Sentence examples for both cases we show from inspiring English sources

In both cases we show existence and uniqueness of an optimal transport map.

In both cases we show how to calculate the eigenquantities of the Jacobian matrix in a relatively simple way.

In both cases, we show that the TPCR reaction is most efficient within a narrow range of primer concentrations.

In both cases, we show that perfect absorption involves critical coupling to TM modes existing in thin films.

In both cases, we show that our procedure outperforms state-of-the-art reconstruction algorithms and proves extending the feasibility of the reconstruction in the presence of a reduced number of measurements.

In both cases, we show that the new method can accurately represent the vortex structure behind a flying wing and its influence on the bound vortex sheet on the wing.

In addition to considering the standard elliptical drop test case, we show both the robustness and efficacy of the proposed methodology with a 2D model of a heart valve.

In both cases, we can show with the here developed methodology that the cross sections have at least the same order of magnitude and that mainly single scattering takes place, which explains the thickness dependence of the characteristic electron doses.

In this case, we show that.

In this case, we show that (3.15).

In both cases, we have shown that the optimization of input distribution can be separated from that of channel selection.