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Orange broken line is approximate straight line with gradient p, which was computed by linear approximation with the least squares method.
As shown in Fig. 4, we computed the gradient p by linear approximation with the least squares method.
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This algorithm executes a quasi-random (LDS) sequence of local searches using constrained optimization by linear approximation (COBYLA) [21], with a clustering heuristic to avoid multiple local searches for the same local minimum.
MT/MTIS was calculated by linear approximation The estimate for S17P was performed using linear approximation with Ru15P and F16P.
For (b), the displacement was estimated by linear approximation.
A Constrained Optimization By Linear Approximation (COBYLA) algorithm has been implemented to solve the optimization problem.
STRiN solves a nonlinear large problem by linear approximation and the method of preconditioned conjugate gradients.
The missing data points were extrapolated by linear approximation between prior and subsequent data values.
With variable model estimation, we drew a trend line for each health-related indicator by using a logarithmic or linear approximation with six time points referencing 1996, 1999, 2002, 2005, 2008, and 2011.
Missing values were extrapolated using a linear approximation with respect to measurement's date and time.
In order to compare our results with the ones reported in the work by Klipp et al. [ 4] and the available experimental data, two types of enzyme CVP approximations were considered: i) a step-wise approximation with 120 constant elements for each enzyme (i.e. 721 decision variables) and ii) a piecewise linear approximation with 8 variable length linear elements (i.e. 55 decision variables).
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