interpolation

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Polynomial interpolationThe six points (x1, y1), (x2, y2), and so forth, represent values of an unknown function. A third-degree polynomial has been constructed so that four of its values match four of the values of the unknown function. Other third-degree polynomials could be made to match other sets of four values of the unknown function, or a polynomial of at most degree five could be found to match all six points.

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Polynomial interpolationThe six points (x1, y1), (x2, y2), and so forth, represent values of an unknown function. A third-degree polynomial has been constructed so that four of its values match four of the values of the unknown function. Other third-degree polynomials could be made to match other sets of four values of the unknown function, or a polynomial of at most degree five could be found to match all six points.

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polynomial interpolation Newton’s interpolation formula mathematics proof permutations and combinations differentiation integration mapping analysis probability theory cryptology computer science combinatorics

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