Sentence examples for angular symmetry from inspiring English sources

This process is modeled as radial convection and axial diffusion with angular symmetry in cylindrical coordinates.

The hours spent achieving the flawless line were joyously rewarded by the head shake which instantly returned any displaced hair to glossy angular symmetry.

This heterogeneous catalytic rotational reactor is modeled via radial convection and axial diffusion with angular symmetry in cylindrical coordinates.

In [13], these higher modes are TM modes with only radial variations due to the angular symmetry.

First we consider the case of Au NCs in SiO2: from Fig. 4a, it is clear that the peaks and valleys in the γup and γdown lie in identical angular position (angular symmetry of γ and assume identical values.

However, differently from the NCs in SiO2, for sizes relative to the group 2, the angular symmetry of γ is still conserved, but the radial one begins to be lost (, i.e. f ij is invariant for rotational transformation but not for the translational ones.

Bilateral symmetry consists of matching symmetry and object symmetry.

Topics include the concept of Hilbert Spaces, Schrodinger and Heisenberg Representations, Bound State problems in one, two and three dimensions, consequences of symmetry, Angular momentum algebra, Approximation methods for stationary states, Many-body systems, Quantum statistics, Time dependent Perturbation Theory, Second Quantization and Electromagnetic Fields.

Both the angular and radial symmetry of γ are conserved with increasing the cluster size in the cases of NCs in SiO2, as it is evident from the comparison of Fig. 4a, b and c.

Growing NCs in a "non-isotropic" environment exhibit a γ that lost its angular and radial symmetry for sufficiently large sizes determining the loss of the rotationally and translationally invariance of thef ij and, as a consequence, a loss of symmetry in the equilibrium shape of the NC and the formation of internal defects.

Growing NCs in a 'non-isotropic' environment (Au on SiO2) exhibit a surface energy γ 0, that lost its angular and radial symmetry for sufficiently large sizes, determining the loss of the rotational and translational invariance of the f ij and, as a consequence, a loss of symmetry in the equilibrium shape of the NC and the formation of internal defects.