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:
“Truth is one, but error proliferates. Man tracks it down and cuts it up into little pieces hoping to turn it into grains of truth. But the ultimate atom will always essentially be an error, a miscalculation.”
—René Daumal (1908–1944)
“In religion,
What damned error but some sober brow
Will bless it, and approve it with a text,
Hiding the grossness with fair ornament?”
—William Shakespeare (1564–1616)
“It is as certain as it is strange that truth and error come from one and the same source; for that reason one must often not do something to the detriment of error since one would do also something detrimental to truth.”
—Johann Wolfgang Von Goethe (1749–1832)