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## Interpolation polynomial in Lagrange Form |

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Values at distinct points can be interpolated with a unique polynomial of degree :

The polynomials are referred to as Lagrange polynomials. They are equal to at and vanish at all other points :

The Lagrange polynomials satisfy

To show uniqueness, we assume that is another interpolating polynomial and consider the difference

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automatisch erstellt am 14. 6. 2016 |