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单词 function space
释义

function space

A general term relating to a space of functions between two given sets X and Y. If the codomain has further structure (e.g. if Y = R), then functions can be pointwise added and multiplied, forming an algebra, and given a partial order. If the domain X is a topological space, then the space C(X) of bounded, continuous functions real-valued functions on X can be made into a normed vector space with inline. For vector spaces V and W, then Hom(V,W), denoting the space of linear maps from V to W, is a vector space itself. See also C0, C1, C∞, Cω, Lp.

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更新时间:2025/4/30 2:30:43