Interpolation is a mathematical method for constructing a function from a discrete set of data points. The interpolation function, or interpolant, should exactly coincide with the given data points, and it can also be evaluated for other intermediate input values within the sampled range. There are many applications of interpolation: A typical use-case that provides an intuitive picture is the plotting of a smooth curve through a given set of data points. Another use-case is to approximate complicated functions, which, for example, could be computationally demanding to evaluate. In ...
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