Charles Babbage's difference engine, an early mechanical calculator, was designed to use this algorithm in its operation. Divided differences is a recursive...
16 KB (3,705 words) - 09:15, 13 December 2023
Newton polynomial (redirect from Newton's divided differences)
Newton's divided differences interpolation polynomial because the coefficients of the polynomial are calculated using Newton's divided differences method...
26 KB (5,843 words) - 03:39, 13 December 2023
first created by Charles Babbage. The name difference engine is derived from the method of divided differences, a way to interpolate or tabulate functions...
39 KB (4,433 words) - 15:52, 18 August 2024
finite differences. In numerical analysis, finite differences are widely used for approximating derivatives, and the term "finite difference" is often...
38 KB (5,804 words) - 09:15, 22 August 2024
The Difference Quotient Archived 2005-09-12 at the Wayback Machine University of Birmingham: Dirk Hermans—Divided Differences Mathworld: Divided Difference...
21 KB (4,699 words) - 16:46, 28 May 2024
In mathematical analysis, the mean value theorem for divided differences generalizes the mean value theorem to higher derivatives. For any n + 1 pairwise...
2 KB (323 words) - 10:14, 3 July 2024
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 !...
47 KB (9,012 words) - 13:17, 9 August 2024
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)...
32 KB (5,167 words) - 15:24, 13 July 2024
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...
29 KB (3,476 words) - 13:36, 19 August 2024
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...
9 KB (1,658 words) - 07:02, 22 August 2024