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	chore: added katex demo
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		@@ -11,6 +11,7 @@
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        font-family: 'Courier New', Courier, monospace !important;
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      }
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  </style>
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  <!-- <link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/katex@0.15.2/dist/katex.min.css" integrity="sha384-MlJdn/WNKDGXveldHDdyRP1R4CTHr3FeuDNfhsLPYrq2t0UBkUdK2jyTnXPEK1NQ" crossorigin="anonymous"> -->
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</head>
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<body>
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  <h1>Comparison "graph vs. flowchart"</h1>
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@@ -1080,8 +1081,28 @@
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    style N2 stroke:#0000ff,fill:#ccccff,color:#0000ff
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    style O2 stroke:#0000ff,fill:#ccccff,color:#0000ff
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  </div>
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  <h2>Sample 20</h2>
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  <h3>graph</h3>
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  <div class="mermaid">
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    graph LR
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    A["$$f(\relax{x}) = \int_{-\infty}^\infty \hat{f}(\xi)\,e^{2 \pi i \xi x}\,d\xi$$"] -->|"$$\Bigg(\bigg(\Big(\big((\frac{-b\pm\sqrt{b^2-4ac}}{2a})\big)\Big)\bigg)\Bigg)$$"| B("$$1+\frac{e^{-2\pi}} {1+\frac{e^{-4\pi}} {1+\frac{e^{-6\pi}} {1+\frac{e^{-8\pi}} {1+\cdots}}}}$$")
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    A -->|"$$\overbrace{a+b+c}^{\text{note}}$$"| C("$$\phase{-78^\circ}$$")
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    B -->|"$$\begin{alignat}{2} 10&x+&3&y=2\\ 3&x+&13&y=4\end{alignat}$$"| D("$$x = \begin{cases} a &\text{if } b \\ c &\text{if } d \end{cases}$$")
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    C --> E("$$x(t)=c_1\begin{bmatrix}-\cos{t}+\sin{t}\\ 2\cos{t} \end{bmatrix}e^{2t}$$")
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  </div>
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  <h3>flowchart</h3>
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  <div class="mermaid">
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    flowchart LR
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    A["$$f(\relax{x}) = \int_{-\infty}^\infty \hat{f}(\xi)\,e^{2 \pi i \xi x}\,d\xi$$"] -->|"$$\Bigg(\bigg(\Big(\big((\frac{-b\pm\sqrt{b^2-4ac}}{2a})\big)\Big)\bigg)\Bigg)$$"| B("$$1+\frac{e^{-2\pi}} {1+\frac{e^{-4\pi}} {1+\frac{e^{-6\pi}} {1+\frac{e^{-8\pi}} {1+\cdots}}}}$$")
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    A -->|"$$\overbrace{a+b+c}^{\text{note}}$$"| C("$$\phase{-78^\circ}$$")
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    B -->|"$$\begin{alignat}{2} 10&x+&3&y=2\\ 3&x+&13&y=4\end{alignat}$$"| D("$$x = \begin{cases} a &\text{if } b \\ c &\text{if } d \end{cases}$$")
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    C --> E("$$x(t)=c_1\begin{bmatrix}-\cos{t}+\sin{t}\\ 2\cos{t} \end{bmatrix}e^{2t}$$")
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  </div>
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  <hr/>
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  <h1 id="link-clicked">Anchor for "link-clicked" test</h1>
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