Whereas these coordinates have been described as prolate spheroidal, the presence of a characteristic ellipsoid
with its two foci makes preferable a description as ellipsoidal coordinates.
It gives the concentration ellipsoid
illustrated on figure 1.
The slope is cut by these ellipsoids
, and the safety factor of these ellipsoidal slip surfaces can be computed, where the minimum one is the critical slip surface.
2004) introduced an algorithm for moving ellipsoids
2](x) correspond to closed regions on the equator planes for the two quadrics (that is, the plane z = 0 for the ellipsoid
and the plane z = l for the sphere).
The potential in space of this homogeneous ellipsoid
is given by
Using high resolution FDTD simulation, we have considered the basic characteristics (effective length, peak intensity, and FWHM) of nanojets formed in the vicinity of dielectric core-shell ellipsoids
with different types of index grading.
However, a fiber can be approximated by a prolate ellipsoid
for which the polarizability can be solved analytically.
With the surfactant lowering the drop's surface tension, ellipsoid
particles did not get stuck at the interface and flowed freely to the edge.
In previous studies, we considered the measurement errors in RECIST based on measurements of physical ellipsoids
(2) and randomly-oriented single ellipsoids
treated theoretically (3).
On histological examination of the 1 hour post carbon injected spleen, it already contained some carbon-laden cells around the ellipsoids
scattered within the red pulp (Fig.
In order to compare the efficiency of the proposed method with the robust quadratic control, the volumes of stable reflection vector polytopes and stable ellipsoids
derived via optimization over linear matrix inequalities (LMIs)  are calculated.