Results 41 to 50 of about 1,974 (119)

On perfect powers that are sums of two Fibonacci numbers

open access: yes, 2017
We study the equation $F_n + F_m = y^p$, where $F_n$ and $F_m$ are respectively the $n$-th and $m$-th Fibonacci numbers and $p \ge 2$.
Luca, Florian, Patel, Vandita
core   +1 more source

A Matemática na Natureza [PDF]

open access: yes, 2014
[...]. Fibonacci destacou-se ao escrever o livro Liber Abaci, em 1202, a primeira obra importante sobre matemática desde Eratóstenes. Neste seu livro, Fibonacci coloca um problema, a partir da observação do crescimento de uma população de coelhos: "num ...
Martins, Maria do Carmo
core  

Mathématiques en Méditerranée : Réflexions autour de deux itinéraires [PDF]

open access: yes, 2016
International audienceEnglish (French below) In this contribution, we propose two historical studies on mathematics in Mediterranean Countries. In the introduction, first of all, we intend to place our purpose at a right level precising our willingness ...
Abdeljaouad, Mahdi   +2 more
core   +2 more sources

On the examples of Egyptian fractions in Liber Abaci

open access: yes
The focus of this note is to formulate the algorithms and give the examples used by Fibonacci in Liber Abaci to expand any fraction into a sum of unit fractions. The description in Liber Abaci is all verbal and the examples are numbers which may lead to different algorithmic descriptions with the same input and results.
Steihaug, Trond, Gardner, Milo
openaire   +2 more sources

Fibonacci Hierarchies for Decision Making [PDF]

open access: yes
All decisions are practically made within a chainwise social setup named a decision-making chain (DMC). This paper considers some cases of an idea (a project proposal) propagating through an organizational DMC.
Tokel, Emre, Yucel, Eray
core   +1 more source

On the lexicographic representation of numbers

open access: yes, 2015
It is proven that, contrarily to the common belief, the notion of zero is not necessary for having positional representations of numbers. Namely, for any positive integer $k$, a positional representation with the symbols for $1, 2, \ldots, k$ is given ...
Manca, Vincenzo
core  

On the adjoint representation of $\mathfrak{sl}_n$ and the Fibonacci numbers

open access: yes, 2011
We decompose the adjoint representation of $\mathfrak{sl}_{r+1}=\mathfrak {sl}_{r+1}(\mathbb C)$ by a purely combinatorial approach based on the introduction of a certain subset of the Weyl group called the \emph{Weyl alternation set} associated to a ...
Harris, Pamela E.
core   +1 more source

Number Phi [PDF]

open access: yes, 2014
Fibonacci is one of the most famous names in mathematics. This would come as a surprise to Leonardo Pisano, the mathematician we now know by that name. And he might have been equally surprised that he has been immortalised in the famous sequence – 0, 1 ...
Taran, A.
core  

The art of painting chromosome loops. [PDF]

open access: yesQuant Plant Biol, 2023
Berr A, Chabouté ME.
europepmc   +1 more source

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