An Introduction To The Smarandache Function
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Author |
: Charles Ashbacher |
Publisher |
: Infinite Study |
Total Pages |
: 62 |
Release |
: 1995 |
ISBN-10 |
: 9781879585492 |
ISBN-13 |
: 1879585499 |
Rating |
: 4/5 (92 Downloads) |
Synopsis An Introduction to the Smarandache Function by : Charles Ashbacher
Author |
: V. Seleacu |
Publisher |
: Infinite Study |
Total Pages |
: 154 |
Release |
: |
ISBN-10 |
: |
ISBN-13 |
: |
Rating |
: 4/5 ( Downloads) |
Synopsis Smarandache Function Journal, vol. 7/1996 by : V. Seleacu
A collection of papers concerning Smarandache type functions, numbers, sequences, inteqer algorithms, paradoxes, experimental geometries, algebraic structures, neutrosophic probability, set, and logic, etc.
Author |
: Felice Russo |
Publisher |
: Infinite Study |
Total Pages |
: 108 |
Release |
: 2000 |
ISBN-10 |
: 9781879585836 |
ISBN-13 |
: 1879585839 |
Rating |
: 4/5 (36 Downloads) |
Synopsis A Set of New Smarandache Functions, Sequences, and Conjectures by : Felice Russo
Author |
: Charles Ashbacher |
Publisher |
: Infinite Study |
Total Pages |
: 368 |
Release |
: |
ISBN-10 |
: |
ISBN-13 |
: |
Rating |
: 4/5 ( Downloads) |
Synopsis Smarandache Function Journal, vol. 12/2001 by : Charles Ashbacher
A collection of papers concerning Smarandache type functions, numbers, sequences, inteqer algorithms, paradoxes, experimental geometries, algebraic structures, neutrosophic probability, set, and logic, etc.
Author |
: Charles Ashbacher |
Publisher |
: Infinite Study |
Total Pages |
: 80 |
Release |
: 1998-01-01 |
ISBN-10 |
: 9781879585614 |
ISBN-13 |
: 1879585618 |
Rating |
: 4/5 (14 Downloads) |
Synopsis Plucking from the Tree of Smarandache Functions and Sequences by : Charles Ashbacher
Author |
: Charles Ashbacher |
Publisher |
: |
Total Pages |
: 62 |
Release |
: 1995 |
ISBN-10 |
: 0598038000 |
ISBN-13 |
: 9780598038005 |
Rating |
: 4/5 (00 Downloads) |
Synopsis An Introduction to the Smarandache Function by : Charles Ashbacher
Author |
: S. M. S. Islam |
Publisher |
: Infinite Study |
Total Pages |
: 12 |
Release |
: |
ISBN-10 |
: |
ISBN-13 |
: |
Rating |
: 4/5 ( Downloads) |
Synopsis Some Results on the Sandor-Smarandache Function by : S. M. S. Islam
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.
Author |
: V. Seleacu |
Publisher |
: Infinite Study |
Total Pages |
: 327 |
Release |
: |
ISBN-10 |
: |
ISBN-13 |
: |
Rating |
: 4/5 ( Downloads) |
Synopsis Smarandache Function Journal, vol. 11/2000 by : V. Seleacu
A collection of papers concerning Smarandache type functions, numbers, sequences, inteqer algorithms, paradoxes, experimental geometries, algebraic structures, neutrosophic probability, set, and logic, etc.
Author |
: Marius Coman |
Publisher |
: Infinite Study |
Total Pages |
: 136 |
Release |
: |
ISBN-10 |
: 9781599732527 |
ISBN-13 |
: 1599732521 |
Rating |
: 4/5 (27 Downloads) |
Synopsis The Math Encyclopedia of Smarandache type Notions by : Marius Coman
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.
Author |
: Tatiana-Corina Dosescu |
Publisher |
: Infinite Study |
Total Pages |
: 10 |
Release |
: |
ISBN-10 |
: |
ISBN-13 |
: |
Rating |
: 4/5 ( Downloads) |
Synopsis An Algorithm for Calculating Smarandache's Function and Wich Using Legendre's Formula by : Tatiana-Corina Dosescu
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.