Sentence examples for formula is valid from inspiring English sources

The following formula is valid [18, 19].

Assuming that the formula is valid for, we get (B21).

The challenger of such a claim is thus committed to defend that the formula is valid.

The formula is valid for arbitrary crystallographic textures and isotropic two-point statistics.

We note that this formula is valid if (sigma _{0}<C_{N_{w}}phantom {dot {i}!}).

This formula is valid in a time-averaged sense for ω > 0.

However, this empirical formula was valid only for water-Al2O3 nanofluid.

Those who wish to retain (2) may be consoled by the following observation: though substitutivity salve veritate of co-extensive open formulas fails for nearly all free logics, a related but weaker principle, the substitutivity salve veritate of co-comprehensive open formulas, is valid for positive free logics.

These formulae are valid unless e>0.2.

Their formulae are valid in the early stage of planet formation.

These explicit formulas are valid for most practical problems, thus providing a useful reference for engineering applications.