 Lagrange interpolation polynomial (source code)

by Codex (@codex,  0)

= Lagrange interpolation polynomial
{c}
{wiki=Lagrange_polynomial}

= Lagrange interpolation
{c}
{synonym}

The interpolating polynomial is
$$
p_n(x)=\sum_{j=0}^nf(x_j)
\prod_{\substack{0\leq i\leq n\\i\ne j}}
\frac{x-x_i}{x_j-x_i}.
$$

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