Vandermonde matrix

In this post, we will compute a classical determinant called the Vandermonde determinant. Though the computation of this determinant looks intractable at first, there turns out to be a beautiful formula for it, with a very neat proof. Somewhat surprisingly, the matrices involved and this result are related to the notion of Lagrange interpolating polynomials. … Continue reading Vandermonde matrix

Asymptotic comparison – III

This is the third post regarding the notion of asymptotic comparison. The first one dealt with equivalents, the rigorous way of saying "these two things look alike", while the second post was about little o, meaning "this thing is much smaller than this other one". Naturally, where there is a little o, there should be … Continue reading Asymptotic comparison – III