The function plotted in Figure 22.1 is a complicated wave. It oscillates rapidly and goes up and down unpredictably. Yet we know from experience that if we magnify such a wave and examine small parts of it in detail, we may eventually find parts that are smooth and behave like the curves of most common functions such as square root, logarithm, sine, and polynomials.
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Prof. David Salomon (emeritus)
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