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Author: Omer Egecioglu
Publisher: World Scientific
ISBN: 9811269165
Category : Mathematics
Languages : en
Pages : 303
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Book Description
Fibonacci Cubes have been an extremely popular area of research since the 1990s.This unique compendium features the state of research into Fibonacci Cubes. It expands the knowledge in graph theoretic and combinatorial properties of Fibonacci Cubes and their variants.By highlighting various approaches with numerous examples, it provides a fundamental source for further research in the field. This useful reference text surely benefits advanced students in computer science and mathematics and serves as an archival record of the current state of the field.
Author: Omer Egecioglu
Publisher: World Scientific
ISBN: 9811269165
Category : Mathematics
Languages : en
Pages : 303
Get Book Here
Book Description
Fibonacci Cubes have been an extremely popular area of research since the 1990s.This unique compendium features the state of research into Fibonacci Cubes. It expands the knowledge in graph theoretic and combinatorial properties of Fibonacci Cubes and their variants.By highlighting various approaches with numerous examples, it provides a fundamental source for further research in the field. This useful reference text surely benefits advanced students in computer science and mathematics and serves as an archival record of the current state of the field.
Author: OMER. KLAVZAR EGECIOGLU (SANDI. MOLLARD, MICHEL.)
Publisher: World Scientific
ISBN: 9811269157
Category : Electronic books
Languages : en
Pages : 0
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Book Description
Author: Leonard Barolli
Publisher: Springer Nature
ISBN: 3031578406
Category :
Languages : en
Pages : 476
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Book Description
Author: Ryuhei Uehara
Publisher: Springer Nature
ISBN: 9819705665
Category :
Languages : en
Pages : 449
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Book Description
Author: Haifeng Qian
Publisher:
ISBN:
Category : Integrated circuits
Languages : en
Pages : 274
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Book Description
Author: Gerald E. Bergum
Publisher: Springer Science & Business Media
ISBN: 9780792313090
Category : Mathematics
Languages : en
Pages : 354
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Book Description
This volume contains the proceedings of the Seventh International Research Conference on Fibonacci Numbers and their Applications. It includes a carefully refereed collection of papers dealing with number patterns, linear recurrences and the application of the Fibonacci Numbers to probability, statistics, differential equations, cryptography, computer science and elementary number theory. This volume provides a platform for recent discoveries and encourages further research. It is a continuation of the work presented in the previously published proceedings of the earlier conferences, and shows the growing interest in, and importance of, the pure and applied aspects of Fibonacci Numbers in many different areas of science. Audience: This book will be of interest to those whose work involves number theory, statistics and probability, algebra, numerical analysis, group theory and generalisations.
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Book Description
Author: Gerald E. Bergum
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Book Description
Author: Thomas Koshy
Publisher: Wiley
ISBN: 9781118742228
Category : Mathematics
Languages : en
Pages : 704
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Book Description
This title contains a wealth of intriguing applications, examples, and exercises to appeal to both amateurs and professionals alike. The material concentrates on properties and applications while including extensive and in-depth coverage. Praise for the First Edition beautiful and well worth the reading with many exercises and a good bibliography, this book will fascinate both students and teachers. Mathematics Teacher Fibonacci and Lucas Numbers with Applications, Volume I, Second Edition provides a user-friendly and historical approach to the many fascinating properties of Fibonacci and Lucas numbers, which have intrigued amateurs and professionals for centuries. Offering an in-depth study of the topic, this book includes exciting applications that provide many opportunities to explore and experiment. In addition, the book includes a historical survey of the development of Fibonacci and Lucas numbers, with biographical sketches of important figures in the field. Each chapter features a wealth of examples, as well as numeric and theoretical exercises that avoid using extensive and time-consuming proofs of theorems. The Second Edition offers new opportunities to illustrate and expand on various problem-solving skills and techniques. In addition, the book features: A clear, comprehensive introduction to one of the most fascinating topics in mathematics, including links to graph theory, matrices, geometry, the stock market, and the Golden Ratio Abundant examples, exercises, and properties throughout, with a wide range of difficulty and sophistication Numeric puzzles based on Fibonacci numbers, as well as popular geometric paradoxes, and a glossary of symbols and fundamental properties from the theory of numbers A wide range of applications in many disciplines, including architecture, biology, chemistry, electrical engineering, physics, physiology, and neurophysiology The Second Edition is appropriate for upper-undergraduate and graduate-level courses on the history of mathematics, combinatorics, and number theory. The book is also a valuable resource for undergraduate research courses, independent study projects, and senior/graduate theses, as well as a useful resource for computer scientists, physicists, biologists, and electrical engineers. Thomas Koshy, PhD, is Professor Emeritus of Mathematics at Framingham State University in Massachusetts and author of several books and numerous articles on mathematics. His work has been recognized by the Association of American Publishers, and he has received many awards, including the Distinguished Faculty of the Year. Dr. Koshy received his PhD in Algebraic Coding Theory from Boston University. Anyone who loves mathematical puzzles, number theory, and Fibonacci numbers will treasure this book. Dr. Koshy has compiled Fibonacci lore from diverse sources into one understandable and intriguing volume, [interweaving] a historical flavor into an array of applications. Marjorie Bicknell-Johnson.
Author: Xian-He Sun
Publisher:
ISBN:
Category : Hypercube
Languages : en
Pages : 24
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Book Description
Abstract: "Many CFD (computational fluid dynamics) and other scientific applications can be partitioned into subproblems. However, in general the partitioned subproblems are very large. They demand high performance computing power themselves, and the solutions of the subproblems have to be combined at each time step. In this paper, the cube-connect cube (CCCube) architecture is studied. The CCCube architecture is an extended hypercube structure with each node represented as a cube. It requires fewer physical links between nodes than the hypercube, and provides the same communication support as the hypercube does on many applications. The reduced physical links can be used to enhance the bandwidth of the remanding links and, therefore, enhance the overall performance. The concept and the method to obtain optimal CCCubes, which are the CCCubes with a minimum number of links under a given total number of nodes, are proposed. The superiority of optimal CCCubes over standard hypercubes has also been shown in terms of the link usage in the embedding of a binomial tree. A useful computation structure based on a semi-binomial tree for divide-and-conquer type of parallel algorithms has been identified. We have shown that this structure can be implemented in optimal CCCubes without performance degradation compared with regular hypercubes. The result presented in this paper should provide a useful approach to design of scientific parallel computers."
