In our routine inversions, we set the radial distances of the partial and symmetric ring currents; the location of the up and down currents in the partial ring current, and the L-shell on which the field-aligned current of the wedge flows.
The algorithm uses three additional matrices to store the accumulated distance of the optimal partial warping path found (AD), the length of the path (L), and the path itself.
When motion patterns are represented by a finite set of prototype trajectories, the distance of a partial trajectory to a motion pattern is measured by its similarity with the prototype trajectories.
First, metrics need to be defined to measure the distance of a partial trajectory to a motion pattern.
It is demonstrated that the use of the splitting distance assumes the existence of the partial dislocations and therefore can not account for nucleation criteria.
However, upon introducing char into the bed to simulate the reducing atmosphere in an FBG, oxygen was rapidly consumed within a short distance of the distributor, by significant partial oxidation of both propane and its decomposition products to carbon monoxide.
Bivariate correlations obtained using genetic (≥98%, <98% homology), Euclidean (≤5, >5 km), temporal (≤1, >1 month) binary distances and ownership (same, different) are also presented in Table 3. Significant correlations involving genetic distances were marginally influenced by adjustment for anyone of the other binary distances using the Partial Mantel Test (Table 4).
Total module disparity was defined as the sum of the partial Procrustes distances for all specimens for only the landmarks within each module.
Finally, we used Partial Mantel tests implemented in fstat to establish the strength and significance of the partial correlations between the presence of the Richelieu River, the geographic distance and the genetic distance among individuals.
