Excerpt from Construction of Optimal Sequential Decision Trees Since each term in the sum is 0, it is clear that the entropy is zero if and only if the probability of some object is equal to 1. There fore, if the entropy is not zero after several tests have been applied it is not possible that the object has been identified. Similarly, if the average decrease in entropy produced from several tests is not at least equal to the initial entropy then it is not possible for the objects to. 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.