Sentence examples for model equations given from inspiring English sources

The model equations given in section "Space heating thermal model" are solved using a 15-min time step which is required as a minimum time step for controlling the thermal storage and to calculate heat pump operation times.

The model equations given by f1 t, I) and f2 t) for the three transmission models are summarized in Table  1 and reflect assumptions for the three transmission models (model I III) considered.

The model equations give calculated expansions at 525 and 825 °C within a few 0.1 mm/m of the original measurement for most coatings.

Regressing the results to the model equations gave an excellent fit to experimental data (> 98.7% of variance explained for both fermentations), confirming the model's potential for predicting size reduction during high-pressure homogenisation.

When the quasi-steady state hypothesis is introduced for the live polymers, direct integration of the model equations gives rise to extremely simple expressions for the molecular weight averages.

Drop size distributions, measured in a turbine-agitated column section and inserted into the model equations, gave predictions of a considerable influence of size distribution on extraction column performance.

On the other hand, in the alternative and not so common Dual Signal Model formulation, a signal expansion is made by using an auxiliary signal model equation given by a non-linear regression of each time instant in the observed time series.

In the section of modeling, dozens of model equations were given and then implanted into the computational code.

Detailed derivation of the model equations is given in Hoskins and Wang (2006) and Wang (2012).

Proper simulation of the state variables can be done by solving numerically the set of model equations with given initial conditions.

Model equations are given in Text S1.