Sentence examples for excludes the case from inspiring English sources

This statement excludes the case (8).

The second equation of (14) excludes the case with (bar{z}_{i} = 0).

The second equation of (14) excludes the case with (bar{z}_{M} = 0).

We note that the choice of (ρ n ) excludes the case whenever ρ n ∈ (1,2), the overrelaxation.

Then (3.94) leads to a contradiction and excludes the case that the maximum of (v-Phi ) occurs at ((B_Rbackslash B_rho )cap partial Omega ).

The reason for that is that our definition of a link specifically excludes the case of a trivial link that can be deduced directly from the ontology, or from the fact that genes have multiple annotations.

Step 3. In the following, we exclude the case (b).

Step 2. We first exclude the case (a).

Thus, for the remainder of the proof we exclude the case (p=frac{1}{2}).

Note that we do not exclude the case of (u_{n} = t).

Note that the assumption σ : N → N does not exclude the case of equations with delayed argument.