1) versal unfolding
通用开折
1.
Based on the left-right equivalent relation of smooth map-germs in slgularity theory,the neessary and sufficient condition for unfolding of equivariant bifurcation problem with two types of state variables under a subgroup A1(Γ) of left-right equivalent group to be versal unfolding are studied.
基于奇点理论中光滑映射芽的左右等价关系,得到了在左右等价群A(Γ)的一个子群作用下,含两组状态变量的多参数等变问题的开折是通用开折的充要条件。
2.
The main results:(1) the equivalence classes of versal unfoldings of bifurcation problems are one-to-one corresponding to the orbits of the bifurcation problem; (2) the necessary and sufficient condition of stability of bifurcation problems.
得出了在一定的条件下 ,分歧问题的U -等价轨道与其通用开折的等价类是一一对应的结论 ,并给出了分歧问题余维有限开折稳定的充分必要条件 。
3.
On this base,some properties of ΓΔ-equivariant bifurcation problem under contact equivalence are obtained:the finite modules over the rings of ΓΔ-invariant functons and the property of its tangent space are obtained and an sufficient and necessary conditon that an unfolding of ΓΔ-bifurcation problem is a versal unfolding is given.
文章将主要研究在广义对称条件下分歧问题的相关性质,提出ΓΔ-等变概念,它是一般定义下等变概念的推广,在此基础上研究在接触等价条件下ΓΔ-等变分歧问题的相关基本性质:ΓΔ-不变函数芽环上的有限生成模与相应切空间的性质,ΓΔ-等变分歧问题的开折是通用开折的一个充分必要条件。
2) A(Γ)-universal unfolding
A(Γ)-通用开折
3) general-use switch
[电]通用开关
4) general application development
通用应用开发
5) unfolding
[英]['ʌn'fəuld] [美][ʌn'fold]
开折
1.
Uniqueness and stability of unfoldings of equivariant bifurcation problems with two groups of state variables;
含两组状态变量等变分歧问题开折的唯一性和稳定性
2.
Infinitesimally Stable Unfolding of Equivariant Bifurcation Problems;
等变分歧问题的无穷小稳定开折
3.
Graded Stability of Unfoldings of Smooth Map Germs;
光滑映射芽的开折的分级稳定性
6) general standard of material for fixation of fracture
骨折固定器材通用标准
补充资料：开折
1.攻破使损伤。
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条