Sentence examples for necessarily complete from inspiring English sources

For instance, there are many results in which the metric space is not necessarily complete (this condition has been replaced by the completeness of an appropriate subset) and, even more, we do not need to consider a metric space (many results have been demonstrated by using quasi-metric spaces and pseudo-quasi-metric spaces).  .

For instance, there are many results in which the metric space is not necessarily complete (this condition has been replaced by the completeness of an appropriate subset) and, even more, we do not need to consider a metric space (many results have been demonstrated by using quasi-metric spaces and pseudo-quasi-metric spaces).

The league's reversal is not necessarily complete.

Documents are not necessarily complete, though some are.

As of 1 a.m., the group had succeeded in maintaining wakefulness, if not necessarily complete mindfulness.

Note: Students who need to complete 135 units at Stanford, should necessarily complete CME master's requirements.

These payments may differ from starting point to starting point and may not be necessarily completed in one period; therefore the net present value of the investment I will be applied.

In addition, in order to minimize congestion rent and the number of congested transmission lines, some lines that have not necessarily completed their life spans should be upgraded to higher voltages as well.

To enter period III, patients had to have been treated in (but not necessarily completed) period II.

Patients in early 2nd line treatment ("switch maintenance") will be offered training after 12 weeks, although they have not necessarily completed chemotherapy.

Of the interviewed women, 50.4% (228/452) reported never being married, 63.7% (288/452) had a university level of education (not necessarily completing university) and 51.6% (233/452) were employed.