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First-guess estimates of bathymetry were derived from SWOT observations assuming a uniform spatial depth; bathymetric variability was modeled using an exponential correlation function.
Synthetic cross-section porosity maps are generated using fractional Brownian motion (fBm) statistics in vertical direction and then the porosities are converted to permeabilities using an exponential correlation as data to black oil simulator.
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Here, the random effects arise from a spatial Gaussian process with a covariance matrix constructed using an exponential spatial correlation function.
This is shown in Figure 7, where the mean vectors for each genotype are modeled after the temozolomide and MGMT signal, but residual covariances are modeled using an exponential decay or equal correlation.
For these cases, a slight improvement in correlation was seen using an exponential model, and slope coefficients for both models are shown as: exponential coefficient/linear coefficient.
A higher correlation between acrylamide and a value was obtained using an exponential relationship (y = 131e0.344 x; r = 0.881); this was particularly noticeable at higher acrylamide concentrations.
Interface roughness is randomly generated using an exponential autocorrelation function.
Primer efficiencies were determined using an exponential cDNA dilution series.
(A ) Parameterization of the unit circle using an exponential map.
Interindividual variability was estimated using an exponential error model.
Between-subject variability was calculated using an exponential variability model.
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