Results 21 to 30 of about 104,771 (272)

Severi-Bouligand tangents, Frenet frames and Riesz spaces [PDF]

open access: yes, 2014
It was recently proved that a compact set $X\subseteq \mathbb R^2$ has an outgoing Severi-Bouligand tangent vector $u\not=0$ at $x\in X$ iff some principal ideal of the Riesz space $\mathcal R(X)$ of piecewise linear functions on $X$ is not an ...
Cabrer, Leonardo Manuel   +1 more
core   +3 more sources

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

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

On Leonardo p-numbers

open access: yes, 2023
In this paper, we introduce a new generalization of Leonardo numbers, which are so-called Leonardo $p$-numbers. We investigate some basic properties of these numbers. We also define incomplete Leonardo $p$-numbers which generalize the incomplete Leonardo numbers.
Tan, Elif, Leung, Ho-Hun
openaire   +1 more source

On complex Leonardo numbers

open access: yesNotes on Number Theory and Discrete Mathematics, 2022
In this study, we introduce the complex Leonardo numbers and give some of their properties including Binet formula, generating function, Cassini and d’Ocagne’s identities. Also, we calculate summation formulas for complex Leonardo numbers involving complex Fibonacci and Lucas numbers.
openaire   +3 more sources

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

open access: yesJournal of Function Spaces, 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.
Taja Yaying   +3 more
doaj   +1 more source

Dynamical analysis of the M-ℂomplex Lorenz system and its anti-synchronization via M-Sliding mode control

open access: yesResults in Physics, 2022
This work deals with a numerical analysis of a Complex Lorenz system generalized by the truncated M-derivative (M-ℂLM). First, we carry out 10000 random simulations based on the Monte Carlo principle and the 0–1 test with the chaos decision tree to show ...
J.E. Solís-Pérez   +3 more
doaj   +1 more source

Hybrinomials related to hyper-Leonardo numbers

open access: yesCommunications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2023
In this paper, we define hybrinomials related to hyper-Leonardo numbers. We study some of their properties such as the recurrence relation and summation formulas. In addition, we introduce hybrid hyper Leonardo numbers.
Efruz Özlem MERSİN, Mustafa BAHŞİ
openaire   +3 more sources

Ireland [PDF]

open access: yes, 2004
This report will focuses on the current innovations and the future development of the practices and approaches to the assessment of learning in the area of work-based Vocational Education & Training in Ireland.
Lalor, John   +2 more
core   +1 more source

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

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