Sentence examples for in the case of rank from inspiring English sources

We shall prove, in the case of rank one projection operators, that the generating operators for such multipliers are either Riesz bases (exact frames) or not frames for their closed linear spans.

In the case of rank transformation of expression values, the difference of the average ranks between a miRNA's non-targets and targets is used.

We performed Pearson's correlations between the different accessions or in the case of rank transformed data, we performed Spearman's rank correlations.

In the case of scale plasticity, whatever the environment, selection would result in the same favoured genotype, whereas in the case of rank plasticity, different genotypes would be selected in different environments.

We should note that the RDN LRA-MMSE-OSIC FNSA, to which this paper relates, is particularly efficient in the case of rank-deficient MIMO systems, i.e., spatially correlated antenna systems, for high-order modulation which are considered points of the LTE-A norm and for large number of antennas as in the future generation of cellular systems (beyond 4G networks).

In the case of the ranked scene construction data, the Wilcoxon signed-rank test for repeated measures data was utilised.

In the case of the ranked data in this study, that probability can be calculated for each clinical study.

In the case of Hbp, the rank curves had similar forms as those of Cn (Additional file 1: Figure S3).

To arrive at a final score, we averaged each city's ranking for all three metrics, and in the case of ties, we ranked a city higher if it had better home price affordability.

The same clustering as in the case of the mean ranks can be found here.

Substance atom environments (r = 3) ranked third, fourth, fifth and sixth show examples with two substituents in the ortho position, where only in the case of the third ranked environment a connection to another aromatic system is indicated.