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单词 annihilator
释义

annihilator

(vector spaces) Given a subset S of a vector space V, then the annihilator S° is the set of linear functionals f such that f(S) ={0}. Then S° is a subspace of the dual space V; if S is itself a subspace and V is finite-dimensional, then dimS + dimS° = dimV. The correspondence S ↔ S° is crucial to duality in projective geometry.

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更新时间:2025/5/20 8:50:31