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http://math.stackexchange.com/questions/163779/ocr-some-app-to-calculate-the-derivative-on-a-line-graph-with-iphone-ipad?answertab=votes
# OCR: some App to calculate the derivative on a line graph with iPhone/iPad? Problem I have a set of points like the ones shown on the right hand side of the image. So for each 'Ships Head' there is a corresponding value for 'Deviation'. In this example we can treat west as negative and east as positive values. On ...
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http://mathoverflow.net/questions/61659?sort=votes
## Spaces of filters ### Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points) This question arose more from curiosity than from an actual problem. There are situations when you embed some space $X$ in a set of filters on $X$, which inherits properties of $X$ or has eve...
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http://mathhelpforum.com/calculus/107425-related-rates-water-running-into-trough-print.html
# related rates, water running into trough Printable View • October 11th 2009, 02:57 PM oblixps related rates, water running into trough Water is running into a trough at rate 2 ft^3 / min. The cross section of the trough is an isosceles trapezoid with two bases 5 ft and 11 ft and a height of 4 ft. The length of the ...
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http://mathhelpforum.com/statistics/128299-numbers-out-hat.html
# Thread: 1. ## numbers out of hat A hat contains 5 tickets numbered 1,2,3,4,5. Two tickets are drawn at random from the hat. Find the chance that the number on the two tickets differ by two or more if the draws are made 2. Originally Posted by billy A hat contains 5 tickets numbered 1,2,3,4,5. Two tickets are drawn...
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http://mathoverflow.net/questions/54991/whitehead-doubles-of-any-knots
## Whitehead doubles of any knots ### Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points) I was curious about the fact that the Whitehead doubles of all knots have Alexander polynomial equal to 1, which is the same as a unknot. How to prove this? - ## 3 Answers One...
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http://mathhelpforum.com/trigonometry/194880-period-trig-function-print.html
# period of trig function Printable View • January 3rd 2012, 05:49 AM furor celtica period of trig function Write down the period of the graph of y=3/(2+(cos2x)^2), and also the coordinates of a maximum value of y. For the second question I answered correctly. For the first, however I didnt. It seems obvious to me t...
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http://mathforum.org/mathimages/index.php?title=Divergence_Theorem&oldid=6468
# Divergence Theorem ### From Math Images Revision as of 15:48, 29 June 2009 by Bjohn1 (Talk | contribs) Fountain Flux The water flowing out of a fountain demonstrates an important property of vector fields, the Divergence Theorem. Fountain Flux Field: Calculus Created By: Brendan John # Basic Description Consider...
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http://unapologetic.wordpress.com/2008/07/14/homogenous-linear-systems/?like=1&source=post_flair&_wpnonce=134bd2d71b
# The Unapologetic Mathematician ## Homogenous Linear Systems An important special case of a linear system is a set of homogenous equations. All this means (in this case) is that the right side of each of the equations is zero. In matrix notation (using the summation convention), we have the equation $a_i^jx^i=0$. R...
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http://mathoverflow.net/questions/119240/majority-vote-of-total-orders
## Majority vote of total orders ### Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points) Fix an odd natural number $k$. Suppose we have $k$ total orders on the same (finite) set $X$. Define a tournament on the vertex set $X$ by putting a directed edge $x\rightarrow y$...
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http://arachnoid.com/gravitation_equations/ballistics.html
Home | Science | * Gravitation Equations | * Gravitation Description and Equations 02. Force & Weight 03. Power, Energy & Gravity 04. Ballistics 05. Orbital Mechanics 06. The Pendulum Share This Page Ballistics Projectile paths without air resistance — P...
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http://mathhelpforum.com/trigonometry/142932-trig-identity.html
# Thread: 1. ## Trig Identity Hello all. I am having trouble with a trig identity, and was wondering if you could help. This is a problem from a take home quiz, and unfortunately I can't find anything in my text about how to deal with the $\cos{4\theta}$. Here is the identity. $\sin^2\theta\cos^2\theta=\frac{1}{8}[...
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http://mathforum.org/mathimages/index.php?title=Henon_Attractor&diff=32960&oldid=32959
# Henon Attractor ### From Math Images (Difference between revisions) | | ...
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http://mathoverflow.net/questions/25593?sort=oldest
## Functoriality of Poincaré duality and long exact sequences ### Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points) Hi all, Today I was playing with the cohomology of manifolds and I noticed something intriguing. Although I might just have been caught out by a coup...
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http://mathhelpforum.com/algebra/19890-factorising-explaination-print.html
# Factorising explaination Printable View • October 2nd 2007, 08:07 PM Local_lunatic Factorising explaination I've just been doing some revising and I came across a couple of factorisation questions that im not quite sure how to work out. $x^4 - a6$ and $x - x^5$ So if anyone could explain how to do them it would...
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http://www.physicsforums.com/library.php?do=view_item&itemid=798
Physics Forums Menu Home Action My entries Defined browse Select Select in the list MathematicsPhysics Then Select Select in the list Then Select Select in the list Search magnetic field Definition/Summary Magne...
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http://mathoverflow.net/questions/72354/embedding-of-local-representation-into-automorphic-representation/81552
## embedding of local representation into automorphic representation ### Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points) Assume $v$ is a place of a number field $k$, finite or not. Let $\pi_v$ be an irreducible admissible generic representation of $GL_n(k_v)$. Is ...
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http://math.stackexchange.com/questions/90825/resolving-a-paradox-concerning-an-expected-value?answertab=active
# Resolving a paradox concerning an expected value We have a coin that has a probability $p>1/2$ of coming up heads (and probability $1-p$ of coming up tails). We now play the following game: 1. We start with a fortune of one dollar. 2. We toss the coin. If it comes up heads, we double our current fortune, and we rep...
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http://www.territorioscuola.com/wikipedia/en.wikipedia.php?title=Simple_linear_regression
More results on: Download PDF files on: Download Word files on: Images on: Video/Audio on: Download PowerPoint on: More results from.edu web: Map (if applicable) of: Simple linear regression edit Extracted from Wikipedia, the Free Encyclopedia - Original source - History Loading Simple linear regression - Wiki...
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http://en.wikipedia.org/wiki/Range_of_a_function
# Range (mathematics) (Redirected from Range of a function) For other uses, see range. $f$ is a function from domain X to codomain Y. The smaller oval inside Y is the image of $f$. Sometimes "range" refers to the codomain and sometimes to the image. In mathematics, the range of a function refers to either the codomai...
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http://math.stackexchange.com/questions/58694/numbers-p-with-the-property-that-the-sum-of-the-divisors-of-p-including-1-and-p?answertab=active
# Numbers p with the property that the sum of the divisors of p (including 1 and p) equals to that of p + 1 So, I wondered if the property described in the title (namely, the property that the sum of the divisors of $n$ equals the sum of the divisors of $n+1$) ever occurred, and went to compute it. Here are the number...
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http://mathoverflow.net/questions/43313/good-references-for-rigged-hilbert-spaces/43506
## Good references for Rigged Hilbert spaces? ### Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points) Every now and then I attempt to understand better quantum mechanics and quantum field theory, but for a variety of possible reasons, I find it very difficult to read ...
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http://mathhelpforum.com/advanced-algebra/192599-what-will-determinant-matrix.html
# Thread: 1. ## what will be the determinant of the matrix A Let A be 3 by 3 matrix over real numbers satisfying A⁻¹= I -2A. Then what will be the determinant of the matrix A? thanks in advance. regards. 2. ## Re: what will be the determinant of the matrix A Originally Posted by sorv1986 Let A be 3 by 3 matrix ov...
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http://mathoverflow.net/questions/32117/set-of-real-numbers-with-positive-measure-containing-no-midpoints/32124
## Set of real numbers with positive measure containing no midpoints ### Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points) Does there exists a subset E of R with positive measure and without containing any midpoints (i.e. x,y distinct in E, (x+y)/2 not in E)? - ##...
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http://mathoverflow.net/questions/48221/spectral-sequence-for-cohomology-of-open-subset
## Spectral sequence for cohomology of open subset ### Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points) Let `$X$` be a smooth compact orientable manifold (or variety) and let $j: U \subset X$ be the complement to a union $\bigcup_{i \in I} X_i$ of smooth compact or...
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http://mathoverflow.net/users/29555?tab=recent
# Martin 233 Reputation 216 views ## Registered User Name Martin Member for 5 months Seen 3 hours ago Website Location Age 3h comment Importance of separability vs. second-countabilityWhat makes the simple fact that images of separable spaces are separable an imp...
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http://adamazzam.wordpress.com/2012/05/18/sperners-lemma/
# Sperner’s Lemma Posted on May 18, 2012 by Sperner’s Lemma is an elegant result in discrete mathematics. While it originated in the context of combinatorics and graph colorings, it also has surprisingly powerful applications to analysis and topology. In particular, it provides a combinatorial proof of the Intermedia...
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http://mathhelpforum.com/calculus/167927-integrals-sigma-notation.html
# Thread: 1. ## Integrals & Sigma Notation Consider the definite integral Then the right Riemann sum obtained by subdividing the integral into equal parts is where (Your answer should contain the variables and .) After simplifying this algebraically and breaking it up into three parts, we can write this Riemann sum ...
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http://mathoverflow.net/questions/100042/additive-integer-valued-functions-on-the-module-category/103867
## Additive integer-valued functions on the module category ### Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points) This is inspired by the theorem mentioned in http://mathoverflow.net/questions/99916/why-is-this-theorem-attributed-to-serre. But I'm not sure if it's r...
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http://mathhelpforum.com/pre-calculus/119960-domain-range.html
# Thread: 1. ## Domain And Range 1) State the domain and range of each of the following functions: a) y = 3x + 4 b) y = $3(x-4)^2 +5$ c) y = √ 2x-10 (the root is over all the numbers for c) d) y = √ $-x^2 + 4$ (the square root sign is over all the numbers for d) as well e) y = 2 |1− x |−17 f) $y = x/ (x^2-x-6)$ Can ...
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http://en.wikipedia.org/wiki/Exponential_growth
# Exponential growth The graph illustrates how exponential growth (green) surpasses both linear (red) and cubic (blue) growth. Exponential growth Linear growth Cubic growth Exponential growth occurs when the growth rate of the value of a mathematical function is proportional to the function's current value. Exponenti...
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http://mathoverflow.net/questions/83380?sort=newest
## Manin-Drinfeld and constructing a finite morphism with two given ramification points ### Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points) Fix a smooth projective connected curve $X$ over `$\overline{\mathbf{Q}}$` of genus $g\geq 1$ and distinct points `$x,y \in ...
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http://mathhelpforum.com/trigonometry/101292-trigonometric-equation.html
# Thread: 1. ## trigonometric equation Solve for A: cos 9A = (cos 15A)(cos 8A) 2. i have tried to use a math program, and the graph looks like this, the red dot are the roots. I think there so many of them Attached Thumbnails 3. Hello pacman Originally Posted by pacman Solve for A: cos 9A = (cos 15A)(cos 8A) I can'...
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http://physics.stackexchange.com/questions/31627/symmetrical-spinors-and-symmetrical-tensors
# Symmetrical Spinors and Symmetrical Tensors In Quantum Electrodynamics by Landau and Lifshiz there is the following: The correspondence between the spinor $\zeta^{\alpha \dot{\beta}}$ and the 4-vector is a particular case of a general rule: any symmetrical spinor of rank $(k,k)$ is equivalent to a symmetrical 4-ten...
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http://math.stackexchange.com/questions/94163/given-a-finite-list-of-prime-factors-what-is-the-fastest-way-to-find-all-number
# Given a finite list of prime factors, what is the fastest way to find all numbers that can be formed from them $$\text{Let} \ S = \{p_1,p_2,p_3,...,p_n\}$$ $$\text{where} \ p_i \in \Bbb P$$ What is the fastest known method method/algorithm to generate all unique numbers through product operation on $S$? $\text{Ex}...
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http://myalgebrabook.com/Chapters/Exponential_Functions/exponents_to_rational1.php
# 5.6.1 Rational Exponents: 1/n • x^{mn}=(x^m)^n=(x^n)^m • x^{1/n}=\sqrt[n]{x} is the nth root of x. The next piece of the puzzle is to try to understand $x^{m/n}$ where m and and n are counting numbers; this will help us to compute the population of our wildebeests at time 1.5 years, since 1.5 is just 3/2. You may ...
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http://physics.stackexchange.com/questions/16987/the-time-component-is-gamma-m-c-so-shouldnt-e-mc
# The time component is $\gamma m c$, so shouldn't $E=mc$? Basically, the book is Brian Cox's Why Does $E=mc^2$?: (And Why Should We Care?). I just finished Chapter 5, where we derived the spacetime momentum vector (energy-momentum four vector, as he establishes the physics jargon). Let $\gamma=\frac{1}{\sqrt{1-\fra...
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http://math.stackexchange.com/questions/114841/proof-of-a-formula-involving-eulers-totient-function
Proof of a formula involving Euler's totient function. The third formula on the wikipedia page for the Totient function states that $$\varphi (mn) = \varphi (m) \varphi (n) \cdot \dfrac{d}{\varphi (d)}$$ where $d = \gcd(m,n)$. How is this claim justified? Would we have to use the Chinese Remainder Theorem, as they s...
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http://mathoverflow.net/questions/78946/homomophism-from-koszul-complex-to-the-original-ring
## Homomophism from Koszul complex to the original ring ### Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points) In an article, I encounter an isomorphism relation as follows: Let S be a comm. ring, x an element in S. K[x,S] be corresponding Koszul complex. The articl...
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http://mathoverflow.net/questions/38573/
## The Fine Structure of The Constructible Hierarchy ### Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points) I hold in my hand a printout of Jensen's article from Annals of Mathematical Logic 4 (1972) named as in the title of the question. However the quality of the ...
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http://en.wikipedia.org/wiki/Second_law_of_black_hole_mechanics
# Black hole thermodynamics (Redirected from Second law of black hole mechanics) In physics, black hole thermodynamics is the area of study that seeks to reconcile the laws of thermodynamics with the existence of black hole event horizons. Much as the study of the statistical mechanics of black body radiation led to ...
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http://math.stackexchange.com/questions/209733/average-standard-deviation-and-min-max-values
# Average, standard deviation and min/max values I'm analzying a computer science paper and just found in the experimental setup the following statement: • Average (standard deviation) of number of files per peer: 464 (554) • Min - max number of files per peer: 100 - 4,774 Are these numbers possible at all? It does ...
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http://www.abstractmath.org/Word%20Press/?tag=abstraction
# Gyre&Gimbleposts about math, language and other things that may appear in the wabe ## Abstracting algebra 2012/12/21 — SixWingedSeraph This post has been turned into a page on WordPress, accessible in the upper right corner of the screen.  The page will be referred to by all topic posts for Abstracting Algebra. #...
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http://math.stackexchange.com/questions/77240/starting-with-paths-and-the-fundamental-group
# starting with paths and the fundamental group I have two problems, I´m a little complicated with the problem , I know that it´s easy but I need just a little help. Are two problems i) Suppose that the identity map $i:X \to X$ is homotopic to a constant path, and the space Y is path connected, then the set of homoto...
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http://mathoverflow.net/questions/120219/constructing-expanders-in-z-pz
## Constructing expanders in Z/pZ ### Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points) Fix a positive integer $k>0$. For $p>k$ a prime, let $A_p$ be a subset of the finite field $\mathbb{Z}/p\mathbb{Z}$ of size $k$ which contains a primitive element. Define $G_p$ ...
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http://mathhelpforum.com/calculus/4613-triple-integral-problems-print.html
Triple Integral Problems Printable View • August 1st 2006, 11:49 AM tttcomrader Triple Integral Problems Question: List five other iterated integrals that equals to - a) $<br /> \int_0^1 \int_y^1 \int_0^y f(x,y,z) dz dx dy<br />$ b) $<br /> \int_0^1 \int_0^{x^2} \int_0^y f(x,y,z) dz dx dy<br />$ To be honest, I do...
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http://mathoverflow.net/questions/83150/why-are-jucys-murphy-elements-eigenvalues-whole-numbers/83664
## Why are Jucys-Murphy elements' eigenvalues whole numbers? ### Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points) The Jucys-Murphy elements of the group algebra of a finite symmetric group (here's the definition in Wikipedia) are known to correspond to operators di...
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http://math.stackexchange.com/questions/108140/recurrence-relation-with-non-constant-coefficients?answertab=oldest
# recurrence relation with non constant coefficients I'm trying to solve a second order differential equation and I got a recurrence. Can someone help to solve $$n(n-1+q)a_{n}-a_{n-3}+e\cdot a_{n-2}=0$$ where $q$, $e$, and $a_{0}$ are some real numbers with $a_{1}=0$ and $a_{2}=-e\cdot a_{0}/(2(1+q))$. - 3 Perhaps y...
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http://math.stackexchange.com/questions/209344/how-to-prove-that-c-mathbbr-does-not-have-the-heine-borel-property
# How to prove that $C(\mathbb{R})$ does not have the Heine-Borel property The space $X=C(\mathbb{R})=\{f:\mathbb{R}\to\mathbb{C}: f \text{ is continuous}\}$ is metric (not normed) and a Frechet space. I want to show that this space does not satisfy the Heine-Borel property (which means that any closed and bounded sub...
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http://math.stackexchange.com/questions/tagged/markov-chains+reference-request
# Tagged Questions 1answer 22 views ### Time Periodic Homogeneous Markov Chain I want to find a textbook or survey article reference with a treatment of discrete-time, inhomogeneous, yet time periodic, markov chains on finite state spaces. Elaboration: I have an inhomogeneous ... 0answers 21 views ### Transition ma...
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http://quant.stackexchange.com/questions/4247/constructing-a-minimum-variance-portfolio?answertab=votes
# constructing a minimum variance portfolio Assume a US-based company has sold something to a Norwegian company. It will receive 1M Norwegian Kroner in two months, and would like to hedge this future cash flow against currency exchange risk. It's not possible to hedge Kroner and Dollars directly, but the company can h...
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http://motls.blogspot.com/2013/02/a-pro-firewall-paper.html?m=1
# The Reference Frame Our stringy Universe from a conservative viewpoint ## Monday, February 25, 2013 ### A pro-firewall paper The black hole firewall saga has continued with several new papers. Since the last blog entry about the topic, three Japanese authors proposed something that they call a self-consistent mod...
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http://www.physicsforums.com/showthread.php?t=618122
Physics Forums ## Find Max Compression of a Spring A 0.50 kg block is pushed against a 400 N/m spring, compressing it 22 cm. When the block is released, it moves along a frictionless horizontal surface and then up an incline (which has friction). The angle of the incline is 37 degrees and the coefficient of kinetic f...
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http://physics.stackexchange.com/questions/51240/is-all-matter-made-of-virtual-particles?answertab=active
# Is all matter made of virtual particles? This article in New Scientist says that all matter is actually virtual particles popping in and out of existence and nothing more. is this correct? - 3 It is much,much more complicated than stated in the article. So much that the main article line is completely wrong. – Mis...
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http://crypto.stackexchange.com/questions/6259/rsa-primes-vs-largest-known-primes/6265
# RSA primes vs. largest known primes In the context of a new largest (mersenne) prime number being found this week - The largest known prime number is now `2^57,885,161 − 1`, and it took 5 years to find it since the last largest prime was found. But we know that various asymmetric encryption algorithms require ridi...
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http://www.nag.com/numeric/cl/nagdoc_cl23/html/G05/g05ccc.html
# NAG Library Function Documentnag_random_init_nonrepeatable (g05ccc) ## 1  Purpose nag_random_init_nonrepeatable (g05ccc) sets the seed used by the basic generator in Chapter g05 to a non-repeatable initial value. ## 2  Specification #include <nag.h> #include <nagg05.h> void nag_random_init_nonrepeatable () ## ...
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http://physics.stackexchange.com/questions/22944/how-do-levers-amplify-forces/22992
# How do levers amplify forces? This is really bothering me for a long time, because the math is easy to do, but it's still unintuitive for me. I understand the "law of the lever" and I can do the math and use the torques, or conservation of energy. or whatever... And I can see that a lever can amplify a force you ap...
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http://mathhelpforum.com/algebra/90230-fing-range-alpha-equation-have-solution.html
# Thread: 1. ## Fing the range of alpha for equation to have solution? Find the range of real number $\alpha$ for which the equation $z + \alpha|z - 1| + 2i = 0$ ; $z = x + iy$, has no solution. Also find the solution. 2. Originally Posted by fardeen_gen Find the range of real number $\alpha$ for which the equation ...
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http://mathhelpforum.com/discrete-math/129332-equivalence-class-question.html
# Thread: 1. ## Equivalence Class Question Hey all, I was wondering if anyone could shed some light on this question. Let X= {1,2,3,4,5} and Y={3,4} b) What is the equivalence class of {1,2}? I understand equivalence relations but can't seem to grasp the concept of equivalence classes. :| Any explainations would ...
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http://mathhelpforum.com/discrete-math/181967-proof-using-binomial-theorem.html
# Thread: 1. ## Proof using Binomial Theorem Hey all, I am stuck on trying to prove $2^n = \sum_{r=0}^r \begin{pmatrix} n\\ r \end{pmatrix}$ using the Binomial Theorem, any ideas ? Thanks 2. Originally Posted by Oiler Hey all, I am stuck on trying to prove $2^n = \sum_{r=0}^r \begin{pmatrix} n\\ r \end{pmatrix}$ u...
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http://chemistry.stackexchange.com/questions/710/fundamental-forces-behind-covalent-bonding/716
# Fundamental forces behind covalent bonding I understand that covalent bonding is an equilibrium state between attractive and repulsive forces, but which one of fundamental forces actually causes atoms to attract each other? Also, am I right to think that "repulsion occurs when atoms are too close together" comes fr...
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http://physics.stackexchange.com/questions/20511/is-time-fundamentally-different-from-space?answertab=votes
# Is time fundamentally different from space? Note: This is a rewrite of the original question, which was titled What would time be for 2D beings? In my current, non-physicist's understanding, every instant of our three‑dimensional world is just another 'slice' of a four‑dimensional body. I don't mean that as an anal...
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http://math.stackexchange.com/questions/tagged/random-variables?sort=unanswered&pagesize=15
# Tagged Questions Questions about maps from a probability space to a measure space which are measurable. 0answers 63 views ### What is the distribution of $\sqrt{X^2+Y^2}$ when $X$ and $Y$ are Gaussian but correlated? If $Z = \sqrt{X^2+Y^2}$, and $X$ and $Y$ are zero-mean i.i.d. normally-distributed random variabl...
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http://en.wikibooks.org/wiki/Haskell/Denotational_semantics
# Haskell/Denotational semantics New readers: Please report stumbling blocks! While the material on this page is intended to explain clearly, there are always mental traps that innocent readers new to the subject fall in but that the authors are not aware of. Please report any tricky passages to the Talk page or the #...
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http://mathhelpforum.com/calculus/39415-how-heck-do-i-integrate.html
# Thread: 1. ## How the heck do I integrate this? I just got done taking a midterm from . Anyway, I managed to at least start most of the problems but this one just blew me away. I tried using some identities, etc. to make it look less evil but was not able to. 2. One way is to use parts. Let $u=x, \;\ dv=csc^{2}(2...
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http://math.stackexchange.com/questions/260891/chromatic-polynomials-for-graphs/261027
# Chromatic Polynomials for Graphs The chromatic polynomial of a graph $G$ is the polynomial $C_G(k)$ computed recursively using the theorem of Birkhoff and Lewis. The theorem of Birkhoff and Lewis states: $c_G(k) = c_{G-e}(k) - c_{G/e}(k)$ where $e$ is any edge from $G$, and • $G - e$ is the graph obtained from $G$ ...
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http://mathoverflow.net/questions/2083/stein-manifolds-and-affine-varieties
## Stein Manifolds and Affine Varieties ### Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points) When is a Stein manifold a complex affine variety? I had thought that there was a theorem saying that a variety which is Stein and has finitely generated ring of regular fu...
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http://mathoverflow.net/questions/123135/modern-developments-in-finite-dimensional-linear-algebra
## Modern developments in finite-dimensional linear algebra ### Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points) Are there any major fundamental results in finite-dimensional linear algebra discovered after early XX century? Fundamental in the sense of non-numerica...
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http://www.absoluteastronomy.com/topics/Characteristic_function_(probability_theory)
Characteristic function (probability theory) # Characteristic function (probability theory) Discussion Ask a question about 'Characteristic function (probability theory)' Start a new discussion about 'Characteristic function (probability theory)' Answer questions from other users Full Discuss...
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http://mathhelpforum.com/algebra/97109-factoring-sum-cubes.html
# Thread: 1. ## Factoring the sum of cubes Hi MHF, Usually I can factor, but this particular problem is just killing me today. I have been trying to figure this out for over an hour... $128r^3+686z^3$ I know two things... I know I can immediatly factor out the 2 and take it down to $2(64r^3+343z^3)$. And I know ...
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http://cms.math.ca/cjm/v65/
Canadian Mathematical Society www.cms.math.ca | | | | | |----------|----|-----------|----| | | | | | | | | Site map | | | CMS store | | location:  Publications → journals → CJM « 2012 (v64) Online First » Volume 65 (2013) — Up to issue number 3 Page Content...
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http://physics.stackexchange.com/questions/37729/is-there-a-finite-amount-of-mass-in-the-universe/37733
# Is there a finite amount of mass in the universe? So, I'm not too physics savvy but I am curious to ask. Is there a finite amount of mass in the universe? or is there more and more being created from somewhere or something? If the universe is infinite, and there's a finite amount of mass, that just seems kinda weird...
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http://mathhelpforum.com/advanced-algebra/169495-maximal-ideals.html
Thread: 1. Maximal Ideals Prove <x^2+1> is maximal in R[x] R[x] = {all polynomials with real coefficients} <x^2+1> = {f(x)*(x^2+1) ; f(x) is from R[x]} Could you guys give me some hints? I am not really sure how to even start this. This exact problem is actually an example in my book but I could not even follow it...
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http://quant.stackexchange.com/questions/2896/maximization-of-cara-utility-function-unique-solution-with-an-unbounded-paramet/2901
# Maximization of CARA utility function: unique solution with an unbounded parameter? An investor at time $t_0$ can invest his wealth $w_0$ in a risky asset $x$ for an amount $a$ and the remain part in the riskless asset $w_0-a$. At the end of the period $t_1$, the investor will obtain the wealth $w$: $$w = a(1+x)+(w...
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http://math.stackexchange.com/questions/181670/find-the-number-of-different-sets-c-such-that-b-subset-c-subset-a
# Find the number of different sets C such that $B\subset C\subset A$ Assume that A consists of n elements and $B\subset A$ consists of k elements. Find the number of different sets C such that $B\subset C\subset A$. I am reading the A. Shen and N. K. Vereshchagin book, Basic Set Theory. I try to use Combinatorics for...
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http://mathematica.stackexchange.com/questions/16214/plotting-chebyshevs-theta-function-varthetax/16216
# Plotting Chebyshev's theta function $\vartheta(x)$ The function I would like to plot is defined as $\sum\limits_{p\leq x}\log p.$ The following gives me I think a plot of the points of interest, but the function is defined for all $x > 0$ and so it's basically a step function between primes. Is there a way to augmen...
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http://math.stackexchange.com/questions/161362/proof-that-something-is-undefined/161374
# Proof that something is undefined? How can one tell the difference when the result is undefined or math just doesn't know how to provide a value for that particular equation? (the value still exists however) For example, how could one prove that by definition division by zero is undefined; it's not that math doesnt...
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http://mathoverflow.net/questions/22523/implicit-derivative/26271
## Implicit derivative? ### Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points) If we have function $y=L(x_1,x_2,x_3,...,x_n)$, and function $z=R(x_1,x_2,x_3,...,x_n)$. How to compute the derivative $\frac{dy}{dz}$? Shall I do $\frac{dy}{dz} = \sup_{g\in \Re^n}\frac{...
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http://mathoverflow.net/revisions/24158/list
## Return to Answer 4 edited body Let me make a rather crude remark about the easiest case of the rings, namely the ring around zero. Or even better, the one around infinity. John Baez mentions the above picture is about integer polynomials of height 1 with degree less than 25. Where by the height of a polynomial I ...
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http://mathoverflow.net/questions/11669/what-is-the-difference-between-matrix-theory-and-linear-algebra/11679
## What is the difference between matrix theory and linear algebra? ### Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points) Hi, Currently, I'm taking matrix theory, and our textbook is Strang's Linear Algebra. Besides matrix theory, which all engineers must take, the...
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http://math.stackexchange.com/questions/262362/what-is-the-greatest-amount-of-postage-you-would-not-be-able-to-pay
# What is the greatest amount of postage you would not be able to pay… What is the greatest amount of postage you would not be able to pay using only a combination of seven cent and seventeen cent stamps? I have done a similar problem and got it correct but I am just wondering if there are other ways to do this. Plea...
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http://crypto.stackexchange.com/questions/3798/why-rsa-cant-handle-numbers-above-76?answertab=oldest
# Why RSA can't handle numbers above 76? I'm going to encrypt the characters `Zhu`, and decrypt them using RSA. I'm using the public key $\{e, n\}$ and private key $\{d, n\}$. The values of $e$, $d$ and $p$ I get from my textbook: $e = 17$, $d = 53$, $n = 77$. It works fine when the number is smaller than 76, but in ...
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http://mathoverflow.net/questions/59069?sort=newest
## Can a complex non-skew Hermitian matrix have purely imaginary eigenvalues? ### Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points) I am trying to determine if a certain matrix can have purely imaginary eigenvalues. My question in its most general form is weather a ...
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http://physics.stackexchange.com/questions/17938/point-charge-potential-sign-problem?answertab=active
# Point charge potential (sign problem) I'm a bit embarrassed, but I'm not able to compute the electric potential at point $P$ (at a distance $R$ from the origin) generated by a positive unitary point charge in the origin with the right sign. Simply use the definition $V(P) = -\int_\infty^P \vec E\cdot d\vec l$, forge...
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http://nrich.maths.org/1015/solution
nrich enriching mathematicsSkip over navigation ### Four Go This challenge is a game for two players. Choose two numbers from the grid and multiply or divide, then mark your answer on the number line. Can you get four in a row before your partner? ### Shapes in a Grid Can you find which shapes you need to put into ...
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http://math.stackexchange.com/questions/47459/smith-normal-form-of-graded-modules-major-edit
# Smith normal form of graded modules. (Major edit) Ok, this is a major rewriting of my previous entry which no one answered. Let us have two graded $F[t]$-modules M and N with bases $m_1, \ldots, m_m$ and $n_1, \ldots, n_n$, respectively, and $F$ is a field ($F[t]$ is a PID). Note that $m_i$ and $n_j$ are homogeneou...
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http://sumidiot.wordpress.com/2009/06/06/hardy-and-wright-chapter-11-part-1/
# ∑idiot's Blog The math fork of sumidiot.blogspot.com ## Hardy and Wright, Chapter 11 (part 1) Now that we’ve got continued fractions under our belt, from chapter 10, we can go on and start looking at “Approximation of Irrationals by Rationals”, chapter 11. One of the (many) cool things about continued fractions, i...
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http://en.wikipedia.org/wiki/Parametric_feature_based_modeler
# Solid modeling (Redirected from Parametric feature based modeler) The geometry in solid modeling is fully described in 3‑D space; objects can be viewed from any angle. Solid modeling (or modelling) is a consistent set of principles for mathematical and computer modeling of three-dimensional solids. Solid modeling i...
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http://cms.math.ca/Reunions/hiver10/abs/cst.html
Réunion d'hiver SMC 2010 Coast Plaza Hotel and Suites, Vancouver, 4 - 6 décembre 2010 www.smc.math.ca//Reunions/hiver10 Acquisition comprimée : Théorie, algorithmes et application Org: Michael Friedlander, Felix Herrmann et Ozgur Yilmaz (UBC) [PDF] LORNE APPLEBAUM, Princeton University Multiuser Detection in Asynchr...
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http://crypto.stackexchange.com/tags/chosen-plaintext-attack/hot?filter=all
# Tag Info ## Hot answers tagged chosen-plaintext-attack 13 ### What is the difference between known-plaintext attack and chosen-plaintext attack? It's the difference between an active and a passive attacker: Known plaintext attack: The attacker knows at least one sample of both the plaintext and the ciphertext. In...
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http://gilkalai.wordpress.com/2009/03/14/a-beautiful-garden-of-hypertrees/?like=1&source=post_flair&_wpnonce=8cb43e0c56
Gil Kalai’s blog ## A Beautiful Garden of Hypertrees Posted on March 14, 2009 by We had a series of posts (1,2,3,4) “from Helly to Cayley” on weighted enumeration of Q-acyclic simplicial complexes. The simplest case beyond  Cayley’s theorem were Q-acyclic complexes  with $n$ vertices, ${n \choose 2}$ edges, and ${{n...
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http://en.wikipedia.org/wiki/Normal-gamma_distribution
# Normal-gamma distribution Parameters $\mu\,$ location (real) $\lambda > 0\,$ (real) $\alpha \ge 1\,$ (real) $\beta \ge 0\,$ (real) $x \in (-\infty, \infty)\,\!, \; \tau \in (0,\infty)$ $f(x,\tau|\mu,\lambda,\alpha,\beta) = \frac{\beta^\alpha \sqrt{\lambda}}{\Gamma(\alpha)\sqrt{2\pi}} \, \tau^{\alpha-\frac{1}{2}}\,e^...
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http://math.stackexchange.com/questions/35267/total-probability-problem/35269
# total probability problem One bag contains 5 white and 4 black balls. Another bag contains 7 white and 9 black balls. A ball is transferred from the first bag to the second and then a ball is drawn from second. What will be the probability that the ball is white. - ## 1 Answer It would be the following: $$P(W) = ...
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http://math.stackexchange.com/questions/15261/convergence-tests-for-improper-multiple-integrals?answertab=active
# Convergence tests for improper multiple integrals For improper single integrals with positive integrands of the first, second or mixed type there are the comparison and the limit tests to determine their convergence or divergence. There is also the absolute convergence theorem. For multiple integrals I know that th...
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http://unapologetic.wordpress.com/2010/03/29/sets-measurable-by-an-outer-measure-i/
# The Unapologetic Mathematician ## Sets Measurable by an Outer Measure I An outer measure $\mu^*$ on a hereditary $\sigma$-ring $\mathcal{H}$ is nice and all, but it’s not what we really want, which is a measure. In particular, it’s subadditive rather than additive. We want to fix this by restricting to a nice colle...
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http://mathoverflow.net/questions/18734/is-a-proper-quotient-map-closed
Is a proper quotient map closed ? Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points) I am trying to produce closed quotient maps, as they allow a good way of creating saturated open sets (as in this question). A map $f:X\rightarrow Y$is called proper, iff preimages ...
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http://en.wikisource.org/wiki/Some_Emission_Theories_of_Light
# Some Emission Theories of Light From Wikisource Jump to: navigation, search Some Emission Theories of Light  (1912)  by Richard Chace Tolman Physical Review, August 1912, 35 (2): 136-143, Online Some Emission Theories of Light Richard Chace Tolman 1912 THE Einstein theory of relativity assumes as its second pos...
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http://mathhelpforum.com/algebra/83732-how-do-you-graph-function.html
# Thread: 1. ## How do you graph this function? $f(x)=x^2+6x$ 2. Originally Posted by juliajank $f(x)=x^2+6x$ There are alot of ways to do this the most simple is to plot points. So pick some values of x and plug them in to get y values and plot the points... here is one let $x=1 \implies f(1)=1^2+6(1)=7 \implies ...
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http://math.stackexchange.com/questions/261442/non-trivial-93rd-roots-of-unity-in-finite-fields
# Non-trivial 93rd roots of unity in finite fields [duplicate] Possible Duplicate: Finding the values of $n$ for which $\mathbb{F}_{5^{n}}$, the finite field with $5^{n}$ elements, contains a non-trivial $93$rd root of unity For which of the following value of $n$, does the finite field $\Bbb F$, with $5^n$ elements ...
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http://mathforum.org/mathimages/index.php?title=Parametric_Equations&diff=7934&oldid=7442
# Parametric Equations ### From Math Images (Difference between revisions) | | | | | |---------|----------------------------|---------|----------------------------| | | | | | | L...
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http://math.stackexchange.com/questions/138341/how-to-avoid-arithmetic-mistakes/138421
# How to avoid arithmetic mistakes? When dealing with several numbers and long equations, it's common to make careless arithmetic mistakes that give the wrong answer. I was wondering if anyone had tips to catch these mistakes, or even better avoid them more often. (aside from the obvious checking your work- that's a m...
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