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By Lagrange dual and scalarization of vector optimization, characterizations of solutions for which objective mapping satisfies weak convexity conditions are shown. The strongly and weak dual theorems for generalized subconvex-like mapping are obtained.

通过适当定义对偶问题和向量优化问题的标量化研究各解之间的关系，刻画目标映射满足弱凸性条件的优化问题解的特征，在目标映射是广义锥次类凸的条件下给出有关的对偶定理。

The optimality conditions of Kuhn-Tueker and Fritz John's saddle points of vector optimization for generalized subconvex-like mapping are presented. Lagrange dual mapping and relationships among optimality conditions of saddle points, efficient and weak efficient solutions for vector and scalar optimization are established.

在拓扑向量空间框架内研究广义锥次类凸映射的向量优化，给出了广义锥次类凸映射的Kuhn-Tucker和Fritz John鞍点的最优性条件和Lagrange对偶，建立鞍点最优性条件与向量优化有效解和弱有效解之间的联系。

Furthermore, the proof of correctness of CalcCycleTime is also the proof of the existence of cycle time, the existence of generalized eigenvectors, and the duality theorem.

本论文中给出的CalcCycleTime算法的正确性证明同时是周时存在性、广义特征向量存在性和对偶定理的证明。

We have obtained the dual cross product 〓 if a Kac-systemacts on a Hilbert 〓-module E;then we generalized Baaj and Skandalis'duality theorem.

我们得到当一Kac-系统作用在〓模E上时，两次交叉积E×S×S等价于〓；从而，Baaj和Skandalis的对偶理论是我们的一个特殊形式。

Based on the Dugdale model for the surface adhesive interaction, a generalized M-D model is derived for an arbitrary effective surface profile.

考虑任意有效的表面形状(要求中心部分首先进入接触)和任意的表面吸附作用，推广得到了广义Maugis模型。

By using generalized Duhamel's integral and integral transform, this paper investigates random response of an infinite beam on the Kelvin viscoelastic foundation subjected to a moving load.

利用广义Duhamel积分和积分变换，研究了粘弹性Kelvin地基上无限长梁在运动的线源平稳随机荷载作用下的随机响应。

A complete global analysis is given to the continuous vaccination models by using a generalized Dulac function.

在连续预防接种下，利用广义Dulac函数方法证明了无病平衡点和正平衡点的全局渐近稳定性。

Secondly,concerning Kolmogorov model and generalized Kolmogorov model with variable harvesting rate,this paper utilizes Dulac function to judge the existence of the close path curve,Bendixson cycle region to judge the direction of path curve,and constructs Lyapunov function to judge the global stability,in order to fit the general models.

对于三维种群模型，讨论了一类具有功能性反应的三种群模型在具有收获率的条件下的定性性质。

Due to the superior yield, strong consideration for MRI should be given for all infants, as primary generalized seizures are rare, and there is a high rate of cerebral dysgenesis.

鉴于上述结果，也由于全身性发作较为少见，且脑发育障碍是最常见病因，因此我们强烈推荐对所有患儿进行MRI检查。

To achieve effective convergence of the heterogeneous networks and support mobile computing、ubiquitous computing, the key is the generalized mobility management technology that is open,efficient,and access technology independent.

要实现有效地融合各异构网络，以保证在不同网络间的无缝移动，则开放、高效、与接入技术无关的移动性管理技术是其关键。

Plunder melds and run with this jewel!

掠夺melds和运行与此宝石！

My dream is to be a crazy growing tree and extend at the edge between the city and the forest.

此刻，也许正是在通往天国的路上，我体验着这白色的晕旋。