Results 131 to 140 of about 9,659,868 (257)
Fibonacci anyons ε provide the simplest possible model of non-Abelian fusion rules: [1] × [1] = [0] ⊕ [1]. We propose a conformal field theory construction of topological quantum registers based on Fibonacci anyons realized as quasiparticle excitations ...
Ludmil Hadjiivanov, Lachezar S. Georgiev
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On a subclass of bi-univalent functions related to shell-like curves connected with Fibonacci number
Jenifer Arulmani
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Generalized Natural Density $\DF(\mathfrak{F}_n)$ of Fibonacci Word [PDF]
This paper explores profound generalizations of the Fibonacci sequence, delving into random Fibonacci sequences, $k$-Fibonacci words, and their combinatorial properties. We established that the $n$-th root of the absolute value of terms in a random Fibonacci sequence converges to $1.13198824\ldots$, a symmetry identity for sums involving Fibonacci ...
arxiv
Turán Graphs, Stability Number, and Fibonacci Index [PDF]
Véronique Bruyère, Hadrien Mélot
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On the generalized Gaussian Fibonacci numbers
Many authors define certain generalizations of the usual Fibonacci, Pell and Lucas numbers by matrix methods and then obtain the Binet formulas and combinatorial representations of the generalizations of these number sequence. In this article firstly we define and study the generalized Gaussian Fibonacci numbers and then find the matrix representation ...
Lee, G.Y., Aşçı, Mustafa
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Fibonacci Decimal Number Patterns Via the Generating Function
Russell Euler
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Initial number of Lucas’ type series for the generalized Fibonacci sequence
Siniša Crvenković+3 more
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The role of spreadsheets in an investigation of Fibonacci Numbers
We introduce a function Z(k) which measures the number of distinct ways in which a number can be expressed as the sum of Fibonacci numbers. Using a binary table and other devices, we explore the values that Z(k) can take and reveal a surprising ...
John E Baker, Steve Sugden
doaj
s-th power of Fibonacci number of the form 2^a + 3^b + 5^c [PDF]
Nurettin Irmak, Bo He
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