Using Simulation-Foundations (Meta-Skill Router)

Your entry point to mathematical simulation foundations. This skill routes you to the right combination of mathematical skills for your game simulation challenge.

Purpose

This is a meta-skill that:

1. ✅ Routes you to the correct mathematical skills
2. ✅ Combines multiple skills for complex simulations
3. ✅ Provides workflows for common simulation types
4. ✅ Explains when to use theory vs empirical tuning

You should use this skill: When building any simulation system that needs mathematical rigor.

How to Access Reference Sheets

IMPORTANT: All reference sheets are located in the SAME DIRECTORY as this SKILL.md file.

When this skill is loaded from: skills/using-simulation-foundations/SKILL.md

Reference sheets like differential-equations-for-games.md are at: skills/using-simulation-foundations/differential-equations-for-games.md

NOT at: skills/differential-equations-for-games.md ← WRONG PATH

When you see a link like [differential-equations-for-games.md](differential-equations-for-games.md), read the file from the same directory as this SKILL.md.

Core Philosophy: Theory Enables Design

The Central Idea

Empirical Tuning: Trial-and-error adjustment of magic numbers

• Slow iteration (run simulation, observe, tweak, repeat)
• Unpredictable behavior (systems drift to extremes)
• No guarantees (stability, convergence, performance)
• Difficult debuggin

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