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The channel taps are simulated as i.i.d random variables, correlated in time according to Jakes' model with correlation function, where is the zeroth-order Bessel function of the first kind, is the maximum normalized Doppler spread.

All teaching qualities were positively correlated with 'being seen as a role model' with correlation coefficients ranging from 0.49 for 'evaluation of residents' to 0.64 for 'learning climate' (P<0.001).

Model III is a GMXL model with correlation and interaction terms.

Adsorption of Pb2+ by adsorbent from mixture of bagasse-bentonite follows pseudo second order model with correlation coefficient value of 99.99% (R2 = 0.9999) and Freundlich isotherm model with correlation coefficient value of 90.05% (R2 = 0.9005).

Open image in new window Fig. 4 Comparison of the turbulent model with correlation for a Nusselt number and b friction factor.

Specifically, the Johnson-Champoux-Allard model (JCA) is chosen as the objective model with correlation effects generated by a secondary micro-macro semi-empirical model.

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The pharmacophore hypothesis yielded a 3D-QSAR model with correlation-coefficient (r2 = 0.977, q2 = 0.801) and it was externally validated with (r2pred = 0.929, r2cv = 0.850 and r2m = 0.856) which reveals the statistical significance of the model having high predictive power.

Although we used NOx as our indicator of traffic-related pollution, this molecular gas had strong correlations with CO, NO2, and PM2.5 estimates from the CALINE4 model, with correlations greater than 0.9 (see Additional file 1 for further details).

The statistically significant diagonal values in the Cholesky matrix highlight correlation between attributes making an uncorrelated specification inappropriate (matrices for models with correlation available in Appendix A).

Meanwhile, mathematical models with correlation coefficients of 97.9% and 98.2% respectively were built to predict both the soluble chemical oxygen demand (COD) yield and BMP after pretreatment.

The statistical analysis was performed using the Statgraphics statistical data analysis tool and the empirical models with correlation equations describing the pH value of analyzing samples.

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