Sentence examples for ensures the uniqueness of from inspiring English sources

This level of detail ensures the uniqueness of chemical records.

The following Corollary ensures the uniqueness of the solutions of (3.25).

From the mathematical point of view α is a relaxation parameter that ensures the uniqueness of the truss network solution.

(ii) To prove part (ii), it is enough to show that s* and S* are solutions to (1.1 - 1.2) since Lemma 2.3 ensures the uniqueness of the solution.

Of course in our theorem we have required the monotonicity of g, but this condition ensures the uniqueness of coupled coincidence point.

To prove part (ii), it is enough to show that s* and S* are solutions to (1.1 - 1.2) since Lemma 2.3 ensures the uniqueness of the solution.

First, our main result in the paper provides conditions that ensure the uniqueness of an MFE.

To ensure the uniqueness of solution an additional equation is added.

It is shown that the multi-model approach is necessary to ensure the uniqueness of the obtained properties.

To ensure the uniqueness of the numerical solution, the composite Helmholtz integral equation proposed by Burton and Miller was adopted.

In order to ensure the uniqueness of a node's address, the paper also proposes the MANET merging and partitioning algorithms.