Results 271 to 280 of about 15,809 (305)

On Bodies Associated with a Given Convex Body

Canadian Mathematical Bulletin, 1996
AbstractLet d ≥ 2, and K ⊂ ℝd be a convex body with 0 ∈ int K. We consider the intersection body IK, the cross-section body CK and the projection body ΠK of K, which satisfy IK ⊂ CK ⊂ ΠK. We prove that [bd(IK)] ∩ [bd(CK)] ≠ (a joint observation with R. J.
Makai, Endre jun., Martini, Horst
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An Inequality for Convex Bodies

1985
Not ...
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Chasing Convex Bodies and Functions

2016
We consider three related online problems: Online Convex Optimization, Convex Body Chasing, and Lazy Convex Body Chasing. In Online Convex Optimization the input is an online sequence of convex functions over some Euclidean space. In response to a function, the online algorithm can move to any destination point in the Euclidean space.
Antoniadis, Antonios, Barcelo, Neal, Nugent, Michael, Pruhs, Kirk, Schewior, Kevin, Scquizzato, Michele   +5 more
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Convex bodies and convexity on grassmann cones (X): Projection functions of parallel convex bodies

Annali di Matematica Pura ed Applicata, 1965
It is shown that if K is a convex polyhedron or a smooth convex body, then for sufficiently large positive ρ, the body parallel to K at distance ρ has convex projection functions. An example is given of a convex body which does not have this property.
Busemann, H., Shephard, Geoffrey C.
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Projected Area of Convex Bodies

Nature, 1948
IN connexion with photometric determination of specific surface of finely divided material, it is essential to know the relation between the projected area of particles, which is actually measured, and the corresponding surface area. The solution of this problem was first given by A.
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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.
openaire   +1 more source

Colorful Helly-type theorems for the volume of intersections of convex bodies

Journal of Combinatorial Theory - Series A, 2021
Gabor Damásdi, Viktoria Földvári, Marton Naszodi   +2 more
exaly  

On the Skeletons of Convex Bodies

Bulletin of the London Mathematical Society, 1978
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Sections of Convex Bodies

Journal of the London Mathematical Society, 1976
openaire   +1 more source

Combinatorial problems on the illumination of convex bodies

Aequationes Mathematicae, 1999
H Martini, Martini H
exaly