Error
Call the calculated polynomial H and original function f. Evaluating a point, the error function is
where c is an unknown within the range, K is the total number of data-points plus one, and is the number of derivatives known at each plus one.
Read more about this topic: Hermite Interpolation
Famous quotes containing the word error:
“‘Tis this desire of bending all things to our own purposes which turns them into confusion and is the chief source of every error in our lives.”
—Sarah Fielding (1710–1768)
“Error is a supposition that pleasure and pain, that intelligence, substance, life, are existent in matter. Error is neither Mind nor one of Mind’s faculties. Error is the contradiction of Truth. Error is a belief without understanding. Error is unreal because untrue. It is that which seemeth to be and is not. If error were true, its truth would be error, and we should have a self-evident absurdity—namely, erroneous truth. Thus we should continue to lose the standard of Truth.”
—Mary Baker Eddy (1821–1910)
“There exists a black kingdom which the eyes of man avoid because its landscape fails signally to flatter them. This darkness, which he imagines he can dispense with in describing the light, is error with its unknown characteristics.... Error is certainty’s constant companion. Error is the corollary of evidence. And anything said about truth may equally well be said about error: the delusion will be no greater.”
—Louis Aragon (1897–1982)