Download or read book On some pseudo Smarandache function related triangles written by A.A.K. Majumdar 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 proves the existence of an infinite family of pairs of dissimilar Pythagorean triangles that are pseudo Smarandache related.
Download or read book THE PSEUDO SMARANDACHE FUNCTION written by David Gorski and published by Infinite Study. This book was released on with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Pseudo-Smarandache Function is part of number theory. The function comes from the Smarandache Function.
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 NUMBERS REVISITED written by A.A.K. MAJUMDAR and published by Infinite Study. This book was released on with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Scientia Magna Vol 4 No 3 2008 written by Zhang Wenpeng and published by Infinite Study. This book was released on with total page 127 pages. Available in PDF, EPUB and Kindle. Book excerpt: Papers on the Smarandache additive sequence, an equation of the Smarandache function, the property of the Smarandache-Riemann zeta sequence, the continued fractions and Dirichlet L-functions, some pseudo Smarandache function related triangles, and similar topics. Contributors: F. Li, M. Turgut, S. Yilmaz, K. Wang, S. Yilmaz, M. Turgut, A. A. Majumdar, B. Chen, C. Shi, M. Fang, X. Li, and others.
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 Some properties of the Pseudo Smarandache function written by Richard Pinch and published by Infinite Study. This book was released on with total page 6 pages. Available in PDF, EPUB and Kindle. Book excerpt: CharlesAshbacher hasposedanumberofquestionsrelatingtopseudo-Smarandachefunction Z(n).
Download or read book Scientia Magna Vol 6 No 1 2010 written by Zhang Wenpeng and published by Infinite Study. This book was released on 2010 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: Papers on Smarandache¿s codification used in computer programming, smarandacheials, totient and congruence functions, sequences, irrational constants in number theory, multi-space and geometries.
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 Scientia Magna Vol 5 No 4 2009 written by Zhang Wenpeng and published by Infinite Study. This book was released on with total page 131 pages. Available in PDF, EPUB and Kindle. Book excerpt: Papers on Pseudo-Smarandache function and Smarandache LCM function, the minimum number of polychromatic C-hyperedges of the complete uniform mixed hypergraphs under one special condition, complete monotonicity properties for the gamma function and Barnes G-function, semigroup of continuous functions and Smarandache semigroups, and other similar topics. Contributors: T. Srinivas, A. K. S. C. S. Rao, X. Liang, W. He, J. Soontharanon, U. Leerawat, J. Wang, C. Zheng, F. A. Z. Shirazi, A. Hosseini, and many others.
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 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 Research on Smarandache Problems in Number Theory collected papers Vol I written by Wenpeng Zhang and published by Infinite Study. This book was released on 2005-01-01 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: Number theory is an ancient subject, but we still cannot answer many simplest and most natural questions about the integers. Some old problems have been solved, but more arise. All the research for these ancient or new problems implicated and are still promoting the development of number theory and mathematics.American-Romanian number theorist Florentin Smarandache introduced hundreds of interest sequences and arithmetical functions, and presented many problems and conjectures in his life. In 1991, he published a book named Only problems, Not solutions!. He presented 105 unsolved arithmetical problems and conjectures about these functions and sequences in it. Already many researchers studied these sequences and functions from his book, and obtained important results.This book, Research on Smarandache Problems in Number Theory (Collected papers), contains 41 research papers involving the Smarandache sequences, functions, or problems and conjectures on them.All these papers are original. Some of them treat the mean value or hybrid mean value of Smarandache type functions, like the famous Smarandache function, Smarandache ceil function, or Smarandache primitive function. Others treat the mean value of some famous number theoretic functions acting on the Smarandache sequences, like k-th root sequence, k-th complement sequence, or factorial part sequence, etc. There are papers that study the convergent property of some infinite series involving the Smarandache type sequences. Some of these sequences have been first investigated too. In addition, new sequences as additive complement sequences are first studied in several papers of this book.Most authors of these papers are my students. After this chance, I hope they will be more interested in the mysterious integer and number theory!More future papers by my students will focus on the Smarandache notions, such as sequences, functions, constants, numbers, continued fractions, infinite products, series, etc. in number theory!List of the Contributors:Zhang Wenpeng, Xu Zhefeng, Zhang Xiaobeng, Zhu Minhui, Gao Nan, Guo Jinbao, He Yanfeng, Yang Mingshun, Li Chao, Gao Jing, Yi Yuan, Wang Xiaoying, Lv Chuan, Yao Weili, Gou Su, He Xiaolin, Li Hailong, Liu Duansen, Li Junzhuang, Liu Huaning, Zhang Tianping, Ding Liping, Li Jie, Lou Yuanbing, Zhao Xiqing, Zhao Xiaopeng, Yang Cundian, Liang Fangchi
Download or read book Smarandache Function Journal vol 14 2004 written by Sabin Tabirca and published by Infinite Study. This book was released on with total page 418 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 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 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:
Download or read book Mathematical Reviews written by and published by . This book was released on 2002 with total page 732 pages. Available in PDF, EPUB and Kindle. Book excerpt:
