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http://mathhelpforum.com/statistics/167501-probability-check.html
# Thread: 1. ## Probability check I came across this task, and I could not solve it furthermore. Can anyone check my equation and help me solve it? -The probability to succeed in a random test is 0.8. It's known that if N people attending to the test the probability that all of them will succeed is 0.4096. A- Find N...
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http://nrich.maths.org/public/leg.php?code=-38&cl=2&cldcmpid=6745
# Search by Topic #### Resources tagged with Permutations similar to Weekly Problem 45 - 2009: Filter by: Content type: Stage: Challenge level: ##### Other tags that relate to Weekly Problem 45 - 2009 Place value. Mathematical reasoning & proof. Working systematically. Addition & subtraction. Algebra - generally. N...
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http://physics.stackexchange.com/questions/52524/is-it-part-of-special-relativity-that-mass-possessing-energy-is-more-dense/52526
# Is it part of special relativity that mass possessing energy is more dense? I was reading http://www.edge.org/3rd_culture/hillis/hillis_p2.html and it says that a charged battery weighs more than a dead one or a rotating object weighs more than a stationary one (i.e. mass containing energy weighs more than mass that...
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http://www.haskell.org/haskellwiki/index.php?title=User:Michiexile/MATH198/Lecture_1&diff=46142&oldid=30053
# User:Michiexile/MATH198/Lecture 1 ### From HaskellWiki (Difference between revisions) | | ...
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http://math.stackexchange.com/questions/131921/very-interesting-sequence-problem
# Very Interesting Sequence Problem I need help primarily with the finding a solution, I already came up with an answer. We define an Eden sequence to be a subset of the set $\{1,2,3,4,\ldots ,N\}$. The Eden sequence has three conditions. 1. each of its terms is an element of the set of consecutive integers $\{1,2,3...
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http://mathhelpforum.com/number-theory/212816-rearrangements-infinite-series.html
1Thanks • 1 Post By johng # Thread: 1. ## Rearrangements of an infinite Series If ak>=0 for all k in N, and Σak= prove that Σa'k= for any rearrangement Σa'k of Σak I think I understand this proof, I'm just having trouble making it rigorous. I was going to go the route that since ak is positive, then its sum is mono...
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http://math.stackexchange.com/questions/tagged/q-analogs
# Tagged Questions Use this tag for questions pretaining to q-analogs of functions, for example q-Binomials, $q$-derivatives, the q-theta function, the q-Pochammer symbol, etc. 1answer 61 views ### What does the $q$-Catalan Numbers count? I had completed a paper describing the $q$-Catalan numbers, which is the $q$-...
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http://www.physicsforums.com/showthread.php?t=611510
Physics Forums Why electric field is zero inside a conductor? 1.Why electric field is zero inside a conductor? Can anyone explain it with Gauss's law and without Gauss's law? 2.Is it possible to create electric field inside a conductor? If so,how and in which condition it is created? PhysOrg.com physics news on Ph...
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http://mathoverflow.net/revisions/75096/list
## Return to Answer 2 reversed inclusion for $H^1$ and $L^4$ I am not going to try to find the most general conditions under which lower semi-continuity holds but for that I suggest the standard reference for all of this is "Direct methods in the Calculus of Variations" by Bernard Dacorogna which covers all of this i...
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http://physics.stackexchange.com/questions/tagged/work?sort=faq&pagesize=30
# Tagged Questions The work tag has no wiki summary. 7answers 3k views ### Why does holding something up cost energy while no work is being done? I read the definition of work as $$W ~=~ \vec{F} \cdot \vec{d}$$ $$\text{ Work = (Force) $\cdot$ (Distance)}.$$ If a book is there on the table, no work is done as no dis...
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http://mathoverflow.net/questions/97100/jordan-algebra-and-quaternionic-projective-space/97101
## Jordan algebra and quaternionic projective space ### Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points) How we can define quaternionic projective space and metric on it using Jordan algebra? Thank you in advance! - ## 2 Answers I am not much educated in this s...
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http://mathoverflow.net/questions/91939?sort=votes
## Higher computability : Constructive ordinal and $\Delta^1_1$ predicates ### Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points) Everything I know on this subject comes from Sacks book : "Higher recursion theory" Let $\mathcal{O^Y}$ be the set of codes for ordinals...
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http://climateaudit.org/2007/05/04/more-on-hegerl-et-al-2006-non-confidence-intervals/?like=1&source=post_flair&_wpnonce=134bd2d71b
by Steve McIntyre ## More on Hegerl et al 2006 Non-Confidence Intervals There are a few other blogs that from time to time do detailed analyses of what people are doing, not dissimilar in format to what I do. Last year, in Apr 2006 shortly after publication, I observed here that the upper and lower confidence interva...
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http://mathhelpforum.com/calculus/75425-reduction-formula.html
# Thread: 1. ## reduction formula hey there, first time poster, long time struggler...so i need some help with a problem. it says to find the reduction formula for the integral (e^x)(sin x)^n in terms of the integral (e^x)(sin x)^n-2. i know its integration by parts but i have no idea what to do for my substitution...
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http://math.stackexchange.com/questions/1706/does-set-mathbbr-include-zero/1740
# Does set $\mathbb{R}^+$ include zero? I've been trying to find answer to this question for some time but in every document I've found so far it's taken for granted that reader know what $\mathbf ℝ^+$ is. - 19 It depends on the choice of the person using the notation: sometimes it does, sometimes it doesn't. It is ...
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http://mathhelpforum.com/algebra/45224-how-factorise.html
# Thread: 1. ## how to factorise this Trying to jog my memory here, how would I go about factorising this, as I'm trying to find its limit as x approaches 3 from the left. \[ \frac{{x^2 - x + 12}}{{x + 3}} \] 2. fyi, the numerator will not factor, but why factor at all? there is no discontinuity at x = 3 ... just p...
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http://www.physicsforums.com/showthread.php?p=4065657
Physics Forums Page 2 of 4 < 1 2 3 4 > ## The problem with infinity. Quote by bahamagreen Thanks for mentioning those, I had never run across the Ant On A Rubber Rope before. Might Hilbert's Hotel have a flaw in the premise that relates to problems with infinity? If an infinite number of ro...
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http://math.stackexchange.com/questions/84231/how-do-i-set-up-the-following-problem-to-arrive-at-the-answer?answertab=votes
# How do I set up the following problem to arrive at the answer? A warehouse has 10 unlabelled rows of pallets. Each row of pallets contains thousands of cell phones destined for different countries. Each 100 gram cell phone is exactly the same except for those in the row destined for Japan, which have a “special” 2 g...
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http://stats.stackexchange.com/questions/22940/bayesian-prior-corresponding-to-penalized-regression-coefficients
# Bayesian prior corresponding to penalized regression coefficients I'm working on a Bayesian Regression problem where I would like to estimate the beta coefficients subject to this constraint (penalty): $\sum|\beta_i|<C$ or similarly $\sum \beta_i^2<C$ Which is basically a Lasso or L2 Penalty. Now, if I understand...
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http://mathoverflow.net/questions/61829?sort=newest
## Best introduction to probability spaces, convergence, spectral analysis ### Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points) I'm not sure if this stuff all falls under what most would just term "probability", but I'm researching applied macroeconomics and need t...
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http://mathhelpforum.com/geometry/1637-geometry-help-needed-please.html
# Thread: 1. ## geometry help needed, please Why is line segment ab = line segment ab? what is the name of the reason/postulate/whatever it is called? Also, if you know that you have 2 triangles and you are trying to prove they are congruent and you know that 2 sides are equal and 1 angle is equal, which reason/law/...
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http://mathoverflow.net/questions/52075/solution-of-plateau-problem-for-a-simple-smooth-closed-curve-on-a-riemannian-man/52168
## Solution of Plateau Problem for a simple, smooth closed curve on a Riemannian Manifold (Kahler) gives a surface that can be parametrized by a closed disk? ### Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points) Hi, Perhaps it's a stupid question, in that case i'll...
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http://mathhelpforum.com/calculus/122296-help-particle-motion-derivatives-etc-print.html
# Help with particle motion, derivatives, etc. Printable View • January 3rd 2010, 12:04 PM macroecon Help with particle motion, derivatives, etc. I have never seen any examples of these problems, and they showed up on a review sheet for the final exam in May. If you can help me through these or explain to me what I s...
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http://stats.stackexchange.com/questions/1430/example-of-a-2nd-order-stationary-but-not-strictly-stationary-process
# Example of a 2nd order stationary, but not strictly stationary process Does anybody have a nice example of a stochastic process that is 2nd-order stationary, but is not strictly stationary? - I would like to add a stochastic processes tag, but don't have the reputation, perhaps somebody could edit this for me? – R...
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http://mathoverflow.net/questions/121260/isometric-embeddings-of-cayley-graphs-in-nice-spaces/121286
isometric embeddings of Cayley graphs in “nice” spaces Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points) This is from a physicist I know and as may be expected, I am threading my way between poorly defined and poorly translated. What groups have Cayley graphs (w.r....
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http://math.stackexchange.com/questions/279003/full-hessian-spherical-coordinates
# full hessian, spherical coordinates The question itself is pretty simple. I am running into confusion. Seems like there is a typo in the book. I wanna check myself. Maybe I am doing something wrong. Suppose we have the function (which I term full hessian): $$w=\sum_{i,j}f_if_{ij}f_j$$ with $$i,j=x,y,z$$ where $f_{i...
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http://mathoverflow.net/questions/38825/what-kind-of-lagrangians-can-we-have/39185
## What kind of Lagrangians can we have? ### Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points) In any physics book I've read the Lagrangian is introuced as as a functional whose critical points govern the dynamics of the system. It is then usually shown that a finit...
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http://physics.stackexchange.com/questions/52527/can-low-gravity-planets-sustain-a-breathable-atmosphere
# Can low-gravity planets sustain a breathable atmosphere? If astronauts could deliver a large quantity of breathable air to somewhere with lower gravity, such as Earth's moon, would the air form an atmosphere, or would it float away and disappear? Is there a minimum amount of gravity necessary to trap a breathable at...
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http://mathhelpforum.com/pre-calculus/96095-how-find-maximum-minimum-points.html
# Thread: 1. ## How to find Maximum and Minimum Points? 1. $y=(1-x^2)(4-x^2)$ 2. $y=3x^4-16x^3+18x^2$ Answer: 1. $(-\sqrt{\frac{5}{2}}, -2) (\sqrt{\frac{5}{2}}, -2)$ 2. $(1, 5) (3, -27)$ 2. The condition is : dy/dx = 0 but i get three values for each question, not two 3. ## Differentiation The only way I know ...
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http://mathhelpforum.com/advanced-algebra/174018-orthogonal-matrices-help.html
# Thread: 1. ## orthogonal matrices help using the definition of an orthogonal matrix prove : P is an orthogonal matrix if and only if P^t is an orthogonal matrix. I know P is orthogonal if we can multiply P by P^t and get the identity matrix but dont know where to go from there!! any help appreciated!! 2. Original...
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http://math.stackexchange.com/questions/23729/what-is-the-condition-for-a-field-to-make-the-degree-of-its-algebraic-closure-ov
# What is the condition for a field to make the degree of its algebraic closure over it infinite? As we all know, the algebraic closure often has an infinite degree. Also, this shows the necessary and sufficient condition for a Galois extension to be a finite extension of fields. However, we may want to characterize t...
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http://mathoverflow.net/questions/20381/crystalline-cohomology-of-abelian-varieties/20385
Crystalline cohomology of abelian varieties Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points) I am trying to learn a little bit about crystalline cohomology (I am interested in applications to ordinariness). Whenever I try to read anything about it, I quickly encoun...
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http://math.stackexchange.com/questions/112217/velocity-radius-and-angular-speed-finding-units
Velocity, Radius and Angular Speed - Finding Units I have been trying to figure this one out for two days, and I really have no idea what to do. To begin with, I need to know what units will be produced in the following situations: • Velocity's units when angular speed and radius are rpm and feet, respectively. (I t...
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http://mathoverflow.net/questions/75964?sort=votes
## Extending a vector bundle to a torsion free sheaf ### Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points) Let's say that $X$ is an integral scheme of finite type over a field and $Y \subset X$ is a closed subscheme. Given a vector bundle $E$ on $Y$, is $E$ the rest...
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http://unapologetic.wordpress.com/2009/09/01/row-echelon-form/?like=1&source=post_flair&_wpnonce=d91e0e6d9a
# The Unapologetic Mathematician ## Row Echelon Form For now, I only want to focus on elementary row operations. That is, transformations of matrices that can be effected by multiplying by elementary matrices on the left, not on the right. Row echelon form is a (non-unique) simplification of the form of a matrix tha...
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http://math.stackexchange.com/questions/132062/asymptotic-notation
# Asymptotic notation [THIS IS HOMEWORK so please, don't just provide solutions, help me reasoning] I'm dealing with the following problem: Let $f(n)$ be the worst case time complexity of an algorithm A. Assume that there exist $c > 0$ and $n_{0}$, such that for each $n > n_{0}$ there exists an input of size $n$ for ...
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http://math.stackexchange.com/questions/160577/population-change-differential-equations?answertab=active
# Population change differential equations Lake has 400 fish, estimated carrying capacity is 10,000 for that year. Fish tripled in first year. a) Assuming size of the fish population satisfies the logisitic equation find an expression for the size of population after t years. b) How long will it take for population fo...
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http://math.stackexchange.com/questions/102107/combinatorial-proof-to-the-identity-sum-k-0n-binomxkk-binomxn1n
Combinatorial proof to the identity $\sum_{k=0}^n\binom{x+k}{k}=\binom{x+n+1}{n}$? [duplicate] Possible Duplicate: Combinatorial proof for two identities The identity $$\sum_{k=0}^n\binom{x+k}{k}=\binom{x+n+1}{n}$$ can be verified by a straightforward induction, but is there some nice combinatorial argument which pro...
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http://cs.stackexchange.com/questions/9831/context-free-grammar-for-language-l
# Context Free Grammar for language L Can someone help with this: $L=\{a^ib^j \mid i,j \ge 1 \text{ and } i \ne j \text{ and } i<2j\}$ I'm trying to write a grammar for this language? I tried this: $S \to S_1 \mid S_2 \\ S_1 \to aXb \\ X \to aXb \mid aaXb \mid aab \\ S_2 \to aYb \\ Y \to aYb \mid Yb \mid b \\$ Wha...
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http://mathoverflow.net/questions/55383?sort=oldest
## Impact of discrepancy between Kunen’s and Jech’s definition of iterated forcing on full support iterations ### Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points) One of the first things we usually learn when we study iterated forcing is that we can force over a mo...
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http://cms.math.ca/10.4153/CJM-2012-042-9
Canadian Mathematical Society www.cms.math.ca | | | | | |----------|----|-----------|----| | | | | | | | | Site map | | | CMS store | | location:  Publications → journals → CJM Abstract view # Cumulants of the $q$-semicircular Law, Tutte Polynomials, and H...
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http://www.all-science-fair-projects.com/science_fair_projects_encyclopedia/Moment_(physics)
# 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://math.stackexchange.com/questions/294443/would-it-also-be-useful-to-include-an-ordered-pair-function-in-first-order-logic
# Would it also be useful to include an ordered pair function in first order logic? Typically, first-order logic is assumed to include an equality relation $=$, even though this is "non-logical," together with some postulates about equality. Would it also be useful to include an ordered pair function $(*,*)?$ One cou...
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http://math.stackexchange.com/questions/237246/find-orthonormal-basis-for-image-plane-given-camera-matrix
# Find Orthonormal Basis for Image Plane Given Camera Matrix Given a projection matrix $P = [M | p_4]$, ($M \in 3 \times 3$, $p_4 \in 3 \times 1$), the principal axis (the vector that passes through the center of projection and is perpendicular to the image plane) $v$ is $$v = det(M)m_3$$ where $m_3$ is the third row ...
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http://mathoverflow.net/questions/42189/number-of-edges-in-low-complexity-graphs
## Number of edges in low complexity graphs ### Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points) Is the number of edges in the 3-connected graph with the minimum number of spanning trees always $\lceil {\frac{3}{2}}n\rceil$? - 1 What are some examples of such 3c-...
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http://physics.stackexchange.com/questions/15098/linear-acceleration-vs-angular-acceleration-equation?answertab=oldest
# Linear acceleration vs angular acceleration equation I'm learning about angular velocity, momentum, etc. and how all the equations are parallel to linear equations such as velocity or momentum. However, I'm having trouble comparing angular acceleration to linear acceleration. Looking at each equation, they are not ...
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http://mathoverflow.net/revisions/59846/list
## Return to Answer 1 [made Community Wiki] Well, there are of course many examples but perhaps the Dirac $\delta$-function is the most striking one. With quite some violence to the math of usual calculus, Dirac's idea turned out to be exremely useful: the "function" everywhere zero and very high at $0$ so that the i...
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http://bmet.wikia.com/wiki/Optics
# Optics Talk0 1,606pages on this wiki ## About Optics is the study of the behavior and properties of light, including its interactions with matter and the construction of optical instruments that use or Photodetector it. Optics usually describes the behavior of visible, ultraviolet, and infrared light. Because ligh...
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http://mathhelpforum.com/discrete-math/120872-not-understanding.html
Thread: 1. not understanding have to do a couple problems for homework and im not understanding exactly what is going on and why its the answer 27. Let m, n, and d be integers. Show that if d \ m and d \ n, then d\ (m - n). my professor gave us the answer to this but i do not understand why it works answer: m = dq1...
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http://mathhelpforum.com/differential-equations/173762-tricky-equation-first-order-print.html
# A tricky equation of the first order Printable View • March 7th 2011, 10:29 AM getsallad A tricky equation of the first order My teacher gave me a "bonus" assignment the other day, and I've been racking my brain trying to solve it. Here it is: $xy'(ln(\frac{x}{y}) +1) = y(ln(\frac{x}{y}) - 1)$ So far I've figured...
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http://psychology.wikia.com/wiki/Least_square
Least squares Talk0 31,725pages on this wiki Redirected from Least square Assessment | Biopsychology | Comparative | Cognitive | Developmental | Language | Individual differences | Personality | Philosophy | Social | Methods | Statistics | Clinical | Educational | Industrial | Professional items | World psychology |...
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http://mathoverflow.net/questions/43319/do-convex-and-decreasing-functions-preserve-the-semimartingale-property/43389
## Do convex and decreasing functions preserve the semimartingale property? ### Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points) Some time ago I spent a lot of effort trying to show that the semimartingale property is preserved by certain functions. Specifically, t...
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http://math.stackexchange.com/questions/189399/expected-number-of-balls-withdrawn-to-get-equal-numbers-of-black-and-white-balls/189413
# expected number of balls withdrawn to get equal numbers of black and white balls There are $n$ black balls and $n$ white balls in a bin. I withdraw the balls one at a time without replacement until I have an equal number of white and black balls. What is the expected number of balls that I have to withdraw? It appe...
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http://mathoverflow.net/questions/5761/change-rates-of-the-2nd-chebychevs-function/6064
## change rates of the 2nd Chebychev´s function ### Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points) Let $\psi(x):=\sum_{n\leq x}\Lambda(n)$ denotes the 2nd Chebyshev function, where $\Lambda$ stands for the von-Mangoldt function. Are there any known (and 'nice') e...
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http://mathhelpforum.com/differential-geometry/122635-fractional-part-integration-print.html
# fractional part and integration Printable View • January 6th 2010, 08:27 AM Shanks fractional part and integration Let $\{x\}$ be the positive fractional part of real number $x$, for example, $\{\pi\}=0.1415926...$ . Prove that the set $S=\{\{nv\}:n\in Z^+\}$ is dense in [0,1] if $v$ is positive irrational number. ...
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http://math.stackexchange.com/questions/202879/prove-the-existence-of-a-c-infty-bounded-function-with-arbitrary-derivatives
# Prove the existence of a $C^\infty$ bounded function with arbitrary derivatives at a fixed point. (Borel?) I found this problem on an Italian forum and since then I struggled to solve it. The autor there claims it was proposed by Borel. At any rate the problem is as follows (Borel?) For any $\{a_n\}_{n=0}^{\infty}\...
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http://stats.stackexchange.com/questions/3438/calculating-percentile-of-normal-distribution
# Calculating percentile of normal distribution http://en.wikipedia.org/wiki/Binomial_proportion_confidence_interval#Agresti-Coull_Interval To get the Agresti-Coull Interval, one needs to calculate a percentile of the normal distribution, called $z$. How do I calculate tha percentile? Is there a ready-made function t...
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http://physics.stackexchange.com/questions/52469/differentiation-and-delta-function
# Differentiation and delta function Need help doing this simple differentiation. Consider 4 d Euclidean(or Minkowskian) spacetime. \begin{equation} \partial_{\mu}\frac{(a-x)_\mu}{(a-x)^4}= ? \end{equation} where $a_\mu$ is a constant vector and the indices are summed over since one really doesn't need to bother about...
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http://mathoverflow.net/questions/tagged/harmonic-analysis
## Tagged Questions 1answer 58 views ### Plancherel formula for non-second-countable (non-unimodular) groups The Plancherel formula for unimodular, second-countable, type 1 groups can be found in A Course in Abstrict Harmonic Analysis by Gerald Folland (theorem 7.44) or here. It states th … 1answer 150 views ### Li...
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http://math.stackexchange.com/questions/118231/proving-that-11-cannot-be-written-in-the-form-p24pqq2
# Proving that 11 cannot be written in the form $p^2+4pq+q^2$ I have to prove that it is imossible to write 11 in the form $p^2+4pq+q^2$ where $p$ and $q$ are integers. I tried to start a proof by contradiction like this: $$p^2+4pq+q^2 = 11\\ 2(p+q)^2 - (p^2 + q^2) = 11\\ 2(p+q)^2 = 11 + (p^2 + q^2)$$ I'm really not...
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http://mathoverflow.net/questions/28520/hodge-numbers-of-compactifications/28597
## Hodge numbers of compactifications ### Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points) Let $X$ be a smooth complex quasi-projective variety. We can find good compactification: a smooth proper variety $\bar{X}$ such that ${\bar X} \setminus X$ is a divisor with ...
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http://nrich.maths.org/2665/solution
### Isosceles Triangles Draw some isosceles triangles with an area of $9$cm$^2$ and a vertex at (20,20). If all the vertices must have whole number coordinates, how many is it possible to draw? ### Route to Infinity Can you describe this route to infinity? Where will the arrows take you next? ### Eight Hidden Squar...
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http://mathhelpforum.com/calculus/79755-solved-vector-calculus-max-min-magnitude-acceleration.html
# Thread: 1. ## [SOLVED] [Vector Calculus]: Max, Min of magnitude of acceleration Ok so I have a vector function: r(t)= $<3cos(t) , 2sin(t)>$ Alright so I have to find the Max and Min for the magnitude of the acceleration. The steps I was undergoing were: 1. I found the velocity vector v(t)= $<-3sin(t) , 2cos(t)>...
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http://mathoverflow.net/questions/45487/compactness-theorem-for-first-order-logic/45559
## Compactness Theorem for First Order Logic ### Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points) Hi all, I am interested in proofs without using Goedel's completeness theorem. • Does anyone have a reference to a proof of this theorem that uses Skolem Functions? •...
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http://unapologetic.wordpress.com/2009/02/16/
# The Unapologetic Mathematician ## Generalized Eigenvectors Sorry for the delay, but exam time is upon us, or at least my college algebra class. Anyhow, we’ve established that distinct eigenvalues allow us to diagonalize a matrix, but repeated eigenvalues cause us problems. We need to generalize the concept of eige...
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http://psychology.wikia.com/wiki/Noisy_channel_coding_theorem?oldid=13313
# Noisy channel coding theorem Talk0 31,730pages on this wiki Revision as of 06:33, May 31, 2006 by Lifeartist (Talk | contribs) (diff) ← Older revision | Latest revision (diff) | Newer revision → (diff) Assessment | Biopsychology | Comparative | Cognitive | Developmental | Language | Individual differences | Person...
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http://mathoverflow.net/questions/106382?sort=oldest
## Finding an axis-aligned ellipsoid of minimal volume which contains a given ellipsoid ### Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points) A friend asked me to post the following question. He's not an MO user and felt it would be better received if asked by someo...
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http://cms.math.ca/Events/summer12/abs/pmp
2012 CMS Summer Meeting Regina Inn and Ramada Hotels (Regina~Saskatchewan), June 2 - 4, 2012 www.cms.math.ca//Events/summer12 Perspectives in Mathematical Physics Org: Yvan Saint-Aubin and Luc Vinet (Montréal) [PDF] FERENC BALOGH, Concordia University and CRM Reduction of planar orthogonality to non-hermitian orthog...
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http://physics.aps.org/story/print/v2/st19
# Focus: Nobel Focus: Chemistry by Computer Published October 21, 1998  |  Phys. Rev. Focus 2, 19 (1998)  |  DOI: 10.1103/PhysRevFocus.2.19 The 1998 Nobel Prize in chemistry recognizes two researchers whose work has allowed chemists to calculate the properties of molecules and solids on computers, without performing ...
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http://mathoverflow.net/questions/83932/enumerating-all-non-planar-embeddings-of-a-generic-connected-graph-in-the-plane
## Enumerating all non-planar embeddings of a generic connected graph in the plane ### Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points) Hi There I've been tackling a problem in computer science, which relies quite heavily on graph theoretic concepts. I'd appreciat...
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http://crypto.stackexchange.com/questions/2683/is-this-a-secure-multiparty-protocol?answertab=active
# Is this a secure multiparty protocol? I am facing the following situation and i am trying to break down the problem into some specific cryptogrphic primitives. There is a function F that takes as input a bit string and produces a fingerprint.In my protocol there is a user $u$ who holds the input $D$ and $n$ other pa...
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http://math.stackexchange.com/questions/173025/question-about-continuous-function-in-terms-of-limits-of-sequences
# Question about continuous function in terms of limits of sequences I am reading about continuous function, in this site http://en.wikipedia.org/wiki/Continuous_function specifically the section "Definition in terms of limits of sequences". My question is, let be $c\in \mathbb{R}$ an arbitrary element belonging to do...
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http://gilkalai.wordpress.com/2009/02/24/a-little-more-on-boolean-functions-and-bounded-depth-circuits/?like=1&source=post_flair&_wpnonce=836876f408
Gil Kalai’s blog ## A Little More on Boolean Functions and Bounded Depth Circuits Posted on February 24, 2009 by Boolean circuits This post (in a few parts) contains a quick introduction to Boolean circuits. It is related to the recent news post about the solution of Braverman to the Linial-Nisan conjecture. In par...
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http://en.wikisource.org/wiki/On_the_Theory_of_Radiation_of_Moving_Bodies
# On the Theory of Radiation of Moving Bodies From Wikisource On the Theory of Radiation of Moving Bodies  (1904)  by Friedrich Hasenöhrl, translated by Wikisource In German: Zur Theorie der Strahlung bewegter Körper, Wiener Sitzungsberichte, 113 IIa: 1039-1055 On the Theory of Radiation of Moving Bodies Friedrich ...
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http://leftcensored.skepsi.net/
Where to begin… Pearson’s r: Not a good measure of electoral persistence Posted on December 30, 2012 by Pearson’s product-moment correlation, $$r$$, is an incredibly useful tool for getting some idea about how two variables are (linearly) related. But there are times when using Pearson’s $$r$$ is not appropriate and...
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http://mathoverflow.net/questions/76551/moving-the-origin-of-an-elliptic-curve
## Moving the origin of an elliptic curve ### Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points) Suppose one has an elliptic curve $E = (C,O)$ over a field $k$ where $C$ is a non-singular genus one curve over $k$ and $O$ is a $k$-rational point on $C$. By moving $O$ ...
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http://mathhelpforum.com/advanced-algebra/203821-please-help-check-my-solutions-vector-space-questions.html
1Thanks • 1 Post By Deveno # Thread: 2. ## Re: Please help check my solutions for vector space questions From looking at the images you posted it seems that you are proving: $|V\cdot U|\le\|V\|\|U\|$ The standard proof follows from the fact $\frac{V\cdot U}{\|V\|\|U\|}=\cos(\theta)$ where $\theta$ is the angle betw...
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http://mathhelpforum.com/differential-geometry/171721-coordinate-charts-inverse-functions-print.html
# Coordinate Charts and inverse of functions. Printable View • February 18th 2011, 05:11 AM Bongo Coordinate Charts and inverse of functions. Hello, i have a question about this situation. Let denote $T^2=S^1 \times S^1$ the Torus. And let $f:\mathbb{R}^2 \rightarrow T^2$ be the projection defined by $f(x,y)=(e^{i2\...
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http://math.stackexchange.com/questions/137057/is-the-set-of-conditions-for-devaneys-definition-of-chaos-minimal
# Is the set of conditions for Devaney's definition of chaos minimal? I am reading Devaney's definition of chaos. Which says: Let $V$ be a set. $f:V \rightarrow V$ is said to be chaotic on V if 1. $f$ has sensitive dependence on initial conditions 2. $f$ is topologically transitive 3. periodic points are dense in $V$...
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http://quant.stackexchange.com/questions/tagged/risk-models+correlation
Tagged Questions 1answer 209 views What weights should be used when adjusting a correlation matrix to be positive definite? I have a correlation matrix $A$ for an equity market that is not positive definite. Higham (2002) proposes the Alternating Projections Method, minimising the weighted Frobenius norm $||A-X||_W$...
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http://mathinsight.org/function_machine_inverse
# Math Insight • Top • In threads When printing from Firefox, select the SVG renderer in the MathJax contextual menu (right click any math equation) for better printing results ### The function machine inverse #### Suggested background If $f$ is a function, we can represent it by a function machine that can take an...
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http://mathhelpforum.com/calculus/95362-taylor-maclaurin-series.html
# Thread: 1. ## Taylor and Maclaurin series Find the Taylor and Maclaurin series of the given function with the given point $z_0$ as center and determine the radius of convergence. $e^{\frac{z^2}{2}}\int e^{-t^2} dt$ By the way, integrate from 0 to z and center at $z_0 = 0$ I cannot imagine, how can I solve this. ...
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http://math.stackexchange.com/questions/60538/probability-that-two-poker-hands-have-no-aces/60541
# Probability that two poker hands have no aces The probability of no two hands from the same poker deck having no aces is $$\frac{{48 \choose 5} + {48 \choose 5} - {48 \choose 10}}{{52 \choose 5}}$$ I am not sure why this is the answer, as the second draw is conditional on the first draw so it should be ${43 \choose ...
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http://en.wikibooks.org/wiki/Engineering_Acoustics/Bass_Reflex_Enclosure_Design
# Engineering Acoustics/Bass Reflex Enclosure Design Authors · Print · License Edit this template Part 1: Lumped Acoustical Systems – 1.1 – 1.2 – 1.3 – 1.4 – 1.5 – 1.6 – 1.7 – 1.8 – 1.9 – 1.10 – 1.11 Part 2: One-Dimensional Wave Motion – 2.1 – 2.2 – 2.3 Part 3: Applications – 3.1 – 3.2 – 3.3 – 3.4 – 3.5 – 3.6 – 3.7 –...
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http://mathhelpforum.com/discrete-math/32092-self-contradictory-recursive-problem.html
# Thread: 1. ## self-contradictory recursive problem "Let the barber of Seville shave every man of Seville who does not shave himself. Who shall shave the barber?" So my book says that this is self-contradictory. but how? From my reading of it, it's just that the barber of Seville shaves every man in Seville who do...
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http://physics.stackexchange.com/questions/21044/image-charges-laplace-equation-and-uniqueness-theorem/21068
# Image charges, laplace equation and uniqueness theorem Consider a well-known problem of the electric field generated by a system composed of a point charge in proximity of a large earthed conductor. It is said that the potential due to an image charge satifies all the boundary conditions - it this case, constant pot...
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http://medlibrary.org/medwiki/Linear_map
Linear map Welcome to MedLibrary.org. For best results, we recommend beginning with the navigation links at the top of the page, which can guide you through our collection of over 14,000 medication labels and package inserts. For additional information on other topics which are not covered by our database of medicatio...
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http://math.stackexchange.com/questions/190656/geometric-proof-that-left-fraci-ziz-right1-for-z-in-mathbbh
Geometric proof that $\left|\frac{i-z}{i+z}\right|<1$ for $z\in \mathbb{H}$ I just read a proof in a complex analysis book that says there exists a biholomorphic (conformal) map between $\mathbb{H}$ and $\mathbb{D}$ and I don't understand one step in the proof, namely the norm of the map (in the title) is less than $1...
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http://mathematica.stackexchange.com/questions/5362/finding-a-fit-to-a-multi-dimensioned-function?answertab=oldest
# Finding a fit to a multi-dimensioned function I have a model function $f:\mathbb{R}^2\rightarrow\mathbb{R}^2$, and a bunch of data points for which I'd like Mathematica to fit for me. Unfortunately `FindFit` seems to only deal with functions $\mathbb{R}^n\rightarrow\mathbb{R}$. I guess I could make my own square dif...
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http://physics.stackexchange.com/questions/tagged/quantum-mechanics+research-level
# Tagged Questions 1answer 32 views ### Name of a state with $d-1$ excitations, distributed uniformly among $n$ qudits Is there a particular name for a quantum state of the form (up to the normalization): $$\sum_{i_1+\ldots+i_n = d-1} |i_1\rangle |i_2\rangle \ldots |i_n\rangle$$ or was it studied is some papers? ......
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http://mathoverflow.net/revisions/31637/list
## Return to Answer 3 pedantic TeX correction Since I could use the reputation... letting $\psi: G \to Diff(M)$ \operatorname{Diff}(M)$be the action then$X' = \psi_* X$, where we identify$Lie(Diff(M))$\operatorname{Lie}(\operatorname{Diff}(M))$ with vector fields on $M$. This is because they both correspond to the on...
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http://mathoverflow.net/revisions/107938/list
## Return to Question 2 added 8 characters in body A number of sources concerning Speiser's 1934 result state that the Riemann Hypothesis (RH) implies $\zeta'(s)\neq 0$ for all $0<\text{Re}(s)<1/2$. But I have seen some (possibly less reliable) sources without proof suggesting this is an if and only if relationship, ...
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http://math.stackexchange.com/questions/tagged/convergence+calculus
# Tagged Questions 2answers 33 views ### Checking $\displaystyle \int_{0}^{\infty} {\frac{\sin^2x}{\sqrt[3]{x^7 + 1}} dx}$ for convergence Given $\displaystyle\int_{0}^{\infty} {\frac{\sin^2x}{\sqrt[3]{x^7 + 1}} dx}$, prove that it converges. So of course, I said: We have to calculate \$\displaystyle \lim_{b \to \in...
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http://cs.stackexchange.com/questions/tagged/linear-algebra
# Tagged Questions The linear-algebra tag has no wiki summary. 0answers 38 views ### how to represent Sparse Matrices I have been using Harwell Boeing format, also known as Compressed Column Strorage (CCS) in order to store Sparse Matrices. Could you please suggest me some other way to store/represent sparse ... 2a...
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http://en.wikisource.org/wiki/On_General_Relativity
# On General Relativity From Wikisource On General Relativity  (1918)  by Harry Bateman Philosophical Magazine 6, 37 (218), 219-229, Online On General Relativity Harry Bateman 1918 On General Relativity. To the Editors of the Philosophical Magazine. Gentlemen,— THE appearance of Dr. Silberstein's recent articl...
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http://math.stackexchange.com/questions/177125/holomorphic-function-on-the-complex-plane?answertab=votes
# holomorphic function on the complex plane let $f(z) \in Hol(\mathbb{C})$ holomorphic function such that for each $z_0 \in \mathbb{C}$ there exists $N(z_0)$ such that $f^{(N(z_0))}(z_0) = 0$ Prove: that f is a polynom - ## 2 Answers Modifying Davide's argument but avoiding Baire's category theorem: Let $\overline{...
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http://quant.stackexchange.com/questions/2148/how-to-detect-regime-change-when-estimating-asset-correlation-from-historical-ti?answertab=votes
# How to detect regime change when estimating asset correlation from historical time series? Suppose I have two asset time series, $X_t$ and $Y_t$, and I'm estimating their correlation from historical data. I'd like to apply some systematic criterion to estimate what time window I should use to estimate the correlatio...
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http://www.physicsforums.com/showthread.php?t=514850
Physics Forums ## Diagonalization 1. The problem statement, all variables and given/known data I think my teacher made a mistake in his homework answer. I need to verify this for practice. The answer I got is below. The answer the teacher has is in the pdf. 2. Relevant equations 3. The attempt at a solution So th...
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http://math.stackexchange.com/questions/292533/convergent-or-divergent
# Convergent or Divergent Determine if the series converges or diverges: $$\sum_{n=1}^\infty \frac{\ln(n)}{n \left|\sin(n)\right|} =$$ We know that $$\sum_{n=1}^\infty \frac{1}i = \text{Divergent}$$ $$\sum_{n=1}^1 \ln(i )= 0$$ How to solve this? - 1 you need to remove 1 from right hand side of first eq. The othe...
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http://math.stackexchange.com/questions/139549/how-to-show-path-connectedness
# How to show path-connectedness Well, I am not getting any hint how to show $GL_n(\mathbb{C})$ is path connected. So far I have thought that let $A$ be any invertible complex matrix and $I$ be the idenity matrix, I was trying to show a path from $A$ to $I$ then define $f(t)=At+(1-t)I$ for $t\in[0,1]$ which is possibl...
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