Download or read book Generalized Fibonacci sequences in groupoids written by Hee Sik Kim and published by Infinite Study. This book was released on with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Generalized Fibonacci sequences in groupoids written by Hee Sik Kim and published by Infinite Study. This book was released on with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Generalized Fibonacci Sequences written by Yashwant Kumar Panwar and published by LAP Lambert Academic Publishing. This book was released on 2012 with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Applications of Fibonacci Numbers written by Andreas N. Philippou and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Generalized Fibonacci Sequences written by Paul Stanley Fisher and published by . This book was released on 1965 with total page 66 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Golden Ratio And Fibonacci Numbers written by Richard A Dunlap and published by World Scientific. This book was released on 1997-12-16 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Generalization of Fibonacci Sequence written by Omprakash Sikhwal and published by LAP Lambert Academic Publishing. This book was released on 2012-03 with total page 76 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book FIBONACCI NUMBERS AND INTEGER STRUCTURE written by ANTHONY G. SHANNON and published by . This book was released on 2018 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Fibonacci Like Sequence written by Mohsen Dar and published by LAP Lambert Academic Publishing. This book was released on 2012 with total page 64 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Download or read book Generalized Fibonacci Sequences and Their Congruences written by Tammy Smithson Anderson and published by . This book was released on 1990 with total page 88 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Algorithms as a Basis of Modern Applied Mathematics written by Šárka Hošková-Mayerová and published by Springer Nature. This book was released on 2021-01-13 with total page 515 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a self-contained guide to advanced algorithms and their applications in various fields of science. Gathering contributions by authoritative researchers in the field of mathematics, statistics and computer science, it aims at offering a comprehensive and up-to-date view of algorithms, including the theory behind them, as well as practical considerations, current limitations and solutions. It covers applications in energy management, decision making, computer networks, materials science, mechanics and process optimization. It offers an integrated and timely guide to important algorithms, and represents a valuable reference resource for graduate students and researchers in various fields of applied mathematics, statistics and engineering.
Download or read book Two sided Generalized Fibonacci Sequences written by Peter C. Fishburn and published by . This book was released on 1987 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Waiting Times and Generalized Fibonacci Sequences written by V. R. R. Uppuluri and published by . This book was released on 1982 with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Multisection of the Generalized Fibonacci Sequence written by Robert Chow and published by . This book was released on 1975 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Generalized Fibonacci Sequence and Related Polynomials written by Shikha Bhatnagar and published by . This book was released on 2018-07-28 with total page 60 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Unique Integer Representations by Generalized Fibonacci Sequences Derived from Pascals Triangle written by Nannette S. Cox and published by . This book was released on 1970 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Study of the Fibonacci Sequence and Related Generalized Sequences written by Richard Lee Shildt and published by . This book was released on 1969 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt:
