Add Mass-Spring System Documentation

[WYK96]

No description provided.

[gemini-code-assist]

Summary of Changes

Hello @WYK96, I'm Gemini Code Assist¹! I'm currently reviewing this pull request and will post my feedback shortly. In the meantime, here's a summary to help you and other reviewers quickly get up to speed!

This pull request introduces a new, extensive documentation page that thoroughly explains the principles of Mass-Spring Systems, a core concept in physics-based simulations, particularly for clothing dynamics. It covers various integration techniques, from basic Explicit Euler to advanced Position-Based Dynamics (XPBD), complete with mathematical derivations and diagrams. The addition aims to provide a clear and detailed resource for understanding how these systems are modeled and simulated, and it has been integrated into the project's overall documentation structure.

Highlights

• New Documentation Added: A comprehensive documentation page for 'Mass-Spring System' has been added, detailing the theoretical background and practical application in physics-based simulations.
• Physics Integration Methods: The new documentation provides in-depth explanations of Explicit Euler, Implicit Euler, and Position-Based Dynamics (PBD) / eXtended Position-Based Dynamics (XPBD) for simulating clothing dynamics.
• Mathematical Foundations: Detailed mathematical formulations, including energy potentials, force calculations, and linearization techniques, are presented to support the understanding of these simulation methods.
• Documentation Integration: The newly created 'mass_spring_system.md' file has been successfully integrated into the project's main table of contents, making it accessible to users.

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[gemini-code-assist]

Code Review

This pull request adds extensive documentation on the mass-spring system and the physics simulation techniques used in XRTailor. The document is well-structured and detailed. I've provided a few suggestions to correct some formulas, fix typos in the LaTeX, and improve clarity in a few places. Overall, this is a great addition to the project's documentation.

[gemini-code-assist]

In the array environment within equation (45), \begin{array}{**lr**} is used. The asterisks ** are likely a typo and will cause a rendering error for the equation. They should be removed.

Suggested change

	\begin{array}{**lr**}
	\begin{array}{lr}