Asymptotic Notation Calculator

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

a5c-ai Updated 1.7k repo stars

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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

a5c-ai/babysitter/tree/main/library/specializations/domains/science/computer-science/skills/asymptotic-notation-calculator commit 6b96b12ce3

Frequently asked questions

npx skillmds@latest add a5c-ai/asymptotic-notation-calculator