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...

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

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

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

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...

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...

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...

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)...

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

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 !...

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...

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...

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

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...

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...

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

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...

the Delmar Loop. Delmar Blvd. is referred to as a “divide” in reference to the dramatic difference in racial populations in the neighborhoods to its immediate...

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

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,...

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

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...

finite-difference methods (FDM) are a class of numerical techniques for solving differential equations by approximating derivatives with finite differences....

Due to differences often arising between the planning and implementation stages for infrastructure in India, the list has been now divided into currently...

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

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

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

{f(x+h)-f(x)}{h}}.} This expression is Newton's difference quotient (also known as a first-order divided difference). The slope of this secant line differs from...