Results 1 to 10 of about 776,177 (227)
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 +6 more sources
Calculus on Dual Real Numbers [PDF]
arXiv, 2018 We present the basic theory of calculus on dual real numbers, and prove the counterpart of the ordinary fundamental theorem of calculus in the context of dual real numbers.
Liu Ke-qin
arxiv +5 more sources
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
On a new one-parameter generalization of dual-complex Jacobsthal numbers [PDF]
Acta Universitatis Sapientiae: Mathematica, 2021 In this paper we define dual-complex numbers with generalized Jacobsthal coefficients. We introduce one-parameter generalization of dual-complex Jacobsthal numbers - dual-complex r-Jacobsthal numbers.
Bród Dorota +2 more
doaj +2 more sources
Two generalizations of dual-complex Lucas-balancing numbers [PDF]
Acta Universitatis Sapientiae: Mathematica, 2022 In this paper, we study two generalizations of dual-complex Lucas-balancing numbers: dual-complex k-Lucas balancing numbers and dual-complex k-Lucas-balancing numbers.
Bród Dorota +2 more
doaj +2 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 +3 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 ...
Henry Garrett
+6 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
Radix form in hyperbolic and dual numbers [PDF]
arXiv, 2022 We investigate number systems for the ring of integers of hyperbolic and dual numbers. We characterize all canonical number systems providing radix form for hyperbolic and dual numbers. Our approach allows us to get suitable bases by means of Banach lattice algebra structure.
arxiv +3 more sources
Duals of Bernoulli Numbers and Polynomials and Euler Number and Polynomials [PDF]
arXiv, 2015 A sequence inverse relationship can be defined by a pair of infinite inverse matrices. If the pair of matrices are the same, they define a dual relationship. Here presented is a unified approach to construct dual relationships via pseudo-involution of Riordan arrays.
Zheng, Jinze +1 more
arxiv +3 more sources