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Re: Was solving the Poincare's conjecture a big deal?
Posted:
Sep 6, 2006 6:12 PM
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Pubkeybreaker wrote:
> porky_pig_jr@my-deja.com wrote: > >>Richard Henry wrote: >> >> >>>What I heard was cutting out the middle removed the undercooked part, >>>when donuts were deep-fried in lard. >> >>Speaking of cutting out the middle. If I start with a sphere, and >>somehow removed the 'inner sphere', > > > What "inner sphere". I think you are confusing "sphere" with "ball". > A unit sphere (in E_n) has the equation x_1^2 + x_2^2 + ... + x_n^2 > = 1. > It does NOT include its interior. To include the interior you need: > x_1^2 + x_2^2 + ... + x_n^2 < = 1. (note the inequality) > > > >>the resulting solid > > > There is no solid. A sphere is an n-dimensional SURFACE. >
Balls!
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