Planning a Purely Translational Motion for a Convex Object in Two-Dimensional Space Using Generalized Voronoi Diagrams.
Platonic hypermaps.
Poincaré Inequalities and Moment Maps
We discuss a method for obtaining Poincaré-type inequalities on arbitrary convex bodies in . Our technique involves a dual version of Bochner’s formula and a certain moment map, and it also applies to some non-convex sets. In particular, we generalize the central limit theorem for convex bodies to a class of non-convex domains, including the unit balls of -spaces in for .
Point derivations for Lipschitz functions andClarke's generalized derivative
Clarke’s generalized derivative is studied as a function on the Banach algebra Lip(X,d) of bounded Lipschitz functions f defined on an open subset X of a normed vector space E. For fixed and fixed the function is continuous and sublinear in . It is shown that all linear functionals in the support set of this continuous sublinear function satisfy Leibniz’s product rule and are thus point derivations. A characterization of the support set in terms of point derivations is given.
Points entiers dans les polytopes convexes
Points extrêmaux dans un monoide affine semitopologique.
Points extrémaux d'un convexe compact de Rn appartenant à un réseau
Points extrémaux d'un simplexe compact métrisable
Points extrémaux et densité.
Points frontières de certains compacts convexes appartenant à un réseau, dans et
Points of infinitely many normals to convex surfaces.
Polar lattices from the point of view of nuclear spaces.
The aim of this survey article is to show certain questions concerning nuclear spaces and linear operators in normed spaces lead to questions from geometry of numbers.
Polarity of embedded and circumscribed ellipsoids.
Polyederfunktionale, die nicht translationsvariant, aber injektiv sind.
Polyedrische 2-Mannigfaltigkeiten mit wenigen nicht-konvexen Ecken.
Polygon placement under translation and rotation
Polygonizations of Point Sets in the Plane.
Polygons with hidden vertices.
Polyhedra inscribed and circumscribed to convex bodies.
Polyhedral approximation of convex sets with an application to large deviation probability theory.