1) saddle point criteria
鞍点准则
1.
This paper offers a new characterization method for an efficient solution of multiobjective programming satisfying the saddle point criteria.
本文给出多目标规划有效解适应鞍点准则的一个新的判别法 ,它不使用凸性的几何术语及凸分析中的概念。
2.
This paper sets up a dual problem of a single objective programming in subdifferential and introduces the conditions for the efficient solution of a multiobjective programming satisfying the saddle point criteria by the duality.
建立了单目标优化问题的用次微分表达的对偶问题,并用其对偶性给出多目标优化问题的有效解适合鞍点准则的条件。
2) intersection principle
交点准则
1.
author introduces the basic theory of HOUGH transform firstly,and then defines "prime line" and "additional line",offers the "intersection principle" to eliminate "additional line" out of parameter space,at last explains how to avoid "competition predominance of declining line" in applications.
介绍了应用HOUGH变换的基本原理,定义了"基本线"和"附加线"的概念,提出把"附加线"从参数空间剔除的"交点准则",补充了应用过程中对"斜线竞争优势"的消除方法。
3) ignition rule
点火准则
4) saddle
[英]['sædl] [美]['sædḷ]
鞍点
1.
The center-weak focus of a general system of degree “n” was transformed into a problem of generalized center-weak saddle.
将一般n次中心—细焦点系统,转化为广义中心—细鞍点系统。
2.
A problem of center-weak focus system of degree n(n denotes odd numbers) in qualitative theory of differential equation is transformed into the problem of generalized center-weak saddle system by a generalized transformation of generalized polar coordinates,which offers the calculation formula of eleven-order weak saddle values.
采用广义极坐标变换,将微分方程定性理论中的齐n次(n为奇数)中心———细焦点系统,转化为广义中心———细鞍点系统,给出了该系统的第11阶细鞍点量计算公式。
3.
We discuss the types of the equilibrium points,Hopf bifurcation,saddle separate relation place.
讨论平衡点的类型，Ｈｏｐｆ分支问题，鞍点分界线的相对位置，极限环的存在性。
5) Saddle point
鞍点
1.
Incomplete Lagrange function and saddle point optimality criteria fora class of nondifferentiable generalized fractional programming;
一类非可微广义分式规划的非完全Lagrange函数与鞍点最优性准则
2.
Existence of the saddle points under the weak continuity;
弱连续条件下鞍点的存在性
3.
It will present consistency of saddle point with Nash equilibrium,and prove the corresponding theorems.
讨论了二人常和博弈中的占优策略、最优策略与稳妥策略的关系,比较最小最大原理和最大最小法分别选取的支付大小,通过例子说明稳妥策略组合不一定是纳什均衡;提出鞍点与纳什均衡的一致性,并证明了相应的定理。
6) saddle-point
鞍点
1.
During the definition of new saddle point,x0∈V is not needed,so the new saddle-point optimality condition is obtained in this paper.
2003年,Sach引进了一种新的鞍点,在新鞍点定义中,不需要x0∈V,为此,本文最后得到了新鞍点的最优性条件。
2.
The saddle-point type optimality criteria are also proven by using the existing necessary conditions under the assumption of the class of(F,α,ρ,d)-convexity.
对于一类目标函数中有无限个分式的广义分式规划,给出了两个不完全Lagrange函数,并利用已有的最优性必要条件,在(F,α,ρ,d)-凸性的条件下,证明了鞍点最优性准则。
3.
For a class of generalized fractional programming whose objective function is composed of infinite fractions,the saddle-point type optimality criteria are proven by using the existing necessary conditions,under the assumption of the class of B-(p,r)-invexity.
对于一类目标函数中有无限个分式的广义分式规划,给出一个不完全Lagrange函数,并利用已有的最优性必要条件,在B-(p,r)-不变凸性的条件下,证明了鞍点最优性准则。
补充资料：鞍点
分子式：
CAS号：
性质：数学上同时具备极大与极小性质的点。应用于三维势能面及裂变核势能曲面上，与反应坐标相垂直的方向上过渡态位于势能的最低点，发生对称伸缩振动。在沿反应坐标方向上过渡态位于势能的最高点，发生不对称伸缩振动。过渡态在势能面所处的这一点即势能面的鞍点。
CAS号：
性质：数学上同时具备极大与极小性质的点。应用于三维势能面及裂变核势能曲面上，与反应坐标相垂直的方向上过渡态位于势能的最低点，发生对称伸缩振动。在沿反应坐标方向上过渡态位于势能的最高点，发生不对称伸缩振动。过渡态在势能面所处的这一点即势能面的鞍点。
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