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Michael Retchin edited Math.tex
over 9 years ago
Commit id: b8383d00287c7dc125a2fef1172c21ac8edaa40f
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\section{Math}
\hspace{20 mm}Each tumor was modeled as a self-avoiding polygon (SAP). A SAP is a closed shape whose perimeter consists of a random walk path which does not visit the same site more than once, or a self-avoiding walk (SAW). A SAW of length $N$ in a $2$-dimensional lattice ${\Bbb R}$, starting at point $x$, is defined as a path $ω=(ω_0, ω_1, ..., ω_n)$
${\rm \!Z}^d$
starting at x, is defined as a path ω = (ω0, ω1, . . . , ωn) with ωj ∈ Z