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Analysis 1.9

# Analysis 1.9 - Definition of Theta f(n =(g(n c1 c2,n0 > 0 n...

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Last Updated: 10/01/12 5:45 AM CSE 2011 Prof. J. Elder - 41 - Definition of Theta f(n) is sandwiched between c 1 g(n) and c 2 g(n) for some sufficiently small c 1 (= 0.0001) for some sufficiently large c 2 (= 1000) f(n) = θ (g(n)) > ∀ ≥ , 1 2 0 0 1 2 , 0 : , ( ) ( ) ( ) c c n n n c g n f n c g n

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Last Updated: 10/01/12 5:45 AM CSE 2011 Prof. J. Elder - 42 - Definition of Theta For all sufficiently large n f(n) = θ (g(n)) > ∀ ≥ ,, 1 2 0 0 1 2 0 : , ( ) ( ) ( ) c c n n n c g n f n c g n
Last Updated: 10/01/12 5:45 AM CSE 2011 Prof. J. Elder - 43 - Definition of Theta For all sufficiently large n For some definition of “sufficiently large”

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Analysis 1.9 - Definition of Theta f(n =(g(n c1 c2,n0 > 0 n...

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