Results 11 to 20 of about 369,263 (302)
AIMS Mathematics, 2023 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.
Adnan Karataş
doaj +3 more sources
Dual-Gaussian Pell and Pell-Lucas numbers
Cumhuriyet Science Journal, 2022 In this study, we define a new type of Pell and Pell-Lucas numbers which are called dual-Gaussian Pell and dual-Gaussian Pell-Lucas numbers. We also give the relationship between negadual-Gaussian Pell and Pell-Lucas numbers and dual-complex Pell
Hasan Gökbaş
doaj +2 more sources
Dual Numbers and Operational Umbral Methods [PDF]
Axioms, 2019 Dual numbers and their higher-order version are important tools for numerical computations, and in particular for finite difference calculus. Based on the relevant algebraic rules and matrix realizations of dual numbers, we present a novel point of view,
Nicolas Behr +3 more
doaj +3 more sources
Affine root systems and dual numbers [PDF]
Nuclear Physics B - Proceedings Supplements, 2001 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
I. V. Kostyakov +2 more
openalex +4 more sources
Two generalizations of dual-complex Lucas-balancing numbers [PDF]
Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2022 The purpose of this paper is to provide a broad overview of thegeneralization of the various dual-complex number sequences, especially inthe disciplines of mathematics and physics. By the help of dual numbers and dual-complex numbers, in this paper, we define the dual-complex generalized k-Horadam numbers.
Dorota Bród +2 more
openalex +7 more sources
On tertions and dual numbers [PDF]
Notes on Number Theory and Discrete MathematicsIn a previous author's paper [1], the mathematical object called "tertion" was discussed. Some operations over tertions were introduced and their properties were studied. There, it was showed that the complex numbers and quaternions can be represented by
Krassimir T. Atanassov
doaj +2 more sources
, 2022 New setting is introduced to study “closing numbers” and “super-closing numbers” as optimal-super-resolving number, optimal-super-coloring number and optimal-super-dominating number. In this way, some approaches are applied to get some sets from (Neutrosophic)n-SuperHyperGraph and after that, some ideas are applied to get different types of super ...
Henry Garrett
+5 more sources
Representations of quivers over the algebra of dual numbers [PDF]
Journal of Algebra, 2011 This is a slightly revised version. The paper now includes a proof that H yields a chomological functor from the stable category of \Cal L to mod kQ, see section 2 ...
Claus Michael Ringel, Pu Zhang
openalex +5 more sources
On the Dual Symbolic 2-Plithogenic Numbers [PDF]
Neutrosophic Sets and Systems, 2023 The objective of this paper is to combine dual numbers with symbolic 2-plithogenic numbers in one algebraic structure called dual symbolic 2-plithogenic real numbers.
Khadija Ben Othman +2 more
doaj +2 more sources
A Study on Dual Hyperbolic Fibonacci and Lucas Numbers
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019 In this study, the dual-hyperbolic Fibonacci and dual-hyperbolic Lucas numbers are introduced. Then, the fundamental identities are proven for these numbers.
Cihan Arzu +3 more
doaj +5 more sources