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...

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

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...

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...

interpolation method, in that both can be derived from the calculation of divided differences. However, there are other methods for computing a Hermite interpolating...

principle of a difference engine is Newton's method of divided differences. If the initial value of a polynomial (and of its finite differences) is calculated...

generalized to more variables according by the mean value theorem for divided differences. The identric mean is a special case of the Stolarsky mean. Mean...

Brahmagupta, A positive or negative number when divided by zero is a fraction with the zero as denominator. Zero divided by a negative or positive number is either...

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...

potential of electrons (Fermi level) divided by the electron charge and commonly referred to as the voltage difference, while the pure unadjusted electrostatic...

mean to n + 1 variables by considering the mean value theorem for divided differences for the nth derivative. One obtains S p ( x 0 , … , x n ) = f ( n...

the interpolating polynomial and the recursion relation for the divided differences. It is similar to Aitken's algorithm (named after Alexander Aitken)...

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 !...

its differences, it tends to give more weight to larger differences and less weight to smaller differences compared to the mean absolute difference. When...

12-way parallel (49 units of work divided by a span of 4) while Algorithm 2 is only 4-way parallel (26 units of work divided by a span of 6). However, Algorithm 2...

politic to dwell openly on the differences between Sunni and Shi'ite Islam. Indeed, merely to cite these differences is regarded by many as part of an...

substantially different psychologies". A cultural divide is the virtual barrier caused by cultural differences, that hinder interactions, and harmonious exchange...

Sex differences in psychology are differences in the mental functions and behaviors of the sexes and are due to a complex interplay of biological, developmental...

as points scored divided by points conceded, and then multiplied by 100. If two or more teams' total points scored and goal differences are both equal,...

typically divided into northern and southern halves by the Equator and into western and eastern halves by the Prime meridian. Hemispheres can be divided geographically...

linguistic differences, and the ensuing theological differences between the Western and Eastern churches. The main theological differences with the Catholic...

find their own answers - and their own way forward - in a world divided by differences. Sectarianism in Glasgow Orange walk Old Firm Children and Young...

the early 20th century, differences in average test performance between racial groups have been observed, though these differences have fluctuated and in...

x_{n+1})}}+\rho _{n-2}(x_{2},\ldots ,x_{n})} Divided differences Weisstein, Eric W. "Reciprocal Difference". MathWorld. Abramowitz, Milton; Irene A. Stegun...

first-order divided difference of f {\displaystyle f} between those two points (it is either a forward-type or backward-type divided difference, depending...

x ] {\displaystyle f[x_{0},\ldots ,x_{k},x]} is the notation for divided differences. Alternatively, the remainder can be expressed as a contour integral...

English grammatical differences American and British English pronunciation differences American and British English spelling differences British and American...