Results 281 to 290 of about 4,249,593 (344)

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
openaire   +3 more sources

Fuzzy Dual Numbers

2017
Felix Mora-Camino   +1 more
openaire   +2 more sources

Higher order kinematic formulas and its numerical computation employing dual numbers

Mechanics based design of structures and machines, 2023
In the analysis of robots and mechanisms, the computation of velocities and accelerations is frequently needed. In other cases, higher-order kinematic formulas such as the jerk and the jounce/snap—the third and fourth-order time derivative of the ...
R. Peón-Escalante   +2 more
semanticscholar   +1 more source

Second‐order design sensitivity analysis using diagonal hyper‐dual numbers

International Journal for Numerical Methods in Engineering, 2021
Although 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
semanticscholar   +1 more source

Fuzzy Dual Numbers

2018
This is the first book focusing exclusively on fuzzy dual numbers. In addition to offering a concise guide to their properties, operations and applications, it discusses some of their advantages with regard to classical fuzzy numbers, and describes the most important operations together with a set of interesting applications in e.g.
Felix Mora-Camino   +1 more
openaire   +3 more sources

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 ...
Fjelstad, Paul, Gal, Sorin G.
openaire   +1 more source

Dual Numbers, Weighted Quivers, and Extended Somos and Gale-Robinson Sequences

, 2017
We investigate a general method that allows one to construct new integer sequences extending existing ones. We apply this method to the classic Somos-4 and Somos-5, and the Gale-Robinson sequences, as well as to more general class of sequences introduced
V. Ovsienko, S. Tabachnikov
semanticscholar   +1 more source

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