this is for holding javascript data
Michael Retchin edited Math.tex
over 9 years ago
Commit id: 8b423e36ac08e4707007e53f352d9be2fd3d220f
deletions | additions
diff --git a/Math.tex b/Math.tex
index a431727..5902bb4 100644
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S_{n} = \sideset{}{}\sum_{i=1}^{n}Z_{i}
\end{equation}
This equation is $1$-dimensional in that it only accounts for one axis of motion. To model tumors as $2$-dimensional, we used a random walk to model
both axes of motion. As a result, the "tumors" were both randomly configured and contiguous.
The equation defines at which position the path will lie after $n$ number of steps.
\hspace{2000 mm} To model the distribution of $S_{n}$ we need to set it to $x$ and set the number of steps to the right and left by $r$ and $l$, respectively. Given this, $x = r - l$ and $n$, the total number of steps actually executed, $= r + l$. By simply solving for $r$ and $l$ we deduce that $r = (1/2)(x+n)$ and $l = (1/2)(n-x)$.