Acta Mathematica Universitatis Ostraviensis

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Number Theory and Its Applications

Author : Cheon Seoung Ryoo
Publisher : BoD – Books on Demand
Page : 220 pages
File Size : 50,8 Mb
Release : 2020-11-04
Category : Mathematics
ISBN : 9781839680502

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Number Theory and Its Applications by Cheon Seoung Ryoo Pdf

Number theory and its applications are well known for their proven properties and excellent applicability in interdisciplinary fields of science. Until now, research on number theory and its applications has been done in mathematics, applied mathematics, and the sciences. In particular, number theory plays a fundamental and important role in mathematics and applied mathematics. This book is based on recent results in all areas related to number theory and its applications.

Developments in Language Theory

Author : Masami Ito,Masafumi Toyama
Publisher : Springer Science & Business Media
Page : 555 pages
File Size : 51,9 Mb
Release : 2008-09-04
Category : Computers
ISBN : 9783540857792

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Developments in Language Theory by Masami Ito,Masafumi Toyama Pdf

This book constitutes the refereed proceedings of the 12th International Conference on Developments in Language Theory, DLT 2008, held in Kyoto, Japan, September 2008. The 36 revised full papers presented together with 6 invited papers were carefully reviewed and selected from 102 submissions. All important issues in language theory are addressed including grammars, acceptors and transducers for words, trees and graphs; algebraic theories of automata; algorithmic, combinatorial and algebraic properties of words and languages; variable length codes; symbolic dynamics; cellular automata; polyominoes and multidimensional patterns; decidability questions; image manipulation and compression; efficient text algorithms; relationships to cryptography, concurrency, complexity theory and logic; bio-inspired computing; quantum computing.

Value-Distribution of L-Functions

Author : Jörn Steuding
Publisher : Springer
Page : 322 pages
File Size : 49,9 Mb
Release : 2007-05-26
Category : Mathematics
ISBN : 9783540448228

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Value-Distribution of L-Functions by Jörn Steuding Pdf

These notes present recent results in the value-distribution theory of L-functions with emphasis on the phenomenon of universality. Universality has a strong impact on the zero-distribution: Riemann’s hypothesis is true only if the Riemann zeta-function can approximate itself uniformly. The text proves universality for polynomial Euler products. The authors’ approach follows mainly Bagchi's probabilistic method. Discussion touches on related topics: almost periodicity, density estimates, Nevanlinna theory, and functional independence.

Implementation and Application of Automata

Author : Oscar H. Ibarra,Hsu-Chun Yen
Publisher : Springer
Page : 291 pages
File Size : 55,8 Mb
Release : 2006-08-10
Category : Computers
ISBN : 9783540372141

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Implementation and Application of Automata by Oscar H. Ibarra,Hsu-Chun Yen Pdf

This book constitutes the refereed proceedings of the 11th International Conference on Implementation and Application of Automata, CIAA 2006, held in Taipei, Taiwan, in August 2006. The 22 revised full papers and 7 revised poster papers presented together with the extended abstracts of 3 invited lectures were carefully reviewed and selected from 76 submissions. The papers cover various topics in the theory, implementation, and applications of automata and related structures.

Elementary Modular Iwasawa Theory

Author : Haruzo Hida
Publisher : World Scientific
Page : 446 pages
File Size : 44,5 Mb
Release : 2021-10-04
Category : Mathematics
ISBN : 9789811241383

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Elementary Modular Iwasawa Theory by Haruzo Hida Pdf

This book is the first to provide a comprehensive and elementary account of the new Iwasawa theory innovated via the deformation theory of modular forms and Galois representations. The deformation theory of modular forms is developed by generalizing the cohomological approach discovered in the author's 2019 AMS Leroy P Steele Prize-winning article without using much algebraic geometry.Starting with a description of Iwasawa's classical results on his proof of the main conjecture under the Kummer-Vandiver conjecture (which proves cyclicity of his Iwasawa module more than just proving his main conjecture), we describe a generalization of the method proving cyclicity to the adjoint Selmer group of every ordinary deformation of a two-dimensional Artin Galois representation.The fundamentals in the first five chapters are as follows:Many open problems are presented to stimulate young researchers pursuing their field of study.

Topics in Logic, Philosophy and Foundations of Mathematics, and Computer Science

Author : Stanisław Krajewski,Stephen Krajewski
Publisher : IOS Press
Page : 380 pages
File Size : 42,9 Mb
Release : 2007
Category : Mathematics
ISBN : 1586038141

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Topics in Logic, Philosophy and Foundations of Mathematics, and Computer Science by Stanisław Krajewski,Stephen Krajewski Pdf

This volume honors Professor Andrzej Grzegorczyk, the nestor of Polish logicians, on his 85th anniversary. The editors would like to express the respect and sympathy they have for him. His textbook The Outline of Mathematical Logic has been published in many editions and translated into several languages. It was this textbook that introduced many of us into the world of mathematical logic. Professor Grzegorczyk has made fundamental contributions to logic and to philosophy. His results, mainly on hierarchy of primitive recursive functions, known as the Grzegorczyk hierarchy, are of fundamental importance to theoretical computer science. In particular, they were precursory for the computational complexity theory. The editors would like to stress that this special publication celebrates a scientist who is still actively pursuing genuinely innovative directions of research. Quite recently, Andrzej Grzegorczyk gave a new proof of undecidability of the first order functional calculus. His proof does not use the arithmetization of Kurt Gödel. In recognition of his merits, the University of Clermont-Ferrand conferred to Professor Andrzej Grzegorczyk the Doctorat Honoris Causa. The work and life of Professor Andrzej Grzegorczyk is presented in the article by Professors Stanislaw Krajewski and Jan Wolenski. The papers in this collection have been submitted on invitational basis.

Acta mathematica

Author : Anonim
Publisher : Unknown
Page : 410 pages
File Size : 47,9 Mb
Release : 1893
Category : Mathematics
ISBN : PRNC:32101044931911

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Acta mathematica by Anonim Pdf

Applications of Hyperstructure Theory

Author : P. Corsini,V. Leoreanu
Publisher : Springer Science & Business Media
Page : 333 pages
File Size : 45,5 Mb
Release : 2013-03-09
Category : Mathematics
ISBN : 9781475737141

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Applications of Hyperstructure Theory by P. Corsini,V. Leoreanu Pdf

This book presents some of the numerous applications of hyperstructures, especially those that were found and studied in the last fifteen years. There are applications to the following subjects: 1) geometry; 2) hypergraphs; 3) binary relations; 4) lattices; 5) fuzzy sets and rough sets; 6) automata; 7) cryptography; 8) median algebras, relation algebras; 9) combinatorics; 10) codes; 11) artificial intelligence; 12) probabilities. Audience: Graduate students and researchers.

Engaging Young Students In Mathematics Through Competitions - World Perspectives And Practices: Volume Ii - Mathematics Competitions And How They Relate To Research, Teaching And Motivation

Author : Geretschlager Robert
Publisher : World Scientific
Page : 300 pages
File Size : 52,8 Mb
Release : 2020-04-15
Category : Education
ISBN : 9789811209833

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Engaging Young Students In Mathematics Through Competitions - World Perspectives And Practices: Volume Ii - Mathematics Competitions And How They Relate To Research, Teaching And Motivation by Geretschlager Robert Pdf

Proof Theory for Fuzzy Logics

Author : George Metcalfe,Nicola Olivetti,Dov M. Gabbay
Publisher : Springer Science & Business Media
Page : 279 pages
File Size : 40,9 Mb
Release : 2008-11-27
Category : Mathematics
ISBN : 9781402094095

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Proof Theory for Fuzzy Logics by George Metcalfe,Nicola Olivetti,Dov M. Gabbay Pdf

Fuzzy logics are many-valued logics that are well suited to reasoning in the context of vagueness. They provide the basis for the wider field of Fuzzy Logic, encompassing diverse areas such as fuzzy control, fuzzy databases, and fuzzy mathematics. This book provides an accessible and up-to-date introduction to this fast-growing and increasingly popular area. It focuses in particular on the development and applications of "proof-theoretic" presentations of fuzzy logics; the result of more than ten years of intensive work by researchers in the area, including the authors. In addition to providing alternative elegant presentations of fuzzy logics, proof-theoretic methods are useful for addressing theoretical problems (including key standard completeness results) and developing efficient deduction and decision algorithms. Proof-theoretic presentations also place fuzzy logics in the broader landscape of non-classical logics, revealing deep relations with other logics studied in Computer Science, Mathematics, and Philosophy. The book builds methodically from the semantic origins of fuzzy logics to proof-theoretic presentations such as Hilbert and Gentzen systems, introducing both theoretical and practical applications of these presentations.

Quadratic Forms and Their Applications

Author : Eva Bayer-Fluckiger,Conference on Quadratic Forms and Their Applications,David Lewis,Andrew Ranicki,Conference on Quadratic Forms and Their Applications Staff
Publisher : American Mathematical Soc.
Page : 311 pages
File Size : 43,8 Mb
Release : 2000
Category : Mathematics
ISBN : 9780821827796

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Quadratic Forms and Their Applications by Eva Bayer-Fluckiger,Conference on Quadratic Forms and Their Applications,David Lewis,Andrew Ranicki,Conference on Quadratic Forms and Their Applications Staff Pdf

This volume outlines the proceedings of the conference on 'Quadratic Forms and Their Applications' held at University College Dublin. It includes survey articles and research papers ranging from applications in topology and geometry to the algebraic theory of quadratic forms and its history. Various aspects of the use of quadratic forms in algebra, analysis, topology, geometry, and number theory are addressed. Special features include the first published proof of the Conway-Schneeberger Fifteen Theorem on integer-valued quadratic forms and the first English-language biography of Ernst Witt, founder of the theory of quadratic forms.

Automated Reasoning with Analytic Tableaux and Related Methods

Author : Nicola Olivetti
Publisher : Springer
Page : 250 pages
File Size : 49,6 Mb
Release : 2007-09-17
Category : Computers
ISBN : 9783540730996

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Automated Reasoning with Analytic Tableaux and Related Methods by Nicola Olivetti Pdf

This book constitutes the refereed proceedings of the 16th International Conference on Automated Reasoning with Analytic Tableaux and Related Methods, TABLEAUX 2007, held in Aix en Provence, France. It covers the wide range of logics, from intuitionistic and substructural logics to modal logics (including temporal and dynamic logics), from many-valued logics to nonmonotonic logics, and from classical first-order logic to description logics.