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asymptotic-notation-calculator

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

General

What this skill does


# 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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