On certain generalizations of the Smarandache

On certain generalizations of the Smarandache PDF Author: J. Sandor
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 11

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Book Description
The famous Smarandache function, this arithmetical function is connected to the number of divisors of n, and other important number theoretic functions.

On certain generalizations of the Smarandache

On certain generalizations of the Smarandache PDF Author: J. Sandor
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 11

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Book Description
The famous Smarandache function, this arithmetical function is connected to the number of divisors of n, and other important number theoretic functions.

A generalization of the Smarandache function

A generalization of the Smarandache function PDF Author: Hailong Li
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 4

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Book Description
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.

Smarandache Notions, Vol. 12 (Proceedings of the Second International Conference on Smarandache Type Notions in Mathematics and Quantum Physics)

Smarandache Notions, Vol. 12 (Proceedings of the Second International Conference on Smarandache Type Notions in Mathematics and Quantum Physics) PDF Author: Leonardo Motta
Publisher: Infinite Study
ISBN: 1931233284
Category :
Languages : en
Pages : 368

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Book Description


Smarandache Notions, Vol. 11

Smarandache Notions, Vol. 11 PDF Author: V. Seleacu
Publisher: Infinite Study
ISBN: 1879585782
Category :
Languages : en
Pages : 325

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Book Description


The Math Encyclopedia of Smarandache type Notions

The Math Encyclopedia of Smarandache type Notions PDF 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.

NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS, VOLUME 9, NUMBER 2, 2003

NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS, VOLUME 9, NUMBER 2, 2003 PDF Author: Aldo Peretti
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 12

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Book Description
Articles, notes and problems on Smarandache Function, Pseudo-Smarandache function, Smarandache-simple functions, Inferior Smarandache Prime Part, Smarandache double factorial function, Generalized Smarandache Palindrome, Smarandache problems, Smarandache circular sequence etc.

Smarandache Notions, Vol. 14

Smarandache Notions, Vol. 14 PDF 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.

Smarandache Function Journal, vol. 12/2001

Smarandache Function Journal, vol. 12/2001 PDF 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.

Smarandache Function Journal, vol. 11/2000

Smarandache Function Journal, vol. 11/2000 PDF 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.

Smarandache Notions Journal, Vol. 13

Smarandache Notions Journal, Vol. 13 PDF Author: Jack Allen
Publisher: Infinite Study
ISBN: 193123356X
Category : Mathematics
Languages : en
Pages : 288

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Book Description
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.