Publisher's Synopsis
Excerpt from A Tight Lower Bound for the Complexity of Path-Planning for a Disc
Consider a fixed real number x; let i be an integer in the range 1 n. Then an (n, f) barrier around it is constructed as illustrated. The barrier has two connected components. Its center component is a rectangle of width 2, centered on the vertical line through x, with its y-coordinates between 1 and 3i] 1. The other component has y-coordinates between 4 and 3n+5, and is designed so that for the disc to pass the barrier it must negotiate a 'passage' around the center component, of width 3 units throughout, beginning with y-coordinate 4. 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.
