The Math Encyclopedia Of Smarandache Type Notions

Author: Marius Coman
Publisher: Infinite Study
ISBN: 1599732521
Size: 72.94 MB
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The Math Encyclopedia Of Smarandache Type Notions from the Author: 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.

Scientia Magna Vol 1 No 2 2005

Author: Zhang Wenpeng
Publisher: Infinite Study
ISBN: 1599730022
Size: 10.37 MB
Format: PDF
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Scientia Magna Vol 1 No 2 2005 from the Author: Zhang Wenpeng. Collection of papers from various scientists dealing with smarandache notions in science.

Scientia Magna Vol 2 No 1 2006

Author: Zhang Wenpeng
Publisher: Infinite Study
ISBN: 159973009X
Size: 13.71 MB
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Scientia Magna Vol 2 No 1 2006 from the Author: Zhang Wenpeng. Collection of papers from various scientists dealing with Smarandache Notions in science. Papers on holomorphic study of the Smarandache concept in loops, some arithmetical properties of primitive numbers of power p, Smarandache quasigroups, the mean value of the Smarandache simple divisor function, and other similar topics. Contributors: Z. Xu, Y. Shao, X. Zhao, X. Pan, T. Kim, C. Adiga, J. Han, Q. Yang, and many others.

Mainly Natural Numbers

Author: Henry Ibstedt
Publisher: Infinite Study
ISBN: 193123373X
Size: 10.69 MB
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Mainly Natural Numbers from the Author: Henry Ibstedt. The author studies in ten chapters: the smallest integer that can be expressed as a sum of consecutive integers in a given number of ways, the alterating iterations of the Smarandache function and the Euler f-function, some large sequences, the Smarandache partial perfect additive sequence {having a very simple definition: a(1)=a(2)=1, a(2k+1)=a(k+1)-1, a(2k+2)=a(k+1)+1} which does not form loops and does not get a terminating value but an amusing oscillating behavior, the Smarandache general continued fractions (built with positive integer Smarandache sequences), the Smarandache k-k additive relationships and Smarandache 2-2 substractive relationships, some concatenation and deconcatenation problems (in particular a number of questions raised on the Smarandache deconstructive sequence are resolved).

Smarandache Function Vol 1

Author: Florentin Smarandache
Publisher: Infinite Study
ISBN: 1879585790
Size: 46.34 MB
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Smarandache Function Vol 1 from the Author: Florentin Smarandache.

Scientia Magna Vol 2 No 2 2006

Author: Zhang Wenpeng
Publisher: Infinite Study
ISBN: 1599730154
Size: 14.96 MB
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Scientia Magna Vol 2 No 2 2006 from the Author: Zhang Wenpeng. Proceedings of The Second Northwest Conference on Number Theory and Smarandache Problems in China.

Research On Smarandache Problems In Number Theory Collected Papers Vol Ii

Author: Wenpeng Zhang
Publisher: Infinite Study
ISBN: 1931233993
Size: 20.75 MB
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Research On Smarandache Problems In Number Theory Collected Papers Vol Ii from the Author: Wenpeng Zhang. This book contains 34 papers, most of which were written by participants to the First Northwest Number Theory Conference held in Shangluo Teacher?s College, China, in March, 2005. In this Conference, several professors gave a talk on Smarandache Problems and many participants lectured on them both extensively and intensively. All these papers are original and have been refereed. The themes of these papers range from the mean value or hybrid mean value of Smarandache type functions, the mean value of some famous number theoretic functions acting on the Smarandache sequences, to the convergence property of some infinite series involving the Smarandache type sequences.