Sentence examples for solutions sequence from inspiring English sources

In fact, suppose that there exists a positive solutions sequence of (1.1) and such that as.

In Theorem A, we obtain the convergent subsequence of an approximate solutions sequence of approximate problems and the limit belongs to the set of solutions of objective functions.

We say that a weak solutions sequence { u n } ⊂ E for the problem (1.1) is a sequence of high energy solutions if the energy I ( u n ) → + ∞ as n → ∞.

To address solution lengths, we considered the lengths of "solutions:" sequences of interventions required to complete the solution (or non-solution) of an individual virtual patient in the mechanical ventilation data.

Given two permutations π and π T, the enumeration of all solutions (sequences) that sort π into π T can be done by iterating an algorithm given by Siepel (2003).

It is clear that any (generalized) type II LP approximating solution sequence is a (generalized) type I LP approximating solution sequence.

The complex eigenvalue analyses of underwater structure are obtained by NASTRAN solution sequence SOL107.

By finite iterations of the solution sequence, a suboptimal tracking control law is obtained.

(ii) It is clear that any (generalized) type II LP approximating solution sequence is a (generalized) type I LP approximating solution sequence.

Furthermore, when the solution sequence has a nonzero first term, it satisfies two adjoint linear recursive equations; this usually shows several new features of the solution sequence.

The following lemma establishes some relationship between LP approximating solution sequence and LP minimizing sequence.