Sentence examples for sets of weakly from inspiring English sources

Here, and denote the sets of weakly minimal point of and weakly maximal point of, respectively.

We will often be concerned with the following sets of weakly null sequences: N X : = { ( x n ) : x n ∈ S X, x n → w 0 X }. and M X : = { ( x n ) : x n ∈ B X, D [ ( x n ) ] ≤ 1, x n → w 0 X }.

For example, two sets of weakly expressed genes may have similar values of codon adaptation index but still possess vastly different codon preferences.

On the other hand, the GPI algorithm, and to an even larger extent the EPI algorithm, down-weight the contributions from genes with poor statistical significance, favoring small sets of strongly differentially expressed genes rather than large sets of weakly differentially expressed ones.

Proper rescaling of the variables and parameters of the equations of motion leads to a set of weakly non-linear equations of motion to which the method of averaging is applied.

In the backend, YouTube's sound captioning system is based on a Deep Neural Network model the team trained on a set of weakly labeled data.

Denote by S the set of weakly efficient solutions of problem (GSIMP).

In the optimization problem corresponding to each parameter valued, our aim is to find the set of weakly minimal points of the feasible objective valued set.

Many studies have focused on the setting of weakly coupled oscillators, in physics; see [8] for a review, in mathematics [9, 10], and in neuroscience [11].

Denote by ω w ({x n }) the set of weakly sequential limits of the sequence {x n }, that is, ω w ({x n }) = {p : there exists a subsequence of {x n } such that }.

The cardinality of a set J will be denoted by J. T ϵ n X denotes a set of strongly ϵ-typical sequences x n ∈ X n, while A ϵ n X denotes a set of weakly ε-typical sequences x n ∈ X n, where ϵ > 0.