Update from task 7e8e3021-a7db-44fe-ae71-6bdfc1d2e413#1
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… template Key features implemented: - Updated .gitignore with comprehensive file patterns for build artifacts, dependencies, logs, environments, editors, system files, coverage, and compressed files - Enhanced error prevention guide (modules/error_prevention.md) with detailed sections for Complex Analysis, Topology, and Number Theory, expanding from 8 to 11 domains and adding a cross-domain checklist - Extended output templates (modules/output_templates.md) by introducing Template G for research-level deep analysis, providing structure for advanced mathematical problems involving multiple branches - Refined verification engine (modules/verification_engine.md) by adding mnemonic letter labels (A-K) for verification methods, clarifying selection criteria, updating the applicability matrix, and explicitly including complex analysis, topology, and number theory problem types in the selection table
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Pull request overview
This PR extends the Math.skill documentation set by adding more structured guidance for verification methods, richer output formatting for research-level queries, and additional domain-specific error-prevention checklists. It also attempts to replace the minimal .gitignore with a more comprehensive one.
Changes:
- Added a method mnemonic note plus a “Method Applicability Matrix” to the verification engine docs.
- Introduced a new Template G (“研究级问题深度分析”) and updated the template decision tree accordingly.
- Added Complex Analysis / Topology / Number Theory error-prevention sections and extended the cross-domain checklist.
- Replaced
.gitignorecontents with a large ignore list (but currently wrapped in Markdown code fences, which breaks.gitignorebehavior).
Reviewed changes
Copilot reviewed 3 out of 4 changed files in this pull request and generated 2 comments.
| File | Description |
|---|---|
| modules/verification_engine.md | Adds method labeling note and an applicability matrix to clarify method usage. |
| modules/output_templates.md | Adds Template G for deeper research-level analysis and updates the selection decision tree. |
| modules/error_prevention.md | Adds new error-prevention rules/pitfalls for complex analysis, topology, and number theory; extends checklist. |
| .gitignore | Expands ignore patterns, but currently includes Markdown code fences that must be removed to function correctly. |
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| The following table maps problem classifications to recommended verification methods. The first listed method is the primary; the second is the fallback or complement. At least two must be applied; three or more increase confidence for difficult or high-stakes problems. | ||
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| **Method Numbering Note**: Methods are labeled A through K (11 total). The letters are mnemonic: A=Back-substitution, B=Boundary/Domain, C=Continuity/Boundary, D=Derivation(reverse), E=Estimation(numerical), F=Dimension(Formula), G=Special cases/limits, H=Independent method, I=Counterexample, J=Logic(formal), K=Consistency(computational). |
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| ### Rules | ||
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| 1. **Divisibility definition**: $a \mid b$ means $\exists k \in \mathbb{Z}$ such that $b = ak$. Note that $0 \mid 0$ is true (since $0 = k \cdot 0$ for any $k$), but $0 \mid b$ for $b \neq 0$ is false. |
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This PR was created by qwen-chat coder for task 7e8e3021-a7db-44fe-ae71-6bdfc1d2e413.