diff --git a/slides/sections/3.md b/slides/sections/3.md index 9be2b2e..6ec4e26 100644 --- a/slides/sections/3.md +++ b/slides/sections/3.md @@ -1,9 +1,12 @@ # Moyal distribution -## Moyal PDF +## Moyal PDF {.b} +:::: {.columns align=center} + +::: {.column width=50%} Standard form: $$ M(z) = \frac{1}{\sqrt{2 \pi}} \exp @@ -18,13 +21,18 @@ More generally: - scale parameter $\sigma$ $$ - z = \frac{x - \mu}{\sigma} - \thus M_{\mu \sigma}(x) = \frac{1}{\sqrt{2 \pi} \sigma} \exp - \left[ - \frac{1}{2} \left( - \frac{x - \mu}{\sigma} - + e^{-\frac{x - \mu}{\sigma}} \right) \right] + \left[ - \frac{1}{2} \left( + \frac{x - \mu}{\sigma} + + e^{-\frac{x - \mu}{\sigma}} \right) \right] $$ +::: + +::: {.column width=50%} +![](images/moyal-pdf.pdf) +::: + +:::: ## Moyal CDF