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This was achieved by introducing additional fitting criteria in the minimisation functional, which constrain the fitted surface in the regions with insufficient number of data points.
(2) The fitted surface must satisfy global and local shape preservation criteria, which are undefined explicitly.
The fitted surface of enzymatic activity as a function of t and c is shown in Fig. 4.
If the Electoral College were based on proportional representation (rather than winner-take-all, by state, except for Maine and Nebraska), the fitted surface would be a 45 degree line.
Also plotted, for each sweep type, were the time-allocation means, their associated 95% confidence intervals, and the 2D projections of the fitted surface.
The "location-specific" method minimizes a bias that would otherwise cause the slopes of the fitted surface along the pulse-frequency and price axes to be underestimated whereas the "all-common" method reduces the number of parameters in the model and the uncertainty surrounding the parameter estimates (see Materials and Methods).
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In these fitted surfaces, the relationships between TWET, evacuation population, and TSA are clearly presented.
These approaches facilitate the preposterior analysis by replacing it with a sequence of scatter plot smoothing/regression techniques and optimization of the corresponding fitted surfaces.
The fitted surfaces describing the relationships between these three factors were generated using Eq. 13: MIT = l_{0} + l_{1} P + l_{2} MAA (13 where l1, l1, and l2 are parameters for different scenarios, and their values are shown in Fig. 10.
With the fitted surfaces, the overall desirability function and the Pareto-optimal front are used to describe the relation between the conditions of the derivatization reaction and the quantity extracted of each analyte.
Graphs of the fitted surfaces were plotted using Origin v8.0 (OriginLab Corporation, Northampton, MA) as were the contour graphs of the 3D structure.
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