Subset Polynomial Semirings and Subset Matrix Semirings

Subset Polynomial Semirings and Subset Matrix Semirings PDF Author: W. B. Vasantha Kandasamy
Publisher: Infinite Study
ISBN: 1599732238
Category : Mathematics
Languages : en
Pages : 269

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Book Description
In this book the authors introduce the new notions of subset polynomial semirings and subset matrix semirings. Solving subset polynomial equations is an interesting exercise. Open problems about the solution set of subset polynomials are proposed.

Subset Polynomial Semirings and Subset Matrix Semirings

Subset Polynomial Semirings and Subset Matrix Semirings PDF Author: W. B. Vasantha Kandasamy
Publisher: Infinite Study
ISBN: 1599732238
Category : Mathematics
Languages : en
Pages : 269

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Book Description
In this book the authors introduce the new notions of subset polynomial semirings and subset matrix semirings. Solving subset polynomial equations is an interesting exercise. Open problems about the solution set of subset polynomials are proposed.

Subset Non Associative Semirings

Subset Non Associative Semirings PDF Author: W. B. Vasantha Kandasamy
Publisher: Infinite Study
ISBN: 1599732254
Category :
Languages : en
Pages : 209

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Book Description


Subset Interval Groupoids

Subset Interval Groupoids PDF Author: W. B. Vasantha Kandasamy
Publisher: Infinite Study
ISBN: 1599732262
Category :
Languages : en
Pages : 248

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Book Description


The Encyclopedia of Neutrosophic Researchers, 1st volume

The Encyclopedia of Neutrosophic Researchers, 1st volume PDF Author: Florentin Smarandache
Publisher: Infinite Study
ISBN: 1599734680
Category : Mathematics
Languages : en
Pages : 232

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Book Description
This is the first volume of the Encyclopedia of Neutrosophic Researchers, edited from materials offered by the authors who responded to the editor’s invitation. The 78 authors are listed alphabetically. The introduction contains a short history of neutrosophics, together with links to the main papers and books. Neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics, neutrosophic measure, neutrosophic precalculus, neutrosophic calculus and so on are gaining significant attention in solving many real life problems that involve uncertainty, impreciseness, vagueness, incompleteness, inconsistent, and indeterminacy. In the past years the fields of neutrosophics have been extended and applied in various fields, such as: artificial intelligence, data mining, soft computing, decision making in incomplete / indeterminate / inconsistent information systems, image processing, computational modelling, robotics, medical diagnosis, biomedical engineering, investment problems, economic forecasting, social science, humanistic and practical achievements.

Special Type of Topological Spaces Using [0, n)

Special Type of Topological Spaces Using [0, n) PDF Author: W. B. Vasantha Kandasamy
Publisher: Infinite Study
ISBN: 1599733331
Category : Algebras, Linear
Languages : en
Pages : 230

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Book Description
In this book authors for the first time introduce the notion of special type of topological spaces using the interval [0, n). They are very different from the usual topological spaces. Algebraic structure using the interval [0, n) have been systemically dealt by the authors. Now using those algebraic structures in this book authors introduce the notion of special type of topological spaces. Using the super subset interval semigroup special type of super interval topological spaces are built.

Groupoids of Type I and II Using [0, n)

Groupoids of Type I and II Using [0, n) PDF Author: W. B. Vasantha Kandasamy
Publisher: Infinite Study
ISBN: 1599732734
Category : Mathematics
Languages : en
Pages : 180

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Book Description
Study of algebraic structures built using [0, n) looks to be one of interesting and innovative research. Here we define two types of groupoids using [0, n), both of them are of infinite order. It is an open conjecture to find whether this new class of groupoids satisfy any of the special identities like Moufang identity or Bol identity and so on.

Smarandache Semirings, Semifields, and Semivector Spaces

Smarandache Semirings, Semifields, and Semivector Spaces PDF Author: W. B. Vasantha Kandasamy
Publisher: Infinite Study
ISBN: 1931233624
Category : Mathematics
Languages : en
Pages : 122

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Book Description


Semirings, Automata, Languages

Semirings, Automata, Languages PDF Author: W. Kuich
Publisher: Springer Science & Business Media
ISBN: 3642699596
Category : Mathematics
Languages : en
Pages : 382

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Book Description
Automata theory is the oldest among the disciplines constituting the subject matter of this Monograph Series: theoretical computer science. Indeed, automata theory and the closely related theory of formal languages form nowadays such a highly developed and diversified body of knowledge that even an exposition of "reasonably important" results is not possible within one volume. The purpose of this book is to develop the theory of automata and formal languages, starting from ideas based on linear algebra. By what was said above, it should be obvious that we do not intend to be encyclopedic. However, this book contains the basics of regular and context-free languages (including some new results), as well as a rather complete theory of pushdown automata and variations (e. g. counter automata). The wellknown AFL theory is extended to power series ("AFP theory"). Additional new results include, for instance, a grammatical characterization of the cones and the principal cones of context-free languages, as well as new decidability results.

Tropical and Idempotent Mathematics

Tropical and Idempotent Mathematics PDF Author: Grigoriĭ Lazarevich Litvinov
Publisher: American Mathematical Soc.
ISBN: 0821847821
Category : Mathematics
Languages : en
Pages : 395

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Book Description
This volume is a collection of papers from the International Conference on Tropical and Idempotent Mathematics, held in Moscow, Russia in August 2007. This is a relatively new branch of mathematical sciences that has been rapidly developing and gaining popularity over the last decade. Tropical mathematics can be viewed as a result of the Maslov dequantization applied to 'traditional' mathematics over fields. Importantly, applications in econophysics and statistical mechanics lead to an explanation of the nature of financial crises. Another original application provides an analysis of instabilities in electrical power networks. Idempotent analysis, tropical algebra, and tropical geometry are the building blocks of the subject. Contributions to idempotent analysis are focused on the Hamilton-Jacobi semigroup, the max-plus finite element method, and on the representations of eigenfunctions of idempotent linear operators. Tropical algebras, consisting of plurisubharmonic functions and their germs, are examined. The volume also contains important surveys and research papers on tropical linear algebra and tropical convex geometry.

Algorithms and Theory of Computation Handbook

Algorithms and Theory of Computation Handbook PDF Author: Mikhail J. Atallah
Publisher: CRC Press
ISBN: 9781420049503
Category : Computers
Languages : en
Pages : 1328

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Book Description
Algorithms and Theory of Computation Handbook is a comprehensive collection of algorithms and data structures that also covers many theoretical issues. It offers a balanced perspective that reflects the needs of practitioners, including emphasis on applications within discussions on theoretical issues. Chapters include information on finite precision issues as well as discussion of specific algorithms where algorithmic techniques are of special importance, including graph drawing, robotics, forming a VLSI chip, vision and image processing, data compression, and cryptography. The book also presents some advanced topics in combinatorial optimization and parallel/distributed computing. • applications areas where algorithms and data structuring techniques are of special importance • graph drawing • robot algorithms • VLSI layout • vision and image processing algorithms • scheduling • electronic cash • data compression • dynamic graph algorithms • on-line algorithms • multidimensional data structures • cryptography • advanced topics in combinatorial optimization and parallel/distributed computing