Generalized Fibonacci Sequences In Groupoids PDF Download
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Author | : Hee Sik Kim |
Publisher | : Infinite Study |
Total Pages | : 10 |
Release | : |
Genre | : |
ISBN | : |
Download Generalized Fibonacci sequences in groupoids Book in PDF, ePub and Kindle
In this paper, we introduce the notion of generalized Fibonacci sequences over a groupoid and discuss it in particular for the case where the groupoid contains idempotents and pre-idempotents.
Author | : Hee Sik Kim |
Publisher | : Infinite Study |
Total Pages | : 10 |
Release | : |
Genre | : |
ISBN | : |
Download Generalized Fibonacci sequences in groupoids Book in PDF, ePub and Kindle
In this paper, we introduce the notion of generalized Fibonacci sequences over a groupoid and discuss it in particular for the case where the groupoid contains idempotents and pre-idempotents. Using the notion of Smarandache-type P-algebra, we obtain several relations on groupoids which are derived from generalized Fibonacci sequences.
Author | : Andreas N. Philippou |
Publisher | : Springer Science & Business Media |
Total Pages | : 225 |
Release | : 2013-03-09 |
Genre | : Mathematics |
ISBN | : 940157801X |
Download Applications of Fibonacci Numbers Book in PDF, ePub and Kindle
This book contains nineteen papers from among the twenty-five papers presented at the Second International Conference on Fibonacci Numbers and Their Applications. These papers have been selected after a careful review by well known referee's in the field, and they range from elementary number theory to probability and statistics. The Fibonacci numbers are their unifying bond. It is anticipated that this book will be useful to research workers and graduate students interested in the Fibonacci numbers and their applications. October 1987 The Editors Gerald E. Bergum South Dakota State University Brookings, South Dakota, U.S.A. Andreas N. Philippou University of Patras Patras, Greece Alwyn F. Horadam University of New England Armidale, N.S.W., Australia xiii THE ORGANIZING COMMITTEES LOCAL COMMITTEE INTERN A TIONAL COMMITTEE Bergum, G., Chairman Philippou, A. (Greece), Chairman Edgar, H., Co-chalrman Horadam, A. (Australia), Co-chalrman Bergum, G. (U.s.A.) Thoro, D. Kiss, P. (Hungary) Johnson, M. Long, C. (U.S.A.) Lange, L.
Author | : Yashwant Kumar Panwar |
Publisher | : LAP Lambert Academic Publishing |
Total Pages | : 92 |
Release | : 2012 |
Genre | : |
ISBN | : 9783844399288 |
Download Generalized Fibonacci Sequences Book in PDF, ePub and Kindle
The book entitled "Generalized Fibonacci sequences" has been written to meet the requirements of research scholars of Mathematics. This text provides an introduction to the generalized Fibonacci sequences that are typically encountered (and used) in Mathematics and Engineering research scholars.The amount of literature bears witness to the ubiquity of the Fibonacci numbers. Not only are these numbers popular in expository literature because of their beautiful properties, but also the fact that they occur in nature' adds to their fascination. The Fibonacci sequence and generalized Fibonacci sequence are a source of many nice and interesting identities. These numbers are of great importance in the study of many subjects such as algebra, geometry, combinatorics, approximation theory, graph theory and number theory itself. They occur in a variety of other fields such as finance, art, architecture, music, etc. Fibonacci sequence has been generalized in a number of ways. This book is centered on generalization of Fibonacci sequences.
Author | : Paul Stanley Fisher |
Publisher | : |
Total Pages | : 66 |
Release | : 1965 |
Genre | : Matrices |
ISBN | : |
Download Generalized Fibonacci Sequences Book in PDF, ePub and Kindle
Author | : Richard A Dunlap |
Publisher | : World Scientific |
Total Pages | : 170 |
Release | : 1997-12-16 |
Genre | : Mathematics |
ISBN | : 9814496944 |
Download The Golden Ratio And Fibonacci Numbers Book in PDF, ePub and Kindle
In this invaluable book, the basic mathematical properties of the golden ratio and its occurrence in the dimensions of two- and three-dimensional figures with fivefold symmetry are discussed. In addition, the generation of the Fibonacci series and generalized Fibonacci series and their relationship to the golden ratio are presented. These concepts are applied to algorithms for searching and function minimization. The Fibonacci sequence is viewed as a one-dimensional aperiodic, lattice and these ideas are extended to two- and three-dimensional Penrose tilings and the concept of incommensurate projections. The structural properties of aperiodic crystals and the growth of certain biological organisms are described in terms of Fibonacci sequences.
Author | : Omprakash Sikhwal |
Publisher | : LAP Lambert Academic Publishing |
Total Pages | : 76 |
Release | : 2012-03 |
Genre | : |
ISBN | : 9783848414017 |
Download Generalization of Fibonacci Sequence Book in PDF, ePub and Kindle
Fibonacci sequence is one of the most rapidly growing areas of mathematics which has a wide variety of applications in science and mathematics. This sequence is constructed by choosing the first two numbers (The "seeds" of the sequence) then assigning the rest by the rule that each number be the sum of the two preceding numbers. The Fibonacci sequence is defined as 1 1 2 3 5 8 13 21 34 55 89 144 .... The terms are called Fibonacci numbers. Fibonacci numbers are studied as part of number theory and have many applications in the counting of mathematical objects such as sets, permutations and sequences and to computer science. This sequence is a very intriguing and interesting subject. This book is centered on generalization of Fibonacci sequences. Fibonacci sequence has been generalized in a number of ways. The author simply presented the subject matter in his own style and makes the subject easier by giving concepts and number of results related to each chapter. Emphasis has been made on methods of generalization for Fibonacci sequence in various patterns. Identities of coupled Fibonacci sequences are presented in additive and multiplicative forms.
Author | : ANTHONY G. SHANNON |
Publisher | : |
Total Pages | : |
Release | : 2018 |
Genre | : |
ISBN | : 9781536134544 |
Download FIBONACCI NUMBERS AND INTEGER STRUCTURE. Book in PDF, ePub and Kindle
Author | : G.E. Bergum |
Publisher | : Springer Science & Business Media |
Total Pages | : 500 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 9401150206 |
Download Applications of Fibonacci Numbers Book in PDF, ePub and Kindle
Proceedings of `The Seventh International Research Conference on Fibonacci Numbers and Their Applications', Technische Universität, Graz, Austria, July 15-19, 1996
Author | : Mohsen Dar |
Publisher | : LAP Lambert Academic Publishing |
Total Pages | : 64 |
Release | : 2012 |
Genre | : |
ISBN | : 9783659197512 |
Download Fibonacci-Like Sequence Book in PDF, ePub and Kindle
In the recent years, there has been much interest in the field of Fibonacci numbers.The Fibonacci sequence is considered as one of the most interesting sequences in all of mathematics.There are several ways in which the Fibonacci sequence can be generalized. In this book, the Fibonacci-Like sequence has been generalized.The associated initial conditions are the sum of initial conditions of Fibonacci sequence and m times the initial conditions of Lucas sequence respectively.Various properties and identities have been developed for this Generalized Fibonacci-Like sequenc