Entao da uma traduçao decente!Se nem eles dizem American Math Olympiad, por que nos deveriamos dizer?A nao ser que realmente exista uma olimpiada Interamericana...
Daniel Silva Braz <dsbraz@yahoo.com.br> wrote:
Acho q não hein...
USAMO = United States of America Mathematical Olympiad
Daniel S. Braz
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--- Johann Peter Gustav Lejeune Dirichlet escreveu: > Nossa, tem uma olimpiada na qual participam todas as > Americas???!!!! > > Daniel Silva Braz > wrote:Pessoal, > Problemas da olimpíadas americana... > > 1. Let S be a set with 2002 elements, and let N be > an > integer with 0 · N · 22002. Prove > that it is possible to color every subset of S > either > black or white so that the following > conditions hold: > (a) the union of any two white subsets is white; > (b) the union of any two black subsets is black; > (c) there are exactly N white subsets. > > 2. Let ABC
be a triangle such that > > (cot A/2)^2 + (2cot A/2)^2 + (3cot A/2)^2 = > (6s/7r)^2 > > where s and r denote its semiperimeter and its > inradius, respectively. Prove that > triangle ABC is similar to a triangle T whose side > lengths are all positive integers with > no common divisor and determine these integers. > > 3. Prove that any monic polynomial (a polynomial > with > leading coefficient 1) of degree n > with real coefficients is the average of two monic > polynomials of degree n with n real > roots. > > Daniel Silva Braz > > ______________________________________________________________________ > > Yahoo! Messenger - Fale com seus amigos online. > Instale agora! > http://br.download.yahoo.com/messenger/ > ========================================================================= > Instruções para entrar na
lista, sair da lista e > usar a lista em > http://www.mat.puc-rio.br/~nicolau/olimp/obm-l.html > ========================================================================= > > > > TRANSIRE SVVM PECTVS MVNDOQVE POTIRI > > CONGREGATI EX TOTO ORBE MATHEMATICI OB SCRIPTA > INSIGNIA TRIBVERE > > Fields Medal(John Charles Fields) > > > > > > --------------------------------- > Yahoo! Messenger - Fale com seus amigos online. > Instale agora!
Yahoo! Messenger - Fale com seus amigos online. Instale agora! http://br.download.yahoo.com/messenger/ ========================================================================= Instruções para entrar na lista, sair da lista e usar a lista
em http://www.mat.puc-rio.br/~nicolau/olimp/obm-l.html =========================================================================
TRANSIRE SVVM PECTVS MVNDOQVE POTIRI
CONGREGATI EX TOTO ORBE MATHEMATICI OB SCRIPTA INSIGNIA TRIBVERE