Sentence examples for by passing to a from inspiring English sources

Finally, by passing to a product of Fock spaces we realise, in the context of quantum stochastic calculus, the random walk on the dual of U n) first constructed by Biâne.

Moreover, by passing to a subsequence we may assume that is regular (see Lemma 3.1).

By passing to a subsequence, we may suppose that {x n } is regular.

Since as, we can assume (by passing to a subsequence if necessary) that (3.28).

(iii) Part (iiib) below is obtained by passing to a quotient in part (iiia).

By passing to a suitable subsequence if necessary, we may assume that ∥ u n ∥ ⟶ + ∞.

By passing to a subsequence if necessary, we may assume that (2.27).

Formula (4.12) is obtained from (4.10) by passing to a quotient in (z_N).

Clearly, formula (4.14) is derived from (4.12) by passing to a quotient in the variable (z_N).

(vii) Part (viib) below is obtained by passing to a quotient in part (viia).

Clearly, (4.6) is obtained from (4.4) by passing to a quotient in (z_N).