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math-symbolic-computation

用 SymPy 与 NumPy 做符号与数值计算的实用指南。用于化简、求导、求极限、级数展开、解方程、数值验证与反例搜索。当需要实际运行符号/数值计算来验证猜想或生成算例时使用。

skills/math-symbolic-computation/SKILL.md

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# 符号与数值计算指南（SymPy / NumPy）

原则：所有结果必须由实际运行产出，报告命令与输出关键行，不手填结果。符号结果要独立验证，数值结果要报告误差。

## 符号计算（SymPy）

```python
import sympy as sp

x, n = sp.symbols('x n', real=True)   # 声明实数可帮助化简
y = sp.Function('y')

sp.simplify(expr)                     # 化简
sp.expand(expr)                       # 展开