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单词 Continuous differentiability
释义

Continuous differentiability

英语百科

Smoothness

A bump function is a smooth function with compact support.
The C0 function f(x)=x for x≥0 and 0 otherwise.
The function f(x)=x2 sin(1/x) for x>0.
Curves with G1-contact (circles,line)

In mathematical analysis, the smoothness of a function is a property measured by the number of derivatives it has which are continuous. A smooth function is a function that has derivatives of all orders everywhere in its domain.

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