Data Structures and Algorithms in Java
Data Structures and Algorithms in Java
6th Edition
ISBN: 9781118771334
Author: Michael T. Goodrich
Publisher: WILEY
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Chapter 4, Problem 50C

Consider the Fibonacci function, F(n) (see Proposition 4.20). Show by induction that F(n) is Ω((3/2)n).

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Let f (n) and g(n) be functions with domain {1, 2, 3, . . .}. Prove the following: If f(n) = O(g(n)), then g(n) = Ω(f(n)).
Let f (f(n) and g(n)) be asymptotically nonnegative functions. Using the basic definition of Θ notation, prove that max(f(n), g(n)) = Θ(f(n) + g(n)),
we are assuming  f(n) and g(n) are asymptotically positive functions. Prove/ disproveeach of the following.

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