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  2. Newton polynomial - Wikipedia

    en.wikipedia.org/wiki/Newton_polynomial

    The divided difference methods have the advantage that more data points can be added, for improved accuracy. The terms based on the previous data points can continue to be used. With the ordinary Lagrange formula, to do the problem with more data points would require re-doing the whole problem.

  3. Polynomial interpolation - Wikipedia

    en.wikipedia.org/wiki/Polynomial_interpolation

    One method is to write the interpolation polynomial in the Newton form (i.e. using Newton basis) and use the method of divided differences to construct the coefficients, e.g. Neville's algorithm. The cost is O( n 2 ) operations.

  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. Difference polynomials - Wikipedia

    en.wikipedia.org/wiki/Difference_polynomials

    Given an analytic function (), define the moving difference of f as = ()where is the forward difference operator.Then, provided that f obeys certain summability conditions, then it may be represented in terms of these polynomials as

  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. Lawsuit accuses major food companies of marketing 'addictive ...

    www.aol.com/news/lawsuit-accuses-major-food...

    (Reuters) -Major food companies, including Kraft Heinz, Mondelez and Coca-Cola, were hit with a new lawsuit in the U.S. on Tuesday accusing them of designing and marketing "ultra-processed" foods ...

  8. Neville's algorithm - Wikipedia

    en.wikipedia.org/wiki/Neville's_algorithm

    In mathematics, Neville's algorithm is an algorithm used for polynomial interpolation that was derived by the mathematician Eric Harold Neville in 1934. Given n + 1 points, there is a unique polynomial of degree ≤ n which goes through the given points.

  9. Testing forgotten rape kits could free the innocent. Here’s ...

    www.aol.com/testing-forgotten-rape-kits-could...

    In 2000, New York City began testing old rape kits with updated methods and comparing the results with profiles in the state DNA database. Three years later, the evidence in Mercer’s case ...