These equations can be expressed as nabla cdot I vec{r},vec{s}) = kappa left[ {frac{{sigma T^{4} }}{pi } - I vec{r},vec{s})} right], (5 where I is the radiation intensity and (vec{r},vec{s}) are, respectively, the position vector and intensity resolved direction in a given coordinate system.
Here, the deformation of individual single crystals results not only from the resolved shear stress along the direction of slip (Schmid law) but also from shear stresses resolved along directions orthogonal to the slip direction as well as the three normal stress components (NS effects).
First, resolve the direction of which the search will traverse.
Using simple mathematical interpretation, the node can resolve the direction on which the query should traverse.
Another potential olfactory benefit of the cephalofoil is increased separation between the midpoints of the left and right nostrils, which enhances the shark's ability to resolve the direction of a scent trail.
The deduced tracks enabled to resolve the direction and velocity of each bead during each captured time frame.
In these studies, diffusion tensor imaging was used to identify spatially resolved axonal directions and the degree of axonal orientation.
Given the large number of comparisons (6 × thalamocortical segments, 2 × mesial temporal lobe structures, 4 × MRI measures [volume, streamlines, T1 and T2], 2 × hemispheres, 3 × groups), post hoc Bonferroni corrections were performed to resolve the direction of main effects and correct for multiple comparisons.
It is based on Proper Orthogonal Decomposition (POD) and uses the method of snapshots to form optimal basis functions for resolving the direction of particle travel in neutron/photon transport problems.
This is in line with our observation that even the crude filter we used (based in part on knock-out data) to remove the least likely regulatory interactions proved very effective in identifying true regulatory interactions (Figure 2) and resolving their direction (Figure 4).
