Elements Of Quasigroup Theory And Applications

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Elements of Quasigroup Theory and Applications

Author : Victor Shcherbacov
Publisher : Unknown
Page : 0 pages
File Size : 41,8 Mb
Release : 2023
Category : Quasigroups
ISBN : 7576706228

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Elements of Quasigroup Theory and Applications by Victor Shcherbacov Pdf

Elements of Quasigroup Theory and Applications

Author : Victor Shcherbacov
Publisher : CRC Press
Page : 423 pages
File Size : 52,7 Mb
Release : 2017-05-12
Category : Computers
ISBN : 9781351646369

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Elements of Quasigroup Theory and Applications by Victor Shcherbacov Pdf

This book provides an introduction to quasigroup theory along with new structural results on some of the quasigroup classes. Many results are presented with some of them from mathematicians of the former USSR. These included results have not been published before in the western mathematical literature. In addition, many of the achievements obtained with regard to applications of quasigroups in coding theory and cryptology are described.

Quasigroups and Loops

Author : Orin Chein,Hala O. Pflugfelder,Jonathan D. H. Smith
Publisher : Unknown
Page : 596 pages
File Size : 41,9 Mb
Release : 1990
Category : Loops (Group theory).
ISBN : UOM:39015019608390

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Quasigroups and Loops by Orin Chein,Hala O. Pflugfelder,Jonathan D. H. Smith Pdf

Variational-Hemivariational Inequalities with Applications

Author : Mircea Sofonea,Stanislaw Migorski
Publisher : CRC Press
Page : 329 pages
File Size : 53,6 Mb
Release : 2017-10-23
Category : Mathematics
ISBN : 9781498761598

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Variational-Hemivariational Inequalities with Applications by Mircea Sofonea,Stanislaw Migorski Pdf

This research monograph represents an outcome of the cross-fertilization between nonlinear functional analysis and mathematical modelling, and demonstrates its application to solid and contact mechanics. Based on authors’ original results, it introduces a general fixed point principle and its application to various nonlinear problems in analysis and mechanics. The classes of history-dependent operators and almost history-dependent operators are exposed in a large generality. A systematic and unified presentation contains a carefully-selected collection of new results on variational-hemivariational inequalities with or without unilateral constraints. A wide spectrum of static, quasistatic, dynamic contact problems for elastic, viscoelastic and viscoplastic materials illustrates the applicability of these theoretical results. Written for mathematicians, applied mathematicians, engineers and scientists, it is also a valuable tool for graduate students and researchers in nonlinear analysis, mathematical modelling, mechanics of solids, and contact mechanics.

Iterative Methods and Preconditioning for Large and Sparse Linear Systems with Applications

Author : Daniele Bertaccini,Fabio Durastante
Publisher : CRC Press
Page : 375 pages
File Size : 47,5 Mb
Release : 2018-02-19
Category : Mathematics
ISBN : 9781498764179

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Iterative Methods and Preconditioning for Large and Sparse Linear Systems with Applications by Daniele Bertaccini,Fabio Durastante Pdf

This book describes, in a basic way, the most useful and effective iterative solvers and appropriate preconditioning techniques for some of the most important classes of large and sparse linear systems. The solution of large and sparse linear systems is the most time-consuming part for most of the scientific computing simulations. Indeed, mathematical models become more and more accurate by including a greater volume of data, but this requires the solution of larger and harder algebraic systems. In recent years, research has focused on the efficient solution of large sparse and/or structured systems generated by the discretization of numerical models by using iterative solvers.

Noncommutative Deformation Theory

Author : Eivind Eriksen,Olav Arnfinn Laudal,Arvid Siqveland
Publisher : CRC Press
Page : 211 pages
File Size : 49,6 Mb
Release : 2017-09-19
Category : Mathematics
ISBN : 9781351652124

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Noncommutative Deformation Theory by Eivind Eriksen,Olav Arnfinn Laudal,Arvid Siqveland Pdf

Noncommutative Deformation Theory is aimed at mathematicians and physicists studying the local structure of moduli spaces in algebraic geometry. This book introduces a general theory of noncommutative deformations, with applications to the study of moduli spaces of representations of associative algebras and to quantum theory in physics. An essential part of this theory is the study of obstructions of liftings of representations using generalised (matric) Massey products. Suitable for researchers in algebraic geometry and mathematical physics interested in the workings of noncommutative algebraic geometry, it may also be useful for advanced graduate students in these fields.

Spectral and Scattering Theory for Second Order Partial Differential Operators

Author : Kiyoshi Mochizuki
Publisher : CRC Press
Page : 232 pages
File Size : 45,9 Mb
Release : 2017-06-01
Category : Mathematics
ISBN : 9781498756037

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Spectral and Scattering Theory for Second Order Partial Differential Operators by Kiyoshi Mochizuki Pdf

The book is intended for students of graduate and postgraduate level, researchers in mathematical sciences as well as those who want to apply the spectral theory of second order differential operators in exterior domains to their own field. In the first half of this book, the classical results of spectral and scattering theory: the selfadjointness, essential spectrum, absolute continuity of the continuous spectrum, spectral representations, short-range and long-range scattering are summarized. In the second half, recent results: scattering of Schrodinger operators on a star graph, uniform resolvent estimates, smoothing properties and Strichartz estimates, and some applications are discussed.

Hyperidentities: Boolean And De Morgan Structures

Author : Yuri Movsisyan
Publisher : World Scientific
Page : 561 pages
File Size : 53,7 Mb
Release : 2022-09-20
Category : Mathematics
ISBN : 9789811254932

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Hyperidentities: Boolean And De Morgan Structures by Yuri Movsisyan Pdf

Hyperidentities are important formulae of second-order logic, and research in hyperidentities paves way for the study of second-order logic and second-order model theory.This book illustrates many important current trends and perspectives for the field of hyperidentities and their applications, of interest to researchers in modern algebra and discrete mathematics. It covers a number of directions, including the characterizations of the Boolean algebra of n-ary Boolean functions and the distributive lattice of n-ary monotone Boolean functions; the classification of hyperidentities of the variety of lattices, the variety of distributive (modular) lattices, the variety of Boolean algebras, and the variety of De Morgan algebras; the characterization of algebras with aforementioned hyperidentities; the functional representations of finitely-generated free algebras of various varieties of lattices and bilattices via generalized Boolean functions (De Morgan functions, quasi-De Morgan functions, super-Boolean functions, super-De Morgan functions, etc); the structural results for De Morgan algebras, Boole-De Morgan algebras, super-Boolean algebras, bilattices, among others.While problems of Boolean functions theory are well known, the present book offers alternative, more general problems, involving the concepts of De Morgan functions, quasi-De Morgan functions, super-Boolean functions, and super-De Morgan functions, etc. In contrast to other generalized Boolean functions discovered and investigated so far, these functions have clearly normal forms. This quality is of crucial importance for their applications in pure and applied mathematics, especially in discrete mathematics, quantum computation, quantum information theory, quantum logic, and the theory of quantum computers.

Nonlinear Reaction-Diffusion-Convection Equations

Author : Roman Cherniha,Mykola Serov,Oleksii Pliukhin
Publisher : CRC Press
Page : 244 pages
File Size : 42,6 Mb
Release : 2017-11-02
Category : Mathematics
ISBN : 9781351650878

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Nonlinear Reaction-Diffusion-Convection Equations by Roman Cherniha,Mykola Serov,Oleksii Pliukhin Pdf

It is well known that symmetry-based methods are very powerful tools for investigating nonlinear partial differential equations (PDEs), notably for their reduction to those of lower dimensionality (e.g. to ODEs) and constructing exact solutions. This book is devoted to (1) search Lie and conditional (non-classical) symmetries of nonlinear RDC equations, (2) constructing exact solutions using the symmetries obtained, and (3) their applications for solving some biologically and physically motivated problems. The book summarises the results derived by the authors during the last 10 years and those obtained by some other authors.

Mathematical Modelling of Waves in Multi-Scale Structured Media

Author : Alexander B. Movchan,Natasha V. Movchan,Ian S. Jones,Daniel J. Colquitt
Publisher : CRC Press
Page : 248 pages
File Size : 40,8 Mb
Release : 2017-11-09
Category : Mathematics
ISBN : 9781498782104

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Mathematical Modelling of Waves in Multi-Scale Structured Media by Alexander B. Movchan,Natasha V. Movchan,Ian S. Jones,Daniel J. Colquitt Pdf

Mathematical Modelling of Waves in Multi-Scale Structured Media presents novel analytical and numerical models of waves in structured elastic media, with emphasis on the asymptotic analysis of phenomena such as dynamic anisotropy, localisation, filtering and polarisation as well as on the modelling of photonic, phononic, and platonic crystals.

Willmore Energy and Willmore Conjecture

Author : Magdalena D. Toda
Publisher : CRC Press
Page : 157 pages
File Size : 46,5 Mb
Release : 2017-10-30
Category : Mathematics
ISBN : 9781498744645

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Willmore Energy and Willmore Conjecture by Magdalena D. Toda Pdf

This book is the first monograph dedicated entirely to Willmore energy and Willmore surfaces as contemporary topics in differential geometry. While it focuses on Willmore energy and related conjectures, it also sits at the intersection between integrable systems, harmonic maps, Lie groups, calculus of variations, geometric analysis and applied differential geometry. Rather than reproducing published results, it presents new directions, developments and open problems. It addresses questions like: What is new in Willmore theory? Are there any new Willmore conjectures and open problems? What are the contemporary applications of Willmore surfaces? As well as mathematicians and physicists, this book is a useful tool for postdoctoral researchers and advanced graduate students working in this area.

Optimization and Differentiation

Author : Simon Serovajsky
Publisher : CRC Press
Page : 539 pages
File Size : 49,7 Mb
Release : 2017-09-13
Category : Mathematics
ISBN : 9781498750950

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Optimization and Differentiation by Simon Serovajsky Pdf

Optimization and Differentiation is an introduction to the application of optimization control theory to systems described by nonlinear partial differential equations. As well as offering a useful reference work for researchers in these fields, it is also suitable for graduate students of optimal control theory.

Integration and Cubature Methods

Author : Willi Freeden,Martin Gutting
Publisher : CRC Press
Page : 501 pages
File Size : 40,5 Mb
Release : 2017-11-22
Category : Mathematics
ISBN : 9781351764766

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Integration and Cubature Methods by Willi Freeden,Martin Gutting Pdf

In industry and economics, the most common solutions of partial differential equations involving multivariate numerical integration over cuboids include techniques of iterated one-dimensional approximate integration. In geosciences, however, the integrals are extended over potato-like volumes (such as the ball, ellipsoid, geoid, or the Earth) and their boundary surfaces which require specific multi-variate approximate integration methods. Integration and Cubature Methods: A Geomathematically Oriented Course provides a basic foundation for students, researchers, and practitioners interested in precisely these areas, as well as breaking new ground in integration and cubature in geomathematics.

Computation with Linear Algebraic Groups

Author : Willem Adriaan de Graaf
Publisher : CRC Press
Page : 324 pages
File Size : 52,6 Mb
Release : 2017-08-07
Category : Mathematics
ISBN : 9781498722919

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Computation with Linear Algebraic Groups by Willem Adriaan de Graaf Pdf

Designed as a self-contained account of a number of key algorithmic problems and their solutions for linear algebraic groups, this book combines in one single text both an introduction to the basic theory of linear algebraic groups and a substantial collection of useful algorithms. Computation with Linear Algebraic Groups offers an invaluable guide to graduate students and researchers working in algebraic groups, computational algebraic geometry, and computational group theory, as well as those looking for a concise introduction to the theory of linear algebraic groups.

Mal'cev Varieties

Author : J.D.H. Smith
Publisher : Springer
Page : 167 pages
File Size : 53,5 Mb
Release : 2006-11-14
Category : Mathematics
ISBN : 9783540379393

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Mal'cev Varieties by J.D.H. Smith Pdf