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单词 Affine line
释义

Affine line

中文百科

仿射空间 Affine space

(重定向自Affine line)

仿射空间,又称线性流形,是数学中的几何结构,这种结构是欧式空间的仿射特性的推广。在仿射空间中,点与点之间做差可以得到矢量,点与矢量做加法将得到另一个点,但是点与点之间不可以做加法。

英语百科

Affine space 仿射空间

(重定向自Affine line)
Line segments on a two-dimensional affine space
An affine space is a subspace of a projective space, which is in turn the quotient of a vector space by an equivalence relation (not by a linear subspace)
No hay puntos distinguidos por definición

In mathematics, an affine space is a geometric structure that generalizes the properties of Euclidean spaces that are independent of the concepts of distance and measure of angles, keeping only the properties related to parallelism and ratio of lengths for parallel line segments. A Euclidean space is an affine space over the reals, equipped with a metric, the Euclidean distance. Therefore, in Euclidean geometry, an affine property is a property that may be proved in affine spaces.

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更新时间:2025/6/17 7:59:31