# Core scientific computing packages
numpy>=1.21.0
scipy>=1.7.0

# Visualization
matplotlib>=3.5.0

# Parallel processing
joblib>=1.1.0

# Development and testing (optional but recommended)
pytest>=6.0.0
pytest-cov>=2.12.0

# Code quality (optional but recommended)
black>=22.0.0
flake8>=4.0.0
mypy>=0.950 