In the previous papers, the domain in which the equation of Reynolds was solved is supposed multiconnected field with inside boundaries represented by continuous lines, so-called 'supplying lines.'.
Note that outside-boundaries always exists, whereas the set inside-boundaries can be empty.
The set of all such borders is called inside-boundaries and is defined as.
For each h∈ HOLESℰ there exists a pair of inside-boundaries with 〈(h L 1−1, h R 1+1),(h L 2−1, h R 2+1)〉∈ INℰ.
Holes are directly related to inside-boundaries and describe the subsequences which are not the part of the subsequence S i [ LEFTℰ i, RIGHTℰ i ] of an EPM ℰ.
For a given EPM ℰ with its set of inside-boundaries INℰ, the set of holes with minimal size γ is defined as HOLESℰ={〈 l, r), (l, r)〉 | r≥ l + γ ∧ r≥ l + γ}.
The score of ℰ is composed of the score before ℰ (Fig. 3), given at the position LEFTℰ−1, plus the size of ℰ itself, denoted by the function ω, plus possible scores between inside-boundaries, given recursively by the computation for scores for holes h∈ HOLESℰ.
BetaWorkbench relies on an individual-based formalism, where each biological entity is encapsulated inside a boundary and local processes inside the boundary are used to model changes in state.
Rod Marsh was well caught just inside the boundary, hooking.
