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Given the functions |logn if n even f (n) = | n³ f2(n) = min {5000 log n² , 00 } otherwise. , 20000 f3(n) = max {50 log log n, log n f4(n) 50 log n 3000 n which of the following claims are correct ? Prove formally your answers. a) f, is O(f2) b) f1 is Q(f2) c) f3 is E(f4) d) f1 is Ω(4)

Given the functions |logn if n even f (n) = | n³ f2(n) = min {5000 log n² , 00 } otherwise. , 20000 f3(n) = max {50 log log n, log n f4(n) 50 log n 3000 n which of the following claims are correct ? Prove formally your answers. a) f, is O(f2) b) f1 is Q(f2) c) f3 is E(f4) d) f1 is Ω(4)

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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Given the functions |logn if n even f (n) = | n³ f2(n) = min {5000 log n² , 00 } otherwise. , 20000 f3(n) = max {50 log log n, log n f4(n) 50 log n 3000 n which of the following claims are correct ? Prove formally your answers. a) f, is O(f2) b) f1 is Q(f2) c) f3 is e(f4 d) fq is Q(f4)
Transcribed Image Text:Given the functions |logn if n even f (n) = | n³ f2(n) = min {5000 log n² , 00 } otherwise. , 20000 f3(n) = max {50 log log n, log n f4(n) 50 log n 3000 n which of the following claims are correct ? Prove formally your answers. a) f, is O(f2) b) f1 is Q(f2) c) f3 is e(f4 d) fq is Q(f4)
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