ConceptCompact Input Set / 紧致集
Compact Input Set
In Euclidean space, a compact set is equivalent to a bounded closed set. Compactness guarantees the uniform continuity of continuous functions and makes the finite cover lemma applicable, making it an important condition for uniform convergence in analysis.
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Oct 14
Compactness is equivalent to being bounded and closed in Euclidean space, guarantees the uniform continuity of continuous functions, and makes the finite cover lemma available; in the lifting process it allows the entire domain to be approximated by a finite grid.
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