On the integration theorem for Lie groupoids
On the interpoint distance sum inequality.
On the iso-taxicab trigonometry.
On the Lifshits Constant for Hyperspaces
The Lifshits theorem states that any k-uniformly Lipschitz map with a bounded orbit on a complete metric space X has a fixed point provided k < ϰ(X) where ϰ(X) is the so-called Lifshits constant of X. For many spaces we have ϰ(X) > 1. It is interesting whether we can use the Lifshits theorem in the theory of iterated function systems. Therefore we investigate the value of the Lifshits constant for several classes of hyperspaces.
On the linearity of higher-dimensional blocking sets.
On the loop inequality for euclidean buildings
We give an estimate for the number of closed loops of given length in the 1-skeleton of a thick euclidean building. This kind of estimate can be used to prove the (RD) property for the subspace of radial functions on groups, as shown in the paper by A. Valette [same issue].
On the matrices of central linear mappings
We show that a central linear mapping of a projectively embedded Euclidean -space onto a projectively embedded Euclidean -space is decomposable into a central projection followed by a similarity if, and only if, the least singular value of a certain matrix has multiplicity . This matrix is arising, by a simple manipulation, from a matrix describing the given mapping in terms of homogeneous Cartesian coordinates.
On the Newton Polygon.
On the Non-Euclidian Geometry
On the non-existence of certain hyperovals in dual André planes of order 2.
On the Non-Existence of Certain M.D.S. Codes and Projective Planes.
On the number of facets of three-dimensional Dirichlet stereohedra. II: Non-cubic groups.
On the number of sums and products
On the Orbits of Collineation Groups.
On the orbits of Singer groups and their subgroups.
On the ordered sets in -dimensional real inner product spaces.
On the planar translation structures
On the planarity of the equilateral, isogonal pentagon.
On the plane geometry with generalized absolute value metric.
On the rank of random subsets of finite affine geometry
The aim of the paper is to give an effective formula for the calculation of the probability that a random subset of an affine geometry AG(r-1,q) has rank r. Tables for the probabilities are given for small ranks. The expected time to the first moment at which a random subset of an affine geometry achieves the rank r is derived.