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Examples

If we map the meansquare displacement of the child as a function of time, we could determine the diffusion coefficient of a ninemonthold though the presence of the walls complicates it a bit.
What babies are up to. Ann Althouse 2009

In order to avoid an additional procedure of statistical transformation of local treering index series into normalized values of summer temperature variation, each of the local chronologies was normalized to the meansquare deviation in the generalized curve for the Asian subarctic region [23].

Superimposition of all crystals gave a mean backbone RMSD (root meansquare distance) of ca. 0.5 Å (allatom RMSD ca. 1.5 Å).
PLoS ONE Alerts: New Articles Matthias Negri et al. 2010

For long threedimensional chains and strong surface interactions a 3Dto2D projection model was assumed and a broad distribution of the calculated meansquare endtoenddistances for long DNAfragments was reported
PLoS ONE Alerts: New Articles Norbert Mücke et al. 2009

The meansquare endtoend distance on a twodimensional surface as a function of contour distance
PLoS ONE Alerts: New Articles Norbert Mücke et al. 2009

The communication propensity (CP) of any pair of residues is defined as the meansquare fluctuation of the interresidue distance, defining dij as distance between the Cα atoms of residue

Recent studies demonstrate that proteins show anomalous diffusion  i.e. a meansquare displacement whose time dependence is weaker than linear  in the cytoplasm

Monte Carlo steps were done successively until the chains reached the meansquare endtoend distance expected for a relaxed chain.
PLoS ONE Alerts: New Articles Norbert Mücke et al. 2009

To extract parameters that can be used to compare the fibers quantitatively, we plotted the cosine of the meanangle, the fourth moment, the meansquare angle and the meansquare endtoend 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

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 meansquare endtoend distance as function of contour length, from the decay of the average cosine of the bending angle with the contour length, and from the meansquare bending angle as a function of contour length.
PLoS ONE Alerts: New Articles Norbert Mücke et al. 2009
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