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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. 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.

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. Mean value theorem (divided differences) - Wikipedia

   en.wikipedia.org/wiki/Mean_value_theorem...

   Let be the Lagrange interpolation polynomial for f at x 0, ..., x n.Then it follows from the Newton form of that the highest order term of is [, …,].. Let be the remainder of the interpolation, defined by =.

6. Polynomial interpolation - Wikipedia

   en.wikipedia.org/wiki/Polynomial_interpolation

   Since the relationship between divided differences and backward differences is given as: [citation needed] [,, …,] =! (), taking = (), if the representation of x in the previous sections was instead taken to be = +, the Newton backward interpolation formula is expressed as: () = (+) = = () (). which is the interpolation of all points before .

7. Angelina Jolie Gets Asked 'the Most Insane Question.' Here's ...

   www.aol.com/angelina-jolie-gets-asked-most...

   Angelina Jolie balked at a question regarding whether there should be a biopic about her life.. When Jolie, 49, and her Maria director Pablo Larraín spoke with the U.K.'s The Times to promote ...