Smooth

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Last seen on: –Mirror Quick Crossword January 11 2023
Mirror Quick Crossword January 11 2023
Mirror Quick Crossword January 11 2023
Thomas Joseph – King Feature Syndicate Crossword – Sep 28 2022
Thomas Joseph – King Feature Syndicate Crossword – Jul 16 2022
Thomas Joseph – King Feature Syndicate Crossword – Jan 14 2022
Thomas Joseph – King Feature Syndicate Crossword – Apr 5 2021
Thomas Joseph – King Feature Syndicate Crossword – Nov 24 2020
NY Times Crossword 8 Apr 20, Wednesday

Random information on the term “Smooth”:

In mathematical analysis, the smoothness of a function is a property measured by the number of continuous derivatives it has over some domain. At the very minimum, a function could be considered “smooth” if it is differentiable everywhere (hence continuous). At the other end, it might also possess derivatives of all orders in its domain, in which case it is referred to as a C-infinity function (or C ∞ {\displaystyle C^{\infty }} function).

Differentiability class is a classification of functions according to the properties of their derivatives. It’s a measure of the highest order of derivative that exist for a function.

Consider an open set on the real line and a function f defined on that set with real values. Let k be a non-negative integer. The function f is said to be of (differentiability) class Ck if the derivatives f′, f′′, …, f(k) exist and are continuous (continuity is implied by differentiability for all the derivatives except for f(k)). The function f is said to be of class C∞, or smooth, if it has derivatives of all orders. The function f is said to be of class Cω, or analytic, if f is smooth and if its Taylor series expansion around any point in its domain converges to the function in some neighborhood of the point. Cω is thus strictly contained in C∞. Bump functions are examples of functions in C∞ but not in Cω.

Smooth on Wikipedia