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0-transformations Adaptive Pattern admissible Appendix assumed Bayes binary words Block Boolean functions class of patterns Comp computed cost of classifying decision defined by Equation described design data digit distributions effective set estimate example excess mass Feature Extraction Handprinted Highleyman hyperplane IEEE Trans illustrated index of performance integral geometry joint densities Lainiotis lattice points linear linearly separable located machine means for categorization members of Class methods micro-regions minimaxing multivariate density functions Nagy Nc classes Nc discriminant functions NH attributes Nilsson optimum parameters pattern classes pattern points Pattern Recognition pattern space Perceptron possible priori probabilities probability density function problem Proc procedure q units quadric receptor representative patterns Science and Cybernetics Section selected separation surface set of attributes set of Nc Statistical statistically independent step Stochastic Approximation Subsection Systems Science templets tern test data Theory tion transformation units of probability unlabelled pattern values zero