In Numerical Analysis, a [i]spline[/i] S(x) of degree m is a function defined on an interval I = [a, b] which
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[*]coincides with a polynomial of degree m on each subinterval (at each tabular point),
[*]has continuous derivatives through order m-1
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Here, the interpolating function S(x) is a cubic spline through n equally spaced points, and matching the slope of f(x) at the endpoints.
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