Sentence examples for derivations applied from inspiring English sources

Since the main difference between the ZF and the MSE concerns the definition of the target points, the whole derivations applied for ZF criterion can be straightforwardly used for MSE until (38).

The same derivations apply to a double applicative as well.

Once again, entirely analogous derivations apply to the non-signal component (u_{t|infty }^{K}).

The exchangeability of signal and non-signal implies that mutatis mutandis exactly the same derivations apply to tests of neglected serial correlation in (u_{t}).

Entirely analogous derivations apply to the non-signal component (u_{t}), with the peculiarity that begin{aligned} x_{t|infty }^{K}+u_{t|infty }^{K}=y_{t} end{aligned}so that begin{aligned} R_{xx}^{2}(lambda )+R_{uu}^{2}(lambda )=1quad forall lambda.

The following derivations apply only to ideal solid surfaces; they are only valid for the state in which the interfaces are not moving and the phase boundary line exists in equilibrium.

Our analytical derivations apply to power for tests with the univariate approach to repeated measures (UNIREP).

As Gorsuch [ 29] indicated (p. 296), all the factor-analytic derivations apply to phi, "Factoring such coefficients is quite legitimate.

Similar derivation applied to the other differential equation in the model BVP produces the following equations: (7) (8).

Our results show the utility of combining focused small molecule derivation, applied to a biological screen using the zebrafish model, to identify new compounds with desired target activity and specificity.

The derivation applies to any numerical algorithm which conserves phase-space volume.