Results 11 to 20 of about 5,138 (192)

On New Banach Sequence Spaces Involving Leonardo Numbers and the Associated Mapping Ideal

open access: yesJournal of Function Spaces, Volume 2022, Issue 1, 2022., 2022
In the present study, we have constructed new Banach sequence spaces ℓpL,c0L,cL, and ℓ∞L, where L=lv,k is a regular matrix defined by lv,k=lk/lv+2−v+2, 0≤k≤v,0, k>v, for all v, k = 0, 1, 2, ⋯, where l=lk is a sequence of Leonardo numbers. We study their topological and inclusion relations and construct Schauder bases of the sequence spaces ℓpL,c0L, and
Taja Yaying   +4 more
wiley   +1 more source

The Life and Works of Luca Pacioli (1446/7–1517), Humanist Educator

open access: yesAbacus, Volume 57, Issue 1, Page 126-152, March 2021., 2021
Accounting has few heroes, but one that most acknowledge as worthy of that accolade is Luca Pacioli, the man who published the first printed exposition of double entry bookkeeping in 1494. This was the publication that led to the development of the accounting systems we use today. However, if we consider our literature on Pacioli, it is found to be not
Alan Sangster
wiley   +1 more source

A generalização dos sedenios de Leonardo e Narayana

open access: yesCQD Revista Eletrônica Paulista de Matemática, 2022
Assim como ocorre para a sequência de Fibonacci, tem-se o processo de complexificação da sequência de Leonardo e Narayana, outras duas sequências não muito conhecidas na literatura Matemática. Desse modo, este trabalho apresenta de forma introdutória os
Renata Passos Machado Vieira   +2 more
doaj   +1 more source

Nucleotide Frequencies in Human Genome and Fibonacci Numbers [PDF]

open access: yes, 2006
This work presents a mathematical model that establishes an interesting connection between nucleotide frequencies in human single-stranded DNA and the famous Fibonacci's numbers. The model relies on two assumptions.
A. Dress   +14 more
core   +2 more sources

Non-Fisherian generalized Fibonacci numbers [PDF]

open access: yesNotes on Number Theory and Discrete Mathematics
Using biology as inspiration, this paper explores a generalization of the Fibonacci sequence that involves gender biased sexual reproduction. The female, male, and total population numbers along with their associated recurrence relations are considered ...
Thor Martinsen
doaj   +1 more source

Bivariate Leonardo polynomials and Riordan arrays [PDF]

open access: yesNotes on Number Theory and Discrete Mathematics
In this paper, bivariate Leonardo polynomials are defined, which are closely related to bivariate Fibonacci polynomials. Bivariate Leonardo polynomials are generalizations of the Leonardo polynomials and Leonardo numbers.
Yasemin Alp, E. Gökçen Koçer
doaj   +1 more source

A Tale of Two Tilings [PDF]

open access: yes, 2008
What do you get when you cross a crystal with a quasicrystal? The surprising answer stretches from Fibonacci to Kepler, who nearly 400 years ago showed how the ancient tiles of Archimedes form periodic patterns.Comment: 3 pages, 1 ...
Aaron S. Keys   +10 more
core   +2 more sources

On some identities for the DGC Leonardo sequence [PDF]

open access: yesNotes on Number Theory and Discrete Mathematics
In this study, we examine the Leonardo sequence with dual-generalized complex (DGC) coefficients for 𝔭∈ℝ. Firstly, we express some summation formulas related to the DGC Fibonacci, DGC Lucas, and DGC Leonardo sequences.
Çiğdem Zeynep Yılmaz   +1 more
doaj   +1 more source

Generalized Bronze Leonardo sequence [PDF]

open access: yesNotes on Number Theory and Discrete Mathematics
In this study, we define the Bronze Leonardo, Bronze Leonardo–Lucas, and Modified Bronze Leonardo sequences, and some terms of these sequences are given. Then, we give special summation formulas, special generating functions, etc.
Engin Özkan, Hakan Akkuş
doaj   +1 more source

Pseudomorphic Growth of a Single Element Quasiperiodic Ultrathin Film on a Quasicrystal Substrate [PDF]

open access: yes, 2004
An ultrathin film with a periodic interlayer spacing was grown by the deposition of Cu atoms on thefivefold surface of the icosahedral Al70 Pd21 Mn9 quasicrystal.
A. R. Ross   +13 more
core   +3 more sources

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