Sentence examples for complete exists from inspiring English sources

((X,D)) is complete; (exists x_{0}in X) such that (delta(D,T,x_{0})=c) for some finite (cneq 0).

By assumption (a) (i.e., ((X,d)) is (mathcal{R} -complete), (exists xin X) such that (x_{n}stackR} -completeightarrow} x).

As X is O̅-complete, (exists xin X) such that (x_{n}stackrel{d}{longrightarrow} x), which, on combining with (1), yields x_{n}uparrow x (4) Now, in lieu of (c), first, we assume that f is O̅-continuous.

Complete substitution exists between enstatite (Mg2Si2O6) and ferrosilite (Fe2Si2O6), and complete solid solution of iron for magnesium exists between diopside (CaMgSi2O6) and hedenbergite (CaFeSi2O6).

Though no complete specimen exists today, the birds were recorded at weights of up to 50 pounds.

Since is complete, there exists such that.

Since is complete, there exists a unique element such that.

Since is complete, there exists such that (224).

It should be noted, however, that not every complete object exists.

Since is complete, there exists a unique fixed point such that Next, we show that (3.52).

Since X is complete, there exists (x^) such that (x_{n}rightarrow x^in X).