Basic instruction can be performed in one unit of

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Unformatted text preview: can be performed in one unit of time. running time is equivalent to the number of operations required. We will study function f(n) that is asymptotically positive, i.e., f(n)>0 for n large enough. 3 Guoliang.Xue@asu.edu Counting Techniques and Proof by Induction 1+2+3+4+...+n=? 12+22+32+...+n2=? 1+1/2+1/4+1/8+...+(1/2)n=? 1+1/2+1/3+1/4+...+1/n=? 4 Guoliang.Xue@asu.edu Big Oh And Big Omega Notations O(g(n)) = { f(n): ∃ constants c and N s.t. f(n) ≤ c• g(n) for n ≥ N }. We also write f(n)=O(g(n...
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This note was uploaded on 12/27/2013 for the course CSE 310 taught by Professor Davulcu,h during the Fall '08 term at ASU.

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