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Author: Yuri Movsisyan
Publisher: World Scientific
ISBN: 9811254931
Category : Mathematics
Languages : en
Pages : 561
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Book Description
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.
Author: Yuri Movsisyan
Publisher: World Scientific
ISBN: 9811254931
Category : Mathematics
Languages : en
Pages : 561
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Book Description
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.
Author: Juan Manuel Velazquez Arcos
Publisher: BoD – Books on Demand
ISBN: 1839623977
Category : Computers
Languages : en
Pages : 154
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Book Description
This book presents a comprehensive overview of Fourier transforms and the treatment of superconductivity under the vision of the electromagnetic properties of superconductors. It begins with the latest applications and mathematical properties of Fourier transforms and the structure of quantum Fourier operators and fast summations of truncated Fourier series. Then, the book covers topics like tissue engineering, regenerative therapies, and medical imaging systems in medicine. In addition, the book addresses superconductivity subjects, the Lomb–Scargle periodogram on time series, biomedical signals, and two-dimensional Fourier series.
Author: Burton R. Clark
Publisher:
ISBN:
Category : Education, Higher
Languages : en
Pages : 692
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Book Description
V.1. National systems of higher education. v.2-3. Analytical perspectives. v.4. Academic disciplines and indexes.
Author: Bill Atweh
Publisher: Springer Science & Business Media
ISBN: 140208790X
Category : Education
Languages : en
Pages : 552
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Book Description
This book aims to develop theoretical frameworks of the phenomena of internationalisation and globalisation and identify related ethical, moral, political and economic issues facing mathematics and science educators. It provides a wide representation of views some of which are not often represented in international publications. This is the first book to deal with issues of globalisation and internationalisation in mathematics and science education.
Author: Juan Cobarrubias
Publisher: Walter de Gruyter
ISBN: 3110820587
Category : Language Arts & Disciplines
Languages : en
Pages : 392
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Book Description
CONTRIBUTIONS TO THE SOCIOLOGY OF LANGUAGE brings to students, researchers and practitioners in all of the social and language-related sciences carefully selected book-length publications dealing with sociolinguistic theory, methods, findings and applications. It approaches the study of language in society in its broadest sense, as a truly international and interdisciplinary field in which various approaches, theoretical and empirical, supplement and complement each other. The series invites the attention of linguists, language teachers of all interests, sociologists, political scientists, anthropologists, historians etc. to the development of the sociology of language.
Author: Seppo Pohjolainen
Publisher: Springer
ISBN: 3319714163
Category : Education
Languages : en
Pages : 199
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Book Description
This open access book provides a comprehensive overview of the core subjects comprising mathematical curricula for engineering studies in five European countries and identifies differences between two strong traditions of teaching mathematics to engineers. The collective work of experts from a dozen universities critically examines various aspects of higher mathematical education. The two EU Tempus-IV projects – MetaMath and MathGeAr – investigate the current methodologies of mathematics education for technical and engineering disciplines. The projects aim to improve the existing mathematics curricula in Russian, Georgian and Armenian universities by introducing modern technology-enhanced learning (TEL) methods and tools, as well as by shifting the focus of engineering mathematics education from a purely theoretical tradition to a more applied paradigm. MetaMath and MathGeAr have brought together mathematics educators, TEL specialists and experts in education quality assurance form 21 organizations across six countries. The results of a comprehensive comparative analysis of the entire spectrum of mathematics courses in the EU, Russia, Georgia and Armenia has been conducted, have allowed the consortium to pinpoint and introduce several modifications to their curricula while preserving the generally strong state of university mathematics education in these countriesThe book presents the methodology, procedure and results of this analysis. This book is a valuable resource for teachers, especially those teaching mathematics, and curriculum planners for engineers, as well as for a general audience interested in scientific and technical higher education.
Author: Irina Ghaplanyan
Publisher: Routledge
ISBN: 1315282674
Category : Social Science
Languages : en
Pages : 246
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Book Description
Following the collapse of the Soviet Union, Armenia has struggled to establish itself, with a faltering economy, emigration of the intelligentsia and the weakening of civil society. This book explores how a new national elite has emerged and how it has constructed a new national narrative to suit Armenia’s new circumstances. The book examines the importance of the Nagorno-Karabakh conflict with Azerbaijan, considers the impact of fraught relations with Turkey and the impact of relations with other neighbouring states including Russia, and discusses the poorly-developed role of the very large Armenian diaspora. Overall, the book provides a key overview to understanding the forces shaping all aspects of present-day Armenia.
Author: H. Chris Ransford
Publisher: Columbia University Press
ISBN: 3838270193
Category : Religion
Languages : en
Pages : 127
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Book Description
Drawing on the science and mathematics of infinity, H. Chris Ransford analyzes the traditional concept of godhood and reaches surprising conclusions. He addresses humankind's abiding core debate on the meaning of spirituality and God. Using mathematics, he explores key questions within this debate: for instance, why does evil exist if there is a God? The book fastidiously does not take sides nor proffers opinions, it only follows allowable mathematics wherever it leads. By doing so, it makes a major contribution to an understanding of the nature of reality.
Author: J.J. Tomiak
Publisher: Springer
ISBN: 134907179X
Category : Education
Languages : en
Pages : 225
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Book Description
Author: British Library. Document Supply Centre
Publisher:
ISBN:
Category : Conference proceedings
Languages : en
Pages : 844
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Book Description
