Generalized Partitions And New Ideas On Number Theory And Smarandache Sequences
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Generalized Partitions And New Ideas On Number Theory And Smarandache Sequences
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Author : Amarnath Murthy
language : en
Publisher: Infinite Study
Release Date : 2005-01-01
Generalized Partitions And New Ideas On Number Theory And Smarandache Sequences written by Amarnath Murthy and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-01-01 with Mathematics categories.
Florentin Smarandache is an incredible source of ideas, only some of which are mathematical in nature. Amarnath Murthy has published a large number of papers in the broad area of Smarandache Notions, which are math problems whose origin can be traced to Smarandache. This book is an edited version of many of those papers, most of which appeared in Smarandache Notions Journal, and more information about SNJ is available at http://www.gallup.unm.edu/~smarandache/ . The topics covered are very broad, although there are two main themes under which most of the material can be classified. A Smarandache Partition Function is an operation where a set or number is split into pieces and together they make up the original object. For example, a Smarandache Repeatable Reciprocal partition of unity is a set of natural numbers where the sum of the reciprocals is one. The first chapter of the book deals with various types of partitions and their properties and partitions also appear in some of the later sections.The second main theme is a set of sequences defined using various properties. For example, the Smarandache n2n sequence is formed by concatenating a natural number and its double in that order. Once a sequence is defined, then some properties of the sequence are examined. A common exploration is to ask how many primes are in the sequence or a slight modification of the sequence. The final chapter is a collection of problems that did not seem to be a precise fit in either of the previous two categories. For example, for any number d, is it possible to find a perfect square that has digit sum d? While many results are proven, a large number of problems are left open, leaving a great deal of room for further exploration.
The Math Encyclopedia Of Smarandache Type Notions
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Author : Marius Coman
language : en
Publisher: Infinite Study
Release Date :
The Math Encyclopedia Of Smarandache Type Notions written by Marius Coman 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.
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.
Smarandache Numbers Revisited
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Author : A.A.K. MAJUMDAR
language : en
Publisher: Infinite Study
Release Date : 2018
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 2018 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.
Smarandache Unsolved Problems And New Progress In Chinese Language
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Author : Editors: Liu Yanni, Li Ling, Liu Baoli
language : en
Publisher: Infinite Study
Release Date : 2008
Smarandache Unsolved Problems And New Progress In Chinese Language written by Editors: Liu Yanni, Li Ling, Liu Baoli and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematics categories.
New improved results of the research in Chinese language on Smarandache¿s codification used in computer programming, smarandacheials, totient and congruence functions, sequences, irrational constants in number theory, multi-space and geometries.
The Vertical Generalization Of Goldbach S Conjecture An Infinite Class Of Conjectures Stronger Than Goldbach S
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Author : Andrei-Lucian Drăgoi
language : en
Publisher: Dr. Andrei-Lucian Drăgoi
Release Date : 2021-07-30
The Vertical Generalization Of Goldbach S Conjecture An Infinite Class Of Conjectures Stronger Than Goldbach S written by Andrei-Lucian Drăgoi and has been published by Dr. Andrei-Lucian Drăgoi this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-07-30 with Mathematics categories.
This work proposes the generalization of the binary (strong) Goldbach’s Conjecture, briefly called “the Vertical Binary Goldbach’s Conjecture”, which is essentially a meta-conjecture because it states an infinite number of conjectures stronger than Goldbach’s, which all apply on “iterative” primes with recursive prime indexes, with many potential theoretical and practical applications in mathematics and physics) and a very special self-similar property of the primes subset of positive integers.
The Vertical Generalization Of The Binary Goldbach S Conjecture As Applied On Iterative Primes With Recursive Prime Indexes I Primeths
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Author : Andrei-Lucian Drăgoi
language : en
Publisher: Infinite Study
Release Date :
The Vertical Generalization Of The Binary Goldbach S Conjecture As Applied On Iterative Primes With Recursive Prime Indexes I Primeths written by Andrei-Lucian Drăgoi 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 article proposes a synthesized classification of some Goldbach-like conjectures, including those which are “stronger” than the Binary Goldbach’s Conjecture (BGC) and launches a new generalization of BGC briefly called “the Vertical Binary Goldbach’s Conjecture” (VBGC), which is essentially a metaconjecture, as VBGC states an infinite number of conjectures stronger than BGC, which all apply on “iterative” primes with recursive prime indexes (i-primeths).
Scientia Magna Vol 3 No 1 2007
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Author : Zhang Wenpeng
language : en
Publisher: Infinite Study
Release Date :
Scientia Magna Vol 3 No 1 2007 written by Zhang Wenpeng 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.
Third International Conference on Number Theory and Smarandache Problems, 23-25 March 2007, Weinan Teacher's University, China. Papers on Smarandache multi-spaces and mathematical combinatorics, Smarandache stepped functions, cube-free integers as sums of two squares, recurrences for generalized Euler numbers, the generalization of the primitive number function, the Smarandache LCM function and its mean value, a conjecture involving the F. Smarandache LCM function, a new arithmetical function and its asymptotic formula, and other similar topics. Contributors: J. Wang, A. Muktibodh, M. Selariu, X. Zhang, Y. Zhang, M. Liu, R. Zhang, S. Ma, L. Mao, and many others.
Scientia Magna Vol 2 No 2 2006
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Author : Zhang Wenpeng
language : en
Publisher: Infinite Study
Release Date :
Scientia Magna Vol 2 No 2 2006 written by Zhang Wenpeng 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.
Proceedings of The Second Northwest Conference on Number Theory and Smarandache Problems in China.
New Progress On Smarandache Problems In Chinese Language
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Author : Chen Guohui
language : zh-CN
Publisher: Infinite Study
Release Date : 2007
New Progress On Smarandache Problems In Chinese Language written by Chen Guohui and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.
This book includes a part of the research results about the Smarandache problems in number theory, written by Chinese scholars until 2007, and its main purpose is to bring new progress on Smarandache functions, sequences, constants, asymptotic properties, series convergences, solutions to special equations.
Generalized Partitions And Some New Ideas On Number Theory And Smarandache Sequences
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Author : Amarnath Murthy
language : en
Publisher:
Release Date : 2005
Generalized Partitions And Some New Ideas On Number Theory And Smarandache Sequences written by Amarnath Murthy and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Numbers, Natural categories.