From 755a6e1b4bd73e1e66ecf28fc77dff6ead9ade47 Mon Sep 17 00:00:00 2001 From: mmcky Date: Tue, 1 Oct 2024 09:44:19 +1000 Subject: [PATCH 1/2] FIX: reformat wide equation --- lectures/odu.md | 8 +++++++- 1 file changed, 7 insertions(+), 1 deletion(-) diff --git a/lectures/odu.md b/lectures/odu.md index 0cfe26943..295912562 100644 --- a/lectures/odu.md +++ b/lectures/odu.md @@ -167,7 +167,11 @@ $$ \mathbb{P}\{q = f \,|\, W = w\} = \frac{\mathbb{P}\{W = w \,|\, q = f\}\mathbb{P}\{q = f\}} {\mathbb{P}\{W = w\}} -\quad \text{and} \quad +\\ +\quad +\text{and} +\quad +\\ \mathbb{P}\{W = w\} = \sum_{\omega \in \{f, g\}} \mathbb{P}\{W = w \,|\, q = \omega\} \mathbb{P}\{q = \omega\} $$ @@ -178,7 +182,9 @@ Letting $$ q_{\pi}(w) := \pi f(w) + (1 - \pi) g(w) +\\ \quad \text{and} \quad +\\ \kappa(w, \pi) := \frac{\pi f(w)}{\pi f(w) + (1 - \pi) g(w)} $$ From a44613f77096acc1ccbd92a262faeb7654786062 Mon Sep 17 00:00:00 2001 From: mmcky Date: Tue, 1 Oct 2024 15:47:38 +1000 Subject: [PATCH 2/2] taking the and out of latex math for improved formatting --- lectures/odu.md | 18 ++++++++++-------- 1 file changed, 10 insertions(+), 8 deletions(-) diff --git a/lectures/odu.md b/lectures/odu.md index 295912562..979f00b74 100644 --- a/lectures/odu.md +++ b/lectures/odu.md @@ -167,11 +167,11 @@ $$ \mathbb{P}\{q = f \,|\, W = w\} = \frac{\mathbb{P}\{W = w \,|\, q = f\}\mathbb{P}\{q = f\}} {\mathbb{P}\{W = w\}} -\\ -\quad -\text{and} -\quad -\\ +$$ + +and + +$$ \mathbb{P}\{W = w\} = \sum_{\omega \in \{f, g\}} \mathbb{P}\{W = w \,|\, q = \omega\} \mathbb{P}\{q = \omega\} $$ @@ -182,9 +182,11 @@ Letting $$ q_{\pi}(w) := \pi f(w) + (1 - \pi) g(w) -\\ -\quad \text{and} \quad -\\ +$$ + +and + +$$ \kappa(w, \pi) := \frac{\pi f(w)}{\pi f(w) + (1 - \pi) g(w)} $$