Download or read book Problems on MOD Structures written by W B Vasantha Kandasamy and published by Infinite Study. This book was released on 2016 with total page 147 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Algebraic Structures on MOD Planes written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on 2015-11-01 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book MOD Graphs written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book MOD Natural Neutrosophic Subset Semigroups written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on 2016 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Download or read book MOD Relational Maps Models and MOD Natural Neutrosophic Relational Maps Models written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book MOD Cognitive Maps Models and MOD Natural Neutrosophic Cognitive Maps Models written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Semigroups on MOD Natural Neutrosophic Elements written by W B Vasantha Kandasamy and published by Infinite Study. This book was released on 2016 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book MOD Natural Neutrosophic Subset Topological Spaces and Kakutani s Theorem written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Special Type of Fixed Points of MOD Matrix Operators written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on 2016 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book authors for the first time introduce a special type of fixed points using MOD square matrix operators. These special type of fixed points are different from the usual classical fixed points. These special type of fixed points or special realized limit cycles are always guaranteed as we use only MOD matrices as operators with its entries from modulo integers. However this sort of results are NP hard problems if we use reals or complex numbers.
Download or read book Special Type of Fixed Point Pairs using MOD Rectangular Matrix Operators written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Mod Rectangular Natural Neutrosophic Numbers written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book The mod 2 Cohomology Structure of Certain Fibre Spaces written by William S. Massey and published by American Mathematical Soc.. This book was released on 1967 with total page 101 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Computational Intelligence for Network Structure Analytics written by Maoguo Gong and published by Springer. This book was released on 2017-09-19 with total page 293 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the latest research advances in complex network structure analytics based on computational intelligence (CI) approaches, particularly evolutionary optimization. Most if not all network issues are actually optimization problems, which are mostly NP-hard and challenge conventional optimization techniques. To effectively and efficiently solve these hard optimization problems, CI based network structure analytics offer significant advantages over conventional network analytics techniques. Meanwhile, using CI techniques may facilitate smart decision making by providing multiple options to choose from, while conventional methods can only offer a decision maker a single suggestion. In addition, CI based network structure analytics can greatly facilitate network modeling and analysis. And employing CI techniques to resolve network issues is likely to inspire other fields of study such as recommender systems, system biology, etc., which will in turn expand CI’s scope and applications. As a comprehensive text, the book covers a range of key topics, including network community discovery, evolutionary optimization, network structure balance analytics, network robustness analytics, community-based personalized recommendation, influence maximization, and biological network alignment. Offering a rich blend of theory and practice, the book is suitable for students, researchers and practitioners interested in network analytics and computational intelligence, both as a textbook and as a reference work.
Download or read book Variational Methods for Discontinuous Structures written by Raul Serapioni and published by Springer Science & Business Media. This book was released on 1996-08-28 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years many researchers in material science have focused their attention on the study of composite materials, equilibrium of crystals and crack distribution in continua subject to loads. At the same time several new issues in computer vision and image processing have been studied in depth. The understanding of many of these problems has made significant progress thanks to new methods developed in calculus of variations, geometric measure theory and partial differential equations. In particular, new technical tools have been introduced and successfully applied. For example, in order to describe the geometrical complexity of unknown patterns, a new class of problems in calculus of variations has been introduced together with a suitable functional setting: the free-discontinuity problems and the special BV and BH functions. The conference held at Villa Olmo on Lake Como in September 1994 spawned successful discussion of these topics among mathematicians, experts in computer science and material scientists.
Download or read book Automata for Branching and Layered Temporal Structures written by Gabriele Puppis and published by Springer Science & Business Media. This book was released on 2010-02-18 with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since 2002, FoLLI awards an annual prize for an outstanding dissertation in the fields of Logic, Language, and Information. This book is based on the Ph.D. thesis of Gabriele Puppis, who was the winner of the E.W. Beth dissertation award for 2007. Puppis' thesis focuses on Logic and Computation and, more specifically, on automata-based decidability techniques for time granularity and on a new method for deciding Monadic Second Order theories of trees. The results presented represent a significant step towards a better understanding of the changes in granularity levels that humans make so easily in cognition of time, space, and other phenomena, whereas their logical and computational structure poses difficult conceptual and computational challenges.
Download or read book The University of Colorado Catalogue written by University of Colorado and published by . This book was released on 1925 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Update 12 6 Military Occupational Classification and Structure Issue No 6 June 26 1995 written by and published by . This book was released on 1995 with total page 916 pages. Available in PDF, EPUB and Kindle. Book excerpt:
