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We show that the performance of the Hopfield neural networks, especially the quality of the recall and the capacity of the effective storing, can be greatly improved by making use of a recently presented neural network designing method without altering the whole structure of the network. In the improved neural network, a memory patte is recalled exactly from initial states having a given degree of similarity with the memory patte, and thus one can avoids to apply the overlap criterion as carried out in the Hopfield neural networks.