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Asymptotic Notation Calculator

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

Installable skillMITBy a5c-aiUpdated Oct 30, 2026
INTENDED FOROpenClawInstall in a listed agent.

instructions.md

---
name: asymptotic-notation-calculator-f8306b39dc61
description: Automated derivation and simplification of Big-O, Big-Omega, and Big-Theta expressions for algorithm analysis
allowed-tools:
  - Bash
  - Read
  - Write
  - Edit
  - Glob
  - Grep
metadata:
  specialization: computer-science
  domain: science
  category: algorithm-analysis
  phase: 6
graph:
  domains: [domain:computer-science]
  specializations: [specialization:theoretical-computer-science]
  skillAreas: [skill-area:np-hard-heuristics, skill-area:mathematical-reasoning, skill-area:dynamic-programming]
  workflows: [workflow:research-grant-lifecycle]
  roles: [role:computational-scientist, role:research-engineer]
---

# 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

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Platform guidance

Imported from the listed AgentSkill.sh category. Complete supplied package files and notices are retained. Required external tools and credentials are not installed. No bundled code was executed during import. Individual agent task behavior has not been tested.