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Of central importance in the collective worship of the dead is the visit of the departed members to their old home; among the Eastern Finno-Ugric peoples this approximates with the Christian feast of Easter, and among the Western it is in late autumn (e.g., the Finnish Kekri, November 1, an ancient festival to celebrate the seasonal change).

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Note that this solution approximates with satisfactory accuracy that one obtained using the finite element method with a grid of around 2300 points - see Figure 4(a) -.

A thin rectangular stainless-steel plate has been inserted in a metal frame; this constraint is approximated with good accuracy by the newly introduced boundary condition.

The microbiome divergence in this study was approximated with the Unifrac distance (Lozupone et al., 2011), which is also a phylogenetic measure of overall bacterial relationships, taking into account both the abundance of bacterial taxa, as well as their positions in a phylogenetic tree.

To simulate transfection of MITF, the MITF production rate was elevated from 1 to 7. The amount of RSK1 is not dynamically determined in the model, and thus the transfection of this product is approximated with an elevation of the static amount from 500 to 5000.

To simulate the transfection of MITF, the MITF production rate was elevated from 1 to 7. To simulate the transfection of PIAS3, the PIAS3 production rate was elevated from 1.262 to 4. The amount of RSK1 is not dynamically determined in the model, and thus the transfection of this product is approximated with an elevation of the static amount from 500 to 5000.

This revealed that for lower thresholds this trend could be approximated with a power law distribution, where a two-fold increase in the threshold led to a four-fold decrease in the number of genes expressed above that threshold.

This model is further approximated with multidimensional piecewise-linear functions to a desired degree of accuracy with respect to simulated behavior.

This data can be approximated with a sigmoid function: f(x)=frac{x}{sqrt[a]{b+{x}^2}}, (1 where ( mathrm{f}left(mathrm{x}right) ) is the share of LNG and x is a year in the forecasts used, and a and b determine the shape of the curve.

This gamma prior was approximated with the MASS package of R software, using the posterior distribution of the product of node ages (in years) and mean evolutionary rates (substitutions/site/year) obtained in the mcmctree program as described above.

Under this assumption, (10) can be approximated with (11).

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