The Math Encyclopedia of Smarandache type Notions

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Publisher : Infinite Study
ISBN 13 : 1599732521
Total Pages : 136 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis The Math Encyclopedia of Smarandache type Notions by : Marius Coman

Download or read book The Math Encyclopedia of Smarandache type Notions written by Marius Coman and published by Infinite Study. This book was released on with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: About the works of Florentin Smarandache have been written a lot of books (he himself wrote dozens of books and articles regarding math, physics, literature, philosophy). Being a globally recognized personality in both mathematics (there are countless functions and concepts that bear his name) and literature, it is natural that the volume of writings about his research is huge. What we try to do with this encyclopedia is to gather together as much as we can both from Smarandache’s mathematical work and the works of many mathematicians around the world inspired by the Smarandache notions. We structured this book using numbered Definitions, Theorems, Conjectures, Notes and Comments, in order to facilitate an easier reading but also to facilitate references to a specific paragraph. We divided the Bibliography in two parts, Writings by Florentin Smarandache (indexed by the name of books and articles) and Writings on Smarandache notions (indexed by the name of authors). We treated, in this book, about 130 Smarandache type sequences, about 50 Smarandache type functions and many solved or open problems of number theory. We also have, at the end of this book, a proposal for a new Smarandache type notion, id est the concept of “a set of Smarandache-Coman divisors of order k of a composite positive integer n with m prime factors”, notion that seems to have promising applications, at a first glance at least in the study of absolute and relative Fermat pseudoprimes, Carmichael numbers and Poulet numbers. This encyclopedia is both for researchers that will have on hand a tool that will help them “navigate” in the universe of Smarandache type notions and for young math enthusiasts: many of them will be attached by this wonderful branch of mathematics, number theory, reading the works of Florentin Smarandache.

Conjectures on Primes and Fermat Pseudoprimes, Many Based on Smarandache Function

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Publisher : Infinite Study
ISBN 13 : 1599732769
Total Pages : 85 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis Conjectures on Primes and Fermat Pseudoprimes, Many Based on Smarandache Function by : Marius Coman

Download or read book Conjectures on Primes and Fermat Pseudoprimes, Many Based on Smarandache Function written by Marius Coman and published by Infinite Study. This book was released on with total page 85 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is always difficult to talk about arithmetic, because those who do not know what is about, nor do they understand in few sentences, no matter how inspired these might be, and those who know what is about, do no need to be told what is about. Arithmetic is that branch of mathematics that you keep it in your soul and in your mind, not in your suitcase or laptop. Part One of this book of collected papers aims to show new applications of Smarandache function in the study of some well known classes of numbers, like Sophie Germain primes, Poulet numbers, Carmichael numbers ets. Beside the well-known notions of number theory, we defined in these papers the following new concepts: “Smarandache-Coman divisors of order k of a composite integer n with m prime factors”, “Smarandache-Coman congruence on primes”, “Smarandache-Germain primes”, Coman-Smarandache criterion for primality”, “Smarandache-Korselt criterion”, “Smarandache-Coman constants”. Part Two of this book brings together several papers on few well known and less known types of primes.

Sequences of Primes Obtained by the Method of Concatenation (Collected Papers)

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Publisher : Infinite Study
ISBN 13 : 1599734664
Total Pages : 153 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis Sequences of Primes Obtained by the Method of Concatenation (Collected Papers) by : Marius Coman

Download or read book Sequences of Primes Obtained by the Method of Concatenation (Collected Papers) written by Marius Coman and published by Infinite Study. This book was released on 2016 with total page 153 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this book is to show that the method of concatenation can be a powerful tool in number theory and, in particular, in obtaining possible infinite sequences of primes. Part One of this book, “Primes in Smarandache concatenated sequences and Smarandache-Coman sequences of primes” , contains 12 papers on various sequences of primes that are distinguished among the terms of the well known Smarandache concatenated sequences. The sequences presented in this part are related to concatenation in three different ways: the sequence is obtained by the method of concatenation but the operation applied on its terms is some other arithmetical operation; the sequence is not obtained by concatenation but the operation applied on its terms is concatenation or both the sequence and the operation applied on its terms (in order to find sequences of primes) are using the method of concatenation. Part Two of this book, “Sequences of primes obtained by the method of concatenation” brings together 51 articles which aim, using the mentioned method, to highlight sequences of numbers which are rich in primes or are liable to lead to large primes. The method of concatenation is applied to different classes of numbers, e.g. Poulet numbers, twin primes, reversible primes, triangular numbers, repdigits, factorial numbers, fibonorial numbers, primordial numbers in order to obtain sequences of primes.

Smarandache Notions, Vol. 12 (Proceedings of the Second International Conference on Smarandache Type Notions in Mathematics and Quantum Physics)

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Publisher : Infinite Study
ISBN 13 : 1931233284
Total Pages : 368 pages
Book Rating : 4.9/5 (312 download)

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Book Synopsis Smarandache Notions, Vol. 12 (Proceedings of the Second International Conference on Smarandache Type Notions in Mathematics and Quantum Physics) by : Leonardo Motta

Download or read book Smarandache Notions, Vol. 12 (Proceedings of the Second International Conference on Smarandache Type Notions in Mathematics and Quantum Physics) written by Leonardo Motta and published by Infinite Study. This book was released on 2001-01-01 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Collected Papers. Volume III

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Publisher : Infinite Study
ISBN 13 : 9738102014
Total Pages : 161 pages
Book Rating : 4.7/5 (381 download)

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Book Synopsis Collected Papers. Volume III by : Florentin Smarandache

Download or read book Collected Papers. Volume III written by Florentin Smarandache and published by Infinite Study. This book was released on 2000-06-01 with total page 161 pages. Available in PDF, EPUB and Kindle. Book excerpt: Collected papers and short articles on different mathematical topics.

A Unifying Field in Logics: Neutrosophic Logic. Neutrosophic Probability, Neutrosophic Statistics, Neutrosophic Set. (second version)

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Publisher : Infinite Study
ISBN 13 :
Total Pages : 55 pages
Book Rating : 4./5 ( download)

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Book Synopsis A Unifying Field in Logics: Neutrosophic Logic. Neutrosophic Probability, Neutrosophic Statistics, Neutrosophic Set. (second version) by : FLORENTIN SMARANDACHE

Download or read book A Unifying Field in Logics: Neutrosophic Logic. Neutrosophic Probability, Neutrosophic Statistics, Neutrosophic Set. (second version) written by FLORENTIN SMARANDACHE and published by Infinite Study. This book was released on with total page 55 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subsets T, I, F are not necessarily intervals, but may be any real subsets: discrete or continuous; single-element, finite, or (either countably or uncountably) infinite; union or intersection of various subsets; etc.

Smarandache Notions

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Publisher :
ISBN 13 :
Total Pages : 422 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Smarandache Notions by :

Download or read book Smarandache Notions written by and published by . This book was released on 2004 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Reviews

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Publisher :
ISBN 13 :
Total Pages : 1092 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Mathematical Reviews by :

Download or read book Mathematical Reviews written by and published by . This book was released on 1999 with total page 1092 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Research on the topics of neutrosophic operations research

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Publisher : Infinite Study
ISBN 13 :
Total Pages : 366 pages
Book Rating : 4./5 ( download)

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Book Synopsis Research on the topics of neutrosophic operations research by : Florentin Smarandache

Download or read book Research on the topics of neutrosophic operations research written by Florentin Smarandache and published by Infinite Study. This book was released on 2023-08-10 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this volume, we present a set of research that was published in cooperation with a number of researchers and those interested in keeping pace with the great scientific development that our contemporary world is witnessing, and one of its products was neutrosophic science, which was founded by the American scientist and mathematical philosopher Florentin Smarandache in 1995. Through it, we present a new vision for some research methods. Operations research to the concepts of this science.

A Unifying Field in Logics: Neutrosophic Logic. Neutrosophy, Neutrosophic Set, Neutrosophic Probability (fourth edition)

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Publisher : Infinite Study
ISBN 13 : 1599730804
Total Pages : 157 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis A Unifying Field in Logics: Neutrosophic Logic. Neutrosophy, Neutrosophic Set, Neutrosophic Probability (fourth edition) by : Florentin Smarandache

Download or read book A Unifying Field in Logics: Neutrosophic Logic. Neutrosophy, Neutrosophic Set, Neutrosophic Probability (fourth edition) written by Florentin Smarandache and published by Infinite Study. This book was released on 2005 with total page 157 pages. Available in PDF, EPUB and Kindle. Book excerpt: N-Norm and N-conorm are extended in Neutrosophic Logic/Set.

MATHEMATICAL COMBINATORICS (INTERNATIONAL BOOK SERIES)

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Publisher : Infinite Study
ISBN 13 :
Total Pages : 135 pages
Book Rating : 4./5 ( download)

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Book Synopsis MATHEMATICAL COMBINATORICS (INTERNATIONAL BOOK SERIES) by : Linfan MAO

Download or read book MATHEMATICAL COMBINATORICS (INTERNATIONAL BOOK SERIES) written by Linfan MAO and published by Infinite Study. This book was released on 2013 with total page 135 pages. Available in PDF, EPUB and Kindle. Book excerpt: The mathematical combinatorics is a subject that applying combinatorial notion to all mathematics and all sciences for understanding the reality of things in the universe, motivated by CC Conjecture of Dr.Linfan MAO on mathematical sciences. TheMathematical Combinatorics (International Book Series) is a fully refereed international book series with an ISBN number on each issue, sponsored by the MADIS of Chinese Academy of Sciences and published in USA quarterly, which publishes original research papers and survey articles in all aspects of mathematical combinatorics, Smarandachemulti-spaces, Smarandache geometries, non-Euclidean geometry, topology and their applications to other sciences.

Mathematics Unlimited - 2001 and Beyond

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Publisher : Springer
ISBN 13 : 364256478X
Total Pages : 1219 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Mathematics Unlimited - 2001 and Beyond by : Björn Engquist

Download or read book Mathematics Unlimited - 2001 and Beyond written by Björn Engquist and published by Springer. This book was released on 2017-04-05 with total page 1219 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a book guaranteed to delight the reader. It not only depicts the state of mathematics at the end of the century, but is also full of remarkable insights into its future de- velopment as we enter a new millennium. True to its title, the book extends beyond the spectrum of mathematics to in- clude contributions from other related sciences. You will enjoy reading the many stimulating contributions and gain insights into the astounding progress of mathematics and the perspectives for its future. One of the editors, Björn Eng- quist, is a world-renowned researcher in computational sci- ence and engineering. The second editor, Wilfried Schmid, is a distinguished mathematician at Harvard University. Likewi- se the authors are all foremost mathematicians and scien- tists, and their biographies and photographs appear at the end of the book. Unique in both form and content, this is a "must-read" for every mathematician and scientist and, in particular, for graduates still choosing their specialty. Limited collector's edition - an exclusive and timeless work. This special, numbered edition will be available until June 1, 2000. Firm orders only.

Further Theory of Neutrosophic Triplet Topology and Applications

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Publisher : Infinite Study
ISBN 13 :
Total Pages : 12 pages
Book Rating : 4./5 ( download)

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Book Synopsis Further Theory of Neutrosophic Triplet Topology and Applications by : Mohammed A. Al Shumrani

Download or read book Further Theory of Neutrosophic Triplet Topology and Applications written by Mohammed A. Al Shumrani and published by Infinite Study. This book was released on with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper we study and develop the Neutrosophic Triplet Topology (NTT) that was recently introduced by Sahin et al. Like classical topology, the NTT tells how the elements of a set relate spatially to each other in a more comprehensive way using the idea of Neutrosophic Triplet Sets.

Concise Encyclopedia of Coding Theory

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Publisher : CRC Press
ISBN 13 : 1351375105
Total Pages : 998 pages
Book Rating : 4.3/5 (513 download)

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Book Synopsis Concise Encyclopedia of Coding Theory by : W. Cary Huffman

Download or read book Concise Encyclopedia of Coding Theory written by W. Cary Huffman and published by CRC Press. This book was released on 2021-03-26 with total page 998 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most coding theory experts date the origin of the subject with the 1948 publication of A Mathematical Theory of Communication by Claude Shannon. Since then, coding theory has grown into a discipline with many practical applications (antennas, networks, memories), requiring various mathematical techniques, from commutative algebra, to semi-definite programming, to algebraic geometry. Most topics covered in the Concise Encyclopedia of Coding Theory are presented in short sections at an introductory level and progress from basic to advanced level, with definitions, examples, and many references. The book is divided into three parts: Part I fundamentals: cyclic codes, skew cyclic codes, quasi-cyclic codes, self-dual codes, codes and designs, codes over rings, convolutional codes, performance bounds Part II families: AG codes, group algebra codes, few-weight codes, Boolean function codes, codes over graphs Part III applications: alternative metrics, algorithmic techniques, interpolation decoding, pseudo-random sequences, lattices, quantum coding, space-time codes, network coding, distributed storage, secret-sharing, and code-based-cryptography. Features Suitable for students and researchers in a wide range of mathematical disciplines Contains many examples and references Most topics take the reader to the frontiers of research

On Neutrosophic Extended Triplet LA-hypergroups and Strong Pure LA-semihypergroups

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Publisher : Infinite Study
ISBN 13 :
Total Pages : 24 pages
Book Rating : 4./5 ( download)

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Book Synopsis On Neutrosophic Extended Triplet LA-hypergroups and Strong Pure LA-semihypergroups by : Minghao Hu

Download or read book On Neutrosophic Extended Triplet LA-hypergroups and Strong Pure LA-semihypergroups written by Minghao Hu and published by Infinite Study. This book was released on with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt: We introduce the notions of neutrosophic extended triplet LA-semihypergroup, neutrosophic extended triplet LA-hypergroup, which can reflect some symmetry of hyperoperation and discuss the relationships among them and regular LA-semihypergroups, LA-hypergroups, regular LA-hypergroups. In particular, we introduce the notion of strong pure neutrosophic extended triplet LA-semihypergroup, get some special properties of it and prove the construction theorem about it under the condition of asymmetry. The examples in this paper are all from Python programs.

An Approach toward a Q-Neutrosophic Soft Set and Its Application in Decision Making

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Publisher : Infinite Study
ISBN 13 :
Total Pages : 18 pages
Book Rating : 4./5 ( download)

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Book Synopsis An Approach toward a Q-Neutrosophic Soft Set and Its Application in Decision Making by : Majdoleen Abu Qamar

Download or read book An Approach toward a Q-Neutrosophic Soft Set and Its Application in Decision Making written by Majdoleen Abu Qamar and published by Infinite Study. This book was released on with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt: A neutrosophic set was proposed as an approach to study neutral uncertain information. It is characterized through three memberships, T, I and F, such that these independent functions stand for the truth, indeterminate, and false-membership degrees of an object. The neutrosophic set presents a symmetric form since truth enrolment T is symmetric to its opposite false enrolment F with respect to indeterminacy enrolment I that acts as an axis of symmetry.

Neutrosophy

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ISBN 13 :
Total Pages : 110 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Neutrosophy by : Florentin Smarandache

Download or read book Neutrosophy written by Florentin Smarandache and published by . This book was released on 1998 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt: