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Titlebook: Applications of Fibonacci Numbers; Volume 9: Proceeding Frederic T. Howard Conference proceedings 2004 Springer Science+Business Media Dord

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发表于 2025-3-21 19:16:35 | 显示全部楼层 |阅读模式
期刊全称Applications of Fibonacci Numbers
期刊简称Volume 9: Proceeding
影响因子2023Frederic T. Howard
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图书封面Titlebook: Applications of Fibonacci Numbers; Volume 9: Proceeding Frederic T. Howard Conference proceedings 2004 Springer Science+Business Media Dord
影响因子This book contains 28 research articles from among the 49 papers and abstracts presented at the Tenth International Conference on Fibonacci Numbers and Their Applications. These articles have been selected after a careful review by expert referees, and they range over many areas of mathematics. The Fibonacci numbers and recurrence relations are their unifying bond. We note that the article "Fibonacci, Vern and Dan" , which follows the Introduction to this volume, is not a research paper. It is a personal reminiscence by Marjorie Bicknell-Johnson, a longtime member of the Fibonacci Association. The editor believes it will be of interest to all readers. It is anticipated that this book, like the eight predecessors, will be useful to research workers and students at all levels who are interested in the Fibonacci numbers and their applications. March 16, 2003 The Editor Fredric T. Howard Mathematics Department Wake Forest University Box 7388 Reynolda Station Winston-Salem, NC 27109 xxi THE ORGANIZING COMMITTEES LOCAL COMMITTEE INTERNATIONAL COMMITTEE Calvin Long, Chairman A. F. Horadam (Australia), Co-Chair Terry Crites A. N. Philippou (Cyprus), Co-Chair Steven Wilson A. Adelberg (U. S
Pindex Conference proceedings 2004
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Finding Fibonacci in a Fractal,he fractal dimension using the Box Counting Theorem and also the concept of similitude. We find affine transformations that generate some of the set of points that are in the fractal, which have the form .x + . for a pair of two matrices .. and .. and some vectors x, .. and ... We denote these trans
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Pythagorean Quadrilaterals,l solutions are well classified, and numerous generalizations have been thoroughly studied. Lagrange [6] proved that every positive integer was the sum of 4 squares of integers. Waring [9] conjectured and Hilbert [5] proved that for every positive integer . there was a constant .(.) such that every
发表于 2025-3-22 15:39:59 | 显示全部楼层
Ordering Words and Sets of Numbers: The Fibonacci Case, . = (0, 1, 2, 4, 5, 8, 9, 10, 16, ...) that has remarkable connections with the sequence of Fibonacci numbers. For example, the positions of the even numbers in . are the positions of the 0’s in the infinite Fibonacci word, which begins with 0100010100. This ordering also matches that of the set of
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Cullen Numbers in Binary Recurrent Sequences,see [2] and [8] ) for all 1 ≤ . < 412000, except for . = 1, 141, 4713, 5795, 6611, 18496, 32292, 32469, 59656, 90825, 262419, 361275. John Conway (cited in [5]) observes that the Cullen number .. is divisible by . = 2. - 1 if . is a prime of the form 8.±3. Hooley [6] showed that almost all Cullen nu
发表于 2025-3-23 04:03:41 | 显示全部楼层
,A Generalization of Euler’s Formula and its Connection to Fibonacci Numbers,t, and to higher dimensions. Let an .-cube with .-dimensional volume 1 consist of all .-tuples (.., .., ..., ..) where each .., . = 1, ..., . satisfies 0 ≤ .. ≤ 1. The boundary points of the .-cube are the vertices, which we will call 0-cubes to indicate that they are 0-dimensional. For each such ve
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Extensions of Generalized Binomial Coefficients,en . for ., . ≥ 0 and . ≥ 1, as the number of ways . objects can be placed in . cells, each of which holds a maximum of . - 1 objects. The ordinary binomial coefficients are obtained when . = 2. This description tacitly assumes that empty cells produce distinct arrangements, that the objects are pla
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