Sentence examples for formulas are valid from inspiring English sources

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

The stress integration is performed under constant strain-rate assumption and the derived formulas are valid in the setting of small strain elastoplasticity theory.

The experimental results show that the current design formulas are valid for anchors in conventional plain concrete but not appropriate for the shear capacity of anchors in SFRC.

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.

The formulae are valid for two layers of randomly placed cubes, ranges of head diameter, slope, cube mass density and wave steepness.

Moreover, the corresponding approximate sample size formulae are valid asymptotically in the sense that the exact powers associated with the approximate sample size formulae are generally close to the prespecified power level.

Steady state measured discharges are first analysed considering the relationship between the energy heads from the sewer flow and the floodplain flow; these results show that existing weir and orifice formulae are valid for describing the flow exchange for the present physical model, and yield new calibrated discharge coefficients for each of the flow conditions.

The results of a series of measurements of the bulk acoustic properties of 12 geometrically similar, fully reticulated, polyurethane foams are presented, and empirical curve-fitting coefficients are found; the curve-fitting formulae are valid within the experimental range of values of the frequency parameter.

These formulae are valid unless e>0.2.

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

Moreover, the i dependence in these formulae are valid for i<H a)/a (see Figure 2).