slides: add plot in the Moyal PDF slide
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# Moyal distribution
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## Moyal PDF
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## Moyal PDF {.b}
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:::: {.columns align=center}
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::: {.column width=50%}
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Standard form:
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$$
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M(z) = \frac{1}{\sqrt{2 \pi}} \exp
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@ -18,13 +21,18 @@ More generally:
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- scale parameter $\sigma$
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$$
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z = \frac{x - \mu}{\sigma}
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\thus
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M_{\mu \sigma}(x) = \frac{1}{\sqrt{2 \pi} \sigma} \exp
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\left[ - \frac{1}{2} \left(
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\frac{x - \mu}{\sigma}
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+ e^{-\frac{x - \mu}{\sigma}} \right) \right]
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\left[ - \frac{1}{2} \left(
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\frac{x - \mu}{\sigma}
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+ e^{-\frac{x - \mu}{\sigma}} \right) \right]
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$$
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:::
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::: {.column width=50%}
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![](images/moyal-pdf.pdf)
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:::
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::::
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## Moyal CDF
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