Sentence examples for above relation with from inspiring English sources

From the best fitting of the above relation with the measured data of the effective electric resistivity, we obtained the dependence of the damage variable on the certain component of the plastic strain tensor.

To understand the above algorithm, we can illustrate the above relation with an example in which N=36,K=3,M=2.

end{aligned}Then from (4), Theorem 1 and (15), we find begin{aligned} g(A_{FZ}varphi X, W =&-sin ^2theta,eta (X),g(Z, W =&-sinf)g(Z, W)&-cos ^2theta,etan f),g(Z, W)+g(A_{FPZ}X,gW). end{aligned}Then (23) follows from the above relation with (mu =ln f).

23 The meaning of this is that all unstandardized score functions fulfilling the above relation with the same c are forced to become equivalent.

Differentiating above relation with respect to, and with (4.12), we have (453).

Figure 3 shows the comparison of the above relations with experiments (Liu and Sharma 2005).

The above relation holds with equality for discrete degree distribution, but some care needs to be taken if one uses continuous version for the degree distributions.

In the above relation dot shows the derivative with respect to time.

The other cases (#2b, #4a) are marginal and consistent with the above relation.

Integration on the above relation from (t_{0}) to t with application of Proposition 2.1 (which is possible since (rho>0)) then yields begin{aligned} &int_{t_{0}}^{t} varphi^{-1}biggl(p s)^{-1}int _{s}^{infty}q(r psibigl(X_{2}(r bigr),dr biggr),ds &quadsim rhoint_{t_{0}}^{t} s^{rho-1} l_{2}(s),dssim t^{rho}l_{2}(t)=X_{2}(t),quad ttoinfty.

In accordance with the above relations, the designed CCO is simulated using 0.18 µm TSMC CMOS technology parameters.