Results 101 to 110 of about 8,614,926 (216)

Fast Algorithms of Fibonacci number and Lucas number [PDF]

open access: yes, 2009
Recursive calculation formulae of Fibonacci series or Lucas series can be rewritten into algebraic forms of matrices and vectors.
4674   +4 more
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Fibonacci Cartan and Lucas Cartan numbers

open access: yesOpen Mathematics
This study introduces Fibonacci Cartan and Lucas Cartan numbers, extending the classical Fibonacci and Lucas sequences into the framework of Cartan numbers.
Öztürk İskender, Çakır Hasan
doaj   +1 more source

Fun with Fibonacci [PDF]

open access: yes, 2014
We introduce a function 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 can take and reveal some interesting patterns.
John E Baker, Steve Sugden
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Linear regression with Fibonacci-derived polynomials for temperature prediction model

open access: yesDiscover Data
This research work explores the integration of Fibonacci-derived polynomial and linear equations from Fibonacci numbers into a machine learning framework for predictive modeling of environmental datasets, such as wind speed, temperature, and humidity ...
Ahmed O. Ameen, Johnson O. Fashanu
doaj   +1 more source

$$h$$ h -analogue of Fibonacci numbers

open access: yesThe Ramanujan Journal, 2014
21 pages, No ...
openaire   +3 more sources

Closed formulas for finite sums of weighted fractional generalized fibonacci products [PDF]

open access: yes, 2018
© 2018 Fibonacci Association. All rights reserved. In this paper, we present closed formulas for finite sums of fractions involving weighted products of generalized Fibonacci numbers. There are two significant features that characterize the main results.
Melham, RS
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Braiding Fibonacci anyons

open access: yesJournal of High Energy Physics
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
doaj   +1 more source

On the number of complex horadam sequences with a fixed period

open access: yes, 2013
The Horadam sequence is a direct generalization of the Fibonacci numbers in the complex plane, depending on a family of four complex parameters: two recurrence coefficients and two initial conditions.
Larcombe, Peter J., Bagdasar, Ovidiu
core  

When is a number Fibonacci?

open access: yes, 2009
This article looks into the importance of the Fibonacci numbers within Computer Science, commenting on how to compute a Fibonacci number. It introduces an efficient test as to whether or not a number is Fibonacci, and proves the correctness of this test.
Phillip James
core  

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