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n-Dimensional dual complex numbers
Advances in Applied Clifford Algebras, 1998The authors consider an \(n\)-dimensional generalization of the quadric algebra \(Q_{0,0}=\{z\mid z=x+qy\), \(q^2=0\), \(q\not\in {\mathbb{R}}\}= {\mathbb{R}}[x]/x^2\) of dual complex numbers. They introduce various basic algebraic and analytic notions, investigate the analyticity property and establish analogues to several classical results such as ...
Fjelstad, Paul, Gal, Sorin G.
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Investigation of Dual-Complex Fibonacci, Dual-Complex Lucas Numbers and Their Properties
Advances in Applied Clifford Algebras, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Güngör, Mehmet Ali, Azak, Ayşe Zeynep
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Dual Numbers and Topological Hjelmslev Planes
Canadian Mathematical Bulletin, 1983AbstractIn 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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Computations of Dual Numbers in the Extended Finite Dual Plane
19th Design Automation Conference: Volume 2 — Design Optimization; Geometric Modeling and Tolerance Analysis; Mechanism Synthesis and Analysis; Decomposition and Design Optimization, 1993Abstract The numerical computational aspects of dual numbers in the CH programming language are presented in this paper. Dual is a built-in data type in CH. Dual numbers and dual metanumbers are described in the extended dual plane and extended finite dual plane.
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Principles, synthesis and applications of dual Z-scheme photocatalysts
Coordination Chemistry Reviews, 2022Yunshan Liang +2 more
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Dual Numbers and "Dual Vectors" in Kinematics
2018Dominique P. Chevallier, Jean Lerbet
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Dual Emission: Classes, Mechanisms, and Conditions
Angewandte Chemie - International Edition, 2021Santosh Kumar Behera +2 more
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