Smoothness

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created: 2021-10-21 19:42:46
modified: 2022-06-15 01:19:37

Property of a function that measures the number of continuous derivative it has over some domain.

At the very minimum, a function could be considered smooth if it is differentiable everywhere (and also continuous as a result). But usually the functions are the ones called smooth.

If the function can be differentiated as many times as we want, then it is infinitely differentiable and is called a C-infinity () function.

Functions can be grouped into differentiability classes based on their degree of smoothness.