end{aligned} (3.2) Since ({w_{n}}) is bounded in P, we may assume for some (w_{0}in P), by passing to a subsequence if necessary, that (w_{n}rightharpoonup w_{0}in P).
Moreover, whereas weight losses of NC2 and NC3 at 262 °C (Table 2) exceed sums of their LSA contents and PS loss (3.02 and 3.7, respectively), one may assume that some enhancement of the thermooxidative degradation of the PS core component of the nanocomposites can be caused by degradation products of the dopant.
Therefore, one may assume that some bacteria-specific evolutionary stress might be responsible for the deletion of this primordial domain.
Although one may assume that some of these diseases may improve in response towards a therapeutic intervention and during time anyway, more than 95% of these patients had median disease duration of 3 years (IQR 0.5 – 9.8 and 1.0 – 8.5, respectively), and thus a suggested "spontaneous recovery" of symptoms with the onset of AM interventions in all cases is implausible.
With respect to the questions that cover the environment domain in our study, we may assume that some other factors, like employment status, income, and living conditions [ 53], in addition to husband's disease influenced the low QoL in environment domain.
We may assume that under some circumstances the submission to the jury of part only of the matters alleged in the indictment might resuit in such surprise to the defendant as to amount to the denial of a fair trial.
If for any without loss of generality, we may assume that for some Let.
Let (V=Y_{k}:=widetilde{X}). Arguing indirectly, we may assume that for some sequence ({u_{n}}subset V) with (Vert u Vert rightarrowinfty), there is (C>0) such that (I u_{n} geq-C) for all (nI u_{n} geq-C
Let be such that Since separates points on, we may assume that, for some Since the mapping is continuous, there exists a neighborhood of in such that for all Therefore, is half-continuous.
