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Dual Leonardo numbers

open access: yesAIMS Mathematics, 2023
<abstract><p>This paper introduced the concept of dual Leonardo numbers to generalize the earlier studies in harmony and establish key formulas, including the Binet formula and the generating function. Both were employed to obtain specific elements from the sequence. Moreover, we presented a range of identities that provided deeper insights
openaire   +3 more sources

Dual Hesitant q-Rung Orthopair Fuzzy Interaction Partitioned Bonferroni Mean Operators and Their Applications

open access: yesJournal of Mathematics, 2023
The purpose of this paper is to introduce interaction partitioned Bonferroni mean operators under dual hesitant q-rung orthopair fuzzy environment. Motivated by the idea of q-rung orthopair fuzzy interaction operational laws, partitioned Bonferroni mean,
Lu Zhang, Yabin Shao, Ning Wang
doaj   +1 more source

The dual of number sequences, Riordan polynomials, and Sheffer polynomials

open access: yesSpecial Matrices, 2021
In this paper we introduce different families of numerical and polynomial sequences by using Riordan pseudo involutions and Sheffer polynomial sequences.
He Tian-Xiao, Ramírez José L.
doaj   +1 more source

Targeting Candida albicans in dual-species biofilms with antifungal treatment reduces Staphylococcus aureus and MRSA in vitro.

open access: yesPLoS ONE, 2021
Polymicrobial biofilms consisting of fungi and bacteria are frequently formed on endotracheal tubes and may contribute to development of ventilator associated pneumonia (VAP) in critically ill patients.
Yu Luo   +5 more
doaj   +1 more source

Dual of bass numbers and dualizing modules [PDF]

open access: yesCommunications in Algebra, 2016
Let $R$ be a Noetherian ring and let $C$ be a semidualizing $R$-module. In this paper, by using relative homological dimensions with respect to $C$, we impose various conditions on $C$ to be dualizing. First, we show that $C$ is dualizing if and only if there exists a Cohen-Macaulay $R$-module of type 1 and of finite G$ _C $-dimension.
Rahmani, M., Taherizadeh, A. -J.
openaire   +2 more sources

Hyper-Dual Leonardo Quaternions

open access: yesJournal of New Theory
In this paper, hyper-dual Leonardo quaternions are defined and studied. Some basic properties of the hyper-dual Leonardo quaternions, including their relationships with the hyper-dual Fibonacci quaternions and hyper-dual Lucas quaternions, are analyzed ...
Tülay Yağmur
doaj   +1 more source

A new approach to hyper dual numbers with tribonacci and tribonacci-Lucas numbers and their generalized summation formulas

open access: yesJournal of Innovative Applied Mathematics and Computational Sciences
Motivated by the definition of Tribonacci quaternions, we define hyper-dual numbers whose components involve Tribonacci and Tribonacci-Lucas numbers. We refer to these new numbers as hyper-dual Tribonacci numbers and hyper-dual Tribonacci-Lucas numbers,
Ahmad Ali Mehrad, Mansoor Kakar Mirwais
doaj   +1 more source

Smooth affine group schemes over the dual numbers [PDF]

open access: yesÉpijournal de Géométrie Algébrique, 2019
We provide an equivalence between the category of affine, smooth group schemes over the ring of generalized dual numbers $k[I]$, and the category of extensions of the form $1 \to \text{Lie}(G, I) \to E \to G \to 1$ where G is an affine, smooth group ...
Matthieu ROMAGNY, Dajano Tossici
doaj   +1 more source

Generalization of dual numbers and dual Euclidean 3-Space

open access: yesTurkish Journal of Mathematics
In this study, we consider the generalized dual numbers and determine their algebraic and geometric properties. Then we generalize the well-known D3 module and introduce the generalized dual Euclidean 3-space with its scalar product and norm. After determining the conditions for being a unit generalized dual Euclidean vector, we derive the generalized ...
Soylu, Şükran Duygu   +2 more
openaire   +1 more source

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