<link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/katex@0.10.0/dist/katex.min.css" integrity="sha384-9eLZqc9ds8eNjO3TmqPeYcDj8n+Qfa4nuSiGYa6DjLNcv9BtN69ZIulL9+8CqC9Y" crossorigin="anonymous">
<script src="https://cdn.jsdelivr.net/npm/katex@0.10.0/dist/katex.min.js" integrity="sha384-K3vbOmF2BtaVai+Qk37uypf7VrgBubhQreNQe9aGsz9lB63dIFiQVlJbr92dw2Lx" crossorigin="anonymous"></script>
<script src="https://cdn.jsdelivr.net/npm/katex@0.10.0/dist/contrib/auto-render.min.js" integrity="sha384-kmZOZB5ObwgQnS/DuDg6TScgOiWWBiVt0plIRkZCmE6rDZGrEOQeHM5PcHi+nyqe" crossorigin="anonymous"></script>
<script>
document.addEventListener("DOMContentLoaded", function() {
renderMathInElement(document.body, {
delimiters: [
{left: "$$", right: "$$", display: true},
{left: "\\(", right: "\\)", display: false},
{left: "$", right: "$", display: false},
{left: "\\[", right: "\\]", display: true}
],
macros: {
"\\rt": "\\right",
"\\lt": "\\left",
"\\ket": "\\left\\vert#1\\right\\rangle",
"\\bra": "\\left\\langle#1\\right\\vert",
"\\dyad": "\\left\\vert#1\\right\\rangle\\left\\langle#1\\right\\vert",
"\\braket": "\\left\\langle#1\\right\\vert\\left\.#2\\right\\rangle",
"\\pdv": "\\frac{\\partial #1}{\\partial #2}",
"\\eval":"\\left\\. #1\\right\\vert",
"\\dd": "\\mathrm{d}",
"\\p": "\\partial",
"\\ap": "\\alpha",
"\\bt": "\\beta",
"\\f": "\\frac",
"\\og": "\\omega",
"\\Og": "\\Omega",
"\\dt": "\\delta",
"\\Dt": "\\Delta",
"\\gm": "\\gamma",
"\\Gm": "\\Gamma",
"\\sg": "\\sigma",
"\\mcl": "\\mathcal",
"\\ve" : "\\varepsilon",
"\\vp" : "\\varphi",
"\\lm" : "\\lambda",
"\\tha": "\\theta",
"\\nb" : "\\bm\\nabla",
"\\ep" : "\\epsilon",
"\\upa": "\\uparrow",
"\\doa": "\\downarrow",
"\\pr" : "\\prime",
"\\tx" : "\\text",
}
});
});
</script>