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 ...

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 ...

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, ...