A generalization of the Smarandache function
A generalization of the Smarandache function

Author: Hailong Li

Publisher: Infinite Study

Published:

Total Pages: 4

ISBN-13:

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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.

An Algorithm for Calculating Smarandache's Function and Wich Using Legendre's Formula
An Algorithm for Calculating Smarandache's Function and Wich Using Legendre's Formula

Author: Tatiana-Corina Dosescu

Publisher: Infinite Study

Published:

Total Pages: 10

ISBN-13:

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The paper presents a calculation algorithm for the values of the function S, defined by Fl. Smarandache [6], [1], [4], [5], an algorithm that uses the writing of numbers in base ten and it is based on Legendre's formula and some theoretical results. It differs from the one presented in [8], which avoids factorization, and from the one presented in [6], which requires writing on a generalized basis. Then a characterization of a prime number is given. Finally, a numerical application is presented.The paper presents a calculation algorithm for the values of the function S, defined by Fl. Smarandache [6], [1], [4], [5], an algorithm that uses the writing of numbers in base ten and it is based on Legendre's formula and some theoretical results. It differs from the one presented in [8], which avoids factorization, and from the one presented in [6], which requires writing on a generalized basis. Then a characterization of a prime number is given. Finally, a numerical application is presented.

Smarandache Function Journal, vol. 10/1999
Smarandache Function Journal, vol. 10/1999

Author: V. Seleacu

Publisher: Infinite Study

Published:

Total Pages: 213

ISBN-13:

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A collection of papers concerning Smarandache type functions, numbers, sequences, inteqer algorithms, paradoxes, experimental geometries, algebraic structures, neutrosophic probability, set, and logic, etc.

SOME CONNECTIONS BETWEEN THE SMARANDACHE FUNCTION AND THE FIBONACCI SEQUENCE
SOME CONNECTIONS BETWEEN THE SMARANDACHE FUNCTION AND THE FIBONACCI SEQUENCE

Author: C. Dumitrescu

Publisher: Infinite Study

Published:

Total Pages: 11

ISBN-13:

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This paper is aimed to provide generalizations of the Smarandache function. They will be constructed by means of sequences more general than the sequence of the factorials. Such sequences are monotonously convergent to zero sequences and divisibility sequences (in particular the Fibonacci sequence).

Smarandache Function Journal, vol. 12/2001
Smarandache Function Journal, vol. 12/2001

Author: Charles Ashbacher

Publisher: Infinite Study

Published:

Total Pages: 368

ISBN-13:

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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. 14/2004
Smarandache Function Journal, vol. 14/2004

Author: Sabin Tabirca

Publisher: Infinite Study

Published:

Total Pages: 418

ISBN-13:

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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. 6/1995
Smarandache Function Journal, vol. 6/1995

Author: Charles Ashbacher

Publisher: Infinite Study

Published:

Total Pages: 73

ISBN-13:

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A collection of papers concerning Smarandache type functions, numbers, sequences, inteqer algorithms, paradoxes, experimental geometries, algebraic structures, neutrosophic probability, set, and logic, etc