Sentence examples for we suppose additionally from inspiring English sources

Second, we suppose additionally that A ℓ (L 2 ⊆ H 1. Then, the H -stability (78) yields that A ℓ ∈ L 2 (H 1 ; H 1 are uniformly continuous operators. For v ∈ H 1, the sequence (A ℓ v ) ℓ is hence bounded in H 1 and thus admits a weakly convergent subsequence A ℓ k v → w weakly in H 1 as k → ∞.

Suppose additionally that (4.8).

Suppose, additionally, that x 0, y 0 ∈ X are comparable.

Let G be an n-dimensional oriented, connected, simply connected, nilpotent Lie group and Λ a uniform lattice in G. Let {a1,..., a n } be a set of generators of Λ and write b i = log a i, then {b1,..., b n } is a basis for the Lie algebra g corresponding to G. Suppose additionally that the basis {b1,..., b n } is positively oriented.

Additionally, we suppose μ s >μ d, which is naturally well accepted.

Poetry, we suppose, is special.

We suppose it could have been worse.

where we suppose that.

So, we suppose that.

We suppose D ≠ ϕ.

We suppose (otherwise ).