Sentence examples for quantified analytically from inspiring English sources

First of all we quantified analytically how the correlation depends dynamically on the external input of the network.

The solutions provide direct insight into underlying physical processes and enable the effects of important parameters to be quantified analytically.

Alfred Marshall argued that every economic problem which can be quantified, analytically expressed and solved, should be treated by means of mathematical work.

The residual water content of the particles was very low as quantified analytically Karl Fisher titration.

We quantify analytically the throughput gain per subchannel, provided by the proposed scheme and also present simulation results to verify the analysis.

We quantify analytically the capacity enhancements provided by the proposed scheme for different SNR threshold levels, and also present numerical simulation results to verify the analysis.

Using this formalism and this model, we quantify analytically how synaptic connections determine statistical dependencies at any order (not only at the pairwise level, as in previous studies) among different neurons.

Since energy absorption is dependent upon the unique stress-strain response of each foam specimen, it is difficult to quantify analytically; thus, energy absorption cannot be easily compared across materials.

It then produces images for melanin, blood, and collagen, which are then quantified and analytically evaluated.

A methodology is proposed whereby these issues can be analytically quantified.

The constraint behavior of the parallelogram is analytically quantified and considerable improvements in stiffnesses and error motions are observed.