双线性

An extended hyperbolic mild-slope equation, which can take such terms as wind input, bottom friction and nonlinearity of wave into account, here has been deduced into a parabolic one in the form of a series of governing equations described with complex amplitude. It became a complete wave model when integrated with corresponding physical and imaginary boundaries, and can be solved through the improved Crank-Nicholson or the well known Alternating Direction Implicit difference method, both of which can accelerate the convergent speed , expand limitation of the mathematical method and improve the quality of the solution.

本文基于综合考虑底摩阻、风能输入及非线性影响的推广双曲型缓坡方程，将其进行转换，产生一个演变方程，其复振幅控制方程为抛物线性，并采用ADI差分格式、改进的Crank-Nicholson格式及相应的物理和虚拟边界条件进行求解，以提高数值模拟的适用性、数值计算的稳定性、收敛速度及精度。

People are required to know and analyze the operating axes of rotary kiln in time in practice, in order to adjust and maintenance it in reason. So The Great Wall Aluminum Corporation of China bankrolled for studying the microcomputer real-time monitoring system of large-scale rotary kiln and commissioned Central South University to develop it.Based on analyzing and comparing the status quo of the monitoring system of rotary kiln, this paper brings forward a new method of monitoring the operating status of rotary kiln. It analyses the system-error and the configuration and demonstrate the feasibility in detail. In the design of hardware configuration it analyzes the principle and speciality of the tailor-made eddy current transducer and PCI-1713 analog input card and the multilevel supervisory network.

本论文首先在分析和比较同内外回转窑检测系统现状的基础上，首次提出了新的回转窑运行状态检测方法，并从系统误差及可行性角度进行了详细的分析和论证；其次，在监测系统硬件结构设计中，详细地分析了多级管理网络的实现，PCI-1713双缓冲区高速数据采集装置的原理、特点、工作过程，以及针对该系统恶劣的工作环境、特定性能要求而设计的特制电涡流传感器的原理、波形特性及性能特点，及为了减小非线性误差而采用计算机软件进行多段线性插补方法实现误差补偿；另外，在系统软件设计中，详细地分析了高速数据采样软件、智能信号处理软件、系统监测软件的实现，分析了采用模糊自适应滤波方法有效地滤除本系统恶劣环境下的各种干扰因素，并简要地介绍了系统分析软件的功能。

This paper proposes an analog synthesis circuit of a wavelet function approximator using sigmoidal mother wavelet.

小波函数使用反曲型母小波模拟，电路由双极型晶体管、可控放大器和线性无源电子元件等组成。

Under a given assumption, the author of this paper obtained the uniformly powerful asymptotic expansion of M order and made an estimation of the remainder in asymptotic series.

研究拟线性双曲型方程柯西问题，在一定假设下，得到解的M阶一致有效的渐近展开式，并作出余项估计

In the second part, the yan jingxiang shuangtongliang model for radiation and the linear time perturbation theory are used in this paper, and the helical magnetic instability is analysed in an axial magnetic field.

第二部分：采用沿径向双通量辐射模型和与时间有关的线性微扰理论，讨论了在轴向磁场中影响电弧螺旋不稳定性的一些因素。

The detection limit is 3.25×10-9g. It was found that the methods of double capillary GC were simple and efficient for identification and detection of homologous series of benzene in environmental water.

结果表明，所建立的双毛细管柱定性定量分析苯系物方法，具有简便、灵敏、准确、线性范围宽的优点，适合于水中痕量苯系物的监测分析。

In chapter 3, the linear approximate method of Bessel function for measuring nanometer vibration is studied. The error of linear approximate is analyzed and the theoretical measurement range of this method is given.

在此基础上，首次提出了一种双光路DSPI振动测量系统，利用退敏感光路使贝塞尔函数线性近似法的测量范围扩大了24倍，由近50nm增至1150nm。

A semilinear biharmonic equation is studied.

研究了一个半线性双调和问题。

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。

The bilinear programming is converted into a max-min problem on the principle of duality, and a linear approximation algorithm for the max-min problem is presented, which proves to be convergent in finite steps.

利用对偶原理，将双线性规划问题转化为极大极小问题，研究了该极大极小问题的线性逼近算法，并证明了该算法在有限步内收敛。

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