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:
“Yet I’ll not shed her blood,
Nor scar that whiter skin of hers than snow,
And smooth as monumental alabaster.”
—William Shakespeare (1564–1616)
“The function of muscle is to pull and not to push, except in the case of the genitals and the tongue.”
—Leonardo Da Vinci (1425–1519)