Charles Babbage's difference engine, an early mechanical calculator, was designed to use this algorithm in its operation. Divided differences is a recursive...

Newton's divided differences interpolation polynomial because the coefficients of the polynomial are calculated using Newton's divided differences method...

first created by Charles Babbage. The name difference engine is derived from the method of divided differences, a way to interpolate or tabulate functions...

finite differences. In numerical analysis, finite differences are widely used for approximating derivatives, and the term "finite difference" is often...

The Difference Quotient Archived 2005-09-12 at the Wayback Machine University of Birmingham: Dirk Hermans—Divided Differences Mathworld: Divided Difference...

In mathematical analysis, the mean value theorem for divided differences generalizes the mean value theorem to higher derivatives. For any n + 1 pairwise...

y_{i}].\end{aligned}}} Since the relationship between divided differences and forward differences is given as: [ y j , y j + 1 , … , y j + n ] = 1 n !...

and 7 were found. Horner's method can be modified to compute the divided difference ( p ( y ) − p ( x ) ) / ( y − x ) . {\displaystyle (p(y)-p(x))/(y-x)...

amplification of existing differences; The use of these differences for the benefit of the colonial empire; and The carry over of these differences into the post-colonial...

is a function of two non-negative numbers which is equal to their difference divided by the logarithm of their quotient. This calculation is applicable...