Sentence examples for means of completeness from inspiring English sources

For means of completeness, we have added these occurrences as measurement error to our dataset.

The aim has been accomplished by means of completeness of wavelet bi-frames in Lebesgue spaces and stability of wavelet coefficients.

We give some characterizations of continuous linear operators and weakly unconditionally Cauchy series by means of completeness of the new sequence spaces.

It mainly comprises the identification of significant parameters and their evaluation by means of completeness, consistency, and sensitivity analyses (ISO 14044 2006).

We obtained the characterizations of continuous linear operator and weakly unconditionally Cauchy series by means of completeness of the space (Swidehat{F}(x)), and we extended the obtained results to weak topology.

We will characterize wucs by means of completeness of the spaces (Swidehat{F}(x)) and (Swidehat{F}_{w}(x)), and we will obtain necessary and sufficient conditions for the operator (T Swidehat{F}(x) (textrm{ and } Swidehat{F}_{w}(x))rightarrow X) to be continuous.

It is easy to prove that ((IR,|cdot|_{I})) is complete by means of the completeness of ((IR,H)).

However, motivating authors to establish inequality poses challenges, many of which can be overcome by means of the completeness of wavelet bi-frames in Lebesgue spaces and the stability of wavelet coefficients.

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).

For the sake of completeness, in Figure 6, the mean values and the standard deviations of the MFS for the four different bread types are shown.

However, for the sake of completeness, we also examined potential group differences in mean absolute errors (MAEs).