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#1 2009-08-05 03:46:21

JaneFairfax
Member
Registered: 2007-02-23
Posts: 6,868

Gelfond–Schneider theorem



smile

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

Last edited by JaneFairfax (2009-08-05 04:18:58)

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#2 2009-08-05 03:58:35

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

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 (2009-08-05 04:08:37)


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#3 2009-08-05 04:18:44

JaneFairfax
Member
Registered: 2007-02-23
Posts: 6,868

Re: Gelfond–Schneider theorem


True,
has to be algebraic as well.

According to the theorem, the number

is transcendental! eek

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#4 2009-08-05 04:26:53

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

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 (2009-08-05 11:06:36)


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Offline

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