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In our experiment we left fluctuations in focus uncorrected.
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Long-term drift and linear approximation (left); tidal fluctuations after drift removal (right).
Data after 31/8/2008 were intentionally left out because fluctuations, caused by the economic crisis which broke out in September 2008, might render transaction data unsuitable for the purposes of the present study.
There were, however, certain fluctuations left up to chance, as in the maps where the ocean is pink rather than blue.
Figure 4 corresponds to σ 11 = 5.5, σ 21 = 7.5, σ 31 = 5.5, σ 12 = 5.3, σ 22 = 6.8, and σ 32 = 5.7, and the comparison of Figures 3 (left) and 4 (left) suggests that the fluctuations of at least one of the curves increase as the noise level increases.
These density fluctuations then left tiny variations in the temperature of the CMB across the sky and, much later, seeded the formation of the galaxies.
The ensemble average of the fluctuations (xi left( {mathbf{x}} right)) satisfies (leftlangle {xi left( {mathbf{x}} right)} rightrangle = 0), where the angle brackets mean the ensemble average.
Such large-scale climatic fluctuations have left signatures in the genetic structure of high-elevation taxa worldwide [ 2, 4, 6– 8].
correlation in the lap-by-lap Δrate (left ) and ΔCOM (right ) fluctuations for overlapping V1-CA1 cell pairs on different days.
(B ) B -factors from the basal TLS model (left) and rms atomic fluctuations (right) in the ensemble model averaged per residue.
The results of both the 1.5- and 3-Hz simulations showed no apparent differences in the amplitude level variance between the two wave types in the weak wavefield fluctuation regime ( left({sigma}_{chi}^2<0.17right) ).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com