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For a finite family of nonexpansive mappings and sequence in, the mapping is defined as follows: (1.9).
The relevant spatial resolution of the mapping is defined according to the concept of REV (representative elementary volume).
Different types of abstraction heuristics exist depending on how the mapping is defined, like Pattern Databases (PDBs) or Merge-and-Shrink (M&S).
A mapping is defined between each particles' initial and final radial and axial coordinates, and the elapsed time for each particle trajectory.
The mapping is defined as,.
The mapping is defined by (1.9).
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The mapping function is defined as follows: (1).
Let the mapping be defined by (1.14).
Moreover, let the mapping be defined by (2.6).
Let the mapping be defined by (3.3) in.
For each, let the mapping be defined by (1.23).
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