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8 Pages

### hw1_solution

Course: ECE 771, Fall 2008
School: BYU
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Word Count: 3057

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Math 1. Review 1.1a: Proof that f 1 [ B ] = f 1 [B ]. Proof. Assume x f 1 [ B ] then by denition f (x) B such that y = f (x) . This value of f (x) must therefore be in at least one of the sets, B , call this set B0 . Thus, x f 1 [B0 ] and therefore, x 1 [B ] . We have just shown that f 1 [ B ] f 1 [B ] . Conversely, assume that x f 1 [B ] , f then there is some (call it 0 ) for which x f 1 [B0 ]...

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