Sentence examples for and hence the model from inspiring English sources

In reality, this assumption may not be valid and hence the model performance would be affected.

This explicit form is intuitive and hence the model lacks the analytical support.

In south east England the observed values all lie within 95% of the model distribution (Fig. 2b e) and hence the model is deemed to be statistically indistinguishable from the observations.

The quality and quantity of observed rainfall and flow data available for calibration has a great influence on the identification of hydrological model parameters, and hence the model error distribution and width of the confidence bounds.

With the new phase-field model, the width of the liquid solid interface region is allowed a much large value with the continuity of all parameters in the phase-field model and properties of interface maintained, and hence the model is suitable for simulating large-scale systems.

Previously it has been assumed that the steps spread with equal velocity v in both directions, and hence the model only applied to faces that have a two-fold axis or are bisected by a mirror plane normal to the lamella.

This will help to indicate the complexity of THM modelling required and hence the models, mechanisms, type of computing, supporting data, laboratory and in situ testing, etc. required.

The calculated F-ratios were found to be higher than the tabulated values with a 95% confidence level and hence the models were considered to be adequate.

Wald test statistics calculated to determine whether the estimated coefficients for inpatients are equal to the estimated coefficients for outpatients for models with exactly the same specification indicate that the estimated coefficients are not equal and hence the models are not robust to different samples.

The larger magnitude of F (43.11) and smaller value of p (<0.0001) indicated the high significance of the model, and hence the quadratic model was found to be good and selected to continue the progress.

In the study, the Ma Ra model is used as reference model for comparison and hence the conventional model refers to the Ma Ra model.