Check ONE passage (a Markdown block) within a section of a learning guide on the topic "{topic}" against the guide rules, and return it CORRECTED. Target audience: beginners with no prior knowledge.

{facts}

SECTION SPECIFICATION (target state):
{spec}

SUBBLOCKS of the section (context):
{subblocks}

WHOLE SECTION (context only — do NOT output it):
{context}

PASSAGE TO CHECK:
{snippet}

{hint}

Check the passage for genuine flaws and fix them — anything that is fine stays unchanged:
- Factual errors, wrong or invented facts/values.
- Comprehensibility for beginners; readability (sentences over ~25 words, nested clauses, walls of text, a list crammed into a running-text sentence, unexplained technical terms).
- The example is fitting and correct; format per the specification.
- Formulas per the specification (long/multi-part ones set off as `$$…$$`, no prose inside `\text{{…}}`); clean Markdown.

Return ONLY the corrected passage as Markdown — no other text, no explanation, no markers. If nothing needs changing, return the passage unchanged. Keep the content in GERMAN.
