Math
in [Science]
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Rueckgrat von Wirklichkeit "Marko Amnell" <marko.amnell(a)kolumbus.fi> wrote in message 37d04746-9212-4504-8bb6-4fa1246d510e(a)a30g2000yqn.googlegroups.com... On page 604 of Thomas Pynchon's novel _Against the Day_, the beautiful Yashmeen Halfcourt asks David Hilbert about the Hilbert-Polya Conjecture. Yashmeen asks Hilbert if the ... 23 Jul 2010 16:56
Convexity of matrix operation Hello, Does anybody know if the log of the determinant of a matrix is concave in its matrix arguments ? That is, if 0< a < 1 log Det(a X_1 + (1-a) X_2 ) >= a log det(X_1) + (1-a) log det(X_2) Thanks, -fj ... 22 Jul 2010 15:49
Generalization of Fermat's Little Theorem! Briefly stated: IFF gcd( s( N, N - 1 ) mod s( N, 1 ), N ) = 1 then N is either a prime or a Carmichael number, where s( N, E ) denotes the sum of powers function (eg: 1^E + 2^E ... + N^E). ... 21 Jul 2010 20:14
"the wronging of Mr. Devlin" by Hardy/Woodgold/Davis in Mathematical Intelligencer and convoluted math writing #4.03 Correcting Math For the life of me, I do not know why writing a date time on most journals articles is too cumbersome. They seem to put in big print the names of authors and associates but when someone wants a date of "Prime Simplicity" of Mathematical Intelligencer, (MI) one has to hunt around. Something more for Chandler Davis... 21 Jul 2010 16:56
"the wronging of Mr. Devlin" by Hardy/Woodgold/Davis in Mathematical Intelligencer and convoluted math writing #4.03 Correcting Math For the life of me, I do not know why writing a date time on most journals articles is too cumbersome. They seem to put in big print the names of authors and associates but when someone wants a date of "Prime Simplicity" of Mathematical Intelligencer, (MI) one has to hunt around. Something more for Chandler Davis... 21 Jul 2010 21:19
geometry question on chords Why is the chord of a 40 degree angle ALWAYS less than double the chord of a 20 degree angle? ... 22 Jul 2010 04:52
Clash between mathenv and ntheorem Hi all, Please consider this file: \documentclass{article} \usepackage[thmmarks]{ntheorem} \usepackage{mathenv} \theorembodyfont{\upshape} \theoremstyle{nonumberplain} \theoremseparator{:} \theoremindent0cm \theoremsymbol{\rule{0.5em}{0.5em}} \newtheorem{dem}{Proof} \begin{document} \begin{dem} Somethi... 21 Jul 2010 14:44
Efficient calculation of Faulhaber's formula (sum of powers)? First of all, I'm not a mathematician, but a computer programmer, and as such I'm having a difficult time extrapolating the math to code. What I'm actually trying to do is efficiently calculate Faulhaber(N, E) modulo M, where N, E, and M can be arbitrarily large, or at least Faulhaber(N, E) (the modulo operation co... 21 Jul 2010 13:34
Geometric problem Hi all, Let P, P_1 and P_2 be three non-collinear points of the plane such that the angle P_1-P-P_2 is acute. Let Q_1 be the orthogonal projection of P_1 on the line defined by P and P_2 and let Q_2 be the orthogonal projection of P_2 on the line defined by P and P_1. Problem: to prove that Q_1 belongs to the li... 21 Jul 2010 20:14
about analytic functions Is following statement true -- If f:C-->C is analytic bijective function with analytic inverse then f is of the form f(z) = az + b (C is set of complex numbers and a, b are constants and a is nonzero). If it is true then can anyone suggest some proof. ... 22 Jul 2010 11:25 |