Sentence examples for model equations with from inspiring English sources

Their design is usually based on pseudo-homogeneous model equations with averaged semi-empirical parameters.

This method makes it possible to obtain model equations with smooth functional coefficients, describing the effect of the microstructure size.

We numerically investigate the possible stable solutions of the model equations with respect to changes in the parameters as well as the initial conditions.

Additional data sets were used to validate the new hydrocyclone model by comparing the predictions of the model equations with the experimental results.

These unexpected and dramatic phenomena are predicted a priori by a bifurcation analysis of the model equations with the controller gain as the bifurcation parameter.

Classical methods for minimization of the objective function, like the Newton method, requires a good initial guess for all parameters and differentiation of the objective function and/or model equations with respect to the model parameters.

First, the contribution of each term in the model equation with rotation effect is estimated.

A second order model equation with p-value <0.05 was obtained to predict the conversion using the input parameters.

A comparison between the predicted values of the output variables using the proposed model equation with their corresponding experimental ones shows fairly good agreement.

The optimum process conditions were determined by analyzing response surface three-dimensional surface plot and contour plot and by solving the regression model equation with Design Expert software.

The optimum process conditions for hydrogen production rate were determined by analyzing the response surface three-dimension surface plot and contour plot and by solving the regression model equation with Design Expert software.