The Master Theorem - Marquette University...master theorem does not apply Examples T(n) = 2T(n/2)+n nlog 2 2 = n = f(n) Case 2 T(n) = Θ(nlogn) Examples T(n) = 3T(n/2)+n log 2 3 =
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C n H m + (n+ )O 2(g) n CO 2(g) + H 2 O (g)
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The Substitution method T(n) = 2T(n/2) + cn Guess:T(n) = O(n log n) Proof by Mathematical Induction: Prove that T(n) d n log n for d>0 T(n) 2(d n/2.
INFINITE SERIES...C3 22! nn − n. Therefore, the coefficient of x2 in the whole series is 22 2 2 nnC3 2 n n! ∞ − = ∑ = ( ) 2 2 13 2! n n nn n ∞ − = ∑ − = –2 2 3 2
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