Sentence examples for missing orientations from inspiring English sources

In the following, we use different values of the parameters (F_{alpha beta }) and (I_{alpha beta },) and analyze both well-defined equilibrium shapes and numerical equilibrium shapes for anisotropies with missing orientations.

As mentioned in the previous paragraph, for the anisotropy parameter (I_{alpha beta }>2), the corresponding phase-field evolution Eq. (5) becomes ill-posed, because of the presence of missing orientations.

Considering conditions of strong anisotropies ((F_{alpha beta }=0.45)) with missing orientations, the final shapes significantly vary from the desired equilibrium shape in both the classical and the natural model.

On the other hand, for a non-convex Frank plot, the equilibrium shape consists of the so-called "ears", due to the missing orientations with (sigma (theta )+sigma "(theta )<0), which do not belong to the convex hull.

When the surface energy anisotropy is sufficiently strong, there are missing orientations in the equilibrium level curves of the diffuse interface solutions, corresponding to those missing from the sharp interface Wulff shape, and the anisotropic Cahn Hilliard equation becomes ill-posed.

(9) and  (10), in the cases with (F_{alpha beta }ge 1/15) and (I_{alpha beta }ge 2), the surface stiffness becomes negative, and the corresponding Wulff shape with "ears" belongs to these missing orientations.

We treated 'unspecified' and missing orientation as non-vocational, i.e. merged it with the general category, based on the theoretical argument that vocational programs will put less emphasis on the development of basic competencies.

We also dichotomized 3 outcome measures: a) irritability [high (score 7 9) vs. normal (score 4 6); only 13 subjects scored < 4]; b) missing orientation data (missing data on all orientation items vs. data on one or more item); and c) failure to recover from the birth experience (failure to advance to a better score from the birth exam to the 2-week exam).

There was less evidence for increased risk of never being in the appropriate state to respond to orientation (missing data for all orientation items) across quartiles of cord serum PCBs, TEQ, and DDE.

The reconstructed density shows some distortion in the direction normal to the plane of the preferred particle orientation, due to the missing data for orientations at >45° tilt.

But most of all, I missed the orientation that came with experiencing myself as distinctly -- exhilaratingly, uncomfortably -- singular.