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Let A and B_j be sets. Conditional probability requires that P(A intersection B_j)=P(A)P(B_j|A), (1) where intersection denotes intersection ("and"), and also that P(A ...

A

**theorem**is a statement that can be demonstrated to be true by accepted mathematical operations and arguments. In general, a**theorem**is an embodiment of some general ...The converse of Fisher's

**theorem**.There are several theorems that generally are known by the generic name "Pappus's

**Theorem**." They include Pappus's centroid**theorem**, the Pappus chain, Pappus's harmonic ...Qualitatively, a deep

**theorem**is a**theorem**whose proof is long, complicated, difficult, or appears to involve branches of mathematics which are not obviously related to the ...The reciprocity

**theorem**for x^8=q (mod p).There are so many theorems due to Fermat that the term "Fermat's theorem" is best avoided unless augmented by a description of which

**theorem**of Fermat is under discussion. ...R^n is homeomorphic to R^m iff n=m. This

**theorem**was first proved by Brouwer.The two-dimensional version of the ham sandwich

**theorem**.The Diophantine equation x^2+y^2=p can be solved for p a prime iff p=1 (mod 4) or p=2. The representation is unique except for changes of sign or rearrangements of x and y. ...

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