Sentence examples for the equivalent problem from inspiring English sources

To obtain the formally correct solution of the original problem, then, geometers reversed the procedure: first the data were used to solve the equivalent problem derived in the analysis, and, from the solution obtained, the original problem was then solved.

Moreover, he discussed descent methods for solving the equivalent problem (see Lemma 5 in Section 2).

The next section describes the equivalent problem and its decomposition technique.

System (7) originates from the equivalent problem obtained by (5) after squaring the cost function.

We fix w ∈ ℜ m and consider the equivalent problem: ( P ¯ ) min f ( x ) s.t.

So the equation has at least one solution, and therefore the equivalent problem (3.37).

The instructional format either emphasized worked examples, which needed to be studied or the equivalent problems, which needed to be solved.

The formulation is designed to be structurally similar to the equivalent problems defined by Ahuja and Orlin and can be solved exactly with a cutting plane algorithm.

Since both problems (14) and (15) can be reduced to convex problems, their solutiona can be found imposing the KKT conditions to the equivalent problems ([26], pp. 243 244) and [28].

In this section, we apply the Ritz-Galerkin method to the second equivalent problem (2.21 - 2.26) in Section 2.

Once the convex equivalent problem is formed, a wide variety of convex minimization algorithms can be applied.