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To that effect, analytical expressions of the solutions of the pertinent equations of motion have been obtained via symbolic manipulation software, and have been used to carry out an extensive parametric study.
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We employed the fixed-effect analytical model first to pool results of the included studies, and the I statistic [ 18] was used to test for statistical heterogeneity.
Section 4 describes the survey data, the construction of variables, and our multi-level random effects analytical strategy.
To minimize the effect of analytical variability all samples from the same patient were tested in the same analytical series.
In general, constitutive equations developed in literature to represent the anisotropy induced by the Mullins effect present analytical forms that are not adapted to finite element implementation.
We highlight various aspects of this multi-element analysis approach, including the design of systems for simultaneous HG and PN, selection of (compromised) working conditions and their effect on analytical figures of merit, and applications to the analysis of real samples.
While this is also a common effect of analytical channel models, there is no connection here.
It should be noted that low-angle boundary widths are a fraction of the diameter of SHRIMP pits (Figs 3, 6 and 7), and the actual U-Th enrichment in low-angle boundary domains is more extreme than the data shows due to the homogenization effect of analytical volumes during SHRIMP analysis.
Setting this threshold higher than 1 reduces the effect of analytical artifacts and atypical fragments.
In addition to environment effect, the analytical variation (including e.g. matrix effect) could also contribute to lowering the QTL detection below the threshold.
(in press), that in individuals vulnerable to EDs lowered weight may amplify the effect of analytical processing on stress-induced cognitive reactivity.
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