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Book A Set of New Smarandache Functions  Sequences  and Conjectures

Download or read book A Set of New Smarandache Functions Sequences and Conjectures written by Felice Russo and published by Infinite Study. This book was released on 2000 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Scientia Magna  Vol  4  No  4  2008

Download or read book Scientia Magna Vol 4 No 4 2008 written by Zhang Wenpeng and published by Infinite Study. This book was released on with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: Papers on an equation involving the Smarandache function and its positive integer solutions, the Smarandache kn-digital subsequence, the Smarandache 3n-digital sequence and the Zhang Wenpeng's conjecture, the quintic supported spline wavelets with numerical integration and similar topics. Contributors: A. A. Majumdar, B. Chen, C. Shi, S. Wang, L. Zhang, A. Saeid, M. Haveshki, T. Veluchamy, P.S.Sivakkumar, and others.

Book Scientia Magna  Vol  4  No  1  2008

Download or read book Scientia Magna Vol 4 No 1 2008 written by Zhang Wenpeng and published by Infinite Study. This book was released on 2008 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of the Fourth International Conference on Number Theory and Smarandache Problems.

Book Smarandache Notions Journal  Vol  13

Download or read book Smarandache Notions Journal Vol 13 written by Jack Allen and published by Infinite Study. This book was released on 2002-12-01 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: The books are published by Smarandache Notions Journal. It is an electronic and hard-copy journal of research in mathematics. Besides this, occasionally It publishes papers of research in physics, philosophy, literary essays and creation, linguistics, and art work. Initially the journal was called "Smarandache Function Journal". Since 1996 to present the original journal was extended to the "Smarandache Notions Journal". It is annually published in the United States by the American Research Press in 1000 copies and on the internet.

Book Scientia Magna  Vol  3  No  4  2007

Download or read book Scientia Magna Vol 3 No 4 2007 written by Zhang Wenpeng and published by Infinite Study. This book was released on with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt: Papers on the mean value of the Smarandache LCM function, Pseudo-Smarandache-Squarefree function, the irrational root sieve sequence, assessment method for weight of experts at interval judgment, miscellaneous remark on problems involving Mersenne primes, a successive linear programming algorithm for SDP relaxation of binary quadratic programming, and other similar topics. Contributors: X. Pan, B. Liu, H. Liu, A. R. Gilani, B. N. Waphare, N. T. Quang, P. D. Tuan, S. Hussain, B. Ahmad, A. Jing , F. Liang, J. Wang, and many others.

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

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.

Book Smarandache Notions  Vol  14

Download or read book Smarandache Notions Vol 14 written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on 2004-01-01 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: Papers concerning any of the Smarandache type functions, sequences, numbers, algorithms, inferior/superior f-parts, magic squares, palindromes, functional iterations, semantic paradoxes, Non-Euclidean geometries, manifolds, conjectures, open problems, algebraic structures, neutrosophy, neutrosophic logic/set/probability, hypothesis that there is no speed barrier in the universe, quantum paradoxes, etc. have been selected for this volume. Contributors are from Australia, China, England, Germany, India, Ireland, Israel, Italy, Japan, Malaysia, Morocco, Portugal, Romania, Spain, USA. Most of the papers are in English, a few of them are in Spanish, Portuguese, or German.

Book The Math Encyclopedia of Smarandache type Notions

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.

Book Smarandache Function Journal  vol  11 2000

Download or read book Smarandache Function Journal vol 11 2000 written by V. Seleacu and published by Infinite Study. This book was released on with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: A collection of papers concerning Smarandache type functions, numbers, sequences, inteqer algorithms, paradoxes, experimental geometries, algebraic structures, neutrosophic probability, set, and logic, etc.

Book Sequences of Primes Obtained by the Method of Concatenation  Collected Papers

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.

Book Mathematical Reviews

Download or read book Mathematical Reviews written by and published by . This book was released on 2007 with total page 804 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Smarandache Function Journal  vol  12 2001

Download or read book Smarandache Function Journal vol 12 2001 written by Charles Ashbacher and published by Infinite Study. This book was released on with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: A collection of papers concerning Smarandache type functions, numbers, sequences, inteqer algorithms, paradoxes, experimental geometries, algebraic structures, neutrosophic probability, set, and logic, etc.

Book Octogon Mathematical Magazine

Download or read book Octogon Mathematical Magazine written by and published by . This book was released on 2004 with total page 1098 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book TWO HUNDRED AND THIRTEEN CONJECTURES ON PRIMES

Download or read book TWO HUNDRED AND THIRTEEN CONJECTURES ON PRIMES written by Marius Coman and published by Infinite Study. This book was released on 2015-02-15 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: In two of my previous published books, “Two hundred conjectures and one hundred and fifty open problems on Fermat pseudoprimes”, respectively “Conjectures on primes and Fermat pseudoprimes, many based on Smarandache function”, I already expressed my passion for integer numbers, especially for primes and Fermat pseudoprimes, fascinating numbers that seem to be a little bit more willing to let themselves ordered and understood than the prime numbers.

Book Generalized Partitions and New Ideas on Number Theory and Smarandache Sequences

Download or read book Generalized Partitions and New Ideas on Number Theory and Smarandache Sequences written by Amarnath Murthy and published by Infinite Study. This book was released on 2005-01-01 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: Florentin Smarandache is an incredible source of ideas, only some of which are mathematical in nature. Amarnath Murthy has published a large number of papers in the broad area of Smarandache Notions, which are math problems whose origin can be traced to Smarandache. This book is an edited version of many of those papers, most of which appeared in Smarandache Notions Journal, and more information about SNJ is available at http://www.gallup.unm.edu/~smarandache/ . The topics covered are very broad, although there are two main themes under which most of the material can be classified. A Smarandache Partition Function is an operation where a set or number is split into pieces and together they make up the original object. For example, a Smarandache Repeatable Reciprocal partition of unity is a set of natural numbers where the sum of the reciprocals is one. The first chapter of the book deals with various types of partitions and their properties and partitions also appear in some of the later sections.The second main theme is a set of sequences defined using various properties. For example, the Smarandache n2n sequence is formed by concatenating a natural number and its double in that order. Once a sequence is defined, then some properties of the sequence are examined. A common exploration is to ask how many primes are in the sequence or a slight modification of the sequence. The final chapter is a collection of problems that did not seem to be a precise fit in either of the previous two categories. For example, for any number d, is it possible to find a perfect square that has digit sum d? While many results are proven, a large number of problems are left open, leaving a great deal of room for further exploration.

Book Plucking from the Tree of Smarandache Functions and Sequences

Download or read book Plucking from the Tree of Smarandache Functions and Sequences written by Charles Ashbacher and published by Infinite Study. This book was released on 1998-01-01 with total page 80 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Smarandache Function Journal  vol  14 2004

Download or read book Smarandache Function Journal vol 14 2004 written by Sabin Tabirca and published by Infinite Study. This book was released on with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: A collection of papers concerning Smarandache type functions, numbers, sequences, inteqer algorithms, paradoxes, experimental geometries, algebraic structures, neutrosophic probability, set, and logic, etc.