n元二次型的一个几何度量定理

A theorem of geometric measure about n-ary quadratic form

文章从代数学出发,以分析学为工具,获得了n元二次型的一个几何度量定理,并由此将一批几何度量的问题系统化,且处理方法简捷,推广了前人的相关结果。该文的方法与结果对从事金融数学、统计学等研究有一定的参考价值。

A theorem of geometric measure about n-ary quadratic form is given from the perspective of algebra by means of analytics, which can make a large number of geometric measure problems become systematic in a simple process. It extends some related results. These methods and results have positive reference value among the research of financial mathematics, statistics and other fields.