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In processes involving complex flow pattern such as two-phase flows, it is difficult to represent the model parameters in a prior form.
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For those who did not get the message, the Treasury rammed it home: the move underlined that they "will not be allowed to retain profits, rebuild capital, and return to the market in their prior form".
Whatever the value of Patch now, it had essentially zero in its prior form other than non-financial human capital.
Clearly, it would be an inexcusable mistake to reconstitute them as private companies in anything close to their prior form.
The prior form is incorporated in the estimating of the covariance matrix to achieve an accurate estimate relative to the local training scheme.
Informed consent will be obtained from each patient in a written form prior to randomisation.
Participants were provided with a participant information sheet (Additional file 3) and participant consent was recorded verbally and in a written form prior to the interview taking place.
The acidified digestion conditions developed for this research simplified the reducing-end mixture so glycans were in a single form prior to reduction.
Patient consent was obtained in a written form prior to surgery, as per the protocol approved by the IRB of KMIO.
A shape prior in form of a series of ellipses is used next to model the contours of the human skull in various 2D slices in the sequence.
The song has never been performed live, although it was rehearsed extensively in an acoustic form prior to the third leg of the Zoo TV Tour in 1992.
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