function germs

In this paper, the zero-sets of function germs is embeded into some highter space and then it is projected to low space as submanifolds in high space.

将可微函数芽嵌入到高维空间中，将其零点集做投影映射，得到相对应的函数芽。

However, finite determinacy of smooth function germs is discussed under the actions of the right equivalent group and its subgroups.

对函数芽的有限决定性问题，主要是在右等价群及其一些子群作用下来讨论的。

R_ r~ ( S; n)-determinacy of Function-germs

函数芽的有限R r~（S；n）-决定性

Professor Li had discussed finite r-determinacy of smooth map germs in [ 2], and studied finite-determinacy of smooth function germs as a special topic in [ 3];

李养成教授在文献[2]中讨论了映射芽的有限R r-决定性的，在文献[3]中对函数芽的有限决定性进行了专题讨论；

Relative S-C~ 0 Sufficiency and Relative S-V Sufficiency of Jets of Function Germs

函数芽截断的相对S-C～0充分性和相对S-V充分性

In this paper, we carry out a research into the special case, that is the finite determinacy of smooth function germs under various subgroups of right equivalent group.

给出了关于右等价群有限决定的光滑函数芽在函数芽运算下仍保持有限决定的一些充分条件。

The Canonical Form of Z_2 invariant C~ ∞ Function Germs

Z2不变的C~∞函数芽的典型形式