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单词 Projective Space
释义

Projective Space

A Space which is invariant under the Group of all general Linearhomogeneous transformation in the Space concerned, but not under all the transformations of any Groupcontaining as a Subgroup.


A projective space is the space of 1-D VectorSubspaces of a given Vector Space. For Real Vector Spaces, theNotation or denotes the Real projective space of dimension (i.e., the Space of1-D Vector Subspaces of ) and denotes the Complexprojective space of Complex dimension (i.e., the space of 1-D Complex VectorSubspaces of ). can also be viewed as the set consisting of together with its Points at Infinity.

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更新时间:2024/11/15 7:47:51