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1)  perturbed gap function
扰动间隙函数
1.
By using a perturbed gap function,the Hausdorff lower semicontinuity of the solution set maps are established.
我们在局部凸Hausdorff拓扑向量空间中,讨论了广义向量拟平衡问题解集映射的上半连续性以及闭性,并利用扰动间隙函数证明解集的Hausdorff下半连续性。
2)  Gap function
间隙函数
1.
This paper puts forward the baffle of the traditional mathematic program model of User Equilibrium , applies the nonlinear complementarity problem( NCP) to reformulate the UE, let it useful in situation where the route cost is non-additive, and then uses a gap function to convert the NCP to an equivalent unconstrained nonlinear programming, finally, presents an algorithm presented.
提出了传统的求解用户平衡配流(UE)的数学规划模型的局限性,应用非线性互补(NCP)将用户平衡问题进行重构,使其能够在路径费用是路段费用非叠加性增函数的情况下适用,然后采用间隙函数将NCP转化成一个等价的无约束非线性规划,并提出了解法。
2.
Finally, by using the two conjugate dual problems, we obtain two set-valued gap functions for a vector equilibrium problem and some inclusion relations between the two set-valued gap functions, respectively.
最后,作为Lagrangian对偶与Fenchel-Lagrange对偶问题的应用,分别得到了向量平衡问题的两种集值间隙函数以及这两种集值间隙函数之间的包含关系。
3)  Disturbance function
扰动函数
1.
The disturbance functions are revised based on the internal microscopic structural changes of the rock, a numerical solution is proposed for a constitutive equation of general disturbance status, and the result of theoretical calculation is compared with that of experiment, which demonstrates that the concept of disturbance status is a good method for simulating the cons.
分析了相对完整状态、完全调整状态的选择,根据岩石的内部微结构变化的特点修改了扰动函数,提出了一般形式的扰动状态本构方程的数值解法,并将理论计算结果与实验结果相比较,证明扰动状态概念是一种能较好模拟工程材料本构关系的方法。
4)  perturbation function
扰动函数
1.
The calculation formulas of object surface normal after action of a perturbation function, and their meanings are discussed.
简要说明计算机图形学光照模型理论 ,讨论由扰动函数作用后物体表面法向量的计算公式和意义 ,介绍对物体表面细节的凹凸真实性处理过程中几个重要参数 。
2.
This paper presents a precise formula for duality gap of nonconvex programming by employing convex hull of a perturbation function without any assamytions about convexity.
本文对于非凸规划的对偶间隙提出一个精确的表达式,使用的工具是扰动函数的凸包,文中没有任何凸性的假定。
3.
In this paper,we introduce a Lagragian method,so we discuss zero duality gap,the lower-semicontinuous of perturbation function,some convergence analysis of optimality condition,and nonlinear penalty functions.
通过介绍一类非线形拉格朗日方法,讨论了扰动函数的下半连续性,一些最优性条件的收敛性分析以及非线形罚函数。
5)  D-gap function
D-间隙函数
1.
By changing the perturbution to strongly monotone VIP,basing on the equivalent D-gap function,a derivative-free algorithm is given,and each accumulation point obtained by this algorithm is a solution to the original VIP under suitable conditions.
利用广义的D-间隙函数提出一种无需计算函数梯度的算法,进一步证明此算法产生的每一聚点都是原变分不等式的解。
6)  Auslender gap function
Auslender间隙函数
补充资料:扰动
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性质:驰豫动力学中有下述两种扰动方法。⑴跃变方法(jump method)。外部条件引起体系温度、压力等的跃变,从而引起原有的平衡破坏而趋向与新的平衡。跃变时间与化学反应时间相比认为是瞬时完成的,如温度跃变法、压力跃变法、电场跃变法等。可参见梯度函数。⑵稳态方法(stationary method)。其扰动是周期性的,如方波扰动、正弦扰动,体系组分的浓度呈周期性的变化,可参见超声吸收、介电弛豫等。稳态扰动又称定常扰动(steady disturbance)、定常法(steady method )。

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