MOD Pseudo Linear Algebras

MOD Pseudo Linear Algebras PDF Author: W. B. Vasantha Kandasamy
Publisher: Infinite Study
ISBN: 1599733692
Category : Algebras, Linear
Languages : en
Pages : 271

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Book Description

MOD Pseudo Linear Algebras

MOD Pseudo Linear Algebras PDF Author: W. B. Vasantha Kandasamy
Publisher: Infinite Study
ISBN: 1599733692
Category : Algebras, Linear
Languages : en
Pages : 271

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Book Description


Linear Algebra and Smarandache Linear Algebra

Linear Algebra and Smarandache Linear Algebra PDF Author: W. B. Vasantha Kandasamy
Publisher: Infinite Study
ISBN: 1931233756
Category : Mathematics
Languages : en
Pages : 175

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Book Description
In this book the author analyzes the Smarandache linear algebra, and introduces several other concepts like the Smarandache semilinear algebra, Smarandache bilinear algebra and Smarandache anti-linear algebra. We indicate that Smarandache vector spaces of type II will be used in the study of neutrosophic logic and its applications to Markov chains and Leontief Economic models ? both of these research topics have intense industrial applications. The Smarandache linear algebra, is defined to be a Smarandache vector space of type II, on which there is an additional operation called product, such that for all a, b in V, ab is in V.The Smarandache vector space of type II is defined to be a module V defined over a Smarandache ring R such that V is a vector space over a proper subset k of R, where k is a field.

Multidimensional MOD Planes. Series on MOD Mathematics

Multidimensional MOD Planes. Series on MOD Mathematics PDF Author: W. B. Vasantha Kandasamy
Publisher: Infinite Study
ISBN: 159973365X
Category : Neutrosophic logic
Languages : en
Pages : 234

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Book Description
The main purpose of this book is to define and develop the notion of multi-dimensional MOD planes. Here, several interesting features enjoyed by these multi-dimensional MOD planes are studied and analyzed. Interesting problems are proposed to the reader.

Introduction to Applied Linear Algebra

Introduction to Applied Linear Algebra PDF Author: Stephen Boyd
Publisher: Cambridge University Press
ISBN: 1316518965
Category : Business & Economics
Languages : en
Pages : 477

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Book Description
A groundbreaking introduction to vectors, matrices, and least squares for engineering applications, offering a wealth of practical examples.

Mod Rectangular Natural Neutrosophic Numbers

Mod Rectangular Natural Neutrosophic Numbers PDF Author: W. B. Vasantha Kandasamy
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 263

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Book Description
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 Graphs

MOD Graphs PDF Author: W. B. Vasantha Kandasamy
Publisher: Infinite Study
ISBN: 1599734699
Category :
Languages : en
Pages : 350

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Book Description
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 PDF Author: W. B. Vasantha Kandasamy
Publisher: Infinite Study
ISBN: 1599734850
Category :
Languages : en
Pages : 362

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Book Description
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 Relational Maps Models and MOD Natural Neutrosophic Relational Maps Models

MOD Relational Maps Models and MOD Natural Neutrosophic Relational Maps Models PDF Author: W. B. Vasantha Kandasamy
Publisher: Infinite Study
ISBN: 159973463X
Category :
Languages : en
Pages : 280

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Book Description
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 Cognitive Maps Models and MOD Natural Neutrosophic Cognitive Maps Models

MOD Cognitive Maps Models and MOD Natural Neutrosophic Cognitive Maps Models PDF Author: W. B. Vasantha Kandasamy
Publisher: Infinite Study
ISBN: 1599734621
Category :
Languages : en
Pages : 225

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Book Description
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.

Semigroups on MOD Natural Neutrosophic Elements

Semigroups on MOD Natural Neutrosophic Elements PDF Author: W B Vasantha Kandasamy
Publisher: Infinite Study
ISBN: 1599733803
Category : Algebras, Linear
Languages : en
Pages : 234

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Book Description
In this book the notion of semigroups under + is constructed using: the MOD natural neutrosophic integers, or MOD natural neutrosophic-neutrosophic numbers, or MOD natural neutrosophic finite complex modulo integer, or MOD natural neutrosophic dual number integers, or MOD natural neutrosophic special dual like number, or MOD natural neutrosophic special quasi dual numbers.