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Convex bodies and convexity on grassmann cones (X): Projection functions of parallel convex bodies
Annali di Matematica Pura ed Applicata, 1965It 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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Chasing Convex Bodies and Functions
2016We 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 +5 more
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Projected Area of Convex Bodies
Nature, 1948IN 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, 1958Rogers, C. A., Shephard, Geoffrey C.
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Colorful Helly-type theorems for the volume of intersections of convex bodies
Journal of Combinatorial Theory - Series A, 2021Marton Naszodi +2 more
exaly
On the Skeletons of Convex Bodies
Bulletin of the London Mathematical Society, 1978openaire +2 more sources
Minimizing within Convex Bodies Using a Convex Hull Method
SIAM Journal on Optimization, 2005Edouard Oudet
exaly