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Author : Charles Ashbacher
Publisher : Infinite Study
Page : 368 pages
File Size : 54,6 Mb
Release : 2024-06-29
Category : Electronic
ISBN : 8210379456XXX
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 ,Tatiana Tabirca
Publisher : Infinite Study
Page : 418 pages
File Size : 52,8 Mb
Release : 2024-06-29
Category : Electronic
ISBN : 8210379456XXX
A collection of papers concerning Smarandache type functions, numbers, sequences, inteqer algorithms, paradoxes, experimental geometries, algebraic structures, neutrosophic probability, set, and logic, etc.
Author : Mladen V. Vassilev-Missana,Krassimir T. Atanassov
Publisher : Infinite Study
Page : 67 pages
File Size : 41,8 Mb
Release : 2005
Category : Mathematics
ISBN : 9781931233897
Five years after having published the first volume, the authors obtained many new results related to Smarandaches Problems. They are collected in this book and deal with Smarandache sequences, infinite numbers, functions, formulas, conjunctures in Number Theory.
Author : Huaning Liu
Publisher : Infinite Study
Page : 13 pages
File Size : 51,6 Mb
Release : 2024-06-29
Category : Electronic
ISBN : 8210379456XXX
In this paper we give a survey on recent results on Smarandache function.
Author : Marius Coman
Publisher : Infinite Study
Page : 136 pages
File Size : 42,9 Mb
Release : 2024-06-29
Category : Electronic
ISBN : 9781599732527
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 : Jack Allen,Feng Liu,Drago Constantinescu
Publisher : Infinite Study
Page : 288 pages
File Size : 45,8 Mb
Release : 2002-12-01
Category : Mathematics
ISBN : 9781931233569
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.
Author : Richa Brar,Sukhwinder Singh Billing,Qianli Yang,Hailong Li
Publisher : Infinite Study
Page : 187 pages
File Size : 40,6 Mb
Release : 2018-10-01
Category : Mathematics
ISBN : 8210379456XXX
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.
Author : Zhang Wenpeng,W. B. Vasantha Kandasamy
Publisher : Infinite Study
Page : 203 pages
File Size : 46,8 Mb
Release : 2006
Category : Science
ISBN : 9781599730028
Collection of papers from various scientists dealing with smarandache notions in science.
Author : Huaning Liu
Publisher : Infinite Study
Page : 188 pages
File Size : 52,9 Mb
Release : 2024-06-29
Category : Mathematics
ISBN : 8210379456XXX
Scientia Magna international book series are published in one or two volumes per year with more than 100 pages and over 1,000 copies.
Author : Zhang Wenpeng
Publisher : Infinite Study
Page : 118 pages
File Size : 54,6 Mb
Release : 2024-06-29
Category : Electronic
ISBN : 9781599730455
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.
Author : Zhang Wenpeng,Hailong Li
Publisher : Infinite Study
Page : 123 pages
File Size : 54,8 Mb
Release : 2024-06-29
Category : Electronic
ISBN : 9781599730257
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
Page : 126 pages
File Size : 42,6 Mb
Release : 2024-06-29
Category : Electronic
ISBN : 9781599730493
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
Page : 127 pages
File Size : 48,8 Mb
Release : 2024-06-29
Category : Electronic
ISBN : 9781599730776
Papers on the Smarandache additive sequence, an equation of the Smarandache function, the property of the Smarandache-Riemann zeta sequence, the continued fractions and Dirichlet L-functions, some pseudo Smarandache function related triangles, and similar topics. Contributors: F. Li, M. Turgut, S. Yilmaz, K. Wang, S. Yilmaz, M. Turgut, A. A. Majumdar, B. Chen, C. Shi, M. Fang, X. Li, and others.
Author : Zhang Wenpeng
Publisher : Infinite Study
Page : 132 pages
File Size : 41,9 Mb
Release : 2024-06-29
Category : Electronic
ISBN : 9781599730646
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 : Amarnath Murthy
Publisher : Infinite Study
Page : 219 pages
File Size : 50,6 Mb
Release : 2005-01-01
Category : Mathematics
ISBN : 9781931233347
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.
