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:
“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)
“When we do not know the truth of a thing, it is of advantage that there should exist a common error which determines the mind of man.... For the chief malady of man is restless curiosity about things which he cannot understand; and it is not so bad for him to be in error as to be curious to no purpose.”
—Blaise Pascal (1623–1662)
“Truth is the kind of error without which a certain species of life could not live. The value for life is ultimately decisive.”
—Friedrich Nietzsche (1844–1900)