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A Generalization Of The Smarandache Function
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Book Synopsis A generalization of the Smarandache function by : Hailong Li
Download or read book A generalization of the Smarandache function written by Hailong Li and published by Infinite Study. This book was released on with total page 4 pages. Available in PDF, EPUB and Kindle. Book excerpt: This function is a generalization of the famous Smarandache function S(n). The main purpose of this paper is using the elementary and analytic methods to study the mean value properties of P(n), and give two interesting mean value formulas for it.
Book Synopsis Smarandache Function Journal, vol. 10/1999 by : V. Seleacu
Download or read book Smarandache Function Journal, vol. 10/1999 written by V. Seleacu and published by Infinite Study. This book was released on with total page 213 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 Synopsis SOME CONNECTIONS BETWEEN THE SMARANDACHE FUNCTION AND THE FIBONACCI SEQUENCE by : C. Dumitrescu
Download or read book SOME CONNECTIONS BETWEEN THE SMARANDACHE FUNCTION AND THE FIBONACCI SEQUENCE written by C. Dumitrescu and published by Infinite Study. This book was released on with total page 11 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper is aimed to provide generalizations of the Smarandache function. They will be constructed by means of sequences more general than the sequence of the factorials. Such sequences are monotonously convergent to zero sequences and divisibility sequences (in particular the Fibonacci sequence).
Book Synopsis Smarandache Function Journal, vol. 12/2001 by : Charles Ashbacher
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 Synopsis Smarandache Function Journal, vol. 14/2004 by : Sabin Tabirca
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.
Book Synopsis A Set of New Smarandache Functions, Sequences, and Conjectures by : Felice Russo
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 Synopsis Smarandache Function Journal, vol. 6/1995 by : Charles Ashbacher
Download or read book Smarandache Function Journal, vol. 6/1995 written by Charles Ashbacher and published by Infinite Study. This book was released on with total page 73 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 Synopsis Smarandache Function, Vol. 6 by : C. Dumitrescu
Download or read book Smarandache Function, Vol. 6 written by C. Dumitrescu and published by Infinite Study. This book was released on 2000-08-01 with total page 74 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Smarandache Notions, Vol. 10 by : V. Seleacu
Download or read book Smarandache Notions, Vol. 10 written by V. Seleacu and published by Infinite Study. This book was released on 2000-08-01 with total page 211 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Generalized Partitions and New Ideas on Number Theory and Smarandache Sequences by : Amarnath Murthy
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 Synopsis Research on Smarandache Problems in Number Theory (collected papers), Vol. I by : Wenpeng Zhang
Download or read book Research on Smarandache Problems in Number Theory (collected papers), Vol. I written by Wenpeng Zhang and published by Infinite Study. This book was released on 2005-01-01 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: Number theory is an ancient subject, but we still cannot answer many simplest and most natural questions about the integers. Some old problems have been solved, but more arise. All the research for these ancient or new problems implicated and are still promoting the development of number theory and mathematics.American-Romanian number theorist Florentin Smarandache introduced hundreds of interest sequences and arithmetical functions, and presented many problems and conjectures in his life. In 1991, he published a book named Only problems, Not solutions!. He presented 105 unsolved arithmetical problems and conjectures about these functions and sequences in it. Already many researchers studied these sequences and functions from his book, and obtained important results.This book, Research on Smarandache Problems in Number Theory (Collected papers), contains 41 research papers involving the Smarandache sequences, functions, or problems and conjectures on them.All these papers are original. Some of them treat the mean value or hybrid mean value of Smarandache type functions, like the famous Smarandache function, Smarandache ceil function, or Smarandache primitive function. Others treat the mean value of some famous number theoretic functions acting on the Smarandache sequences, like k-th root sequence, k-th complement sequence, or factorial part sequence, etc. There are papers that study the convergent property of some infinite series involving the Smarandache type sequences. Some of these sequences have been first investigated too. In addition, new sequences as additive complement sequences are first studied in several papers of this book.Most authors of these papers are my students. After this chance, I hope they will be more interested in the mysterious integer and number theory!More future papers by my students will focus on the Smarandache notions, such as sequences, functions, constants, numbers, continued fractions, infinite products, series, etc. in number theory!List of the Contributors:Zhang Wenpeng, Xu Zhefeng, Zhang Xiaobeng, Zhu Minhui, Gao Nan, Guo Jinbao, He Yanfeng, Yang Mingshun, Li Chao, Gao Jing, Yi Yuan, Wang Xiaoying, Lv Chuan, Yao Weili, Gou Su, He Xiaolin, Li Hailong, Liu Duansen, Li Junzhuang, Liu Huaning, Zhang Tianping, Ding Liping, Li Jie, Lou Yuanbing, Zhao Xiqing, Zhao Xiaopeng, Yang Cundian, Liang Fangchi
Book Synopsis Smarandache 问题研究 (Chinese) by : Yuan Yi
Download or read book Smarandache 问题研究 (Chinese) written by Yuan Yi and published by Infinite Study. This book was released on 2006-01-01 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of papers and definitions in Chinese language related to Smarandache n-structures, generalized palindromes, functions, sequences, numbers, neutrosophic logic/set/probability/statistics, Smarandache geometries, etc.
Book Synopsis SCIENTIA MAGNA – International Book Series (vol. 12, no. 1) by : Huaning Liu
Download or read book SCIENTIA MAGNA – International Book Series (vol. 12, no. 1) written by Huaning Liu and published by Infinite Study. This book was released on with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: Scientia Magna international book series publish original research articles in all areas of mathematics and mathematical sciences. However, papers related to Smarandache’s problems will be highly preferred.
Book Synopsis SCIENTIA MAGNA: An international journal, Vol. 12, No. 1, 2017 by : Jing Huang
Download or read book SCIENTIA MAGNA: An international journal, Vol. 12, No. 1, 2017 written by Jing Huang and published by Infinite Study. This book was released on 2017-07-01 with total page 159 pages. Available in PDF, EPUB and Kindle. Book excerpt: Scientia Magna is a peer-reviewed, open access journal that publishes original research articles in all areas of mathematics and mathematical sciences. However, papers related to Smarandache’s problems will be highly preferred.
Book Synopsis Collected Papers, Vol. II by : Florentin Smarandache
Download or read book Collected Papers, Vol. II written by Florentin Smarandache and published by Infinite Study. This book was released on with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
Book Synopsis Smarandache Notions, Vol. 14 by : W. B. Vasantha Kandasamy
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.
