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.
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.
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 certain new inequalities and limits for the Smarandache Function
Author: J. Sandor
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 7
Book Description
This paper is on certain new inequalities and limits for the Smarandache Function.
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 7
Book Description
This paper is on certain new inequalities and limits for the Smarandache Function.
On certain generalizations of the Smarandache
Author: J. Sandor
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 11
Book Description
The famous Smarandache function, this arithmetical function is connected to the number of divisors of n, and other important number theoretic functions.
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 11
Book Description
The famous Smarandache function, this arithmetical function is connected to the number of divisors of n, and other important number theoretic functions.
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.
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. 12/2001
Author: Charles Ashbacher
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 368
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 : 368
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
Author: V. Seleacu
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 327
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 : 327
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. 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.
Smarandache Notions, Vol. 10
Author: V. Seleacu
Publisher: Infinite Study
ISBN: 1879585685
Category :
Languages : en
Pages : 211
Book Description
Publisher: Infinite Study
ISBN: 1879585685
Category :
Languages : en
Pages : 211
Book Description