Sentence examples for necessary for the validity from inspiring English sources

It is, for example, settled in both South Africa and Sri Lanka that "consideration" is not necessary for the validity of a contract.

Both canons presently in use (that of St. Basil and that of St. John Chrysostom) include the "words of institution" ("This is my Body" and "This is my Blood"), which are traditionally considered in the West as the formula necessary for the validity of the sacrament.

These results are straightforward, but necessary for the validity and optimization of the algorithms and scripts used in this paper.

Consequently, (3.1) holds provided that A < ∞ and c ≤ A. Next we prove that condition (3.4) is also necessary for the validity of inequality (3.1).

Consequently, inequality (3.2) holds provided that D < ∞ and c ≲ D. Next we prove that condition (3.21) is also necessary for the validity of inequality (3.2).

These extensions, which are necessary for the validity of our mathematical results, render nevertheless the model more biologically plausible (see Section 9).

Further experiments determining the in vivo cellular response to various perturbations will be necessary for checking the validity of the model and also for model refinement.

The identification of reliable activation in these well-established reading-related regions (middle and superior temporal regions) is an important manipulation check, which is necessary for demonstrating the validity of the fixation-related fMRI approach for reading research.

Clear evidence of the validity of the versions for the Czech Republic, Poland and Serbia is also presented although more evidence is necessary of the validity of the Slovakian adaptation.

First, the relationship between WTP to recover a perfect health condition and perceived health condition was evaluated, since these conditions have been proposed to be necessary for estimating the validity of the model [ 2].

Therefore, a necessary condition for the validity of (6.3) is (varepsilon le p(c_{L})).