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Martin's Axiom and the Dual Distributivity Number
MLQ, 2000Let \(\kappa\) be a regular uncountable cardinal. The author proves the consistency of: MA holds, \(\mathfrak c = \kappa\) and \(\mathfrak H = \omega_1\). \(\mathfrak H\) is the dual distributivity number, (i.e., dual to \(\mathfrak h\)) defined by the following string of definitions: Let \(X, Y\) be partitions of \(\omega\).
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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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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.
Sakarya Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü +4 more
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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, 2022Zhibin Wu, Longbo Jiang, Pufeng Qin
exaly
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, 2021Johannes Gierschner +2 more
exaly