Sentence examples for Pair of problems from inspiring English sources

For Grade and his colleagues, Doctor Who and its producer had become an interlocked pair of problems.

The most common pair of problems is that for reactive processes most systems are: underpumped and the pumping is not uniform.

RECORD FINE Seeking to resolve a pair of problems that had tarnished its reputation and endangered billions in federal contracts, Boeing agreed to pay a record $615 million in penalties to resolve a civil lawsuit and avoid a criminal indictment.

We now prove the following duality results for the pair of problems (HNWP) and (HNWD).

Consider the primal and dual pair of problems (CLFP) and (DCLFP).

(61) Then the primal and dual pair of problems (CLFP) and (DCLFP) have no duality gap.

We call it an optimal pair of Problem ( C x ).

If (Phi (x^{k},lambda ^{k})leq epsilon ) or other suitable termination rule is satisfied, then ((x^{k},lambda^{k})) is an approximate KKT pair of problem (P) and stop; otherwise, generate the working sets (I^{imath }_{k}) and (I_{k}) by (6).

First, we form training instances between every pair of (PROBLEM, TEST and TREATMENT) events in the training documents, labeling an instance with its relation type.

(3) SOC-based explanation about the solutions of the same problems as usual explanation: In addition to the solution of each problem, the differences between problems were explained about eight pairs of problems which had similar surface/physical structures.

In this paper, we consider the following pair of equilibrium problems, called split equilibrium problems: Let F 1 : C × C → R and F 2 : Q × Q → R be nonlinear bifunctions and A : H 1 → H 2 be a bounded linear operator, then the split equilibrium problem (SEP) is to find x ∗ ∈ C such that F 1 ( x ∗, x ) ≥ 0, ∀ x ∈ C, (1.9).