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http://mathhelpforum.com/differential-geometry/181491-proving-calculation-integral-definition.html | Thread:
1. Proving and calculation an integral from the definition
Hello
I have the following problem: given that f : [a,b] > R is integrable, prove that
g = f/2 is integrable and find the integral.
I'm learning Darboux integrals, so my instinct is to try and calculate the upper and lower sums of g and show that fo... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 1, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://en.wikipedia.org/wiki/Quartile | # Quartile
In descriptive statistics, the quartiles of a ranked set of data values are the three points that divide the data set into four equal groups, each group comprising a quarter of the data. A quartile is a type of quantile. One definition of the lower quartile is the middle number between the smallest number 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": 6, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://unapologetic.wordpress.com/2008/11/13/the-coevaluation-on-vector-spaces/?like=1&source=post_flair&_wpnonce=5b12459335 | # The Unapologetic Mathematician
## The Coevaluation on Vector Spaces
Okay, I noticed that I never really gave the definition of the coevaluation when I introduced categories with duals, because you need some linear algebra. Well, now we have some linear algebra, so let’s do it.
Let $V$ be a finite-dimensional vecto... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 30, "mimetex.cgi": 0, "/images/ma... |
http://physics.stackexchange.com/questions/tagged/statistical-mechanics?page=1&sort=votes&pagesize=30 | # Tagged Questions
The study of large systems through coarse graining microscopic descriptions, providing a more detailed understanding of thermodynamics.
6answers
844 views
### What are the justifying foundations of statistical mechanics without appealing to the ergodic hypothesis?
This question was listed as 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": 32, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://medlibrary.org/medwiki/Cauchy_sequence | # Cauchy sequence
Welcome to MedLibrary.org. For best results, we recommend beginning with the navigation links at the top of the page, which can guide you through our collection of over 14,000 medication labels and package inserts. For additional information on other topics which are not covered by our database of 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": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 101, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/m... |
http://mathoverflow.net/questions/66208?sort=oldest | ## The cone of positive semidefinite matrices is self-dual? (reference needed)
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I'm seeking a reference for the following fact.
The cone of positive semidefinite matrices is self-dual (a.k.a. self-polar).
This ... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathoverflow.net/questions/61921/on-closed-totally-disconnected-subgroups-of-connected-real-lie-groups | ## On closed totally disconnected subgroups of connected real Lie groups
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So the following statement seems to be obvious but I don't see how to prove it:
Q: How does one prove that a closed totally disconnected 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": 70, "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/29384/convergence-of-orthogonal-polynomial-expansions/29390 | ## Convergence of orthogonal polynomial expansions
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"Everyone" knows that for a general $f\in L^2[0,1]$, the Fourier series of $f$ converges to $f$ in the $L^2$ norm but not necessarily in most other senses one mi... | {"extraction_info": {"found_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": 5, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://math.stackexchange.com/questions/182459/an-infinite-set-having-one-more-element-than-another-infinite-set | # An infinite set having “one more element” than another infinite set
A classic example of homeomorphism is between a sphere missing one point and a plane
To see this, place a sphere on the plane so that the sphere is tangent to the plane. Given any point in the plane, construct a line through that point from the "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": 48, "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/4442/is-there-a-theorem-that-says-that-there-is-always-more-than-one-way-to-continue/75260 | ## Is there a theorem that says that there is always more than one way to “continue a finite sequence”?
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I have come across a bit of folklore(?) which goes something like "given any finite sequence of numbers, 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": 45, "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/32506/counting-points-on-lattices/32520 | ## Counting points on lattices
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I expect that the following is a standard problem from analytic number theory, but I don't know where exactly to look for an answer.
Let f: ℤr→ H be a surjective homomorphism into ... | {"extraction_info": {"found_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/4361/cohomology-of-fibrations-over-the-circle/4428 | Cohomology of fibrations over the circle
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Are there any general results on the (integral) cohomology of manifolds that are fibrations over the circle? Any literature references much appreciated.
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1
There's all kind... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 33, "mathjax_display_tex": 2, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://faculty.smu.edu/reynolds/arkode/ | # The ARKode Solver¶
ARKode is a solver for stiff and nonstiff systems of ordinary differential equations (ODEs) given in explicit form,
$M \dot{y} = f_E(t,y) + f_I(t,y).$
Here,
• $$t$$ is the independent variable, e.g. time,
• $$y$$ is the set of dependent variables (in $$\Re^N$$),
• $$M$$ is a user-specified, non... | {"extraction_info": {"found_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": 10, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://physics.stackexchange.com/questions/tagged/particle-physics+quantum-chromodynamics | # Tagged Questions
0answers
45 views
### Are Gribov copies responsible for the observed Mass-gap and color confinement properties of Pure Yang-Mills Theory?
New solutions to the existing problems are presented by the quantum mechanics and Einstein's theory of special relativity when treated together. The creation 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": 28, "mathjax_display_tex": 3, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathoverflow.net/questions/39243/enumerating-triangulations-of-quadrangulations-in-cycles | ## Enumerating triangulations of quadrangulations in cycles
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Consider a cycle of length $(2n+2)$. Now we quadrangulate this cycle into $n$ quadrants. We want to enumerate the number of quadrangulations, and we den... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 12, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathoverflow.net/questions/4994/fundamental-examples/24017 | ## Fundamental Examples
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It is not unusual that a single example or a very few shape an entire mathematical discipline. Can you give examples for such examples? (One example, or few, per post, please)
I'd love 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": 39, "mathjax_display_tex": 3, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://scicomp.stackexchange.com/questions/2788/quickly-computing-inversion-of-a-large-sparse-partial-stochastic-matrix | # Quickly computing inversion of a large sparse partial stochastic matrix
Suppose I have a sparse stochastic matrix $M$ (with thousands or millions of stochastic column vectors), possibly encoding some links in a web graph. Now I split it into two matrices: $D$ containing only the diagonal entries of $M$, and $R$ cont... | {"extraction_info": {"found_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/207344/how-to-find-the-numbers-that-sum-up-to-a-given-number?answertab=votes | # How to find the numbers that sum up to a given number?
I have a list of numbers, finite, about 50 and I want to know which permutations with subsets of that set sum up to a given number. I found a formula for the number of ways but I don't know how to find the actual numbers. Can you help me?
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1
"which permutatio... | {"extraction_info": {"found_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://physics.stackexchange.com/questions/55278/distance-traveled-in-a-simple-two-body-problem?answertab=active | # Distance traveled in a simple two body problem [duplicate]
This question already has an answer here:
• Radial fall in a Newtonian gravitational field [duplicate] 1 answer
I'm trying to program an $N$-body simulation and I'd like to be able to test it with a known solution to a simple, two-body problem. I've looked... | {"extraction_info": {"found_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": 7, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathhelpforum.com/differential-geometry/141627-divergence-flux-volume-independant-limiting-volume-print.html | # divergence = flux / volume is independant of the limiting volume
Printable View
• April 26th 2010, 07:31 PM
maddas
divergence = flux / volume is independant of the limiting volume
In physics books, one often finds the coordinate-free definiton $\mathrm{div}\; \mathbf{f} = \lim \frac1{\mathrm{d}V} \oint \mathbf{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": 2, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://math.stackexchange.com/questions/tagged/circle+coordinate-systems | # Tagged Questions
1answer
85 views
### Find parametric expression of an arc given its start point, end point and central angle in 3D cartesian coordinate system
In a 3D cartesian coordinate system, the coordinates of start point and end point have been given as $(x_1, y_1, z_1)$ and $(x_2, y_2, z_2)$. If the centra... | {"extraction_info": {"found_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/119749/significance-of-eigenvalue?answertab=oldest | Significance of eigenvalue
When I represent a graph with a matrix and calculate its eigenvalues what does it signify? I mean, what will spectral analysis of a graph tell me?
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3 Answers
Here are some things you can learn from eigenvalues.
If there are $d$ distinct eigenvalues, then the diameter of the graph is at ... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 29, "mathjax_display_tex": 5, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://physics.stackexchange.com/questions/32918/interactions-between-the-poles-of-the-same-magnet/32961 | # Interactions Between the poles of the same magnet
Suppose a bar magnet like so :
````[(+m)----------------(-m)]
````
Do the two individual poles interact with each other ?
If yes then how do you explain it if no then how?
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## 2 Answers
There aren't two distinct poles. The battery is made up of lots of tiny ma... | {"extraction_info": {"found_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/194177/algorithmic-complexity-of-i2?answertab=votes | # Algorithmic Complexity of $i^2$
I am new to the Big O notation in regards to algorithm design. I have had some exposure to it but I am not sure how to find the algorithmic complexity of a given function for a summation. If someone can point me in the right direction to solve this problem that would be great.
The Pr... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 41, "mathjax_display_tex": 3, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathoverflow.net/questions/7114?sort=newest | ## Why are planar graphs so exceptional?
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As compared to classes of graphs embeddable in other surfaces.
Some ways in which they're exceptional:
1. Mac Lane's and Whitney's criteria are algebraic characterizatio... | {"extraction_info": {"found_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/117406/finding-probability-distribution-of-a-random-variable-from-the-others | # Finding probability distribution of a random variable from the others
Let $X_1,...,X_n$ be independent exponential distribution.and now i want to calculate the density function of $\sum_{i=1}^{n} X_i$,i tried to find its distributing function,$F(T(X)\le x)$ but then i don't know what to do.
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Got something from 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": 18, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://en.wikisource.org/wiki/Notes_on_the_Principle_of_Action_and_Reaction_in_General_Dynamics | # Notes on the Principle of Action and Reaction in General Dynamics
From Wikisource
Notes on the Principle of Action and Reaction in General Dynamics (1908) by Max Planck, translated by Wikisource
In German: Bemerkungen zum Prinzip der Aktion und Reaktion in der allgemeinen Dynamik, Physikalische Zeitschrift 9 (23... | {"extraction_info": {"found_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/tagged/gravity?sort=active&pagesize=30 | # Tagged Questions
Gravity is an attractive force that affects and is effected by all mass and - in general relativity - energy, pressure and stress. Prefer newtonian-gravity or general-relativity if sensible.
learn more… | top users | synonyms
1answer
14 views
### Can we build a synthetic event horizon?
If we ima... | {"extraction_info": {"found_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/revisions/116580/list | Return to Question
2 added 14 characters in body
Hello,
While studying Sobolev spaces, the following question came to my mind. Any help in this direction is appreciated.
QUESTION
Let $U\subseteq\mathbb{R}^n$ be open. Does there exist a function $f\in L^1_{\text{loc}}(U)$ such that
1) the classical derivative $Df$... | {"extraction_info": {"found_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/20445/coend-computation | Coend computation
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Let
$F:A^{\mbox{op}} \to \mbox{Set}$
and define
`$G_a:A\times A^{\mbox{op}} \to \mbox{Set}$`
`$G_a(b,c) = \mbox{hom}(a,b) \times F(c)$`.
I think the coend of `$G_a$`,
`$\int^AG_a$`,
ought 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": 19, "mathjax_display_tex": 3, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://bakingandmath.wordpress.com/2012/12/10/so-tubular-err-cubular/ | # So tubular! Err… cubular
10 Dec
What I’m reading right now: Special Cube Complexes, a 2008 paper by Frederic Haglund and Dani Wise. Recently Ian Agol proved the Virtual Haken Conjecture , which was a Big Deal in math (this link is LONG but a very well written non-math-person friendly summary of 30 years of math).... | {"extraction_info": {"found_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": 9, "mimetex.cgi": 0, "/images/mat... |
http://math.stackexchange.com/questions/81475/is-it-possible-to-solve-the-argument-maximization-problem-arg-max-x-langle-x | # Is it possible to solve the argument maximization problem $\arg\max_x \langle x,l\rangle - f_1(x) - f_2(x)$ via convex duality?
I am attemping to solve the argument maximization problem
$$\arg\sup_x \{\langle x,l\rangle - f_1(x) - f_2(x)\}\qquad\qquad\qquad\qquad (1)$$
where the functions $f_1$ and $f_2$ are conca... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 9, "mathjax_display_tex": 3, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://scicomp.stackexchange.com/questions/tagged/nonlinear-equations | # Tagged Questions
The nonlinear-equations tag has no wiki summary.
1answer
23 views
### How do I extrapolate data from a NON-LINEAR (logarithmic) standard curve in Excel?
I have made a standard curve. The X-axis is logarithmic. The y-axis is linear. I have added a logarithmic trendline (y = -1.546ln(x) + 39.254; R... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 7, "mathjax_display_tex": 2, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://math.stackexchange.com/questions/173860/why-is-choosing-elements-in-equivalence-classes-not-a-choice | # Why is choosing elements in equivalence classes not a choice?
This is Asaf's answer from this link: How do we know an $\aleph_1$ exists at all?
I don't understand this sentence that is;
From each equivalence class choose the representative which is an ordinal (which does not require any form of choice, as the equi... | {"extraction_info": {"found_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://ams.org/bookstore?fn=20&arg1=amsipseries&ikey=AMSIP-45 | New Titles | FAQ | Keep Informed | Review Cart | Contact Us Quick Search (Advanced Search ) Browse by Subject General Interest Logic & Foundations Number Theory Algebra & Algebraic Geometry Discrete Math & Combinatorics Ana... | {"extraction_info": {"found_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://math.stackexchange.com/questions/296551/what-is-a-minimal-polynomial-of-a-group-element-and-why-would-we-care-if-it-was?answertab=votes | What is a minimal polynomial of a group element, and why would we care if it was quadratic?
EDIT: the $p$-stable definition I give below is incorrect. I have included the correct definition as an answer to this question.
I am trying to understand the definition of a p-stable group. The first part of the definition 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": 142, "mathjax_display_tex": 3, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/m... |
http://math.stackexchange.com/questions/273155/where-have-i-made-my-mistake-in-calculating-p-1ap | # Where have I made my mistake in calculating $P^{-1}AP$?
I have
$$Q = \begin{pmatrix} -\mu & \mu \\ \lambda & -\lambda \end{pmatrix}$$
and I want to work out the value of $\mathbb{P}(t) = \exp(Qt)$
So I diagonalised $Q$ and then worked out the exponential of the diagonal matrix. I got this to be:
$${Q}t = \pmatri... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 36, "mathjax_display_tex": 9, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathhelpforum.com/math-software/174764-reduce-precision-mathematica-print.html | # Reduce Precision in Mathematica
Printable View
• March 16th 2011, 08:39 AM
mattfred
Reduce Precision in Mathematica
I've spent quite a bit of time searching for an answer to my problem, but one of the main problems is that I don't exactly know how to phrase it correctly.
I have an equation in two variable that I w... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 1, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathhelpforum.com/advanced-algebra/214681-explicit-description-line.html | Thread:
1. explicit description of a line?
Find an explicit description of the line 3x+2y = 0 in R2 through the origin.
the answer is:
span {[2, -3]} , but how?
2. Re: Explicit description of a line?
The line $3x+2y=0$ in $\mathbb R^2$ is spanned by any nonzero vector $\begin{pmatrix}x \\ y\end{pmatrix}$ such that... | {"extraction_info": {"found_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://crypto.stackexchange.com/questions/tagged/complexity+encryption | # Tagged Questions
1answer
389 views
### How do I derive the time complexity of encryption and decryption based on modular arithmetic?
I want to calculate the time complexity of two encryption and decryption algorithms. The first one (RSA-like) has the encryption $$C := M^e \bmod N$$ and decryption $$M_P := C^d \bmo... | {"extraction_info": {"found_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://mathoverflow.net/questions/12100?sort=oldest | ## Why Weil group and not Absolute Galois group?
### Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points)
In many formulation of Class Field theory, the Weil group is favored as compared to the Absolute Galois group. May I asked why it is so? I know that Weil group can... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 75, "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/206679/integer-solutions-of-x-y-z/206711 | # Integer solutions of $x! = y! + z!$
There was an interesting problem asked about triples $(x,y,z)$ which are solutions of
$$x! = y! + z!.$$
Here $(2,1,1)$ is a solution because $2! = 1! + 1!$, as are $(2,1,0)$ and $(2,0,1)$.
Now I wanted to analyze this a bit further and thought of using the gamma function defini... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 59, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://math.stackexchange.com/questions/14963/bi-invariant-metrics-on-sl-n-mathbbr | # Bi invariant metrics on $SL_n(\mathbb{R})$
Does there exist a bi-Invariant metric on $SL_n(\mathbb{R})$. I tried to google a bit but I didn't find anything helpful.
-
Doesn' t the negative of the Killing form do? – Mariano Suárez-Alvarez♦ Dec 20 '10 at 16:04
Ah: That gives a biinvariant semiRiemannian metric, rath... | {"extraction_info": {"found_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/20306/joining-the-definitions-of-entropy | Joining the definitions of entropy
$\int \frac{Q_{rev}}{T} = \Delta(k_B\ln\Omega)=\Delta S$
Could anyone give some definite proof for this?
I was able to prove that the two definitions of change in entropy are equivalent for an isothermal process carried out on a gas (by quantizing space and then limiting the quantiz... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 36, "mathjax_display_tex": 2, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathhelpforum.com/differential-equations/190618-existence-uniqueness-theorem-print.html | # Existence and Uniqueness Theorem
Printable View
• October 17th 2011, 12:32 PM
JohnDoe
Existence and Uniqueness Theorem
Greetings I have a question about the basic existence and uniqueness theorem for nth order homogeneous linear differential equations on a certain interval.If $f(x_0)=0,f'(x_0)=0,...,f^{(n-1)}(x_0)$... | {"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": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 21, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://www.physicsforums.com/showpost.php?p=2689902&postcount=5 | View Single Post
My question is then: Does the time dilation due to gravity need to be added to the time dilation due to velocity? IE, GPS satellites - do they have to account for both? IE: $$T_{1}=T_{2}\sqrt{1-{Gm_{1}}/r^2} + T_{2}\sqrt{1-{2Gm_{1}}/r^2}$$ Where the first term is the time dilation due to the veloc... | {"extraction_info": {"found_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/54909/geodesic-versus-geodesic-loop | # Geodesic versus geodesic loop
Let (M,g) be a closed manifold and let $\alpha$ be an element of $G=\pi_1(M,p)$ we can define the norm of $\alpha$ with respect to p as the infinimum riemannian length of a representative of $\alpha$ . people say this norm is realised by a geodesic loop at p my question is why it is rea... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 34, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://regularize.wordpress.com/2013/01/16/comparing-shapes-from-prokhorovwasserstein-over-hausdorff-to-gromov-hausdorff-metrics/ | # regularize
Trying to keep track of what I stumble upon
January 16, 2013
## Comparing shapes: From Prokhorov/Wasserstein over Hausdorff to Gromov-Hausdorff metrics
Posted by Dirk under Imaging, Math | Tags: functional analysis, gromov-hausdorff metric, hausdorff metric, image processing, metrics spaces, prokhorov ... | {"extraction_info": {"found_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": 212, "mimetex.cgi": 0, "/images/m... |
http://math.stackexchange.com/questions/122384/venn-diagram-3-set?answertab=active | # Venn diagram 3 set
I understand Venn diagram equations of 2 sets. It has been perhaps 3 years since I have done Venn diagram so I have gotten really rusty at this.
I don't understand in the equation for 3 sets why in the end they add the intersection of 3 sets...
I have such a hard time visualising these diagrams ... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 64, "mathjax_display_tex": 13, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/m... |
http://mathhelpforum.com/advanced-algebra/145142-finding-eigenvalues.html | # Thread:
1. ## Finding eigenvalues
Let $T: P_2 \mapsto P_2$ be defined by T(p)=xp'. Find eigenvalues of T.
I'm not sure what the notation of T(p)=xp' means and how to go about finding the eigenvalues.
Thanks.
2. Originally Posted by wattkow
Let $T: P_2 \mapsto P_2$ be defined by T(p)=xp'. Find eigenvalues of 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": 39, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://math.stackexchange.com/questions/83042/how-to-calculate-a-specific-area-inside-a-circle?answertab=active | # How to calculate a specific area inside a circle?
I want to calculate the area displayed in yellow in the following picture:
The red square has an area of `1`. For any given square, I'm looking for the simplest formula to compute the yellow area in this picture.
(Squares are actually pixels in an image processing ... | {"extraction_info": {"found_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://math.stackexchange.com/questions/20156/is-there-a-point-of-no-hearing-if-two-speakers-are-emitting-the-same-sounds-wa | # Is there a point of no hearing if two speakers are emitting the same sounds - Wave Superposition
I'm talking bout this phenomenon (The third one):
I would like to know if with sound waves, happen the same as with (water) waves.
So, If two speakers were emitting the same sound, would there technically be a point wh... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 11, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathoverflow.net/questions/32292/what-are-some-of-the-big-open-problems-in-3-manifold-theory/36594 | ## What are some of the big open problems in 3-manifold theory?
### Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points)
From what I understand, the geometrization theorem and its proof helped to settle a lot of outstanding questions about the geometry and topology 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": 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/242291/curious-facts-about-ordinal-numbers?answertab=oldest | # Curious facts about ordinal numbers
I have some notes about curious facts about ordinal numbers, for example that their addition is not commutative, multiplication is not distributive from the right hand side and that the exponent rule doesn't always hold. Also that some things that are undefined in analysis like $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": 17, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://math.stackexchange.com/questions/207543/how-to-programmatically-find-the-inverse-of-a-2x2-matrix-mod-26 | # How to programmatically find the inverse of a 2x2 matrix (mod 26).
I'm trying to create a hill cipher utility. One feature I want is to be able to compute the key if you have the plaintext and ciphertext.
$C$ = ciphertext matrix ($2\times 2$), $P$ = plaintext matrix $\left(2\times\frac{N}{2}\right)$, $K$ = key ($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": 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/math-challenge-problems/137094-classic-geometry-problem.html | # Thread:
1. ## A classic geometry problem
Challenge Question:
Triangle $ABC$ is an isosceles triangle with base $BC$ , the included angle of $A$ is $20$ degree . A point $D$is marked off on side $AC$ such that $AD = BC$ . What is the angle of $ABD$ ?
Moderator edit: This is now an approved challenge question.
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": 118, "wp_latex": 0, "mimetex.cgi": 0, "/images/m... |
http://mathhelpforum.com/advanced-algebra/205168-circle-group-related-groups-print.html | The circle group and related groups
Printable View
• October 12th 2012, 01:12 AM
tnsten
The circle group and related groups
Hello!
My problem is as follows:
Circle group $T$ = \{z \in C: |z| = 1\}$, $G_n = \{z \in T: z^n = 1\}, G = \cup_{i = 1}^\infty(G_n)$$
First of all, which are cyclic? T is not as it is not cou... | {"extraction_info": {"found_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/questions/3334/can-i-build-a-secure-tweakable-block-cipher-from-a-normal-one-by-adding-key-and?answertab=votes | Can I build a secure tweakable block cipher from a normal one by adding key and tweak?
Let `(E,D)` be a secure block cipher.
Consider the following tweakable block cipher:
````E'(k,t,x) = E( (k+t) mod |K|, x)
D'(k,t,c) = D( (k+t) mod |K|, c)
````
Is `(E',D')` secure?
-
2 Answers
Well, whether it is a secure twea... | {"extraction_info": {"found_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/62761-calculus-volume-problem.html | # Thread:
1. ## calculus volume problem
From Calculus 1:
A ball of radius 13 has a round hole of radius 7 drilled through its center. Find the volume of the resulting solid.
Okay, I have no idea what I am doing wrong here:
General plan is to find the volume of the ball and then subtract the volume of the part dril... | {"extraction_info": {"found_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://mathoverflow.net/questions/tagged/elliptic-surfaces | ## Tagged Questions
0answers
127 views
### Topology of K3 as a sum of two abelian fibrations.
Let $E$ be a blow-up of $\mathbb{P}^2$ at 9-points in the bases locus of a pencil of elliptic curves (A $T^2$ fibration over $S^2$). K3 surfaces is obtained by removing a fiber fr …
0answers
190 views
### Singular fibers 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": 17, "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/tagged/kullback-leibler | # Tagged Questions
The kullback-leibler tag has no wiki summary.
0answers
22 views
### Symmetric Kullback-Leibler divergence OR Mutual Information as a metric of distance between two distributions?
I need some metric of divergence of two distributions. (They are complex and don't fit with exponential family, normal... | {"extraction_info": {"found_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": 2, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathoverflow.net/questions/61763/zero-cycles-on-an-arithmetic-surface/61771 | Zero-cycles on an arithmetic surface
Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points)
Could anyone give a reference for the following statement, which I believe is true.
"Let X be a regular scheme, flat over $Spec( \mathbb{Z})$, with fiber dimension $1$. Then 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://mathoverflow.net/questions/76412?sort=oldest | ## reference for the slice theorem for Banach Lie group actions on Banach manifolds
### Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points)
I am looking for a reference treating the slice theorem for Banach Lie group actions on Banach manifolds, i.e. proving that a sm... | {"extraction_info": {"found_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": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathoverflow.net/questions/119981/are-all-anabelian-galois-actions-faithful/119984 | ## Are all anabelian Galois actions faithful?
### Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points)
Let $C/\mathbb Q$ be a smooth projective curve of genus $g\geq 2$ or a smooth affine curve of genus $g \geq 1$. The exact sequence
$1 \to \pi_1^{et}(C \otimes_\mathb... | {"extraction_info": {"found_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://stats.stackexchange.com/questions/20904/two-way-mixed-effects-anova-model | # Two-way mixed effects ANOVA model
Consider the two-way ANOVA model with mixed effects : $$Y_{i,j,k} = \underset{M_{i,j}}{\underbrace{\mu + \alpha_i + B_j + C_{i,j}}} + \epsilon_{i,j,k},$$ with $\textbf{(1)}$ : $\sum \alpha_i = 0$, the random terms $B_j$, $C_{i,j}$ and $\epsilon_{i,j,k}$ are independent, $B_j \sim_{\... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 52, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathoverflow.net/revisions/56451/list | ## Return to Answer
3 correct hypothesis
I realized that I completely missed the second part of the question (the example). Note that ZMT implies that $f$ is a quasi-affine morphism. Then $X\to \mathit{Spec}(f_*\mathcal O_X)$ is always an open immersion (see stack project, chapter 21, Lemma 12.3). So the Stein factor... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 52, "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/174646/approximation-of-function-on-interval?answertab=votes | # Approximation of function on interval
I'm looking for an accurate but as simple as possible approximation of
$S(x,\lambda) = \frac{1}{(1-x) [x-(1-\lambda )]}\left((1+\lambda ) \left(\frac{x(1+\lambda)}{1-\lambda }\right)^{\frac{x(1-\lambda )-(1-\lambda )}{x(1+\lambda )-(1-\lambda )}}-\lambda -x\right)$
for $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": 49, "mathjax_display_tex": 2, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://www.physicsforums.com/showthread.php?p=4267337 | Physics Forums
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Gold Member
## Pisano Periods - Fibonacci Numbers mod p
Let Fn be the nth number of a Fibonacci sequence.
We know that Fnmod(p) forms a periodic sequence (http://en.wikipedia.org/wiki/Pisano_period) called the Pisano Period.
Let p = a prime such that p$\equiv${2,3}mod 5 so that h(p)$\mid... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 36, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://math.stackexchange.com/questions/247795/what-is-the-covariance-of-mixture-bernoulli-distribution/247819 | # What is the covariance of mixture Bernoulli distribution?
For mixture of multivariate Bernoulli distribution we have that,
$$p(x|\mu,\pi) =\Sigma_{k=1}^{K}\pi_kp(x|\mu_k)$$ where $$p(x|\mu_k) = \prod_{i=1}^{D}\mu_{ki}^{x_i}(1-\mu_{ki})^{1-x_i}$$
I read it from the book that
$$E[x] = \Sigma_{i=1}^{K}\pi_k\mu_k$$ $... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 12, "mathjax_display_tex": 5, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://math.stackexchange.com/questions/228972/solving-an-equation-with-different-base/228975 | solving an equation with different base
I am trying to solve a equation $(2^x)(3^{x-2}) = 4$ (the solution is $x = 2$)
My approach is to use the natural logarithm $\ln$ (that's suggested when googleing the problem)
So this is how it goes for me:
$$\ln{2^x}\cdot\ln{3^{x-2}} = \ln{2^2}$$
but I am unsure if using $\l... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 15, "mathjax_display_tex": 6, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://physics.stackexchange.com/questions/18280/why-do-quantum-physical-properties-come-in-pairs/18283 | # Why do quantum physical properties come in pairs?
Why do quantum physical properties come in pairs, governed by the uncertainty principle (that is, position and momentum?)
Why not in groups of three, four, etc.?
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## 8 Answers
The duality is a duality because of the notion of canonical conjugation in classical m... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 24, "mathjax_display_tex": 10, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/m... |
http://math.stackexchange.com/questions/151665/integral-with-4-radicals-hat | # Integral with 4 radicals-hat
I'd like to find out a simple way for calculating the value of:
$$\int_{0}^{1}\sqrt{1+\sqrt{1 + {\sqrt{1+ \sqrt{x}}}}}\,dx .$$
Of course, I thought of some variable change, but it seems pretty complicated. On the other hand, I wonder if there can be made a generalization when having 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": 8, "mathjax_display_tex": 14, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://stats.stackexchange.com/questions/40859/combination-of-2-random-variables-that-is-perfectly-correlated-with-another-rand | # Combination of 2 random variables that is perfectly correlated with another random variable
I'd appreciate some pointers for the following question: Given 3 random variables $X_i$, $i = 1, 2, 3$ such that none of them have a pairwise correlation of $+1$ or $−1$. Can we find a combination of $X_1$ and $X_2$ that 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": 16, "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/162168-recursive-sequence-convergence-print.html | Recursive Sequence Convergence
Printable View
• November 5th 2010, 01:10 AM
valerian
Recursive Sequence Convergence
$x_0 > x_1$ and r and s are positive numbers with p + q = 1. $x_n = px_{n-1} + qx_{n-2}$ for all $n \geq 2$. Prove that $(x_n)$ is convergent and find limits in terms of $x_0, x_1$, p and q.
Okay I beg... | {"extraction_info": {"found_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": 35, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://www.physicsforums.com/showthread.php?t=588821 | Physics Forums
New Reply
Page 1 of 2 1 2 >
## Schrodinger equation for one dimensional square well
1. The problem statement, all variables and given/known data
the question as well as the hint is shown in the 3 attachments
2. Relevant equations
3. The attempt at a solution
i know how to normalize an equation... | {"extraction_info": {"found_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://mathhelpforum.com/calculus/99699-length-given-curve.html | # Thread:
1. ## length of the given curve
one of my HW problems is to find the arc length of the given curve for $x=t^2, y=(3^{1/2}4/3)t^{3/2}, z=3t, 1 <= t <= 4$
now i have the definite integral that goes from 1 to 4, with the equation $(4t^2 + 12t + 9) dt$.
but how do I solve this integral? it seems too hard
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": 5, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathoverflow.net/questions/102013/is-the-springer-resolution-a-blow-up | ## Is the Springer resolution a blow-up?
### Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points)
Let's consider the Springer resolution of the nilpotent cone $\mathcal{N}$ of a complex semisimple Lie algebra $\mathfrak{g}$, which is $$\widetilde{\mathcal{N}}=T^*\mathc... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 15, "mathjax_display_tex": 2, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://math.stackexchange.com/questions/229710/what-is-the-composition-of-relations-like-this-with-no-transitive-relations-bet | # What is the composition of relations like this? With no transitive relations between them?
Given
$R_1 = \{(1,2),(5,3)\}\quad\quad R_2 = \{(6,4),(5,7)\}$
What is $R_2 \circ R_1$?
Because in my understanding, using the example
$R_3 = \{(1,2),(3,4)\} \quad\quad R_4 = \{ (2,5),(6,7)\}$
Then $R_4\circ R_3 = \{(1,5)\... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 18, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathhelpforum.com/math-topics/124251-expanding-brackets.html | # Thread:
1. ## multiplication
hi, i need to expand these brackets , i know the answer will be 20 but i need to know what =
2. Originally Posted by andyboy179
hi, i need to expand these brackets , i know the answer will be 20 but i need to know what =
$(2-4\sqrt{3})(2+4\sqrt{3}) \Rightarrow 2^2 - (4\sqrt{3})^2 \Righ... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 2, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://physics.stackexchange.com/questions/17517/how-do-formulas-get-figured-out | # How do formulas get figured out?
Many of the formulas I learn in school are derived from more basic formulas — as long you your math is right and assuming the more basic formulas you used are correct, you are bound to get to a correct result... But how do people 'invent' the elementary formulas, like $F=ma$; how can... | {"extraction_info": {"found_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/122722/meaning-of-a-logical-operator?answertab=active | # Meaning of a Logical Operator
Is it possible to know what those operator mean if they must be involved in this logicical condition? What is all the possible meaning of those two symbol if you don't know the symbol's meaning beforehand: (¬A) ⊕ A is always true, A ⊕ A is always false and with just those definition gi... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 19, "mathjax_display_tex": 2, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://math.stackexchange.com/questions/144256/sum-from-0-to-n-of-n-choose-i/144279 | # Sum from 0 to n of $n \choose i$? [duplicate]
Possible Duplicate:
Algebraic Proof that $\sum\limits_{i=0}^n \binom{n}{i}=2^n$
Evaluation $\sum\limits_{k=0}^n \binom{n}{k}$
Is there a simple proof for this equality:
$$\sum_0^n {n \choose i} = 2^n$$
thanks and sorry I forgot the basics
-
– Kirthi Raman May 12 '12... | {"extraction_info": {"found_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": 6, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://math.stackexchange.com/questions/273198/how-do-i-prove-if-f-n-is-a-sequence-of-extended-real-measurable-functions | # How do i prove if $\{f_n\}$ is a sequence of extended-real measurable functions, then $\sup_n f_n$ is measurable
Rudin-RCA p.15
Let $X$ be a measurable space. Let $\{f_n\}$ be a sequence of extended-real measurable functions on $X$.
How do i prove that $\sup_n f_n$ is measurable?
Rudin uses a criterion to prove 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": 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/calculus/62670-center-mass-problem.html | # Thread:
1. ## Center of Mass problem
Let $y=9-x^2, y=0, x=0$
Find a number h such that y=h would cut the region into two equal areas.
Now, I found out that the center of mass is (1,3.6), but how do I find the line? Do I just find the line that cut across (0,0) and (1,3.6)? The problem is the hint says that I need... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 15, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathforum.org/mathimages/index.php?title=Henon_Attractor&oldid=8310 | Henon Attractor
From Math Images
Revision as of 15:13, 10 July 2009 by Mkelly1 (Talk | contribs)
Henon Attractor
Fields: Dynamic Systems and Fractals
Image Created By: Piecewise Affine Dynamics
Website: Lozi Maps
Henon Attractor
This image is a Henon Attractor (named after astronomer and mathematician Michel Henon... | {"extraction_info": {"found_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": 26, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://math.stackexchange.com/questions/208774/an-exercise-on-set-theory | # An exercise on set theory
The type of exercise I'm about to speak of seems quite basic however I didn't have any exposure to it until recently so please provide me with some pointers on how to work it out.
Show that if the sets A, B and C satisfy the following relations simultaneously:
$A\cup B = C\\ (A\cup C) \ca... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 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/231961/the-group-homomorphism-from-z-to-q | # The group homomorphism from Z to Q*
Let F be non trivial group homomorphism F: Z -> Q*. Want to prove that either Ker(F)={0} or Ker(F)= 2Z.
Okay here is what i did;
since i know that if there is homomorphism between two groups then there should be and isomorphism T such that, T: Z/Ker(F) -> Image(F).
so i took 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": 40, "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/variable-definitions+list-manipulation | # Tagged Questions
1answer
62 views
### Strange behaviour of variables in Table
I'm trying to work with some vectors and have run into a strange problem. An obvious way to define a difference of two vectors would be dif[x_,y_] := x-y I ...
2answers
124 views
### How can I assign some part of data from one list to a... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 4, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://math.stackexchange.com/questions/36356/how-to-find-the-number-of-continued-fraction-from-a-periodic-representation | # How to find the number of continued fraction from a periodic representation?
Problem
Find the number that represented by $[2,2,2 \ldots]$
I know it wasn't difficult, but I was absent the last two classes. So I just want to make sure that I got it right.
My attempt was,
Consider $x = [2;\overline{2}] \implies [2;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": 9, "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/54742/gaussian-curvature-radius/54765 | ## Gaussian curvature radius
### Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points)
In the paper Surface sampling and the intrinsic Voronoi diagram (2008), Ramsay Dyer defines the Gaussian curvature radius at a point $x$ of a surface $S$ to be $\rho_K(x) = 1/\sqrt{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": 30, "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=1858676 | Physics Forums
Thread Closed
Page 1 of 2 1 2 >
## Integral of a delta function from -infinity to 0 or 0 to +infinity
Hello everyone
Today in my QM class, a discussion arose on the definition of the delta function using the Heaviside step function $\Theta(x)$ (= 0 for x < 0 and 1 for x > 0). Specifically,
$$\... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 51, "mathjax_display_tex": 32, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/m... |
http://mathoverflow.net/revisions/49742/list | ## Return to Answer
4 added 148 characters in body
The Turing degrees are an immensely intricate poset $\mathcal{D}$. Here are some of their remarkable properites:
1. Every countable poset is embeddable in $\mathcal{D}$.
2. $\mathcal{D}$ contains minimal degrees. (a non-zero degree $\mathbf{m}$ with no degree betwee... | {"extraction_info": {"found_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": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://unapologetic.wordpress.com/2008/01/31/some-theorems-about-metric-spaces/?like=1&source=post_flair&_wpnonce=8149a33672 | # The Unapologetic Mathematician
## Some theorems about metric spaces
We need to get down a few facts about metric spaces before we can continue on our course. Firstly, as I alluded in an earlier comment, compact metric spaces are sequentially compact — every sequence has a convergent subsequence.
To see this fact, ... | {"extraction_info": {"found_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": 56, "mimetex.cgi": 0, "/images/ma... |
http://math.stackexchange.com/questions/178000/series-can-the-result-be-zero-for-a-continuous-interval-of-its-argument | series: can the result be zero for a continuous interval of its argument?
I'm considering the series $$f_c(x) = \sum_{k=c}^\infty \left( c^{k-1} \binom{k}{c} \cdot \prod_{j=1}^{k-1} (x-1/j) \right)$$ where the parameter $c \in \mathbb N ,c \gt 0$ and fixed for a certain discussion.
Let's denote the product-term $\prod... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 15, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathoverflow.net/questions/82444?sort=oldest | ## Elliptic pseudodifferential operator estimate [closed]
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If $P$ is an elliptic pseudodifferential operator of order 1 in the sense that its principal symbol is invertible, then we have the a priori estimate
`$\... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 5, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://quant.stackexchange.com/questions/tagged/regression+return | # Tagged Questions
1answer
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### Regression giving the return on a stock
I have this regression equation: $$R_{stock} = 3,28\% + 1,65*R_{market}$$ Where $R_{stock}$ is the expected return on a stock and $R_{market}$ being the market risk premium. I have a one-year ... | {"extraction_info": {"found_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://mathoverflow.net/questions/79621?sort=oldest | ## Two rectangular parallelepiped
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Prove that if we have two rectangular parallelepiped (cuboids) such that one of them is placed inside the other then the sum of the three lengths of the inner parallelepiped is a... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 21, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathoverflow.net/questions/34314?sort=newest | ## When is an algebra of commuting matrices (contained in one) generated by a single matrix?
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Let C be an nxn matrix, then the polynomials in C (with appropriate coefficients) form an algebra of commuting matrices... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 63, "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=4231587 | Physics Forums
## Equation for Induction of Electric Current in Magnetic Field
I am looking for something that should be relatively simple to find, but as such, I have not been successful. I know that an electric current can be created by moving through a magnetic field. I have found equations that indicate this can ... | {"extraction_info": {"found_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": 4, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://nrich.maths.org/6787/solution | ### 14 Divisors
What is the smallest number with exactly 14 divisors?
### Summing Consecutive Numbers
Many numbers can be expressed as the sum of two or more consecutive integers. For example, 15=7+8 and 10=1+2+3+4. Can you say which numbers can be expressed in this way?
### Rule of Three
If it takes four men 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": 4, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
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