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The process is repeated until all nodes converge to the same solution which, in turn would be the same as in the centralized case.
As a comparison, DTH (1.0 × 10-5 M) exhibited fluorescence response towards both Zn2+ and Mg2+ ions (1.0 × 10-4 M) in the same solution, which is not as selective as DTH-Fe3O4@SiO2 for Zn2+ detection (Figure 7B).
We normalized matrix interference effects by diluting all samples and standards into the same solution, which contained 10% (v/v) translation solution.
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Necessary conditions for the convergence of a succession of Padé approximants have been obtained, and that allows one to establish relations between quasi-linear and essentially non-linear expansions: that is, to decide which of them correspond to the same solution and which to different ones.
The term preconditioning is simply a means of transforming the original linear system into one that has the same solution, but which is likely to be easier to solve with an iterative solver.
Hybridisation took place for 16 h at 60°C in the same solution to which the radioactive probe is added.
The chunks were then incubated in the same solution from which EGTA was excluded and protease type XXIV (3 U/ml, Sigma) and collagenase type V (250 U/ml, Sigma) were added.
The optimal solution with fluxes for H2, PHB and CO2 presented in Figure 3b, 3c and 3d respectively, represents one where non-zero fluxes for all 3 metabolites were observed in the same solution and which most closely matched the observed experimental data.
Moreover, it is proven that these iterative algorithms converge strongly to the same solution of the VI, which is also a fixed point of.
If we use (X_{1}) and (X_{2}) from Example 7.2, then we get the same solution (X = X_{9}), which proves the uniqueness of the solution of Equation (1.2). 2.
The approach presented here has alleviated from the problems of premature convergence, stagnation and revisiting of the same solution over and over again, which is common in other optimization techniques.
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CEO of Professional Science Editing for Scientists @ prosciediting.com