Manuscript VII-F@1 · VII-F.tex · section · 2d81c03f

Edges, lengths, and areas

Cellulation and the isolated particle event › Edges, lengths, and areas · lines 679–707

Use the following persistent edge labels:

e_{i} = {[P, A_{i}], [B_{i}, A_{i}], s < 0, s > 0, c_{i} = [A_{i}, A_{i + 1}], t_{i} = [A_{i}, D_{i}], o_{i} = [D_{i}, D_{i + 1}] .

The new edge labels for $s > 0$ are

u_{i} = [P, B_{i}], v_{i}^{edge} = [P, C_{i}], w_{i}^{-} = [B_{i}, C_{i}], w_{i}^{+} = [C_{i}, B_{i + 1}] .

The superscript on $v_{i}^{edge}$ distinguishes an edge label from the developed direction vector $v_{i}$ .

Displayed formulas in this passage

unlabeled · line 682
$e_{i} = {[P, A_{i}], [B_{i}, A_{i}], s < 0, s > 0, c_{i} = [A_{i}, A_{i + 1}], t_{i} = [A_{i}, D_{i}], o_{i} = [D_{i}, D_{i + 1}] .$
unlabeled · line 696
$u_{i} = [P, B_{i}], v_{i}^{edge} = [P, C_{i}], w_{i}^{-} = [B_{i}, C_{i}], w_{i}^{+} = [C_{i}, B_{i + 1}] .$