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:
“For me being a poet is a job rather than an activity. I feel I have a function in society, neither more nor less meaningful than any other simple job. I feel it is part of my work to make poetry more accessible to people who have had their rights withdrawn from them.”
—Jeni Couzyn (b. 1942)
“or the warm soft side
Of the resigning yet resisting bride.
The kiss of virgins first-fruits of the bed;
Soft speech, smooth touch, the lips, the maidenhead;
These and a thousand sweets could never be
So near or dear as thou wast once to me.”
—Robert Herrick (15911674)