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单词 Points at infinity
释义

Points at infinity

英语百科

Hyperplane at infinity

(重定向自Points at infinity)

In geometry, any hyperplane H of a projective space P may be taken as a hyperplane at infinity. Then the set complement PH is called an affine space. For instance, if (x1, ..., xn, xn+1) are homogeneous coordinates for n-dimensional projective space, then the equation xn+1 = 0 defines a hyperplane at infinity for the n-dimensional affine space with coordinates (x1, ..., xn). H is also called the ideal hyperplane.

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