Results 81 to 90 of about 5,083 (199)

Fibonacci's Liber Abbaci and "the origin of things" of Maria Montessori

open access: yesRivista di Storia dell'Educazione
This article discusses some aspects of the arithmetic of Fibonacci's Liber Abbaci and the related pedagogical idea of the Pisan mathematician, described in the Prologue of the work and which can be seen from reading the text.
Silvia Cerasaro   +2 more
doaj   +1 more source

Sobre o modelo de Fibonacci na variável complexa: identidades generalizadas

open access: yesCQD Revista Eletrônica Paulista de Matemática, 2017
A sequência emblemática relacionada com o problema da reprodução de pares de coelhos, propugnado por Leonardo Pisano, em 1202, se tornou, passados alguns séculos, o objeto de estudo e pesquisa em determinados ramos particulares da Matemática, sobretudo ...
Francisco Regis Vieira Alves   +1 more
doaj  

Some infinite series summations involving linear recurrence relations of order 2 and 3 [PDF]

open access: yesNotes on Number Theory and Discrete Mathematics
This paper extends known results of second and third order recursive sequences through extensive formulations of properties of the roots of their characteristic equations, some are old but most are new. They are applied to novel studies of Σₙ₌ₒ^∞ aₘₙ/10ⁿ⁺
Anthony G. Shannon   +4 more
doaj   +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  

Tri–Periodic Fibonacci Numbers and Tri–Periodic Leonardo Numbers

open access: yes
In this study, we explore the properties of tri-periodic Fibonacci and tri-periodic Leonardo number sequences. Then we derive generating function of these sequences and give Binet's formula for the tri-periodic Fibonacci sequence. Furthermore, we present Cassani's identity associated with tri-periodic Fibonacci sequnce.
Bahadır Yılmaz, Yüksel Soykan
openaire   +1 more source

PERKEMBANGAN MATEMATIKA EROPA ABAD 13-16 : KONTRIBUSI LEONARDO FIBONACCI DALAM MEMPERKENALKAN KONSEP MATEMATIKA

open access: yesEuclid
Matematika telah ada sejak zaman dahulu dan selalu mengalami perkembangan. Pada abad 13, matematika mengalami perkembangan di eropa terutama sejak diperkenalkannya sistem angka Hindu-Arab serta konsep-konsep lainnya oleh Leonardo Fibonacci dalam bukunya Liber Abaci, Eropa mengalami perubahan besar dalam cara mengolah dan memahami matematika.
Sarah Fadiya, null Yulyanti Harisman
openaire   +1 more source

A promising approach using Fibonacci sequence-based optimization algorithms and advanced computing. [PDF]

open access: yesSci Rep, 2023
Tran-Ngoc H   +5 more
europepmc   +1 more source

Cultural regeneration through urban design in Algeria. The case of Leonardo Fibonacci’s promenade in Bejaia

open access: yesE3S Web of Conferences
Sustainable urban development requires the use of all available means, given the increasing competitive status of cities. Cultural regeneration is a widely used tool for urban development. This culture, which can be expressed in a multitude of ways, frequently necessitates physical places for its practice, in spite of the virtual advantages. The public
Mouhoubi Nedjima, Bakour Amira Kahina
openaire   +2 more sources

A Note on the Fuzzy Leonardo Numbers

open access: yesTransactions on Fuzzy Sets and Systems
In this work, we define a new sequence denominated by fuzzy Leonardo numbers. Some algebraic properties of this new sequence are studied and several identities are established.
Elen Viviani Pereira Spreafico   +2 more
doaj  

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