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Fibonacci word - Wikipedia, the free encyclopedia
A Fibonacci word is a specific sequence of binary digits (or symbols from any two-letter alphabet). The Fibonacci word is formed by repeated concatenation in ...
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GENERATING FIBONACCI WORDS - The Fibonacci Quarterly
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GENERATING FIBONACCI WORDS. Wai-fong Cfauaii*. Department of Mathematics, Chung-Yuan Christian University,. Chung-Li, Taiwan 320, Republic of ...
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The Fibonacci Word fractal
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by A Monnerot-Dumaine - 2009 - Cited by 1 - Related articles
Mar 13, 2009 – The Fibonacci Word Fractal. Alexis Monnerot-Dumaine∗. February 8, 2009. Abstract. The Fibonacci Word Fractal is a self-similar fractal curve ...
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String Rewriting and the Fibonacci Word
www.washingtonart.net/whealton/fibword.htmlSteve Whealton. String Rewriting and the Fibonacci Word. Something that my musical and my visual work have in common is maintaining a proper balance ...
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[1212.1368] A Generalization of the Fibonacci Word Fractal and the ...
arxiv.org › csby JL Ramírez - 2012
Dec 6, 2012 – Abstract: In this paper we introduce a family of infinite words that generalize the Fibonacci word and we study their combinatorial properties.
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Images for fibonacci word
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6029 - ACM-ICPC Live Archive
The Fibonacci word sequence of bit strings is defined as: F(n) = $\displaystyle \cases{0 & if $n = 0$ \cr. Here + denotes concatenation of strings. The first few ...
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The Exact Number of Squares in Fibonacci Words - Curtin ...
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by AS Fraenkel - Cited by 29 - Related articles
The Exact Number of Squares in Fibonacci Words. Aviezri S. Fraenkel 1. and. Jamie Simpson. 2. Abstract. All our words (sequences) are binary. A square is a ...
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c# - Subwords of a fibonacci word - Stack Overflow
5 answers - 24 Jan 2012I'm trying to understand this: http://tcs.uj.edu.pl/~walczak/fibonacci.pdf ... We can't write code for you. What have you tried ... please write code of the ...
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The structure of subword graphs and suffix trees of Fibonacci words
www.mimuw.edu.pl/~rytter/MYPAPERS/Fibonacci.pdfFile Format: PDF/Adobe Acrobat - Quick View
by W Rytter - 2006 - Cited by 22 - Related articles
The simple structure of dawgs of Fibonacci words gives in many cases simplified alternative proofs ... simple way) into the suffix tree for the next Fibonacci word.
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Workshop on Fibonacci Words
www.math.utu.fi/projects/fibonacci/The topic of the workshop belongs to combinatorics on words and combinatorial number theory related to Fibonacci numbers. The talks given by the key ...
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PERIODS OF FACTORS OF THE FIBONACCI WORD 1. Introduction ...
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by K SAARI - Cited by 1 - Related articles
PERIODS OF FACTORS OF THE FIBONACCI WORD. KALLE SAARI. Abstract. We show that if w is a factor of the infinite Fibonacci word, then the least period of ...
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Some Properties of the singular words of the Fibonacci ... - CiteSeerX
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by ZX WEN - Cited by 48 - Related articles
The combinatorial properties of the Fibonacci in nite word are of great interest in ...subwords of the Fibonacci word: as we shall see, the most striking of these ...
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Workshop on Fibonacci Words - Turku Centre for Computer Science
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The workshop on Fibonacci Words was a three day meeting held in Turku 27 – 29 ...WORD EQUATIONS, FIBONACCI NUMBERS, AND HILBERT'S TENTH ...
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A simple representation of subwords of the Fibonacci word
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by B WALCZAK - 2010 - Related articles
word f∞ by a specific concatenation of finite Fibonacci words. It is unique ...Introduction. Fibonacci words are strings over {a, b} defined inductively as follows: ...
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Fibonacci word patterns in two-way infinite Fibonacci words
by WF Chuan - 2012 - Related articles
Jun 15, 2012 – The studies of 1-Fibonacci word patterns and 0-Fibonacci wordpatterns were initiated by Turner (1988) [18] and Chuan (1993) [2] respectively.
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Locating factors of the infinite Fibonacci word - ScienceDirect
by WF Chuan - 2005 - Cited by 8 - Related articles
Let . Let a, b be two distinct letters. The infinite Fibonacci word is the infinite wordG=babbababbabbababbababbabba⋯whose nth letter is a (resp., b) if [(n+1.
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Hankel determinants for the Fibonacci word and Padé approximation
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by T Kamae - 1999 - Cited by 5 - Related articles
ACTA ARITHMETICA. LXXXIX.2 (1999). Hankel determinants for the Fibonacci wordand Padé approximation by. Teturo Kamae (Osaka), Jun-ichi Tamura ...
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A new characterization of the Fibonacci word - liafa
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A NEW CHARACTERIZATION OF THE FIBONACCI WORD. V. BERTH E, S. BRLEK, AND P. CHOQUETTE. Abstract. Using the run-length encoding , the ...
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Emerald | | Locating factors of the infinite Fibonacci word
by WF Chuan - Cited by 8 - Related articles
Locating factors of the infinite Fibonacci word. Document Information: Title: Locating factors of the infinite Fibonacci word. Author(s): Chuan W-F, (Chung-yuan ...
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Some Properties of the singular words of the Fibonacci word
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by ZX WEN - Cited by 48 - Related articles
The combinatorial properties of the Fibonacci infinite word are of. great interest in ...the Fibonacci word in singular words and their consequences. By using ...
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The Fibonacci Rabbit sequence - the Golden String
www.maths.surrey.ac.uk/hosted-sites/R.../Fibonacci/fibrab.htm...Since the monthly bit-sequences are called (finite) Fibonacci Words, the whole infinite string of which each is at the start is called the Infinite Fibonacci Word or ...
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Fibonacci Word Fractal (Fibbinary Version) - YouTube
Aug 28, 2011 - Uploaded by lucasfibonacci1This is based on a paper by Alexis Monnerot-Dumaine. The "music" is generated from the same Fibonacci ... -
Fibonacci Word Fractals for Prime Numbers - YouTube
Jan 15, 2013 - Uploaded by lucasfibonacci1Fibonacci Word Fractals for Prime Numbers ... Ancient Knowledge Pt.2 Fibonacci Sequence, Golden ... -
Fibonacci Word Fractal (Tootle while you Doodle) - YouTube
Aug 26, 2011 - Uploaded by lucasfibonacci1This is based on a paper by Alexis Monnerot-Dumaine. The subtitle is a tribute to ViHart. Her most recent ... - More videos for fibonacci word »
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Least Periods of Factors of the Fibonacci Word - CIRM
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Outline. Introduction. A (not so) Short History of the Fibonacci word. The Result and a Proof. Recent Developments. Summary. 2 ...
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Math::NumSeq::FibonacciWord - search.cpan.org
search.cpan.org › Kevin Ryde › Math-NumSeq-55Jump to Dense Fibonacci Word: Option fibonacci_word_type => "dense" selects the dense Fibonacci word 1,0,2,2,1,0,2,2,1,1,0,2,1,1,... This is the above ...
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Factorizations of Infinite Words - Institut d'électronique et d ...
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Factorizations of Infinite Words. Jean Berstel. Institut Gaspard–Monge, Université de Marne–la–Vallée and CNRS (UMR 8049). Workshop on Fibonacci Words, ...
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Math::PlanePath::FibonacciWordFractal - turns by Fibonacci word ...
https://metacpan.org/module/.../FibonacciWordFractal.pmJun 7, 2012 – This is an integer version of the Fibonacci word fractal by Alexis Monnerot-Dumaine. It makes turns controlled by by the "Fibonacci word" ...
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EUDML | Hankel determinants for the Fibonacci word and Padé ...
@article{Tamura1999, author = {Tamura, Jun-Ichi, Kamae, Teturo, Wen, Zhi-Ying}, journal = {Acta Arithmetica}, keywords = {Fibonacci word; Hankel ...
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Equivalence of Construction Methods for Sturmian Words
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by S READER - Related articles
To generate doubly infinite Fibonacci words, we can repeatedly apply the ... TheFibonacci word exhibits a number of special features which in fact apply to a ...
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Is the Fibonacci word always optimal? - CIRM
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Rencontre Ordre apériodique, CIRM, 10-14 septembre 2007. Is the Fibonacci wordalways optimal? Julien Cassaigne. Institut de mathématiques de Luminy ...
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Substitutions in Dynamics, Arithmetics and Combinatorics - Page 304 - Google Books Result
books.google.com/books?isbn=3540441417N. Pytheas Fogg, Valerie Berthé - 2002 - Mathematicsinvertible substitutions will be guided by the study of the factors of the Fibonacci word. Those factors have been studied in relation with mathematics and physics ... -
Business SOA: Fibonacci - word of the week
Sep 22, 2008 – Today I decided on the word Fibonacci to test out the theory again, this was placed into a call with the phrase "we are starting from 1 and with ...
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Properties of Fibonacci languages - ScienceDirect
by SS Yu - 2000 - Cited by 4 - Related articles
The Fibonacci language Fu,v is the set of all Fibonacci words, where the first word and the second word in the Fibonacci sequence are u and v, respectively. We.
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Avoiding sufficiently large binary patterns
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by N Rampersad - Related articles
by either the Thue–Morse word or the Fibonacci word. We give a somewhat ... ing that the Fibonacci word avoids the patterns xyyxyxxy and xyyxxyyx allows for ...
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File:Tiling Fibonacci word fractal.png - Wikipedia, the free ...
en.wikipedia.org/wiki/File:Tiling_Fibonacci_word_fractal.pngFile:Tiling Fibonacci word fractal.png. From Wikipedia, the free encyclopedia. Jump to: navigation, search. File; File history; File usage; Global file usage ...
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DBLP: Hui-Ling Ho
Wai-Fong Chuan, Fang-Yi Liao, Hui-Ling Ho, Fei Yu: Fibonacci word patterns in two-way infinite Fibonacci words. Theor. Comput. Sci. 437: 69-81 (2012) ...
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Fibonacci word check | Vault of Thoughts
Jul 3, 2011 – Fibonacci word check. We define Fibonacci words as follows: Check if a given word is a Fibonacci word in linear time. I'll give it a try in Haskell.
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Math::PlanePath::FibonacciWordFractal - search.cpan.org
search.cpan.org › Kevin Ryde › Math-PlanePath-98This is an integer version of the Fibonacci word fractal by Alexis Monnerot-Dumaine. It makes turns controlled by the "Fibonacci word" sequence, sometimes ...
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A Burden of Wonder - Department of Computer Science - University ...
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by T Strauss - Related articles
the value of m, is 60 [2]. Let us consider an extension of the Fibonacci sequence to strings. One can define the so-called. Fibonacci word by using strings instead ...
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A division property of the Fibonacci word 10.1016/0020-0190(95 ...
by A de Luca - 1995 - Cited by 17 - Related articles
Jun 23, 1995 – The Fibonacci word f is the limit sequence of the infinite sequence {fn}n ⩾ 0 of finite words inductively defined as: f0 = b, f1 = a, fn+1 = dnf−1, ...
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Double Fibonacci Word Unit And Line Unit Palindrome Poem
www.allvoices.com/.../9295475-double-fibonacci-word-unit-a...Jun 3, 2011 – ItisStar rats, Drawn onwardNo devil lived on.Blessed are they believe they are blessed.Blessed are they believe they are blessed.No devil lived ...
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Locating factors of the infinite Fibonacci word
by WF Chuan - 2005 - Cited by 8 - Related articles
Let τ = (√5 - 1)/2. Let a, b be two distinct letters. The infinite Fibonacci word is the infinite word G = babbababbabbababbababbabba... whose nth letter is a (resp.
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FIBONACCI WORDS Wai-fong Chuan 1. Introduction In this paper ...
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FIBONACCI WORDS. Wai-fong Chuan. Chung-Yuan Christian University, Chungli, Taiwan 32023, Republic of China. (Submitted March 1990). 1. Introduction ...
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Fibonacci Numbers, the Golden section and the Golden String
The golden string is also called the Infinite Fibonacci Word or the Fibonacci Rabbit sequence. There is another way to look at Fibonacci's Rabbits problem that ...
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Fibonacci word in Encyclopedia
www.tutorgigpedia.com/ed/Fibonacci_wordCharacterization by a cutting sequence with a line of slope 1/\varphi or \varphi-1, with \varphi the golden ratio. A Fibonacci word is a specific sequence of binary ...
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Eulerian pairs on Fibonacci words
arxiv.org › mathby TXS Li - 2011 - Related articles
Oct 2, 2011 – Using the inverse of $\Phi_1$ or $\Psi$ for words on $\{1, 2\}$, we obtain Eulerian pairs on Fibonacci words, where a Fibonacci word is defined ...
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SYMMETRIC FIBONACCI WORDS* - The Fibonacci Quarterly
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by W Oman - Related articles
SYMMETRIC FIBONACCI WORDS*. Wai-fong Oman. Department of Mathematica, Chung-yuan Christian University, Chung Li, Taiwan 32023, Republic of China ...
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Some Properties of the singular words of the Fibonacci ... - CiteSeerX
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by ZX WEN - Cited by 48 - Related articles
The combinatorial properties of the Fibonacci infinite word are of great interest in ...subwords of the Fibonacci word: as we shall see, the most striking of these ...
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SUFFIXES OF FIBONACCI WORD PATTERNS Wai-Foeg Chuan ...
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by WF Chuan - Cited by 4 - Related articles
SUFFIXES OF FIBONACCI WORD PATTERNS. Wai-Foeg Chuan, Chih-Hao Chang5 and Yen-Liang Chang. Department of Mathematics, Chung-yuan Christian ...
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FIBONACCI WORD PATTERNS AND BINARY SEQUENCES a= {o, i ...
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by JC TURNER - Related articles
FIBONACCI WORD PATTERNS AND BINARY SEQUENCES. J. C. TURNER. University of Waikato, Hamilton, New Zealand. (Submitted August 1986). 1.
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User:Zataxuava/Fibonacci word fractal - Wikipedia, the free ...
en.wikipedia.org/.../Fibonacci_word_fractal - Translate this pageThis curve is constructed iteratively by applying an odd-even drawing rule to theFibonacci words. For each letter in position k: trace a segment; if the letter is "0" ...
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Workshop on Fibonacci Words List of Participants
www.math.utu.fi/projects/fibonacci/wfw_participants.pdfFile Format: PDF/Adobe Acrobat - Quick View
Workshop on Fibonacci Words. List of Participants. Jean-Paul Allouche (Orsay): allouche@lri.fr. Lubomira Balkova (Prag): l.balkova@centrum.cz. Julien Bernat ...
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Key Speakers
www.math.utu.fi/projects/fibonacci/speaks.html15+ items – Workshop on Fibonacci Words. Turku, September 27 - 30, 2006 ...
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Some Properties of the singular words of the Fibonacci ... - CiteSeerX
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by ZX WEN - Cited by 48 - Related articles
The combinatorial properties of the Fibonacci in nite word are of. great interest in ...subwords of the Fibonacci word: as we shall see, the most striking of these ...
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arXiv:1212.1368v2 [cs.DM] 15 Jan 2013
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by JL Ramírez - 2012
Jan 16, 2013 – A Generalization of the Fibonacci Word Fractal and the ... squares) from the generalized Fibonacci words and we study some of their geometric ...
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6029 - Fibonacci Words - ACM-ICPC Live Archive
The Fibonacci word sequence of bit strings is defined as: F(n) = $\displaystyle \cases{0 & if $n = 0$ \cr. Here + denotes concatenation of strings. The first few ...
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Fichier:Fibonacci word fractal boundary.png - Wikipédia
fr.wikipedia.org/.../Fichier:Fibonacci_word... - Translate this pageFichier:Fibonacci word fractal boundary.png. Une page de Wikipédia, l'encyclopédie libre. Aller à : Navigation, rechercher. Fichier; Historique du fichier ...
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[1209.3927] Some extremal properties of the Fibonacci word
arxiv.org › csby A de Luca - 2012 - Related articles
Sep 18, 2012 – Abstract: We prove that the Fibonacci word $f$ satisfies among all characteristic Sturmian words, three interesting extremal properties. The first ...
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On the Entropy of Random Fibonacci Words
arxiv.org › mathby J Nilsson - 2010 - Cited by 3 - Related articles
Jan 20, 2010 – We show that the topological entropy of this object is given by the growth rate of the set of inflated random Fibonacci words.
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[1207.4233] Lyndon words and Fibonacci numbers
arxiv.org › mathby K Saari - 2012 - Related articles
Jul 17, 2012 – We show that this bound is optimal in that it is attained by theFibonacci Lyndon words. We then introduce a mapping L_x that counts the ...
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arXiv:1207.4233v2 [math.CO] 16 Nov 2012
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by K Saari - 2012 - Related articles
Nov 16, 2012 – only if Lx ≥ Lf , where f is the Fibonacci infinite word, with equality if ...Keywords: Lyndon word, Fibonacci word, Central word, Golden ratio, ...
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The number of runs in Sturmian words - mimuw
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by P Baturo - Cited by 18 - Related articles
highly compressible words extensively studied in combinatorics of words, includ- ing the well known Fibonacci words. The suffix automata for these words have ...
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The Number of Runs in Sturmian Words
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by P Baturo - Cited by 18 - Related articles
The standard words are a generalization of Fibonacci words and, like Fibonacci ... For example the recurrence for the 4-th Fibonacci word is: fib−1 = b, fib0 = a, ...
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Hankel determinants for the Fibonacci word and Pad e ...
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Hankel determinants for the Fibonacci word and Pad e approximation. Acta Arithmetica LXXXIX.2 (1999), pp.123-161. Teturo KAMAE Jun-ichi ...
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"Fibonacci Words: "Howl, Sex Orgy Poet!"" by A. Anil
digitalcommons.butler.edu › ... › Vol. 41 › Iss. 3 (2008)by A Anil - 2008
No, not a direct quote from Leonardo Fibonacci of Thirteenth Century Florence, justwords based on translating his famous number sequence into letters, with ...
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Fibonacci Words ACM ICPC 2012 Problem - Java | Dream.In.Code
www.dreamincode.net › ... › Programming Help › JavaOct 1, 2012 – Hi. I am new on this forum. I joined because I am preparing for a programming contest, and I tried to solve the fibonacci words ACM ICPC 2012 ...
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Fichier:IFS Fibonacci Word Fractal.png - Wikipédia
fr.wikipedia.org/.../Fichier:IFS_Fibonacci_... - Translate this pageFichier:IFS Fibonacci Word Fractal.png. Une page de Wikipédia, l'encyclopédie libre. Aller à : Navigation, rechercher. Fichier; Historique du fichier; Utilisation du ...
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Problem D - ACM-ICPC Live Archive
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The Fibonacci word sequence of bit strings is defined as: F(n) = . . . 0 if n = 0. 1 if n = 1. F(n − 1) + F(n − 2) if n ≥ 2. Here + denotes concatenation of strings.
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0Inparing thiS
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by AS Fraenkel - 1998 - Cited by 29 - Related articles
binary WOrd of length 刃 Can haVe' iS larger than that found in FibonacCi VVOrdS; ...vVe uSe SeVeTal lemmaS to eStabliSh The0rem l_ The Fibonacci WOrdS ...
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Optimality of some algorithms to detect maximal quasiperiodicities
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by R Groult - Related articles
optimal? 2 Maximal quasiperiodicities of the Fibonacci words. As said in [3], “Fibonacci strings turn out to constitute worst cases for a number of computer ...
Feb 22, 2013
Fibonacci Words
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