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portada Restricted Congruences in Computing
Type
Physical Book
Publisher
Author
Year
2020
Language
English
Pages
157
Format
Hardcover
ISBN13
9780367496036
Edition No.
1
Categories

Restricted Congruences in Computing

Khodakhast Bibak (Author) · Crc Press · Hardcover

Restricted Congruences in Computing - Khodakhast Bibak

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Synopsis "Restricted Congruences in Computing "

Congruences are ubiquitous in computer science, engineering, mathematics, and related areas. Developing techniques for finding (the number of) solutions of congruences is an important problem. But there are many scenarios in which we are interested in only a subset of the solutions; in other words, there are some restrictions. What do we know about these restricted congruences, their solutions, and applications? This book introduces the tools that are needed when working on restricted congruences and then systematically studies a variety of restricted congruences. Restricted Congruences in Computing defines several types of restricted congruence, obtains explicit formulae for the number of their solutions using a wide range of tools and techniques, and discusses their applications in cryptography, information security, information theory, coding theory, string theory, quantum field theory, parallel computing, artificial intelligence, computational biology, discrete mathematics, number theory, and more.This is the first book devoted to restricted congruences and their applications. It will be of interest to graduate students and researchers across computer science, electrical engineering, and mathematics.

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