Weighted Vandermonde determinant
= Weighted Vandermonde determinant
{title2=$\det[\sqrt{w(x_i)}\,p_{j-1}(x_i)]$}
For a nonnegative weight $w$ and <monic polynomials> $p_j$ of degree $j$, this <determinant> is $\prod_i\sqrt{w(x_i)}\prod_{i<j}(x_j-x_i)$. Its square is the product of the weights times the squared <Vandermonde determinant>. For normalized weighted <polynomials> it differs by the product of their norm factors.