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Only in the GMUS group, discontinuity could be observed, a proof that MUS created a stronger cavitation than US alone.
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In our case, as it will be observed in the proof of our main result, we assume just that u is a nontrivial solution to (1.1).
This relation can be observed from the proof of the PMP.
Our primary intention was to exploratively investigate whether changes in self-efficacy, autonomy and participation could be observed after SCDP (proof of concept) and at what time points eventual changes were most prominent.
As our intention was to explore whether any changes could be observed after SCDP (proof of concept) and at what time points eventual changes were most prominent, we choose to compare each outcome at each time point with its baseline, by using multiple paired Student T-tests.
With regard to CIMULACT, real interest by the European Commission can be observed, proofed by first soliciting such a project and secondly by actively being interested the projects' progress and intermediate results.
7 No statistically significant difference in efficacy was observed in a proof-of-concept study in the treatment of crow's feet 6 and in the treatment of forehead lines 9 using a 1 1 dose ratio of the two products.
Uniqueness of u can be observed as in the proof of Theorem 3.4.
This assumes normality of the UMVCUE, which has been observed without proof [ Bowden and Glimm, 2008]; but alternatively a quantile-based interval could easily be obtained from the bootstrap replicates to relax this assumption.
Given the conservation of several other properties of Purkinje neurons between fish and mammals, and in light of earlier in vitro experiments in mammals where bistability was observed, the proof for bistability in zebrafish Purkinje neurons in vivo can be taken as proof of its existence in mammals in vivo.
Similar effects were observed in a small proof of concept study in patients with acute decompensated heart failure [ 56].
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