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hurak committed Dec 2, 2024
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2 changes: 1 addition & 1 deletion .nojekyll
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Expand Up @@ -2131,16 +2131,16 @@ <h3 class="anchored" data-anchor-id="mealy-machine">Mealy machine</h3>
<span id="cb3-11"><a href="#cb3-11" aria-hidden="true" tabindex="-1"></a><span class="pp">@show</span> <span class="fu">update!</span>(dtr), <span class="fu">output</span>(dtr)</span></code><button title="Copy to Clipboard" class="code-copy-button"><i class="bi"></i></button></pre></div>
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<pre><code>x_initial = rand(0:k, n) = [1, 2, 1, 4]
output(dtr) = [0, 1, 1, 1]
(update!(dtr), output(dtr)) = ([1, 1, 2, 1], [1, 0, 1, 1])
(update!(dtr), output(dtr)) = ([2, 1, 1, 2], [1, 1, 0, 1])
(update!(dtr), output(dtr)) = ([3, 2, 1, 1], [0, 1, 1, 0])
(update!(dtr), output(dtr)) = ([3, 3, 2, 1], [0, 0, 1, 1])
(update!(dtr), output(dtr)) = ([3, 3, 3, 2], [0, 0, 0, 1])</code></pre>
<pre><code>x_initial = rand(0:k, n) = [1, 1, 0, 3]
output(dtr) = [0, 0, 1, 1]
(update!(dtr), output(dtr)) = ([1, 1, 1, 0], [0, 0, 0, 1])
(update!(dtr), output(dtr)) = ([1, 1, 1, 1], [1, 0, 0, 0])
(update!(dtr), output(dtr)) = ([2, 1, 1, 1], [0, 1, 0, 0])
(update!(dtr), output(dtr)) = ([2, 2, 1, 1], [0, 0, 1, 0])
(update!(dtr), output(dtr)) = ([2, 2, 2, 1], [0, 0, 0, 1])</code></pre>
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<pre><code>([3, 3, 3, 2], [0, 0, 0, 1])</code></pre>
<pre><code>([2, 2, 2, 1], [0, 0, 0, 1])</code></pre>
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<p>We can see that although initially the there can be more tokens, after a few iterations the algorithm achieves the goal of having just one token in the ring.</p>
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</url>
<url>
<loc>https://hurak.github.io/hys/complementarity_simulations.html</loc>
<lastmod>2024-12-01T15:03:16.724Z</lastmod>
<lastmod>2024-12-02T10:25:44.967Z</lastmod>
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<url>
<loc>https://hurak.github.io/hys/classes_PWA.html</loc>
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Expand Up @@ -784,7 +784,7 @@ <h1 class="title">Stability via multiple Lyapunov functions</h1>
│ └─ Convex.NegateAtom (affine; real)
│ └─ …
├─ PSD constraint (convex)
│ └─ 2×2 real variable (id: 237…093)
│ └─ 2×2 real variable (id: 165…541)
</code></pre>
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