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Examples
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If we map the mean-square displacement of the child as a function of time, we could determine the diffusion coefficient of a nine-month-old though the presence of the walls complicates it a bit.
What babies are up to. Ann Althouse 2009
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In order to avoid an additional procedure of statistical transformation of local tree-ring index series into normalized values of summer temperature variation, each of the local chronologies was normalized to the mean-square deviation in the generalized curve for the Asian subarctic region [23].
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Superimposition of all crystals gave a mean backbone RMSD (root mean-square distance) of ca. 0.5 Å (all-atom RMSD ca. 1.5 Å).
PLoS ONE Alerts: New Articles Matthias Negri et al. 2010
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For long three-dimensional chains and strong surface interactions a 3D-to-2D projection model was assumed and a broad distribution of the calculated mean-square end-to-end-distances for long DNA-fragments was reported
PLoS ONE Alerts: New Articles Norbert Mücke et al. 2009
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The mean-square end-to-end distance on a two-dimensional surface as a function of contour distance
PLoS ONE Alerts: New Articles Norbert Mücke et al. 2009
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The communication propensity (CP) of any pair of residues is defined as the mean-square fluctuation of the inter-residue distance, defining dij as distance between the Cα atoms of residue
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Recent studies demonstrate that proteins show anomalous diffusion - i.e. a mean-square displacement whose time dependence is weaker than linear - in the cytoplasm
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Monte Carlo steps were done successively until the chains reached the mean-square end-to-end distance expected for a relaxed chain.
PLoS ONE Alerts: New Articles Norbert Mücke et al. 2009
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To extract parameters that can be used to compare the fibers quantitatively, we plotted the cosine of the mean-angle, the fourth moment, the mean-square angle and the mean-square end-to-end distance against the filament contour length, and fitted these data with the equations given in the theory part.
PLoS ONE Alerts: New Articles Norbert Mücke et al. 2009
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The apparent polymer flexibility, expressed as a persistence length, was then calculated from both the experimental and the theoretical data sets using three different procedures as described above: calculation from the mean-square end-to-end distance as function of contour length, from the decay of the average cosine of the bending angle with the contour length, and from the mean-square bending angle as a function of contour length.
PLoS ONE Alerts: New Articles Norbert Mücke et al. 2009
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