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For a random distribution of current sheet separation distances, a diffusive transport across the stack of sectors occurs instead.
Analysis of the frequency distributions for misorientation angles in pure Ti using electron backscattered diffraction confirms a strong preference for the formation of these two types of HAGBs, with 78% of the HAGBs being classed as such, as compared to 36% which one would expect for a random distribution of variants.
However, the incidence of mutations in the D-loop is significantly higher than expected for a random distribution of mutations based upon the size of the region alone (23.2% of mutations vs 6.8% of total size of genome, p value<0.01, Chi Square Test).
Although the correlation is diffuse, the aggregation factors for LC = (30, 20, 16), in the Kohonen map of Figure 2, are respectively (2.3, 1.5 1.9) and their average value for all 27 classes is 2.4, being these values significantly greater than 1 (the average aggregation factor for a random distribution of classes on the map).
All results obtained were compared with values expected for a random distribution of codons, which were calculated considering the frequencies of random distribution of individual codons or amino acids in the genomes.
This number has to be compared with the numbers expected for a random distribution of character values along the cycle, given the overall distribution of the character values of χ.
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We tested for deviations from a random distribution of abnormalities, using log-likelihood ratio tests (SAS 2000).
For the case of a random distribution of spherical inclusions, exact relations between the elastic tensor and nth order structure factors are demonstrated.
Albarello and Lunedei (2011) and Lunedei and Albarello (2015) computed the energy densities for surface waves from a random distribution of surface sources (DSS).
A simple cubic array of particles is demonstrated to provide a reasonable estimate for the behavior expected from a random distribution of particles.
However, we have applied a statistical test to the spatial congruence which suggests that this is highly unlikely (the p value for the null hypothesis of a random distribution of FTLD co-ordinates within the FES spatial map was p = 0.001).
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