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The gradients arise due to the counts from each of the boxes, whilst the flat sections arise from the sections of air in between the boxes.

However, such applications are still harmed by the low photoluminescence quantum yield and narrow excitation bandwidth of upconversion nanoparticles, which can be attributed to the small absorption cross-sections arising from formally forbidden 4f 4f transitions of the dopants (e.g., Yb3+, Er3+, Ho3+ ions).

The temperature dependence of the differential Rayleigh scattering cross section arises from changes in the mean molecular polarizability and mean molecular anisotropy.

We found that most non-concordant practices relating to antibiotic prophylaxis for caesarean section arose from giving multiple doses or administering antibiotics pre or post operatively.

The multiplicative | x|2 factor in the running time in comparison with that of the previous section arises from considering all possible inverted substrings of x.

The request for designing or reconstructing objects from planar cross sections arises in various applications, ranging from CAD to GIS and Medical Imaging.

This temperature value is subject to considerable uncertainty, but as shown in the "Discussion of errors and approximation of results" section, the error arising from this uncertainty is not large.

As for the correlative approaches involving cryo-sections, additional complications arising from the 3D nature of the frozen samples argue for cryo-fluorescence imaging.

In addition the explanation of the methodology will serve as a comprehensive orientation for the methods section of publications arising from the research.

The following sections discuss how difficulties arising from the three requirements can be effectively addressed.

Results obtained on blending LLDPEs with linear or randomly branched polyethylenes are presented, and it is shown that the observed phase behaviour may be interpreted as cloud point curves arising from sections through phase diagrams of ternary blend systems.

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