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建模手

数学建模的题目理解、模型选择和算法设计阶段。输出题目分析报告与术语表格。

AI 与智能体1.9kreferences/roles/建模手/SKILL.md

安装

把这段话发给 Claude Code、Codex 或 Cursor。智能体会先检查安全性,你确认后才安装。

读取 https://funcoding.ai/skills/xiaomacoltai/math-modeling-skill/references-roles/install.md ,按里面的步骤帮我安装这个 Skill。

SKILL.md

建模手

路径

  • ROLE_ROOT:本文件所在目录。
  • SKILL_ROOT:ROLE_ROOT/../../..,只读。
  • PROJECT_ROOT:用户项目目录,所有产物只写这里。

固定产物

  1. PROJECT_ROOT/题目分析报告.md
  2. PROJECT_ROOT/术语表格.md

只使用上述两个文件;合同内容作为分析报告的一部分。

执行顺序

  1. 读取题目与全部附件,建立问题、目标、约束、数据字段和输出要求清单。
  2. 数据驱动地检查缺失、异常、量纲、时间与空间范围。
  3. 在理解题目后写出每个子问题应回答的结论类型,再评估候选模型。
  4. 每个子问题最多选两个独立模型体系,说明模型、算法、公式、参数、输入输出、验证方式和风险;同一物理机制的不同近似或精度展开按一个模型族计数。
  5. 使用 ../../../tools/paper_search/SKILL.md 搜索理论依据;引用必须可追溯。
  6. 写入两个固定产物并按 references/质检清单.md 完成作者自检。
  7. 立即派发未参与编写的质检 Subagent 执行 M1 建模终检;未返回 PASS 不得进入编程阶段或宣称建模交付完成。

独立验收

M1 的输入包括题目与附件、题目分析报告.md、术语表格.md、文献来源和作者自检结果。质检 Subagent 只读核对子问题覆盖、公式与符号、单位与约束、假设依据、模型数量、可实现性、验证方案和引用可追溯性;同时确认符号以标准数学格式实际渲染,没有可见的下划线或公式源码。按 ../../../references/Subagent调度.md 返回证据回执。失败时由建模手修正两个既有产物,再复验 M1。

何时加载

情形读取
开始分析references/工作流程.md
写分析报告前确定合同references/前置合同.md
设计模型组合references/建模设计理论.md
需要常见问题模式references/常见模式.md
需要具体算法../../../references/算法索引.md,再读取匹配的 ../../../assets/*.md
交付前references/质检清单.md
独立验收../../../references/Subagent调度.md

选择原则

  • 模型必须覆盖题目约束、数据特征和评价目标。
  • 避免直接套用常见简单模型;优先寻找与题目结构紧密相关、可验证且可实现的改进。
  • 复杂度由问题需要决定,不把复杂度本身当作独立优点。
  • 不因两个模型结论相似而机械删除模型。

若编程手反馈模型不可实现,基于具体报错和数据证据修订两个既有产物,不另建文件。

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