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)
“Yet Ill not shed her blood,
Nor scar that whiter skin of hers than snow,
And smooth as monumental alabaster.”
—William Shakespeare (15641616)