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Dual field magnetic separation for improved size fractionation of magnetic nanoparticles.

Nanoscale
Wolfschwenger M, Leliaert J, Jaufenthaler A, Baumgarten D.   +3 more
europepmc   +1 more source

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The apeirogon and dual numbers

Symmetry: Culture and Science, 2021
Abstract: 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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Subdiagrams equal in number to their duals

Algebra Universalis, 1986
A subdiagram S of an ordered set P is a cover-preserving ordered subset of P. If S is finite, \(\ell (S)\neq 2\) and S is, as a down set, embedded in a selfdual lattice of subspaces of a projective geometry then the authors prove that S is a ''dual subdiagram invariant'' which means: For any modular lattice M, the number of subdiagrams of M isomorphic ...
Ivan Rival, Ivan Rival, Klaus Reuter, Klaus Reuter   +3 more
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Fuzzy Dual Numbers

2017
In this chapter we introduce a special class of dual numbers, fuzzy dual numbers representative of symmetrical fuzzy numbers.
Carlos Alberto Nunes Cosenza, Felix Mora-Camino   +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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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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n-Dimensional dual complex numbers

Advances in Applied Clifford Algebras, 1998
The 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 ...
Paul Fjelstad, Sorin G. Gal
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