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Some sufficient conditions are presented to determine its optimal solution in terms of the maximum solution or the minimal solutions of its feasible domain.
Errors corresponding to the range from about 10−2 (relative to the maximum solution value) down to about 10−6 or even less, can be easily achieved at a modest computational cost.
Errors corresponding to the range from about 10-2 of the maximum solution value, down to about 10-7 or even smaller, can be easily obtained at a modest computational cost.
Hence, the maximum solution to the problem ) in is the maximum solution to the problem in.
Moreover, the maximum solution to the problem ) is also a solution to the problem.
Moreover, when (S A,mathbf{b})) is nonempty, the principal solution (hat{mathbf{x}}) becomes the maximum solution and (S A,mathbf{b})) can be determined by the maximum solution and a finite number of minimal solutions.
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It can be seen clearly that we can solve the global maximum solution by using SA.
Secondary structures satisfy a simple recursion which gives the optimal (maximum) solution over i j by L i, j = max { V i, j, W i, j }, where V i, j denotes the optimal solution in which (i j) is a base pair, and W i, j denotes the optimal solution obtained by adding the optimal solutions of two subsequent intervals, respectively.
For classification, the asymptotic convergence to the minimum norm solution implies convergence to the maximum margin solution which guarantees good classification error for "low noise" datasets.
Hence, is a solution to, and therefore the problem has a maximum solution.
By obtaining a priori upper bound of the nonnegative periodic solutions of the corresponding periodic diffusion system, we establish the existence of the maximum periodic solution and the asymptotic boundedness of the nonnegative solutions of the initial boundary value problem.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com