To analyse these changes in greater detail, we re-divided the subvolumes into two groups, the proximal half (sum of 972 subvolumes from groups 1 4) and the distal half (sum of 972 subvolumes from groups 5 8) and recalculated their averaged structure, respectively.
Using pointwise upper bounds recently obtained by the first author, we first show that the heat kernel ht x, y) on a Riemannian symmetric space of the noncompact type GK is asymptotically concentrated in an annulus centered at y and moving to infinity with finite speed 2 ¦ϱ¦, ϱ being as usual the half sum of all positive roots of GK.
At each position of the alignment, the distribution in the ancestral sequence is a half-sum of the two distributions in the descendants.
An examination of the WinBUGS output for these places showed that the posterior mean of (V) represented more than half the sum of the posterior means of the random components ((U + V + delta)).
The most interesting case, of course, is uniformly difform motion, and Heytesbury shows the mean speed theorem, i.e., that a uniformly accelerated body will, over a given period of time, traverse a distance equal to the distance it would traverse if it were moved continuously in the same period at its mean velocity (one half the sum of the initial and final velocities) during that period.
The sum area of the pulmonary lesions in DB treated animals was less than half the sum of the lesions in the other groups (Table 3).
Therefore, the total proportion of missing bands would be half the sum of the two proportions for homozygotes: [(1 - F)(p2 + q)+ F]/2.
To express the effect size of the seasonality, a coefficient of cyclic variation (CCV) was calculated as the square root of half the sum of the squared coefficients of the Fourier terms.
For each ChIP-seq peak, we calculated the location of the peak center as half the sum of the start and end coordinates for the peak, and we used these locations for subsequent analysis.
For example, in Fig. 1 the area under the curve between points (0.26,0.46) and (0.47,0.53) is given by (0.47 - 0.26) × (0.46 + 0.53)/2 = 0.10 or, in other words, the difference between the x-values multiplied by half the sum of the y-values.
In this paper, the advection equation is written in the symmetric form, where the advection operator is the half-sum of advection operators in conservative (divergent) and non-conservative (characteristic) forms.
