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Algebraic Structures On Finite Complex Modulo Integer Interval C 0 N


Algebraic Structures On Finite Complex Modulo Integer Interval C 0 N
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Algebraic Structures On Finite Complex Modulo Integer Interval C 0 N


Algebraic Structures On Finite Complex Modulo Integer Interval C 0 N
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Author : W. B. Vasantha Kandasamy
language : en
Publisher: Infinite Study
Release Date : 2014-09-16

Algebraic Structures On Finite Complex Modulo Integer Interval C 0 N 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 2014-09-16 with Mathematics categories.


In this book authors introduce the notion of finite complex modulo integer intervals. Finite complex modulo integers was introduced by the authors in 2011. Now using this finite complex modulo integer intervals several algebraic structures are built.



Special Type Of Topological Spaces Using 0 N


Special Type Of Topological Spaces Using 0 N
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Author : W. B. Vasantha Kandasamy
language : en
Publisher: Infinite Study
Release Date : 2015-02-15

Special Type Of Topological Spaces Using 0 N 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 2015-02-15 with Algebras, Linear categories.


In this book authors for the first time introduce the notion of special type of topological spaces using the interval [0, n). They are very different from the usual topological spaces. Algebraic structure using the interval [0, n) have been systemically dealt by the authors. Now using those algebraic structures in this book authors introduce the notion of special type of topological spaces. Using the super subset interval semigroup special type of super interval topological spaces are built.



Exploring The Extension Of Natural Operations On Intervals Matrices And Complex Numbers


Exploring The Extension Of Natural Operations On Intervals Matrices And Complex Numbers
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Author : W. B. Vasantha Kandasamy, Florentin Smarandache
language : en
Publisher: Infinite Study
Release Date : 2012

Exploring The Extension Of Natural Operations On Intervals Matrices And Complex Numbers written by W. B. Vasantha Kandasamy, 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 2012 with Algebra categories.


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.



Natural Neutrosophic Numbers And Mod Neutrosophic Numbers


Natural Neutrosophic Numbers And Mod Neutrosophic Numbers
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Author : W. B. Vasantha Kandasamy
language : en
Publisher: Infinite Study
Release Date : 2015

Natural Neutrosophic Numbers And Mod 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 2015 with Neutrosophic logic categories.


The authors in this book introduce a new class of natural neutrsophic numbers using MOD intervals. These natural MOD neutrosophic numbers behave in a different way for the product of two natural neutrosophic numbers can be neutrosophic zero divisors or idempotents or nilpotents. Several open problems are suggested in this book.



Non Associative Algebraic Structures On Mod Planes


Non Associative Algebraic Structures On Mod Planes
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Author : W. B. Vasantha Kandasamy
language : en
Publisher: Infinite Study
Release Date : 2015

Non Associative Algebraic Structures On Mod Planes 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 2015 with Algebras, Linear categories.


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.



Mastering Algebra


Mastering Algebra
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Author : Sachin Nambeesan
language : en
Publisher: Educohack Press
Release Date : 2025-02-20

Mastering Algebra written by Sachin Nambeesan and has been published by Educohack Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-02-20 with Science categories.


"Mastering Algebra" is a comprehensive and student-friendly exploration of fundamental principles and advanced applications of algebra, tailored specifically for undergraduate students. We provide a valuable resource for those seeking to deepen their understanding of algebraic theory and its diverse range of applications across various disciplines. Our book starts with foundational concepts such as algebraic manipulation, equation solving, and functions. It then progresses to more advanced topics, including linear algebra, abstract algebra, and algebraic geometry, offering a seamless transition from basic to advanced algebraic theory. What sets this book apart is its emphasis on clarity, coherence, and practical relevance. Each chapter is meticulously crafted to provide clear explanations of complex concepts, supported by illustrative examples and thought-provoking exercises that encourage active learning and critical thinking. Furthermore, "Mastering Algebra" highlights the practical applications of algebra in fields such as physics, computer science, engineering, and economics, demonstrating its importance and versatility in solving real-world problems. Whether you are a mathematics major looking to deepen your understanding of algebraic theory or a student from another discipline seeking to strengthen your quantitative skills, this book is your essential companion on the journey to mastering algebra. Prepare to embark on an enriching intellectual adventure that will empower you to unlock the full potential of algebraic concepts and their applications.



Acm Sigplan Notices


Acm Sigplan Notices
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Author :
language : en
Publisher:
Release Date : 1993-09

Acm Sigplan Notices written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-09 with Programming languages (Electronic computers) categories.




Proceedings Of The Twenty Sixth Midwest Symposium On Circuits And Systems


Proceedings Of The Twenty Sixth Midwest Symposium On Circuits And Systems
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Author : Edgar Sánchez-Sinencio
language : en
Publisher:
Release Date : 1983

Proceedings Of The Twenty Sixth Midwest Symposium On Circuits And Systems written by Edgar Sánchez-Sinencio and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983 with Electric circuits categories.




Infinite Quaternion Pseudo Rings Using 0 N


Infinite Quaternion Pseudo Rings Using 0 N
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Author : W. B. Vasantha Kandasamy
language : en
Publisher: Infinite Study
Release Date : 2015-04-07

Infinite Quaternion Pseudo Rings Using 0 N 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 2015-04-07 with Polynomial rings categories.


In this book authors study the properties of finite real quaternion ring which was introduced in [2000]. Here a complete study of these finite quaternion rings are made.



Principles Of Analysis


Principles Of Analysis
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Author : Hugo D. Junghenn
language : en
Publisher: CRC Press
Release Date : 2018-04-27

Principles Of Analysis written by Hugo D. Junghenn and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-04-27 with Mathematics categories.


Principles of Analysis: Measure, Integration, Functional Analysis, and Applications prepares readers for advanced courses in analysis, probability, harmonic analysis, and applied mathematics at the doctoral level. The book also helps them prepare for qualifying exams in real analysis. It is designed so that the reader or instructor may select topics suitable to their needs. The author presents the text in a clear and straightforward manner for the readers’ benefit. At the same time, the text is a thorough and rigorous examination of the essentials of measure, integration and functional analysis. The book includes a wide variety of detailed topics and serves as a valuable reference and as an efficient and streamlined examination of advanced real analysis. The text is divided into four distinct sections: Part I develops the general theory of Lebesgue integration; Part II is organized as a course in functional analysis; Part III discusses various advanced topics, building on material covered in the previous parts; Part IV includes two appendices with proofs of the change of the variable theorem and a joint continuity theorem. Additionally, the theory of metric spaces and of general topological spaces are covered in detail in a preliminary chapter . Features: Contains direct and concise proofs with attention to detail Features a substantial variety of interesting and nontrivial examples Includes nearly 700 exercises ranging from routine to challenging with hints for the more difficult exercises Provides an eclectic set of special topics and applications About the Author: Hugo D. Junghenn is a professor of mathematics at The George Washington University. He has published numerous journal articles and is the author of several books, including Option Valuation: A First Course in Financial Mathematics and A Course in Real Analysis. His research interests include functional analysis, semigroups, and probability.