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Neighborhood Filter Properties

QUESTION
Neighborhood Filter Properties
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ANSWER
- **Isotone (単調性)**: $W \supset V \in \mathcal{N}(x) \implies W \in \mathcal{N}(x)$ - **Finitely Complete (有限交差性)**: $V_0, V_1 \in \mathcal{N}(x) \implies V_0 \cap V_1 \in \mathcal{N}(x)$ - **Proper (固有性)**: $\emptyset \notin \mathcal{N}(x)$
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  • ソースノート: chapter2.md
  • カードID: neighborhood-filter-properties
  • 状態: active