General Case
For the special case of, there is a closely related set of polynomials, also called the Newton polynomials, that are simply the binomial coefficients for general argument. That is, one also has the Newton polynomials given by
In this form, the Newton polynomials generate the Newton series. These are in turn a special case of the general difference polynomials which allow the representation of analytic functions through generalized difference equations.
Read more about this topic: Newton Polynomial
Famous quotes containing the words general and/or case:
“A private should preserve a respectful attitude toward his superiors, and should seldom or never proceed so far as to offer suggestions to his general in the field. If the battle is not being conducted to suit him, it is better for him to resign. By the etiquette of war, it is permitted to none below the rank of newspaper correspondent to dictate to the general in the field.”
—Mark Twain [Samuel Langhorne Clemens] (1835–1910)
“Instructing in cures, therapists always recommend that “each case be individualized.” If this advice is followed, one becomes persuaded that those means recommended in textbooks as the best, means perfectly appropriate for the template case, turn out to be completely unsuitable in individual cases.”
—Anton Pavlovich Chekhov (1860–1904)