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:
“When a scientist is ahead of his times, it is often through misunderstanding of current, rather than intuition of future truth. In science there is never any error so gross that it won’t one day, from some perspective, appear prophetic.”
—Jean Rostand (1894–1977)
“Meanwhile, if the fear of falling into error sets up a mistrust of Science, which in the absence of such scruples gets on with the work itself, and actually cognizes something, it is hard to see why we should not turn round and mistrust this very mistrust.... What calls itself fear of error reveals itself rather as fear of the truth.”
—Georg Wilhelm Friedrich Hegel (1770–1831)
“Never miss an opportunity to allow a child to do something she can and wants to on her own. Sometimes we’re in too much of a rush—and she might spill something, or do it wrong. But whenever possible she needs to learn, error by error, lesson by lesson, to do better. And the more she is able to learn by herself the more she gets the message that she’s a kid who can.”
—Polly Berrien Berends (20th century)