Sentence examples for a minimal solution to from inspiring English sources

Given a set-valued optimization problem ( S P − ⪯ ), an element x ¯ ∈ X is called a minimal solution to ( S P − ⪯ ) if ( F ( x ) ⪯ F ( x ¯ )  for some  x ∈ X ) ⟹ F ( x ¯ ) ⪯ F ( x ).

Unfortunately, determining all these interval-valued vectors requires an enumeration of all minimal solutions to a system of 0-1 integer linear inequalities, the number of which could be exponentially large.

A Genetic Algorithm is employed to determine the global minimal solution to the multimodal objective function, which can be difficult to achieve by traditional gradient-directed search methods.

Let (u) be the minimal solution to (2.1) in (L^2(Omega,e^{psi -varphi })).

In Step 2: Compute the minimal solution to the system of equations.

Also, this process does not necessarily lead to a minimal solution σ i ( n i + 1 ) ( X ) Open image in new window (at the (n i + 1 th stages).

Then the sequence ({bar{u}^{ k)}}) converges monotonically from above to a maximal solution (bar{u}_{max}) and ({underline{u}^{ k)}}) converges monotonically from below to a minimal solution (underline{u}_{min}) by the continuity of T (cf. [16]).

We also ran the analyses excluding logical remainders but Tosmana failed to reach a minimal solution.

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

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

We define a minimal solution Y min ∈ [ Y L, Y U ] as a function satisfying the reverse inequalities.