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The analysis of stochastic geometry is based on averaging over an ensemble of spatial realizations.
These were based on averaging over finite state-space, references, and averaging over time.
ROC and AUC cannot reflect performance with respect to particular time intervals, since they are based on averaging over time.
These parameters were estimated based on averaging over a 100 kb window surrounding each gene.
This term is used both as a covariate affecting the individual PM2.5 observations based on the point location of each monitor (in Equation 1) and as a covariate affecting the gridded process, P s (based on averaging over a subgrid of 16 points within each cell).
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Merging electric field at the magnetopause was required not to be too large (details of how this criteria is defined are to be found in Olsen et al. (2014), section 2.1; suffice to say here that we used a more relaxed constraint than in CHAOS-4, based on averages over the past twelve 5-min values: E m,12 < 3,3 mV/m).
The Mars surface composition has been modeled based on averages over the measurements obtained from orbiting spacecraft and at various landing sites, taking into account the possible volatile inventory (e.g. CO2 and H2O ices) along with its time variations throughout the Martian year.
The Mars surface composition has been modeled based on averages over the measurements obtained from orbiting spacecraft and at various landing sites, taking into account the possible volatile inventory (e.g., CO2 ice, H2O ice) along with its time variation throughout the Martian year.
All point estimates (plotted curves in Fig. 4 and mean AUCs in Fig. 5) are based on averages over the 1,000 simulations.
Comparisons between the fatigued and unfatigued conditions were made based on averages over subjects, which were tested with paired t tests, with α = 0.05.
A deterministic description based on ordinary differential equations can effectively describe the mean kinetic behaviour of genetic circuits, thus its predictions can be tested with experiments based on averages over cell populations.
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