Mmcp.market

continuity skill

by parcadei·parcadei/Continuous-Claude-v3·3.9k stars·MIT

Problem-solving strategies for continuity in real analysis

A100/100content scan

Is the continuity skill safe?

Clean: nothing in its files matched our rules. We read 1 file in the folder on 2026-09-28.

No findings.

Install the continuity skill

A skill is a folder. Copy it into your agent's skills folder and the agent loads it when the task matches its description. 

git clone --depth 1 https://github.com/parcadei/Continuous-Claude-v3.git /tmp/Continuous-Claude-v3
mkdir -p ~/.claude/skills
cp -r /tmp/Continuous-Claude-v3/.claude/skills/math/real-analysis/continuity ~/.claude/skills/continuity
available in every project

In the Claude apps, zip the folder and upload it from the Skills settings. The folder on GitHub

The instructions your agent would load

SKILL.md as published, without the frontmatter. Read it on GitHub

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)
  1. Use SymPy for Limit Check
  • sympy_compute.py limit "f(x)" --var x --at a
  • Compare with f(a)
  1. Piecewise Functions
  • Check left and right limits separately
  • sympy_compute.py limit "f(x)" --var x --at a --dir left
  1. Verify with Z3
  • z3solve.py prove "limitexists implies continuous"

Tool Commands

Sympy_Limit

uv run python -m runtime.harness scripts/sympy_compute.py limit "f(x)" --var x --at a

SympyLimitLeft

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.

More skills from parcadei/Continuous-Claude-v3

All agent skills → · MCP servers