Sentence examples for derived as below from inspiring English sources
Assuming that all the carriers diffuse along the radial direction, namely, minority-carrier diffusion in the vertical direction is negligible [17], the steady-state Eq. (1) can be then derived as below, {D}_hfrac{partial^2varDelta h(r)}{partial {r}^2}-frac{varDelta h}{tau_h}+{g}_h=0, (2).
Consequently, the CSE of the core is derived as below, {mathrm{CSE}}_C r)=frac{ cosh left(frac{r}{L_C}right)}{ cosh left(frac{R_C}{L_C}right)}=frac{ cosh left(frac{r}{L_C}right)}{ cosh left({k}_Cright)},kern0.5em 0le r<{R}_C.
According to (3), the rotor motion equation of multi-machine power systems can be derived as below [20, 21].
The wave vectors of P and S wave, ( l_{text{p}} ) and ( l_{text{S}} ), are derived as shown below.
The DRM was derived as described below.
The air pollutant surfaces derived as described below provide the spatial distribution of each pollutant.
The Ecotracer input data derived as described below are presented in Table 1.
Because our interest is in calculating the excitation energy, we derive a commutator as below [Eq. (2)]: (2) This kind of commutator was derived for calculating the excitation energy for the coupled-cluster ground-state wave function.[ 21] We rewrite this operator as.
We start by estimating f c of natural faults by scaling the laboratory results of Nagata et al. (2008 20122), using a scaling relation of f c, as derived below.
As derived below, the electron density within the crystal and the diffraction patterns are related by a simple mathematical method, the Fourier transform, which allows the density to be calculated relatively easily from the patterns.
