@@ -17,14 +17,14 @@ pytest==7.4.1 # Framework for testing Python code
1717# NTRU library for quantum-resistant cryptography
1818ntru == 0.1.0 # NTRU encryption library for post-quantum security
1919
20- # Additional libraries for data visualization (optional)
20+ # Data visualization libraries
2121matplotlib == 3.7.2 # Comprehensive library for creating static, animated, and interactive visualizations
2222seaborn == 0.12.2 # Statistical data visualization based on matplotlib
2323
24- # Optional: dotenv for environment variable management
24+ # Environment variable management
2525python-dotenv == 0.21.0 # For loading environment variables from a .env file
2626
27- # Additional libraries for enhanced functionality
27+ # HTTP requests and secure data handling
2828requests == 2.31.0 # For making HTTP requests
2929cryptography == 39.0.1 # For secure data handling and encryption
3030
@@ -41,14 +41,14 @@ aiohttp==3.8.5 # Asynchronous HTTP client/server framework
4141# Data serialization and messaging
4242protobuf == 4.25.0 # Protocol Buffers for data serialization
4343
44- # Additional libraries for enhanced performance and functionality
44+ # Web framework for building APIs
4545fastapi == 0.103.0 # FastAPI framework for building APIs with Python 3.6+ based on standard Python type hints
4646uvicorn == 0.23.0 # ASGI server for running FastAPI applications
4747
4848# Quantum computing libraries (optional)
4949qiskit == 0.43.0 # Quantum computing framework for creating and running quantum circuits
5050
51- # Additional libraries for enhanced functionality
51+ # Machine learning and deep learning frameworks
5252tensorflow == 2.14.0 # TensorFlow for machine learning and deep learning
5353torch == 2.0.1 # PyTorch for deep learning applications
5454transformers == 4.30.0 # Hugging Face Transformers for natural language processing
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