Definition: Complete response catalogue

For a response problem on a domain $\mathcal{B}$, a list $n_1,\dots ,n_L$ is complete when:

1. every allowed response change is ${\sum }_{\ell }{c}_{\ell }{n}_{\ell }$, with coefficients constant on $\mathcal{B}$;

2. every listed direction is allowed, or the permitted coefficient subspace $W\subseteq {\mathbb{R}}^L$ is explicitly named;

3. all admitted representative variations are covered, either by those combinations or by a proof that they are response-null under the same evaluation prescription.

If a proper $W$ is declared, the allowed image is $N_{S}W$, not automatically the span of all columns.