13. Are the statements below true or false? Provide reasoning.(a) For two functions f(n) and g(n), if f(n) = O(g(n)) then g(n) = N(ƒ(n)).(b) For positive valued functions g and h, if f(n) = O(g(n)) and g(n) = O(h(n)), then f(n) = O(h(n)).(c) If g₁(n) = O(f(n)) and 92(n) = O(f(n)), then 9₁ +92 = O(f(n)).(d) If gi(n) = O(fi(n)) and g2(n) = O(f2(n)), then g₁ × 92 = O(fi(n) × f2(n)).(e) Functions f(n) = loga n and g(n) = log, n, where a and b are positive constants, grow at the samerate.

As per our company guidelines we are supposed to answer only first 3 bits. Kindly repost other bits…

(a) For two functions f(n) and g(n), if f(n) = O(g(n)) then g(n) = N(f(n)). (b) For positive valued functions g and h, if f(n) = O(g(n)) and g(n) = O(h(n)), then f(n) = O(h(n)). (c) If gi(n) = O(f(n)) and 9₂(n) = O(f(n)), then g₁ +92 = O(f(n)).

(a) For two functions f(n) and g(n), if f(n) = O(g(n)) then g(n) = N(f(n)). (b) For positive valued functions g and h, if f(n) = O(g(n)) and g(n) = O(h(n)), then f(n) = O(h(n)). (c) If gi(n) = O(f(n)) and 9₂(n) = O(f(n)), then g₁ +92 = O(f(n)).

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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