Agent skill
nsforge-verification-suite
驗證工具組合。觸發詞：驗證, verify, check, 維度, dimension。
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Install this agent skill to your Project
npx add-skill https://github.com/majiayu000/claude-skill-registry/tree/main/skills/data/nsforge-verification-suite
SKILL.md
驗證工具 Skill
⚠️ 驗證後必須向用戶展示結果！
- 驗證成功/失敗都要清楚告知用戶
- 維度分析結果要用人類可讀格式展示
工具速查
| 驗證類型 | 工具 | 參數 |
|---|---|---|
| 符號等價 | symbolic_equal(expr1, expr2) |
兩表達式 |
| 導數驗證 | verify_derivative(original, claimed, var) |
原式、宣稱導數、變數 |
| 積分驗證 | verify_integral(original, claimed, var) |
被積函數、宣稱積分、變數 |
| 解驗證 | verify_solution(equation, solution, var) |
方程、解、變數 |
| 維度分析 | check_dimensions(expr, units_map) |
表達式、單位映射 |
調用範例
python
# 符號等價
symbolic_equal("(x+1)**2", "x**2 + 2*x + 1") # → True
# 導數驗證：d/dx[ln(x²)] = 2/x ?
verify_derivative("ln(x**2)", "2/x", "x") # → correct: True
# 積分驗證：∫sin(x)dx = -cos(x) ?
verify_integral("sin(x)", "-cos(x)", "x") # → correct: True
# 解驗證：x=2 是 x²-4=0 的解？
verify_solution("x**2 - 4", "2", "x") # → correct: True
# 維度分析
check_dimensions("m * a", {"m": "kg", "a": "m/s**2"})
# → dimension: [mass]*[length]/[time]**2 = Force
常用單位映射
python
# 力學
{"F": "N", "m": "kg", "a": "m/s**2", "v": "m/s", "t": "s"}
# 藥動學
{"C": "mg/L", "V": "L", "k": "1/h", "t": "h", "D": "mg"}
# 熱力學
{"T": "K", "E": "J", "R": "J/(mol*K)", "n": "mol"}
驗證順序建議
- 維度分析 - 維度錯，結果必錯
- 符號驗證 - 代數正確性
- 數值抽樣 - 特殊情況
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