Sentence examples for qualification holds from inspiring English sources

For the problem (P), assume that the generalized Slater constraint qualification holds.

If the Slater-type weak constraint qualification holds at x̅, then α* ≠ 0. Proof.

Also, the objective function and constraints in the corresponding perturbed NLP problem are differentiable; a linear independent constraint qualification holds at every feasible point.

We know from [4], Theorem 4.32 that M defined in Proposition 2.2 is Lipschitz-like around ((0,bar{z})inoperatorname{gph} M) if the following constraint qualification holds: left.

Therefore, under the assumption that the generalized Guignard constraint qualification holds and (f_{i}(x)), (iin P), are strictly differentiable at x̄, (3.1) has no solution (zinmathbb{R}^{n}).

As the linear independence constraint qualification holds at any feasible solution of ((mathrm{P}_{mu})), we see that if there exists (bar{lambda}) such that the above KKT condition holds, then (bar {lambda}) is unique.

In the Spanish Labour Force Survey I exploit the variable (estud) which indicates the highest qualification held by the interviewer.

In the first panel, we define individuals as being underqualified, perfectly qualified and overqualified by comparing their qualification level to the modal qualification held by a NZ-born individual of the same gender employed in the same occupation in the year of observation.

Section 2 asked questions specific to participants prescribing background including prescribing qualification held, number of years qualified as a prescriber, number of years' experience in main area of prescribing practice prior to undertaking the prescribing programme, specialist training prior to becoming a prescriber.

60% of those educated to degree level saw the benefits of immigration to the economy, while just 17% of those wit no qualifications held the same view.

The DfE said the survey showed a rise in the quality of academic qualifications held by teaching staff, with 96% of teachers in state schools educated to degree level or above.