Sentence examples for explicitly for the case from inspiring English sources

All steps are carried out explicitly for the case of a perfect gas; the details of the distribution functions disappear in the final code.

Transformation to normal forms and derivation of conditions defining lowest-order singularities are carried out explicitly for the case of a single autocatalytic reaction.

A general closed form expression is then derived for the localization factor of a weakly disordered undamped system; this expression is evaluated explicitly for the case of either bay length disorder or disorder in the inter-bay junction properties.

In the following, we will calculate them explicitly for the case study described in Section 2.3.

This level of detail is omitted here because it does not influence the arguments made in this section; in Sources of noise section, we will, however, treat all of these processes explicitly for the case of a single gene regulated by a single transcription factor.

In this paper, the influence of heterogeneity is explicitly analyzed for the case of the adsorption of molecular hydrogen onto nanoporous carbon.

The final convergence states are shown explicitly for this case.

The solution of (3.7) can also be described explicitly for the corresponding cases; see [3, 4].

While Jacobs did not explicitly make the case for the environmental benefits of density – this was 1961 – it was implicit in what she said.

My new book on Islamist terror, Celsius 7/7 - which she dismisses as "paranoid" - explicitly makes the case for improved engagement with those moderate Muslims who I believe represent the majority.

Aghdashloo narrates the film as Soraya's aunt, and explicitly pleads the case for curiosity from abroad when, unable to communicate all she has seen, she tells Sahebjam: "I want you to take my voice with you".