Results 281 to 290 of about 3,084,967 (323)

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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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‐numbered Hopfield neural networks

IEEJ Transactions on Electrical and Electronic Engineering, 2017
In recent years, Hopfield neural networks using Clifford algebra have been studied. Clifford algebra is also referred to as geometric algebra, and is useful to deal with geometric objects. There are three kinds of Clifford algebra with degree 2; complex, hyperbolic, and dual‐numbered.
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Dual Numbers

2017
Felix Mora-Camino, Carlos Alberto Nunes Cosenza   +1 more
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Fuzzy Dual Numbers

2017
Felix Mora-Camino, Carlos Alberto Nunes Cosenza   +1 more
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Cancer treatment and survivorship statistics, 2022

Ca-A Cancer Journal for Clinicians, 2022
Kimberly D Miller, Leticia M Nogueira, Angela B Mariotto   +2 more
exaly  

Basics: Number Systems, Dual Numbers and Codes

2022
Hans-Joachim Adam, Mathias Adam
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