等价的

By level function,ε-subdifferential, normal cone and dual function, global optimal solutions for a convex function in locally convex topological vector space and a few of equivalent forms on it are obtained. Maximum points are characterized.

讨论局部凸拓扑向量空间中凸函数的全局最优解，用水平函数、ε-次微分及法向锥和共轭函数等工具刻画其最大值点，得到最优解的几个等价形式。

In the third section, we prove the equivalent conditions of the alternate dual frames in Hilbert spaces.

第三节证明了Hilbert空间中的框架交错对偶的等价条件。

Duality theorem and saddle point optimality condition for the multiobjective semidefinite programming are then est...

然后利用鞍点的等价定义，得到多目标半定规划的鞍点最优性条件。

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 time-varying network condition, the analytic lower and upper bounds of EDs are given.

基于时变的网络条件给出了等价时延的上下界。

Using elementary discernibility matrix and the significance of attributes defined,a knowledge reduction algorithm for incomplete information systems is presented.

经典粗糙集理论建立在等价关系的基础之上，通过知识约简，为从信息系统中获取有用知识提供了一种全新的方法。

Firstly, an equivalence proposition of right qpm-injective module is discussed, and when the endomorphism of right qpm-injective module is right pm-injective ring is observed.

首先，讨论右qpm-内射模的一个等价命题，以及在什么情况下，右qpm-内射模的自同态环是右pm-内射环。

In chapter 4, According to the theory of scalar diffraction, firstly, the equipollence of spatial distribution of the plane-wave interferential field and parallel projective sine grating is discussed.

在第四章，根据标量衍射理论，首先讨论了两平面波干涉场的空间分布与平行投影正弦光栅的等价性。

In order to solve the disadvantage of robust filter algorithm which has great calculation and complicated deduce processing, an improved decentralized robust filter algorithm was designed through equipollent deduction and the on-line alterable value of γ f.

针对鲁棒滤波法计算量大和递推过程复杂的不足，通过等价推导，在线改变γf的值，设计了分散优化鲁棒滤波法，使得鲁棒滤波算法递推简单，避免了直接计算滤波增益阵，并减小了主滤波器计算负荷。

Another advantage of this approach is that the representative for the equivalence class can be chosen in a user specified manner.

这种方法的另一个好处是对等价类代表可在指定的方式，用户选择。

And Pharaoh spoke to Joseph, saying, Your father and your brothers have come to you.

47：5 法老对约瑟说，你父亲和你弟兄们到你这里来了。

Additionally, the approximate flattening of surface strip using lines linking midpoints on perpendicular lines between geodesic curves and the unconditional extreme value method are discussed.

提出了用测地线方程、曲面上两点间短程线来计算膜结构曲面测地线的方法，同时，采用测地线间垂线的中点连线和用无约束极值法进行空间条状曲面近似展开的分析。