Semirings As Building Blocks In Cryptography

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Semirings as Building Blocks in Cryptography

Author : Mariana Durcheva
Publisher : Cambridge Scholars Publishing
ISBN 13 : 1527543315
Total Pages : 132 pages
Book Rating : 4.5/5 (275 download)

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Book Synopsis Semirings as Building Blocks in Cryptography by : Mariana Durcheva

Download or read book Semirings as Building Blocks in Cryptography written by Mariana Durcheva and published by Cambridge Scholars Publishing. This book was released on 2019-11-12 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: Semirings as an algebraic structure have been known since 1934, but remained unapplied for mathematical purposes for a long time. It has only been in the past decade that they have been used in cryptography. The advantage of (additively) idempotent semirings is that the additive operation does not have an inverse, which can help in preventing the breakage of a cryptosystem. This book describes a number of cryptographic protocols, as well as the hard mathematical problems on which their security is based. It will appeal to cryptographers and specialists in applied algebra.

At Your Service

Author : Elisabetta Di Nitto
Publisher : MIT Press
ISBN 13 : 0262042533
Total Pages : 577 pages
Book Rating : 4.2/5 (62 download)

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Book Synopsis At Your Service by : Elisabetta Di Nitto

Download or read book At Your Service written by Elisabetta Di Nitto and published by MIT Press. This book was released on 2009 with total page 577 pages. Available in PDF, EPUB and Kindle. Book excerpt: Research results from industry-academic collaborative projects in service-oriented computing describe practical, achievable solutions. Service-Oriented Applications and Architectures (SOAs) have captured the interest of industry as a way to support business-to-business interaction, and the SOA market grew by $4.9 billion in 2005. SOAs and in particular service-oriented computing (SOC) represent a promising approach in the development of adaptive distributed systems. With SOC, applications can open themselves to services offered by third parties and accessed through standard, well-defined interfaces. The binding between the applications and the services can be, in this context, extremely loose--enabling the ad hoc creation of new services when the need arises. This book offers an overview of some current research in the field, presenting the results of eighteen research projects funded by the European Community's Information Society Technologies Program (IST). The projects, collaborations between industry and academia, have produced practical, achievable results that point the way to real-world applications and future research. The chapters address such issues as requirement analysis, design, governance, interoperability, and the dependability of systems made up of components owned by third parties. The results are presented in the context of two roadmaps for research, one developed by European industry involved in software development and the other by researchers working in the service area. The contributors report first on the "Infrastructure Layer," then (in the bulk of the book) on the "Service Integration Layer," the "Semantic Layer," and finally on the issues that cut across the different layers. The book concludes by looking at ongoing research on both roadmaps.

Leavitt Path Algebras

Author : Gene Abrams
Publisher : Springer
ISBN 13 : 1447173449
Total Pages : 289 pages
Book Rating : 4.4/5 (471 download)

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Book Synopsis Leavitt Path Algebras by : Gene Abrams

Download or read book Leavitt Path Algebras written by Gene Abrams and published by Springer. This book was released on 2017-11-30 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a comprehensive introduction by three of the leading experts in the field, collecting fundamental results and open problems in a single volume. Since Leavitt path algebras were first defined in 2005, interest in these algebras has grown substantially, with ring theorists as well as researchers working in graph C*-algebras, group theory and symbolic dynamics attracted to the topic. Providing a historical perspective on the subject, the authors review existing arguments, establish new results, and outline the major themes and ring-theoretic concepts, such as the ideal structure, Z-grading and the close link between Leavitt path algebras and graph C*-algebras. The book also presents key lines of current research, including the Algebraic Kirchberg Phillips Question, various additional classification questions, and connections to noncommutative algebraic geometry. Leavitt Path Algebras will appeal to graduate students and researchers working in the field and related areas, such as C*-algebras and symbolic dynamics. With its descriptive writing style, this book is highly accessible.

Introduction to Coalgebra

Author : Bart Jacobs
Publisher : Cambridge University Press
ISBN 13 : 1107177898
Total Pages : 495 pages
Book Rating : 4.1/5 (71 download)

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Book Synopsis Introduction to Coalgebra by : Bart Jacobs

Download or read book Introduction to Coalgebra written by Bart Jacobs and published by Cambridge University Press. This book was released on 2017 with total page 495 pages. Available in PDF, EPUB and Kindle. Book excerpt: An accessible introduction to coalgebra, with clear mathematical explanations and numerous examples and exercises.

Knowledge Graphs

Author : Aidan Hogan
Publisher : Springer Nature
ISBN 13 : 3031019180
Total Pages : 247 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Knowledge Graphs by : Aidan Hogan

Download or read book Knowledge Graphs written by Aidan Hogan and published by Springer Nature. This book was released on 2022-06-01 with total page 247 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive and accessible introduction to knowledge graphs, which have recently garnered notable attention from both industry and academia. Knowledge graphs are founded on the principle of applying a graph-based abstraction to data, and are now broadly deployed in scenarios that require integrating and extracting value from multiple, diverse sources of data at large scale. The book defines knowledge graphs and provides a high-level overview of how they are used. It presents and contrasts popular graph models that are commonly used to represent data as graphs, and the languages by which they can be queried before describing how the resulting data graph can be enhanced with notions of schema, identity, and context. The book discusses how ontologies and rules can be used to encode knowledge as well as how inductive techniques—based on statistics, graph analytics, machine learning, etc.—can be used to encode and extract knowledge. It covers techniques for the creation, enrichment, assessment, and refinement of knowledge graphs and surveys recent open and enterprise knowledge graphs and the industries or applications within which they have been most widely adopted. The book closes by discussing the current limitations and future directions along which knowledge graphs are likely to evolve. This book is aimed at students, researchers, and practitioners who wish to learn more about knowledge graphs and how they facilitate extracting value from diverse data at large scale. To make the book accessible for newcomers, running examples and graphical notation are used throughout. Formal definitions and extensive references are also provided for those who opt to delve more deeply into specific topics.

Computational Mathematics with SageMath

Author : P. Zimmermann
Publisher : SIAM
ISBN 13 : 161197545X
Total Pages : 459 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis Computational Mathematics with SageMath by : P. Zimmermann

Download or read book Computational Mathematics with SageMath written by P. Zimmermann and published by SIAM. This book was released on 2018-12-10 with total page 459 pages. Available in PDF, EPUB and Kindle. Book excerpt: This fantastic and deep book about how to use Sage for learning and doing mathematics at all levels perfectly complements the existing Sage documentation. It is filled with many carefully thought through examples and exercises, and great care has been taken to put computational functionality into proper mathematical context. Flip to almost any random page in this amazing book, and you will learn how to play with and visualize some beautiful part of mathematics. --- William A. Stein, CEO, SageMath, and professor of mathematics, University of Washington SageMath, or Sage for short, is an open-source mathematical software system based on the Python language and developed by an international community comprising hundreds of teachers and researchers, whose aim is to provide an alternative to the commercial products Magma, Maple, Mathematica, and MATLAB. To achieve this, Sage relies on many open-source programs, including GAP, Maxima, PARI, and various scientific libraries for Python, to which thousands of new functions have been added. Sage is freely available and is supported by all modern operating systems. Sage provides a wonderful scientific and graphical calculator for high school students, and it efficiently supports undergraduates in their computations in analysis, linear algebra, calculus, etc. For graduate students, researchers, and engineers in various mathematical specialties, Sage provides the most recent algorithms and tools, which is why several universities around the world already use Sage at the undergraduate level.

Digital Integrated Circuit Design

Author : Hubert Kaeslin
Publisher : Cambridge University Press
ISBN 13 : 0521882672
Total Pages : 878 pages
Book Rating : 4.5/5 (218 download)

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Book Synopsis Digital Integrated Circuit Design by : Hubert Kaeslin

Download or read book Digital Integrated Circuit Design written by Hubert Kaeslin and published by Cambridge University Press. This book was released on 2008-04-28 with total page 878 pages. Available in PDF, EPUB and Kindle. Book excerpt: This practical, tool-independent guide to designing digital circuits takes a unique, top-down approach, reflecting the nature of the design process in industry. Starting with architecture design, the book comprehensively explains the why and how of digital circuit design, using the physics designers need to know, and no more.

Introduction to Algorithms, third edition

Author : Thomas H. Cormen
Publisher : MIT Press
ISBN 13 : 0262258102
Total Pages : 1313 pages
Book Rating : 4.2/5 (622 download)

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Book Synopsis Introduction to Algorithms, third edition by : Thomas H. Cormen

Download or read book Introduction to Algorithms, third edition written by Thomas H. Cormen and published by MIT Press. This book was released on 2009-07-31 with total page 1313 pages. Available in PDF, EPUB and Kindle. Book excerpt: The latest edition of the essential text and professional reference, with substantial new material on such topics as vEB trees, multithreaded algorithms, dynamic programming, and edge-based flow. Some books on algorithms are rigorous but incomplete; others cover masses of material but lack rigor. Introduction to Algorithms uniquely combines rigor and comprehensiveness. The book covers a broad range of algorithms in depth, yet makes their design and analysis accessible to all levels of readers. Each chapter is relatively self-contained and can be used as a unit of study. The algorithms are described in English and in a pseudocode designed to be readable by anyone who has done a little programming. The explanations have been kept elementary without sacrificing depth of coverage or mathematical rigor. The first edition became a widely used text in universities worldwide as well as the standard reference for professionals. The second edition featured new chapters on the role of algorithms, probabilistic analysis and randomized algorithms, and linear programming. The third edition has been revised and updated throughout. It includes two completely new chapters, on van Emde Boas trees and multithreaded algorithms, substantial additions to the chapter on recurrence (now called “Divide-and-Conquer”), and an appendix on matrices. It features improved treatment of dynamic programming and greedy algorithms and a new notion of edge-based flow in the material on flow networks. Many exercises and problems have been added for this edition. The international paperback edition is no longer available; the hardcover is available worldwide.

Arithmetic Circuits

Author : Amir Shpilka
Publisher : Now Publishers Inc
ISBN 13 : 1601984006
Total Pages : 193 pages
Book Rating : 4.6/5 (19 download)

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Book Synopsis Arithmetic Circuits by : Amir Shpilka

Download or read book Arithmetic Circuits written by Amir Shpilka and published by Now Publishers Inc. This book was released on 2010 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: A large class of problems in symbolic computation can be expressed as the task of computing some polynomials; and arithmetic circuits form the most standard model for studying the complexity of such computations. This algebraic model of computation attracted a large amount of research in the last five decades, partially due to its simplicity and elegance. Being a more structured model than Boolean circuits, one could hope that the fundamental problems of theoretical computer science, such as separating P from NP, will be easier to solve for arithmetic circuits. However, in spite of the appearing simplicity and the vast amount of mathematical tools available, no major breakthrough has been seen. In fact, all the fundamental questions are still open for this model as well. Nevertheless, there has been a lot of progress in the area and beautiful results have been found, some in the last few years. As examples we mention the connection between polynomial identity testing and lower bounds of Kabanets and Impagliazzo, the lower bounds of Raz for multilinear formulas, and two new approaches for proving lower bounds: Geometric Complexity Theory and Elusive Functions. The goal of this monograph is to survey the field of arithmetic circuit complexity, focusing mainly on what we find to be the most interesting and accessible research directions. We aim to cover the main results and techniques, with an emphasis on works from the last two decades. In particular, we discuss the recent lower bounds for multilinear circuits and formulas, the advances in the question of deterministically checking polynomial identities, and the results regarding reconstruction of arithmetic circuits. We do, however, also cover part of the classical works on arithmetic circuits. In order to keep this monograph at a reasonable length, we do not give full proofs of most theorems, but rather try to convey the main ideas behind each proof and demonstrate it, where possible, by proving some special cases.

The Gelfand Mathematical Seminars, 1990–1992

Author : L. Corwin
Publisher : Springer Science & Business Media
ISBN 13 : 9780817636890
Total Pages : 252 pages
Book Rating : 4.6/5 (368 download)

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Book Synopsis The Gelfand Mathematical Seminars, 1990–1992 by : L. Corwin

Download or read book The Gelfand Mathematical Seminars, 1990–1992 written by L. Corwin and published by Springer Science & Business Media. This book was released on 1993-06 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Seminar began in Moscow in November 1943 and has continued without interruption up to the present. We are happy that with this vol ume, Birkhiiuser has begun to publish papers of talks from the Seminar. It was, unfortunately, difficult to organize their publication before 1990. Since 1990, most of the talks have taken place at Rutgers University in New Brunswick, New Jersey. Parallel seminars were also held in Moscow, and during July, 1992, at IRES in Bures-sur-Yvette, France. Speakers were invited to submit papers in their own style, and to elaborate on what they discussed in the Seminar. We hope that readers will find the diversity of styles appealing, and recognize that to some extent this reflects the diversity of styles in a mathematical society. The principal aim was to have interesting talks, even if the topic was not especially popular at the time. The papers listed in the Table of Contents reflect some of the rich variety of ideas presented in the Seminar. Not all the speakers submit ted papers. Among the interesting talks that influenced the seminar in an important way, let us mention, for example, that of R. Langlands on per colation theory and those of J. Conway and J. McKay on sporadic groups. In addition, there were many extemporaneous talks as well as short discus sions.

Crotchet Castle

Author : Thomas Love Peacock
Publisher : Litres
ISBN 13 : 5041626774
Total Pages : 177 pages
Book Rating : 4.0/5 (416 download)

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Book Synopsis Crotchet Castle by : Thomas Love Peacock

Download or read book Crotchet Castle written by Thomas Love Peacock and published by Litres. This book was released on 2021-01-18 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt:

From Mathematics to Generic Programming

Author : Alexander A. Stepanov
Publisher : Addison-Wesley Professional
ISBN 13 : 0133491781
Total Pages : 311 pages
Book Rating : 4.1/5 (334 download)

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Book Synopsis From Mathematics to Generic Programming by : Alexander A. Stepanov

Download or read book From Mathematics to Generic Programming written by Alexander A. Stepanov and published by Addison-Wesley Professional. This book was released on 2014-11-13 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this substantive yet accessible book, pioneering software designer Alexander Stepanov and his colleague Daniel Rose illuminate the principles of generic programming and the mathematical concept of abstraction on which it is based, helping you write code that is both simpler and more powerful. If you’re a reasonably proficient programmer who can think logically, you have all the background you’ll need. Stepanov and Rose introduce the relevant abstract algebra and number theory with exceptional clarity. They carefully explain the problems mathematicians first needed to solve, and then show how these mathematical solutions translate to generic programming and the creation of more effective and elegant code. To demonstrate the crucial role these mathematical principles play in many modern applications, the authors show how to use these results and generalized algorithms to implement a real-world public-key cryptosystem. As you read this book, you’ll master the thought processes necessary for effective programming and learn how to generalize narrowly conceived algorithms to widen their usefulness without losing efficiency. You’ll also gain deep insight into the value of mathematics to programming—insight that will prove invaluable no matter what programming languages and paradigms you use. You will learn about How to generalize a four thousand-year-old algorithm, demonstrating indispensable lessons about clarity and efficiency Ancient paradoxes, beautiful theorems, and the productive tension between continuous and discrete A simple algorithm for finding greatest common divisor (GCD) and modern abstractions that build on it Powerful mathematical approaches to abstraction How abstract algebra provides the idea at the heart of generic programming Axioms, proofs, theories, and models: using mathematical techniques to organize knowledge about your algorithms and data structures Surprising subtleties of simple programming tasks and what you can learn from them How practical implementations can exploit theoretical knowledge

Finite Versus Infinite

Author : Cristian S. Calude
Publisher : Springer Science & Business Media
ISBN 13 : 1447107519
Total Pages : 376 pages
Book Rating : 4.4/5 (471 download)

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Book Synopsis Finite Versus Infinite by : Cristian S. Calude

Download or read book Finite Versus Infinite written by Cristian S. Calude and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: The finite - infinite interplay is central in human thinking, from ancient philosophers and mathematicians (Zeno, Pythagoras), to modern mathe matics (Cantor, Hilbert) and computer science (Turing, Godel). Recent developments in mathematics and computer science suggest a) radically new answers to classical questions (e. g. , does infinity exist?, where does infinity come from?, how to reconcile the finiteness of the human brain with the infinity of ideas it produces?), b) new questions of debate (e. g. , what is the role played by randomness?, are computers capable of handling the infinity through unconventional media of computation?, how can one approximate efficiently the finite by the infinite and, conversely, the infinite by finite?). Distinguished authors from around the world, many of them architects of the mathematics and computer science for the new century, contribute to the volume. Papers are as varied as Professor Marcus' activity, to whom this volume is dedicated. They range from real analysis to DNA com puting, from linguistics to logic, from combinatorics on words to symbolic dynamics, from automata theory to geography, and so on, plus an incursion into the old history of conceptions about infinity and a list of philosophical "open problems". They are mainly mathematical and theoretical computer science texts, but not all of them are purely mathematical.

Semirings and their Applications

Author : Jonathan S. Golan
Publisher : Springer Science & Business Media
ISBN 13 : 9401593337
Total Pages : 376 pages
Book Rating : 4.4/5 (15 download)

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Book Synopsis Semirings and their Applications by : Jonathan S. Golan

Download or read book Semirings and their Applications written by Jonathan S. Golan and published by Springer Science & Business Media. This book was released on 2013-04-18 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: There is no branch of mathematics, however abstract, which may not some day be applied to phenomena of the real world. - Nikolai Ivanovich Lobatchevsky This book is an extensively-revised and expanded version of "The Theory of Semirings, with Applicationsin Mathematics and Theoretical Computer Science" [Golan, 1992], first published by Longman. When that book went out of print, it became clear - in light of the significant advances in semiring theory over the past years and its new important applications in such areas as idempotent analysis and the theory of discrete-event dynamical systems - that a second edition incorporating minor changes would not be sufficient and that a major revision of the book was in order. Therefore, though the structure of the first «dition was preserved, the text was extensively rewritten and substantially expanded. In particular, references to many interesting and applications of semiring theory, developed in the past few years, had to be added. Unfortunately, I find that it is best not to go into these applications in detail, for that would entail long digressions into various domains of pure and applied mathematics which would only detract from the unity of the volume and increase its length considerably. However, I have tried to provide an extensive collection of examples to arouse the reader's interest in applications, as well as sufficient citations to allow the interested reader to locate them. For the reader's convenience, an index to these citations is given at the end of the book .

MODERN ALGEBRA WITH APPLICATIONS

Author : William J Gilbert
Publisher : John Wiley & Sons
ISBN 13 : 9788126518302
Total Pages : 366 pages
Book Rating : 4.5/5 (183 download)

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Book Synopsis MODERN ALGEBRA WITH APPLICATIONS by : William J Gilbert

Download or read book MODERN ALGEBRA WITH APPLICATIONS written by William J Gilbert and published by John Wiley & Sons. This book was released on 2008-09 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: Market_Desc: Upper undergraduate and graduate level modern algebra courses Special Features: · Includes applications so students can see right away how to use the theory· This classic text has sold almost 12,000 units· Contains numerous examples· Includes chapters on Boolean Algebras, groups, quotient groups, symmetry groups in three dimensions, Polya-Burnside method of enumeration, monoids and machines, rings and fields, polynomial and Euclidean rings, quotient rings, field extensions, Latin squares, geometrical constructions, and error-correcting codes· Andwers to odd-numbered exercises so students can check their work About The Book: The book covers all the group, ring, and field theory that is usually contained in a standard modern algebra course; the exact sections containing this material are indicated in the Table of Contents. It stops short of the Sylow theorems and Galois theory. These topics could only be touched on in a first course, and the author feels that more time should be spent on them if they are to be appreciated.

Computer Science Handbook

Author : Allen B. Tucker
Publisher : CRC Press
ISBN 13 : 0203494458
Total Pages : 2742 pages
Book Rating : 4.2/5 (34 download)

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Book Synopsis Computer Science Handbook by : Allen B. Tucker

Download or read book Computer Science Handbook written by Allen B. Tucker and published by CRC Press. This book was released on 2004-06-28 with total page 2742 pages. Available in PDF, EPUB and Kindle. Book excerpt: When you think about how far and fast computer science has progressed in recent years, it's not hard to conclude that a seven-year old handbook may fall a little short of the kind of reference today's computer scientists, software engineers, and IT professionals need. With a broadened scope, more emphasis on applied computing, and more than 70 chap

Discrete Groups, Expanding Graphs and Invariant Measures

Author : Alex Lubotzky
Publisher : Springer Science & Business Media
ISBN 13 : 3034603320
Total Pages : 201 pages
Book Rating : 4.0/5 (346 download)

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Book Synopsis Discrete Groups, Expanding Graphs and Invariant Measures by : Alex Lubotzky

Download or read book Discrete Groups, Expanding Graphs and Invariant Measures written by Alex Lubotzky and published by Springer Science & Business Media. This book was released on 2010-02-17 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the last ?fteen years two seemingly unrelated problems, one in computer science and the other in measure theory, were solved by amazingly similar techniques from representation theory and from analytic number theory. One problem is the - plicit construction of expanding graphs («expanders»). These are highly connected sparse graphs whose existence can be easily demonstrated but whose explicit c- struction turns out to be a dif?cult task. Since expanders serve as basic building blocks for various distributed networks, an explicit construction is highly des- able. The other problem is one posed by Ruziewicz about seventy years ago and studied by Banach [Ba]. It asks whether the Lebesgue measure is the only ?nitely additive measure of total measure one, de?ned on the Lebesgue subsets of the n-dimensional sphere and invariant under all rotations. The two problems seem, at ?rst glance, totally unrelated. It is therefore so- what surprising that both problems were solved using similar methods: initially, Kazhdan’s property (T) from representation theory of semi-simple Lie groups was applied in both cases to achieve partial results, and later on, both problems were solved using the (proved) Ramanujan conjecture from the theory of automorphic forms. The fact that representation theory and automorphic forms have anything to do with these problems is a surprise and a hint as well that the two questions are strongly related.