Comments and Topics on Smarandache Notions and Problems

Comments and Topics on Smarandache Notions and Problems
Title Comments and Topics on Smarandache Notions and Problems PDF eBook
Author Kenichiro Kashihara
Publisher Infinite Study
Pages 51
Release 1996
Genre Numerical functions
ISBN 1879585553

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The Math Encyclopedia of Smarandache type Notions

The Math Encyclopedia of Smarandache type Notions
Title The Math Encyclopedia of Smarandache type Notions PDF eBook
Author Marius Coman
Publisher Infinite Study
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.

Smarandache Notions, Vol. 10

Smarandache Notions, Vol. 10
Title Smarandache Notions, Vol. 10 PDF eBook
Author V. Seleacu
Publisher Infinite Study
Pages 211
Release 2000-08-01
Genre
ISBN 1879585685

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Smarandache Notions, Vol. 14

Smarandache Notions, Vol. 14
Title Smarandache Notions, Vol. 14 PDF eBook
Author W. B. Vasantha Kandasamy
Publisher Infinite Study
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.

Smarandache Notions Journal, Vol. 13

Smarandache Notions Journal, Vol. 13
Title Smarandache Notions Journal, Vol. 13 PDF eBook
Author Jack Allen
Publisher Infinite Study
Pages 288
Release 2002-12-01
Genre Mathematics
ISBN 193123356X

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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.

Smarandache Notions, Vol. 11

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

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A generalization of the Smarandache function

A generalization of the Smarandache function
Title A generalization of the Smarandache function PDF eBook
Author Hailong Li
Publisher Infinite Study
Pages 4
Release
Genre
ISBN

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This function is a generalization of the famous Smarandache function S(n). The main purpose of this paper is using the elementary and analytic methods to study the mean value properties of P(n), and give two interesting mean value formulas for it.