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单词 Hyperplane
释义

Hyperplane

Let , , ..., be Scalars not all equal to 0. Then the Set consisting ofall Vectors


in such that


is a Subspace of called a hyperplane. More generally, a hyperplane is any co-dimension 1 vectorSubspace of a Vector Space. Equivalently, a hyperplane in a Vector Space is anySubspace such that is 1-dimensional. Equivalently, a hyperplane is the Kernel of any Nonzero linear Map from the Vector Space to the underlying Field.
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