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Assignment - Homework 2

# Assignment - Homework 2 - MA2312 Spring 2010 Homework 2...

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MA2312 Spring 2010 Homework 2 John Iacono January 28, 2010 Read sections 1.1-1.7. 1. For each of these expressions, tell me in the simplest way possible what they evaluate to. For example, if the question is 2+2, you should respond 4, and not 1 + 3, 2 + 2, or 4. If the expression makes no sense, answer “Doesn’t make sense.” Some of this is a review of some math you should know. (i) { 1 , 2 , 3 } = { 3 , 2 , 1 } (ii) |{ 1 , 2 , 4 }| (iii) ∅ ∈ { 1 , 2 , 4 } (iv) 1 ∈ { 1 , 2 , 4 } (v) ∅ ∈ { 1 , 2 , 4 } (vi) { 1 } ∈ { 1 , 2 , 4 } (vii) 1 ⊆ { 1 , 2 , 4 } (viii) { 1 } ⊆ { 1 , 2 , 4 } (ix) { a, b, c } ∪ { b, d } (x) { a, b, c } ∩ { b, d } (xi) { a, b, c } - { b, d } (xii) { a, b } × { 1 , 2 } (xiii) 2 × 8 (xiv) { a, b } × ∅ (xv) { a, b } × {∅} (xvi) 2 { 1 } (Your book writes this as P ( { 1 } )) (xvii) 2 { 1 } × 2 { 2 } (xviii) 2 1 1

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(xix) 2 1 × 2 2 (xx) log 256 1 65536 (xxi) d 22 7 e (xxii) b 22 7 c (xxiii) d 2 e (xxiv) b 2 c (xxv) 34 mod 5 (xxvi) 34 | 5 (xxvii) 5! (xxviii) 5 i =0 i (xxix) 5 i =0 1 (xxx) 5 i =0 x (xxxi) Q 500 i =0 i (xxxii) S 3 i =1 { 2 i } (xxxiii) W 3 i =1 { 2 i = 4 } (xxxiv) z ∈ { x | f ( x ) } , where f ( x ) is a predicate (xxxv) x [log c x = log 2 x log 2 c ] (xxxvi) x [ x is odd x is seven] (xxxvii) x [ x is seven
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Assignment - Homework 2 - MA2312 Spring 2010 Homework 2...

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