Agent skill

continuity

Problem-solving strategies for continuity in real analysis

parcadei3,879★ · 1 repos on radarProfile →
claude-codecan modify filesMIT
Install
npx skills add parcadei/Continuous-Claude-v3 --skill continuity --agent claude-code

Same command for any agent — swap --agent for codex, cursor, copilot.

Facts
Files in the skill folder: 1
SKILL.md size: 1 KB
Bundled scripts: none
Allowed tools: BashRead
Path: .claude/skills/math/real-analysis/continuity/SKILL.md
Open the folder on GitHub →
Where it comes from
Stars: 3,879
Language: Python
Read our review of the source →

Weekly change comes from our own snapshots, not the repository page — it measures attention, not adoption.

From the SKILL.md

# Continuity ## When to Use Use this skill when working on continuity problems in real analysis. ## Decision Tree 1. **Check Definition** - f(a) exists (function defined at point) - lim_{x->a} f(x) exists - lim_{x->a} f(x) = f(a) 2. **Use SymPy for Limit Check** - `sympy_compute.py limit "f(x)" --var x --at a` - Compare with f(a) 3. **Piecewise Functions** - Check left and right limits separately - `sympy_compute.py limit "f(x)" --var x --at a --dir left` 4. **Verify with Z3** - `z3_solve.py prove "limit_exists implies continuous"` ## Tool Commands ### Sympy_Limit ```bash uv run python -m runtime.harness scripts/sympy_compute.py limit "f(x)" --var x --at a ``` ### Sympy_Limit_Left ```bash uv run python -m runtime.harness scripts/sympy_compute.py limit "f(x)" --var x --at a --dir left ``` ### Z3_Prove ```bash 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.

What's inside
Steps it walks through
  1. When to Use
  2. Decision Tree
  3. Tool Commands
  4. SympyLimit
  5. SympyLimitLeft
  6. Z3Prove
  7. Cognitive Tools Reference
Commands it runs
uv run python -m runtime.harness scripts/sympy_compute.py limit "f(x)" --var x --at a
uv run python -m runtime.harness scripts/sympy_compute.py limit "f(x)" --var x --at a --dir left
uv run python -m runtime.harness scripts/z3_solve.py prove "continuous_at_a"
More from Continuous-Claude-v3
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About this skill
What does the continuity skill do?

Problem-solving strategies for continuity in real analysis

How do I install it?

Run `npx skills add parcadei/Continuous-Claude-v3 --skill continuity --agent claude-code` — it drops the skill into your project so the agent can pick it up. Swap the --agent value for codex, cursor or copilot if you use one of those.

Where does this skill come from?

From parcadei/Continuous-Claude-v3, a repository with 3,879 stars. We read it straight from the repository tree rather than a submitted listing, so what you see here is what is actually published.

Is a popular skill a good skill?

Not necessarily. Stars measure attention, not adoption — a repository can trend for a week and be abandoned. That is why we show the weekly change from our own snapshots next to the total, instead of a single flattering number.

Keep going