Author: W. B. Vasantha Kandasamy, Florentin Smarandache
Publisher: Infinite Study
ISBN: 1599731851
Category :
Languages : en
Pages : 248

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Book Description

Author: W. B. Vasantha Kandasamy, Florentin Smarandache
Publisher: Infinite Study
ISBN: 1599731924
Category : Mathematics
Languages : en
Pages : 195

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Book Description

Author: W B Vasantha Kandasamy
Publisher: Infinite Study
ISBN: 159973379X
Category : Neutrosophic logic
Languages : en
Pages : 147

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Book Description
The study of MOD Structures is new and innovative. The authors in this book propose several problems on MOD Structures, some of which are at the research level.

Author: W. B. Vasantha Kandasamy
Publisher: Infinite Study
ISBN: 1599733684
Category : Algebras, Linear
Languages : en
Pages : 212

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Book Description
In this book authors for the first time construct non-associative algebraic structures on the MOD planes. Using MOD planes we can construct infinite number of groupoids for a fixed m and all these MOD groupoids are of infinite cardinality. Special identities satisfied by these MOD groupoids build using the six types of MOD planes are studied. Further, the new concept of special pseudo zero of these groupoids are defined, described and developed. Also conditions for these MOD groupoids to have special elements like idempotent, special pseudo zero divisors and special pseudo nilpotent are obtained. Further non-associative MOD rings are constructed using MOD groupoids and commutative rings with unit. That is the MOD groupoid rings gives infinitely many non-associative ring. These rings are analysed for substructures and special elements. This study is new and innovative and several open problems are suggested.

Author: W. B. Vasantha Kandasamy
Publisher: Infinite Study
ISBN: 1599736012
Category : Mathematics
Languages : en
Pages : 319

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Book Description
In this book any network which can be represented as a multigraph is referred to as a multi network. Several properties of multigraphs have been described and developed in this book. When multi path or multi walk or multi trail is considered in a multigraph, it is seen that there can be many multi walks, and so on between any two nodes and this makes multigraphs very different.

Author: W. B. Vasantha Kandasamy
Publisher: Infinite Study
ISBN: 1599735644
Category : Mathematics
Languages : en
Pages : 245

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Book Description
Authors in this book study the notion of Smarandache element in multiset semigroups. It is important to keep on record that we define four operations on multisets viz. +, X, union and intersection in a free way. Thus all sets finite or infinite order contribute to infinite order multisets and the semigroup under any of these operations is of infinite order.

Author: W. B. Vasantha Kandasamy, Florentin Smarandache
Publisher: Infinite Study
ISBN: 1599732122
Category : Mathematics
Languages : en
Pages : 168

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Author: Sinai Robins
Publisher: American Mathematical Society
ISBN: 1470470330
Category : Mathematics
Languages : en
Pages : 352

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Book Description
This book offers a gentle introduction to the geometry of numbers from a modern Fourier-analytic point of view. One of the main themes is the transfer of geometric knowledge of a polytope to analytic knowledge of its Fourier transform. The Fourier transform preserves all of the information of a polytope, and turns its geometry into analysis. The approach is unique, and streamlines this emerging field by presenting new simple proofs of some basic results of the field. In addition, each chapter is fitted with many exercises, some of which have solutions and hints in an appendix. Thus, an individual learner will have an easier time absorbing the material on their own, or as part of a class. Overall, this book provides an introduction appropriate for an advanced undergraduate, a beginning graduate student, or researcher interested in exploring this important expanding field.

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.

Author: W. B. Vasantha Kandasamy
Publisher: Infinite Study
ISBN: 1599734869
Category : Neutrosophic logic
Languages : en
Pages : 228

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Book Description
In this book authors for the first time introduce the notion of strong neutrosophic graphs. They are very different from the usual graphs and neutrosophic graphs. Using these new structures special subgraph topological spaces are defined. Further special lattice graph of subgraphs of these graphs are defined and described. Several interesting properties using subgraphs of a strong neutrosophic graph are obtained. Several open conjectures are proposed. These new class of strong neutrosophic graphs will certainly find applications in Neutrosophic Cognitive Maps (NCM), Neutrosophic Relational Maps (NRM) and Neutrosophic Relational Equations (NRE) with appropriate modifications.