Results 51 to 60 of about 4,452,319 (321)
Hyper-Dual Leonardo Quaternions
Journal of New TheoryIn 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 note on dual third order Jacobsthal vectors [PDF]
, 2017 Dual third order Jacobsthal and dual third order Jacobsthal-Lucas numbers are defined. In this study, we work on these dual numbers and we obtain the properties e.g. some quadratic identities, summation, norm, negadual third order Jacobsthal identities, Binet formulas and relations of them.
arxiv +1 more source
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
K. Atanassov
semanticscholar +1 more source
Self-Dual Conformal Supergravity and the Hamiltonian Formulation
, 2000 In terms of Dirac matrices the self-dual and anti-self-dual decomposition of a conformal supergravity is given and a self-dual conformal supergravity theory is developed as a connection dynamic theory in which the basic dynamic variabes include the self ...
A. Ashtekar +23 more
core +1 more source
Structure of Thin Irreducible Modules of a Q-polynomial Distance-Regular Graph [PDF]
, 2010 Let Gamma be a Q-polynomial distance-regular graph with vertex set X, diameter D geq 3 and adjacency matrix A. Fix x in X and let A*=A*(x) be the corresponding dual adjacency matrix. Recall that the Terwilliger algebra T=T(x) is the subalgebra of Mat_X(C)
Cerzo, Diana R.
core +2 more sources
Smooth affine group schemes over the dual numbers [PDF]
Épijournal 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
Dual Number Matrices with Primitive and Irreducible Nonnegative Standard Parts [PDF]
arXiv, 2023 In this paper, we extend the Perron-Frobenius theory to dual number matrices with primitive and irreducible nonnegative standard parts. One motivation of our research is to consider probabilities as well as perturbation, or error bounds, or variances, in the Markov chain process.
arxiv
Dual Quaternions and Dual Quaternion Vectors [PDF]
arXiv, 2021 We introduce a total order and the absolute value function for dual numbers. The absolute value function of dual numbers are with dual number values, and have properties similar to the properties of the absolute value function of real numbers. We define the magnitude of a dual quaternion, as a dual number.
arxiv
Some applications in classical mechanics of the double and the dual numbers
Revista mexicana de física E, 2019 We give some examples of the application in classical mechanics of the double and the dual numbers, which are analogous to the complex numbers.
G. F. Torres del Castillo
semanticscholar +1 more source
Some properties and Vajda theorems of split dual Fibonacci and split dual Lucas octonions
AIMS Mathematics, 2022 In this paper, we introduce split dual Fibonacci and split dual Lucas octonions over the algebra $ \widetilde{\widetilde{O}}\left(a, b, c\right) $, where $ a, b $ and $ c $ are real numbers. We obtain Binet formulas for these octonions.
Ümit Tokeşer +2 more
doaj +1 more source