Algebraic Geometry Modeling In Information Theory


Algebraic Geometry Modeling In Information Theory
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Algebraic Geometry Modeling In Information Theory


Algebraic Geometry Modeling In Information Theory
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Author : Edgar Martinez-Moro
language : en
Publisher: World Scientific
Release Date : 2013

Algebraic Geometry Modeling In Information Theory written by Edgar Martinez-Moro and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with Computers categories.


Algebraic & geometry methods have constituted a basic background and tool for people working on classic block coding theory and cryptography. Nowadays, new paradigms on coding theory and cryptography have arisen such as: Network coding, S-Boxes, APN Functions, Steganography and decoding by linear programming. Again understanding the underlying procedure and symmetry of these topics needs a whole bunch of non trivial knowledge of algebra and geometry that will be used to both, evaluate those methods and search for new codes and cryptographic applications. This book shows those methods in a self-contained form.



Stochastic Models Information Theory And Lie Groups Volume 1


Stochastic Models Information Theory And Lie Groups Volume 1
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Author : Gregory S. Chirikjian
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-09-02

Stochastic Models Information Theory And Lie Groups Volume 1 written by Gregory S. Chirikjian 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 2009-09-02 with Mathematics categories.


This unique two-volume set presents the subjects of stochastic processes, information theory, and Lie groups in a unified setting, thereby building bridges between fields that are rarely studied by the same people. Unlike the many excellent formal treatments available for each of these subjects individually, the emphasis in both of these volumes is on the use of stochastic, geometric, and group-theoretic concepts in the modeling of physical phenomena. Stochastic Models, Information Theory, and Lie Groups will be of interest to advanced undergraduate and graduate students, researchers, and practitioners working in applied mathematics, the physical sciences, and engineering. Extensive exercises and motivating examples make the work suitable as a textbook for use in courses that emphasize applied stochastic processes or differential geometry.



Advances In Algebraic Geometry Codes


Advances In Algebraic Geometry Codes
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Author : Edgar Martinez-Moro
language : en
Publisher: World Scientific
Release Date : 2008

Advances In Algebraic Geometry Codes written by Edgar Martinez-Moro and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Computers categories.


Advances in Algebraic Geometry Codes presents the most successful applications of algebraic geometry to the field of error-correcting codes, which are used in the industry when one sends information through a noisy channel. The noise in a channel is the corruption of a part of the information due to either interferences in the telecommunications or degradation of the information-storing support (for instance, compact disc). An error-correcting code thus adds extra information to the message to be transmitted with the aim of recovering the sent information. With contributions from renowned researchers, this pioneering book will be of value to mathematicians, computer scientists, and engineers in information theory.



Algebraic Geometry And Geometric Modeling


Algebraic Geometry And Geometric Modeling
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Author : Mohamed Elkadi
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-11-02

Algebraic Geometry And Geometric Modeling written by Mohamed Elkadi 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 2006-11-02 with Mathematics categories.


This book spans the distance between algebraic descriptions of geometric objects and the rendering of digital geometric shapes based on algebraic models. These contrasting points of view inspire a thorough analysis of the key challenges and how they are met. The articles focus on important classes of problems: implicitization, classification, and intersection. Combining illustrative graphics, computations and review articles this book helps the reader gain a firm practical grasp of these subjects.



Algebraic Geometry Modeling In Information Theory


Algebraic Geometry Modeling In Information Theory
DOWNLOAD

Author : Edgar Martinez-Moro
language : en
Publisher: World Scientific
Release Date : 2013

Algebraic Geometry Modeling In Information Theory written by Edgar Martinez-Moro and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with Mathematics categories.


Algebraic & geometry methods have constituted a basic background and tool for people working on classic block coding theory and cryptography. Nowadays, new paradigms on coding theory and cryptography have arisen such as: Network coding, S-Boxes, APN Functions, Steganography and decoding by linear programming. Again understanding the underlying procedure and symmetry of these topics needs a whole bunch of non trivial knowledge of algebra and geometry that will be used to both, evaluate those methods and search for new codes and cryptographic applications. This book shows those methods in a self-contained form.



Algebra For Secure And Reliable Communication Modeling


Algebra For Secure And Reliable Communication Modeling
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Author : Mustapha Lahyane
language : en
Publisher: American Mathematical Soc.
Release Date : 2015-06-23

Algebra For Secure And Reliable Communication Modeling written by Mustapha Lahyane 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 2015-06-23 with Geometry, Algebraic categories.


This volume contains the proceedings of the CIMPA Research School and Conference on Algebra for Secure and Reliable Communication Modeling, held from October 1-13, 2012, in Morelia, State of Michoacán, Mexico. The papers cover several aspects of the theory of coding theory and are gathered into three categories: general theory of linear codes, algebraic geometry and coding theory, and constacyclic codes over rings. The aim of this volume is to fill the gap between the theoretical part of algebraic geometry and the applications to problem solving and computational modeling in engineering, signal processing and information theory. This book is published in cooperation with Real Sociedad Matemática Española (RSME).



Algebra For Secure And Reliable Communication Modeling


Algebra For Secure And Reliable Communication Modeling
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Author : Mustapha Lahyane
language : en
Publisher:
Release Date : 2015

Algebra For Secure And Reliable Communication Modeling written by Mustapha Lahyane and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with Geometry, Algebraic categories.




Algebraic Geometry And Geometric Modeling


Algebraic Geometry And Geometric Modeling
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Author : Mohamed Elkadi
language : en
Publisher: Springer
Release Date : 2010-11-19

Algebraic Geometry And Geometric Modeling written by Mohamed Elkadi and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-11-19 with Mathematics categories.


This book spans the distance between algebraic descriptions of geometric objects and the rendering of digital geometric shapes based on algebraic models. These contrasting points of view inspire a thorough analysis of the key challenges and how they are met. The articles focus on important classes of problems: implicitization, classification, and intersection. Combining illustrative graphics, computations and review articles this book helps the reader gain a firm practical grasp of these subjects.



Topics In Algebraic Geometry And Geometric Modeling


Topics In Algebraic Geometry And Geometric Modeling
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Author : Ron Goldman
language : en
Publisher: American Mathematical Soc.
Release Date : 2003

Topics In Algebraic Geometry And Geometric Modeling written by Ron Goldman 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 2003 with Algebraic geometry categories.


Algebraic geometry and geometric modeling both deal with curves and surfaces generated by polynomial equations. Algebraic geometry investigates the theoretical properties of polynomial curves and surfaces; geometric modeling uses polynomial, piecewise polynomial, and rational curves and surfaces to build computer models of mechanical components and assemblies for industrial design and manufacture. The NSF sponsored the four-day ''Vilnius Workshop on Algebraic Geometry and Geometric Modeling'', which brought together some of the top experts in the two research communities to examine a wide range of topics of interest to both fields. This volume is an outgrowth of that workshop. Included are surveys, tutorials, and research papers. In addition, the editors have included a translation of Minding's 1841 paper, ''On the determination of the degree of an equations obtained by elimination'', which foreshadows the modern application of mixed volumes in algebraic geometry. The volume is suitable for mathematicians, computer scientists, and engineers interested in applications of algebraic geometry to geometric modeling.



Stochastic Models Information Theory And Lie Groups Volume 2


Stochastic Models Information Theory And Lie Groups Volume 2
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Author : Gregory S. Chirikjian
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-11-16

Stochastic Models Information Theory And Lie Groups Volume 2 written by Gregory S. Chirikjian 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 2011-11-16 with Mathematics categories.


This unique two-volume set presents the subjects of stochastic processes, information theory, and Lie groups in a unified setting, thereby building bridges between fields that are rarely studied by the same people. Unlike the many excellent formal treatments available for each of these subjects individually, the emphasis in both of these volumes is on the use of stochastic, geometric, and group-theoretic concepts in the modeling of physical phenomena. Stochastic Models, Information Theory, and Lie Groups will be of interest to advanced undergraduate and graduate students, researchers, and practitioners working in applied mathematics, the physical sciences, and engineering. Extensive exercises, motivating examples, and real-world applications make the work suitable as a textbook for use in courses that emphasize applied stochastic processes or differential geometry.