关于点列上射影变换的一点注记

A Note on the Projective Transformation of Range of Points

讨论点列上射影变换的Steiner定义与Von Staudt定义的差别。主要结论如下:这两个定义在实点列上是等价的。但在夏点列上并不等价;就有限域GF(p^n)上的点列而言,当素数p≠2,n=1时,这两个定义是等价的,当素数p≠2,自然数n≠1时,这两个定义并不等价。

Discusses the difference between Steiner's and Von Staudt's definitions on the projec-tive transformations of range of points. The main conclusion is that these two definitionsare equivalent for the range of points over complex number field; for the range of pointsover finite field GF(p^n). these two definitions are equivalent when prime number p≠2, n=1, and are not equivalnet when number p≠2, natural number n=1.