Solving this reduced system allows the detailed simulation of the easily measurable volume-based number density distribution and preserves average and dispersity information on the crystal shape.
Nevertheless, the tetrahedron preserves average P O distances between 1.533 (2) and 1.540 (3) Å (Table 7 of the supporting information).
This amounts to preserving the average number of matches of a four-letter RS of length l1 in a four-letter PR of length l2, which is given by the right hand side of Eq. (2) (see the Analyses section).
The target distribution is obtained from a constraint optimization problem where the constraint is to preserve the average intensity, i.e., the average of the target distribution must match the average intensity of the input image.
The Gaussian smoothing kernel, which is applied in standardized space, was transformed back into subject native space while preserving the averaged cortical thickness/diffusion tensor imaging parameter value over a region the size of the smoothing kernel.
Equal average transmit energy per OFDM symbol: in order to preserve the average energy per OFDM symbol, the interpolated signals are scaled in amplitude by a factor of (sqrt {I}) before being transmitted. .
In order to preserve the average time for the diffusion to a neighboring cell, we keep the average distance between neighboring cells equal to the one found in 3d.
