Sentence examples for auxiliary problem from inspiring English sources

We consider the following auxiliary problem: (5.4).

We now investigate the auxiliary problem (5.21).

Let us consider the auxiliary problem.

Then, an asymptotic form for this auxiliary problem is extracted.

(ii) At step, solve the auxiliary problem (3.1) with.

At step, solve the auxiliary problem (3.1) with.

In this case we consider the auxiliary problem.

Let denote the solution of the auxiliary problem (3.1).

Then the auxiliary problem (3.1) has a unique solution in.

That is, is a solution of the auxiliary problem (3.1).

One formulation of the auxiliary problem is as follows.