- Reformatted text for better clarity and structure
- Preserved original content and technical details
- Enhanced visual separation of key points
- Maintained consistent markdown formatting
- Improved LaTeX formatting for mathematical equations
- Added bold notation for vectors and matrices
- Corrected superscript and subscript formatting
- Enhanced readability of mathematical expressions in the paper
Implemented a utility function `calculate_perpendicular_distance` in the `app/utils/__init__.py` module. The function calculates the perpendicular distance between a point and a line using NumPy, with type hints and runtime type checking using jaxtyping and typeguard.
