solve: by xFy if and only if x – y is an integer. Prove that F is an equivalencerelation on R. Assume F is a relation on the set R of real numbers defined

Assume, on the set of integers Z, a relation F is defined as; xFy iff (x-y) is an even number. For…

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by xFy if and only if x – y is an integer. Prove that F is an equivalence relation on R. |

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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Concept explainers

Modular linear equation

Modular arithmetic is a system of arithmetic for integers, whose values reset to zero and begin to increase again, after reaching a certain predefined value, called the modulus (modulo). Modular arithmetic is widely used in computer science and cryptography.

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by xFy if and only if x – y is an integer. Prove that F is an equivalence
relation on R.

Assume F is a relation on the set R of real numbers defined

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