Due to the axial symmetry
of the field, the magnetic moment vector [??] of the core under consideration has only an axial projection in cylindrical coordinates
Zero vector potential boundary condition was applied to the symmetry part of the boundary for the case of axial symmetry
. For magnetic flux density, two magnetization directions, perpendicular to the flow direction and aligned with the flow direction, were considered (see Figure 1).
The displacement of the donor from the center of the circular QR breaks the system axial symmetry
of the structure and provides the localization of the lowest rotational state, manifested in removing of the periodic degeneration of two lowest levels and in a substantial increase of the nonvanishing gap between them as the distance from the position of the donor to the center is increased.
Here [[partial derivative].sub.[phi]] is a spacelike Killing vector fields, the generator of axial symmetry
along the cylinder whose orbit is closed.
In her introduction and conclusion she briefly identifies common features of their respective religious-art practices, such as constructing temples modeled after imperial palaces, with tiled-roof buildings inside walled enclosures organized according to principles of axial symmetry
It is worth mentioning that mathematical symmetry includes axial symmetry
. Thus, a 2D image can be represented as vector where the same permutations of the same color pixel are applied without changing the original image.
Since the model had an axial symmetry
, a 2D axisymmetric model was used to minimize computing time.
Some of the bent microvilli were found cut, showing their axial symmetry
(Figure 1(b), red arrow).
at r = 0 [partial derivative][C.sub.TCA-upstream]/[partial derivative]r = 0 (Axial symmetry
methods based on the sample periodogram for data collected on a rectangular lattice are also considered and shown to perform well in Scaccia and Martin .
We choose to implement such a model rather than using a standard mode solver because the latter cannot be easily configured to fully exploit the axial symmetry
of the problem and they experience some problems when dealing with WGMs.