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http://mathhelpforum.com/advanced-algebra/92352-conflicting-defintions-explanations.html
# Thread: 1. ## Conflicting defintions/explanations My professor states in one instance that if $A$ is invertible, then $B=A^{-1}$ when $AB=BA=I$, leading to $AA^{-1}=A^{-1}A=I$. Yet later on in class, during a proof involving the multiplicity of invertible matrices, he makes the claim that $B=A^{-1}$ implies that $B...
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http://mathoverflow.net/revisions/90129/list
2 edited title 1 # Notions of orthogonality in normed spaces which are not inner product spaces I have come across a notion of orthogonality of two vectors in a normed space not necessarily inner product space. Two vectors $x$ and $y$ in a normed space are said to be orthogonal (represented $x\perp y$) if $||x||\leq...
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http://math.stackexchange.com/questions/141407/global-minimal-model-of-elliptic-curve-over-mathbbq
# Global minimal model of elliptic curve over $\mathbb{Q}$ I am basically trying to solve the cannonball problem using elliptic curves. In other words I have to show that the only integer points on the "elliptic curve" $6y^2 = 2x^3 + 3x^2 + x$ are $(0,0), (1,\pm 1), (24,\pm 70)$. Now my plan is to find the torsion g...
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http://math.stackexchange.com/questions/206346/big-o-with-log-base-equivalences-and-a-question-about-sum-of-series
# Big O with Log base equivalences and a question about sum of series. Hi I need help figuring these out: True or False: $\log_2 n$ is $O(\log_3 n)$ I used the definition of Big O in Dasgupta's book: ${f(n)}\over g{(n)}$ $\leq c$ So I used the base transformation rule to get: ${(\log_2 3)(\log_3 n)}\over \log_3 n$ ...
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http://physics.stackexchange.com/questions/tagged/renormalization+ising-model
# Tagged Questions 1answer 105 views ### Renormalization Group and Ising with d=1 and D=1 I have a question about the results of RG on Ising model. I know it's possible to obtain two couple of relations $K'(K)$, $q(K')$ $K(K')$, $q(K)$ between the coupling costants. My problem arise ... 1answer 77 views ### Freedom...
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http://crypto.stackexchange.com/tags/discrete-logarithm/new
Tag Info New answers tagged discrete-logarithm 2 Trying to better understand the failure of the Index Calculus for ECDLP You're essentially correct. Index calculus is impractical on elliptic curves because there is not a straightforward notion of smoothness in these groups. In prime fields, there is the easy mappin...
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http://mathoverflow.net/questions/109528/character-degree-in-gap
## character degree in Gap ### Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points) Let S be a finite set of integers, do I can check with Gap that this set be a set of character degrees of small group? - 1 No one has mentioned yet: the order of the group must be a m...
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http://mathoverflow.net/questions/32088?sort=newest
## Motivation One of the methods for strictly extending a theory $T$ (which is axiomatizable and consistent, and includes enough arithmetic) is adding the sentence expressing the consistency of $T$ ( $Con(T)$ ) to $T$. But this extension ( $T+Con(T)$ ) looks very artificial from the mathematical viewpoint, i.e. does n...
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http://math.stackexchange.com/questions/210826/probability-of-tossing-a-coin
Probability of tossing a coin This question comes from an exercise in book: If I'm tossing coins. I tossed 2 heads in a row using a coin. What’s the probability now that the next coin will be heads? Here's what I thought: Tossing a coin three times are independent events. So, Probability of getting a head will be 1/...
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http://mathoverflow.net/questions/59422/cyclotomic-polynomials/59426
## Cyclotomic Polynomials ### Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points) Let $\phi_{n}(x)$ be the $n$-th cyclotomic polynomial. What are the restrictions to $n$ (if any) to have $\phi_{n}(x)$ divides $\phi_{2n}(x)$ (where division is in $\mathbb{Z}[x]$)?Or is...
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http://mathhelpforum.com/statistics/213194-arrangements-word-mathematics-restriction.html
2Thanks • 1 Post By Plato • 1 Post By Plato # Thread: 1. ## Arrangements of the word MATHEMATICS with restriction. Hello all, I am trying to count the number of arrangements of the word MATHEMATICS where each consonant in adjacent in a vowel. (7 consonants, 4 vowels) Consider the following diagram: $\left(\;\;\;\;...
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http://math.stackexchange.com/questions/53676/blowing-up-a-subvariety-what-can-happen-to-the-singular-locus
# Blowing up a subvariety - what can happen to the singular locus? I know that blow ups can be used for the resolution of singular points on a variety $X$. What I need to know is - if I blow-up along some arbitrary subvariety of $X$, what are the possible outcomes for the dimension of the singular locus of the variet...
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http://www.physicsforums.com/showthread.php?p=4236974
Physics Forums Page 1 of 2 1 2 > ## Solving heat equation for heat-pulse in a point on the surface Hi everybody, I'm trying to find a solution for the 3D heat equation for pulsed surface heating of a semi-infinte solid with insulated surface. I know the method of reflection is required, and that a point source ...
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http://unapologetic.wordpress.com/2011/05/25/identifying-vector-fields/?like=1&_wpnonce=9d779cb1c0
# The Unapologetic Mathematician ## Identifying Vector Fields We know what vector fields are on a region $U\subseteq M$, but to identify them in the wild we need to verify that a given function sending each $p\in U$ to a vector in $\mathcal{T}_pM$ is smooth. This might not always be so easy to check directly, so we n...
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http://physics.stackexchange.com/questions/tagged/magnetohydrodynamics
# Tagged Questions The magnetohydrodynamics tag has no wiki summary. 1answer 61 views ### A rod filled with water and charged particles is rotated in magnetic field Assume we have a rod of diameter $d$ and length $l$. It is filled with a mixture of water and, say, sodium chloride. Thus there are positively charged ...
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http://medlibrary.org/medwiki/Yang-Baxter_equation
# Yang-Baxter equation 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 ...
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http://mathoverflow.net/questions/21599/transitivity-of-the-stone-cech-compactification/21605
“Transitivity” of the Stone-Cech compactification Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points) Let $\beta \mathbb{N}$ be the Stone-Cech compactification of the natural numbers $\mathbb{N}$, and let $x, y \in \beta \mathbb{N} \backslash \mathbb{N}$ be two non-pr...
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http://unapologetic.wordpress.com/2007/02/28/rubiks-group-notation/?like=1&source=post_flair&_wpnonce=78d053c4d8
# The Unapologetic Mathematician ## Rubik’s Group notation Today I want to introduce some notation for discussing the cube. Take a cube — either a real one, the Java version, or just one in your mind’s eye — and hold it with the center cubies fixed in place pointing up, down, left, right, front, and back. Twists of ...
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http://en.wikipedia.org/wiki/Manifold_learning
# Nonlinear dimensionality reduction (Redirected from Manifold learning) High-dimensional data, meaning data that requires more than two or three dimensions to represent, can be difficult to interpret. One approach to simplification is to assume that the data of interest lie on an embedded non-linear manifold within ...
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http://mathoverflow.net/questions/29104/why-are-proofs-so-valuable-although-we-do-not-know-that-our-axiom-system-is-cons/29110
## Why are proofs so valuable, although we do not know that our axiom system is consistent? [closed] ### Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points) As a person who has been spending significant time to learn mathematics, I have to admit that I sometimes find ...
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http://mathhelpforum.com/advanced-algebra/58536-cyclic-group.html
Thread: 1. Cyclic group Prove that all subgroup of a cyclic group is cyclic. Thanks! 2. Let $(G,.)$ be a cyclic group, $H$ a subgroup of $G$, and $\alpha \in G$ such that $<\alpha >=G$. Let $\phi : \mathbb{Z} \rightarrow G : n \mapsto \alpha^{n}$ be the only morphism of groups such that $\phi(1)=\alpha$. Then $\ph...
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http://mathhelpforum.com/advanced-statistics/204102-converge-probability-sample-variance-print.html
# Converge in probability of sample variance Printable View • September 25th 2012, 10:41 PM usagi_killer Converge in probability of sample variance If we let $X_1, X_2, \cdots, X_n$ be independent and identically distributed observations from a population with mean $\mu$ and variance $\sigma^2$ then the weak law of l...
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http://physics.stackexchange.com/questions/30638/gauge-symmetry-description-for-phi4
# Gauge symmetry description for $\phi^4$? That is a follow-up to this question: Gauge symmetry is not a symmetry? Ok, gauge symmetry is not a symmetry, but ... ... a redundancy in our description, by introducing fake degrees of freedom to facilitate calculations. I want some simple and practical example for this. ...
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http://mathhelpforum.com/advanced-algebra/169052-roots-unity.html
# Thread: 1. ## Roots of Unity Hello, I have a basic (I think) question about Roots of Unity. First I feel like I should mention that I have only the most basic understanding of complex numbers. Here is what I have been asked to prove: An $n$th root of unity is a complex number $z$ such that $z^{n}=1$. Prove that th...
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http://physics.stackexchange.com/questions/26856/examples-of-number-theory-showing-up-in-physics/26862
# Examples of number theory showing up in physics My question is very simple: Are there any interesting examples of number theory showing up unexpectedly in physics? This probably sounds like rather strange question, or rather like one of the trivial to ask but often unhelpful questions like "give some examples of to...
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http://math.stackexchange.com/questions/43562/universal-digraph?answertab=active
# Universal digraph The Rado graph is universal since it contains an isomorphic copy of every countable graph (infinitely often). The Rado graph can be explicitely constructed and an isomorphic copy of any countable graph can be effectively computed. Is there also a universal directed graph, especially one with an ex...
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http://mathoverflow.net/revisions/94094/list
## Return to Answer 2 added 2 characters in body Well, $B$ is the Hadamard product of $A$ with itself, so if $A$ is nonnegative or psd, its radius is bounded from above by the square of the radius of $A$. For real matrices, at least. Well, $B$ is the Hadamard product of $A$ with itself, so its radius is bounded from...
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http://mathhelpforum.com/calculus/182714-need-help-finding-critical-points-inflection-points-graphing-print.html
# Need Help finding critical points and Inflection points. (graphing) Printable View Show 40 post(s) from this thread on one page • June 9th 2011, 11:06 AM mattyc33 Need Help finding critical points and Inflection points. (graphing) The question asks for the critical points and inflection points of: (x^2-1)/(x^3+1) ...
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http://mathhelpforum.com/trigonometry/142582-finding-composite-inverse-function.html
# Thread: 1. ## Finding a composite inverse function. Hey guys! I need to find: $tan(cot^{-1}(\frac{-1}{\sqrt{3}}))$ Here's how I'm going about finding the answer: I read this as, "Tangent of the angle whose cotangent is negative 1 over the square root of 3." As I understand it, I need to draw the triangle for th...
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http://mathhelpforum.com/algebra/107347-wheel-question.html
# Thread: 1. ## Wheel Question Hi, Please help me solve this question. I have no idea where to begin, other than knowing that A must be larger than one, because the question asks, 'what is the probability that the fraction $\frac{a}{b}$ is greater than 1. The question is attached as an image below. Attached Thumbnai...
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http://nrich.maths.org/2382/note
nrich enriching mathematicsSkip over navigation Pebbles Place four pebbles on the sand in the form of a square. Keep adding as few pebbles as necessary to double the area. How many extra pebbles are added each time? Adding All Nine Make a set of numbers that use all the digits from 1 to 9, once and once only. Add t...
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http://quant.stackexchange.com/tags/expected-return/hot
# Tag Info ## Hot answers tagged expected-return 10 ### What methods do you use to improve expected return estimates when constructing a portfolio in a mean-variance framework? Short of having a 'reasonable' predictive model for expected returns and the covariance matrix, there are a couple lines of attack. Shrinka...
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http://mathhelpforum.com/calculus/212516-using-integral-parts.html
# Thread: 1. ## Using integral by parts Hello everyone it's me again... For this question I have to use integral by parts to find the integral of (t+5)/(sqrt 8-t) I have: u= t+5 v' = (8-t)^-1/2 u'= 1 v= 2(8-t)^1/2 then I plugged in the numbers (t+5)(2(8-t))^1/2 = integral (8-t)^1/2 I don't really know what to d...
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http://crypto.stackexchange.com/questions/2627/algorithm-design-for-only-mutual-information-sharing/2630
# Algorithm Design for only Mutual Information Sharing Bob and Alice each have a bit string they want to keep private. They each want to know what the bitwise AND of their two strings would be without telling the other or anyone else listening to their exchange their actual bit strings... how can they do this? Keep in...
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http://physics.stackexchange.com/questions/36440/what-causes-an-electric-shock-current-or-voltage
# What causes an electric shock - Current or Voltage? Though voltage and current are two interdependent physical quantity, I would like to know what gives more "shock" to a person - Voltage or Current? In simple words, will it cause more "electric - shock" when the voltage is high or Current is more? - 1 – Qmechanic...
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http://mathhelpforum.com/algebra/102311-confused-about-how-solve-simple-problem.html
Thread: 1. Confused about how to solve simple problem...? The distance between two cities is 10km more than one third of the distance between them? I understand the answer is 15 km - but how do i put the answer in an algebraic equation? 2. Originally Posted by EyesThatSparkle02 The distance between two cities is 10...
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http://rjlipton.wordpress.com/2010/11/19/is-complexity-theory-on-the-brink/
## a personal view of the theory of computation by A discussion of some of the great recent results of theory Victor Klee was one of the greatest geometry experts ever, and is known for many wonderful results and problems. For example, he was the first to raise the question now called the “art gallery problem,” and ...
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http://math.stackexchange.com/questions/84058/what-are-the-additional-symbols-used-in-numeral-systems-with-more-than-10-base-d
# What are the additional symbols used in numeral systems with more than 10 base digits? What would the last digit be in a base 11 system? Base 12? I'm mostly wondering because I was thinking of a base 36 system with digits 0-9 immediately followed by the letters A-Z but I wasn't sure if that would be considered a pr...
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http://mathoverflow.net/revisions/32911/list
## Return to Question 2 improved formatting An important invariant of a knot in $S^3$ is its Alexander polynomial, related also to Reidemeister torsion. Is there something like that for knotted surfaces in $S^4$? If not, what are the difficulties? 1 # Alexander polynomial or Reidemeister torsion for knotted surface...
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http://math.stackexchange.com/questions/218741/how-to-prove-that-estimator-is-plug-in-estimator?answertab=oldest
# How to prove that estimator is plug-in estimator? I need to prove that: a) sample median is a plug-in estimator b) sample quantile is a plug-in estimator, but I have no idea where to start; In a) : $$M = \begin{cases} X_{\left(\frac{n+1}{2}:n\right)} & \text{if } n \text{ is odd} \\[6pt] \frac{X_{\left(\frac{n}...
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http://mathoverflow.net/questions/57749/laplace-derham-operator-for-1-forms-on-the-sphere/57753
## Laplace-deRham operator for 1-forms on the sphere ### Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points) What do the eigenforms of the 1-form Laplace-de Rham operator look like on the 2-sphere, seen as vector fields via the inner product? For the standard Laplace...
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http://www.math.uah.edu/stat/applets/SecretaryGame.html
### The Secretary Game | | | | | | | | | | | | | | | | | | | | | | | | | | |--------|--------|--------|--------|--------|-------...
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http://math.stackexchange.com/questions/43525/solving-sec-3-beta-10-csc-beta-8
# solving $\sec (3 \beta + 10) = \csc (\beta + 8)$ $\sec (3 \beta + 10) = \csc (\beta + 8)$ (in degrees) I am supposed to find one solution, and the angles are acute. I do not know the answer or how to get the answer. It is confusing for me because I don't know what to do with the $3 \beta$. I am guessing that may...
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http://mathoverflow.net/questions/99728/supremum-of-continuous-functions-on-mathbbr
## Supremum of continuous functions on $\mathbb{R}$ [closed] ### Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points) If $f(x)$ is a continuous function on all of $\mathbb R$, with the property that $\sup_{x\in\mathbb R}|f(x)|\leq 1$. If this is the case, how I can tes...
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http://mathoverflow.net/questions/29005?sort=oldest
## Characterisation of parabolic subalgebras: reference sought ### Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points) Let $\mathfrak{g}$ be a complex semisimple Lie algebra and $\mathfrak{p}$ a subalgebra. As we all know, $\mathfrak{p}$ is parabolic if it contains a ...
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http://crypto.stackexchange.com/questions/2136/is-it-generally-possible-to-employ-brute-force-methods-when-the-encryption-schem
# Is it generally possible to employ brute force methods when the encryption scheme is not known? Why or why not? Lets say you are presented with an encrypted string of bits or text, and no other information. What would be necessary before you could apply brute force methods to decrypting the string? How would a crypt...
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http://mathoverflow.net/questions/62635/are-there-any-mathematical-objects-that-exist-but-have-no-concrete-examples/62684
## Are there any mathematical objects that exist but have no concrete examples? [closed] ### Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points) I am curious as to whether there exists a mathematical object in any field that can be proven to exist but has no concrete ...
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http://physics.stackexchange.com/questions/tagged/nuclear-physics+quantum-mechanics
# Tagged Questions 0answers 31 views ### where do courses offered for quantum mechanics(for m.tech) in India [closed] where do courses offered in M.tech for quantum mechanics in india ,tell me whether these courses offered in any of the IITs in india I am studying Electrical & Elctronics Engg. at present,I would ......
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http://lukepalmer.wordpress.com/tag/relativism/
# Luke Palmer Functional programming and mathematical philosophy with musical interludes # Beliefs and Truth By on March 3, 2012 | 9 Comments I have now met the fourth person who has said that they don’t have beliefs. Perhaps I am still stuck in a naive conception of truth that they have transcended. I still uncon...
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http://math.stackexchange.com/questions/49023/compare-which-two-cube-is-the-same
# compare which two cube is the same I am solving following problem: The problem states that on figure 1 there is shown a cube with three facets on which there is drawn three section(length). This cube was put on other facet and turned such that there is also shown these three length on one cube from list of cubes wh...
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http://theoreticalatlas.wordpress.com/2009/06/08/my-talk-at-categories-quanta-concepts/
# Theoretical Atlas He had bought a large map representing the sea, / Without the least vestige of land: / And the crew were much pleased when they found it to be / A map they could all understand. June 8, 2009 ## My Talk at “Categories, Quanta, Concepts” Posted by Jeffrey Morton under category theory, conferences,...
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http://math.stackexchange.com/questions/181984/complete-course-of-self-study/182068
# Complete course of self-study I am about 16 years old and I have just started studying some college mathematics. I may never manage to get into a proper or good university (I do not trust fate) but I want to really study mathematics. I request people to tell me what topics an undergraduate may/must study and the bo...
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http://tamino.wordpress.com/2011/07/06/aligning-station-records/
Science, Politics, Life, the Universe, and Everything # Aligning Station Records Posted on July 6, 2011 As some of you know, I devised a method for aligning temperature data records which I believe is better than the “reference station method” used by NASA GISS. However, the difference is small and it doesn’t change...
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http://crypto.stackexchange.com/questions/tagged/pairings+elliptic-curves
# Tagged Questions 1answer 54 views ### How are Elliptic Curve Cryptography and Pairing Based Cryptography related? I have been doing a project that uses the PBC library developed by Ben Lynn. But I am still not clear on how PBC is related to ECC. I know that this is a site for complex crypto QA, but I did not know ...
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http://mathhelpforum.com/calculus/62838-functional-equations.html
# Thread: 1. ## functional equations (i)If $f(x)$ is a polynomial function $f<img src=$0,\infty)\rightarrow(0,\infty)" alt="f0,\infty)\rightarrow(0,\infty)" />satisfies the equation $f(f(x))=6x-f(x)$then find $f(17)$ (ii)If $f(x)$ is a polynomial function satisfying the condition such that $f(x^2+1)=(f(x))^2+1$ and ...
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http://stats.stackexchange.com/tags/mcmc/hot?filter=all
# Tag Info ## Hot answers tagged mcmc 10 ### How to sample from $\{1, 2, …, K\}$ for $n$ random variables, each with different mass functions, in R? We can do this in a couple of simple ways. The first is easy to code, easy to understand and reasonably fast. The second is a little trickier, but much more efficient ...
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http://mathhelpforum.com/calculus/191017-integration-step-pde-laplace-transform-method.html
# Thread: 1. ## An integration step in PDE by Laplace transform method I am stuck with an integration step in solving a PDE by Laplace transform. The integration is $\int e^{\frac{s x^2}{2}} \frac{x}{s} dx = \frac{1}{s^2} e^{\frac{s x^2}{2}}$. How is the integral obtained? I want to use integration by parts but I do...
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http://unapologetic.wordpress.com/2007/11/20/nets-part-ii/?like=1&source=post_flair&_wpnonce=671450efa2
# The Unapologetic Mathematician ## Nets, Part II Okay, let’s pick up our characterization of topologies with nets by, well, actually using them to characterize a topology. First we’re going to need yet another way of looking at the points in the closure of a set. Here goes: a point $x$ is in $\mathrm{Cl}(A)$ if and...
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http://scienceblogs.com/principles/2013/03/12/science-kids-fictitious-forces-and-frictionless-surfaces/
## National Geographic SocietyIn partnership with P.O. Box 98199 Washington, DC 20090-8199 800-647-5463 Lat/Lon: 38.90531943278526, -77.0376992225647 # Science Kids, Fictitious Forces, and Frictionless Surfaces Posted by on March 12, 2013 Sid the Science Kid screenshot, originally from http://www.confessionsofapsyc...
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http://mathhelpforum.com/calculus/74054-least-greatest-upper-bound-set.html
# Thread: 1. ## Least and greatest upper bound of a set please help, i dont know how to post on latex, for example the attachment is on the link below but I dont know how to post on this message Attached Files • exx2.pdf (18.8 KB, 16 views) 2. Just surround your $\text\LaTeX$ code with [tex] and [/tex]. The board se...
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http://mathoverflow.net/questions/70889/determinant-of-exterior-power
determinant of exterior power Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points) Suppose A is a n times n matrix. what is the determinant of the i-th exterior power of A, in terms of determinant of A ? thanks.. - 1 Answer The answer is just $\det(\Lambda^i(A))=\...
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http://math.stackexchange.com/questions/279929/wedge-product-vocabulary
# Wedge Product Vocabulary I am looking for a word or phrase that is similar in meaning to the "support of a function", but in the context of differential forms. The "support of a function" is the subset of the domain of a function where the function is non-zero. In my case, consider the bilinear functional $(dx \we...
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http://mathoverflow.net/questions/42389/applications-of-stacks/42390
## Applications of Stacks ### Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points) I've been aware of stacks since grad school, and I can usually follow in rough lines a discussion about stacks, but I've often wondered what particular (purely!) scheme-theoretic argumen...
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http://mathoverflow.net/questions/1887?sort=votes
## Given a Spanning Tree and an Edge Not on the Spanning Tree, How to Form a Cycle Base? ### Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points) I have a graph with Edge `E` and Vertex `V`, I can find the spanning tree using Kruskal algorithm, now I want to find all t...
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http://johncarlosbaez.wordpress.com/2010/12/24/this-weeks-finds-week-308/
Azimuth This Week’s Finds (Week 308) Last week we met the El Niño-Southern Oscillation, or ENSO. I like to explain things as I learn about them. So, often I look back and find my explanations naive. But this time it took less than a week! What did it was reading this: • J. D. Neelin, D. S. Battisti, A. C. Hirst et ...
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http://mathematica.stackexchange.com/questions/tagged/list-manipulation?sort=active&pagesize=50
# Tagged Questions Questions on the manipulation of List objects in Mathematica, and the functions used for these manipulations. 1answer 27 views ### Generating a list of all factorizations What is the best way to generate a list of all factorizations of some number $n$? I'm quite new to Mathematica so this might b...
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http://mathoverflow.net/revisions/71522/list
## Return to Answer 3 added 20 characters in body Well, the thing that may or may not be a "real functor" (and which may even fail to exist if the limit(/colimit) does not always exist) is in any case a "profunctor" (that is, a functor into $Set^{C^{op}}$ (or $Set^C$ for colimits) rather than into $C$). The limit of ...
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http://mathoverflow.net/questions/15755?sort=newest
## Weak partitioning vs. strong partitioning ### Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points) Let $U$ is a complete lattice with least element 0. Weak partitioning is a collection $S$ of nonempty subsets of $U$ such that $\forall x\in S: x\cap\bigcup(S\setminu...
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http://physics.stackexchange.com/questions/tagged/uncertainty-principle+commutator
# Tagged Questions 4answers 286 views ### Does uncertainty imply noncommutativity? We already know that non-commutativity of observables leads to uncertainty in quantum mechanics cf. e.g. this and this Phys.SE post. What about the opposite: Does uncertainty imply noncommutativity? ... 3answers 1k views ### Proof of...
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http://en.wikipedia.org/wiki/Dirac_delta_function
# Dirac delta function "Delta function" redirects here. For other uses, see Delta function (disambiguation). Schematic representation of the Dirac delta function by a line surmounted by an arrow. The height of the arrow is usually used to specify the value of any multiplicative constant, which will give the area under...
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http://www.physicsforums.com/showthread.php?s=333c00b4a6961bbf5c68446f81ab5b6a&p=3940382
Physics Forums How would you go about solving these set of equations? Say you have a set of equations of the form [itex]\left\{ \begin{array}{rl} x+y+z &=a \\ xy + xz + yz &= b \\ xyz &= c \end{array} \right. [/itex] (for clarity: I'm working over the regular numbers) how would you go about solving it elegantly? (or ...
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http://www.all-science-fair-projects.com/science_fair_projects_encyclopedia/Mean_Value_Theorem
# All Science Fair Projects ## Science Fair Project Encyclopedia for Schools! Search    Browse    Forum  Coach    Links    Editor    Help    Tell-a-Friend    Encyclopedia    Dictionary # Science Fair ...
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http://wikipedia.sfstate.us/Sampling_distribution
edit # Sampling distribution In statistics, a sampling distribution or finite-sample distribution is the probability distribution of a given statistic based on a random sample. Sampling distributions are important in statistics because they provide a major simplification on the route to statistical inference. More sp...
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http://www.physicsforums.com/showthread.php?t=238578
Physics Forums ## Representation Theory I'm done a basic course on representation theory and character theory of finite groups, mainly over a complex field. When the order of the group divides the characteristic of the field clearly things are very different. What I'd like to learn about is what happens when the fie...
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http://en.wikipedia.org/wiki/Hypotrochoid
# Hypotrochoid The red curve is a hypotrochoid drawn as the smaller black circle rolls around inside the larger blue circle (parameters are R = 5, r = 3, d = 5). A hypotrochoid is a roulette traced by a point attached to a circle of radius r rolling around the inside of a fixed circle of radius R, where the point is ...
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http://mathhelpforum.com/discrete-math/127168-yet-two-more-questions-i-don-t-understand.html
# Thread: 1. ## Yet two more questions I don't understand. Question 1: We have seen that congruence modulo m is an equivalence relation on Z(all integers) for any integer m >= 1. Describe the set of equivalence classes for congruence modulo 8 - how many distinct classes are there and what are they? What I am gettin...
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http://gowers.wordpress.com/2010/08/21/icm2010-ngo-laudatio/
# Gowers's Weblog Mathematics related discussions ## ICM2010 — Ngô laudatio Before I continue with brief descriptions of the laudationes, let me mention that Julie Rehmeyer has written descriptions of their work for a general audience and Terence Tao has now posted about the work of the Fields medallists and the oth...
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http://mathhelpforum.com/differential-equations/205992-laplace-s-equation-3-dimension-orthogonality-eigen-function.html
1Thanks • 1 Post By chiro Thread: 1. Laplace's Equation in 3-Dimension (Orthogonality and Eigen function) Any help will be appreciated! I am solving Laplace's Equation in 3-Dimensions using superposition. The problem is that I don't know how to use orthogonality to solve for the constant when you have two Eigen func...
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http://www.physicsforums.com/showthread.php?p=4192868
Physics Forums Page 3 of 8 < 1 2 3 4 5 6 > Last » Mentor ## Does stock market create wealth? Quote by OmCheeto You sound quite knowledgeable in this topic. I don't mean to change the subject, but I just lost the equivalent of 10% of my annual salary the other day in a stock. It's IPO...
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http://mathoverflow.net/questions/40082?sort=votes
## Why do we teach calculus students the derivative as a limit? ### Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points) I'm not teaching calculus right now, but I talk to someone who does, and the question that came up is why emphasize the $h \to 0$ definition of a de...
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http://physics.stackexchange.com/questions/tagged/electrostatics+density
# Tagged Questions 3answers 276 views ### Delta Dirac Charge Density question I have to write an expression for the charge density $\rho(\vec{r})$ of a point charge $q$ at $\vec{r}^{\prime}$, ensuring that the volume integral equals $q$. The only place any charge exists is at ... 1answer 318 views ### linear charge...
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http://en.citizendium.org/wiki/Integer
Welcome to Citizendium - the Citizens' Compendium! # Integer ### From Citizendium, the Citizens' Compendium Main Article Talk Related Articles  [?] Bibliography  [?] This is a draft article, under development and not meant to be cited; you can help to improve it. These unapproved articles are subject to a disclaime...
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http://mathoverflow.net/questions/75372/automorphism-of-enrique-surface/75488
## automorphism of Enrique surface ### Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points) What is the fixed point set of an order two automorhism group of an Enriques surface. - 1 Are there two questions here? 'Why?' is perhaps a bit too broad for MO. Would you acc...
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http://mathhelpforum.com/statistics/72719-basic-probability-questions.html
# Thread: 1. ## Basic Probability Questions. 1.) In the first half of the year, you are asked to read 10 of the short stories. Your teacher provides you with 25 short stories. How many different ways are there to choose your 10 stories? 2.) In the second half of the year, your teacher has 33 short stories to choose ...
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http://mathhelpforum.com/algebra/26467-confused.html
# Thread: 1. ## confused :( Ok, I am graphing P=(1,2) with slope m=3. This is how I worked out $y-2=3(x-1)$ = $y-2=3x-3$ = $y=3x-3+2$ = $y=3x-1$ If x=0 then; $y=3(0)-1$ = $y=-1$ and so (0,-1) this would be my second point no, or is this my run? In checking with the book's answer to see if I had done this rig...
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http://nrich.maths.org/6876/index?nomenu=1
## 'Matrix Meaning' printed from http://nrich.maths.org/ ### Show menu This problem involves the algebra of matrices and various geometric concepts associated with vectors and matrices. As you consider each point, make use of geometric or algebraic arguments as appropriate. If there is no definitive answer to a given...
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http://understandinguncertainty.org/comment/681
# Can we say whether a drug would have enabled someone to live longer? Sadly not. Submitted by david on Tue, 04/20/2010 - 17:43 In the first televised election debate last Thursday, David Cameron stated that “I have a man in my constituency … who had kidney cancer who came to see me with seven others. Tragically, two...
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http://cs.stackexchange.com/questions/tagged/halting-problem
Tagged Questions Questions concerning the Halting problem which is to decide whether a given a program halts on a given input. 0answers 21 views A variant of the halting problem Show that the problem of deciding, for a given TM $M$, whether $M$ halts for all inputs within $n^2$ steps ($n$ is the length of the input...
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http://math.stackexchange.com/questions/4841/inverse-of-a-triangular-matrix-both-upper-lower-is-triangular
# Inverse of a triangular matrix( both upper & lower ) is triangular How can we prove that inverse of upper(lower) triangular matrix is upper(lower) triangular... Can anybody answer to this question....... Thanks in advance......... - 1 Why not try a constructive proof? Better yet, look at the 2-by-2 case first, a...
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http://johncarlosbaez.wordpress.com/2011/01/21/information-geometry-part-6/
# Azimuth ## Information Geometry (Part 6) So far, my thread on information geometry hasn’t said much about information. It’s time to remedy that. I’ve been telling you about the Fisher information metric. In statistics this is nice a way to define a ‘distance’ between two probability distributions. But it also has ...
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http://math.stackexchange.com/questions/86015/find-a-cubed-function-knowing-the-maximum-and-the-point-of-inflection
# Find a cubed function knowing the maximum and the point of inflection? Is it possible to find the function of a cubed line if we know its maximum and its point of inflection? if yes, can some one explain me? Thank you very much! - What's a "cubed line"? – J. M. Nov 27 '11 at 11:38 And if you mean "cubing functio...
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http://mathoverflow.net/questions/27861?sort=newest
## Periodic Automorphism Towers ### Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points) In Scott's classic textbook on Group Theory, he asks: Suppose that $G$ is a finite group. Is the sequence of isomorphism types of the groups $Aut^{(n)}(G)$ for $n \in \mathbb{N}$ ...
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http://mathoverflow.net/questions/59067/frobenius-splitting-and-derived-cartier-isomorphism/66514
## Frobenius splitting and derived Cartier isomorphism ### Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points) Let $X$ be a smooth algebraic variety over an algebraically closed field $k$ of characteristic $p>\dim X$. The motivation for my question comes from the foll...
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http://www.scholarpedia.org/article/Linear_multistep_method
Linear multistep method From Scholarpedia Ernst Hairer and Gerhard Wanner (2010), Scholarpedia, 5(4):4591. Curator and Contributors 1.00 - Gerhard Wanner 0.50 - Eugene M. Izhikevich 0.17 - Barbara Zubik-Kowal 0.17 - James Meiss 0.17 - Ernst Hairer Dr. Ernst Hairer accepted the invitation on 3 October 2008 (...
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http://mathhelpforum.com/number-theory/212663-alternating-series-test.html
1Thanks • 1 Post By johng # Thread: 1. ## Alternating Series Test * I hope its alright that I reposted this. I realized that Calculus might not be the best category for this. * Show by example that the hypothesis b1>=b2>=...bn>=0 cannot be replaced by bk>=0 and limit k-->infinity =0 hint: use |ab|< 1/2(a2+b2) I'v...
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http://physics.stackexchange.com/questions/12975/observed-angular-velocity
# “Observed” angular velocity I have a homework question based on the following diagram: I need to find the angular velocity of the object as seen by an observer at the origin of the frame. The question says that the observed angular velocity is given by $\omega_0 = \Delta \varphi_0 / \Delta t$, where $\Delta t = t_2...
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http://mathoverflow.net/questions/41912/computation-of-inverses-modulo-p-followup/41925
Computation of inverses modulo p followup Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points) In responding to http://mathoverflow.net/questions/40997/fast-computation-of-multiplicative-inverse-modulo-q/41631#41631 I mentioned an algorithm for computing the inverse ...
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http://stats.stackexchange.com/questions/12490/lognormal-distribution-using-binned-or-grouped-data
# Lognormal distribution using binned or grouped data I understand the Max likelihood estimators for mu and sigma for the lognormal distribution when data are actual values. However I need to understand how these formulas are modified when data are already grouped or binned (and actual values are not available). Speci...
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http://www.cfd-online.com/W/index.php?title=Introduction_to_turbulence/Statistical_analysis/Multivariate_random_variables&oldid=5866
[Sponsors] Home > Wiki > Introduction to turbulence/Statistical analysis/Multivariate r... # Introduction to turbulence/Statistical analysis/Multivariate random variables ### From CFD-Wiki Revision as of 11:02, 3 June 2006 by Michail (Talk | contribs) ### Joint pdfs and joint moments Often it is importamt to consi...
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http://math.stackexchange.com/questions/155055/is-there-any-sense-in-zero-padding-a-matrix-to-make-it-n-times-n-and-find-its/155073
# Is there any sense in zero-padding a matrix to make it $n\times n$ and find its eigenvalues? I am debuging my Kalman filter and the Jacobian matrix of partial derivatives of h(measurement function) with respect to x(state) is not n×n, it is 13×16. $\displaystyle \quad\ \bf H_{[i,j]}$ = $\bf \frac{\partial h_{[i]}}{...
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