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First, it is shown that if the correlation volume exhibits two dimensional scaling, e.g. grows in two dimensions more rapidly than in a third orthogonal direction, the standard Vogel relation is obtained.
More significantly, the dynamic correlation volume, a measure of the degree of cooperativity of the dynamics, was also unaffected; that is, values of the correlation volume for confined PMMA were equal to those of the bulk polymer when compared at the same τα.
In addition, this correlation analysis provides an estimation of the local error of image alignment by measuring the displacement of the correlation peak within the correlation volume: this error was systematically below the cell size, corresponding to the error on cell position estimation (5-10 µm, i.e. the average diameter of a RG cell).
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The correlation volumes are calculated for aqueous solutions of methanol, ethanol, propanol and isopropanol.
The integral correlation volume obtained using this model is about 0.2δ3L with the length scale obtained from its cube root being about 0.6δL, where δL is the laminar flame thermal thickness.
For the in vitro studies, the correlation between volume of distribution (Vd) as a function of MW was determined by measuring the T1 of the infused tracers, into 0.6% agarose gels through a multiport catheter.
The correlation between volume changes and follow-up time was evaluated using Spearman's rank correlation.
To the best of our knowledge, no studies about the correlation between volume and density of fresh-frozen homologous bone are available in scientific literature.
This association remained significant when the correlation between volume of localised and total white matter hyperintensities was taken into account (5.8, 1.2 to 27.8, P for trend 0.02).
The covariance of volume captures the correlation of traffic volume changes between two lanes (i.e. traffic moving from lane 1 to lane 2 creates a volume reduction on lane 1 and subsequently a volume increase on lane 2).
To evaluate the correlation of retrobulbar volume change, resected orbital fat volume, and proptosis reduction after fatty decompression.
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