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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.
Criteria previously developed for non-isothermal reactions are applied to this case to develop analytic conditions which ensure uniqueness of steady states.
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.
Thus, we also assume: The CPN does not contain any void reaction, i.e.,
