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The simulation of periodically forced processes in plug-flow reactors leads to the development of partial differential equations that are normally solved in time using dynamical simulation.
This problem is normally solved through the extraction of representative features of the object, and the two-dimensional coordinates of these image features are used to compute the position of the object.
Strategies for team decision problems, including optimal control, N-player games (H-infinity control and non-zero sum), and so on are normally solved for off-line by solving associated matrix equations such as the coupled Riccati equations or coupled Hamilton Jacobi equations.
In the case of unconstrained minimax designs these problems are normally solved by the Parks McClellan algorithm, which is an application of the second algorithm of Remez to these problems and which is one of the most popular tools in filter design.
In this way more optimal solution methods can be adopted for each operator, in contrast to more traditional computational fluid dynamics (CFD) methods where all equations (and operators) are normally solved by the numerical solvers originally intended for pure flow calculations.
FBA problems are normally solved through linear programming using the simplex algorithm.
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These properties are used to decompose the eigenproblem, which must normally be solved in computing the series expansion, into two smaller eigenproblems.
I have found in my practice that by placing an arch support in my patient's shoes will usually solve many of their foot problems and allow them to wear shoes that were normally uncomfortable.
Normally, when solving MSA problems, the optimal answer is unknown and there is no concrete criterion to evaluate the quality of a given algorithm, unlike the case for Pair-wise alignment where an optimal solution can always be found.
Normally, this can be solved by being completely calm and trying to lay out a compromise.
Normally one must solve the transport equations for every fracture and use the effluent concentration as inlet condition to the next fracture and so on.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com