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The theoretical development put forth in Part II of this paper is applied to several two-dimensional, spatially periodic porous media in order to determine components of the dispersion tensor for Peclet numbers ranging from 1 to 104.
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Computationally inexpensive numerical models for determining components of the mean and fluctuating velocity fields through and around windbreaks are developed for fast and routine calculations such as the estimation of the impact of windbreaks in land management applications.
Two clustering approaches were used to determine components of variation in the data in this study as follows.
Principal component analysis (PCA) was used to determine components of variation in the data whereby patterns can be identified that discriminate samples (i.e. rim from core) [ 15, 16].
This serves to highlight that resistance to polymerization does not of itself indicate interference with the irreversible (and thus kinetically determined) component of the pathway.
The Tucker3 [ 24] analysis was used to determine components for each of the three modes: Sample, GeneID, and GO.
Assuming the regularity conditions for ξ and T ∗ the solutions of (23) are obtained in terms of the spherical Hankel function, (23) representing an ordinary differential equation with variable coefficients of order four; from this equation we can determine the components of the displacement U and the temperature T, and finally determine the components of the stress.
Principal components analysis determines components which are representing the variability of the mutations.
They allow us to determine the components of the acoustic scattering matrix of the orifice.
There is therefore a need to determine which components of the environment may be contributing to this increase.
Global structural analyses using the developed FE model are presented to determine the components of the nominal stress generated by railway loadings and some typical highway loadings.
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