Sentence examples for boundary using the same from inspiring English sources

Investigate the behaviour of integral curves of (2.29) with respect to the boundary Using the same method as above, we obtain for trajectory derivatives (2.32).

Both experimental and atomistic simulation measurements of grain boundary mobility were made as a function of temperature and boundary misorientation using the same geometry that ensures steady-state, curvature-driven boundary migration.

The models were run with identical inlet and boundary conditions using the same grid resolution; the choice of the specific computational set-up reflects demands for fast-response models, although it may be a sub-optimal choice for the more complex models.

Then, outer boundary is detected using the same operator with different radii and parameters.

The motion contrast across the object boundary is calculated using the same set of sample blocks inside and outside of the object: (10).

Such conditions are simulated within the boundary element model using the same previous columns but with very high value of (1010) for the axial and the rotational stiffnesses in the two directions.

Using the same boundary conditions and spherical grains, the self-consistent model is unable to predict this texture transition and only a copper type texture is obtained.

The rest of permeability tensor elements can be calculated using the same boundary conditions as abovementioned but in other directions.

The rest of permeability tensor elements can be calculated by using the same boundary conditions as abovementioned but in other directions.

In fact, numerical integrations using the same boundary conditions show that the lowest-order Hermite solution that exhibits such an oscillation has (lambda= 3); for (lambdaleq2), the predicted region for oscillation, (|x| < sqrt{2lambda+ 1}), does not host two critical points of the same kind, and we call such solutions nonoscillatory.

Comparing with the open-boundary cylindrical microlenses (OBCMs) designed using the same focal length function, we also find that the designed CBCMs with low f-number exhibit superiority of long focal depth.