On A Dual Of The Pseudo Smarandache Function
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On A Dual Of The Pseudo Smarandache Function
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Author : Jozsef Sandor
language : en
Publisher: Infinite Study
Release Date :
On A Dual Of The Pseudo Smarandache Function written by Jozsef Sandor and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
We have defined certain generalizations and extensions of the Smarandache function.
Geometric Theorems And Arithmetic Functions
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Author : József Sándor
language : en
Publisher: Infinite Study
Release Date : 2002
Geometric Theorems And Arithmetic Functions written by József Sándor and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.
Geometric Theorems Diophantine Equations And Arithmetic Functions
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Author : J. Sándor
language : en
Publisher: Infinite Study
Release Date : 2002
Geometric Theorems Diophantine Equations And Arithmetic Functions written by J. Sándor and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Arithmetic functions categories.
Research On Smarandache Problems In Number Theory Collected Papers Vol I
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Author : Wenpeng Zhang
language : en
Publisher: Infinite Study
Release Date : 2005-01-01
Research On Smarandache Problems In Number Theory Collected Papers Vol I written by Wenpeng Zhang and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-01-01 with Mathematics categories.
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
Smarandache Function Journal Vol 14 2004
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Author : Sabin Tabirca
language : en
Publisher: Infinite Study
Release Date :
Smarandache Function Journal Vol 14 2004 written by Sabin Tabirca and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
A collection of papers concerning Smarandache type functions, numbers, sequences, inteqer algorithms, paradoxes, experimental geometries, algebraic structures, neutrosophic probability, set, and logic, etc.
The Math Encyclopedia Of Smarandache Type Notions
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Author : Marius Coman
language : en
Publisher: Infinite Study
Release Date :
The Math Encyclopedia Of Smarandache Type Notions written by Marius Coman and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
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.
Scientia Magna An International Journal Vol 12 No 1 2017
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Author : Jing Huang
language : en
Publisher: Infinite Study
Release Date : 2017-07-01
Scientia Magna An International Journal Vol 12 No 1 2017 written by Jing Huang and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-07-01 with Mathematics categories.
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.
Smarandache Notions Journal Vol 13
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Author : Jack Allen
language : en
Publisher: Infinite Study
Release Date : 2002-12-01
Smarandache Notions Journal Vol 13 written by Jack Allen and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-12-01 with Mathematics categories.
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.
Smarandache Chinese
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Author : Yuan Yi
language : en
Publisher: Infinite Study
Release Date : 2006-01-01
Smarandache Chinese written by Yuan Yi and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-01-01 with Mathematics categories.
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.
Scientia Magna International Book Series Vol 12 No 1
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Author : Huaning Liu
language : en
Publisher: Infinite Study
Release Date :
Scientia Magna International Book Series Vol 12 No 1 written by Huaning Liu and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
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.