Results 291 to 300 of about 4,249,593 (344)

Dual quaternion theory over HGC numbers

Journal of Discrete Mathematical Sciences & Cryptography
Knowing the applications of quaternions in various fields, such as robotics, navigation, computer visualization and animation, in this study, we give the theory of dual quaternions considering Hyperbolic-Generalized Complex (HGC)  numbers as coefficients via generalized complex and hyperbolic numbers.
Gürses, Nurten, Saçlı, Gülsüm Yeliz
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Dual Numbers and Topological Hjelmslev Planes

Canadian Mathematical Bulletin, 1983
AbstractIn 1929 J. Hjelmslev introduced a geometry over the dual numbers ℝ+tℝ with t2 = Q. The dual numbers form a Hjelmslev ring, that is a local ring whose (unique) maximal ideal is equal to the set of 2 sided zero divisors and whose ideals are totally ordered by inclusion.
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Solving Three Systems of Functional Equations Associated with Complex, Double, and Dual Numbers

Russian Mathematics (Izvestiya VUZ. Matematika), 2023
V. A. Kyrov, G. G. Mikhaîlichenko
semanticscholar   +1 more source

Optimization of Perturbed Spacecraft Trajectories Using Complex Dual Numbers. Part 1: Theory and Method

Cosmic research, 2021
V. Petukhov, Sung-wook Yoon
semanticscholar   +1 more source

Optimization of Perturbed Spacecraft Trajectories Using Complex Dual Numbers. Part 2: Numerical Results

Cosmic research, 2021
V. Petukhov, Sung-wook Yoon
semanticscholar   +1 more source

A study on the computational effort of hyper-dual numbers to evaluate derivatives in geometrically nonlinear hyperelastic trusses

, 2021
Vitor Takashi Endo, E. Fancello, P. Muñoz-Rojas   +2 more
semanticscholar   +1 more source

Coxeter and dual coxeter numbers

Communications in Algebra, 1998
(1998). Coxeter and dual coxeter numbers. Communications in Algebra: Vol. 26, No. 1, pp. 147-153.
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GAUSSIAN DUAL FIBONACCI NUMBERS

2018
In this paper, firstly we defined Gaussian dual number and Gaussian dual Fibonacci numbers later, we obtained two-dimensional recurrence relations and some results regarding Gaussian dual Fibonacci numbers. It is the purpose of this paper to add to the literature of properties and identities relating to Gaussian dual Fibonacci sequence and generalized ...
Aydin, Fugen Torunbalci, YÜCE, Salim
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Dual numbers and supersymmetric mechanics

Czechoslovak Journal of Physics, 2005
We show that dual numbers, apart from the known practical applications to the description of a rigid body movements in three dimensional space and natural presence in abstract differential algebra, play a role in field theory and are related to supersymmetry as well. Relevant models are considered.
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Dual Numbers and Automatic Differentiation to Efficiently Compute Velocities and Accelerations

Acta Applicandae Mathematicae - An International Survey Journal on Applying Mathematics and Mathematical Applications, 2020
F. Peñuñuri, R. Peon, D. González-Sánchez, M. Escalante Soberanis   +3 more
semanticscholar   +1 more source