Download or read book SOME CONNECTIONS BETWEEN THE SMARANDACHE FUNCTION AND THE FIBONACCI SEQUENCE written by C. Dumitrescu and published by Infinite Study. This book was released on with total page 11 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper is aimed to provide generalizations of the Smarandache function. They will be constructed by means of sequences more general than the sequence of the factorials. Such sequences are monotonously convergent to zero sequences and divisibility sequences (in particular the Fibonacci sequence).
Download or read book The Smarandache Function written by Constantin Dumitrescu and published by Infinite Study. This book was released on 1996-01-01 with total page 137 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book An Introduction to the Smarandache Function written by Charles Ashbacher and published by Infinite Study. This book was released on 1995 with total page 62 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 Function Journal vol 8 1997 written by C. Dumitrescu and published by Infinite Study. This book was released on with total page 210 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 Function Journal vol 10 1999 written by V. Seleacu and published by Infinite Study. This book was released on with total page 213 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 10 written by V. Seleacu and published by Infinite Study. This book was released on 2000-08-01 with total page 211 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 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 Smarandache Sequences Stereograms and Series by C Ashbacher written by Charles Ashbacher and published by Infinite Study. This book was released on 2005-12-01 with total page 135 pages. Available in PDF, EPUB and Kindle. Book excerpt: Florentin Smarandache is truly a Renaissance man, having produced quality work in art, mathematics and literature. This is my fifth book where I expand on some of his mathematical ideas and there seems to be no end in sight. In chapter 1, several sequences created by concatenating all of the natural numbers are examined. By expressing the numbers in bases other than 10, a single type of concatenation can generate several different sequences. Upon examination, it can be seen that there are some significant differences between the sequences. Subsets of the natural numbers can be concatenated to create additional sequences and several are examined in chapter 2. The successive odd numbers and the successive even numbers are concatenated to form two of the sequences that are considered in detail. A stereogram is a two-dimensional image that contains a three-dimensional image. By looking at it long enough, the eyes lose focus in just the right way and the image appears. Simple Smarandache stereograms can be constructed using only characters and many different images are presented in chapter 3. The Smarandache functions can be used in combination with other mathematical operations to create many different infinite series. Many such series are examined in chapter four and conclusions whether they converge or diverge are reached.
Download or read book Plucking from the Tree of Smarandache Functions and Sequences written by Charles Ashbacher and published by Infinite Study. This book was released on 1998-01-01 with total page 80 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 Function Journal vol 12 2001 written by Charles Ashbacher and published by Infinite Study. This book was released on with total page 368 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 Program of the First International Conference on Smarandache Type Notions in Number Theory University of Craiova 1997 written by editors C. Dumitrescu, V. Seleacu and published by Infinite Study. This book was released on with total page 33 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 Proceedings of the First International Conference on Smarandache Type Notions in Number Theory University of Craiova 21 24 August 1997 second edition written by C. Dumitrescu and published by Infinite Study. This book was released on 2000-08-01 with total page 211 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book G ADD ON DIGITAL SIEVE GENERAL PERIODICAL AND NON ARITHMETIC SEQUENCES written by Florentin Smarandache and published by Infinite Study. This book was released on with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt: Other new sequences are introduced in number theory, and for each one a general question: how many primes each sequence has.