Sentence examples for a minimal solution is from inspiring English sources

A minimal solution is the one that minimizes the summed changes of the 5 variables.

In [6], a minimal solution is obtained for the stochastic heat equation driven by non-negative Lévy noise with coefficients of polynomial growth.

We discuss the case of a maximal solution only, as the case of a minimal solution is similar and can be obtained with the same arguments with appropriate modifications.

A minimal solution is shown in Fig.  4.

It is obvious that this minimal solution is a global solution, since the particle always travels inertially.

We have proved that the minimal solution is unique; see the Appendix.

In this case, the associated Riccati equation is of the form (24). and its minimal solution is, where is the smaller of (the two real) roots of (2.3).

We discuss the case of maximal solution only, as the case of minimal solution is similar and can be obtained with the same arguments with appropriate modifications.

If η ̄ n > 0 the minimal solution is y n ( 1 ) and y n ( 2 ) is dominant, and therefore lim n → + ∞ y n ( 1 ) / y n ( 2 ) = 0 If η n < 0 the roles are reversed.

When only some maximal or minimal solution is sought, one could relax this condition to weak monotonicity, but when all optimal solutions, or even near-optimals are desired, monotonicity must be strict [ 31].

It is guaranteed that a minimal solution exist, consisting of prime compatibles only.