continuity
by parcadei
Context management for Claude Code. Hooks maintain state via ledgers and handoffs. MCP execution without context pollution. Agent orchestration with isolated context windows.
Run in ManusUse Cases
MCP Server Integration
AI tool integration using Model Context Protocol. Using continuity.
API Integration
Easily build API integrations with external services.
Data Synchronization
Automatically sync data between multiple systems.
SKILL.md
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.
Score
Total Score
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Reviews
Reviews coming soon
