Sentence examples for i imply from inspiring English sources

This result and (i) imply that.

On the other hand, the boundary condition u ( 1 ) = 0 and assertion (i) imply ∫ 0 1 − b u ′ d t < b 2 a.

Let x ∈ D. Our assumptions on the mappings T i imply d ( x n, x n + 1 ) ≤ λ ( x n ) - λ ( x n + 1 ), for any n ≥ 0. In particular we have ∑ k = n k = n + h d ( x k, x k + 1 ) ≤ λ ( x n ) - λ ( x n + h ), for any n ≥ 0 and h ≥ 0. On the other hand, we have λ xn+1) ≤ λ(x n ), for any n ≥ 0. Therefore the positive sequence (λ(x n )) is convergent.

This and Lemma 7.4 (i) imply R -linear convergence of η (T ℓ ; U ˜ (T ℓ ) ) and hence  (7.6).

You infer; I imply".

Did I imply that I thought?. ..".

so assumption (i) implies (3.7).

i d ( x i, y i ) implies ?

Condition (i) implies that must be in.

First, we prove (i) implies (ii).

First, we prove (i) implies (ii)(a).