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A Hybrid Optimization Design Method Based on TOA and GD for Improving the Diffuse Reflection Uniformity of Acoustic Metasurfaces. [PDF]
Materials (Basel)Ma J, Zhang Z, Chu Y.
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Determining Minimum Energy Conical Intersections by Enveloping the Seam: Exploring Ground and Excited State Intersections in Coupled Cluster Theory. [PDF]
J Phys Chem LettAngelico S, Kjønstad EF, Koch H.
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The Convex Hull of a Hypersurface
Proceedings of the London Mathematical Society, 1985Given a codimension 1 smooth immersed submanifold \(M^ m\) in \(E^{m+1}\), the authors study the structure of the frontier H(f) of the convex hull of the image of \(M^ m\) in \(E^{m+1}\). First of all, they show that there exists a star-shaped smooth embedding h of the m-sphere \(S^ m\) into \(E^{m+1}\) with \(H(h)=H(f)\). Using this, a panel structure
Robertson, S. A., Romero-Fuster, M. C.
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Hypersurfaces with Congruent Geodesics
Mathematische Nachrichten, 1992It is the purpose of this paper to prove the following theorem: Let \(M\) be a compact hypersurface of a complete, simply connected space \(N\) of constant curvature, and suppose that all geodesics of \(M\) are congruent in \(N\). Then \(M\) is an extrinsic sphere of positive curvature. The article contains many nice geometric ideas.
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Hypersurface Analysis Of Communities
Multivariate Behavioral Research, 1978Hypergeometric figures can be used to analyze the relationships that exist among community variables. Archetypal three and four dimensional analyses are described and illustrated by examples drawn from data concerning geographic patterns of suicide and mental disorder.
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On a Variational Problem on Hypersurfaces
Journal of the London Mathematical Society, 1973\«\dV £ cm, (1) M where cm denotes the area of a unit m-sphere. The equality sign of (1) holds when and only when M is a hypersphere in E. In order to know whether the inequality (1) can be improved for some given hypersurfaces in E, it is important to know the S-hypersurfaces in E, i.e., the stable hypersurfaces in E with respect to the integral ot ...
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HYPERSURFACES OF POLYGON SPACES
Advances and Applications in Discrete Mathematics, 2018Summary: Given a string \(\ell=(l_1, \ldots, l_n)\) of \(n\) positive real numbers, one considers the moduli space \(N_\ell\) of closed spatial polygonal curves having edge lengths \(l_i\). The complex manifold \(N_\ell\) contains various complex hypersurfaces. We study the relationship between the homology classes represented by them.
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