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Re: [obm-l] Provar que f eh periodica

To: obm-l@xxxxxxxxxxxxxx
Subject: Re: [obm-l] Provar que f eh periodica
From: "saulo nilson" <saulo.nilson@xxxxxxxxx>
Date: Fri, 22 Jun 2007 13:38:00 -0300
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f(x+p)=f(x)

entao

2f(x)^2=1

f(x)=+-1/rq2, funçao constante.

On 6/15/07, Artur Costa Steiner <artur.steiner@mme.gov.br> wrote:

Este aqui parece bonito, ainda nao consegui resolver.

Seja f:R-> R para a qual exista p> 0 tal que [f(x + p)]^2 = 1 - [f(x)]^2 para todo real x. Mostre que f eh periodica e determine seu periodo fundamental.

Artur

References:
- [obm-l] Re: determinantes
  - From: rgc
- [obm-l] Provar que f eh periodica
  - From: Artur Costa Steiner

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