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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.

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).

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

The meansquare endtoend distance on a twodimensional surface as a function of contour distance

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.

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.

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.
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