Unformatted text preview: or if the indicated operation cannot be performed. a Repeating decimal 0 . 3 12 equals n d , where posints n ⊥ d are n = ............... and d = ............... . b An explicit bijection F : N × N , ± [ 4 .. ∞ ) is F ( n,k ) := ....................................... . c Let P ∞ denote the collection of all inﬁnite subsets of N . Deﬁne a relation ≈ on P ∞ by: A ≈ B IFF A ∩ B is inﬁnite. Stmt “ Relation ≈ is transitive ” is: T F d Each three sets Ω ,B,C engender a natural bijection, Θ : Ω B × C , ± [Ω B ] C . deﬁned, for each f ∈ Ω B × C , by Θ( f ) := h c 7→ [ ................................... ] i . Its inversemap Υ : [Ω B ] C , ± Ω B × C has, for g ∈ [Ω B ] C , Υ( g ) := h ( b,c ) 7→ [ ............................... ] i . End of ClassW W1: 75pts W2: 60pts W3: 110pts Total: 245pts...
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 Fall '09
 LARSON
 Rational number, ........, Bijection

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