accessibility-patterns
WCAG 2.2 AA compliance, ARIA patterns, keyboard navigation, screen reader optimization
@vibeevalInstall SkillDevelopment
Skill
/convergence
Problem-solving strategies for convergence in real analysis
Claude Code
$ npx -y skills add vibeeval/vibecosystem --skill convergence --agent claude-code
Codex
$ npx skills add vibeeval/vibecosystem --skill convergence -a codex -y
Cursor
$ npx skills add vibeeval/vibecosystem --skill convergence -a cursor -y
Gemini CLI
$ npx skills add vibeeval/vibecosystem --skill convergence -a gemini-cli -y
GitHub Copilot
$ npx skills add vibeeval/vibecosystem --skill convergence -a github-copilot -y
OpenCode
$ npx skills add vibeeval/vibecosystem --skill convergence -a opencode -y
Windsurf
$ npx skills add vibeeval/vibecosystem --skill convergence -a windsurf -y
SKILL.md
convergence.SKILL.mdname: convergence description: "Problem-solving strategies for convergence in real analysis" allowed-tools: [Bash, Read]
Convergence
When to Use
Use this skill when working on convergence problems in real analysis.
Decision Tree
1. **Identify Sequence/Series Type**
- Geometric series: |r| < 1 converges
- p-series: p > 1 converges
- Alternating series: check decreasing + limit 0
2. **Apply Convergence Tests**
- Ratio test: `sympy_compute.py limit "a_{n+1}/a_n"`
- Root test: `sympy_compute.py limit "a_n^(1/n)"`
- Comparison test: find bounding series
3. **Verify Bounds**
- Use `z3_solve.py prove` for inequality bounds
- Check monotonicity with derivatives
4. **Compute Sum (if convergent)**
- `sympy_compute.py sum "a_n" --var n --from 0 --to oo`
Tool Commands
Sympy_Limit
uv run python -m runtime.harness scripts/sympy_compute.py limit "a_n" --var n --at oo
Sympy_Sum
uv run python -m runtime.harness scripts/sympy_compute.py sum "1/n**2" --var n --from 1 --to oo
Z3_Prove
uv run python -m runtime.harness scripts/z3_solve.py prove "series_bounded"
Cognitive Tools Reference
See `.claude/skills/math-mode/SKILL.md` for full tool documentation.
Stats
549
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Maintenance
C#
Language
MIT
License
Last commit
Created
Ships withvibecosystem
A focused runtime for Claude Code. A bounded worker for Codex. Catalog (in repo): Default core: vibecosystem packages agents, skills and hooks for software work.
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Questions about convergence.
- Which coding agents can use convergence?
- convergence installs in Claude Code, Codex, Cursor, Gemini CLI, GitHub Copilot, OpenCode and Windsurf with the skills CLI, using each agent's flag shown on this page. Flowy's auto-invocation, which fires a skill when your prompt matches, runs in Claude Code only.