Please use **standard LaTeX typesetting for all mathematical formulas** in the document, including fractions, derivatives, integrals, subscripts and superscripts, matrices, Greek letters, etc.
Requirements:
1. Use genuinely rendered mathematical formulas; do not assemble formulas with plain text or Unicode characters.
2. Properly distinguish inline formulas from display formulas, and present complex formulas on their own centered lines.
3. Formulas should be clear, appropriately sized, and properly aligned, avoiding overflow, garbled characters, or truncation.
4. When generating PDF, Word, or PPT, ensure mathematical formulas display correctly in the final file.
5. After completion, check formula typesetting and page layout to ensure readability for reading, learning, and printing.
**Core requirement: professional typesetting quality of mathematical formulas takes priority, content must be accurate, and the overall result should be clean and aesthetically pleasing.**