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UBA - CienciaS • Ver Tema - Parte entera y principio de Arquímedes
UBACS Q&A Foro WikiCS
Fecha actual 27 Jun 2022, 01:44

Todos los horarios son UTC - 3 horas




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 Asunto: Parte entera y principio de Arquímedes
NotaPublicado: 06 Sep 2009, 21:38 
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Registrado: 18 Feb 2009, 10:47
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Si defino a la parte entera de un número como , quiero ver que existe. Con lo cual voy a ver que tiene máximo, léase, ver que tiene supremo y está dentro del conjunto.
La pregunta es.... por qué ese conjunto no es vacío?. Es evidente que siempre tengo un entero más chico o igual que cualquier real, pero no lo veo claro aplicando Arquímedes, o sea, que
Algún tip?


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 Asunto: Re: Parte entera y principio de Arquímedes
NotaPublicado: 06 Sep 2009, 22:06 
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Registrado: 17 May 2008, 23:04
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Para ver que es no vacío, fijate que tomando , como los naturales no están acotados, existe natural tal que . Resulta que y en particular, verifica que está en el conjunto que vos indicás.



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 Asunto: Re: Parte entera y principio de Arquímedes
NotaPublicado: 06 Sep 2009, 22:41 
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Registrado: 18 Feb 2009, 10:47
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Mil gracias.


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