Sentence examples for to ensure uniqueness from inspiring English sources

Remark 4.1 To ensure uniqueness of the fixed point, we can strengthen condition (3.1) as follows.

The computational domain is divided into nonoverlapping subdomains with Sommerfeld-type conditions on the adjacent subdomain boundaries to ensure uniqueness.

This attribute may be what distinguishes the occurrence from any other; thus, it must be defined as part of the occurrence key to ensure uniqueness.

In the process of designing a tensegrity system, some constraints are usually introduced for geometry and/or forces to ensure uniqueness of the solution, because the tensegrity systems are underdetermined in most cases.

An additional constraint (e.g., as in our case, ) is imposed in order to ensure uniqueness of the solution, as suggested in [28] for so-called linear equality-constrained least squares (LSE) fitting methods.

Since {y n } was generated as in (1), any L out of N + 1 vectors { h n } n = 0 N are linearly independent almost surely, which means that Proposition 3 can be invoked to ensure uniqueness of the group Lasso TV-AR model estimate.

Criteria previously developed for non-isothermal reactions are applied to this case to develop analytic conditions which ensure uniqueness of steady states.

Unlike paper-based systems, biometrics can reliably ensure uniqueness (have you already registered to vote?), authenticate transactions (are you the owner of this debit card?), and help create an auditable trail (did you already receive payment this month?).

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

To ensure the uniqueness of the fixed point, we shall consider the following hypothesis.

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