Applications of Smarandache Function, Prime and Coprime Functions

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Publisher : Infinite Study
ISBN 13 : 1931233306
Total Pages : 25 pages
Book Rating : 4.9/5 (312 download)

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Book Synopsis Applications of Smarandache Function, Prime and Coprime Functions by : Sebastián Martín Ruiz

Download or read book Applications of Smarandache Function, Prime and Coprime Functions written by Sebastián Martín Ruiz and published by Infinite Study. This book was released on 2001 with total page 25 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Applications of Smarandache Function and Prime and Coprime Functions

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Publisher :
ISBN 13 : 9781461930082
Total Pages : 26 pages
Book Rating : 4.9/5 (3 download)

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Book Synopsis Applications of Smarandache Function and Prime and Coprime Functions by : Sebastián Martín Ruiz

Download or read book Applications of Smarandache Function and Prime and Coprime Functions written by Sebastián Martín Ruiz and published by . This book was released on 2014-05-14 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Math Encyclopedia of Smarandache type Notions

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Publisher : Infinite Study
ISBN 13 : 1599732521
Total Pages : 136 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis The Math Encyclopedia of Smarandache type Notions by : Marius Coman

Download or read book The Math Encyclopedia of Smarandache type Notions written by Marius Coman and published by Infinite Study. This book was released on with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Various Arithmetic Functions and their Applications

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Publisher : Infinite Study
ISBN 13 : 1599733722
Total Pages : 402 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis Various Arithmetic Functions and their Applications by : Octavian Cira

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.

Mathematical Reviews

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Publisher :
ISBN 13 :
Total Pages : 1770 pages
Book Rating : 4.X/5 (6 download)

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Book Synopsis Mathematical Reviews by :

Download or read book Mathematical Reviews written by and published by . This book was released on 2004 with total page 1770 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Generalized Partitions and New Ideas on Number Theory and Smarandache Sequences

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Publisher : Infinite Study
ISBN 13 : 1931233349
Total Pages : 219 pages
Book Rating : 4.9/5 (312 download)

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Book Synopsis Generalized Partitions and New Ideas on Number Theory and Smarandache Sequences by : Amarnath Murthy

Download or read book Generalized Partitions and New Ideas on Number Theory and Smarandache Sequences written by Amarnath Murthy and published by Infinite Study. This book was released on 2005-01-01 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Geometric Theorems, Diophantine Equations, and Arithmetic Functions

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Publisher : Infinite Study
ISBN 13 : 1931233519
Total Pages : 302 pages
Book Rating : 4.9/5 (312 download)

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Book Synopsis Geometric Theorems, Diophantine Equations, and Arithmetic Functions by : J. Sándor

Download or read book Geometric Theorems, Diophantine Equations, and Arithmetic Functions written by J. Sándor and published by Infinite Study. This book was released on 2002 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Wandering in the World of Smarandache Numbers

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Publisher :
ISBN 13 : 9781461913665
Total Pages : 215 pages
Book Rating : 4.9/5 (136 download)

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Book Synopsis Wandering in the World of Smarandache Numbers by : A. A. K. Majumdar

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:

Prime Numbers

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Publisher : Springer Science & Business Media
ISBN 13 : 0387289798
Total Pages : 597 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Prime Numbers by : Richard Crandall

Download or read book Prime Numbers written by Richard Crandall and published by Springer Science & Business Media. This book was released on 2006-04-07 with total page 597 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bridges the gap between theoretical and computational aspects of prime numbers Exercise sections are a goldmine of interesting examples, pointers to the literature and potential research projects Authors are well-known and highly-regarded in the field

Analysis of Algorithms

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Publisher : Jones & Bartlett Learning
ISBN 13 : 0763707821
Total Pages : 471 pages
Book Rating : 4.7/5 (637 download)

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Book Synopsis Analysis of Algorithms by : Jeffrey J. McConnell

Download or read book Analysis of Algorithms written by Jeffrey J. McConnell and published by Jones & Bartlett Learning. This book was released on 2008 with total page 471 pages. Available in PDF, EPUB and Kindle. Book excerpt: Data Structures & Theory of Computation

Indian Science Abstracts

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ISBN 13 :
Total Pages : 816 pages
Book Rating : 4.5/5 (721 download)

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Book Synopsis Indian Science Abstracts by :

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:

Erasure Techniques in MRD Codes

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Publisher : Infinite Study
ISBN 13 : 1599731770
Total Pages : 164 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis Erasure Techniques in MRD Codes by : W. B. Vasantha Kandasamy, Florentin Smarandache, R. Sujatha, R. S. Raja Duray

Download or read book Erasure Techniques in MRD Codes written by W. B. Vasantha Kandasamy, Florentin Smarandache, R. Sujatha, R. S. Raja Duray and published by Infinite Study. This book was released on 2012 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book the notions of erasure techniques to MRD codes and concatenated MRD codes are introduced. Special type of concatenated supercodes using linear codes are given, which may find its application in networking.

Essentials of Programming in Mathematica®

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Publisher : Cambridge University Press
ISBN 13 : 110711666X
Total Pages : 439 pages
Book Rating : 4.1/5 (71 download)

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Book Synopsis Essentials of Programming in Mathematica® by : Paul Wellin

Download or read book Essentials of Programming in Mathematica® written by Paul Wellin and published by Cambridge University Press. This book was released on 2016 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers Mathematica® for beginners. An example-driven text covering a wide variety of applications, containing over 350 exercises with solutions available online.

Counting Polynomial Matrices over Finite Fields

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Publisher : BoD – Books on Demand
ISBN 13 : 3958260640
Total Pages : 166 pages
Book Rating : 4.9/5 (582 download)

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Book Synopsis Counting Polynomial Matrices over Finite Fields by : Julia Lieb

Download or read book Counting Polynomial Matrices over Finite Fields written by Julia Lieb and published by BoD – Books on Demand. This book was released on 2017-09-15 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is dealing with three mathematical areas, namely polynomial matrices over finite fields, linear systems and coding theory. Primeness properties of polynomial matrices provide criteria for the reachability and observability of interconnected linear systems. Since time-discrete linear systems over finite fields and convolutional codes are basically the same objects, these results could be transferred to criteria for non-catastrophicity of convolutional codes. In particular, formulas for the number of pairwise coprime polynomials and for the number of mutually left coprime polynomial matrices are calculated. This leads to the probability that a parallel connected linear system is reachable and that a parallel connected convolutional code is non-catastrophic. Moreover, other networks of linear systems and convolutional codes are considered.

Elementary Number Theory in Nine Chapters

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Publisher : Cambridge University Press
ISBN 13 : 9780521585316
Total Pages : 420 pages
Book Rating : 4.5/5 (853 download)

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Book Synopsis Elementary Number Theory in Nine Chapters by : James J. Tattersall

Download or read book Elementary Number Theory in Nine Chapters written by James J. Tattersall and published by Cambridge University Press. This book was released on 1999-10-14 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended to serve as a one-semester introductory course in number theory. Throughout the book a historical perspective has been adopted and emphasis is given to some of the subject's applied aspects; in particular the field of cryptography is highlighted. At the heart of the book are the major number theoretic accomplishments of Euclid, Fermat, Gauss, Legendre, and Euler, and to fully illustrate the properties of numbers and concepts developed in the text, a wealth of exercises have been included. It is assumed that the reader will have 'pencil in hand' and ready access to a calculator or computer. For students new to number theory, whatever their background, this is a stimulating and entertaining introduction to the subject.

Handbook of Number Theory I

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Publisher : Springer Science & Business Media
ISBN 13 : 1402042159
Total Pages : 638 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Handbook of Number Theory I by : József Sándor

Download or read book Handbook of Number Theory I written by József Sándor and published by Springer Science & Business Media. This book was released on 2005-11-17 with total page 638 pages. Available in PDF, EPUB and Kindle. Book excerpt: This handbook covers a wealth of topics from number theory, special attention being given to estimates and inequalities. As a rule, the most important results are presented, together with their refinements, extensions or generalisations. These may be applied to other aspects of number theory, or to a wide range of mathematical disciplines. Cross-references provide new insight into fundamental research. Audience: This is an indispensable reference work for specialists in number theory and other mathematicians who need access to some of these results in their own fields of research.

Information Systems Design and Intelligent Applications

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Publisher : Springer
ISBN 13 : 9811075123
Total Pages : 1112 pages
Book Rating : 4.8/5 (11 download)

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Book Synopsis Information Systems Design and Intelligent Applications by : Vikrant Bhateja

Download or read book Information Systems Design and Intelligent Applications written by Vikrant Bhateja and published by Springer. This book was released on 2018-03-01 with total page 1112 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is a collection of high-quality peer-reviewed research papers presented at International Conference on Information System Design and Intelligent Applications (INDIA 2017) held at Duy Tan University, Da Nang, Vietnam during 15-17 June 2017. The book covers a wide range of topics of computer science and information technology discipline ranging from image processing, database application, data mining, grid and cloud computing, bioinformatics and many others. The various intelligent tools like swarm intelligence, artificial intelligence, evolutionary algorithms, bio-inspired algorithms have been well applied in different domains for solving various challenging problems.