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A Catalog of Special Plane Curves
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The article was published on 2013-12-31 and is currently open access. It has received 384 citations till now. The article focuses on the topics: Plane curve & Quartic plane curve.read more
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An oscillation theory of handwriting
TL;DR: In this paper, the authors developed an oscillation theory for human handwriting and implemented it in the context of the spring muscle model, where sinusoidal oscillations arise from a purely mechanical source; orthogonal antagonistic spring pairs generate particular cycloids depending on the initial conditions.
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Pythagorean hodographs
Rida T. Farouki,Takis Sakkalis +1 more
TL;DR: A sufficient and necessary algebraic characterization of the Pythagorean-hodograph property is given in this paper, where the authors analyze its geometric implications in terms of Bernstein-Bezier forms and survey the useful attributes it entails in various applications.
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Waves and Thom's theorem
TL;DR: In this article, the singularity of mappings is used to define a special case of a catastrophe of infinite co-dimension, where the density of trajectories is infinite and the topology is unaltered by generic perturbation.
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Scaling impact melting and crater dimensions: Implications for the lunar cratering record
TL;DR: In this article, the potential relationship between impact melting on the Moon and the interior morphologies of large craters and peaking basins is examined, and the implications of impact melting at such large scales for lunar-sample provenance and evolution of the lunar crust are discussed.
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SANISAND : Simple anisotropic sand plasticity model
TL;DR: In this article, a modified eight-curve equation is proposed for the SANISAND model, which enables the prediction of plastic strains during any type of constant stress-ratio loading, without losing their well-established predictive capability for all other loading conditions including cyclic.