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]).

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

So, we establish the following criterion which can be used in this case.

Next, similar to the compactness criterion in [12, 24], we establish the following criterion, and it can be proved in a similar way.

It implies that the subcarriers should be assigned based on the following criterion: The above criterion requires to evaluate KN values of the rate given in Equation 5.

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.

After that, the integration will be carried out iteratively from top to bottom by following Criterion (1) and the heuristic strategy described above.

That implies minimizing the following criterion: (4).

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