Sentence examples for is derived only for from inspiring English sources

The interporosity flow equation in the in-house simulator 2 is derived only for liquid and assumes constant viscosity and compressibility in the derivation thereby misrepresents gas flow from matrix blocks to fracture.

The mathematical procedure can explicitly be derived only for rigid airplanes where two-dimensional approximations are valid.

In the previous section, an ROT was derived only for high SNR region because Pe 3 cannot be derived in low SNR region.

Adding quasi-conservative equations for volume fraction can solve this error, however this approach has been derived only for immiscible fluids.

According to Figure 6, the curves for channel models CM1 and CM2 for a given value of Tb are similar, so models are derived only for Tb=1 ns and Tb=4 ns.

Furthermore, under certain smoothness assumptions for the target (i.e., that π(x) is twice continuously differentiable), it also guarantees that this expectation tends to zero as the number of iterations increases, hence implying that less points are added as the algorithm evolves.Finally, note that Theorem 3 has been derived only for η t (z,d)=η t (d).

As there is a limited understanding of how tephra enters and moves through wastewater pipe networks, the fragility functions in Fig. 7b are derived only for individual treatment sites and do not consider the influence of tephra entering through the pipe network.

ECAT was derived only for the infant's residence because only 14.4% of infants were reported to attend child care.

Exact analytical results for these quantities have been derived only for very simple gene regulatory systems [ 10- 12] and hence they are more commonly obtained by means of Monte Carlo simulations using the stochastic simulation algorithm (SSA) [ 13, 14].

For one child, a diagnosis was derived only from the parent report, and for 11 children only from the child report.

Traditionally, the 5-year survival would be derived only from patients who had been observed for 5 years or more, thereby not reflecting more recent improvements in survival.