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Smarandache Notions, Vol. 11

Smarandache Notions, Vol. 11
Author: V. Seleacu
Publisher: Infinite Study
Total Pages: 325
Release: 2000-08-01
Genre:
ISBN: 1879585782

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Smarandache Notions, Vol. 11

Smarandache Notions, Vol. 11
Author: V. Seleacu
Publisher: Infinite Study
Total Pages: 325
Release: 2000-08-01
Genre:
ISBN: 1879585782

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Smarandache Function Journal, vol. 11/2000

Smarandache Function Journal, vol. 11/2000
Author: V. Seleacu
Publisher: Infinite Study
Total Pages: 327
Release:
Genre:
ISBN:

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A collection of papers concerning Smarandache type functions, numbers, sequences, inteqer algorithms, paradoxes, experimental geometries, algebraic structures, neutrosophic probability, set, and logic, etc.


Smarandache Notions, Vol. 14

Smarandache Notions, Vol. 14
Author: W. B. Vasantha Kandasamy
Publisher: Infinite Study
Total Pages: 418
Release: 2004-01-01
Genre: Number theory
ISBN: 1931233799

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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.


The Math Encyclopedia of Smarandache type Notions

The Math Encyclopedia of Smarandache type Notions
Author: Marius Coman
Publisher: Infinite Study
Total Pages: 136
Release:
Genre:
ISBN: 1599732521

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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.


Generalized Partitions and New Ideas on Number Theory and Smarandache Sequences

Generalized Partitions and New Ideas on Number Theory and Smarandache Sequences
Author: Amarnath Murthy
Publisher: Infinite Study
Total Pages: 219
Release: 2005-01-01
Genre: Mathematics
ISBN: 1931233349

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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.


Smarandache Function Journal, vol. 14/2004

Smarandache Function Journal, vol. 14/2004
Author: Sabin Tabirca
Publisher: Infinite Study
Total Pages: 418
Release:
Genre:
ISBN:

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A collection of papers concerning Smarandache type functions, numbers, sequences, inteqer algorithms, paradoxes, experimental geometries, algebraic structures, neutrosophic probability, set, and logic, etc.


On Some of the Smarandache Problems, Vol. II

On Some of the Smarandache Problems, Vol. II
Author: Mladen V. Vassilev-Missana
Publisher: Infinite Study
Total Pages: 67
Release: 2005
Genre: Mathematics
ISBN: 1931233896

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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.


Smarandache Function Journal, vol. 12/2001

Smarandache Function Journal, vol. 12/2001
Author: Charles Ashbacher
Publisher: Infinite Study
Total Pages: 368
Release:
Genre:
ISBN:

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A collection of papers concerning Smarandache type functions, numbers, sequences, inteqer algorithms, paradoxes, experimental geometries, algebraic structures, neutrosophic probability, set, and logic, etc.