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Author : V. Seleacu,I. Balacenoiu
Publisher : Infinite Study
Page : 325 pages
File Size : 49,6 Mb
Release : 2000-08-01
Category : Electronic
ISBN : 9781879585782
Author : W. B. Vasantha Kandasamy,G. Niculescu,M. Khoshnevisan
Publisher : Infinite Study
Page : 418 pages
File Size : 41,9 Mb
Release : 2004-01-01
Category : Number theory
ISBN : 9781931233798
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 : Leonardo Motta,Gheorghe Niculescu
Publisher : Infinite Study
Page : 368 pages
File Size : 52,5 Mb
Release : 2001-01-01
Category : Electronic
ISBN : 9781931233286
Author : Marius Coman
Publisher : Infinite Study
Page : 128 pages
File Size : 50,9 Mb
Release : 2024-06-02
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 : Amarnath Murthy
Publisher : Infinite Study
Page : 219 pages
File Size : 43,9 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.
Author : V. Seleacu , Balacenoiu
Publisher : Infinite Study
Page : 327 pages
File Size : 51,5 Mb
Release : 2024-06-02
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 : Jack Allen,Feng Liu,Drago Constantinescu
Publisher : Infinite Study
Page : 288 pages
File Size : 48,9 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 : Sabin Tabirca ,Tatiana Tabirca
Publisher : Infinite Study
Page : 418 pages
File Size : 43,9 Mb
Release : 2024-06-02
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 : V. Seleacu,I. Balacenoiu
Publisher : Infinite Study
Page : 211 pages
File Size : 55,5 Mb
Release : 2000-08-01
Category : Electronic
ISBN : 9781879585683
Author : Charles Ashbacher
Publisher : Infinite Study
Page : 368 pages
File Size : 46,5 Mb
Release : 2024-06-02
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 : Anonim
Publisher : Unknown
Page : 1280 pages
File Size : 40,7 Mb
Release : 2003
Category : Mathematics
ISBN : UVA:X006180725
Author : Mladen V. Vassilev-Missana,Krassimir T. Atanassov
Publisher : Infinite Study
Page : 67 pages
File Size : 55,7 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 : Florentin Smarandache
Publisher : Infinite Study
Page : 84 pages
File Size : 46,9 Mb
Release : 1999-12-01
Category : Mathematics
ISBN : 9781879585744
Author : Huaning Liu
Publisher : Infinite Study
Page : 128 pages
File Size : 42,8 Mb
Release : 2024-06-02
Category : Electronic
ISBN : 9781599734798
Papers on Smarandache cyclic geometric determinant sequences, prime one-sided ideals, socles of entire Dirichlet series as a gamma ring, Smarandache LCM ratio, cube-full numbers and so on.
Author : editors:Yuhua Fu, Linfan Mao, and Mihaly Bencze
Publisher : Infinite Study
Page : 202 pages
File Size : 41,9 Mb
Release : 2007
Category : Mathematics
ISBN : 9781599730417
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.