# 数学领域知识规则（subdomain：algebra/calculus/geometry/probability/...）
domain: math
rules:
  # ---- 任务拆解类规则（template）----
  - id: math-equation
    priority: 90
    subdomain: algebra
    patterns: ["方程", "求解", "求根", "solve", "equation", "解方程", "一元二次", "一元一次",
               "等于多少", "x 等于", "求 x"]
    template: math-solve

  - id: math-calculus
    priority: 88
    subdomain: calculus
    patterns: ["积分", "导数", "微积分", "求导", "定积分", "不定积分", "integral", "derivative", "∫", "lim", "极限"]
    template: math-solve

  - id: math-algebra
    priority: 84
    subdomain: algebra
    patterns: ["代数", "矩阵", "向量", "多项式", "代数式", "因式分解", "algebra", "matrix",
               "polynomial", "行列式", "线性方程组"]
    template: math-solve

  - id: math-geometry
    priority: 82
    subdomain: geometry
    patterns: ["几何", "三角形", "圆", "面积", "体积", "周长", "勾股", "相似", "全等",
               "geometry", "angle", "直角"]
    template: math-solve

  - id: math-proof
    priority: 80
    subdomain: proof
    patterns: ["证明", "定理", "推导", "反证", "归纳", "proof", "theorem", "推论"]
    template: math-proof

  - id: math-probability
    priority: 78
    subdomain: probability
    patterns: ["概率", "统计", "期望", "方差", "分布", "组合", "排列", "probability",
               "statistics", "排列组合"]
    template: math-solve

  - id: math-number-theory
    priority: 76
    subdomain: number-theory
    patterns: ["素数", "质数", "整除", "最大公约数", "最小公倍数", "同余", "数论", "gcd", "mod"]
    template: math-solve

  - id: math-trigonometry
    priority: 74
    subdomain: trigonometry
    patterns: ["三角", "正弦", "余弦", "正切", "sin", "cos", "tan", "弧度", "角度"]
    template: math-solve

  - id: math-optimization
    priority: 72
    subdomain: optimization
    patterns: ["最优化", "极值", "最大值", "最小值", "最大化", "最小化", "最优解", "optimize",
               "最大值最小值", "约束优化"]
    template: math-optimize

  - id: math-general
    priority: 50
    subdomain: general
    patterns: ["数学", "计算", "等于", "math", "求值", "求和"]
    template: math-solve