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<math>Insert formula here</math><math>Insert formula here</math>[[Image:Classnotes For Tuesday, September 15.jpg]] |
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The real numbers A set <math>\mathbb R</math> with two binary operators and two special elements <math>0, 1 \in \mathbb R</math> s.t. |
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The real numbers A set <math>\mathbb R</math> with two binary operators and two special elements <math>0, 1 \in \mathbb R</math> s.t. |
Revision as of 21:24, 15 September 2009
The real numbers A set with two binary operators and two special elements s.t.
- Note: or means inclusive or in math.
Definition: A field is a set F with two binary operators : F×F → F, : F×F → F and two elements s.t.
Examples
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- is not a field (counterexample)
Theorem: for is a field IFF is a prime number
Tedious Theorem
- "cancellation property"
...