Algebraic computations in differential geometry have usually a strong “analytic” side, and symbolic formula crunching is heavily used, even if at the end, the user needs only numbers, or graphic visualization. We show how to implement in a simple way the domain of differential forms with the p-vector algebra, Hodge “star” operator, and the differentiation. There is no explicit symbolic manipula...

A discrete symmetry of a preference relation is a mapping from the domain of choice to itself under which preference comparisons are invariant; a continuous symmetry is a one-parameter family of such transformations that includes the identity; and a symmetry field is a vector field whose trajectories generate a continuous symmetry. Any continuous symmetry of a preference relation implies that i...

Density functional theory (DFT) calculations were performed to investigate the properties of planar, tubular and conical forms of silicon nanostructures. The evaluated parameters including averaged bond lengths, binding energies, gap energies and dipole moments were then evaluated for the optimized models of study. The results indicated that the bond lengths between silicon atoms are different ...

Density functional theory (DFT) calculations were performed to investigate the properties of planar, tubular and conical forms of silicon nanostructures. The evaluated parameters including averaged bond lengths, binding energies, gap energies and dipole moments were then evaluated for the optimized models of study. The results indicated that the bond lengths between silicon atoms are different ...

OBJECTIVE To investigate the use of concepts of capacity and performance when assessing functioning of stroke survivors, measured with the Functional Independence Measure (FIM) and the International Classification of Functioning, Disability and Health (ICF). METHODS During an inpatient interdisciplinary rehabilitation programme for 62 subacute stroke survivors, limitations in speaking, walkin...