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Elliptic complex numbers with dual multiplication
Applied Mathematics and Computation, 2010Abstract Investigated is a number system in which the square of a basis number: (w)2, and the square of its additive inverse: (−w)2, are not equal. Termed W space, a vector space over the reals, this number system will be introduced by restating defining relations for complex space C , then changing a defining conjugacy relation from conj(z) +
John A. Shuster, Jens Köplinger
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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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Dual quaternion theory over HGC numbers
Journal of Discrete Mathematical Sciences & CryptographyKnowing 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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Martin's Axiom and the Dual Distributivity Number
MLQ, 2000We show that it is consistent that Martin's axiom holds, the continuum is large, and yet the dual distributivity number ℌ is κ1. This answers a question of Halbeisen.
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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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On the Dual Hyperbolic Numbers and the Complex Hyperbolic Numbers
Journal of Computer Science & Computational Mathematics, 2018Şahin, Serdal+2 more
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Recent progress in the treatment of cancer in children
Ca-A Cancer Journal for Clinicians, 2021Theodore W Laetsch
exaly