双线性的

Secondly, we discuss the boundary value problem of two dimensional biharmonic equation in a rectangular field and its variational problem,discretize it by using dual tensor product of and the direct product and lining up of matrices, we get some special matrices which are the presupposition in exploring the fast computation, then solve the system of linear equations.

其次本文讨论了矩形域上二维双调和方程边值问题及其相应的变分问题，利用二元张量积小波分析和矩阵的直积、拉直技巧将变分问题离散化，从而使求解偏微分方程问题变为求解线性方程组的问题。一维情况两组基的张量积下得到的系数矩阵分别为块状七对角阵和稀疏矩阵。这些特殊结构为以后快速算法的研究打下一个基础。

There are three parts in our design: first, the dual-band branch line coupler provides two equal-power signals with 90° or -90° phase difference in each operating band. Second, the wideband switching circuit controls the two output powers of branch line coupler to excite the antenna structure for producing linear polarization wave or circular polarization wave. Third, the L-shaped fed conventional planar patch antenna is provided to overcome the coupling effect.

整体架构包含三个部分：L形电容耦合馈入式平面天线是为了克服平面式微带天线窄频的缺点；双频枝干耦合器提供天线在操作的两个频率点上各输出两组相差正九十度与负九十度的讯号，最后宽频的切换电路是将枝干耦合器的两组讯号作分配用以激发不同方向的天线以产生线性极化模态或同时激发两个垂直的天线以产生圆形极化模态。

We firstly look back thebirth of SD method,and then present the SD scheme presented by Johnson et.al.forlinear problem to explain the basic idea and implementation:At step 1,we change the testfunctionwhere(1,β)t is the streamline or character direction decidedby hyperbolic operator of the continuous problem,therefore the SD method belongs tothe Petrov-Galerkin method;At step 2,we adopt time-space finite element space,whoseelement is only continuous in space variables x but discontinuous in time variable t.

首先回顾了SD方法的产生过程，然后以线性问题为模型，描述了SD方法的基本思想和具体实现：第一步，将标准有限元方法的检验函数ν改成其中(1，β)t是连续问题的双曲算子部分所确定的流线方向。换言之，SD方法是一种Peterov-Galerkin有限元方法；第二步，采用时空有限元空间，其元素关于空间变量x是连续的，但关于时间变量t仅分段连续。

Then analyzed has compared the contravariant controller control strategy, in established in the SPWM inversion linearization model foundation to analyze the necessity which double-circle controlled, and in controlled in the link to introduce the PID adjustment, enhanced the control the dynamic response ability and the system stability, enhanced the power source the load compatibility and the output stability.

接着分析比较了逆变控制器的控制策略，在建立了SPWM逆变器的线性化模型基础上分析了双环控制的必要性，并在控制环节中引入PID调节，来提高控制的动态响应能力和系统的稳定性，以提高逆变电源的负载适应性和输出的稳定性。

The grey scale of the pixels in image is expressed by quantum bit and the relation between two pixels is described by means of the superposition of two quantum bit in this paper.Based on this,the average of linear hermitian operator in this superposition can be used for judging the edge of image and a new method for edge detection of image is so created.The rationality of the method is interpreted by probability theory here.

利用量子比特表示图像像素的灰度，用双量子位叠加态来描述两像素之间的关联，通过线性厄米算符在该量子叠加态中的平均值来判断像素的边缘特征，由此建立了一种新的图像边缘检测方法，并从概率论的角度对该方法的合理性给予解释。

In this thesis, the design scheme of a DSP-controlled inverter applied in mobile generator is presented at the beginning and then the design method of control system is mainly discussed. Equivalent output impedance model of instantaneous voltage and current closed-loop controlled inverter is established on the foundation mentioned above. How the values of LC filter, parameters of PI regulator and feedback coefficient etc. affect the external characteristic of inverter is analyzed in detail. Non-linear factor of inverter are also discussed and corresponding solutions are put forward.

本文首先给出了移动发电机DSP控制逆变模块的设计方案，着重讨论了控制系统的设计方法，在此基础上建立了电压电流瞬时值双闭环控制的逆变模块等效输出阻抗模型，对滤波器LC值、PI调节器参数和反馈系数等各项因素对逆变模块输出外特性的影响进行了详细分析，并探讨了逆变模块中非线性因素对输出波形的影响，提出了相应的解决方案。

On that basis, the corresponding linerized model is built, and the dynamic properties are analyzed while the configuration or end-point load is greatly changed, the predictable equation of the built-in frequency is established by virtue of perturbation method for the application of variable parameter control in that case.

利用拉格朗日方法推导了双杆柔性机械手的动力学方程，在此基础上了建立相应的线性化模型，分析柔性机械手当位形和负载发生较大改变所表现出的的动力学特性，用摄动方法建立了固有振动频率的预示表达式，以应用于位形和负载有较大改变情形的变参数控制。

This paper stated the application of parallel link mechanism in modern machine tools,set up the error analysis as to parallel link mechanism in the virtucal-axis machine tool,derived the double triangular error equations of parallel link mechanicsm in its horizontal posture,analyzed the linearity and non-singularity of the error equations,thus giving the normal splution to the horizontal posture error.

该文对并联机构在现代机床上的应用作了论述，建立了虚拟轴机床并联机构的一种误差分析方法，应用坐标变换原理导出了双三角并联机构水平姿态时的误差方程组；分析了误差方程组的线性和非奇异性，给出了水平姿态时的位姿误差正解；对工作空间中心线的误差分布规律进行了仿真，绘制了其误差分布曲线。

The analysis results show that the yield stress of the gel can be exactly obtained by the inflexion of strainstress loglog plot curve under stress control test and the crossover of the linear viscoelastic range and nonlinear viscoelastic range of stress scan test at a fixed frequency.

结果表明，选用控制应力模式的应变-应力双对数曲线拐点和应力扫描测试的线性黏弹区与非线性黏弹区界限能够准确的获取凝胶的屈服应力，凝胶屈服应力在温度低于50 ℃时随温度增加而小幅增加，屈服应力在剪切作用停止后恢复速度快，是有利于堵漏成功的因素。

A smooth approximation algorithm is then proposed based on hinge-finding algorithm via curved faces approximated to the hinging hyperplanes model, which can obtain a smooth approximation result and hold some good properties of hinge-finding algorithm such as simplicity and effectiveness.

本文对找链接算法做了两点改进，其一是扩充了链接超平面模型，在二维空间上弥补了链接超平面模型表示能力不足这一弱点。仿真实验显示使用扩充后的模型得到了更好的分片线性逼近结果。另一点改进是使用双曲光滑函数构造出了基于找链接算法的光滑逼近算法。理论分析证明了算法的可行性。仿真实验验证了理论分析。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新