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.

Geometric Theorems and Arithmetic Functions

Geometric Theorems and Arithmetic Functions PDF Author: József Sándor
Publisher: Infinite Study
ISBN: 1931233470
Category : Mathematics
Languages : en
Pages : 55

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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.

Geometric Theorems, Diophantine Equations, and Arithmetic Functions

Geometric Theorems, Diophantine Equations, and Arithmetic Functions PDF Author: J. Sándor
Publisher: Infinite Study
ISBN: 1931233519
Category : Arithmetic functions
Languages : en
Pages : 302

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Book Description


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.

On Some of the Smarandache's Problems, Vol. I

On Some of the Smarandache's Problems, Vol. I PDF Author: Krassimir T. Atanassov
Publisher: Infinite Study
ISBN: 1879585723
Category : Number theory
Languages : en
Pages : 89

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Book Description


On Some Properties of Plithogenic Neutrosophic Hypersoft Almost Topological Group

On Some Properties of Plithogenic Neutrosophic Hypersoft Almost Topological Group PDF Author: Bhimraj Basumatary
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 11

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Book Description
The main objective of this study is to introduce the notion of plithogenic neutrosophic hypersoft almost topological group. We have defined some new concepts and investigated properties of regularly open set and regularly closed set and then we observed the definitions of plithogenic neutrosophic hypersoft closed mapping, open mapping and finally we have defined the definition of plithogenic neutrosophic hypersoft almost continuous mapping. By observing the definition of plithogenic neutrosophic hypersoft almost continuous mapping we have studied neutrosophic hypersoft topological group and plithogenic neutrosophic hypersoft almost topological group and some of their properties.

Generalizations of Neutrosophic Subalgebras in BCK=BCI-Algebras Based on Neutrosophic Points

Generalizations of Neutrosophic Subalgebras in BCK=BCI-Algebras Based on Neutrosophic Points PDF Author: Seon Jeong Kim
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 10

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Book Description
Saeid and Jun introduced the notion of neutrosophic points, and studied neutrosophic subalgebras of several types in BCK=BCI-algebras by using the notion of neutrosophic points.

Scientia Magna, Vol. 3, No. 1, 2007.

Scientia Magna, Vol. 3, No. 1, 2007. PDF Author: Zhang Wenpeng
Publisher: Infinite Study
ISBN: 1599730251
Category :
Languages : en
Pages : 123

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Book Description
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.