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Render Quarto slides and sync all files to

docs/

for GitHub Pages deployment.

渲染Quarto幻灯片并将所有文件同步到

docs/

目录，以部署到GitHub Pages。

Run the sync script:
- If
```
$ARGUMENTS
```
  is provided (e.g., "Lecture4"):
```
./scripts/sync_to_docs.sh $ARGUMENTS
```
- If no argument:
```
./scripts/sync_to_docs.sh
```
  (syncs all lectures)
Verify deployment:
- Check that HTML files exist in
```
docs/slides/
```
- Check that
```
_files/
```
  directories were copied (RevealJS assets)
- Check that
```
docs/Figures/
```
  was synced from
```
Figures/
```
Verify interactive charts (if applicable):
- Grep rendered HTML for interactive widget count
- Confirm count matches expected
Verify TikZ SVGs (if applicable):
- Check that all referenced SVG files exist in
```
docs/Figures/LectureN/
```
Open in browser for visual verification:
- ```
open docs/slides/LectureX_Name.html
```
  # macOS
- ```
# xdg-open docs/slides/LectureX_Name.html
```
  # Linux
- Confirm slides render, images display, navigation works
Report results to the user

运行同步脚本：
- 若提供了
```
$ARGUMENTS
```
  （例如："Lecture4"）：
```
./scripts/sync_to_docs.sh $ARGUMENTS
```
- 若无参数：
```
./scripts/sync_to_docs.sh
```
  （同步所有课件）
验证部署：
- 检查HTML文件是否存在于
```
docs/slides/
```
  目录中
- 确认
```
_files/
```
  目录已被复制（RevealJS资源文件）
- 检查
```
docs/Figures/
```
  是否已从
```
Figures/
```
  同步完成
验证交互式图表（如适用）：
- 在渲染后的HTML中搜索交互式组件数量
- 确认数量与预期一致
验证TikZ SVG文件（如适用）：
- 检查所有引用的SVG文件是否存在于
```
docs/Figures/LectureN/
```
  目录中
在浏览器中打开进行视觉验证：
- ```
open docs/slides/LectureX_Name.html
```
  # macOS
- ```
# xdg-open docs/slides/LectureX_Name.html
```
  # Linux
- 确认幻灯片正常渲染、图片显示正常、导航功能可用
向用户报告结果