Sentence examples for by using equations from inspiring English sources
By using Equations 13 and 53, let us introduce the vector mathbf{r}^{(I,g,n)}_{n+ell} stackrel{{triangle}} mathbf{r}_{n+ell}^{(I)} times mathbf{g}_{ell} hspace{2cm} ell in {0, 1, ldots, K-1 } (C.2). and let us denote with (r^{(I,g,n)}_{n+ell, i}) its ith component for i∈{0,1,…,M−1}.
To make things tougher, the significance of the problem can only be explained by using equations, symbols and mathematical terminology.
By using equations from the literature, grain growth and phase transformation of nanocrystalline titania powder were also studied.
The number of FE analysis is reduced by using equations to analytically estimating the stress changes in gradient calculation and line search steps.
by using Equations 5 and 6,respectively.
By using equations (21) and (22), we obtain (23).
By using Equations (5a) and (5b), we have.
By using Equations 4 and 5, SDcoord can be obtained by Equation 6.
We calculate the solar constant FS for Venus by using equation (7.9) with d = 1.08x106 km.
Calculate the annual CO2 mass emissions for each type of fuel by using Equation C-1, C-1a, or C-1b of this section (as applicable).
The distances were calculated from the measured FRET efficiencies by using equation 2. Recombinant human BMP-2 (rhBMP2), obtained from Medtronic Sofamor Danek, was modified with DNA in the two-step procedure shown in Supplementary Fig. 10a.
