Sentence examples for and if the completion from inspiring English sources

In the light of Remark 2.3, Proposition 2.5, and Proposition 2.6, we can see that if H is a countably Hilbert space and if the completion of H in the inner product (langlecdot, cdot rangle_{n}) is denoted by (H_{n}), then by definition, each (H_{n}) is a Hilbert space, hence (H = bigcap_{n = 1}^{infty} H_{n}) and (H^ = bigcup_{n = 1}^{infty} H_{n}^).

We also evaluated the proportion of questionnaires completed for each topic and tested if the completion rate was influenced by the order of delivery of the DBoxes.

If (gamma ) is a regular specialization then the Leavitt path algebra (L(Gamma )) is prime if and only if the completion ({widehat{L}}(Gamma )) is topologically graded simple.

Alteration agreements also typically specify when the work must be completed and impose penalties if the completion date is not met.

The contract is fulfilled once the job is complete and you have paid for the services, even if the completion date is in advance of the original estimate.

They announced that it would "not end, but be suspended" if the completion of the two-year search of a 120,000 sq km arc of the southern Indian ocean west of Australia fails to yield any new evidence.

If the completion times are same then a job is randomly chosen for sequencing.

On the other hand if the completion ({widehat{L}}(Gamma )) is topologically graded simple then it is topologically graded prime.

On the front end, I included studies that listed their completion date as 28 September 2007 or beyond, reasoning that if the completion date was on or after the 28th, then the study must have been ongoing as of the 27th.

The client was obsessed with early completion and failed to understand the impact on cost and the completion date if high-quality work and a complex building were required.

You know, he was working on a third book which never got done and would be interesting to see– if he'd lived long enough– to see that book and the completion, if the world would be a different place today.