Sentence examples for hence closed from inspiring English sources

If is weakly closed and is weakly continuous, then is weakly closed and hence closed, thus we obtain the following.

By Lemma 2.3, there exists such that since is compact and hence closed.

As the Vietoris topology and the Hausdorff metric topology coincide on [18, page 17 and page 41], is compact and hence closed.

A type of differentiation control that is maintained during DNA replication is the methylation of DNA, which tends to recruit histone deacetylases and hence close up the structure of the chromatin.

Hence closing a virtuous circle.

Once the liquid, by wicking action, reached the place where the potentiometric cell was pressed onto the textile, hence closing the electric circuit, the potentiometric response was obtained.

We note that the addition of more receive antennas reduces the ABER and hence closes the gap between the analytical and simulation results.

The outgoing connectivity pattern in Fig. 2E matches perfectly the incoming pattern observed in Fig. 2H, hence closing the loop.

Hence, closer military ties between the two allies are crucial.

Hence, closer working relationships between central municipal government and public private/voluntary sectors were recommended.

Hence close proximity of the microorganisms to the TiO2 NPs is needed for good bactericidal activity.