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 ...

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, ...

Let ${\mathrm{Z}}_{{\mathrm{M}}_{1}\times \mathrm{N}}={\mathrm{T}}^{\frac{1}{2}}\mathrm{X}$ where (T½)2 = T is a positive definite matrix and X consists of ...