3.1-8 We can extend our notation to the case of two parameters n and m that can go to infinity independently at different rates. For a given function g(n, m), we denote by O(g(n,m)) the set of functions O(g(n,m)) = {f(n, m): there exist positive constants c, no, and mo such that 0 ≤ f(n,m) ≤ cg(n,m) for all n ≥ no or m≥ mo}. Give corresponding definitions for (g(n, m)) and (g(n, m)).

3.1-8 We can extend our notation to the case of two parameters n and m that can go to infinity independently at different rates. For a given function g(n, m), we denote by O(g(n,m)) the set of functions O(g(n,m)) = {f(n, m): there exist positive constants c, no, and mo such that 0 ≤ f(n,m) ≤ cg(n,m) for all n ≥ no or m≥ mo}. Give corresponding definitions for (g(n, m)) and (g(n, m)).

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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Topological Sort

Topological sort is a sorting technique that sets up a hierarchy in a process. In this technique, when a directed network has nodes connected by arrows, the root node is placed before the successor node.

Question

3.1-8
We can extend our notation to the case of two parameters n and m that can go to
infinity independently at different rates. For a given function g(n, m), we denote
by O(g(n, m)) the set of functions
O(g(n,m)) = {f(n,m): there exist positive constants c, no, and mo
such that 0≤ f(n,m) ≤ cg(n,m)
for all n ≥ no or m≥ mo}.
Give corresponding definitions for (g(n, m)) and (g(n, m)).

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