Some Results On The Sandor Smarandache Function
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Some Results On The Sandor Smarandache Function
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Author : S. M. S. Islam
language : en
Publisher: Infinite Study
Release Date :
Some Results On The Sandor Smarandache Function written by S. M. S. Islam and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
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
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Author : A.A.K. Majumdar
language : en
Publisher: Infinite Study
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On Some Values Of The Sandor Smarandache Function written by A.A.K. Majumdar and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
This paper finds SS(n) for some particular cases of n.
Smarandache Numbers Revisited
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Author : A.A.K. MAJUMDAR
language : en
Publisher: Infinite Study
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Smarandache Numbers Revisited written by A.A.K. MAJUMDAR and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
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
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Author : A. A. K. Majumdar
language : en
Publisher: Infinite Study
Release Date : 2010
Wandering In The World Of Smarandache Numbers written by A. A. K. Majumdar and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Mathematics categories.
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 11 2000
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Author : V. Seleacu
language : en
Publisher: Infinite Study
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Smarandache Function Journal Vol 11 2000 written by V. Seleacu and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
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 9 1998
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Author : V. Seleacu
language : en
Publisher: Infinite Study
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Smarandache Function Journal Vol 9 1998 written by V. Seleacu and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
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
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Author : Hailong Li
language : en
Publisher: Infinite Study
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A Generalization Of The Smarandache Function written by Hailong Li and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
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.
On The Solvability Of An Equation Involving The Smarandache Function And Euler Function
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Author : Weiguo Duan
language : en
Publisher: Infinite Study
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On The Solvability Of An Equation Involving The Smarandache Function And Euler Function written by Weiguo Duan and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
For any positive integer n, the famous F.Smarandache function S(n) is defined as the smallest positive integer m such that n divides m!.
Smarandache Function Journal Vol 10 1999
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Author : V. Seleacu
language : en
Publisher: Infinite Study
Release Date :
Smarandache Function Journal Vol 10 1999 written by V. Seleacu and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
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 12 2001
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Author : Charles Ashbacher
language : en
Publisher: Infinite Study
Release Date :
Smarandache Function Journal Vol 12 2001 written by Charles Ashbacher and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
A collection of papers concerning Smarandache type functions, numbers, sequences, inteqer algorithms, paradoxes, experimental geometries, algebraic structures, neutrosophic probability, set, and logic, etc.