Smooth Function

Smooth Function

In mathematical analysis, a differentiability class is a classification of functions according to the properties of their derivatives. Higher order differentiability classes correspond to the existence of more derivatives. Functions that have derivatives of all orders are called smooth.

Most of this article is about real-valued functions of one real variable. A discussion of the multivariable case is presented towards the end.

Read more about Smooth Function:  Differentiability Classes, Parametric Continuity, Geometric Continuity

Famous quotes containing the words smooth and/or function:

    “The moderation of people in prosperity is the effect of a smooth and composed temper, owing to the calm of their good fortune.”
    —François, Duc De La Rochefoucauld (1613–1680)

    “Think of the tools in a tool-box: there is a hammer, pliers, a saw, a screwdriver, a rule, a glue-pot, nails and screws.—The function of words are as diverse as the functions of these objects.”
    —Ludwig Wittgenstein (1889–1951)