Sentence examples for following criterion from inspiring English sources

The following criterion for compactness follows from an easy modification of [[25], Proposition 3.11].

The following criterion for compactness follows by standard arguments which appeared for the first time in [31].

The following criterion for the compactness follows by standard arguments (see, e.g., the proofs of the corresponding lemmas in [63, Proposition 3.11] or [64, Lemma 2.10]).

Sometimes the following criterion is easier to check than the one given in Corollary 3.6, but it follows easily from Corollary 3.6 as we always have for all.

That implies minimizing the following criterion: (4).

Li et al. [24] established the following criterion for (1.3).

The following criterion for the possibility of a BLEVE was formulated.

Integrating both sides of (4.11) and taking the imaginary part, we can get the following criterion.

Similarly, we have the following criterion for (1.1) in the case when (n=2).

Based on the sufficient conditions above, the following criterion can be obtained readily.

Then we introduce the characteristic longitudinal velocity v c ∗, according to the following criterion.