We define the manifold of configurations to be quotient set k points in Euclidean space identified under congruence, and prove that compact subsets ℝd, d≥2, large Hausdorff dimension have a non-null them. Our method simplifies previous work achieves better dimensional threshold.

In Section 2, after giving the basic definitions and some elementary consequences, we introduce two fundamental algebraic structures associated with a coherent configuration, namely, the boolean algebra of admissable relations and the adjacency ring. The action of a group on a finite set induces the structure of a coherent configuration in the set, and in this situations, which we refer to as t...

We describe a new way to construct finite geometric objects. For every k we obtain a symmetric configuration E(k−1) with k points on a line. In particular, we have a constructive existence proof for such configurations. The method is purely geometric. It also produces interesting periodic matrices. Mathematisches Institut, Universität Tübigen, Deutschland E-mail address: christoph.hering@uni-tu...

for an indoor non-directed line of sight optical wireless communication (nlos-owc) system we investigate the optimized lambertian order (olo) of light-emitting diodes (leds). we firstly derive an expression for the olo from a conventional lambertian led model. then, we analyze the indoor multi-cell nlos-owc channel characteristics including the optical power distribution and the multipath time ...