Author: V. Seleacu
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 327
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Book Description
A collection of papers concerning Smarandache type functions, numbers, sequences, inteqer algorithms, paradoxes, experimental geometries, algebraic structures, neutrosophic probability, set, and logic, etc.
Author: Sabin Tabirca
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 418
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Book Description
A collection of papers concerning Smarandache type functions, numbers, sequences, inteqer algorithms, paradoxes, experimental geometries, algebraic structures, neutrosophic probability, set, and logic, etc.
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: Charles Ashbacher
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 368
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Book Description
A collection of papers concerning Smarandache type functions, numbers, sequences, inteqer algorithms, paradoxes, experimental geometries, algebraic structures, neutrosophic probability, set, and logic, etc.
Author: Amarnath Murthy
Publisher: Infinite Study
ISBN: 1931233349
Category : Mathematics
Languages : en
Pages : 219
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Book Description
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.
Author: W. B. Vasantha Kandasamy
Publisher: Infinite Study
ISBN: 1931233799
Category : Number theory
Languages : en
Pages : 418
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Book Description
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.
Author: Zhang Wenpeng
Publisher: Infinite Study
ISBN: 1599730642
Category :
Languages : en
Pages : 132
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Book Description
Papers on two problems related to the Smarandache function, the additive k-power complements, the generalization of sequence of numbers with alternate common differences, an equation related to the Smarandache function and its positive integer solutions, the pseudo Smarandache square-free function, and other similar topics. Contributors: W. Zhang, Y. Guo, W. Xiong, S. Yilmaz, M. Turgut, A. A. Majumdar, B. Ahmad, J. Zhang, P. Zhang, N. Dung, 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: 1599731134
Category :
Languages : en
Pages : 136
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Book Description
Papers on Smarandache magic square, Smarandache friendly numbers, some another remarks on the generalization of Bernoulli and Euler numbers, an integral identity involving the Hermite polynomials, vinegar identifiation by ultraviolet spectrum technology and pattern recognition method, pairwise semi compact and pairwise semi lindeloff spaces, and other topics. Contributors: C. Prabpayak, U. Leerawat, S. M. Khairnar, S. Balasubramanian, B. Amudhambigai, A. H. Majeed, A. D. Hamdi, H. Jolany, M. R. Darafsheh, and others.
Author: Zhang Wenpeng
Publisher: Infinite Study
ISBN: 159973009X
Category : Science
Languages : en
Pages : 120
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Book Description
Collection of papers from various scientists dealing with Smarandache Notions in science. Papers on holomorphic study of the Smarandache concept in loops, some arithmetical properties of primitive numbers of power p, Smarandache quasigroups, the mean value of the Smarandache simple divisor function, and other similar topics. Contributors: Z. Xu, Y. Shao, X. Zhao, X. Pan, T. Kim, C. Adiga, J. Han, Q. Yang, and many others.
