Sentence examples for where completeness from inspiring English sources
These two approaches are combined in the growing literature on fixed point theory for partially ordered complete metric spaces (e.g., [3 11]), where completeness still plays an indispensable role.
He accused its editors of "debasing our language" and expressed his exasperated confusion as to where "completeness ends and madness begins".
Further, in [53] simply connected complete Kobayashi-hyperbolic manifolds (X) with (dim G(X)=N^2) were studied, where completeness means the completeness of the distance (K_X).
The scope of our basic theorem is illustrated by new classes of examples, namely, exterior "Rooms and Passages -domains, where comPassages -domainsand exterior "Jelly Roll"-domains, where it fails.
Our methods should be applicable to other tasks where the resolution problems are produced mechanically and where completeness is less important than achieving a high success rate with limited processor time.
The variables used for developing the new score had at least a 20% rate of missing values, created by arbitrary deleting some real observations (except for age and injury severity where completeness was required).
Following this process, a face-to-face discussion was held with all the respondents where completed questions were reviewed for completeness and accuracy.
Moreover, for every (x_0in X), the Picard sequence ({f^nx_0}) converges to x. f is continuous, The proof is omitted as it is very similar to that of [18, Theorem 2.4] and [3, Theorem 2.2] where the completeness of the whole space is utilized rather than the completeness of the orbit of f.
The same applies where adjusted completeness are concerned.
This makes possible to use an iterative scheme where, the completeness assumption for the prior knowledge can be eliminated.
Pharmacy refill approaches have not been extensively tested in settings with manual dispensing records, where data completeness and quality may be problematic.
