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Editorial: Molecular innate immunity in aquatic animals and their response to epidemic diseases. [PDF]
Lu H, Liao Z, Sun J, Yang L, Deng H.
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Partitioned Maclaurin symmetric mean operators in bipolar complex fuzzy sets for multiattribute decision making. [PDF]
Rehman UU+3 more
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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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Second‐order design sensitivity analysis using diagonal hyper‐dual numbers
International Journal for Numerical Methods in Engineering, 2021Although sensitivity analysis provides valuable information for structural optimization, it is often difficult to use the Hessian in large models since many methods still suffer from inaccuracy, inefficiency, or limitation issues.
Vitor Takashi Endo+2 more
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Space Kinematics and Projective Differential Geometry over the Ring of Dual Numbers
, 2020We study an isomorphism between the group of rigid body displacements and the group of dual quaternions modulo the dual number multiplicative group from the viewpoint of differential geometry in a projective space over the dual numbers.
Hans-Peter Schrocker+2 more
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Computations of Dual Numbers in the Extended Finite Dual Plane [PDF]
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]
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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