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by Stale
November 27th, 2006, 5:35 pm
Forum: General Forum
Topic: sigma-algebra
Replies: 443
Views: 105720

sigma-algebra

<t>My knowledge of algebraic numbers are of a tangential fashion so I'm not familiar with the fundamental properties of these (e.g. countability etc.). Either way, in my view it is more natural to think of the real numbers as a union of rational and irrational numbers, and that these are packed so d...
by Stale
November 27th, 2006, 4:15 pm
Forum: General Forum
Topic: sigma-algebra
Replies: 443
Views: 105720

sigma-algebra

<t>torontosimpleguy:To clarify some matters, a definition is appropriate: An algebraic number is a number that is the root of a polynomial with integer coefficients. This implies, for example, that the square root of 2 is algebraic, and so the irrational numbers must be at least partially contained ...
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