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2. Newton polynomial - Wikipedia

   en.wikipedia.org/wiki/Newton_polynomial

   Taking = for some unknown function in Newton divided difference formulas, if the representation of x in the previous sections was instead taken to be = +, in terms of forward differences, the Newton forward interpolation formula is expressed as: () = (+) = = () whereas for the same in terms of backward differences, the Newton backward ...

3. Neville's algorithm - Wikipedia

   en.wikipedia.org/wiki/Neville's_algorithm

   Given n + 1 points, there is a unique polynomial of degree ≤ n which goes through the given points. Neville's algorithm evaluates this polynomial. Neville's algorithm evaluates this polynomial. Neville's algorithm is based on the Newton form of the interpolating polynomial and the recursion relation for the divided differences .

4. Divided differences - Wikipedia

   en.wikipedia.org/wiki/Divided_differences

   In mathematics, divided differences is an algorithm, historically used for computing tables of logarithms and trigonometric functions. [citation needed] Charles Babbage's difference engine, an early mechanical calculator, was designed to use this algorithm in its operation. [1] Divided differences is a recursive division process.

5. Polynomial interpolation - Wikipedia

   en.wikipedia.org/wiki/Polynomial_interpolation

   For example, given a = f(x) = a 0 x 0 + a 1 x 1 + ··· and b = g(x) = b 0 x 0 + b 1 x 1 + ···, the product ab is a specific value of W(x) = f(x)g(x). One may easily find points along W ( x ) at small values of x , and interpolation based on those points will yield the terms of W ( x ) and the specific product ab .

6. Numerical differentiation - Wikipedia

   en.wikipedia.org/wiki/Numerical_differentiation

   This expression is Newton's difference quotient (also known as a first-order divided difference). The slope of this secant line differs from the slope of the tangent line by an amount that is approximately proportional to h. As h approaches zero, the slope of the secant line approaches the slope of the tangent line.

7. Steve Guttenberg Goes Unrecognized as He Comes to the Rescue ...

   www.aol.com/steve-guttenberg-goes-unrecognized...

   The flames first began around 10:30 a.m. local time on Tuesday, Jan. 7, southeast of Palisades Drive, the California Department of Forestry and Fire Protection said, and it has grown to cover over ...