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In dynamos, which tend to exhibit significant temporal variability, it is more appropriate to approximate the current density using Ampere's law under the MHD approximation, J∼B/μ o ℓ B where ℓ B is the characteristic length scale of magnetic field variations (e.g., Cardin et al. 2002; Soderlund et al. 2012).
Continuous variables were transformed as appropriate to approximate conditional normality.
Log values were used when considered appropriate to approximate the normal distribution.
To better control for heterogeneity of variance, continuous variables were transformed as appropriate to approximate normality before inclusion in statistical models.
If the process-time is smaller than the waiting-time, then a step-wise update rule is appropriate to approximate stressosome dynamics because the system appears step-wise regarding the waiting-time.
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The method involves the partitioning of the entire plate domain into appropriate elements to approximate the deflection function of each element by a set of admissible orthogonal polynomials.
The main aim of an interpolation problem is to find an appropriate model to approximate (f(x) ) at any arbitrary point of ([a,b] ) other than (x_{j} ).
When setting the more appropriate parameters to approximate FARMS and stepwise methods (selection based on BIC and setting the model with forced-in variables as baseline model), forward selection provided a slightly worse model when using HLA variables; otherwise, the models obtained with FARMS and stepwise methods were the same and only differed in the time needed.
Thus, it is not appropriate to use the approximate solution for interpreting the results of an infiltration tracer test.
In the absence of any available external calibration, we believe that our rate distribution prior, which encompasses these values, is appropriate to obtain an approximate estimate of the time-scale of the diversification of this group (although see Discussion for the possibility of faster substitution rates).
Next we find an appropriate probability function to approximate the calculated curve in Figure 1.
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