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单词 projective space
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projective space
projective space n. Mathematics a space which may be regarded as obtained by taking a vector space of the next higher dimension, identifying all vectors which are multiples of one another, and omitting the origin.
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projective space1900
1900 Amer. Jrnl. Math. 22 336 The bilateral projective space is the ordinary projective space, while the unilateral projective space Rn is in effect the space of rays diverging from a point in metric space Rn+1.
1960 P. J. Hilton & S. Wylie Homology Theory iii. 133 The real projective space Pn may be defined as the image of the n-sphere Sn under identification of all pairs of antipodal points.
1992 J. G. Oxley Matroid Theory vi. 165 Every finite projective space can be regarded as a matroid.
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