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About the geometry of the Cassini oval, its non-convexity degree and $\varepsilon$-offset layer
Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, 2022The paper studies the geometry of a closed nonconvex smooth simply connected curve on a plane — of the Cassini oval, as well as the geometry of the $\varepsilon$-layer around the set whose boundary is the Cassini oval. Various analytical representations of the $\varepsilon$-layer boundary are formed, and special points of this boundary are described ...
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Cassini Oval to Limacon: An Analytic Conversion
2021This paper illustrates how a Cassini Oval can be converted to a Limacon using analytic Geometry.
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Journal of Optics A: Pure and Applied Optics, 2005
In this paper the nullfield method with discrete sources (NFM-DS) is applied to analysis of light scattering by biconcave Cassini-like particles, which can be described as oblate discspheres with central concavities on their top and bottom. As far as we know this is a first attempt to apply a modification of the T-matrix method to model such a ...
Jens Hellmers +2 more
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In this paper the nullfield method with discrete sources (NFM-DS) is applied to analysis of light scattering by biconcave Cassini-like particles, which can be described as oblate discspheres with central concavities on their top and bottom. As far as we know this is a first attempt to apply a modification of the T-matrix method to model such a ...
Jens Hellmers +2 more
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International Journal of Precision Engineering and Manufacturing, 2014
This paper presents a novel braiding mechanism simulated on Bernoulli Lemniscate function. Spatial dynamics of thread sequence have been computed to find a simple and innovative drive mechanism for braiding complex pattern. Dynamic degree-of-freedoms (DOFs) of strings has been holonomically constrained by Cassini oval function in simulation and ...
Supankar Das +4 more
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This paper presents a novel braiding mechanism simulated on Bernoulli Lemniscate function. Spatial dynamics of thread sequence have been computed to find a simple and innovative drive mechanism for braiding complex pattern. Dynamic degree-of-freedoms (DOFs) of strings has been holonomically constrained by Cassini oval function in simulation and ...
Supankar Das +4 more
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Russian Universities Reports. Mathematics
In this article, we introduce and study a class P_n (φ_λ) of functions φ(z)=1+c_n z^n+c_(n+1) z^(n+1)+⋯, n≥1, analytic in the open unit disk E, subordinate to the function φ_λ (z)=1+(1-λ)z/(1-λz^2), 0≤λ<1. From a geometric point of view, this means that the set of values of the function φ(z) is contained within the region φ_λ (E) bounded by the ...
Fedor F. Maiyer +3 more
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In this article, we introduce and study a class P_n (φ_λ) of functions φ(z)=1+c_n z^n+c_(n+1) z^(n+1)+⋯, n≥1, analytic in the open unit disk E, subordinate to the function φ_λ (z)=1+(1-λ)z/(1-λz^2), 0≤λ<1. From a geometric point of view, this means that the set of values of the function φ(z) is contained within the region φ_λ (E) bounded by the ...
Fedor F. Maiyer +3 more
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Bimodal Droplet‐Based Electricity Generation Through Semi Cassini Oval Dynamic Morphology Control
SmallAbstract Droplet‐based electricity generator (DEG) is the promising energy harvesting technology applicable in versatile scenarios. Despite numerous optimizations in DEG's materials and structures, few has paid attention to the droplet dynamics and morphology control.
Jiaxing Xu +5 more
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Appendix D: Area within a Maximum Range Oval of Cassini
2004The area within a maximum range oval of Cassini is developed in this appendix. The development is in two parts: (1) the area within a single oval, where the baseline, L < 2√κ and κ = bistatic maximum range constant, and (2) the area within two identical ovals, surrounding the transmitter and receiver, where L ≥ 2√κ.
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Cassini Oval Scanning for High-Speed AFM Imaging
2022 5th World Conference on Mechanical Engineering and Intelligent Manufacturing (WCMEIM), 2022Yu Liao +8 more
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Journal of Hazardous Materials
Microplastics (MPs) vary in shape and surface characteristics in the environment. The attachment of MPs to surfaces can be studied using the Derjaguin-Landau-Verwey-Overbeek (DLVO) theory. However, this theory does not account for the shape MPs. Therefore, we investigated the attachment of spherical, pear-shaped, and peanut-shaped polystyrene MPs to ...
Allan, Gomez-Flores +5 more
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Microplastics (MPs) vary in shape and surface characteristics in the environment. The attachment of MPs to surfaces can be studied using the Derjaguin-Landau-Verwey-Overbeek (DLVO) theory. However, this theory does not account for the shape MPs. Therefore, we investigated the attachment of spherical, pear-shaped, and peanut-shaped polystyrene MPs to ...
Allan, Gomez-Flores +5 more
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Observed Auroral Ovals Secular Variation Inferred from Auroral Boundary Data
Geosciences (Switzerland), 2021Ana G Elias +2 more
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