The Newton polynomial, also known as the Newton interpolation polynomial, is a form of polynomial interpolation that constructs a polynomial passing through a given set of points. It uses the concept of divided differences to express the polynomial and allows for the efficient computation of polynomial coefficients. The Newton polynomial is particularly useful for interpolating values at new data points, especially when new points are added dynamically, as it does not require recalculating the entire polynomial but can update it incrementally.
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