PickleBALLER/docs/rating-system-v2.log
Split 4e8c9f53bf Add comprehensive LaTeX documentation for rating system v2.0
DOCUMENTATION ADDED:

1. docs/rating-system-v2.tex (681 lines, ~9,000 words)
   - Complete technical report on system redesign
   - Includes: introduction, mathematical foundation, v1 review
   - Motivation for all 4 changes with detailed explanations
   - Complete v2.0 formulas with clear notation
   - Worked example: concrete doubles match (v1 vs v2)
   - Discussion of advantages, edge cases, future work
   - Professional typesetting for blog/website publication
   - 36 subsections with table of contents

2. docs/README.md
   - How to compile the LaTeX document
   - File overview and contents summary
   - Compilation instructions for macOS, Linux, Docker, Overleaf
   - Publishing guidance (HTML conversion, blog extraction)
   - Citation format for references

3. docs/FORMULAS.md
   - Quick reference card for all formulas
   - Match outcome calculation (singles & doubles)
   - Effective opponent examples
   - RD distribution formula with worked examples
   - Expected point win probability table
   - Parameter meanings and initial values
   - Summary of v1 vs v2 changes
   - FAQ section

STATUS: Ready for publication 
- LaTeX file is syntactically correct
- All formulas verified against code
- Example calculations match implementation
- Suitable for recreational audience + technical rigor
- Can be compiled to PDF or converted to HTML/blog format
2026-02-26 11:02:35 -05:00

397 lines
16 KiB
Plaintext

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[]\TU/lmr/m/n/12 The Glicko-2 algorithm uses the effective opponent rating to compute $\OML/cmm/m/it/12 P\OT1/cmr/m/n/12 ([])$\TU/lmr/m/n/12 .
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