3.9 KiB
3.9 KiB
Determine ALL blocks (concepts, techniques, rules, functions — the smallest learnable units) of the topic "{topic}" for a learning guide.
{source}
Rules:
- A block solves EXACTLY ONE PROBLEM. Variants of the same solution belong in the one block, not as separate entries (right:
<p>is one block,<input>with all types is one block, "Ich-Botschaften" is one block, "Present Perfect" with all signal words is one block; wrong: 21 entries for each input type or one entry per irregular verb, but also collective entries that mix several problems). - A block is ATOMIC: exactly one idea, complete in itself. Test: you can remove nothing without making it incomplete — and nothing is missing to understand it.
- Granularity: a block is a LEARNING UNIT, not a dictionary entry. Families learned together (e.g. the font-* properties, the modal verbs) are ONE block.
- Abstraction level (important): a block is self-contained — explainable WITHOUT presupposing ANOTHER block as its subject. These are problems, methods/algorithms, definitions, named theorems with their own statement. A detail that presupposes another concept belongs IN that concept's block (as a part), not as its own entry:
- A PROPERTY of a concept belongs to the concept: „Clique" is a block; „Clique ist NP-vollständig", „Clique ∈ NP", „Laufzeit von Clique" are parts of it — not their own entry.
- A PROOF/reduction component or a constructed HELPER OBJECT belongs to the theorem/reduction it serves: „A-Komponente", „Dummy-Item", „αEnde", „Hilfsvariable", helper functions/weightings, helper schedules, constructed graphs/tours/gadgets — not its own entry.
- A single COMPUTED instance or result value belongs to the argument that produced it: a specific number, graph, tour, or schedule built inside one example/proof („OPT(…) = n", a concrete constructed input) is not its own entry.
- PARAMETER INSTANCES of the SAME argument are ONE block: the identical technique applied to different parameters or cases („… via k / via n / via |E|", „für n=1 / n=2") is a single block, not one entry per parameter.
- Pure NOTATION/symbols belong to their definition: „|x|", „Σ∗" — not their own entry.
- A standalone REDUCTION between two problems, however, is its own block („3-SAT ≤ Clique"); likewise a named theorem that states its OWN result stays a block — named after the result, not the source numbering.
- NO categories, NO ranking, NO ordering by importance — only a flat, numbered list.
- Aim for the natural number of genuine learning units for this material — there is no hard quota, but do NOT split hairs to inflate the count (prefer the "families learned together = ONE block" rule above). STOP when the only remaining candidates are exercises, meta-questions, administrative notes, or duplicates of blocks you already listed.
- EXCLUDE non-content — these are NEVER learning blocks: exercise/task/assignment scaffolding ("Aufgabe 3", "Bonusaufgabe", "Übung", "Blatt 11", point values), meta/assessment items ("welche der folgenden…", true/false prompts, hand-in / exam-date notes), administrative & boilerplate (headings, page/room/exam numbers, names, copyright), and any file names, paths, or URLs (those are provenance, recorded separately — never a block or part of one).
- Invent nothing: include only blocks actually supported by the provided material.
- Write title and description in GERMAN (technical terms/code identifiers stay original).
- Description at most ~12 words.
Write ONLY the Markdown file to: {blocks_path}
Format: EXACTLY one line per block: N. Title — Kurzbeschreibung
Use the em-dash " — " (a space on EACH side) ONLY to separate the title from the short description — never elsewhere in the line, and never inside the title or the description. Do NOT append the source file name, path, or URL to the line — provenance is recorded separately by the pipeline.
{focus}
{extra}