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:

    And there’s a score of duchesses, surpassing womankind,
    Or who have found a painter to make them so for pay
    And smooth out stain and blemish with the elegance of his mind:
    I knew a phoenix in my youth, so let them have their day.
    William Butler Yeats (1865–1939)

    Every boy was supposed to come into the world equipped with a father whose prime function was to be our father and show us how to be men. He can escape us, but we can never escape him. Present or absent, dead or alive, real or imagined, our father is the main man in our masculinity.
    Frank Pittman (20th century)