范数

The advice on selecting weight function and its parameter in MLS method is presented by analyzing the influence of weight function curve on the precision of computational result on the basis of energy norm proposed.

通过建立误差的能量范数，对照分析了权函数曲线的分布规律对逼近结果的精度影响，得到了在移动最小二乘法逼近中选择权函数及其相关参数的建议。

By re-constructing the system, the residual error dynamic characteristics of unknown input and fault signals including unknown disturbances and modelling error are obtained. The energy norm indexes of disturbance and fault signals of residual error are selected separately to reflect the restraint of disturbance and the sensitivity of faults, and the design of fault detection observer is described as an optimization problem.

通过对系统进行重构，获取了包括未知扰动、建模误差等未知输入信号和故障信号的残差动态特性，分别选取残差的扰动信号和故障信号的能量范数指标来体现其对扰动的抑制作用和对故障的灵敏性，并将故障检测观测器的设计描述为一个优化问题。

In the framework of non-equilibrium elastoplastic mechanics, the classic finite element method is extended to the analysis for post-failure state of structure, where the plastic complementary energy norm serves as the criterion of global stability while the unbalanced force and its development indicates the pattern and path of destruction.

在非平衡态弹塑性力学框架下，将经典有限元拓展到结构失稳后的分析，塑性余能范数即可作为库群失稳判据，而不平衡力及其发展则表征了库群失稳破坏的形态和演化路径。

The adaptive program is calculated by T-B stress recovery scheme and z-z error estimation, the error is estimated by energy norm of difference of recovery stress and meshless stress. If the local relative error exceeds the limit relative error, then new nodes will be generated at the high error area.

本研究的自适应方法采用TB应力平滑技术和Z-Z误差估计，利用平滑应力和无网格法所得应力解差值的能量范数来估算误差，如果局部相对误差超过了允许误差，则在高误差域插入新的离散点进行加密。

In the third part, the theory of thrust angle and unbalanced forces is studied andapplied to Xiluodu arch dam. some conclusions are obtained :(1) The thrust angle issmaller by elaso-plastic computation than elastic computation. For the non-linearcomputation, the thrust angles at different elevations all increase during overloading,which reveals the internal mechanism of good performance of arch dam in conditionof overloading;(2) The elaso-plastic theory always minimizes the actual unbalancedforces in the sense of a condition number in the norm ofcomplementary energy.

第三部分，通过对溪洛渡拱坝拱端推力角及不平衡力的研究，得出如下结论：(1)非线性计算较弹性计算的推力角大；对于非线性计算而言，拱坝超载过程中各高程段的推力角均有所增加，这反映了拱坝具有较高超载能力的内在机制；(2)在总余能范数的意义上，按弹塑性本构关系确定的不平衡力或加固力是最小的，弹塑性计算确定的加固力和真解相比偏于安全。

In order to overcome the two problems above, I propose the equipoise multichannel adaptive matching filtering method using L1-norm in this paper.

针对这两个问题，本文提出了基于1范数最小的均衡多道自适应匹配滤波法。

By lifting the table control system, we propose the state space model of the lifted system and H〓-norm equivalent discrete system, subsequently, we discuss computational methods of the discrete controller. The analytic and design results indicate that the methods in this dissertation are feasible and effective.

推导给出了转台控制系统的提升化状态空间模型及H〓范数等效离散控制系统的状态空间模型，给出了离散控制器的详细计算方法，并对转台控制系统的频率响应和时间响应进行了分析。

After discussing how to select the sensitivity and the complement sensitivity weight function, we summarize the concrete selection principles and give the concrete computation method of discrete controller through solving the H〓-norm equivalent discrete system on the premise of considering all the intersample information.

在控制器的计算方面，结合采样控制系统H〓控制理论，在考虑连续信号的全部信息的条件下，通过求解采样控制系统H〓范数等效离散控制系统，给出了离散控制器的具体计算方法。

By equivalent transformation, the interval system is transformed to an uncertain system with matrix norm bounds.

通过等价变换，将区间系统转换为对应的矩阵范数不确定系统，并据此导出区间系统的鲁棒滤波算法。

Li 101 proved the nonlinear ergodic theorem for semitopological semigroups of Lipschitzian mappings in the uniformly convex Banach space with the Frechet differentiable norm without using the concept of invariant mean and submean. In Chapter 1, we extend the results in [23 [24] to the case of almost-orbit.

Li［10］避开了不变平均及不变子平均的概念，在具Frechet可微范数的一致凸Banach空间中，给出了一般拓扑半群上渐近非扩张半群的遍历压缩定理。

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。