等价的

We define I-quasi-invex vector function ., I-strictly quasi-invex vector function and KT-I-strictly quasi invex vector function, and derive the above equivalent condition for unconstrained or constrained multiobjective programming.

于是，在本文的第三部分，我们定义了Ⅰ类不变拟凸、Ⅰ类严格不变拟凸、KT-Ⅰ类严格不变拟凸的向量值函数，并且在无约束或约束多目标规划中，获得了每个驻点是有效解的等价条件。

In the category Quant, it is proved that quotient object of any object of Quant can be induced by nuclei in the sence of isomorphism.

给出了在不同类型的Quantale中c-核映射的刻划以及c-核映射和r-核映射的等价性。

By means of state variables transformation, the problem of guaranteed cost reliable control with constraint of decay rate is reduced to an equivalent problem of guaranteed cost reliable control.

经过适当的状态变换，将原系统的指定衰减度保代价可靠控制问题转化为另一个等价系统的保代价可靠控制问题。

A new and complete version of Equivalence Theorem for REC is presented.

由此导出一个新的更完整的关于REC的等价性定理。

To realize reduced equivalent representation for functional dependency set, sameroot row, same-class row and same-class row family are presented, merging rules of same-root row in a schema matrix are defined, merging algorithm of same-root row and solving algorithm of same-class row family in a schema matrix are discussed.

为了实现函数依赖集的最简等价表示，提出了同根行、同类行、同类行族的概念，定义了模式矩阵M中同根行的合并运算规则，讨论了模式矩阵M中同根行合并算法，同类行族求解算法。

A scheme of adaptive sliding-mode robust tracking control based on sliding mode equivalent control and robotic dynamics regressor is put forward and globally asymptotic stability of robotic trajectory tracking control systems designed by adopting the presented controller is proved.

基于滑模等价控制的理论和机器人动力学回归模型，提出了一种机器人自适应滑模鲁棒跟踪控制方法，证明了采用这种控制器所设计的机器人轨迹跟踪控制系统是全局渐近稳定的。

On the basis, three equivalent statements are obtained. Let S be a semigroup with left central idempotents, then (1) S is a quasi-right semigroup;(2) S is a quasi-completely regular, and RegS is an ideal;(3) S is a nil-extension of strong semilattice of right semigroup.

在此基础上得到了3个等价命题：若S为具有左中心幂等元半群，则(1) S为拟右半群；(2) S为拟完全正则的，RegS为S的理想；(3) S为右群强半格的诣零理想扩张。

Bifurcation behaviour of nonlinear systems under the resonance condition isstudied when there are parametric and external excitations at the same time.

本文提出的映射迭代法可以有效地用于强非线性系统的定性分析，且对于弱非线性系统，其一次近似的平均方程与其它方法等价。

In chapter 2, we give the criteria of extreme point in Musielak-Orlicz function space. Meanwhile we get necessity and sufficient condition for that Musielak-Orlicz function space are rotundity as corollaries.

第2章得到赋Orlicz范数Musielak-Orlicz函数空间的点作为端点的充要条件，并借助此条件得出赋Orlicz范数Musielak-Orlicz函数空间严格凸的等价条件。

In this paper,δ-continuous and almost continuous Q\-1Q\-2-mapping are introduced, and continuous,δ-continuous, almost continuous are equivalence in the semiregular de Morgan topological algebra.

Q1Q2 -映射的连续性已在 [2 ]中讨论过，在本文中引进了 Q1Q2 -映射的δ-连续性，几乎连续性，并在半正则德摩根拓扑代数中证明了三种连续性的等价

I didn't watch TV last night, because it .

昨晚我没有看电视，因为电视机坏了。

Since this year, in a lot of villages of Beijing, TV of elevator liquid crystal was removed.

今年以来，在北京的很多小区里，电梯液晶电视被撤了下来。