简化方程

We derived the scalar quantity of magnetic quasi-static vector equation in the electromagnetic crystallizer in the cylindrical coordinates by assuming condition for the mathematical modeling of the electromagnetic crystallizer and dimensionless method and reduction of parameters of electromagnetic governing equations.

在假设了对电磁结晶器数学建模的依据条件下，通过对电磁控制方程组进行参数无量纲化和简化，在柱坐标系中，推导出电磁结晶器内的磁准静态矢量方程的标量形式。

The model Boltzmann equation s, which are derived from the transformations of reduced distribution function and discrete velocity ordinate together, are solved through using an implicit flux-corrected second-order upwind TVD scheme.

模型 Boltzmann方程先后经简化分布函数和离散速度坐标变换后，采用一个隐式通量修正二阶迎风TVD格式差分求解。

During the BPSE process, a high-speed special mode frame is sent, bit error rate is fed back to the sender, as well as signal to noise and BERs for each rate are obtained by looking up the empirical BER/SNR curve. During the SLRA process, the equation of goodput relative to BER and frame length is solved, to obtain the maximized goodput and its related BER and frame length.

SLRA先通过求解有效带宽、BER和包长度的解析方程，然后得到各种速率下的最优有效带宽、及其相应的包长度，从而在理论上优化有效带宽；由于SLRA计算过程非常复杂，我们提出了近似查表的方法来简化优化过程，使得其适用于便携式通信设备。

Based on the simplification of differential equation of driving function and the amendment of control law with error integral, the problems of controller design for a class of position serve system are discussed from the angle of practical use in engineering.

基于对驱动函数微分方程的简化和对控制律的误差积分修正，从工程实用角度讨论一类位置伺服系统控制器的设计问题。

Another part of the thesis is the research work with relation to both DIS and CGF, mainly consisting: After the common DR methodology, DR algorithms and their characteristics are introduced, a new valid DR algorithm based on the idea of simplified dynamic model equation is presented and evaluation result is given. Then the technology of translation delay compensation and smoothing algorithms are recited. The real-time graphic and image technique and the eyepoint position selecting method are used in the visualization implement of CGF system.

第二类研究内容是CGF与DIS共同存在的关键技术研究，主要包括：在介绍DIS系统采用DR技术的重要性以及常规DR算法基础上，提出了一种基于简化动态模型方程思想的DR算法，并对算法进行了评价；介绍了CGF系统的传输延迟补偿与平滑技术；将实时图形与图象技术以及观察点选取方法应用于CGF系统的可视化。

Based on this property, by solving a series ODEs we construct a two-parametric family of helicoidal surfaces under cubic screw motion with prescribed mean curvature or Gauss curvature and solve an open problem left by Beneki.

基于这一点，当螺旋面的平均曲率或Gauss曲率为给定光滑函数时，本文选取伪正交标架，使得两类螺旋面的平均曲率和Gauss曲率的表达式相对简化，通过求解一系列的非线性常微分方程，即可确定一族生成曲线，从而最终确定平均血率或Gauss曲率为给定光滑函数的双参数族螺旋面，并在这一过程中解决了Beneki等人留下的一个公开问题。

To simplifying calculation, the membranee element was used, and the finite element equation for big strain was induced.

为了简化计算采用三角薄膜单元，并推导出相应的大变形有限元矩阵方程。

We presents an accurate F method based on corresponding point adjustment.The method adjusts coresponding points according to the fixedness of projective transformed cross ratio,then calculates F matrix accurately through linear and non-linear methods. When computing intrinsic parameter,A matrix,we simplify the step,and stress on the two important parameters of A.The result will be getten through solving Kruppa equation based on SVD decomposition.In order to compute extrinsic parameters,we use linear method to get initial R and t,then apply non-linear method to accurate them.

提出了基于匹配点调整的F求精方法，先根据摄影交比不见性对手工选择的匹配点进行调整，再用线性、非线性结合的方法求精F矩阵；在计算内部参数A中，进行了一定的简化，把重心放在A中重要的两个参数上，用SVD分解法计算Kruppa方程；在计算外部参数时，首先用线性法求解R、t，然后再用非线性法迭代求精。

In the self - calibration scheme , the thesis emphasizes the accuracy of camera intrinsic and extrinsic parameters . we presents an accurate f method based on corresponding point adjustment . the method adjusts coresponding points according to the fixedness of projective transformed cross ratio , then calculates f matrix accurately through linear and non - linear methods . when computing intrinsic parameter , a matrix , we simplify the step , and stress on the two important parameters of a . the result will be getten through solving kruppa equation based on svd decomposition . in order to compute extrinsic parameters , we use linear method to get initial r and t , then apply non - linear method to accurate them

提出了基于匹配点调整的f求精方法，先根据摄影交比不见性对手工选择的匹配点进行调整，再用线性、非线性结合的方法求精f矩阵；在计算内部参数a中，进行了一定的简化，把重心放在a中重要的两个参数上，用svd分解法计算kruppa方程；在计算外部参数时，首先用线性法求解r、 t ，然后再用非线性法迭代求精。

in order to simplify a process of getting parameters of daubechies biorthonormal wavelet, according to the fourier cosine transform of scale equation of daubechies biorthonormal wavelet, an algorithm is proposed when the daubechies biorthonormal wavelet has even symmetry double scale parameters.

摘 要：为简化daubechies双正交小波因数的求解，以紧支集daubechies正交小波中尺度关系的fourier变换余弦形式为基础，提出1种当双尺度因数为偶对称时，推导daubechies双正交小波对偶尺度方程因数的方法，并给出构造数值实例。

As she looked at Warrington's manly face, and dark, melancholy eyes, she had settled in her mind that he must have been the victim of an unhappy attachment.

每逢看到沃林顿那刚毅的脸，那乌黑、忧郁的眼睛，她便会相信，他一定作过不幸的爱情的受害者。

Maybe they'll disappear into a pothole.

也许他们将在壶穴里消失