This is a preview. Log in through your library . Abstract The minimum chi-squared test is obtained for testing the hypothesis that the smallest r eigenvalues of an m × m correlation matrix are equal, ...

The spectrum of a selfadjoint, C∞ linear elliptic partial differential operator on a compact manifold contains only isolated eigenvalues, each having finite multiplicity. It is sometimes the case that ...

In chemistry, the properties of atoms and molecules can be determined by solving the Schrödinger equation. However, because the dimension of the problem grows exponentially with the size of the ...