Theory Applications Of Finit
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Finite Fields Theory Applications And Algorithms
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Author : Gary L. Mullen
language : en
Publisher: American Mathematical Soc.
Release Date : 1994
Finite Fields Theory Applications And Algorithms written by Gary L. Mullen and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Mathematics categories.
Because of their applications in so many diverse areas, finite fields continue to play increasingly important roles in various branches of modern mathematics, including number theory, algebra, and algebraic geometry, as well as in computer science, information theory, statistics, and engineering. Computational and algorithmic aspects of finite field problems also continue to grow in importance. This volume contains the refereed proceedings of a conference entitled Finite Fields: Theory, Applications and Algorithms, held in August 1993 at the University of Nevada at Las Vegas. Among the topics treated are theoretical aspects of finite fields, coding theory, cryptology, combinatorial design theory, and algorithms related to finite fields. Also included is a list of open problems and conjectures. This volume is an excellent reference for applied and research mathematicians as well as specialists and graduate students in information theory, computer science, and electrical engineering.
Fields Everywhere
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Author : Pasquale De Marco
language : en
Publisher: Pasquale De Marco
Release Date :
Fields Everywhere written by Pasquale De Marco and has been published by Pasquale De Marco this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
Embark on an intellectual odyssey through the captivating world of fields, the fundamental building blocks of modern mathematics. Fields Everywhere invites you to explore the intricate beauty and profound significance of these abstract structures, delving into their applications across a vast spectrum of disciplines. Within these pages, you'll discover the fundamental properties of fields, unraveling the intricate connections between fields and polynomials, and exploring the groundbreaking Galois theory, a cornerstone of field theory. Through the works of renowned mathematicians like Évariste Galois and Emil Artin, you'll witness the evolution of field theory and its impact on various branches of mathematics. Venturing beyond the theoretical realm, Fields Everywhere unveils the practical applications of fields in diverse disciplines. Witness how fields underpin the integrity of data transmission in coding theory, empower cryptography and error correction in computer science, and serve as indispensable tools in physics, engineering, and mathematics education. This comprehensive guide is meticulously crafted to cater to a wide range of readers, from mathematics enthusiasts seeking a deeper understanding of field theory to students seeking a comprehensive resource for their studies. With its lucid explanations, thought-provoking examples, and insightful historical context, Fields Everywhere illuminates the intricate world of fields, making it accessible to all. As you delve into the chapters of this book, you'll gain a profound appreciation for the elegance, versatility, and far-reaching impact of fields. Discover how these abstract concepts transcend disciplinary boundaries, finding practical applications in diverse fields of study, from coding theory to quantum computing. Fields Everywhere is an indispensable resource for anyone seeking to expand their knowledge of mathematics and explore the captivating world of fields. Its comprehensive coverage, engaging writing style, and wealth of insights make it an invaluable resource for students, researchers, and anyone fascinated by the beauty and power of mathematics. If you like this book, write a review!
Computational Intelligence Theories Applications And Future Directions Volume Ii
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Author : Nishchal K. Verma
language : en
Publisher: Springer
Release Date : 2018-09-01
Computational Intelligence Theories Applications And Future Directions Volume Ii written by Nishchal K. Verma and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-09-01 with Computers categories.
This book presents selected proceedings of ICCI-2017, discussing theories, applications and future directions in the field of computational intelligence (CI). ICCI-2017 brought together international researchers presenting innovative work on self-adaptive systems and methods. This volume covers the current state of the field and explores new, open research directions. The book serves as a guide for readers working to develop and validate real-time problems and related applications using computational intelligence. It focuses on systems that deal with raw data intelligently, generate qualitative information that improves decision-making, and behave as smart systems, making it a valuable resource for researchers and professionals alike.
Intelligent Technologies And Techniques For Pervasive Computing
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Author : Kolomvatsos, Kostas
language : en
Publisher: IGI Global
Release Date : 2013-05-31
Intelligent Technologies And Techniques For Pervasive Computing written by Kolomvatsos, Kostas and has been published by IGI Global this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05-31 with Computers categories.
Pervasive computing enables users to interact with information resources in their everyday lives. The development of computational technologies that can exist in ever smaller devices while simultaneously increasing processing power allows such devices to blend seamlessly into tangible environments. Intelligent Technologies and Techniques for Pervasive Computing provides an extensive discussion of such technologies, theories and practices in an attempt to shed light on current trends and issues in the adaption of pervasive systems. Within its pages, students and practitioners of computer science will find both recent developments and practical applicationsan overview of the field and how intelligent techniques can help to improve user experience in the distribution and consumption of pertinent, timely information. This book is part of the Advances in Computational Intelligence and Robotics series collection.
Rings Modules And Codes
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Author : André Leroy
language : en
Publisher: American Mathematical Soc.
Release Date : 2019-04-12
Rings Modules And Codes written by André Leroy and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-04-12 with Mathematics categories.
This book contains the proceedings of the Fifth International Conference on Noncommutative Rings and their Applications, held from June 12–15, 2017, at the University of Artois, Lens, France. The papers are related to noncommutative rings, covering topics such as: ring theory, with both the elementwise and more structural approaches developed; module theory with popular topics such as automorphism invariance, almost injectivity, ADS, and extending modules; and coding theory, both the theoretical aspects such as the extension theorem and the more applied ones such as Construction A or Reed–Muller codes. Classical topics like enveloping skewfields, weak Hopf algebras, and tropical algebras are also presented.
Research Anthology On Cross Disciplinary Designs And Applications Of Automation
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Author : Management Association, Information Resources
language : en
Publisher: IGI Global
Release Date : 2021-10-29
Research Anthology On Cross Disciplinary Designs And Applications Of Automation written by Management Association, Information Resources and has been published by IGI Global this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-10-29 with Technology & Engineering categories.
Throughout human history, technological advancements have been made for the ease of human labor. With our most recent advancements, it has been the work of scholars to discover ways for machines to take over a large part of this labor and reduce human intervention. These advancements may become essential processes to nearly every industry. It is essential to be knowledgeable about automation so that it may be applied. Research Anthology on Cross-Disciplinary Designs and Applications of Automation is a comprehensive resource on the emerging designs and application of automation. This collection features a number of authors spanning multiple disciplines such as home automation, healthcare automation, government automation, and more. Covering topics such as human-machine interaction, trust calibration, and sensors, this research anthology is an excellent resource for technologists, IT specialists, computer engineers, systems and software engineers, manufacturers, engineers, government officials, professors, students, healthcare administration, managers, CEOs, researchers, and academicians.
Encyclopedia Of Cryptography And Security
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Author : Henk C.A. van Tilborg
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-09-06
Encyclopedia Of Cryptography And Security written by Henk C.A. van Tilborg and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-06 with Computers categories.
This comprehensive encyclopedia provides easy access to information on all aspects of cryptography and security. The work is intended for students, researchers and practitioners who need a quick and authoritative reference to areas like data protection, network security, operating systems security, and more.
Algebraic Geometric Codes Basic Notions
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Author : Michael Tsfasman
language : en
Publisher: American Mathematical Society
Release Date : 2022-04-15
Algebraic Geometric Codes Basic Notions written by Michael Tsfasman and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-04-15 with Mathematics categories.
The book is devoted to the theory of algebraic geometric codes, a subject formed on the border of several domains of mathematics. On one side there are such classical areas as algebraic geometry and number theory; on the other, information transmission theory, combinatorics, finite geometries, dense packings, etc. The authors give a unique perspective on the subject. Whereas most books on coding theory build up coding theory from within, starting from elementary concepts and almost always finishing without reaching a certain depth, this book constantly looks for interpretations that connect coding theory to algebraic geometry and number theory. There are no prerequisites other than a standard algebra graduate course. The first two chapters of the book can serve as an introduction to coding theory and algebraic geometry respectively. Special attention is given to the geometry of curves over finite fields in the third chapter. Finally, in the last chapter the authors explain relations between all of these: the theory of algebraic geometric codes.
Open Problems In Mathematics And Computational Science
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Author : Çetin Kaya Koç
language : en
Publisher: Springer
Release Date : 2015-03-25
Open Problems In Mathematics And Computational Science written by Çetin Kaya Koç and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-03-25 with Computers categories.
This book presents interesting, important unsolved problems in the mathematical and computational sciences. The contributing authors are leading researchers in their fields and they explain outstanding challenges in their domains, first by offering basic definitions, explaining the context, and summarizing related algorithms, theorems, and proofs, and then by suggesting creative solutions. The authors feel a strong motivation to excite deep research and discussion in the mathematical and computational sciences community, and the book will be of value to postgraduate students and researchers in the areas of theoretical computer science, discrete mathematics, engineering, and cryptology.
Recurrence Sequences
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Author : Graham Everest
language : en
Publisher: American Mathematical Soc.
Release Date : 2015-09-03
Recurrence Sequences written by Graham Everest and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-09-03 with Mathematics categories.
Recurrence sequences are of great intrinsic interest and have been a central part of number theory for many years. Moreover, these sequences appear almost everywhere in mathematics and computer science. This book surveys the modern theory of linear recurrence sequences and their generalizations. Particular emphasis is placed on the dramatic impact that sophisticated methods from Diophantine analysis and transcendence theory have had on the subject. Related work on bilinear recurrences and an emerging connection between recurrences and graph theory are covered. Applications and links to other areas of mathematics are described, including combinatorics, dynamical systems and cryptography, and computer science. The book is suitable for researchers interested in number theory, combinatorics, and graph theory.