Randomness and pattern in convex geometric analysis.
Rangements optimaux de carrés unité dans une bande infinie
Rank forms, closed zones and laminae
For a given lattice, we establish an equivalence between closed zones for the corresponding Voronoï polytope, suitable hyperplane sections of the corresponding Delaunay partition, and rank quadratic forms which are extreme rays for the corresponding -type domain.
Rapport sur la géométrie par morceaux
Rareté des intervalles recouvrant un point dans un recouvrement aléatoire
Rational model of the subspace complement on atomic complexes.
Rational realization of the minimum ranks of nonnegative sign pattern matrices
A sign pattern matrix (or nonnegative sign pattern matrix) is a matrix whose entries are from the set (, respectively). The minimum rank (or rational minimum rank) of a sign pattern matrix is the minimum of the ranks of the matrices (rational matrices, respectively) whose entries have signs equal to the corresponding entries of . Using a correspondence between sign patterns with minimum rank and point-hyperplane configurations in and Steinitz’s theorem on the rational realizability of...
Räumliche Zindlerkurven.
Real analytic convex surfaces with positive topological entropy and rigid body dynamics.
Realizations of regular polytopes.
Reciprocal domains and Cohen-Macaulay -complexes in .
Recognizing graph theoretic properties with polynomial ideals.
Recognizing sets by means of some of their sections.
Recognizing the topology of the space of closed convex subsets of a Banach space
Reconstructing dimensions of intersections of convex sets.
Reconstructing Plane Sets from Projections.
Reduced spherical polygons
For every hemisphere K supporting a spherically convex body C of the d-dimensional sphere we consider the width of C determined by K. By the thickness Δ(C) of C we mean the minimum of the widths of C over all supporting hemispheres K of C. A spherically convex body is said to be reduced provided Δ(Z) < Δ(R) for every spherically convex body Z ⊂ R different from R. We characterize reduced spherical polygons on S². We show that every reduced spherical polygon is of thickness at most π/2. We...
Redundance of vertices of the cube relatively to its minimal ellipsoid.
Reflexivity of convex subsets of L(H) and subspaces of .
Regular polygons