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Physicists said the chance that these results were a fluke because of random fluctuations in the background of normal physics was about 1 percent, which is too high to claim a discovery, but is enough to inspire excitement.
However, because of random fluctuations, the system occasionally moves from configurations having large entropy to those of smaller entropy and eventually even returns to its starting state, in defiance of the second law of thermodynamics.
Inconsistencies arise because of random fluctuations (and maybe nonrandom ones as well) with time and intervening events.
According to this model, the square root of the CD4 count falls along a linear mean trajectory starting from a subject-specific baseline (set point ai) and is characterized by a subject-specific slope (decline rate bi); actual CD4 counts depart from this line because of random fluctuations, laboratory imprecision, and model incomplete accuracy.
Intuitively, if X i (t k ) happens to be below its expected value because of random fluctuations, then the following increment D i (t k + 1) can be expected to be bigger as a result, while the previous one D i (t k ) will be smaller.
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Players might put up better numbers because of random fluctuation, pitching match ups or a good manager, while a team could outperform its projections because of a good manager, random fluctuation or several other factors.
This change is unlikely to be the result of random fluctuations because the difference was quite consistent across multiple years.
Furthermore, it eschews (implausible) Markovian assumptions about the serial independence of random fluctuations.
Deviations from 0.5 are the result of "random" fluctuations in the experimental system.
Verification of normality of the frequency distribution of random fluctuations is particularly relevant.
Rather guidance stems from the succession of random fluctuations of UNC-40 localization.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com