Study Material

Output Structure

The document MUST contain all of the following sections in order:

Header

• Title of the lab work
• Topic / subject area

1. Theoretical Background

• Full explanation of the underlying theory relevant to the lab
• Key definitions and terminology with clear explanations
• All relevant formulas with descriptions of every variable
• Conditions of applicability and limitations

2. Methods and Algorithms

• Step-by-step description of each method used in the lab
• Decision criteria (e.g., statistical thresholds, critical values)
• Interpretation rules for results

3. Worked Example Summary

• Brief walkthrough of how the methods apply to the specific variant from TASK.md
• Reference key intermediate results (do NOT re-solve; summarize what was done)

4. Key Takeaways

• Bullet list of the most important facts and relationships a student must remember
• Common mistakes and how to avoid them

5. Control Questions and Answers

• At least 10 questions covering all major topics from the lab
• Questions should range from basic definitions to applied/analytical
• Each question MUST be followed by a complete, detailed answer
• Format:

#### Q1: <question text>

**Answer:** <full detailed answer>

Writing Rules

• Language: Russian (match the assignment language)
• Be thorough and complete — the material should be sufficient for exam preparation
• Write formulas using LaTeX syntax ($...$ for inline, $$...$$ for display)
• Do not copy-paste raw code; explain concepts in prose
• Do not modify any existing project files (TASK.md, docs/, notebooks)
• Keep the tone academic but accessible

Constraints

• Output is a single file: STUDY_MATERIAL.md in the project root
• Do not duplicate the report; this is a learning aid, not a formal document
• Questions must have answers — never leave answers blank or partial
• Cover the full breadth of the lab topic, not just the variant-specific part