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Consider the function f : N × N → N given by f(m, n) = 2m-1(2n − 1), (m, n) ∈ N × N Show that f is bijective

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

Consider the function f : N × N → N given by
f(m, n) = 2^m-1(2n − 1), (m, n) ∈ N × N
Show that f is bijective

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