Sentence examples for models formulated using from inspiring English sources

In this paper, we present several hysteretic models formulated using an energy approach.

MATLAB implementations are included as online supplemental data with this paper to illustrate the conceptual simplicity of implementing models formulated using this approach.

Ensuring that models formulated using both approaches can be implemented in an exchange format is very demanding and requires an adaptable structure.

Experimental results have served to calibrate the non-linear 3D numerical FE model formulated using ANSYS software package.

A numerical model, formulated using Mindlin plate elements, is developed to predict relevant wave characteristics such as dispersion, and group velocity variation as a function of frequency and direction of propagation.

The model, formulated using difference equations (Text S1, equations 1 4), was fitted using maximum likelihood estimation (Text S5) to the incidence and prevalence data from the HIV surveys conducted in Caió in 1990 , 1997and 2007, under an assumption of independence.

Linear models were formulated using the Laird and Ware (1982) model (Eq. 6) mathbf{y}=mathbf{X}boldsymbol{beta } +mathbf{Z}mathbf{u} + boldsymbol{upvarepsilon} (6).

Linear models were formulated using the Laird and Ware (1982) model (Eq. 3) and developed following the protocol of Zuur et al. (2009), while nonlinear models followed the Pinheiro (2002) model (Eq. 4).

Stochastic models are formulated using stochastic processes.

Outcome models were formulated using logistic regression.

Simulation of the model so formulated using the kinetic and physical parameters which are within the practical operating range, reveals that a substrate response minimum occurs in all the cases under consideration.