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This can be understood intuitively by remarking that light reflection on the mirror introduces a supplementary condition for the polarizations states of the forward and reflected waves: S L,t) − J L,t) = 0 at any time t.
Suppose that the set-valued maps T and S defined before satisfy the supplementary condition: For all (iin I) and ((x,y )in G_{S}), there exist (zin Txcapmathbb{K}) and (tin S (z )) such that max bigl{ a_{i}lVert x-z rVert_{mathbb{X}},b_{i}lVert y-trVert _{mathbb{X}} bigr} leqslant varphi_{i} (y )-varphi_{i} (t ).
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For the all examples, we consider the supplementary conditions from the exact solution.
The addition of the two supplementary conditions allows for a randomised test of the utility of structured planning on a broader sample, and non-randomised comparisons of the differential success rate of the QuitCoach as a function of participants' progress toward quitting at recruitment (no quit date, quit dates of various times in the future, or already quit).
Regarding SNVs and indels, the overlap between FF and experimental FFPE data sets was higher than in FF and initial FFPE data sets (Supplementary Figure S22B), except one condition for patient 004.
On the single subject level, we conducted one-sample t tests against zero for trials across different condition (for details see Supplementary Table 1) and found target related alpha ERD to be evident in 81% of the subjects.
The task comprised two conditions, an EFT condition and a control task condition (for example stimuli, see Supplementary Fig. 1).
Therefore, activation of multiple pathways is a necessary condition for proper midgut regeneration (Supplementary Figure S8).
supplementary material Fig. S5B represents the case in fluctuation-free condition for comparison.
The prerequisite condition for frost/thaw events, frozen soil, did not occur (Fig. 1, Supplementary Fig. S1).
To have an optimum condition for the performance of a combined cycle power generation, using supplementary firing system after gas turbine was investigated by various researchers.
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