Split
4e8c9f53bf
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
25 lines
2.5 KiB
TeX
25 lines
2.5 KiB
TeX
\relax
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\providecommand\hyper@newdestlabel[2]{}
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\providecommand*\HyPL@Entry[1]{}
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\HyPL@Entry{0<</S/D>>}
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\@writefile{toc}{\contentsline {section}{\numberline {1}Introduction}{1}{section.1}\protected@file@percent }
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\@writefile{toc}{\contentsline {section}{\numberline {2}The Old System (v1)}{2}{section.2}\protected@file@percent }
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\@writefile{toc}{\contentsline {subsection}{\numberline {2.1}Glicko-2 Fundamentals}{2}{subsection.2.1}\protected@file@percent }
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\@writefile{toc}{\contentsline {subsection}{\numberline {2.2}The Arbitrary Margin Bonus (v1)}{3}{subsection.2.2}\protected@file@percent }
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\@writefile{toc}{\contentsline {subsection}{\numberline {2.3}Team Rating: Simple Average}{3}{subsection.2.3}\protected@file@percent }
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\@writefile{toc}{\contentsline {subsection}{\numberline {2.4}The Backwards RD Distribution}{3}{subsection.2.4}\protected@file@percent }
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\@writefile{toc}{\contentsline {subsection}{\numberline {2.5}Separate Singles/Doubles Ratings}{4}{subsection.2.5}\protected@file@percent }
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\@writefile{toc}{\contentsline {section}{\numberline {3}Why It Needed to Change}{4}{section.3}\protected@file@percent }
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\@writefile{toc}{\contentsline {section}{\numberline {4}The New System (v2)}{5}{section.4}\protected@file@percent }
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\@writefile{toc}{\contentsline {subsection}{\numberline {4.1}Per-Point Expected Value}{5}{subsection.4.1}\protected@file@percent }
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\@writefile{toc}{\contentsline {subsection}{\numberline {4.2}Fixed RD Distribution}{6}{subsection.4.2}\protected@file@percent }
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\@writefile{toc}{\contentsline {subsection}{\numberline {4.3}Effective Opponent Calculation}{6}{subsection.4.3}\protected@file@percent }
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\@writefile{toc}{\contentsline {section}{\numberline {5}A Worked Example}{7}{section.5}\protected@file@percent }
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\@writefile{toc}{\contentsline {section}{\numberline {6}Discussion: Tradeoffs and Future Work}{9}{section.6}\protected@file@percent }
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\@writefile{toc}{\contentsline {subsection}{\numberline {6.1}Why v2 Is Better}{9}{subsection.6.1}\protected@file@percent }
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\@writefile{toc}{\contentsline {subsection}{\numberline {6.2}Tradeoffs and Concerns}{10}{subsection.6.2}\protected@file@percent }
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\@writefile{toc}{\contentsline {subsection}{\numberline {6.3}What v2 Still Doesn't Address}{10}{subsection.6.3}\protected@file@percent }
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\@writefile{toc}{\contentsline {subsection}{\numberline {6.4}Possible Future Improvements}{10}{subsection.6.4}\protected@file@percent }
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\@writefile{toc}{\contentsline {section}{\numberline {7}Conclusion}{11}{section.7}\protected@file@percent }
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\gdef \@abspage@last{11}
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