Author: W.B. Vasantha Kandasamy, Florentin Smarandache
Publisher: Infinite Study
ISBN: 1599731746
Category :
Languages : en
Pages : 344
Book Description
Natural Product Xn on Matrices
Author: W.B. Vasantha Kandasamy, Florentin Smarandache
Publisher: Infinite Study
ISBN: 1599731746
Category :
Languages : en
Pages : 344
Book Description
Publisher: Infinite Study
ISBN: 1599731746
Category :
Languages : en
Pages : 344
Book Description
MOD Natural Neutrosophic Subset Semigroups
Author: W. B. Vasantha Kandasamy
Publisher: Infinite Study
ISBN: 1599734850
Category :
Languages : en
Pages : 362
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
Publisher: Infinite Study
ISBN: 1599734850
Category :
Languages : en
Pages : 362
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
Exploring the Extension of Natural Operations on Intervals, Matrices and Complex Numbers
Author: W. B. Vasantha Kandasamy, Florentin Smarandache
Publisher: Infinite Study
ISBN: 1599731797
Category : Algebra
Languages : en
Pages : 152
Book Description
In this book we explore the possibility of extending the natural operations on reals to intervals and matrices. The extension to intervals makes us define a natural class of intervals in which we accept [a, b], a greater than b. Further, we introduce a complex modulo integer in Z_n (n, a positive integer) and denote it by iF with iF^2 = n-1.
Publisher: Infinite Study
ISBN: 1599731797
Category : Algebra
Languages : en
Pages : 152
Book Description
In this book we explore the possibility of extending the natural operations on reals to intervals and matrices. The extension to intervals makes us define a natural class of intervals in which we accept [a, b], a greater than b. Further, we introduce a complex modulo integer in Z_n (n, a positive integer) and denote it by iF with iF^2 = n-1.
Semigroups on MOD Natural Neutrosophic Elements
Author: W B Vasantha Kandasamy
Publisher: Infinite Study
ISBN: 1599733803
Category : Algebras, Linear
Languages : en
Pages : 234
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.
Publisher: Infinite Study
ISBN: 1599733803
Category : Algebras, Linear
Languages : en
Pages : 234
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.
Modern NMR Approaches to the Structure Elucidation of Natural Products
Author: Antony Williams
Publisher: Royal Society of Chemistry
ISBN: 1849734682
Category : Science
Languages : en
Pages : 533
Book Description
The Ghanian plant Cryptolepis sanguinolenta is the source of a series of fascinating indoloquinoline alkaloids. The most unusual member of this alkaloid series was initially proposed to be a spiro nonacyclic structure, named cryptospirolepine, and was elucidated in 1993 based on the technologies available at that time. There were, however, several annoying attributes to the structure that bothered analysts for the ensuing 22 years. During the two decades that followed the initial work there have been enormous developments in NMR technology. Using new experimental approaches, specifically homodecoupled 1,1- and 1,n-HD-ADEQUATE NMR experiments developed in 2014, the structure of only a 700 μg sample of cryptospirolepine has been revised and is shown on the cover of this volume. The confluence of the NMR technological and methodological advances that allowed the revision of the structure of cryptospirolepine using a submilligram sample seems a fitting example for this book, which is dedicated to the NMR characterization of various classes of natural products. Volume 2 considers data processing and algorithmic based analyses tailored to natural product structure elucidation and reviews the application of NMR to the analysis of a series of different natural product families including marine natural products, terpenes, steroids, alkaloids and carbohydrates. Volume 1 discusses contemporary NMR approaches including optimized and future hardware and experimental approaches to obtain both the highest quality and most appropriate spectral data for analysis. These books, bringing together acknowledged experts, uniquely focus on the combination of experimental approaches and modern hardware and software applied to the structure elucidation of natural products. The volumes will be an essential resource for NMR spectroscopists, natural product chemists and industrial researchers working on natural product analysis or the characterization of impurities and degradation products of pharmaceuticals that can be as scarce as natural product samples.
Publisher: Royal Society of Chemistry
ISBN: 1849734682
Category : Science
Languages : en
Pages : 533
Book Description
The Ghanian plant Cryptolepis sanguinolenta is the source of a series of fascinating indoloquinoline alkaloids. The most unusual member of this alkaloid series was initially proposed to be a spiro nonacyclic structure, named cryptospirolepine, and was elucidated in 1993 based on the technologies available at that time. There were, however, several annoying attributes to the structure that bothered analysts for the ensuing 22 years. During the two decades that followed the initial work there have been enormous developments in NMR technology. Using new experimental approaches, specifically homodecoupled 1,1- and 1,n-HD-ADEQUATE NMR experiments developed in 2014, the structure of only a 700 μg sample of cryptospirolepine has been revised and is shown on the cover of this volume. The confluence of the NMR technological and methodological advances that allowed the revision of the structure of cryptospirolepine using a submilligram sample seems a fitting example for this book, which is dedicated to the NMR characterization of various classes of natural products. Volume 2 considers data processing and algorithmic based analyses tailored to natural product structure elucidation and reviews the application of NMR to the analysis of a series of different natural product families including marine natural products, terpenes, steroids, alkaloids and carbohydrates. Volume 1 discusses contemporary NMR approaches including optimized and future hardware and experimental approaches to obtain both the highest quality and most appropriate spectral data for analysis. These books, bringing together acknowledged experts, uniquely focus on the combination of experimental approaches and modern hardware and software applied to the structure elucidation of natural products. The volumes will be an essential resource for NMR spectroscopists, natural product chemists and industrial researchers working on natural product analysis or the characterization of impurities and degradation products of pharmaceuticals that can be as scarce as natural product samples.
Subset Polynomial Semirings and Subset Matrix Semirings
Author: W. B. Vasantha Kandasamy
Publisher: Infinite Study
ISBN: 1599732238
Category : Mathematics
Languages : en
Pages : 269
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.
Publisher: Infinite Study
ISBN: 1599732238
Category : Mathematics
Languages : en
Pages : 269
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.
MOD Pseudo Linear Algebras
Author: W. B. Vasantha Kandasamy
Publisher: Infinite Study
ISBN: 1599733692
Category : Algebras, Linear
Languages : en
Pages : 271
Book Description
Publisher: Infinite Study
ISBN: 1599733692
Category : Algebras, Linear
Languages : en
Pages : 271
Book Description
Algebraic Structures on MOD Planes
Author: W. B. Vasantha Kandasamy
Publisher: Infinite Study
ISBN: 1599733676
Category : Algebras, Linear
Languages : en
Pages : 215
Book Description
Study of MOD planes happens to a very recent one. In this book, systematically algebraic structures on MOD planes like, MOD semigroups, MOD groups and MOD rings of different types are defined and studied. Such study is innovative for a large four quadrant planes are made into a small MOD planes. Several distinct features enjoyed by these MOD planes are defined, developed and described.
Publisher: Infinite Study
ISBN: 1599733676
Category : Algebras, Linear
Languages : en
Pages : 215
Book Description
Study of MOD planes happens to a very recent one. In this book, systematically algebraic structures on MOD planes like, MOD semigroups, MOD groups and MOD rings of different types are defined and studied. Such study is innovative for a large four quadrant planes are made into a small MOD planes. Several distinct features enjoyed by these MOD planes are defined, developed and described.
Mod Rectangular Natural Neutrosophic Numbers
Author: W. B. Vasantha Kandasamy
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 263
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.
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 263
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.
Neutrosophic Triplet Groups and their Applications to Mathematical Modelling
Author: W. B. Vasantha Kandasamy
Publisher: Infinite Study
ISBN: 1599735334
Category : Arithmetic groups
Languages : en
Pages : 268
Book Description
In this book we define new operations mainly to construct mathematical models akin to Fuzzy Cognitive Maps (FCMs) model, Neutrosophic Cognitive Maps (NCMs) model and Fuzzy Relational Maps (FRMs) model. These new models are defined in chapter four of this book. These new models can find applications in discrete Artificial Neural Networks, soft computing, and social network analysis whenever the concept of indeterminate is involved.
Publisher: Infinite Study
ISBN: 1599735334
Category : Arithmetic groups
Languages : en
Pages : 268
Book Description
In this book we define new operations mainly to construct mathematical models akin to Fuzzy Cognitive Maps (FCMs) model, Neutrosophic Cognitive Maps (NCMs) model and Fuzzy Relational Maps (FRMs) model. These new models are defined in chapter four of this book. These new models can find applications in discrete Artificial Neural Networks, soft computing, and social network analysis whenever the concept of indeterminate is involved.