Results 81 to 90 of about 44,177 (192)

Measures of Sections of Convex Bodies [PDF]

open access: yes, 2017
This article is a survey of recent results on slicing inequalities for convex bodies. The focus is on the setting of arbitrary measures in place of volume.
openaire   +3 more sources

Design for Copying Grouser and Bionic Convex Hull Patterns on Track Surfaces of Crawler Combine Harvesters

open access: yesAgriculture
In the rainy season, which often has uncertain rainfall, crawler combine harvesters have difficulty traversing wet and soft rice fields. A large amount of clay is often accumulated on the track surfaces, resulting in frequent slipping and sinking, which ...
Lulu Yuan   +4 more
doaj   +1 more source

Mechanical design of a convex-deformable polymer plate

open access: yesMaterials & Design, 2023
The authors’ previous study introduced a convex-deformable sandwich plate consisting of a pyramid truss core and two face sheets that exhibit a two-dimensional auxetic pattern.
Yoon Chang Jeong, Kiju Kang
doaj  

f-Divergence for Convex Bodies [PDF]

open access: yes, 2013
We introduce f-divergence, a concept from information theory and statistics, for convex bodies in R^n. We prove that f-divergences are SL(n) invariant valuations and we establish an affine isoperimetric inequality for these quantities. We show that generalized affine surface area and in particular the L_p affine surface area from the L_p Brunn ...
openaire   +3 more sources

Covering space with convex bodies [PDF]

open access: bronze, 1962
Péter L. Erdős, C. Rogers
openalex   +1 more source

Hyperplane sections of convex bodies

open access: yesJournal of Mathematical Analysis and Applications, 2008
AbstractWe prove sharp inequalities for the volumes of hyperplane sections bisecting a convex body in Rn. This leads to a relative isoperimetric inequality for arbitrary hyperplane sections of a convex body.
openaire   +3 more sources

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