Sentence examples for minimizing problem from inspiring English sources

If M is a C 1 manifold, we can make use of the differential structure of M to reduce the problem of finding a ground state for (NLS) into that of looking for a minimizer of Φ | M and solve the minimizing problem.

From the statement in Section 3, it suffices to solve the minimizing problem.

The solution to the above minimizing problem could be given by the following theorems.

Consider Theorem 2, controller K as matrices (28), (29), (30), (31) could render the minimizing problem (13) satisfied if (32).

Theorem 3 The controller K is given as following matrices could render the minimizing problem (13) satisfied, (28).

Let be a positive, bounded function with ; then the minimizing problem of energy functional in (18) admits a unique solution satisfying (30).

Besides, the relations between (G TWPness for GVQEPs and that for constrained minimizing problems are exhibited.

Finally, we also argue that our approach can help in minimizing problems regarding new items.

The metric characterizations and/or sufficient criteria of the proposed well-posedness are presented, and the relations between (generalized) Tykhonov well-posedness for generalized vector quasi-equilibrium problems and that for constrained minimizing problems are discussed.

The metric characterizations and sufficient criteria of (generalized) Tykhonov well-posedness, (G TWPness for brevity, for GVQEPs are presented by applying Kuratowski noncompactness measure, and the relations between (G TWPness for GVQEPs and that for constrained minimizing problems are exhibited in Section 2.

This release likely allows an appropriate cellular response: freeing enough histones to kill bacteria, but minimizing problems (Gunjan and Verreault, 2003) of excess free histones interfering with endogenous cellular processes.