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N plays a role in assessing the data compressibility since a dataset can be represented on meshes of different refinements.
Recent years have seen a proliferation of different refinements of the basic idea to achieve a closer match with commonsense judgements about causation.
The rate-of-convergence was verified using the method of manufactured solutions (MMS) and found to preserve the theoretical rates when interpolating between spatial meshes of different refinements.
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In recent years, a number of papers have appeared in which the authors constructed different refinements of discrete Jensen's inequality.
In this paper, we use a similar method to [2, 3] and we get different refinements of (1).
We use a similar method to (Feng in J. Inequal. Appl. 2012 18, 2012; Wang in J. Inequal. Appl. 2013:420132013) and we get different refinements of the Heinz inequalities for matrices.
Several numerical benchmarks are conducted to invest the convergence and mesh sensitivity of simulations of dynamic crack propagation process with different refinements.
Finally, by examining a series of different model refinements for partial repression by KorA or KorB dimers alone, we showed that a model including partial repression by KorA and KorB was most compatible with existing experimental data.
We then add different refinements to this algorithm.
The computational grid consists of a number of nested grid blocks at different refinement levels.
Analytical models of the tower characterized by different refinement levels are calibrated on the results of the performed dynamic identification and used to carry out nonlinear static and dynamic analyses.
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