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Special Type Of Fixed Point Pairs Using Mod Rectangular Matrix Operators


Special Type Of Fixed Point Pairs Using Mod Rectangular Matrix Operators
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Special Type Of Fixed Point Pairs Using Mod Rectangular Matrix Operators


Special Type Of Fixed Point Pairs Using Mod Rectangular Matrix Operators
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Author : W. B. Vasantha Kandasamy
language : en
Publisher: Infinite Study
Release Date :

Special Type Of Fixed Point Pairs Using Mod Rectangular Matrix Operators written by W. B. Vasantha Kandasamy and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.


In this book authors for the first time define a special type of fixed points using MOD rectangular matrices as operators. In this case the special fixed points or limit cycles are pairs which is arrived after a finite number of iterations. Such study is both new and innovative for it can find lots of applications in mathematical modeling.



The Encyclopedia Of Neutrosophic Researchers 1st Volume


The Encyclopedia Of Neutrosophic Researchers 1st Volume
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Author : Florentin Smarandache
language : en
Publisher: Infinite Study
Release Date : 2016-11-12

The Encyclopedia Of Neutrosophic Researchers 1st Volume written by Florentin Smarandache and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-11-12 with Mathematics categories.


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.



Mod Rectangular Natural Neutrosophic Numbers


Mod Rectangular Natural Neutrosophic Numbers
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Author : W. B. Vasantha Kandasamy
language : en
Publisher: Infinite Study
Release Date :

Mod Rectangular Natural Neutrosophic Numbers written by W. B. Vasantha Kandasamy and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.


In this book authors introduce the new notion of MOD rectangular planes. The functions on them behave very differently when compared to MOD planes (square). These are different from the usual MOD planes. Algebraic structures on these MOD rectangular planes are defined and developed.



Mod Relational Maps Models And Mod Natural Neutrosophic Relational Maps Models


Mod Relational Maps Models And Mod Natural Neutrosophic Relational Maps Models
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Author : W. B. Vasantha Kandasamy
language : en
Publisher: Infinite Study
Release Date :

Mod Relational Maps Models And Mod Natural Neutrosophic Relational Maps Models written by W. B. Vasantha Kandasamy and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.


In this book the authors for the first time construct MOD Relational Maps model analogous to Fuzzy Relational Maps (FRMs) model or Neutrosophic Relational Maps (NRMs) model using the MOD rectangular or relational matrix. The advantage of using these models is that the MOD fixed point pair or MOD limit cycle pair is obtained after a finite number of iterations.



Mod Graphs


Mod Graphs
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Author : W. B. Vasantha Kandasamy
language : en
Publisher: Infinite Study
Release Date :

Mod Graphs written by W. B. Vasantha Kandasamy and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.


In this book the authors for the first time introduce, study and develop the notion of MOD graphs, MOD directed graphs, MOD finite complex number graphs, MOD neutrosophic graphs, MOD dual number graphs, and MOD directed natural neutrosophic graphs. There are open conjectures that can help researchers in the graph theory.



Mod Natural Neutrosophic Subset Semigroups


Mod Natural Neutrosophic Subset Semigroups
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Author : W. B. Vasantha Kandasamy
language : en
Publisher: Infinite Study
Release Date : 2016

Mod Natural Neutrosophic Subset Semigroups written by W. B. Vasantha Kandasamy and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016 with categories.


In this book the authors introduce for the first time the MOD Natural Subset Semigroups. They enjoy very many special properties. They are only semigroups even under addition. This book provides several open problems to the semigroup theorists



Mod Cognitive Maps Models And Mod Natural Neutrosophic Cognitive Maps Models


Mod Cognitive Maps Models And Mod Natural Neutrosophic Cognitive Maps Models
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Author : W. B. Vasantha Kandasamy
language : en
Publisher: Infinite Study
Release Date :

Mod Cognitive Maps Models And Mod Natural Neutrosophic Cognitive Maps Models written by W. B. Vasantha Kandasamy and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.


In this book authors for the first time introduce new mathematical models analogous to Fuzzy Cognitive Maps (FCMs) and Neutrosophic Cognitive Maps (NCMs) models. Several types of MOD Cognitive Maps models are constructed in this book. They are MOD Cognitive Maps model, MOD dual number Cognitive Maps model, MOD neutrosophic Cognitive Maps model, MOD finite complex number Cognitive Maps model, MOD special dual like number Cognitive Maps model, and MOD special quasi dual number Cognitive Maps model.



Mod Natural Neutrosophic Subset Topological Spaces And Kakutani S Theorem


Mod Natural Neutrosophic Subset Topological Spaces And Kakutani S Theorem
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Author : W. B. Vasantha Kandasamy
language : en
Publisher: Infinite Study
Release Date :

Mod Natural Neutrosophic Subset Topological Spaces And Kakutani S Theorem written by W. B. Vasantha Kandasamy and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.


In this book authors for the first time develop the notion of MOD natural neutrosophic subset special type of topological spaces using MOD natural neutrosophic dual numbers or MOD natural neutrosophic finite complex number or MOD natural neutrosophic-neutrosophic numbers and so on to build their respective MOD semigroups. Later they extend this concept to MOD interval subset semigroups and MOD interval neutrosophic subset semigroups. Using these MOD interval semigroups and MOD interval natural neutrosophic subset semigroups special type of subset topological spaces are built. Further using these MOD subsets we build MOD interval subset matrix semigroups and MOD interval subset matrix special type of matrix topological spaces. Likewise using MOD interval natural neutrosophic subsets matrices semigroups we can build MOD interval natural neutrosophic matrix subset special type of topological spaces. We also do build MOD subset coefficient polynomial special type of topological spaces. The final chapter mainly proposes several open conjectures about the validity of the Kakutani’s fixed point theorem for all MOD special type of subset topological spaces.



Counting Polynomial Matrices Over Finite Fields


Counting Polynomial Matrices Over Finite Fields
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Author : Julia Lieb
language : en
Publisher: BoD – Books on Demand
Release Date : 2017-09-15

Counting Polynomial Matrices Over Finite Fields written by Julia Lieb and has been published by BoD – Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-15 with Mathematics categories.


This book is dealing with three mathematical areas, namely polynomial matrices over finite fields, linear systems and coding theory. Primeness properties of polynomial matrices provide criteria for the reachability and observability of interconnected linear systems. Since time-discrete linear systems over finite fields and convolutional codes are basically the same objects, these results could be transferred to criteria for non-catastrophicity of convolutional codes. In particular, formulas for the number of pairwise coprime polynomials and for the number of mutually left coprime polynomial matrices are calculated. This leads to the probability that a parallel connected linear system is reachable and that a parallel connected convolutional code is non-catastrophic. Moreover, other networks of linear systems and convolutional codes are considered.



Physics Briefs


Physics Briefs
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Author :
language : en
Publisher:
Release Date : 1994

Physics Briefs written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Physics categories.