仿射坐标[Affine Coordinates] - 达人(其实～我是卧底，来自外星)

2005/04/28 | 仿射坐标[Affine Coordinates]
类别(∑〖数学〗) | 评论(0) | 阅读(97) | 发表于 19:55: The coordinates representing any point of an n-dimensional affine space A by an n-tuple of real numbers, thus establishing a one-to-one correspondence between A and
If V is the underlying vector space, and O is the origin, every point P of A is identified with the n-tuple of the components of vector OP with respect to a given basis of V.
If A is a three-dimensional space, each basis can be depicted by choosing its elements as the unit vectors of the x-axis, the y-axis, and the z-axis, respectively. In general, this will produce three axes which are not necessarily perpendicular, and where the units are set differently. Hence, Cartesian coordinates are a very special kind of affine coordinates that correspond to the case where ,,.; 0