Wiki Math Notation Updates

This directory contains the updated wiki files with converted mathematical notation.

What was changed

The wiki files have been converted from the old GitHub math rendering style:

![latex](https://render.githubusercontent.com/render/math?math=...)

To the new GitHub native LaTeX math style:

• Inline math: $...$
• Display math: $$...$$

Files converted

• Formulation.md - English formulation documentation
• Kernel-function.md - English kernel function documentation
• Kernel-interpolation.md - English kernel interpolation documentation
• Volume-element.md - English volume element documentation
• 定式化.md - Japanese formulation documentation
• カーネル関数.md - Japanese kernel function documentation
• カーネル補間法.md - Japanese kernel interpolation documentation
• 体積要素.md - Japanese volume element documentation

How to apply these changes to the wiki

Since the GitHub wiki is a separate repository, these files need to be manually pushed to the wiki repository:

# Clone the wiki repository
git clone https://github.com/YuriOku/1D_SPH.wiki.git

# Copy the updated files
cp wiki-updates/*.md 1D_SPH.wiki/

# Commit and push to the wiki
cd 1D_SPH.wiki
git add *.md
git commit -m "Convert math notation to GitHub native LaTeX style"
git push

Alternatively, you can copy and paste the content from these files directly into the wiki editor on GitHub.