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

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

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

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,238

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)*

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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

True, has to be algebraic as well.

According to the theorem, the number

is transcendental!Offline

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,238

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)*

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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