Sentence examples for be another subsequence of from inspiring English sources

Let be another subsequence of such that converges weakly to.

Indeed, let be another subsequence of {y n } such that.

Indeed, let be another subsequence of such that.

Let { x n j } be another subsequence of { x n } such that { x n j } ⇀ x ¯.

Indeed, let { x m j } be another subsequence of { x n } such that x m j ⇀ x ˆ.

Let { x n j } be another subsequence of { x n } converging weakly to ξ ′, where ξ ′ ≠ ξ.

Suppose the contrary and let { x n k } be another subsequences of { x n } such that { x n k } ⇀ x ∗.

Suppose that there is another subsequence of which converges strongly to (say).

Suppose, for contradiction, that { y n j } is another subsequence of { y n } such that y n j → z ∗ ≠ y ∗.

Assume that ({v_{n_{l}}}) is another subsequence of ({v_{n}}) such that (v_{n_{l}}to y^) with (y^neq x^).

Let { x n i } be a subsequence of { x n } which is weakly convergent to x 0. Then x 0 ∈ D from step 4. Taking the limits on both sides of (2.17), we know that 〈 v 0 − y, v 0 − x 0 〉 ≤ 0. Letting y = x 0, we have x 0 = v 0. Supposing { x n j } is another subsequence of { x n } such that x n j ⇀ x 1 as j → ∞.