Results 81 to 90 of about 44,177 (192)
Scaled-Particle Methods for a Hard Convex-Body Fluid [PDF]
A. B. Ritchie
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Measures of Sections of Convex Bodies [PDF]
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.
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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
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Mechanical design of a convex-deformable polymer plate
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
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f-Divergence for Convex Bodies [PDF]
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 ...
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Hyperplane sections of convex bodies
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.
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