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Then, PHI instances that involve numerical patterns are identified by regular expressions and context checks.
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First, the mathematical content of the trains problem, which includes identifying, justifying, and generalizing numerical patterns, is well aligned with current state and national content standards for algebra.
Frequencies of numerical advantages, linguistic advantages, mixed patterns are listed.
Numerical comparison of activation patterns is made with two different combinations of models for the coupled Purkinje network/myocardium system, the eikonal/eikonal and the monodomain/monodomain models.
Numerical analysis of BOX patterns was performed using the MVSP 3.1 software [ 32].
Patchy patterns were computed using standard numerical methods on a regular grid.
Several mesh patterns were designed and their characteristics were studied using numerical simulation.
Finally, numerical simulations are performed to illustrate the weakly nonlinear theoretical predictions and through these simulations some patterns (single mode pattern, mixed-mode pattern, super-squares pattern, roll pattern, hexagonal pattern) are found.
The underlying principle of CEh is the same as for any genetic clustering method: the closer the match in the numerical patterns present in two genotype files is, the closer is the inferred genetic relationship between them.
The predicted numerical crushing force and fold pattern were found to be in good agreement with the experimental results.
Based on both experimental and numerical results, the laminar airflow pattern was shown to be impossible to achieve due to turbulent flow mixing and flow entrainment into the supply air stream.
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