Sentence examples for Complete provided from inspiring English sources

(Note that our notion of (sequential) completeness of ((X,d)) coincides with the usual notion of right K- sequential) completeness of ((X,d^{-1})).) A quasi-metric space ((X,d)) is Smyth complete provided that every left K- sequentialin ((X,d)) is completenessof (tau_{d^{s}}) (compare Definition 8 in [4], [5], p.454, etc).

The metric space ( C ( X ), D ∞ ) is complete provided ( X, d G ) is complete.

The metric spaces and are complete, provided that is a complete metric space (see [1, 7, 17]).

Proposition 2.7 The metric space ( C ( X ), D G, ∞ ) is complete provided ( X, G ) is G-complete.

Further, we know that the metric space ((mathcal{CB}(X),d_{infty})) is complete provided ((X,d)) is complete (see [12]).

Moreover, a partial quasi-metric space ( X, q ) is said to be complete provided that the associatedquasi-metric space ( X, d q ) is bicomplete.

"Memoirs," which took 10 years to complete, provides an intimate portrait of his family there.

The peace agreement, which took two years to complete, provides for regional autonomy, local control over the province's natural resources and elections for an Acehnese legislature.

"We set up the press kit to show that Resvinatrol Complete provides all the benefits of red wine in a pill.

In the following, we will say that a topological poset ((X,tau,leq )) is ≤-τ-complete provided that every decreasing sequence ((x_{n})_{ninmathbb{N}}) in ((X,leq)) has a lower bound x to which it converges with respect to τ.

Dispatchers completed providing instruction in 81% of the chest compression cases and in 62% of the standard cases.