Sentence examples for finite index from inspiring English sources

When (n=2), we remark that the finite index condition can be omitted, since the finiteness of the (L^{2}) norm of the second fundamental form implies that M has finite index, which was proved by Bérard et al. [11].

Suppose M has finite index.

The idea iterates to cover all types of finite index.

Hence the iteration must stop at some finite index k.

Let J be a countable (or finite) index set.

Let I be a finite index set and (iin I).

where and are two finite index sets, and.

Let Λ = { 1, …, ℓ } be a finite index set.

Let Λ ^ 1 be a finite index subgroup of Λ1and Λ ^ 2 a finite index subgroup of Λ2.

Suppose Γ1is a finite index normal subgroup of Π1and Γ2is a finite index normal subgroup of Π2such that f× Γ1) ⊂ Γ2and g×(Γ1) ⊂ Γ2.

Let (I_{m} ) denote the finite index set (lbrace1,2,ldots,m rbrace).