Sentence examples for for each denoted from inspiring English sources

Since is and for, we have (A.5 It follows from (A.5) that (A.6 Then there exists a number such that for all and, which implies that there is a subsequence of for each, denoted by again, such that for each, and hence by Lemma 4.4 for all as.

For each, denote (2.2).

For each, denote the mapping by, where is the mapping defined as in Lemma 1.4.

For each, denote by the Banach space of all -adapted processes which are almost surely continuous in with norm (2.12).

Throughout this paper, we assume that,,, denotes the set of positive integers, and, for each, denotes the largest integer not exceeding.

In this section, a power-scaling coefficient is defined for each subcarrier, denoted as μ k [n].

Suppose a feature set F with m -dimensional features f l is extracted using l different types for each image, denoted by F=[f1,…f,…f m ].

Thus, to evaluate the connectivity between the cluster and its neighboring clusters, a connection value for each cluster (denoted as A) is calculated as follow.

Specifically, for each hexagon, denoted by, HBA schedules the transmisison from a provider u to its corresponding receptor v in, where (u,v ∈E b.

The phonons in the system are counted by n ˆ m = a ˆ m † a ˆ m, for each mode denoted by m.

For each subinterval, denoted as j, a participant will either be censored or have full observation, defined as dying within the subinterval or observation for the full subinterval.