Download or read book SOLUTION OF TWO QUESTIONS CONCERNING THE DIVISOR FUNCTION AND THE PSEUDO SMARANDACHE FUNCTION written by Zhong Li and published by Infinite Study. This book was released on with total page 4 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper we completely solve two questions concerning the divisor function and the pseudo - Smarandache function.
Download or read book Smarandache Function Journal vol 11 2000 written by V. Seleacu and published by Infinite Study. This book was released on with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: A collection of papers concerning Smarandache type functions, numbers, sequences, inteqer algorithms, paradoxes, experimental geometries, algebraic structures, neutrosophic probability, set, and logic, etc.
Download or read book Smarandache Notions Vol 11 written by V. Seleacu and published by Infinite Study. This book was released on 2000-08-01 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Wandering in the World of Smarandache Numbers written by A. A. K. Majumdar and published by Infinite Study. This book was released on 2010 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Smarandache Notions written by and published by . This book was released on 2001 with total page 714 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Set of New Smarandache Functions Sequences and Conjectures written by Felice Russo and published by Infinite Study. This book was released on 2000 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Near Pseudo Smarandache Function written by A. W. Vyawahare and published by Infinite Study. This book was released on with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Pseudo Smarandache Functions Z ( n) are defmed by David Gorski.
Download or read book On the pseudo Smarandache function written by Henry Ibstedt and published by Infinite Study. This book was released on with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt: This study originates from questions posed on alternating iterations involving the pseudo-Smarandache function Z(n) and the Euler function. Interesting questions have been resolved through the surprising involvement of Fermat numbers
Download or read book Smarandache Function Vol 1 written by R. Muller and published by Infinite Study. This book was released on 2000-08-01 with total page 69 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Smarandache function, say S, is a numerical function defined such that for every positive integer n, its image S(n) is the smallest positive integer whole factorial is divisible by n.
Download or read book On the mean value of the Pseudo Smarandache function written by Lin Cheng and published by Infinite Study. This book was released on with total page 4 pages. Available in PDF, EPUB and Kindle. Book excerpt: For any positive integer n, the Pseudo-Smarandache function Z(n) is defined as the smallest positive integer k.
Download or read book Mathematical Reviews written by and published by . This book was released on 2005 with total page 836 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Indian Science Abstracts written by and published by . This book was released on 2000-05 with total page 816 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Scientia Magna vol 2 no 4 2006 written by Zhang Wenpeng and published by Infinite Study. This book was released on with total page 123 pages. Available in PDF, EPUB and Kindle. Book excerpt: Papers on Smarandache inversion sequence, global attractivity of a recursive sequence, Smarandache fantastic ideals of Smarandache BCI-algebras, translational hull of superabundant semigroups with semilattice of idempotents, the Universality of some Smarandache loops of Bol-Moufang type, and other similar topics. Contributors: M. Karama, P. Zhang, W. Kandasamy, M. Khoshnevisan, K. Ilanthenral, M. Bencze, H. Ibstedt, W. Zhu, J. Earls, and many others.
Download or read book Various Arithmetic Functions and their Applications written by Octavian Cira and published by Infinite Study. This book was released on 2016 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over 300 sequences and many unsolved problems and conjectures related to them are presented herein. These notions, definitions, unsolved problems, questions, theorems corollaries, formulae, conjectures, examples, mathematical criteria, etc. on integer sequences, numbers, quotients, residues, exponents, sieves, pseudo-primes squares cubes factorials, almost primes, mobile periodicals, functions, tables, prime square factorial bases, generalized factorials, generalized palindromes, so on, have been extracted from the Archives of American Mathematics (University of Texas at Austin) and Arizona State University (Tempe): "The Florentin Smarandache papers" special collections, and Arhivele Statului (Filiala Vâlcea & Filiala Dolj, Romania). This book was born from the collaboration of the two authors, which started in 2013. The first common work was the volume "Solving Diophantine Equations", published in 2014. The contribution of the authors can be summarized as follows: Florentin Smarandache came with his extraordinary ability to propose new areas of study in number theory, and Octavian Cira - with his algorithmic thinking and knowledge of Mathcad.
Download or read book Wandering in the World of Smarandache Numbers written by A. A. K. Majumdar and published by . This book was released on 2010 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Sequences of Numbers Involved in Unsolved Problems written by Florentin Smarandache and published by Infinite Study. This book was released on 2006-01-01 with total page 141 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over 300 sequences and many unsolved problems and conjectures related to them are presented herein. The book contains definitions, unsolved problems, questions, theorems corollaries, formulae, conjectures, examples, mathematical criteria, etc. ( on integer sequences, numbers, quotients, residues, exponents, sieves, pseudo-primes/squares/cubes/factorials, almost primes, mobile periodicals, functions, tables, prime/square/factorial bases, generalized factorials, generalized palindromes, etc. ).
Download or read book Neutrosophic Rings written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on 2006-01-01 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: Research on algebraic structure of group rings is one of the leading, most sought-after topics in ring theory. The new class of neutrosophic rings defined in this book form a generalization of group rings and semigroup rings.The study of the classes of neutrosophic group neutrosophic rings and S-neutrosophic semigroup neutrosophic rings which form a type of generalization of group rings will throw light on group rings and semigroup rings which are essential substructures of them. A salient feature of this group is the many suggested problems on the new classes of neutrosophic rings, solutions of which will certainly develop some of the still open problems in group rings.Further, neutrosophic matrix rings find applications in neutrosophic models like Neutrosophic Cognitive Maps (NCM), Neutrosophic Relational Maps (NRM), Neutrosophic Bidirectional Memories (NBM) and so on.
