(1) Show, using either definition, that f(n) = n is O(nlog n). (2) In class, we saw that Big-O multiplies naturally. You will explore this more formally here. Prove the following statement mathematically (i.e. using proof techniques learned in Discrete Math): Proposition: If d(n) is O(f(n)) and e(n) is O(g(n)), then the product d(n)e(n) is O(f(n)g(n)). (3) There is a function void fnE(int i, int num) that runs in 1000-i steps, regardless of what num is. Consider the following code snippet: void fnA(int S[]) { int n = S.length; for (int i=0;i

(1) Show, using either definition, that f(n) = n is O(nlog n). (2) In class, we saw that Big-O multiplies naturally. You will explore this more formally here. Prove the following statement mathematically (i.e. using proof techniques learned in Discrete Math): Proposition: If d(n) is O(f(n)) and e(n) is O(g(n)), then the product d(n)e(n) is O(f(n)g(n)). (3) There is a function void fnE(int i, int num) that runs in 1000-i steps, regardless of what num is. Consider the following code snippet: void fnA(int S[]) { int n = S.length; for (int i=0;i

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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