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We generated 1000 permuted genomes where, for each permutation, the proportion of LF, MF1, and MF2 genes on each chromosome matched the original dataset.
A student t-test was performed for each permutation to assess how much a permuted distribution was similar to the original distribution.
For each permutation, the two markers being tested in the regression were permuted together.
The class labels were then permuted 500 times, the model trained and tested for each permutation, and the mean AUC calculated.
For each permutation we created a new cis-regulatory dataset (with gene labels permuted accordingly) and learned the optimal composite motif set.
He cannot yet make all metals into all colors but says he believes that it is only a matter of trial-and-error to find the right recipe for each permutation.
The mass of the structure is predicted for each permutation.
Since the maximum harvesting level for each permutation is achieved at (3.16).
For each permutation the difference of the two resulting areas were calculated (test statistic).
The algorithm we proposed is based on Dijkstra's algorithm [32] and on the estimation of the minimum distance for each permutation.
More importantly, (13) shows that, for each permutation, is a corner point of the polymatroid (see [10, 14] for more details).
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com