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#1 2009-08-06 01:46:21

JaneFairfax
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Gelfond–Schneider theorem



smile

http://z8.invisionfree.com/DYK/index.php?showtopic=858

Last edited by JaneFairfax (2009-08-06 02:18:58)


Q: Who wrote the novels Mrs Dalloway and To the Lighthouse?

A: Click here for answer.
 

#2 2009-08-06 01:58:35

bobbym
Administrator

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Re: Gelfond–Schneider theorem

Hi Jane;

I've seen this one. But maybe I didn't understand it. I thought b had to be irrational and algebraic.

Used to establish that the (gelfond schneider constant)



is transcendental.

Last edited by bobbym (2009-08-06 02:08:37)


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.
 

#3 2009-08-06 02:18:44

JaneFairfax
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Re: Gelfond–Schneider theorem


True,
has to be algebraic as well.

According to the theorem, the number
is transcendental! eek


Q: Who wrote the novels Mrs Dalloway and To the Lighthouse?

A: Click here for answer.
 

#4 2009-08-06 02:26:53

bobbym
Administrator

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Re: Gelfond–Schneider theorem

Hi Jane;

Thats a stunner! I didn't think about that one. Thanks.

By the way that proof he presents is really tough.

Last edited by bobbym (2009-08-06 09:06:36)


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.
 

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