Collection of Problems on Smarandache Notions

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Publisher : Infinite Study
ISBN 13 : 1879585502
Total Pages : 75 pages
Book Rating : 4.8/5 (795 download)

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Book Synopsis Collection of Problems on Smarandache Notions by : Charles Ashbacher

Download or read book Collection of Problems on Smarandache Notions written by Charles Ashbacher and published by Infinite Study. This book was released on 1996 with total page 75 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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.

Comments and Topics on Smarandache Notions and Problems

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Publisher : Infinite Study
ISBN 13 : 1879585553
Total Pages : 51 pages
Book Rating : 4.8/5 (795 download)

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Book Synopsis Comments and Topics on Smarandache Notions and Problems by : Kenichiro Kashihara

Download or read book Comments and Topics on Smarandache Notions and Problems written by Kenichiro Kashihara and published by Infinite Study. This book was released on 1996 with total page 51 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Research on Smarandache Problems in Number Theory (collected papers), Vol. II

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Publisher : Infinite Study
ISBN 13 : 1931233993
Total Pages : 157 pages
Book Rating : 4.9/5 (312 download)

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Book Synopsis Research on Smarandache Problems in Number Theory (collected papers), Vol. II by : Wenpeng Zhang

Download or read book Research on Smarandache Problems in Number Theory (collected papers), Vol. II written by Wenpeng Zhang and published by Infinite Study. This book was released on 2005-12 with total page 157 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains 34 papers, most of which were written by participants to the First Northwest Number Theory Conference held in Shangluo Teacher?s College, China, in March, 2005. In this Conference, several professors gave a talk on Smarandache Problems and many participants lectured on them both extensively and intensively. All these papers are original and have been refereed. The themes of these papers range from the mean value or hybrid mean value of Smarandache type functions, the mean value of some famous number theoretic functions acting on the Smarandache sequences, to the convergence property of some infinite series involving the Smarandache type sequences.

Smarandache Notions, Vol. 10

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Publisher : Infinite Study
ISBN 13 : 1879585685
Total Pages : 211 pages
Book Rating : 4.8/5 (795 download)

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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:

Research on Smarandache Problems in Number Theory (collected papers), Vol. I

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Publisher : Infinite Study
ISBN 13 : 1931233888
Total Pages : 178 pages
Book Rating : 4.9/5 (312 download)

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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

On Some of the Smarandache's Problems, Vol. I

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Publisher : Infinite Study
ISBN 13 : 1879585723
Total Pages : 89 pages
Book Rating : 4.8/5 (795 download)

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Book Synopsis On Some of the Smarandache's Problems, Vol. I by : Krassimir T. Atanassov

Download or read book On Some of the Smarandache's Problems, Vol. I written by Krassimir T. Atanassov and published by Infinite Study. This book was released on 2000 with total page 89 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Smarandache Semigroups

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Publisher : Infinite Study
ISBN 13 : 1931233594
Total Pages : 95 pages
Book Rating : 4.9/5 (312 download)

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Book Synopsis Smarandache Semigroups by : W. B. Vasantha Kandasamy

Download or read book Smarandache Semigroups written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on 2002-12-01 with total page 95 pages. Available in PDF, EPUB and Kindle. Book excerpt: Generally, in any human field, a Smarandache Structure on a set A means a weak structure W on A such that there exists a proper subset B in A which is embedded with a stronger structure S.These types of structures occur in our everyday life, that?s why we study them in this book.Thus, as a particular case:A Smarandache Semigroup is a semigroup A which has a proper subset B in A that is a group (with respect to the same binary operation on A).

A Set of New Smarandache Functions, Sequences, and Conjectures

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Publisher : Infinite Study
ISBN 13 : 1879585839
Total Pages : 108 pages
Book Rating : 4.8/5 (795 download)

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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:

Smarandache Notions, Vol. 11

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Publisher : Infinite Study
ISBN 13 : 1879585782
Total Pages : 325 pages
Book Rating : 4.8/5 (795 download)

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Book Synopsis Smarandache Notions, Vol. 11 by : V. Seleacu

Download or read book Smarandache Notions, Vol. 11 written by V. Seleacu and published by Infinite Study. This book was released on 2000-08-01 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Plucking from the Tree of Smarandache Functions and Sequences

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Publisher : Infinite Study
ISBN 13 : 1879585618
Total Pages : 80 pages
Book Rating : 4.8/5 (795 download)

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Book Synopsis Plucking from the Tree of Smarandache Functions and Sequences by : Charles Ashbacher

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:

Smarandache Function Journal, vol. 14/2004

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Publisher : Infinite Study
ISBN 13 :
Total Pages : 418 pages
Book Rating : 4./5 ( download)

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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.

Unsolved Problems in Special and General Relativity

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Publisher : Infinite Study
ISBN 13 : 1599732203
Total Pages : 319 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis Unsolved Problems in Special and General Relativity by : Florentin Smarandache

Download or read book Unsolved Problems in Special and General Relativity written by Florentin Smarandache and published by Infinite Study. This book was released on 2013 with total page 319 pages. Available in PDF, EPUB and Kindle. Book excerpt:

SCIENTIFIC ELEMENTS (International Book Series), Vol. I, Applications of Smarandache's Notions to Mathematics, Physics, and Other Sciences

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Publisher : Infinite Study
ISBN 13 : 1599730413
Total Pages : 202 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis SCIENTIFIC ELEMENTS (International Book Series), Vol. I, Applications of Smarandache's Notions to Mathematics, Physics, and Other Sciences by : editors:Yuhua Fu, Linfan Mao, and Mihaly Bencze

Download or read book SCIENTIFIC ELEMENTS (International Book Series), Vol. I, Applications of Smarandache's Notions to Mathematics, Physics, and Other Sciences written by editors:Yuhua Fu, Linfan Mao, and Mihaly Bencze and published by Infinite Study. This book was released on 2007 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Scientific Elements is an international book series, maybe with different subtitles. This series is devoted to the applications of Smarandache?s notions and to mathematical combinatorics. These are two heartening mathematical theories for sciences and can be applied to many fields. This book selects 12 papers for showing applications of Smarandache's notions, such as those of Smarandache multi-spaces, Smarandache geometries, Neutrosophy, etc. to classical mathematics, theoretical and experimental physics, logic, cosmology. Looking at these elementary applications, we can experience their great potential for developing sciences. 12 authors contributed to this volume: Linfan Mao, Yuhua Fu, Shenglin Cao, Jingsong Feng, Changwei Hu, Zhengda Luo, Hao Ji, Xinwei Huang, Yiying Guan, Tianyu Guan, Shuan Chen, and Yan Zhang.

Collected Papers, Vol. II

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Publisher : Infinite Study
ISBN 13 : 193123342X
Total Pages : 202 pages
Book Rating : 4.9/5 (312 download)

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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:

Multispace & Multistructure. Neutrosophic Transdisciplinarity (100 Collected Papers of Science)

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Publisher : Infinite Study
ISBN 13 : 9526734920
Total Pages : 802 pages
Book Rating : 4.5/5 (267 download)

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Book Synopsis Multispace & Multistructure. Neutrosophic Transdisciplinarity (100 Collected Papers of Science) by : Florentin Smarandache

Download or read book Multispace & Multistructure. Neutrosophic Transdisciplinarity (100 Collected Papers of Science) written by Florentin Smarandache and published by Infinite Study. This book was released on 2010 with total page 802 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an eclectic tome of 100 papers in various fields of sciences, alphabetically listed, such as: astronomy, biology, calculus, chemistry, computer programming codification, economics and business and politics, education and administration, game theory, geometry, graph theory,information fusion, neutrosophic logic and set, non-Euclidean geometry, number theory, paradoxes, philosophy of science, psychology, quantum physics, scientific research methods, and statistics ¿ containing 800 pages.It was my preoccupation and collaboration as author, co-author, translator, or co-translator, and editor with many scientists from around the world for long time. Many ideas from this book are to be developed and expanded in future explorations.

Scientia Magna, Vol. 3, No. 3, 2007

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Publisher : Infinite Study
ISBN 13 : 1599730456
Total Pages : 118 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis Scientia Magna, Vol. 3, No. 3, 2007 by : Zhang Wenpeng

Download or read book Scientia Magna, Vol. 3, No. 3, 2007 written by Zhang Wenpeng and published by Infinite Study. This book was released on with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt: Papers on some faces of Smarandache semigroups' concept in transformation semigroups' approach, the hybrid power mean of the character sums and the general Kloosterman sums, an equation involving the square sum of natural numbers and Smarandache primitive function, Some Dirichlet series involving special sequences, and other similar topics. Contributors: F. Ayatollah, G. Feng, N. Quang, P. Tuan, A.A.K. Majumdar, Y. Wang, B.E. Carvajal-Gamez, C. Aguilar-Chavez, L. Cheng, and many others.