Sentence examples for data can be proved from inspiring English sources

Continuity with respect to the initial data can be proved similarly to [6].

Indeed, for a simplified version, whose formulation is given by a degenerate problem on a rectangle, the existence and uniqueness of a solution under proper assumptions on the data can be proven.

Noticing that (Tu-Tv) is a dispersion Benjamin equation with nonlinear term (upartial_{x}u-vpartial_{x}v) with initial data (varphi=0), (3.12) can be proved by the bilinear estimates with (f=u+v) and (g=u-v).

However, our data suggest that, provided females can be proved immature by histological examination, their VTG concentrations can be pooled with those of males to increase the overall number of observations at each site.

And we remark that we can also obtain the global existence of strong solutions for the small initial data in the H2-framework, which can be proved in the similar way.

This requires an FFT randomisation protocol in an elite-athletes setting and remains a topic to be studied, rather than one that can be proved with our data.

Firstly the PPI data used in our study is adequate but in some cases can be proved insufficient.

The statement, "Government-provided health care increases public expenditures" is a positive economic statement, because it can be proved or disproved by examining health care spending data.

Neither thesis can be proved or disproved.

This can be proved as follows.

Axiomatic soundness and completeness can be proved.