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The apeirogon and dual numbers
Symmetry: Culture and Science, 2021Abstract: The richness, diversity, connection, depth and pleasure of studying symmetry continue to open doors. Here we report a connection between Coxeter's Apeirogon and the geometry associated with pictorial space, parabolic rotation and dual numbers.
Johan Gielis, Simone Brasili
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2017
In this chapter we introduce a special class of dual numbers, fuzzy dual numbers representative of symmetrical fuzzy numbers.
Mora-Camino, Felix +1 more
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In this chapter we introduce a special class of dual numbers, fuzzy dual numbers representative of symmetrical fuzzy numbers.
Mora-Camino, Felix +1 more
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Computations of Dual Numbers in the Extended Finite Dual Plane [PDF]
19th Design Automation Conference: Volume 2 — Design Optimization; Geometric Modeling and Tolerance Analysis; Mechanism Synthesis and Analysis; Decomposition and Design Optimization, 1993 Abstract 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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Subdiagrams equal in number to their duals
Algebra Universalis, 1986In the middle 1930's, the early days of combinatorial lattice theory, it had been conjectured thatin any finite modular lattice the number of join-irreducible elements equals the number of meetirreducible elements. The conjecture was settled in 1954 by R. P. Dilworth in a remarkable combinatorial generalization.
Ivan Rival +3 more
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Investigation of Dual-Complex Fibonacci, Dual-Complex Lucas Numbers and Their Properties [PDF]
Advances in Applied Clifford Algebras, 2017 In this study, we define the dual complex Fibonacci and Lucas numbers. We give the generating functions and Binet formulas for these numbers. Moreover, the well-known properties e.g. Cassini and Catalan identities have been obtained for these numbers.
Güngör, Mehmet Ali, Azak, Ayşe Zeynep
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