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<!DOCTYPE html>
<html>
<head>
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<title>Stochastic Cellular Automata</title>
</head>
<body>
<div id="navbar"></div>
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<h2>Stochastic Cellular Automata</h2>
<p>
The parameters should consist of an odd number of numbers separated by commas.
</p>
Parameters: <input type="text" value="-3, 3, -3" id="params"><br>
Width: <input type="number" value="400" id="width"><br>
Time: <input type="number" value="400" id="time"><br>
<button id="display">Display</button><br>
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<script src="js/stochasticca.js"></script>
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<p>
The probability of any cell being black is determined by the cells above it using this formula (where $\theta$ is a vector containing the parameters,
$t$ is the time passed (or row), and $i$ is the column):
$$L = \frac{||\theta||-1}{2}$$
$$p(0, i) = 1$$
$$\text{(when t > 0) } p(t, i) = \theta \cdot
\begin{bmatrix}
c(t-1, i-L)\\
c(t-1, i-L+1)\\
\vdots \\
c(t-1, i+L)
\end{bmatrix}$$
$$c(t, i) = \text{a number with a $p(t, i)$ probability of being 1}$$
</p>
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