Published
Edited
Sep 16, 2018
10 stars
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slide`

**Proof:**
${
tex.block`
\large
f(x) = \left(\int_{-\infty}^\infty
\hat f(\xi)\,e^{2 \pi i \xi x}
d\xi\right)
`
}
`
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slide`
~~Proof:~~

${
tex.block`
\begin{aligned}
\frac{\mathrm{d}🐁}{\mathrm{d}t} &= \alpha 🐁-\beta 🐁🐈 \\[2ex]
\frac{\mathrm{d}🐈}{\mathrm{d}t} &= \delta 🐁🐈-\gamma 🐈
\end{aligned}`
}
`
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rate_factor = {
var rate = 200 // Cycles per second
return 1000 / rate
}
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md`
We can have our *Markdown*, and ${tex`\LaTeX`} too: ... ${tex`x = \dfrac{-b \ \pm \sqrt{b^2 - 4ac}}{2a}`}.
`
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md`
## Block Equations

${tex.block`
x = \frac{-b \pm \sqrt{b^2 - 4ac} }{2a}
`}
`
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md`
## Centered Equations with Tags

${tex.block`
\tag{1}
x = \dfrac{-b \ \pm \sqrt{b^2 - 4ac}}{2a}
`}
${tex.block`
\tag{2}
\Delta E^*_{00} = \sqrt{
\Big(\frac{\Delta L'}{k_LS_L}\Big)^2 +
\Big(\frac{\Delta C'}{k_CS_C}\Big)^2 +
\Big(\frac{\Delta H'}{k_HS_H}\Big)^2 +
R_T
\frac{\Delta C'}{k_CS_C}
\frac{\Delta H'}{k_HS_H}
}
`}
`
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md`
## Aligned Equations

${tex.block`
\begin{aligned}

x &= \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} \\

\Delta E^*_{00} &= \sqrt{
\color{red}\Big(\frac{\Delta L'}{k_LS_L}\Big)^2 \color{black} +
\Big(\frac{\Delta C'}{k_CS_C}\Big)^2 +
\Big(\frac{\Delta H'}{k_HS_H}\Big)^2 +
R_T
\frac{\Delta C'}{k_CS_C}
\frac{\Delta H'}{k_HS_H}
}
\end{aligned}

`}
`
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md`
## Colours
${tex.block`
\Large
f(\textcolor{hotpink}{x}) = \int_{-\infty}^\infty
\hat f(\textcolor{lightgreen}{\xi})\,e^{2 \pi i \textcolor{lightgreen}{\xi} \textcolor{hotpink}{x}}
d\textcolor{lightgreen}{\xi}
`}

`
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md`
## Macro and Newcommand

${tex`
\def\foo{x^2}
\foo + \foo \\

\gdef\bar#1{#1^2}
\bar{\phi} + \bar{\psi} \\

\newcommand\chk{\checkmark}
\chk \\

\newcommand{\ket}[1]{|{#1}\rangle}
\ket{\psi}
`}
`
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md`
## Your Text and Latex

*Markdown goes here*

[Reference for Markdown](/@ajlimbert/github-flavored-markdown-cheatsheet-observable)

[Supported Functions in ${tex`\KaTeX`}](https://katex.org/docs/supported.html)

[Support Table for ${tex`\KaTeX`}](https://katex.org/docs/support_table.html)

${tex`
\LaTeX \ goes \ here
\\

`}

*Markdown can also go here*

`
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Observable is your go-to platform for exploring data and creating expressive data visualizations. Use reactive JavaScript notebooks for prototyping and a collaborative canvas for visual data exploration and dashboard creation.
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