Ω

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Royal
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Ω

Post by Royal » Fri Mar 02, 2012 7:39 am

Omega (Ω) is a well defined irrational number between 0 and 1. For most computers, Omega is close to a value of 1 because a completely random program is likely to instruct a computer to do something impossible.

Ω digit sequence is patternless.

Ω is definable but utterly incalculable. in that it has infinitely many digits.

The features of Ω have vast mathematical implication and place fundamental limits on what we can know.


David Darling says that the properties of Ω show solvable problems "form a tiny archipelago in a vast ocean of undecidability." According to Marcus Chown, Ω "reveals that mathematics... is mostly made of gaping holes. Anarchy... is at the heart of the universe." :shock:



Ω and its properties show that solvable problems "form a tiny archipelago in a vast ocean of undecidability."

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Pigeon
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Re: Ω

Post by Pigeon » Fri Mar 02, 2012 5:46 pm

0.5671432904097838729999686622103555497538157871865125081351310791186821860603316386418037063490254538077375
7807516825805267767102176872019047786560057916365319936454603076753022511993394673457440338486

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Royal
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Re: Ω

Post by Royal » Sat Mar 03, 2012 2:40 am

Image

Yes!

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Pigeon
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Re: Ω

Post by Pigeon » Sat Mar 03, 2012 2:46 am

What is the value of the omega constant on a planet near the star Omega Ceti? :)

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Royal
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Re: Ω

Post by Royal » Sat Mar 03, 2012 3:02 am

Image

When I get there I will tell you!

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Royal
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Re: Ω

Post by Royal » Fri Aug 03, 2012 2:30 am

Is this applicable to strange loops?

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Pigeon
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Re: Ω

Post by Pigeon » Fri Aug 03, 2012 3:54 am

I guess if one looks at the decimals in the value one might think so.

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