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:

    It may seem strange that any road through such a wilderness should be passable, even in winter, when the snow is three or four feet deep, but at that season, wherever lumbering operations are actively carried on, teams are continually passing on the single track, and it becomes as smooth almost as a railway.
    Henry David Thoreau (1817–1862)

    The function of comedy is to dispel ... unconsciousness by turning the searchlight of the keenest moral and intellectual analysis right on to it.
    George Bernard Shaw (1856–1950)