Abstract The purpose of this paper is to propose a sheaf theoretic approach to the theory of quantum principal bundles over non affine bases. We study noncommutative principal bundles corresponding to , where G is a semisimple group and P a parabolic subgroup. ...
An atom is in a state in which its multiplicity is 3 and a total mechanical momentum is h cut square root 20. What values can a corresponding quantum number L have? The ground state electronic configuration of a neon atom is 1s^2\ 2s...
An alternative is to use power transformations such as square-root transformation [36,38], which avoids zero replacement and puts the data onto the unit sphere to enable manifold-based PCA. However, these PCA approaches may compromise interpretation of the data in terms of individual taxon and ...
separations Article HPLC-UV Polyphenolic Profiles in the Classification of Olive Oils and Other Vegetable Oils via Principal Component Analysis Mireia Farrés-Cebrián 1, Raquel Seró 1, Javier Saurina 1,2 and Oscar Núñez 1,2,3,* 1 Department of Chemical Engineering and Analytical Chemistry, ...