Author:
Publisher:
ISBN:
Category : Number theory
Languages : en
Pages : 714

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Book Description

Author: Marius Coman
Publisher: Infinite Study
ISBN: 1599732521
Category :
Languages : en
Pages : 136

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Book Description
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.

Author: editors:Yuhua Fu, Linfan Mao, and Mihaly Bencze
Publisher: Infinite Study
ISBN: 1599730413
Category : Mathematics
Languages : en
Pages : 202

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Book Description
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.

Author: Florentin Smarandache
Publisher: Infinite Study
ISBN: 1599732742
Category : Mathematics
Languages : en
Pages : 125

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Book Description
Neutrosophic Statistics means statistical analysis of population or sample that has indeterminate (imprecise, ambiguous, vague, incomplete, unknown) data. For example, the population or sample size might not be exactly determinate because of some individuals that partially belong to the population or sample, and partially they do not belong, or individuals whose appurtenance is completely unknown. Also, there are population or sample individuals whose data could be indeterminate. In this book, we develop the 1995 notion of neutrosophic statistics. We present various practical examples. It is possible to define the neutrosophic statistics in many ways, because there are various types of indeterminacies, depending on the problem to solve.

Author: W. B. Vasantha Kandasamy
Publisher: Infinite Study
ISBN: 1931233594
Category : Mathematics
Languages : en
Pages : 95

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Book Description
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).

Author: Zhang Wenpeng
Publisher: Infinite Study
ISBN: 1599730014
Category :
Languages : en
Pages : 222

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Book Description
Collection of papers from various scientists dealing with smarandache notions in science.

Author: Zhang Wenpeng
Publisher: Infinite Study
ISBN: 1599730383
Category :
Languages : en
Pages : 119

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Book Description
Papers on subclass of analytic and univalent functions in the unit disk, large quaternary cyclic codes of length 85 and related quantum error-correcting, value distribution of the Smarandache LCM function, chains of inequalities, some identities involving the near pseudo Smarandache function, and other similar topics. Contributors: S. M. Khairnar, M. More, Y. Ma, J. Chen, M. Bencze, C. Tian, N. Yuan, J. Caltenco, M. Enciso-Aguilar, W. Zheng, J. Dou, and many others.

Author: Zhang Wenpeng
Publisher: Infinite Study
ISBN: 1599730499
Category :
Languages : en
Pages : 126

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Book Description
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.

Author: Zhang Wenpeng
Publisher: Infinite Study
ISBN: 1599730251
Category :
Languages : en
Pages : 123

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Book Description
Third International Conference on Number Theory and Smarandache Problems, 23-25 March 2007, Weinan Teacher's University, China. Papers on Smarandache multi-spaces and mathematical combinatorics, Smarandache stepped functions, cube-free integers as sums of two squares, recurrences for generalized Euler numbers, the generalization of the primitive number function, the Smarandache LCM function and its mean value, a conjecture involving the F. Smarandache LCM function, a new arithmetical function and its asymptotic formula, and other similar topics. Contributors: J. Wang, A. Muktibodh, M. Selariu, X. Zhang, Y. Zhang, M. Liu, R. Zhang, S. Ma, L. Mao, and many others.

Author: Zhang Wenpeng
Publisher: Infinite Study
ISBN: 1599731126
Category :
Languages : en
Pages : 131

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Book Description
Papers on Pseudo-Smarandache function and Smarandache LCM function, the minimum number of polychromatic C-hyperedges of the complete uniform mixed hypergraphs under one special condition, complete monotonicity properties for the gamma function and Barnes G-function, semigroup of continuous functions and Smarandache semigroups, and other similar topics. Contributors: T. Srinivas, A. K. S. C. S. Rao, X. Liang, W. He, J. Soontharanon, U. Leerawat, J. Wang, C. Zheng, F. A. Z. Shirazi, A. Hosseini, and many others.