In mathematical analysis, the smoothness describes the number of times a function can be differentiated without producing discontinuities. The smoothness, or differentiability class, is an integer k {\displaystyle k} such that a function has all derivatives up to order k {\displaystyle k} , and such that all of these derivatives are continuous.
In mathematical analysis, the smoothness describes the number of times a function can be differentiated without producing discontinuities. The smoothness, or differentiability class, is an integer k {\displaystyle k} such that a function has all derivatives up to order k {\displaystyle k} , and such that all of these derivatives are continuous.
Source: Wikipedia "Smoothness" · CC BY-SA 4.0
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