Sentence examples for through the equivalence from inspiring English sources

This property is shared by (E t)) through the equivalence.

For the FP case, these are obtained through the equivalence to a slinky-coil described above, and then by interpolation.

The important assumption we are making is that the marginal utility of consumption is affected by children only through the equivalence scale.

Our examinations show that the source volume change of a spherical source (S1) (actual volume) can be uniquely determined from the seismic moment of an isotropic source (S3) regardless of our assumption of the source medium and that the actual volume of S1 is related to the seismic moment of S3 through the equivalence of the displacement fields due to these two sources.

To provide more enlightened statistical statements about the resulting estimates, the homogeneity assumption of regression slopes across quantiles is formally assessed through the equivalence test (Koenker 2005), where the null hypothesis is that the distinct parameter estimates are the same at the different conditional quantiles.

Nevertheless, in the absence of specific information about non tumour cells (at each time and for each patient) we assumed proportionality between N and V, through the equivalence 1 cm3 = 109 tumour cells.

In turn, Restriction i enables through Lemma 3 below the equivalence between (25), once deleted its underlined part, and condition (11).

Basically, we will present a formal derivation of the equivalence through a somewhat different formulation from the one of García-Cortés and Toro [ 10].

Extinction measurements of tubular flames can be carried out through the entire equivalence ratio spectrum for various types of fuels without introducing serious turbulent effects.

The transverse shear correction factor is evaluated through the energy equivalence and the geometric nonlinearity is accounted for von Kármán strain for dealing with small strain and moderate rotation.

Up through the half equivalence point, Pb NO3 2·Pb(OH)2 predominates, then after this point Pb NO3 2·5Pb(OH)2 is formed.