简化

By the analysis of dive and horizontal plane nonlinear model, the catastrophe model on de dive plane is deduced, and catastrophe stability is analysized. In the horizontal plane, simplified equation is gained by center manifold theory, then draws the conclusion that the stability of limit circle arises from critical point is relate to small difference of move point and critical point.

通过对潜艇垂直面和水平面非线性运动模型进行分析，导出垂直面运动的突变控制模型，并进行了突变稳定性分析；在水平面运动的非线性分析中，通过中心流形定理简化方程，得出临界点处极限环的稳定性与微差占的符号有关的结论，这样在无法或很难得到李亚普诺夫函数的情况下，可以通过这种方法判别临界点的稳定性。

In order to realize precise compression of scattered data and predigest the establishing process of geometry topology relation, scattered data is converted into scan line data, the point cloud is disposed by the method of direct slicing, the algorithm of intersection between line and surface based on a pair of the least distance relation points and the algorithm of track based on eight directions coding of the section contour data are carried out and the method feasibility is proved by the example.

为了实现数据的精确压缩，简化点与点之间拓扑结构的建立，把散乱数据转化为扫描线数据，对点云数据进行了直接分层处理，采用了基于最小距离关联点对的线面截交算法和截面轮廓数据的八方向编码追踪算法，并用实例验证了方法的可行性。

The heat generation curves of seven rubber materials used in tires with the changes of temperature have been obtained by using Dynamic Mechanics Analysis technique on NETZSCH DMA242 instrument, knowing that the heat generation of every other rubber materials except inner liner rubber changes lightly alone with the temperature within 10℃～80℃. According to the Fourier law, the heat transfer coefficients of tire rubber are measured by stable method on self-made experiment instrument. The coefficients changes lineally within 20℃～80℃ and the relation formulas λ=λ〓+bt are given out attached with λ〓 and b. The specific heat of tire rubber are measured on Differential Scanning Calorimeter NETZSCH DSC204 and the relations with temperature are linear and the formula is c=c〓+bT, where c〓 and b gained from experiment result data are presented in the paper. The heat convection coefficients on the surface of rolling tire are measured according to the principle of heat-mass transfer analogy principle after simplifying rolling tire into rotating disk with straight movement on wind channel. The relation with rotation speed of disk is linear as h=5. 399+0.0258n and the relation with straight line speed of tire is linear too, h=

论文采用动态力学分析技术，使用NETZSCH DMA 242型实验仪，获得了轮胎用七种胶料的生热率随温度变化曲线，确知除内衬层胶以外，其它各种胶料在一般胎温范围内（10℃～80℃）的生热率随温度变化不大；轮胎胶料的导热系数根据傅立叶定律的基本原理，采用稳态法在自行搭建的实验台上进行测试，结果表明，材料的导热系数在20℃～80℃的温度范围内随温度呈线性变化，论文给出了各种材料导热系数的线性变化的关系式λ=λ〓+bt及其λ〓和b的值；轮胎胶料的比热运用差式扫描量热原理，在NETZSCH DSC204型DSC实验仪上进行测试，结果表明，胶料的比热随温度的变化呈线性变化，其关系可用c=c〓+bT表示，文中给出了根据实验数据拟合的c〓、b的值；对轮胎表面的对流换热系数的测定，本文先将滚动的轮胎简化为有直线运动的旋转圆盘，而后采用萘升华热质比拟技术，在风洞中测量了滚动轮胎表面的对流换热系数，结果表明，圆盘表面对流换热系数与转速呈线性关系，即h=5.399+0.0258n，轮胎表面对流换热系数与其直线运动的速度呈线性关系，即h=

Linear algebra of matrix inversion, the use of this algorithm can be simplified matrix operation.

详细说明：线性代数中的矩阵求逆的问题，使用此算法可以简化矩阵的操作。

Electric fields and potentials at various points in the media were calculated using the linear current density.

其他的方法是在简化模型基础上，利用电路理论求解，可以近似

Using this method, the controller design for performance and robustness can be designed separately, which has the potential to overcome the conflict between performance and robustness in the traditional feedback framework. Third, to make the vehicle meet the performance index in full flight envelop, a H∞ gain-scheduled controller based on Linear Varying Parameter system are designed. A LPV plant with a linear fractional dependent variable can be represented by upper LFT (Linear Fractional Transformation) interconnection.

通过把非线性系统简化为了线性变参数系统，再有通过线性分式变换将LPV系统转化为一个线性定常系统和不确定性组成的LFT互联形式，使之转换成为一个经典鲁棒控制问题，然后通过求解一组线性矩阵不等式得到变增益H_∞控制器。

In addition, the numerical linear independence theory is further discussed and the computation of the degree of linear independence is simplified.

文中进一步讨论了数值线性独立理论，并简化了新方法中线性独立度的计算。

First the left side of the equation is turned into a linear operator.

首先通过积分变换，将方程的左端项简化成线性算子。

Simplifying is basis of analysis and design of linear digital control System.

在线性离散控制系统分析与设计中，都需要对离散系统进行简化。

VirtualDub is a video capture/processing utility for 32-bit Windows platforms and is streamlined for fast linear operations over video.

VirtualDub是视频捕获/处理工具为 32位Windows平台，是为快速的线性简化了操作视频。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。