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 states one function is to give.
The bud must bloom till blowsy blown
Its petals loosen and are strown;
And thats a fate it cant evade
Unless twould rather wilt than fade.”
—Robert Frost (18741963)
“The smooth sizzle of a passing motorcar.”
—Vladimir Nabokov (18991977)