Sentence examples for rank implies from inspiring English sources

Some authorities classify the elasmobranchs into one class (Selachii) and classify the chimaeras into another (Holocephali); however, assigning the two groups class rank implies a degree of distinctness equal to that of the amphibians (Amphibia), reptiles (Reptilia), birds (Aves), and mammals (Mammalia).

However, some components of part (ii) (that being essentially full rank implies gradient weak local identifiability) is weaker than the other result, proved in part (ii) of Theorem 4 of Catchpole and Morgan [3], namely that if a model is of essentially full rank it is locally identifiable.

Regarding birth rank, most children were in the 4th and 5th rank, implying that multi-para could be a risk factor of oro-facial clefts (Table  1).

The obtained ranking implies that the three endpoints represent different degrees of classification difficulty.

Hence, no Z k 's is of full rank, which implies rank Z k ≤ M − 1. (20).

We clearly see the difference in performance of the two classifiers and may conclude that the ranking implied by the classification scores behind the solid curve reconstructs the soft-labels with greater accuracy.

While the PTO-WAD ranking produces on average one reversal among the ranks of two scenarios, the unadjusted rankings implied by participants' answers to the common PTO-UP procedure show on average one additional scenario ranked incorrectly.

This rank deficiency implies that the penalty matrix cannot simultaneously constrain all the parameters (phi _i) in (Phi); only (r = M-m) of them would be constrained.

But, since the generalized rank criterion implies that the error correcting code must be defined over a finite field where its dimension depends on the modulation order, the construction of full diversity STECCs for higher-order modulations cannot be realized in practice using this approach.

From Lemma 1, X G has full column rank which implies that 1 2 y - X G u 2 2 is strictly convex, and so is 1 2 y - X G u 2 2 + λ ∑ s = 1 G u s 2. Thus, (43) admits a unique solution.

The improved enrichment of true DEGs toward top of gene rank lists implies that it can help current DEG algorithms to achieve better performance as shown in next subsections.