where $BB^T, Q, P$ are a positive-definite matrices, and $A, BB^T, 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": 18, "mathjax_display_tex": 29, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/m... |
http://en.wikipedia.org/wiki/Pointed_topological_space | # Pointed space
(Redirected from Pointed topological space)
In mathematics, a pointed space is a topological space X with a distinguished basepoint x0 in X. Maps of pointed spaces (based maps) are continuous maps preserving basepoints, i.e. a continuous map f : X → Y such that f(x0) = y0. This is usually denoted
f :... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 3, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathhelpforum.com/calculus/206906-roots-arbitrary-polynomial-x-n-a0-a1x-a2x-2-n-1-x-n-1-a.html | 2Thanks
• 1 Post By chiro
• 1 Post By Deveno
# Thread:
1. ## Roots of an arbitrary polynomial: x^n=a0+a1x+a2x^2+...+a(n-1)x^(n-1)
I could use some input on this one: Let n be an integer greater than 1.
Which of the following conditions guarantee that the equation $x^n=\sum _{i=0}^{n-1}a_ix^i$ has at least one root ... | {"extraction_info": {"found_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://math.stackexchange.com/questions/235255/applying-greens-theorem | # Applying Green's Theorem
So I'm practicing a few problems and I can't get this one -
$$P(x,y) = e^x \sin(y) \\ Q(x,y) = e^x \cos(y)$$
$C$ is the right hand loop of the graph of the polar equation $r^2 = 4\cos(\theta)$
I want to evaluate:
$$\int_{C}{P(x,y)\:dx+Q(x,y)\:dy}$$
Now I tried the right hand side of 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": 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/6026/how-to-calculate-the-upper-limit-on-the-number-of-days-weather-can-be-forecast-r | # How to calculate the upper limit on the number of days weather can be forecast reliably?
To put it bluntly, weather is described by the Navier-Stokes equation, which in turn exhibits turbulence, so eventually predictions will become unreliable.
I am interested in a derivation of the time-scale where weather predict... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 2, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://physics.stackexchange.com/questions/tagged/hilbert-space+quantum-information | # Tagged Questions
1answer
173 views
### Entangled or unentangled?
I got a little puzzled when thinking about two entangled fermions. Say that we have a Hilbert space in which we have two fermionic orbitals $a$ and $b$. Then the Hilbert space $H$'s dimension is just ...
2answers
133 views
### Why must quantum logic... | {"extraction_info": {"found_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://nrich.maths.org/6554/note | ### Number Detective
Follow the clues to find the mystery number.
### Six Is the Sum
What do the digits in the number fifteen add up to? How many other numbers have digits with the same total but no zeros?
### (w)holy Numbers
A church hymn book contains 700 hymns. The numbers of the hymns are displayed by combinin... | {"extraction_info": {"found_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://mathoverflow.net/revisions/118687/list | ## Return to Question
2 edited body
Hi,
During my research I found an interesting fact, and I'd like to know if it's interesting for others as well. Find a function $g(x,t):[0,T]\times[0,T]\rightarrow[0,T]$ such that for any twice differentiable $f(x):[0,T]\rightarrow[0,T]$ such that $f(0)=f'(T)=0$, f(0)=f'(0)=0$, t... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 12, "mathjax_display_tex": 2, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathhelpforum.com/calculus/211539-sketch-find-area-region-bounded-given-curves-choose-variab.html | # Thread:
1. ## Sketch and find the area of the region bounded by the given curves. Choose the variab
Sketch and find the area of the region bounded by the given curves. Choose the variable of integration so that the area is written as a single integral.
x = y2
x = 4
I am not sure where to start on this one.....If ... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 2, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://physics.stackexchange.com/questions/1830/fourier-analysis-for-waves | # Fourier analysis for waves [closed]
If we have 1D wave equation:
$$\frac{\partial^2 \psi}{\partial x^2}=\frac{1}{c^2}\frac{\partial^2 \psi}{\partial t^2}$$
we say that it's always possible to decompose the generic solution $f(x+ct)+g(x-ct)$ using Fourier Transforms.
But
$$\frac{1}{2\pi} \int_R f(\omega)e^{i\omeg... | {"extraction_info": {"found_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": 3, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathhelpforum.com/advanced-statistics/173403-help-understanding-filtered-probability-spaces.html | # Thread:
1. ## Help understanding filtered probability spaces
Hi
I am currently studying a course in financial economics for a professional actuarial qualification and I'm having trouble with some of the probability theory.
I'm having trouble understanding probability spaces and filtrations. Can anyone help? I fig... | {"extraction_info": {"found_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": 32, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathoverflow.net/questions/39479?sort=votes | ## Kalman filtering: 1D case
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How will the kalman filtering model look like in the case when I just receive some data and want to filter them from noise? The data is actually an acceleration of some object. So 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": 54, "mathjax_display_tex": 21, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/m... |
http://www.physicsforums.com/showthread.php?p=4007003 | Physics Forums
Recognitions:
Gold Member
## Vector in an EM Wave
Hey all. I don't really understand how the fields of an EM wave have a vector. I think I understand the vector of a static EM field, but I'm having trouble understanding it when it comes to an EM wave.
Could someone help me out a bit? Thanks. (I'm sure... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 2, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://citizendia.org/Signal-to-noise_ratio | Signal-to-noise ratio (often abbreviated SNR or S/N) is an electrical engineering concept, also used in other fields (such as scientific measurements, biological cell signaling), defined as the ratio of a signal power to the noise power corrupting the signal. Electrical engineering, sometimes referred to as electrical ... | {"extraction_info": {"found_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": 6, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://physics.stackexchange.com/questions/45588/cosmology-questions-from-a-novice?answertab=active | Cosmology questions from a novice
These ideas/questions probably represent a lack of understanding on my part, but here they are:
1) Cosmologists talk about the increasing speed of expansion of the universe and talk of dark energy as the cause. But, I keep thinking that the farther out we observe, is farther back in ... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 5, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathoverflow.net/questions/74444/applications-for-knowing-the-singularities-parametrized-by-the-boundary-of-a-modu/74518 | ## Applications for knowing the singularities parametrized by the boundary of a moduli space
### Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points)
Given a moduli space $M$ of some smooth algebraic geometric object such as curves, surfaces, etc. Let $\overline{M}$ 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": 20, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathematica.stackexchange.com/questions/tagged/linear-algebra?page=3&sort=active&pagesize=30 | # Tagged Questions
Questions on the linear algebra functionality of Mathematica.
1answer
329 views
### What is the fastest way to find an integer-valued row echelon form for a matrix with integer entries?
Let me begin by saying that this is my first post on StackExchange. I apologize in advance if I unwittingly bre... | {"extraction_info": {"found_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://en.wikipedia.org/wiki/Centroid | # Centroid
Centroid of a triangle
In geometry and physics, the centroid or geometric center of a two-dimensional region is, informally, the point at which a cardboard cut-out of the region could be perfectly balanced on the tip of a pencil (assuming uniform density and a uniform gravitational field). Formally, the ce... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 54, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathdl.maa.org/mathDL/23/?pa=content&sa=viewDocument&nodeId=3287&bodyId=3543 | Search
## Search Loci:
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# Visualizing Lie Subalgebras using Root and Weight Diagrams
by Aaron Wangberg (Winona State Univ.) and Tevian Dray (Oregon State Univ.)
## 4. Applications to Algebras of Dimension Greater than 3
We now 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": 3, "mathjax_display_tex": 136, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/m... |
http://unapologetic.wordpress.com/2008/02/28/the-riemann-stieltjes-integral-i/?like=1&source=post_flair&_wpnonce=d0199d491e | # The Unapologetic Mathematician
## The Riemann-Stieltjes Integral I
Today I want to give a modification of the Riemann integral which helps give insight into the change of variables formula.
So, we defined the Riemann integral
$\displaystyle\int\limits_a^bf(x)dx$
to be the limit as we refined the tagged partition... | {"extraction_info": {"found_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": 25, "mimetex.cgi": 0, "/images/ma... |
http://www.physicsforums.com/showthread.php?t=612916 | Physics Forums
## 2D motion
1. The problem statement, all variables and given/known data
A rugby ball of mass 400 grams is to be kicked from ground level to clear
a crossbar 3m high. The goal line is 12m from the ball, and the junior
rugby player can impart a maximum speed of 4√g ms−1 to the ball.
(a) Modelling 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": 7, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathhelpforum.com/trigonometry/157085-proving-sin-2-x-sin-x.html | # Thread:
1. ## proving sin^2(x)<=|sin(x)|
For all x, prove that $sin^{2}(x)\leq|sin(x)|$ given that x is in the set of real numbers.
I think i need to break this into a couple different cases, specifically: (0, $\pi$),( $\pi$, $2\pi$), but am not sure. Any help would be appreciated.
2. Originally Posted by snaes
F... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 8, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://physics.stackexchange.com/questions/4959/can-noethers-theorem-be-understood-intuitively | Can Noether's theorem be understood intuitively?
Noether's theorem is one of those surprisingly clear results of mathematical calculations, for which I am inclined to think that some kind of intuitive understanding should or must be possible. However I don't know of any, do you?
Independence of time <=> energy conser... | {"extraction_info": {"found_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://mathoverflow.net/questions/6827?sort=newest | ## Basis of quantum SU(n)
### Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points)
As is well known, the set
$\{a^ib^jc^k | i,j,k \in \mathbb{Z}_{\geq 0},k>0\} \cup \{b^lc^md^n | l,m,n \in \mathbb{Z}_{\geq 0}\}$
forms a basis for quantum $SU(2)$. Does anyone know 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": 29, "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/tagged/higgs-mechanism?sort=active&pagesize=15 | # Tagged Questions
The higgs-mechanism tag has no wiki summary.
2answers
231 views
### Your Mass is NOT from Higgs Boson
Your Mass is NOT from Higgs Boson? http://www.youtube.com/watch?v=Ztc6QPNUqls This guy can't be correct, right? He argues that because mostly of a nucleus' mass is made out of the space between .... | {"extraction_info": {"found_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/92916/vertex-arrangement-on-the-unit-sphere/93575 | # Vertex arrangement on the unit sphere
The problem is how can I solve a following in polynomial time? There is a graph $G$ with $n$ vertices, and the goal is to find an arrangement of its vertices on an $n$-dimensional unit-sphere so as to maximize the sum of the angles made by the edges. Angles always should be in t... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 11, "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/38490/ordering-ambiguity-in-quantum-hamiltonian/38700 | # Ordering Ambiguity in Quantum Hamiltonian
While dealing with General Sigma models (See e.g. Ref. 1)
$$\tag{10.67} S ~=~ \frac{1}{2}\int \! dt ~g_{ij}(X) \dot{X^i} \dot{X^j},$$
where the Riemann metric can be expanded as,
$$\tag{10.68} g_{ij}(X) ~=~ \delta_{ij} + C_{ijkl}X^kX^l+ \ldots$$ The Hamiltonian is given b... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 37, "mathjax_display_tex": 14, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/m... |
http://stats.stackexchange.com/questions/23753/use-of-autoregressive-metric-for-arima-clustering-and-analysis | # Use of autoregressive metric for ARIMA clustering and analysis
I wonder if anyone has put into use the autoregressive metric for ARIMA clustering proposed by Corduas and Piccolo (2008). The authors define the distance autoregressive metric between two processes $X, Y$ as:
$$\text{d}(X,Y)=\sum_{j=1}^m \left| (\pi_j,... | {"extraction_info": {"found_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://mathoverflow.net/revisions/79420/list | ## Return to Question
4 Addenda (following Yemon Choi's comments)
Question (edited on 10/29/2011). What's known about comprehensive generalisations of Gelfand's spectral theory for unital [associative] normed algebras [over the real or complex field] (*)?
Here, a generalisation should be meant as a framework, say, 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": 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/revisions/39180/list | ## Return to Answer
Nicholas Higham gives an algorithm for estimating the Hölder $p$-norm of a matrix with the estimate being within a factor of $n^{1-1/p} \|\mathbf{A}\|_p$ ; maybe you can somehow adapt this approach to your needs?
Nicholas Higham gives an algorithm for estimating the Hölder $p$-norm of a matrix 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": 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/41057/categories-first-or-categories-last-in-basic-algebra/41075 | ## Categories First Or Categories Last In Basic Algebra?
### Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points)
Recently, I was reminded in Melvyn Nathason's first year graduate algebra course of a debate I've been having both within myself and externally for some ti... | {"extraction_info": {"found_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://stats.stackexchange.com/questions/34238/questions-about-specifying-linear-mixed-models-in-r-for-repeated-measures-data-w | # Questions about specifying linear mixed models in R for repeated measures data with additional nesting structure
## Data Structure
````> str(data)
'data.frame': 6138 obs. of 10 variables:
$ RT : int 484 391 422 516 563 531 406 500 516 578 ...
$ ASCORE : num 5.1 4 3.8 2.6 2.7 6.5 4.9 2.9 2.6 7.2 ...
$ H... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 16, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://physics.aps.org/synopsis-for/print/10.1103/PhysRevB.82.014421 | # Synopsis:
Extreme sensitivity
#### Extreme sensitivity of a frustrated quantum magnet: Cs2CuCl4
Oleg A. Starykh, Hosho Katsura, and Leon Balents
Published July 20, 2010
The challenge with modeling a magnetic material is deciding which interactions are most essential. This is the case with $Cs2CuCl4$, a fr... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 6, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://math.stackexchange.com/questions/180760/when-to-read-of-the-degree-of-a-variety-from-its-defining-polynomials | # When to read of the degree of a variety from its defining polynomials
The question concerns algebraic varieties.
I just read the question The degree of an algebraic curve in higher dimensions and great answer by user M P. One of the thing he says is that if a curve in $\mathbb{P}^n$ is given by $n-1$ equations (whi... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 99, "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/228302/subgroups-of-mathbbz-2-times-mathbbz-12-of-order-6?answertab=oldest | # Subgroups of $\mathbb{Z}_2 \times \mathbb{Z}_{12}$ of order $6$
what are the subgroups of $\mathbb{Z}_2 \times \mathbb{Z}_{12}$ of order $6$? I know that there are three such subgroups, and two subgroups are clear to me, namely the subgroup isomorphic to $\mathbb{Z}_6$ and the subgroup isomorphic to $\mathbb{Z}_2\ti... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 23, "mathjax_display_tex": 3, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://unapologetic.wordpress.com/2010/11/13/projecting-onto-invariants/?like=1&source=post_flair&_wpnonce=a082172354 | # The Unapologetic Mathematician
## Projecting Onto Invariants
Given a $G$-module $V$, we can find the $G$-submodule $V^G$ of $G$-invariant vectors. It’s not just a submodule, but it’s a direct summand. Thus not only does it come with an inclusion mapping $V^G\to V$, but there must be a projection $V\to V^G$. That 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": 0, "wp_latex": 33, "mimetex.cgi": 0, "/images/ma... |
http://gravityandlevity.wordpress.com/2010/12/07/feynmans-ratchet-and-the-perpetual-motion-gambling-scheme/ | ## A blog about the big ideas in physics, plus a few other things
Can you spot a perpetual motion machine when you see one?
In physics, that question is equivalent to “can you spot a scam when you see one?”. That’s because a perpetual motion machine is, by definition, a fraud. It is a device that claims to generate... | {"extraction_info": {"found_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://www.eecs.mit.edu/news-events/calendar/events/toward-optimal-method-convex-optimization-using-inexact-first-order | # Toward an optimal method for convex optimization using an inexact first-order oracle
SHARE:
## Event Speaker:
François Glineur (Université Catholique de Louvain)
## Event Location:
32D-677 (Stata Center, LIDS seminar room)
## Event Date/Time:
Wednesday, November 28, 2012 - 4:00pm
URL: http://perso.uclouvain.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": 6, "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/180575/how-many-small-cancellation-groups-are-there | # How many small cancellation groups are there?
It is known that there are uncountably many groups with two generators. But what about the restriction to small cancellation groups?
Are there countably or uncountably many small cancellation groups?
-
What's a small cancellation group? – Rasmus Aug 9 '12 at 9:38
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": 106, "mathjax_display_tex": 3, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/m... |
http://mathhelpforum.com/pre-calculus/152967-vector-problem-finding-angles-sides-triangle-3d-well-area.html | # Thread:
1. ## Vector Problem. Finding the angles and sides of a triangle in 3d as well as the area.
Problem:
Find all angles and the lengths of all the sides in the triangle with the corners P(1,2,3) Q(0,2,1) R(-2,4-2). Hence compute its area.
Solution so far:
Vectors (u = u2 - u1)
PQ = (-1,0,-2), PR = (-3,2,-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": 1, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://physics.stackexchange.com/questions/29868/why-does-magnetic-field-lines-go-from-plus-to-minus | # Why does magnetic field lines go from plus to minus?
My question is why the magnetic field lines goes from plus to minus, if there was two charge. Is it true or isn't it true.
-
Hi user1098185, and welcome to Physics Stack Exchange! Could you expand on your question? What reason do you have to believe this is true ... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 16, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://physics.stackexchange.com/questions/8359/if-energy-is-only-defined-up-to-a-constant-can-we-really-claim-that-ground-stat/8360 | # If energy is only defined up to a constant, can we really claim that ground state energy has an absolute value?
Sorry if this is really naive, but we learned in Newtonian physics that the total energy of a system is only defined up to an additive constant, since you can always add a constant to the potential energy ... | {"extraction_info": {"found_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/revisions/94269/list | 2 tag typo
1
# level 2,3 characters of affine su(2)
Does anyone know where I can find an explicit formula to compute the level 2 or level 3 characters of affine $su(2)$? I have found several sources that give a formula to compute the level 1 characters in terms of theta functions, but I cannot find anywhere in the li... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 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/316708/prove-it-is-a-circle | # Prove it is a circle
So I have this question:
Let $Q = (4, 8)$, $R = (6, 8)$ and $P = (a, b)$. Let $\lambda\in\mathbb R$ with $0 < \lambda < 1$.
Consider $C =\{P: |QP| = \lambda|RP|\}$
Give an equation to $C$ and prove its a circle.
I'm trying to figure out how to interpret the $\lambda$ symbol to come up with 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": 48, "mathjax_display_tex": 4, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://psychology.wikia.com/wiki/Number_theory?oldid=12022 | Number theory
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Assessment | Biopsychology | Comparative | Cognitive | Developmental | Language | Individual differences | Personality | Philoso... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 7, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://infostructuralist.wordpress.com/category/control/ | # The Information Structuralist
## Stochastic kernels vs. conditional probability distributions
Posted in Control, Feedback, Information Theory, Probability by mraginsky on March 17, 2013
Larry Wasserman‘s recent post about misinterpretation of p-values is a good reminder about a fundamental distinction anyone worki... | {"extraction_info": {"found_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": 27, "mimetex.cgi": 0, "/images/ma... |
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