Agent Skills
› parcadei/Continuous-Claude-v3
› continuity
continuity
GitHub提供实分析中连续性问题的解决策略，包括检查定义、使用SymPy计算极限及左右极限，并利用Z3进行逻辑验证。
触发场景
实分析连续性证明
函数极限计算与验证
安装
npx skills add parcadei/Continuous-Claude-v3 --skill continuity -g -y
SKILL.md
Frontmatter
{
"name": "continuity",
"description": "Problem-solving strategies for continuity in real analysis",
"allowed-tools": [
"Bash",
"Read"
]
}
Continuity
When to Use
Use this skill when working on continuity problems in real analysis.
Decision Tree
-
Check Definition
- f(a) exists (function defined at point)
- lim_{x->a} f(x) exists
- lim_{x->a} f(x) = f(a)
-
Use SymPy for Limit Check
sympy_compute.py limit "f(x)" --var x --at a- Compare with f(a)
-
Piecewise Functions
- Check left and right limits separately
sympy_compute.py limit "f(x)" --var x --at a --dir left
-
Verify with Z3
z3_solve.py prove "limit_exists implies continuous"
Tool Commands
Sympy_Limit
uv run python -m runtime.harness scripts/sympy_compute.py limit "f(x)" --var x --at a
Sympy_Limit_Left
uv run python -m runtime.harness scripts/sympy_compute.py limit "f(x)" --var x --at a --dir left
Z3_Prove
uv run python -m runtime.harness scripts/z3_solve.py prove "continuous_at_a"
Cognitive Tools Reference
See .claude/skills/math-mode/SKILL.md for full tool documentation.
版本历史
- d07ff4b 当前 2026-08-20 12:49
