Results 21 to 30 of about 105,046 (265)
GAUSSIAN LEONARDO POLYNOMIALS AND APPLICATIONS OF LEONARDO NUMBERS TO CODING THEORY
Journal of Science and Arts, 2023 In this paper, we firstly introduce the Gaussian Leonardo polynomial sequences {GLe_n (x)}_(n=0)^∞ and we obtain Binet's formula, generating function of this sequence. Moreover, we define the matrix Gl(x) in the form of 3 x 3. Finally, we study on the coding and decoding applications of the Leonardo number by using the Leonardo matrix P.
SELİME BEYZA ÖZÇEVİK +1 more
openaire +1 more source
, 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
Bivariate Leonardo polynomials and Riordan arrays [PDF]
Notes on Number Theory and Discrete MathematicsIn 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
Notes 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
The symbolic model for algebra : functions and mechanisms [PDF]
, 2010 The symbolic mode of reasoning in algebra, as it emerged during the sixteenth century, can be considered as a form of model-based reasoning. In this paper we will discuss the functions and mechanisms of this model and show how the model relates to its ...
A. Heeffer +6 more
core +2 more sources
, 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
Regulation of arginine transport by GCN2 eIF2 kinase is important for replication of the intracellular parasite Toxoplasma gondii [PDF]
, 2019 Toxoplasma gondii is a prevalent protozoan parasite that can infect any nucleated cell but cannot replicate outside of its host cell. Toxoplasma is auxotrophic for several nutrients including arginine, tryptophan, and purines, which it must acquire from ...
Amin, Parth H. +3 more
core +2 more sources
On New Banach Sequence Spaces Involving Leonardo Numbers and the Associated Mapping Ideal
Journal 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
Results 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
Communications 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