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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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Dual Numbers and Automatic Differentiation to Efficiently Compute Velocities and Accelerations
Acta Applicandae Mathematicae - An International Survey Journal on Applying Mathematics and Mathematical Applications, 2020F. Peñuñuri +3 more
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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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