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By this procedure, we compute t elementary symmetric functions in the chain of rings with less computation.
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Following Rosenthal and DiMatteo's (2001) procedure, we computed Cohen's d from the standard normal deviate and the sample size of the main experiment in Jalal et al.'s (2015) original study.
Using the above two-step procedure, we computed the densities at T = 50.
We defined the distance between the tree T s and the forest F j, denoted d(T s, F j), as the triplet fit dissimilarity (1 minus the triplet fit similarity [ 64]) between the triplet set of T s and the retained triplets of F j: (2) Using similar procedures, we computed the triplet distance between all pairs of the 21 individual loci located on chromosome 3.
In order to determine the bidding procedure, we first compute the marginal revenue to the marketer who is the seller.
For the 316-kb sequence amplification region, the average relative coverage was computed for each sequenced population using the following procedure: We first computed the absolute coverage of each sequence position and then separately averaged over all positions from the amplified region and over those from the rest of the genome.
As an alternative procedure, we also computed RF maps by correlating the responses with all (7 × 1024) stimuli, and this yielded very similar results.
To classify each stimulus exemplar using each neural code, we averaged the vectors over all presentations of each stimulus using a leave-one-out procedure; we then computed the Euclidian distance from the current vector to each of the 10 stimulus-averaged template.
The following is the procedure we propose to compute the signature of an alternative splicing isoform.
Heart rate and blood pressure were monitored continuously throughout the procedure from which we computed the measures obtained 40 minutes prior to the video presentation (Pre) and those obtained 40 minutes after initiation of the video (Post).
To finally verify that our probe validation procedure was beneficial, we computed the Pearson's product moment correlation values for eggplant samples.
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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