Abstract
This chapter provides an overview of ɛ–entropy. It also presents the proof of a theorem relating the ɛ-entropy to the ɛ-capacity. The chapter presents a theorem that is particularly interesting on two counts: it demonstrates the advantage of knowing the function to be approximated to have bounded derivatives and provides an assessment of the complexity of functions of several variables. The particularly revealing implication of this theorem is that the magnitude of the task of approximating functions of several variables is comparable to that of approximating a function of one variable.
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