Sentence examples for based upon the linear from inspiring English sources

With the borehole database established, the relationship between the shear-wave velocity and the depth is analyzed, this relationship can be captured by regression-based models; and then, a sequence extrapolation method that is based upon the linear relationship between the time average shear-wave velocities is developed for the prediction of the shear-wave velocity along the depth.

In this study, the two competing models are non-nested and include the model based upon the linear regression results (LR model) and physiology-based model (PB model).

This method is based upon the linear dependence of the melting-related thermal effect with the specific volume, i.e. the thermodynamic variable v considered for heterogeneous matter.

A number of direct methods based upon the Linear Matching Method (LMM) framework have been developed to address structural integrity issues for components subjected to cyclic thermal and mechanical load conditions.

A generalized inverse technique is applied to retrieve two types of balanced winds that characterize the large-scale dynamics of the atmosphere: rotational winds based upon the linear balance equation and divergent winds based upon the vorticity budget equation.

The difference between the estimates based upon the linear and log models increased for average concentrations above approximately 40 µg/m.

However, our strategies for treating and assessing outcome for patients are overwhelmingly based upon the classical linear paradigm for cancer evolution.

An analytical relation describing the wavelength of the initial solid liquid interface corrugations under diffusion-limited transport is screened out by comparing the phase-field simulation data with expressions based upon the Mullins Sekerka linear stability analysis theory or derived for primary spacing.

Our primary analytical approach was based upon the generalised linear modelling (GLM) approach employed earlier to identify factors associated with HIV prevalence in the same eight-city study population [ 13].

However, a hypothetical patient exhibiting disease progression (in this study, approximately 28% of the QoL population experienced disease progression) could expect no benefit in these measures as based upon the multiple linear regression results (Table 6).

The experimental results are in good agreement with theoretical predictions based upon the non-linear modal superposition approach.