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hurak committed Sep 13, 2024
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2 changes: 1 addition & 1 deletion .nojekyll
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Expand Up @@ -1927,7 +1927,7 @@ <h3 class="anchored" data-anchor-id="mealy-machine">Mealy machine</h3>
</div>
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<div class="sourceCode cell-code" id="cb1"><pre class="sourceCode julia code-with-copy"><code class="sourceCode julia"><span id="cb1-1"><a href="#cb1-1" aria-hidden="true" tabindex="-1"></a><span class="kw">struct</span> DijkstraTokenRing</span>
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Expand Up @@ -870,7 +870,7 @@ <h2 class="anchored" data-anchor-id="max-polynomials-aka-tropical-polynomials">(
<p>We can interpret it in the conventional algebra as <span class="math display">
p(x) = \max\{2x+2,x+3,1\},
</span> which is a piecewise linear (actually affine) function.</p>
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<summary>Code</summary>
<div class="sourceCode cell-code" id="cb2"><pre class="sourceCode julia code-with-copy"><code class="sourceCode julia"><span id="cb2-1"><a href="#cb2-1" aria-hidden="true" tabindex="-1"></a><span class="im">using</span> <span class="bu">Plots</span></span>
Expand All @@ -887,7 +887,7 @@ <h2 class="anchored" data-anchor-id="max-polynomials-aka-tropical-polynomials">(
<p><span class="theorem-title"><strong>Example 2 (Example of a 2D polynomial)</strong></span> Nothing prevents us from defining a polynomial in two (and more) variables. For example, consider the following (max,+) polynomial <span class="math display">
p(x,y) = 0 \otimes x \otimes y.
</span></p>
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Expand All @@ -906,7 +906,7 @@ <h2 class="anchored" data-anchor-id="max-polynomials-aka-tropical-polynomials">(
<p><span class="theorem-title"><strong>Example 3 (Another 2D polynomial)</strong></span> Consider another 2D (max,+) polynomial <span class="math display">
p(x,y) = 0 \otimes x \otimes y \oplus (-1)\otimes x^{\otimes^2} \oplus 1\otimes x\otimes y \oplus (-1)\otimes y^{\otimes^2}.
</span></p>
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<div class="sourceCode cell-code" id="cb4"><pre class="sourceCode julia code-with-copy"><code class="sourceCode julia"><span id="cb4-1"><a href="#cb4-1" aria-hidden="true" tabindex="-1"></a><span class="im">using</span> <span class="bu">Plots</span></span>
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</url>
<url>
<loc>https://hurak.github.io/hys/classes_reset.html</loc>
<lastmod>2024-09-12T21:08:22.660Z</lastmod>
<lastmod>2024-09-13T21:12:56.339Z</lastmod>
</url>
<url>
<loc>https://hurak.github.io/hys/complementarity_systems.html</loc>
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