余秩不等于2余维为7的可微函数芽的分类

Classification of germs of real-valued functions of differentiable corank f≠2 and codimension f=7

用奇点理论方法对函数芽的分类进行了研究 ,给出了余维为 7余秩不等 2的可微函数芽的分类 ,并指出这种情况下的标准形式为∑n- 1ε=1 εix2 i±x8n,εi=±1 .

Classification of gems of real-valued functions is studied by the methods in singularity theory and classitication of gems of real-valued functions of differentiable corank f ≠2 and codimention f =7 is given.It gives the normal form ∑n-1ε=1 ε ix 2 i±x n 8,ε i= ±1 in this cose.