The translational mobility of smaller simpler moieties depends less on the time scale or equivalently, the length scale of observation in the PFG NMR experiment.
Equivalently, the sum scaled down by (frac {sigma ^{2}}{2}) (i.e., multiplied by (frac {2}{sigma ^{2}})) has a (standard) Chi-squared distribution with 2U c degrees of freedom.
2) Does the scale function equivalently for pregnant and non-pregnant women?
Specifically, with a log-polar retinotopic mapping, the diffusion equation that governs the evolution properties over scale can equivalently be expressed on a log-polar domain (Lindeberg and Florack 1994).
Therefore, the present study used the Body Attitudes Questionnaire [ 19] to address the following two key research questions: 1) Does the scale function equivalently across three time points in pregnancy?
Cultural differences in the health of one's reference group, different expectations of one's health, and differences in response style, or in the connotation of the symptom questions, may play a role, so that it is uncertain whether the symptom scales function equivalently in all three groups.
In this circumstance, a scaled inverse of the residual variance being or equivalently (5) which can be used for weighted regression analyses treating marker effects as fixed or random.
Numerical characterization suggests that for three-dimensional problems the size threshold of scale-decoupling, or equivalently the minimum size of deterministic RVE, is approximately between 10 and 20 times of "correlation diameter" based on a range of accuracy criteria between 1% and 0.1%.
This issue can be avoided by scaling data values (by a factor 10 for example), or equivalently, use a different prior for σ.
PCoA, equivalently multidimensional scaling, is computed as per the R function cmdscale, and the phylogenetic tree is constructed using Fitch Margoliash algorithm (Fitch and Margolia, 1967).
