Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ π -¹ ² ³ °

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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: 104,285

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.** **A number by itself is useful, but it is far more useful to know how accurate or certain that number is.**

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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: 104,285

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.** **A number by itself is useful, but it is far more useful to know how accurate or certain that number is.**

**Online**

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