The importance of using gauge-covariant expressions is underlined throughout.
2
The combinatorial invariant and covariant are introduced as practical tools for analysis of conical intersections in molecules.
3
The doses of calcium carbonate and the levels of plasma alkaline phosphatase were not at all covariant.
4
Statistical methods probed for strain and sex effects, with covariant analysis by body weight, length, and body mass.
5
Plasma concentrations of calcium, phosphate and glucose were covariant with the extension of calcinosis only at a borderline level.
6
Importantly, we have found that the sequence positions corresponding to the Ser and Tyr ligands are almost completely covariant among Group I nitrogenases.
7
Neither was significant after adjusting for multiple covariants.
8
Results: Covariant perfusion principal components (PCs) were not associated with either FC or cognitive or attentional measures in AD.
9
We generalize the concept to open paths and combinatorial covariants for higher dimensions obtaining a technique for the construction of the gauge-covariant adiabatic-diabatic transformation matrix.