Sentence examples for closed thus from inspiring English sources
Since a n ∈ K 1 ( x n, u n ) and K 1 is upper semicontinuous with nonempty closed values by Lemma 6(i), hence K 1 is closed, thus we have a 0 ∈ K 1 ( x, u ).
If is weakly closed and is weakly continuous, then is weakly closed and hence closed, thus we obtain the following.
The administration has chosen to keep this office closed, thus denying Americans protection from noise.
The reason offered — that naming the location would upset Saudi citizens to the point that the base might have to be closed, thus hampering America's counterterrorism efforts — doesn't cut it.
The UN declared the period for demobilisation closed, thus in effect ending its protection of rebel troops.Jostling for powerThe Hindu-nationalist Bharatiya Janata Party won the biggest number of seats in the Indian general election but was short of the 272 needed to form a government.
Since is closed, thus Now by uniqueness of limit we conclude that.
In this device, a decrease in room temperature causes an electrical switch to close, thus turning on the heating unit.
The elegy closes thus: Today I know it's hopeless to try to clothe a man in words, make him live again on the written page, especially a man like Sandro.
By Lemma 2.6, and since (rho _{f}) is continuous, we see that (C_{x}^{f}) is (rho _{f} -closed, thus (rho _{f} -closedthusly complete since X is (rho _{f} -sequentially complete.
These protocols are closed and thus they have not a publicly accessible documentation.
Since T is closed graph, thus there exists v ∈ X such that Tv = u.
