Sentence examples for were formally obtained from inspiring English sources

Some exact solutions for these equations were formally obtained by applying the first integral method.

Written informed consents were formally obtained from the participants who took part in this study.

The PDF (p x,t)) can be formally obtained from (P[x t)]) by marginalizing over the interior points of the function (x t)).

Under these circumstances, the response of the noise control treatment can be formally obtained by means of convolution integrals involving simple analytical kernels (i.e. Green functions).

In current wind design practice, static wind loads are usually defined to obtain, by simple static analyses, the extreme values of any structural response that would be formally obtained with a strict dynamic buffeting analysis.

Patients who agreed to participate were explained the nature and the objectives of the study, and informed consent was formally obtained.

As mentioned, here we target only the marginal posterior of α, which is formally obtained as (5) π (α | D ) = ∫ ℳ π (m ˜, α | D ) d m ˜, where ℳ is the domain of possible values for m ˜.

8 of the 26 patients were treated at the previous institution of the senior author (PAC), at which time quantitative functional outcomes were not formally obtained as part of follow-up visits.

Two patients were formally employed.

Equations (1) and (2) can be formally solved to obtain the analytical expressions of C g and C t.

The observer theory initiated by Luenberger is formally employed to obtain the kinetic equations and discuss the properties of the approximately lumped system.