Results 51 to 60 of about 253,345 (276)
Comments on the floating body and the hyperplane conjecture [PDF]
, 2011 We provide a reformulation of the hyperplane conjecture (the slicing problem) in terms of the floating body and give upper and lower bounds on the logarithmic Hausdorff distance between an arbitrary convex body $K\subset \mathbb{R}^{d}$\ and the convex ...
Fresen, Daniel
core
Advanced Engineering Materials, EarlyView.The wettability of aluminum droplets (Al) on different copper substrates (Cu), where liquid Al spreads on solid Cu surfaces to form a liquid–solid interface, is studied numerically and experimentally. The experimental and numerical results show good agreement in the fast‐spreading regime.
Shan Lyu +8 more
wiley +1 more source
Existence and Approximation of Densities of Chord Length- and Cross Section Area Distributions
Image Analysis and Stereology, 2023 In various stereological problems a n-dimensional convex body is intersected with an (n−1)-dimensional Isotropic Uniformly Random (IUR) hyperplane. In this paper the cumulative distribution function associated with the (n−1)-dimensional volume of such a ...
Thomas van der Jagt +2 more
doaj +1 more source
, 2019 We prove that if $K, L \subset \mathbb{R}^2$ are convex bodies such that $L$ is symmetric and the Banach-Mazur distance between $K$ and $L$ is equal to $2$, then $K$ is a triangle.Comment: 17 pages, 13 ...
Kobos, Tomasz
core +1 more source
Numerical Modeling of Tank Cars Carrying Hazardous Materials With and Without Composite Metal Foam
Advanced Engineering Materials, EarlyView.Large‐scale puncture models consisting of hazardous materials (HAZMATs) tank car with protective steel–steel composite metal foam (S–S CMF) are solved numerically. Tank car plate with added 10.91–13.33 mm thick S–S CMF layer does not puncture. Protective S–S CMF absorbs impact energy, reduces plate deformation, and prevents shear bands formation ...
Aman Kaushik, Afsaneh Rabiei
wiley +1 more source
Diameters of Convex Bodies [PDF]
Proceedings of the American Mathematical Society, 1954 In [2], we have shown that the extended diameter family of a convex body C in n-space has the property of outward simplicity if and only if there is no pair of parallel line segments in the boundary of C respectively in an opposite pair of parallel contact planes of C.
openaire +2 more sources
Convex Bodies with Similar Projections [PDF]
Proceedings of the American Mathematical Society, 1994 By examining an example constructed by Petty and McKinney, we show that there are pairs of centered and coaxial bodies of revolution in E d , d ≥ 3 {\mathbb {E}^d}, d \geq 3 , whose projections onto each two-dimensional subspace ...
Gardner, R. J., Volčič, A.
openaire +1 more source
Robust Spot Melting by 3D Spot Arrangements in Electron Beam Powder Bed Fusion
Advanced Engineering Materials, EarlyView.This work proposes an approach to replace separately melted contours for spot melting in electron beam powder fusion. Adapting the spot arrangements close to the contour combined with stacking yields a comparable surface quality without the inherent challenges of separate contours, as demonstrated, by electron optical images and roughness measurements.
Tobias Kupfer +4 more
wiley +1 more source
Advanced Functional Materials, EarlyView.In this study, we produced HfN‐based nanoparticles via femtosecond laser ablation in acetone. The nanoparticles exhibit a red‐shifted plasmonic resonance in the NIR‐I window, colloidal stability after coating with polyethyleneglycol, and excellent biocompatibility. The photothermal and X‐ray sensitization therapeutic effects were demonstrated for tumor
Julia S. Babkova +15 more
wiley +1 more source
Distribution functions of sections and projections of convex bodies
, 2015 Typically, when we are given the section (or projection) function of a convex body, it means that in each direction we know the size of the central section (or projection) perpendicular to this direction.
Kim, Jaegil +2 more
core +1 more source