From 75a97810e2b039b7af7a1a910202804dd1e4f627 Mon Sep 17 00:00:00 2001
From: rnhmjoj <rnhmjoj@inventati.org>
Date: Fri, 12 Jun 2020 16:05:41 +0200
Subject: [PATCH] slides: add plot in the Moyal PDF slide

---
 slides/sections/3.md | 20 ++++++++++++++------
 1 file changed, 14 insertions(+), 6 deletions(-)

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