# Asymptotic Notation Calculator

> Automated derivation and simplification of Big-O, Big-Omega, and Big-Theta expressions for algorithm analysis

- Skill: `a5c-ai/asymptotic-notation-calculator` (Agent Skill)
- Install (CLI): `npx skillmds@latest add a5c-ai/asymptotic-notation-calculator`
- Raw SKILL.md: https://api.skillmd.com/api/skills/a5c-ai/asymptotic-notation-calculator/raw
- Safety review: pending (external: skill-scanner PASS, skillspector PASS)
- Works with: Claude Code, Claude.ai, OpenAI Codex
- Category: Coding & Dev Tools
- Author: a5c-ai (https://skillmd.com/u/a5c-ai)
- Updated: 2026-09-09
- Page: https://skillmd.com/skills/a5c-ai/asymptotic-notation-calculator

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# Asymptotic Notation Calculator

## Purpose

Provides expert guidance on analyzing, simplifying, and comparing asymptotic complexity expressions for algorithm analysis.

## Capabilities

- Parse and simplify asymptotic expressions
- Compare complexity classes
- Identify dominant terms
- Handle logarithmic, polynomial, and exponential factors
- Generate LaTeX-formatted notation
- Prove asymptotic relationships

## Usage Guidelines

1. **Expression Analysis**: Parse complexity expressions into canonical forms
2. **Simplification**: Apply dominance rules to simplify nested expressions
3. **Comparison**: Determine ordering between complexity classes
4. **Documentation**: Generate properly formatted asymptotic notation
5. **Verification**: Prove Big-O, Big-Omega, and Big-Theta relationships

## Tools/Libraries

- SymPy
- Symbolic computation
- LaTeX rendering