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Excerpt from On K-Sets in Arrangements of Curves and Surfaces The paper is organized as follows. In Section 2 we present the proofs of Theorems and discuss some further generalizations of the problem. In Section 3 we will present a variety of applications of our bounds to higher order Voronoi diagrams, partial stabbing of disjoint convex sets in the plane, 'zsparse coverings of the plane. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

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