From 86752d1f23a732368942840a55befa6cbb2cb2ee Mon Sep 17 00:00:00 2001
From: Sam Scholten
Date: Thu, 27 Nov 2025 16:12:56 +1100
Subject: Clean up 2-column spacing: remove column gap, fix padding symmetry,
 remove redundant rules

---
 demo-beamer.md | 34 ++++++++++++++++++++++++++++------
 1 file changed, 28 insertions(+), 6 deletions(-)

(limited to 'demo-beamer.md')

diff --git a/demo-beamer.md b/demo-beamer.md
index db2efa7..0a8205e 100644
--- a/demo-beamer.md
+++ b/demo-beamer.md
@@ -62,13 +62,13 @@ A minimal, grid-based setup for Marp presentations:
 
 The TF-IDF model for term weighting:
 
-$\text{tf-idf}(t, d, D) = \text{tf}(t, d) \times \text{idf}(t, D)$
+$\quad \text{tf-idf}(t, d, D) = \text{tf}(t, d) \times \text{idf}(t, D)$
 
 Where term frequency is:
-$\text{tf}(t, d) = \frac{f_{t,d}}{\sum_{t'\in d} f_{t',d}}$
+$\quad \text{tf}(t, d) = \frac{f_{t,d}}{\sum_{t'\in d} f_{t',d}}$
 
 And inverse document frequency:
-$\text{idf}(t, D) = \log \frac{|D|}{|\{d \in D : t \in d\}|}$
+$\quad \text{idf}(t, D) = \log \frac{|D|}{|\{d \in D : t \in d\}|}$
 
 The 4:3 format provides better vertical space for multi-line equations.
 
@@ -76,9 +76,12 @@ The 4:3 format provides better vertical space for multi-line equations.
 
 
 ---
+<!-- _class: layout-2col -->
 ### Code Examples
 
-Python implementation:
+<div class="left-column">
+
+<div class="vspace-medium"></div>
 
 ```python
 def tfidf(term, doc, corpus):
@@ -91,9 +94,24 @@ score = tfidf("grid", doc1, docs)
 print(f"TF-IDF: {score:.3f}")
 ```
 
-![width:400px](figs/example.png)
+</div>
+
+<div class="right-column">
+
+<div class="vspace-medium"></div>
 
-*Top-right logo: university/conference branding*
+```bash
+# Build presentation
+marp --theme acarp-beamer demo.md
+
+# Watch for changes
+marp --theme acarp-beamer --watch demo.md
+
+# Export to PDF
+marp --theme acarp-beamer --pdf demo.md
+```
+
+</div>
 
 ---
 
@@ -169,12 +187,16 @@ Large vertical space (3em) - for major separations
 
 ## Spacing Examples
 
+<div style="max-width: 300px;">
+
 ```python
 def calculate():
     result = 42
     return result
 ```
 
+</div>
+
 <div class="vspace-medium"></div>
 
 The function returns a simple value.
-- 
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