Sentence examples for sets of the sequence from inspiring English sources

Let (xi= xi_{k})_{-infty < k<infty}) be a strictly stationary sequence on a probability space ((Omega,mathcal{F},P)), and (mathcal{G}) be a σ-algebra of invariant sets of the sequence ξ and (mathcal{F}_{k}=sigma ldots,xi_{k-1},xi_{k})).

Then we employ our result to approximate a solution of the variational inequality problem over the common fixed point set of the sequence of quasinonexpansive mappings.

Now, we prove that the weak cluster point set of the sequence ({w^{k}}) lies in Ω, i.e., (omega_{w}(w^{k})subsetOmega).

The core set approach first determines a set of the sequences (P-core) that form the tree structure without multiple substitutions by using only the total deviation index.

Let H denote the set of all the sequence homologs.

It is straightforward to generalize these observations to the alignment of a nucleotide sequence against a set of sequences, the multiple sequence alignment among which is presumed given.

Generally, the test set consists of the sequences with motifs, while the control set contains the background sequences.

We found 3,351 multicomposite viral sequences (3% of the data set, 4% of the sequences in the network without singletons).

For every define as the closure of the set of terms of the sequence If is compact.

Once these conditions are set, the rest of the sequence is determined.

For each of these three sets of sequences, the score at each site was averaged over the sequences.