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A Picard iteration scheme has been implemented for the computation of toroidal, fully three-dimensional, zero β equilibria with islands and stochastic regions.
An operator split method equipped with a return mapping algorithm accounting for differential straining is implemented for the computation of the discontinuities values, treated as local variables.
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The evaluation function needs to be defined for each specific problem in an ad hoc manner and re-implemented for the computation of the robustness.
Specifically, the R function "fisher.test" is implemented for the computation.
(b) The implemented algorithms for the computation of barcodes from the boundary matrix.
MG designed, implemented and evaluated the character and distance transformation functions; implemented the computation of Delta values and Euclidean distances; and designed the pure distance-based testing framework.
This orthology computation was based on that described and implemented for the genome sequence of Nematostella [ 30] with further refinement of the blocking rules.
The library TDA Package [140] (see [69] for the accompanying tutorial) implements the computation of confidence sets for persistence diagrams that was developed in [141], distance functions that are robust to noise and outliers [142], and many more tools for interpreting barcodes.
The package Persistence Landscape Toolbox [150] (see [70] for the accompanying tutorial) implements the computation of persistence landscapes, as well as many statistical tools that one can apply to persistence landscapes, such as mean, ANOVA, hypothesis tests, and many more.
Because the library javaPlex implements the computation of a variety of complexes and algorithms, we feel that it is the best software for an initial foray into PH computation.
We implement the computation of saliency based on the statistics of local image regions.
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