Results 241 to 250 of about 253,345 (276)

Convolutions, Transforms, and Convex Bodies

Proceedings of the London Mathematical Society, 1999
The paper studies convex bodies and star bodies in \(\mathbb R^n\) by using Radon transforms on Grassmann manifolds, \(p\)-cosine transforms on the unit sphere, and convolutions on the rotation group of \(\mathbb R^n\). It presents dual mixed volume characterizations of \(i\)-intersection bodies and \(L_p\) balls which are related to certain volume ...
Grinberg, Eric, Zhang, Gaoyong
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Chord Functions of Convex Bodies

Journal of the London Mathematical Society, 1987
The k-chord function \(f\) \(k_ p\) of a set E, star-shaped at some point p, in \({\mathbb{R}}^ 2 \)is defined as follows (k\(\in {\mathbb{Z}})\). Suppose that \(t\in [0,\pi]\) and L is a line making an angle t with the x-axis. If \(L\cap E=\emptyset\), then \(f\) \(*_ p(t)=0\).
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Generalized Convex Bodies of Revolution

Canadian Journal of Mathematics, 1967
The figures studied in this paper are special convex bodies in Euclidean three-dimensional space which we shall call generalized convex bodies of revolution (GCBR). Such a set is obtained by the following procedure. Let K1 be a convex body of revolution and let x, y, z denote Cartesian coordinates in a system for which the z-axis is the axis of K1.
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Convex Bodies with Homothetic Sections

Bulletin of the London Mathematical Society, 1991
Let \(K\subset\mathbb{E}^{n+1}\) (\(n\geq 2)\) be a convex body, let \(p_ 0\in K\), and suppose that all \(n\)-sections through \(p_ 0\) are affinely equivalent. For odd \(n\), it is still unknown whether \(K\) must be an ellipsoid. The author proves the following weaker versions. If all \(n\)- sections of \(K\) through \(p_ 0\) are affinely equivalent,
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Dynamics of Bouncing Convex Body

Chaos, Solitons & Fractals
Acknowledgements This work is supported by the National Natural Science Foundation of China (12302015, 12172306, 12172167) and Jiangsu Funding Program for Excellent Postdoctoral Talent .
Zhang, Xiaoming, Li, Denghui, Grebogi, Celso, Liu, Xianbin   +3 more
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Convex Bodies Associated with a Given Convex Body

Journal of the London Mathematical Society, 1958
Rogers, C. A., Shephard, Geoffrey C.
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Automatic body condition scoring for dairy cows based on efficient net and convex hull features of point clouds

Computers and Electronics in Agriculture, 2023
Baisheng Dai
exaly  

An Inequality for Convex Bodies

1985
Not ...
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IRREDUCIBLE CONVEX BODIES

The Quarterly Journal of Mathematics, 1953
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Sections of Convex Bodies

Journal of the London Mathematical Society, 1976
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