url stringlengths 17 172 | text stringlengths 44 1.14M | metadata stringlengths 820 832 |
|---|---|---|
http://physics.stackexchange.com/questions/tagged/homework?page=2&sort=active&pagesize=15 | # Tagged Questions
Applies to questions of primarily educational value - not only questions that arise from actual homework assignments, but any question where it is preferable to guide the asker to the answer rather than giving it away outright.
learn more… | top users | synonyms
1answer
35 views
### Diagonal matr... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 50, "mathjax_display_tex": 10, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/m... |
http://mathematica.stackexchange.com/questions/tagged/random+numerics | Tagged Questions
1answer
150 views
RandomReal closed on left & open on right?
I have a number of algorithms that depend on uniform random reals in half-open intervals such as $[0,1)$. In particular, I need a (pseudo) random-number generator that produces machine-precision ...
2answers
1k views
Efficient Langevin Eq... | {"extraction_info": {"found_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://math.stackexchange.com/questions/144051/counterexample-to-cancellation-law-in-cardinals-addition | # Counterexample to cancellation law in cardinals addition
Charles C.Pinter - Set theory
Let $a,b,c$ be any cardinal numbers.
Give a counterexample to the rule: $$a+b = a+c \implies b=c$$
Does there exist a counterexample?
-
What is an infinite cardinal plus a finite cardinal? – David Mitra May 11 '12 at 22:54
– ... | {"extraction_info": {"found_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": 4, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://math.stackexchange.com/questions/95192/can-you-approximate-a-vector-field/187189 | Can you approximate a vector field?
Say you have a physical simulation, there are "wind current" vectors stored in a 2d space.
So you know that the vectors near each other will likely be similar in direction.
Can we capitalize on the "similarity" across the vector field, and use it to write an approximation to the v... | {"extraction_info": {"found_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/297088/dim-cx-mathbbr-infty-we-need-to-show-x-infty | # $\dim$ $C(X,\mathbb{R})<\infty$ we need to show $|X|<\infty$,
$X$ be a compact hausdorf space such that $\dim$ $C(X,\mathbb{R})<\infty$ we need to show $|X|<\infty$, I must say I have no idea how to prove this result. please help. Thank you!
-
Can you show that you can always extend a function defined on a finite 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": 27, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://gravityandlevity.wordpress.com/2010/08/30/our-stability-is-but-balance-freeman-dyson-on-how-to-imagine-quantum-fields/ | ## A blog about the big ideas in physics, plus a few other things
In the last post I told the story of my own struggles with quantum field theory and what it is supposed to mean. In this post (as promised), I want to let someone much more intelligent and eloquent tell the story of quantum fields.
The following are e... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 11, "mimetex.cgi": 0, "/images/ma... |
http://math.stackexchange.com/questions/tagged/axiom-of-choice+functions | # Tagged Questions
2answers
602 views
### Is there a Cantor-Schroder-Bernstein statement about surjective maps?
Let $A,B$ be two sets. The Cantor-Schroder-Bernstein states that if there is an injection $f\colon A\to B$ and an injection $g\colon B\to A$, then there exists a bijection $h\colon A\to B$. I was ...
3answ... | {"extraction_info": {"found_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/19303/good-example-of-a-non-continuous-function-all-of-whose-partial-derivatives-exist/19470 | ## Good example of a non-continuous function all of whose partial derivatives exist
### Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points)
What's a good example to illustrate the fact that a function all of whose partial derivatives exist may not be continuous?
-
3... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 24, "mathjax_display_tex": 4, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathhelpforum.com/number-theory/197528-intermediate-value-theorem.html | # Thread:
1. ## Intermediate Value Theorem
Hey guys,
Having a little difficulty trying to understand what this question is trying to ask me.
The questions says: "Suppose that f is continuous on [a,b] and f takes only rational values. What can be concluded about f?"
I know that the question is relating to the inter... | {"extraction_info": {"found_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://physics.stackexchange.com/questions/234/how-should-a-physics-student-study-mathematics | # How should a physics student study mathematics? [closed]
Note: I will expand this question with more specific points when I have my own internet connection and more time (we're moving in, so I'm at a friend's house).
This question is broad, involved, and to some degree subjective.
(I started out as a physics-only ... | {"extraction_info": {"found_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/4246?sort=votes | Why is Milnor K-theory not ad hoc?
Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points)
When Milnor introduced in "Algebraic K-Theory and Quadratic Forms" the Milnor K-groups he said that his definition is motivated by Matsumoto's presentation of algebraic for a field ... | {"extraction_info": {"found_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": 2, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathhelpforum.com/advanced-algebra/192327-find-all-inner-products-such-x-tx-0-a-print.html | # Find all "Inner Products" such that <x, Tx> = 0.
Printable View
• November 20th 2011, 10:57 AM
TaylorM0192
Find all "Inner Products" such that <x, Tx> = 0.
Hello,
I came across this problem while preparing for one of my midterms, and it erks me that I still can't find a solution.
Given an linear operator T: R^2 -... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 20, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathoverflow.net/revisions/116742/list | ## Return to Answer
1 [made Community Wiki]
Here's one idea. For every permutation $\pi$ of length $n$, there are $n^2+1$ permutation of length $n+1$ containing $\pi$. However, once you look at permutations of length $n+2$, this quantity depends on $\pi$. Ray and West gave a proof that for $\pi$ of length $n$ the num... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 14, "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/110191/stopping-time-on-wiener-process | # Stopping time on Wiener Process
Let $W_t$ be a Wiener process and for $a\geq0$
$$\tau_a:=\inf \left\{ t\geq0: |W_t|=\sqrt{at+7} \right\}.$$
Is $\tau_a<\infty$ almost everywhere? What about $E(\tau_a)$ then?
-
2
By the law of the iterated logarithm, you should have $\tau_a<\infty$. – ShawnD Feb 17 '12 at 0:45
So ... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 32, "mathjax_display_tex": 2, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://cotpi.com/p/ | Sunday, March 31, 2013
## Boolean financial advisors
Alex and Bob work as financial advisors for the same company. They draw equal salaries from the company. They behave well at the office. Both work on similar assignments. Each assignment requires a yes-no decision. The company uses the decisions made by them to mak... | {"extraction_info": {"found_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": 11, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://math.stackexchange.com/questions/296037/solve-recurrences-by-obtaining-a-bound-for-tn-given-that-t1-1/296139 | # Solve recurrences by obtaining a θ bound for T(N) given that T(1) = θ(1)
$T(N) = N + T(N-3)$
This is what I got so far
$$\begin{align}&= T(N-6) + (N-3)+N\\ &= T(N-9) + (N-6) + (N-3)+N \\ &= T(N-12) + (N-9) + (N-6) + (N-3)+ N\end{align}$$
I think I should use $(n^2 + n) / 2$.
im not sure if im doing it right or 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": 22, "mathjax_display_tex": 8, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://physics.stackexchange.com/questions/47987/topology-and-quantum-mechanics/48023 | # Topology and Quantum mechanics
I have a very simple question. Can we know about the topology of the underlying space-time manifolds from Quantum mechanics calculations? If the Space-time is not simply connected, how can one measure the effects of this from calculating transition amplitudes in the path integral forma... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 9, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathoverflow.net/questions/77644?sort=votes | ## Are there nonobvious cases where equations have finitely many algebraic integer solutions?
### Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points)
Let $X$ be a scheme of finite type over $\mathbb{Z}$. Let $R$ be the ring of algebraic integers. My intuition is 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": 45, "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/67328/about-cyclotomic-extensions-of-p-adic-fields/67352 | # About cyclotomic extensions of $p$-adic fields
I've been working on the problem of finding the maximal abelian extension of $\mathbb{Q}_5$ that is killed by $5$. In other words, find the abelian extension of $\mathbb{Q}_5$ with Galois group isomorphic to $\mathbb{Q}_5^\times/\mathbb{Q}_5^{\times 5}\simeq C_5\times C... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 61, "mathjax_display_tex": 3, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://math.stackexchange.com/questions/109273/demonstration-of-a-divisibility-rule | # Demonstration of a divisibility rule
A friend of mine who's studying mathematics challenged me to demonstrate that:
For given integer numbers $n$ and $m$, we can say
$$\left(\prod_{i=n}^m i\right)/{(m-n)!} =Z,$$
where $Z$ is some integer. In other words, the product of $n(n+1)(n+2)...m$ can be divided by the 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": 10, "mathjax_display_tex": 2, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://www.code-words.com/ | CodeWords
Code, in words.
Wednesday, October 26, 2011
Transition to New Site
This blog is now being retired in favor of the notes on my new site, which has an explanation of the transition. This blog will remain but will no longer be updated.
Wednesday, October 5, 2011
Steve Jobs, Rest in Peace
Today a great ent... | {"extraction_info": {"found_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": 60, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathhelpforum.com/advanced-algebra/68528-proving-matrix-non-singular.html | # Thread:
1. ## Proving a matrix is non-singular
Hi again, came across this matrix question which has really got me stuck.
A = $\left(\begin{array}{cc}q&3\\-2&q-1\end{array}\right)$
1. Find det A, worked this out to be $q(q-1)+6$.
2. Show that A is non-singular for all values of q.
If it is non singular, 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": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 11, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathoverflow.net/questions/34980?sort=oldest | ## How can an approach to $P$ vs $NP$ based on descriptive complexity avoid being a natural proof in the sense of Raborov-Rudich?
### Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points)
EDIT: This question has been modified to make it a stand-alone question. Feel free... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 8, "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/68898-definite-integral-problem.html | # Thread:
1. ## Definite integral problem
Could someone show me the steps for a problem like this? I missed a class and you'd be saving my life.
$\displaystyle\int^{\pi}_0 \sec^2 \left(\frac{t}{3} \right) dt$
2. Originally Posted by Dana_Scully
Could someone show me the steps for a problem like this? I missed a cla... | {"extraction_info": {"found_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://gauravtiwari.org/tag/real-analysis/ | # MY DIGITAL NOTEBOOK
A Personal Blog On Mathematical Sciences and Technology
Home » Posts tagged 'Real Analysis'
# Tag Archives: Real Analysis
## Proofs of Irrationality
Tuesday, February 14th, 2012 19:18 / 3 Comments
“Irrational numbers are those real numbers which are not rational numbers!”
Def.1: Rational Nu... | {"extraction_info": {"found_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": 226, "mimetex.cgi": 0, "/images/m... |
http://math.stackexchange.com/questions/10741/quotient-geometries-known-in-popular-culture-such-as-flat-torus-asteroids-vi | # Quotient geometries known in popular culture, such as “flat torus = Asteroids video game”
In answering a question I mentioned the Asteroids video game as an example -- at one time, the canonical example -- of a locally flat geometry that is globally different from the Euclidean plane. It might be out of date in 2010... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 12, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://nrich.maths.org/6222/solution | ### 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?
### Always the Same
Arrange the numbers 1 to 16 into a 4 by 4 array. Choose a number. Cross out the numbers on 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": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathhelpforum.com/statistics/185255-probability-getting-least-one-correct-answer-2-out-5-correct-options-2-print.html | Probability of getting at least one correct answer, with 2 out of 5 correct options
Printable View
Show 40 post(s) from this thread on one page
• July 29th 2011, 01:39 AM
CaptainBlack
Re: Probability of getting at least one correct answer, with 2 out of 5 correct optio
Quote:
Originally Posted by jbwtucker
This 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": 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/39019/field-due-to-current-in-a-wire?answertab=votes | # Field due to current in a wire
Suppose a current flows in a straight cylindrical wire so that an electric field $\textbf{E}$ is maintained in the wire. Will there be an electric field just outside the wire..?
-
## 3 Answers
From your setup, it sounds like you have an E field directed along the wire that is drivin... | {"extraction_info": {"found_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/83255/recognition-of-graph-families/83260 | ## Recognition of graph families.
### Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points)
Let F be a family of finite simple graphs, such as planar graphs, Cayley graphs, 4-colorable graphs, etc. The basic question is whether there exists a polynomial-time algorithm 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": 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/3390/good-reference-on-sample-autocorrelation | Good reference on sample autocorrelation?
I'm not a statistician but I'm writing my thesis on mathematical finance and I think it would be neat to have a short section about independence of stock returns. I need to get better understanding about some assumptions (see below) and have a good book to cite.
I have a mode... | {"extraction_info": {"found_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": 5, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://physics.stackexchange.com/questions/4976/bose-einstein-condensate-in-1d/4984 | # Bose-Einstein condensate in 1D
I've read that for a Bose-Einstein gas in 1D there's no condensation. Why this happenes? How can I prove that?
-
## 4 Answers
The claim is often that there is no condensation in $d<3$. The other answers are correct, but let's be clear, there are actually two assumptions present 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": 19, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathhelpforum.com/differential-geometry/85439-multiple-choice.html | # Thread:
1. ## Multiple Choice
Let $\{a_n\}$ be a sequence of positive terms. Which of the following statements is a deduction from :
the sequence $\{a_n\}$ is not summable:
(A) $\forall M > 0 \exists N \in \mathbb{N}$ such that $a_N > M$.
(B) $a_n \not\rightarrow 0$
(C) $\forall n \in \mathbb{N} \frac{a_{n+1}}{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": 9, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://physics.stackexchange.com/questions/17076/is-the-spring-constant-k-changed-when-you-divide-a-spring-into-parts?answertab=votes | Is the spring constant k changed when you divide a spring into parts?
I've always been taught that the spring constant $k$ is a constant — that is, for a given spring, $k$ will always be the same, regardless of what you do to the spring.
My friend's physics professor gave a practice problem in which a spring of lengt... | {"extraction_info": {"found_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": 10, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/m... |
http://mathoverflow.net/questions/55725/interesting-examples-of-flasque-sheaves/55728 | ## Interesting examples of flasque sheaves?
### Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points)
Does anyone know any interesting examples of flasque sheaves? Ideally, I would like to see one that both arises naturally and is geometric in some sense. On the other 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": 18, "mathjax_display_tex": 2, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathhelpforum.com/advanced-algebra/53235-full-rank-matrix-problem.html | # Thread:
1. ## full-rank matrix problem
I'm having trouble understanding one part of the proof I'm studying.
The matrix $\left[ \begin{array}{ccc} a & b & c \\ d & e & f \end{array} \right]$ is full-rank.
Now we suppose that this
$\left[ \begin{array}{cc} a & b \\ d & e \end{array} \right]$
is the full-rank part.
... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 4, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://physics.stackexchange.com/tags/resistors/new | # Tag Info
## New answers tagged resistors
1
### Finding current using EMF & internal resistance
Hey you're getting wrong, the equivalent emf(voltage) of system will be 16V-8V because both have opposite poles facing each other, so their will be net flor of current (-ve to +ve) according to the cell of greater emf(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": 18, "mathjax_display_tex": 2, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://physics.stackexchange.com/questions/tagged/continuum-mechanics | # Tagged Questions
Continuum mechanics is a branch of mechanics that deals with the analysis of the kinematics and the mechanical behavior of materials modeled as a continuous mass rather than as discrete particles.
learn more… | top users | synonyms
1answer
76 views
### Why is this thought experiment flawed: A vas... | {"extraction_info": {"found_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": 5, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://wiki.math.toronto.edu/TorontoMathWiki/index.php/2009_2010_Dispersive_PDE_Seminar | # 2009 2010 Dispersive PDE Seminar
### From TorontoMathWiki
This page contains information about an informal seminar on Dispersive PDEs during 2009-2010. The seminar is organized by J. Colliander and Hiro Oh.
Of related interest in Toronto (and sometimes cross-listed):
2009_Fall_Dispersive_PDE_Seminar_Resources
##... | {"extraction_info": {"found_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": 16, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://physics.stackexchange.com/questions/37622/negatve-mass-inside-a-black-hole?answertab=votes | # Negatve mass inside a black hole
With Hawking radiation, one half of virtual pair falls into horizon and this particle has negative energy.
What would an observer inside horizon observe when seeing negative particles ? How do these negative particles interact with ordinary matter ?
-
## 2 Answers
The Schwarzschi... | {"extraction_info": {"found_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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://amathew.wordpress.com/bibliography/ | # Climbing Mount Bourbaki
Thoughts on mathematics
## Bibliography
Here is a (periodically updated) list of books and sources that I have referred to, or plan to in the future, sorted by field:
Algebra
• Representation Theory: A First Course, by William Fulton and Joseph Harris
• Algebra, by Serge Lang
• Commutativ... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 16, "mimetex.cgi": 0, "/images/ma... |
http://mathoverflow.net/questions/39593?sort=oldest | ## A question on the construction of finite W-algebras
### Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points)
In a well known construction of finite W-algebras, one first constructs a certain nilpotent subalgebra $\mathfrak{m}$ along with a character $\chi:\mathfrak{... | {"extraction_info": {"found_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://physics.stackexchange.com/questions/41903/parabolic-motion-and-air-drag | # Parabolic motion and air drag
Are this equations correct, in order to calculate the parabolic motion of an arrow with the computation of the drag with the air?
$$\begin{cases} x(t)=\left(v_0-\frac{1/2C_DA\rho v_0^2}{m}t\right)\cos(\theta)t\\ y(t)=\left(v_0-\frac{1/2C_DA\rho v_0^2}{m}t\right)\sin(\theta)t-\frac{1}{2... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 21, "mathjax_display_tex": 7, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://www.physicsforums.com/showthread.php?p=3802900 | Physics Forums
## Does conservation of energy for unsteady ideal fluid hold?
My text was able to show that for an ideal (incompressible and inviscid) and steady fluid in a gravitational field, the energy density $E=\frac{1}{2}\rho u^2 + \rho\chi+P$ is constant for any fluid element, where $\chi$ is the gravitational ... | {"extraction_info": {"found_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": 2, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://nrich.maths.org/104 | ### Pies
Grandma found her pie balanced on the scale with two weights and a quarter of a pie. So how heavy was each pie?
### Red Balloons, Blue Balloons
Katie and Will have some balloons. Will's balloon burst at exactly the same size as Katie's at the beginning of a puff. How many puffs had Will done before his ball... | {"extraction_info": {"found_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://mathoverflow.net/questions/98947/quermassintegrals-as-mean-curvature-integrals | ## Quermassintegrals as mean curvature integrals
### Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points)
It is well-known that the quermassintegrals $W_{i}$ of a convex body $K\subset \mathbb{R}^{n}$ can be written as a mean curvature integral $$W_{i}(K)=n^{-1}\int_{\... | {"extraction_info": {"found_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://physics.stackexchange.com/questions/3004/how-to-calculate-the-density-of-relic-neutrinos?answertab=active | # How to calculate the density of relic neutrinos?
May be not neutrinos, but antineutrinos? Or both types? In the last case, why they didn't annihilate and what is the ratio of relic neutrinos to relic antineutrinos? Is that ratio somehow related to the barion asymmetry?
For reference: Relic neutrinos or cosmic neutr... | {"extraction_info": {"found_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/54728/what-is-the-willmore-energy-of-the-earth-or-the-geoid?answertab=oldest | # What is the Willmore energy of the Earth (or the geoid)?
Wikipedia defines the Willmore energy as:
$$e[{\mathcal{M}}]=\frac{1}{2} \int_{\mathcal{M}} H^2\, \mathrm{d}A,$$
where $H$ stands for the mean curvature of the manifold $\mathcal{M}$.
What is the Willmore energy of the Earth, or the geoid?
-
## 1 Answer
... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 6, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://amathew.wordpress.com/2012/07/14/understanding-the-derived-infinity-category/ | # Climbing Mount Bourbaki
Thoughts on mathematics
July 14, 2012
## Understanding the derived infinity-category
Posted by Akhil Mathew under algebra, category theory | Tags: derived category, infinity-categories |
The next thing I’d like to do on this blog is to understand the derived ${\infty}$-category of an abel... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 103, "mimetex.cgi": 0, "/images/m... |
http://unapologetic.wordpress.com/2007/12/03/the-topological-field-of-real-numbers/?like=1&source=post_flair&_wpnonce=78d053c4d8 | # The Unapologetic Mathematician
## The Topological Field of Real Numbers
We’ve defined the topological space we call the real number line $\mathbb{R}$ as the completion of the rational numbers $\mathbb{Q}$ as a uniform space. But we want to be able to do things like arithmetic on it. That is, we want to put the stru... | {"extraction_info": {"found_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": 109, "mimetex.cgi": 0, "/images/m... |
http://mathhelpforum.com/advanced-algebra/197725-self-dual-matrix.html | Thread:
1. Self Dual matrix
Hi, I was wondering if anyone could help me solve this question from a past paper:
Let C be the code with parity check matrix:
$\begin{pmatrix}0 0 0 1 1 1 1 0 \\ 0 1 1 0 0 1 1 0 \\ 1 0 1 0 1 0 1 0 \\ 1 1 1 1 1 1 1 1 \\ \end{pmatrix}$
Prove that C is self dual. (You can assume that the du... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 1, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://math.stackexchange.com/questions/295337/gelfands-formula-rt-lim-n-to-infty-sqrtn-tn/295349 | # Gelfand's Formula. $r(T)=\lim_{n \to\infty}\sqrt[n]{\|T^{n}\|}$
Can you indicate me a material where I cand find the proof of Gelfand's Formula. I heard that there is a proof with polynomials.
Gelfand's Formula :
If $T \in B(X)$ then: $$r(T)=\lim_{n \to\infty}\sqrt[n]{\|T^{n}\|}$$
-
## 1 Answer
I do not 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": 2, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://unapologetic.wordpress.com/2010/12/03/dual-frobenius-reciprocity/?like=1&source=post_flair&_wpnonce=9a71b83933 | # The Unapologetic Mathematician
## Dual Frobenius Reciprocity
Our proof of Frobenius reciprocity shows that induction is a left-adjoint to restriction. In fact, we could use this to define induction in the first place; show that restriction functor must have a left adjoint and let that be induction. The downside 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": 7, "mimetex.cgi": 0, "/images/mat... |
http://blog.assafrinot.com/?p=318 | papers, preprints, slides and expository
# A topological reflection principle equivalent to Shelah’s strong hypothesis
Posted on September 30, 2011 by in categories: .
Abstract: We notice that Shelah’s Strong Hypothesis (SSH) is equivalent to the following reflection principle:
Suppose $\mathbb X$ is an (infinite) ... | {"extraction_info": {"found_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://math.stackexchange.com/questions/62048/determining-number-of-positive-integer-solutions-to-ax-by-cz-dw-z | # Determining number of positive integer solutions to Ax + By + Cz + Dw < Z ?
I would like a method to determine the number of positive integer solutions for an linear inequality, of the form:
$Ax + By + ... < Z$ given integer A,B, .. Z and integer $x,y,z,w \ge 0$
For example, there are 11 solutions to $3x + 5y < 15$... | {"extraction_info": {"found_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/222663/understanding-the-derivative-geometrically?answertab=votes | # Understanding the derivative geometrically
I always seen the derivative of a function $y=f(x)$,$\frac{dy}{dx}$ at $x_1$ as the slope of the line tangent to the curve $y=f(x)$ drawn at $y=f(x_1)$.But I often fail to appreciate this when $\frac{dy}{dx}=0$ at some point $x_1$ .
Can anyone please tell me the geometrica... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 25, "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/134335/the-digit-base-and-the-ntt-convolution?answertab=votes | # The digit base and the NTT convolution
Suppose I'm using a number theoretic transform (NTT) in an integer field $GF(p)$. I assume that $2n$-th root of unity exists for such a $p$, and I want to compute a convolution of two $n$-length numbers with digit base $BASE$, thereby obtaining the product of the numbers.
Howe... | {"extraction_info": {"found_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://mathhelpforum.com/geometry/175026-co-ordinate-geometry.html | Thread:
1. Co-ordinate geometry!
http://www.haeseandharris.com.au/sam...a11gt-5_02.pdf
Can you go to this link and go to chapter 2, page 89 question 7. I really really need help with this question, I know how to parts a and b, but i need help with c!!
THANKS!
xx
2. What did you get in b? The correct answer is $b$, ... | {"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": 2, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathoverflow.net/revisions/19261/list | ## Return to Question
2 added 134 characters in body
Every simple graph $G$ can be represented ("drawn") by numbers in the following way:
1. Assign to each vertex $v_i$ a number $n_i$ such that all $n_i$, $n_j$ are coprime whenever $i\neq j$. Let $V$ be the set of numbers thus assigned.
2. Assign to each maximal cl... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 50, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathhelpforum.com/discrete-math/28478-prove.html | # Thread:
1. ## prove
im lookin for some help on this prove...
Let U be a set and let A and B be subsets of U.
Prove (A\B) compliement = A compliment Union B
thanks
2. $\left( {A\backslash B} \right)^c = \left( {A \cap B^c } \right)^c$
You should be able to carry it forward and finish.
3. would anybody be able to... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 6, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathhelpforum.com/calculus/204403-nature-critical-points-function.html | 1Thanks
• 1 Post By johnsomeone
# Thread:
1. ## The nature of critical points of a function
Can anyone help with determining the nature of the critical points for the function:
f(x,y) = x^3 - x + y^2 - 2xy?
By using the first partial derivatives and setting them to zero, I determined the critical points to be f(1,... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 21, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://unapologetic.wordpress.com/2007/02/23/conjugacy-classes-in-symmetric-groups/?like=1&source=post_flair&_wpnonce=9a71b83933 | The Unapologetic Mathematician
Conjugacy classes in symmetric groups
Let’s work out how symmetric groups act on themselves by conjugation. As I’m writing I notice that what I said before about composition of permutations is sort of backwards. It’s one of those annoying conventions that doesn’t really change anything,... | {"extraction_info": {"found_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": 91, "mimetex.cgi": 0, "/images/ma... |
http://lukepalmer.wordpress.com/tag/algorithms/ | # Luke Palmer
Functional programming and mathematical philosophy with musical interludes
# DI Breakdown
By on January 15, 2013 | 6 Comments
I’m having a philosophical breakdown of the software engineering variety. I’m writing a register allocation library for my current project at work, referencing a not-too-comple... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 32, "mimetex.cgi": 0, "/images/ma... |
http://mathhelpforum.com/advanced-statistics/131799-question-about-mean-value-theorem-multiple-integrals.html | # Thread:
1. ## A question about Mean-Value Theorem for multiple integrals
In page 401 of Apostol's "Mathematical Analysis"(see figure below),
the underlined statement seems to use the Intermediate value theorem to assure the existence of ${\bf x}_0$. But the Intermediate value theorem is applicable only when m and ... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 2, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://physics.stackexchange.com/questions/4243/what-does-it-mean-to-say-gravity-is-the-weakest-of-the-forces | # What does it mean to say “Gravity is the weakest of the forces”?
I can understand that on small scales (within an atom/molecule), the other forces are much stronger, but on larger scales, it seems that gravity is a far stronger force; e.g. planets are held to the sun by gravity. So what does it mean to say that "gra... | {"extraction_info": {"found_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/8426/elliptic-integrals-with-parameter-outside-0m1/8427 | # Elliptic integrals with parameter outside 0<m<1
I'm attempting to implement an equation (for calculating magnetic forces between coils, eqs (22–24) in the linked paper) that requires the use of elliptic integrals.
Unfortunately these equations require the evaluation of the elliptic integrals far outside their stand... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 10, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathhelpforum.com/calculus/113058-finding-distance-between-two-points.html | # Thread:
1. ## Finding the distance between two points
Let Q = (0,5) and R = (10,6) be given points in the plane. We want to find the point P = (x,0) on the x axis such that the sum of distances PQ+PR is as small as possible.
To solve this problem, we need to minimize the following function of x: f(x) = ?
over the c... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 8, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathoverflow.net/questions/65837?sort=oldest | ## What are the models of Peano Arithmetic plus the negation of the corresponding Gödel sentence like?
### Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points)
Since the Godel sentence for PA (G henceforth) is independent of PA, if PA is consistent, so is PA plus not-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": 35, "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/240912/can-someone-check-if-my-proof-is-sufficient-enough | # Can someone check if my proof is sufficient enough?
I've just started my undergraduate mathematics degree, and I have to say, proving things isn't very intuitive. I used to be very good at proofs in high school, but only when it comes to algebraic and logical reasoning of the informal kind; now I just feel it's not ... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 67, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathhelpforum.com/algebra/2329-slope.html | # Thread:
1. ## Slope
Please let me know if this is correct:
Find the equation of the line which satisfies the point through the point (0,5) with slope =-2
y-y1 = m(x-1)=
y-5=-2(x-1)=
y=-2x+-7
2. Perhaps you meant it, but it should be: $y - y_1 = m\left( {x - x_1 } \right)$.
Now, with m = -2 and the point being (... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 2, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathhelpforum.com/calculus/71024-vector-geometry-work-done.html | # Thread:
1. ## Vector geometry: Work done
A constant force moves an object along a straight line from point (7, -4, 6) to point (-6, -2, 8). Find the work done if the distance is measured in meters and the magnitude of the force is measured in newtons.
2. Originally Posted by wvlilgurl
A constant force moves an obj... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 4, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://en.m.wikipedia.org/wiki/Heat | # Heat
For other uses, see Heat (disambiguation).
Nuclear fusion in the Sun converts nuclear potential energy into available internal energy and keeps the temperature of the Sun very high. Consequently, heat is transported to Earth as electromagnetic radiation. This is the main source of energy for life on Earth.
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": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 18, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://nrich.maths.org/7324/solution | The Olympic Torch Tour
Stage: 4 Challenge Level:
Niharika was the only one to send us a solution this time round:
The possible routes are:
1. London-Cambridge-Bath-Coventry-London
2. London-Cambridge-Coventry-Bath-London
3. London-Bath-Cambridge-Coventry-London
4. London-Bath-Coventry-Cambridge-London
5. London... | {"extraction_info": {"found_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/54153/does-this-class-of-cipher-have-a-name-what-weaknesses-does-it-have?answertab=oldest | # Does this class of cipher have a name? What weaknesses does it have?
Some Background
In October I have been asked by the school I teach at to organise and lead 'a hands-on cryptography session' for a bright group of 13 year olds to follow a talk on Enigma by an outside speaker.
The plan is to start with some affin... | {"extraction_info": {"found_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://www.physicsforums.com/showpost.php?p=3099038&postcount=6 | Thread: \$1/cosx dx help needed View Single Post
Quote by Riazy Mark44: We don't use sec x in sweden, so no i don't
LOL
╔(σ_σ)╝: Hmm i could need some more elaboration on that method, I really need to get to solve this, but i won't be able to get in touch with my professor at the moment, and I li... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://en.wikipedia.org/wiki/Bijective_proof | # Bijective proof
In combinatorics, bijective proof is a proof technique that finds a bijective function f : A → B between two finite sets A and B, or a size-preserving bijective function between two combinatorial classes, thus proving that they have the same number of elements, |A| = |B|. One place the technique is u... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 6, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathhelpforum.com/algebra/135799-min-max-value-unusual-way-phrase-print.html | # Min/max value, is this an unusual way to phrase it?
Printable View
• March 26th 2010, 08:40 AM
anywhere
Min/max value, is this an unusual way to phrase it?
In my math 132 (college algebra and trigonometry) class when answering questions where we're supposed to identify the minimum/maximum, we're asked to identify 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://nrich.maths.org/398/clue | nrich enriching mathematicsSkip over navigation
### Shades of Fermat's Last Theorem
The familiar Pythagorean 3-4-5 triple gives one solution to (x-1)^n + x^n = (x+1)^n so what about other solutions for x an integer and n= 2, 3, 4 or 5?
### Exhaustion
Find the positive integer solutions of the equation (1+1/a)(1+1/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": 7, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://ams.org/bookstore?fn=20&arg1=survseries&ikey=SURV-113-S | 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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://stats.stackexchange.com/questions/8347/is-bayesian-statistics-genuinely-an-improvement-over-traditional-frequentist-s | # Is Bayesian statistics genuinely an improvement over traditional (frequentist) statistics for behavioral research?
While attending conferences, there has been a bit of a push by advocates of Bayesian statistics for assessing the results of experiments. It is vaunted as both more sensitive, appropriate, and selective... | {"extraction_info": {"found_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://math.stackexchange.com/questions/74272/solving-this-algebra-question | # solving this algebra question
If $(7+4\sqrt 3)^{x^2-8}+(7-4\sqrt 3)^{x^2-8}=14,\quad x=?$
How do I solve this algebra question?
-
## 3 Answers
Let $a=(7+4\sqrt{3})^{x^2-8}$ then $\dfrac{1}{a}=(7-4\sqrt{3})^{x^2-8}$
So the given equation will be $a+\dfrac{1}{a}=14\implies a^2-14a+1=0$
Solving quadratic for $a=7... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 10, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathoverflow.net/questions/123567?sort=newest | ## for what arguments the function reaches maximum?
### Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points)
Hi,
What is the maximum of the following function?:
$f(x_i,w_i)=\frac { \sum w_i}{ \sum \frac {w_i}{x_i} } - \frac{ 1 - \prod \left ( 1 - w_{i}\right )}{ 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": 44, "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=3960768 | Physics Forums
Page 187 of 205 « First < 87 137 177 184 185 186 187 188 189 190 197 > Last »
## The Should I Become a Mathematician? Thread
I'm sure you've heard this before, but my grades suffer from "dumb mistakes." I don't know how to stop making them, and I don't know if they are something 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": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathoverflow.net/questions/56304/looking-for-interesting-actions-that-are-not-representations/56305 | ## Looking for interesting actions that are not representations
### Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points)
As a person interested in group theory and all things related, I'd like to deepen my knowledge of group actions.
The typical (and indeed the most p... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 65, "mathjax_display_tex": 0, "mathjax_asciimath": 2, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://www.physicsforums.com/showthread.php?s=849006b8d6178ebb8e112a46d6f2da69&p=4280127 | Physics Forums
## Laplace’s equation inside a semi-infinite strip
Hello everyone,
can anyone help me with solving Laplace’s equation inside a semi-infinite strip.
Is there specific steps to follow. I'm gonna give an example and I will be really grateful
if someone explains to me.
Solve Laplace’s equation ∇2u = 0 ins... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 23, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://www.physicsforums.com/showthread.php?t=233286 | Physics Forums
Thread Closed
Page 1 of 2 1 2 >
## Another ant riddle
Let me come back with a totally different ant riddle
I hope this one has not been posted already. As far as I know, it should be attributed originally to Martin Gardner.
This time, let us put a (point-like) ant on the edge (mathematically id... | {"extraction_info": {"found_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": 18, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathoverflow.net/questions/31464/can-i-derive-the-boltzmann-distribution-by-an-invariance-argument/31469 | ## Can I derive the Boltzmann distribution by an invariance argument?
### Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points)
In statistical mechanics, the Boltzmann distribution gives the probability of a system being in state $i$ as
$$\displaystyle \frac{e^{- \beta... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 57, "mathjax_display_tex": 19, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/m... |
http://mathoverflow.net/questions/44397/what-is-a-good-example-of-a-complete-but-not-model-complete-theory-and-why | ## What is a good example of a complete but not model-complete theory, and why?
### Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points)
The standard examples of complete but not model-complete theories seem to be:
- Dense linear orders with endpoints.
- The full theor... | {"extraction_info": {"found_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": 2, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://unapologetic.wordpress.com/2010/06/11/using-the-dominated-convergence-theorem/?like=1&source=post_flair&_wpnonce=c1c9c39881 | # The Unapologetic Mathematician
## Using the Dominated Convergence Theorem
Now that we’ve established Lebesgue’s dominated convergence theorem, we can put it to good use.
If $f$ is a measurable function and $g$ is an integrable function so that $\lvert f\rvert\leq g$ a.e., then $f$ is integrable. Indeed, we can 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": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 41, "mimetex.cgi": 0, "/images/ma... |
http://math.stackexchange.com/questions/251665/how-can-i-introduce-complex-numbers-to-precalculus-students/251860 | # How can I introduce complex numbers to precalculus students?
I teach a precalculus course almost every semester, and over these semesters I've found various things that work quite well. For example, when talking about polynomials and rational functions, in particular "zeroes" and "vertical asymptotes", I introduce 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": 69, "mathjax_display_tex": 10, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/m... |
http://physics.stackexchange.com/questions/tagged/measurement+electron | # Tagged Questions
2answers
84 views
### Electron mass changes with website
When particles mass can be changed by changing the website, then how to calculate with confidence? For example: Google: electron mass = 9.10938 188 × 10$^-31$ kilograms Wikipedia: electron mass ...
1answer
293 views
### Measuring the magnit... | {"extraction_info": {"found_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/142154/is-there-a-language-agnostic-way-to-formularize-if-conditions | # Is there a language-agnostic way to formularize “if”-conditions?
How can you formularize "if"-conditions in a language-agnostic way?
$$x=\begin{cases} 2,&\text{ if } n \le 2 \lor m=3\\ 3,&\text{ if } n \gt 2 \land m=n \end{cases}$$ Of course, everybody in the world will understand the "if", but is there a way to wr... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 17, "mathjax_display_tex": 4, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathoverflow.net/questions/43627?sort=votes | ## Can subgradient infer convexity?
### Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points)
It is known that If $f:U→ R$ is a real-valued convex function defined on a convex open set in the Euclidean space $R^n$, a vector v in that space is called a subgradient at a p... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 20, "mathjax_display_tex": 4, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathoverflow.net/questions/67989/optimizing-directly-on-the-eigenspectrum-of-a-matrix/68007 | ## Optimizing directly on the eigenspectrum of a matrix
### Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points)
I have an application where I want to the eigenvalues of the graph to be involved in the objective and constraints in a flexible way (moreso than just the 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": 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/239557/one-simple-question-in-ring-theory | # one simple question in ring theory
Suppose $R$ is a ring (possibly noncommutative), $I$ is a minimal left ideal in it, and $I^2\neq 0$, show that $I=Re$ for some idemopotent $e$.
It is easy to show that we can find some $x\in I$, such that $I=Ix$, so $I=Rx=Rx^n=Ix^n$, for all $n\geq 1$, but how to construct the ide... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 23, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://mathoverflow.net/questions/121549?sort=votes | ## Complexity of winning strategies for open games (for open player)
### Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points)
If $G\subseteq\omega^{<\omega}$ is a computable clopen game, then $G$ has a winning strategy which is hyperarithmetic $(\Delta^1_1)$, by an ind... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 43, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://crypto.stackexchange.com/questions/3977/hash-collision-resistance-requirements-for-lamport-signatures?answertab=votes | # Hash collision resistance requirements for Lamport signatures
According to the original paper, Lamport one-time signature scheme uses two one-way functions: $F$ and $G$. The former one, $F$, is used to create a public key by hashing elements of the private key (and also for hashing signature elements when verifying ... | {"extraction_info": {"found_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://climateaudit.org/2006/05/31/more-on-mbh98-figure-7/?like=1&source=post_flair&_wpnonce=c327cf8c6a | by Steve McIntyre
More on MBH98 Figure 7
There’s an interesting knock-on effect from the collapse of MBH98 Figure 7 (see here and here).
We’ve spent a lot of time arguing about RE statistics versus r2 statistics. Now think about this dispute in the context of Figure 7. Mann "verifies" his reconstruction by claiming ... | {"extraction_info": {"found_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": 3, "mimetex.cgi": 0, "/images/mat... |
http://unapologetic.wordpress.com/2011/07/26/cartans-formula/?like=1&source=post_flair&_wpnonce=f9365a8c97 | # The Unapologetic Mathematician
## Cartan’s Formula
It turns out that there is a fantastic relationship between the interior product, the exterior derivative, and the Lie derivative.
It starts with the observation that for a function $f$ and a vector field $X$, the Lie derivative is $L_Xf=Xf$ and the exterior deriv... | {"extraction_info": {"found_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": 23, "mimetex.cgi": 0, "/images/ma... |
http://mathoverflow.net/questions/4700/whats-the-right-object-to-categorify-a-braided-tensor-category/4744 | ## What’s the right object to categorify a braided tensor category?
### Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points)
The yoga of categorification has gained a lot of popularity in recent years, and some techniques for it have made a lot of progress. It's well-u... | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.