Sentence examples for analytical expression that from inspiring English sources

We derive an analytical expression that can predict the occurrence of bistability both for artificial inducers and lactose.

First step is to arrive at the analytical expression that relates the performance indices and the controller parameters.

In this paper we derive an analytical expression that relates the specific surface area of arbitrary nanoporous materials to their solid bulk density and ligament size.

Through a hierarchical theory, we establish an analytical expression that quantitatively predicts the critical twinning stress in face-centered cubic metals without any empiricism at any length scale.

This paper contains the explanation on how the Householder transformation, which is extensively used for matrix orthogonalization, provides an elegant analytical expression that solves the vector orthogonalization problem.

Based on the results obtained, we derive the analytical expression that relates these two quantities in the general case of the energy landscape governing hopping transport.

The final control law consists of analytical expressions that involve all modelled process parameters.

For each of the measures we provide analytical expressions that completely agree with numerically results.

Analytical expressions that are used for model identification are also provided.

The techniques currently available to generate moment equations rely upon analytical expressions that are not efficient upon scaling.

The final control law consists of analytical expressions that involve both dominant dynamics and model uncertainty of the controlled process.