Author: S. M. S. Islam
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 12
Book Description
Sandor introduced a new Smarandache-type function, denoted by SS(n), and is called the Sandor-Smarandache function. When n is an odd (positive) integer, then SS(n) has a very simple form, as has been derived by Sandor himself. However, when n is even, then the form of SS(n) is not simple, and remains an open problem. This paper finds SS(n) for some special cases of n. Particular attention is given to values of the general forms SS(2mp), SS(6mp), SS(60mp) and SS(420mp), where m is any (positive) integer and p is an odd prime. Some particular cases have been treated in detail. In Section 4, some remarks are observed.
Some Results on the Sandor-Smarandache Function
Author: S. M. S. Islam
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 12
Book Description
Sandor introduced a new Smarandache-type function, denoted by SS(n), and is called the Sandor-Smarandache function. When n is an odd (positive) integer, then SS(n) has a very simple form, as has been derived by Sandor himself. However, when n is even, then the form of SS(n) is not simple, and remains an open problem. This paper finds SS(n) for some special cases of n. Particular attention is given to values of the general forms SS(2mp), SS(6mp), SS(60mp) and SS(420mp), where m is any (positive) integer and p is an odd prime. Some particular cases have been treated in detail. In Section 4, some remarks are observed.
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 12
Book Description
Sandor introduced a new Smarandache-type function, denoted by SS(n), and is called the Sandor-Smarandache function. When n is an odd (positive) integer, then SS(n) has a very simple form, as has been derived by Sandor himself. However, when n is even, then the form of SS(n) is not simple, and remains an open problem. This paper finds SS(n) for some special cases of n. Particular attention is given to values of the general forms SS(2mp), SS(6mp), SS(60mp) and SS(420mp), where m is any (positive) integer and p is an odd prime. Some particular cases have been treated in detail. In Section 4, some remarks are observed.
ON SOME VALUES OF THE SANDOR-SMARANDACHE FUNCTION
Author: A.A.K. Majumdar
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 11
Book Description
This paper finds SS(n) for some particular cases of n.
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 11
Book Description
This paper finds SS(n) for some particular cases of n.
SMARANDACHE NUMBERS REVISITED
Author: A.A.K. MAJUMDAR
Publisher: Infinite Study
ISBN: 1599735733
Category : Mathematics
Languages : en
Pages : 132
Book Description
More than seven years ago, my first book on some of the Smarandache notions was published. The book consisted of five chapters, and the topics covered were as follows : (1) some recursive type Smarandache sequences, (2) Smarandache determinant sequences, (3) the Smarandache function, (4) the pseudo Smarandache function, and (5) the Smarandache function related and the pseudo Smarandache function related triangles. Since then, new and diversified results have been published by different researchers. The aim of this book to update some of the contents of my previous book, and add some new results.
Publisher: Infinite Study
ISBN: 1599735733
Category : Mathematics
Languages : en
Pages : 132
Book Description
More than seven years ago, my first book on some of the Smarandache notions was published. The book consisted of five chapters, and the topics covered were as follows : (1) some recursive type Smarandache sequences, (2) Smarandache determinant sequences, (3) the Smarandache function, (4) the pseudo Smarandache function, and (5) the Smarandache function related and the pseudo Smarandache function related triangles. Since then, new and diversified results have been published by different researchers. The aim of this book to update some of the contents of my previous book, and add some new results.
Wandering in the World of Smarandache Numbers
Author: A. A. K. Majumdar
Publisher: Infinite Study
ISBN: 159973124X
Category : Mathematics
Languages : en
Pages : 217
Book Description
This book covers only a part of the wide and diverse field of the Smarandache Notions, andcontains some of the materials that I gathered as I wandered in the world of Smarandache. Mostof the materials are already published in different journals, but some materials are new andappear for the first time in this book. All the results are provided with proofs._ Chapter 1 gives eleven recursive type Smarandache sequences, namely, the SmarandacheOdd, Even, Prime Product, Square Product (of two types), Higher Power Product (of twotypes), Permutation, Circular, Reverse, Symmetric and Pierced Chain sequences_ Chapter 2 deals with the Smarandache Cyclic Arithmetic Determinant and BisymmetricArithmetic Determinant sequences, and series involving the terms of the Smarandachebisymmetric determinant natural and bisymmetric arithmetic determinant sequences_ Chapter 3 treats the Smarandache function S(n)_ Chapter 4 considers, in rather more detail, the pseudo Smarandache function Z(n)_ And the Smarandache S-related and Z-related triangles are the subject matter of Chapter 5.To make the book self-contained, some well-known results of the classical Number Theory aregiven in Chapter 0. In order to make the book up-to-date, the major results of other researchersare also included in the book.At the end of each chapter, several open problems are given.
Publisher: Infinite Study
ISBN: 159973124X
Category : Mathematics
Languages : en
Pages : 217
Book Description
This book covers only a part of the wide and diverse field of the Smarandache Notions, andcontains some of the materials that I gathered as I wandered in the world of Smarandache. Mostof the materials are already published in different journals, but some materials are new andappear for the first time in this book. All the results are provided with proofs._ Chapter 1 gives eleven recursive type Smarandache sequences, namely, the SmarandacheOdd, Even, Prime Product, Square Product (of two types), Higher Power Product (of twotypes), Permutation, Circular, Reverse, Symmetric and Pierced Chain sequences_ Chapter 2 deals with the Smarandache Cyclic Arithmetic Determinant and BisymmetricArithmetic Determinant sequences, and series involving the terms of the Smarandachebisymmetric determinant natural and bisymmetric arithmetic determinant sequences_ Chapter 3 treats the Smarandache function S(n)_ Chapter 4 considers, in rather more detail, the pseudo Smarandache function Z(n)_ And the Smarandache S-related and Z-related triangles are the subject matter of Chapter 5.To make the book self-contained, some well-known results of the classical Number Theory aregiven in Chapter 0. In order to make the book up-to-date, the major results of other researchersare also included in the book.At the end of each chapter, several open problems are given.
Smarandache Function Journal, vol. 10/1999
Author: V. Seleacu
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 213
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.
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 213
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.
A generalization of the Smarandache function
Author: Hailong Li
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 4
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.
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 4
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 Function Journal, vol. 7/1996
Author: V. Seleacu
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 154
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.
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 154
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
Author: Jack Allen
Publisher: Infinite Study
ISBN: 193123356X
Category : Mathematics
Languages : en
Pages : 288
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.
Publisher: Infinite Study
ISBN: 193123356X
Category : Mathematics
Languages : en
Pages : 288
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.
Smarandache Function Journal, vol. 9/1998
Author: V. Seleacu
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 158
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.
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 158
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, Vol. 9
Author: C. Dumitrescu
Publisher: Infinite Study
ISBN: 1879585693
Category :
Languages : en
Pages : 158
Book Description
Publisher: Infinite Study
ISBN: 1879585693
Category :
Languages : en
Pages : 158
Book Description