Sentence examples for Permutation described from inspiring English sources

for each frequency bin, which by principle can only be known up to an arbitrary scaling and permutation described by the diagonal scaling matrix and the permutation matrix.

Another oscillation criteria can be obtained using the cyclic permutation described in Lemma 1 and Theorem 2. For instance, in the case when ∑ n = n 0 ∞ a n − 1 / α = ∞, ∑ n = n 0 ∞ b n − 1 / β < ∞, ∑ n = n 0 ∞ c n − 1 / γ = ∑ n = n 0 ∞ d n = ∞, we can apply Theorems 3-5 to Equation (R2).

For the Velvet assembly of the permutation described above, the cricket and snail mitochondrial genomes each gave two contigs, which overlapped to form a single supercontig covering the whole of each genome.

Face-to-face interviews are employed to collect a sample of respondents who are randomly allocated to one of the four treatment permutations described by our interviewer appearance and information change study design.

We empirically investigated the performance of the permutation approach, which we will refer to as "resampling" to avoid confusion with the permutations described above.

In this paper we computed p-values based on the subject sampling model (1000 permutations) described by Goeman [ 2] in order to avoid such bias.

It was thought that analysing the results of the healthy, anxious and depressed individuals would help to determine which of the permutations described in Study 2 would be the most reliable and robust for use in future studies.

In analyzing the specific perfect motifs and the imperfect motifs, there were approximately 3061 different motifs reported in the database out of 6782 entries (this estimate refers to unique motifs with differing repeat frequencies and does not take into consideration alternative permutations described below).

Additional analysis permutations (described in Figure 5 figure supplements 1, 3, and 5 with example GM power spectra shown in Figure 5 figure supplements 2, 4, and 6 ) reveal that the three negative WM correlations are influenced by WM regression (step #12) and thus are open to more than one interpretation.

The expectations under the Null hypothesis (based on permutation) are described by the mean and the standard deviation.

The population permutation test described above was conducted for each sample, and the onset was determined both for replay and for rivalry.