Sentence examples for geometric conditions from inspiring English sources

The effect of prism's geometrical structure on the beam divergence is also investigated and the optimum geometric conditions are reported.

Step 2. Geometric conditions.

In view of Lemma 3.1, the geometric conditions in the mountain pass theorem are fulfilled.

Moreover, geometric conditions and some important characterizations involving the Schwarzian derivative are also given.

The presented method relies on the possibility of giving geometric conditions for any type of singularity.

Under some geometric conditions, the system is transformed into two different subsystems.

The algorithm is designed specifically for river systems with complicated geometric conditions.

A number of explicit geometric conditions are given for the existence of singularities.

In particular, geometric conditions on underlying spaces play a crucial role for finding solution of metric fixed point problems.

The rest of the section consists of showing that the above mentioned geometric conditions lead to such gap.

We deduce necessary and sufficient geometric conditions, both expressed in terms of certain maximal functions.