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

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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Question

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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