范数

Next,similar to the studies of Friedland-Hersonsky inequalities in norm form and Martininequalities for discrete groups of 〓,we establish 〓 type inequalitiesfor subgroups of unitary transformation group U(1,n,C)in complex hyperbolicspace 〓 and we also give several 〓 type inequalities in the form of fgfg〓for the norm algebra 〓 in C.

其次，我们对复双曲空间〓上的酉变换群U(1，n，C)的子群建立了〓型不等式，推广了Martin的相应结果。最后，我们对复数域C上的范数代数〓建立了形如〓的〓型不等式，推广了Friedland-Hersonsky不等式。

Firstly, the mesh dependent norms are introduced and the equivalent mixed variational problem of the fourth order obstacle problem is derived by the penalty method.

首先，引入网格依赖范数，通过加罚方法得到了与四阶障碍问题的等价的混合变分形式。

The main elements affecting load coupling characteristics among channels were analysed based on joint space dynamics equations of Stewart platform, and four kinds of load coupling evaluation index were presented with the matrix and vector norm theory.

基于Stewart平台关节空间动力学方程，分析了影响通道间负载交联耦合的主要因素，采用矩阵和向量范数理论提出了4种负载交联耦合评价指标。

This method can ensure to obtain all reasonable solutions meeting the fault equation, can be applied for various fault correlation criteria (such as various residual vector norm criteria) and underdetermined fault equation, and the algorithm is very simple and facile, not necessary to compile specific program for every particular condition.

首先给出求解故障方程的Monte Carlo算法，该算法能够保证得到满足故障方程的全部合理解；能够简单地用于各种故障相关性准则(例如各种残差向量范数准则)以及亚定故障方程的求解问题；并且算法简单易行，无需为每个特定情况专门编制计算程序。

However, with the increasing of the initial constraint condition or the optimization time interval, CNOP has less localized structures than the corresponding SV, What's more, the wave train structures may even be found in the whole zonal direction in the northern hemisphere.

c个例研究表明，在能量范数意义下，当SV在某一优化时间还没有促进纬向流向阻塞流转型的时候，CNOP可能导致了阻塞的爆发。

Then convergence has beenproved between normed convergence and weak convergence.

接下来，证明了收敛是介于依范数收敛和弱收敛之间的。

The design of output feedback H(subscript ∞) controllers is discussed for nonlinear discrete singular systems. First of all, by means of generalized Lyapunov function and linear matrix inequalities, zero solution E-asymptotically stable is studied for the system, a sufficient condition is given such that the system is zero solution E-asymptotically stable and a H(subscript ∞) norm constraint. And the output feedback H(subscript ∞) controller is designed to guarantee the performance of the resulting closed-loop system.

主要对非线性离散广义系统的输出反馈H控制器的设计问题进行讨论，首先利用广义Lyapunov函数和线性矩阵不等式，对系统的零解E-渐近稳定性问题进行分析，在此条件基础上给出系统零解E-渐近稳定且具有H范数约束的充分条件，然后设计系统的输出反馈H控制器，使得闭环系统具有同样的性能。

Then as for an arbitrary initializing bisymmetric matrix, we just need to get the bisymmetric solutions of the new equation in finite steps by applying the iterative method.

并将求最佳逼近的问题转化为求一个新方程的极小范数解的问题，同样可用迭代法求解。

Iterative method; Generalized bisymmetric solution; Least-norm solution; Optimal approximation

迭代解法；广义双对称解；极小范数解；最佳逼近。

For any initial generalized bisymmetric matrix $X_1$, when $AXB=C$ is consistent, we can obtain the generalized bisymmetric solution of the matrix equation AXB=C within finite iterative steps by the iteration method in the absence of roundoff errors; Moreover, the least-norm solution $X^*$ can be obtained by choosing a special kind of initial generalized bisymmetric matrix.

在不考虑机器误差的情况下，当矩阵方程AXB=C相容时，对任意广义双对称X_1，矩阵方程AXB=C的解可以经过有限步迭代得到；特别地，通过选择特殊地初始广义双对称矩阵极小范数解X^*。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。