The Function Is Smooth
The function f has continuous derivatives of all orders in all points x of the real line, given by
where pn(x) is a polynomial of degree n − 1 given recursively by p1(x) = 1 and
Read more about this topic: Non-analytic Smooth Function
Famous quotes containing the words function and/or smooth:
“The art of living is to function in society without doing violence to one’s own needs or to the needs of others. The art of mothering is to teach the art of living to children.”
—Elaine Heffner (20th century)
“Beautiful women seldom want to act. They are afraid of emotion and they do not try to extract anything from a character that they are portraying, because in expressing emotion they may encourage crow’s feet and laughing wrinkles. They avoid anything that will disturb their placidity of countenance, for placidity of countenance insures a smooth skin.”
—Laurette Taylor (1887–1946)