转化系数

Then the stability solution of the variable cross-section compression bar, that is discribed by a partial differential equation with variable coefficient is transformed into solving a set of algebraic equations established in the subspace.

首先以均匀梁的低阶纵向振动模態函数构成求解子空间，然后在此子空间中把变截面压桿稳定由变系数偏微分方程描述的求解问题转化为非线性代数方程组的求解，从而简化了计算过程。

The conductivity field and hydraulic field are represented by Karhunen-Loeve expansion and polynomial expansion, respectively. The original stochastic partial differential equation is transformed into a series of deterministic equation at the collocation points.

其渗透系数场和水头场分别被表示为Karhunen-Loeve展开和多项式展开的形式；初始随机偏微分方程被转化为在相应配点上的确定性方程。

The conductivity field and hydraulic field are represented by Karhunen-Loeve expansion and polynomial expansion , respectively. The original stochastic partial differential equation is transformed into aseries of deterministic equation at the collocation points.

其渗透系数场和水头场分别被表示为 Karhunen-Loeve 展开和多项式展开的形式；初始随机偏微分方程被转化为在相应配点上的确定性方程。

Secondly, based on the different structure characteristics and additional conditions, we study several kinds of inverse problems of pseudoparabolic equations. One is a kind of pseudoparabolic inverse problem of identifying a constant coefficient solved by combining the formal solution of the problem and the additional condition properly. The second is the pseudoparabolic inverse problems of identifying an unknown boundary function and an unknown source term solved by using the Riemann function method to get the formal solution of the problem and then using the additional condition to transform the problem into a Volterra integral equation of the second kind. The third is a kind of backward heat flow problem of nonlinear pseudoparabolic equation solved by combining the Riemann function method and the fixed point theory properly.

其次，根据不同模型的结构特点和附加条件，研究了几类伪抛物型方程的反问题：一是利用问题的形式解并结合附加条件，解决了一类伪抛物型方程常数系数的反问题；二是利用Riemann函数方法获得问题的形式解，利用附加条件将问题转化成求解第二类Volterra积分方程问题，解决了一类伪抛物型方程未知边界值的反问题和未知源项的反问题；三是将Riemann函数方法和不动点定理相结合，解决了一类非线性伪抛物型方程的后向热流问题。

Through transforming the vibration isolation system differential combined equations to the state space equation,it is possible to facilitate the solution of vibration isolation coefficient curve of vibration isolation system by using the Matlab/Simulink module.

通过将隔振系统的微分方程组转化为状态空间方程，使用Matlab/Simulink模块可方便求解隔振系统的隔振系数曲线。

To obtain the RCS of dipole-array antennas, the system of electric field integral equations is turned into a linear algebra system whose coefficient matrix is a symmetric block Toeplitz complex matrix by using Calerkin method with pulse basis functions.

为计算线天线阵列的雷达散射截面，用脉冲函数为基函数的Galerkin法将线天线阵列的电场积分方程组转化为一个线性方程组，其系数矩阵是一个对称的二重复Toeplitz矩阵。

On the basis of the advantages of the previous distillation calculation algorithms, by eliminating the non—zero elements to the two sides of the tridiagonal band of elements in the component material balance equations by correlation of the draw rate from the main column to the sidestrippers and the return vapor stream from the sidestrippers to the main column, it changes these equations into a typical form of the tridiagonal matrix, and uses the simultaneous convergent strategy of the main column and the side strippers to speed the algorithm convergent rate.

在吸收前人蒸馏计算算法优点的基础上，通过求解主塔抽出到汽提塔的量和汽提塔返回主塔的蒸汽流之间的关联，以便消除组分物料平衡方程组系数阵中的三对角线两边的非零元素，使它转化为典型的三对角矩阵形式，而且使用主塔和汽提塔同时收敛策略，加快了算法收敛速度。

For overcome nonlinear terms of any degree in the equation, we made a proper transformation according to the structure of the equation at first, make the equations into ordinary differential equation. Then solve the ordinary differential equation exactly, by auxiliary functions method and undetermined the coefficient method and algebraic computer system Mathematica.

为了克服方程中非线性项的任意次幂，我们采用的方法是首先根据方程的特点，做适当的变换，使原问题转化为常微分方程的问题，其次对该常微分方程再进行各类变换，如辅助函数法以及待定系数法……。

Through grey relation estimation matrix, the threat sequencing is transformed into a MADM problem. The algorithm for the weight of each threat criteria is proposed by information entropy to reduce the effect of the extreme numerical value. Applied the grey related projection value, the treat sequencing is carried out from the aspect of vector projection. In addition, the effects of the identification coefficient and the criteria weights on threat sequencing are investigated respectively.

首先通过建立灰色关联判断矩阵将威胁排序转化为多指标决策问题；其次为缩小极端值的影响提出了基于信息熵的威胁指标权重算法；最后从矢量投影角度应用灰色关联投影值进行威胁排序；并分别研究了分辨系数和指标权重对威胁排序的影响。

A method based on linear singularity analysis of image is presented. The improved method, called Directional Beamlet Transform is better than traditional Beamlet transform about directional information of image and has the ability of representing linear-singularity of image. According to the analysis of linear singularity, edge detection is transferred to detecting singularity point in the coefficient matrix of DBT.

针对基于图像像素点分析的边缘提取方法存在无法同时满足高抑噪性、连续性、定位性等问题，本文提出了方向Beamle 变换方法，在定义图像线奇异性的理论基础上，利用DBT 对图像进行线奇异性分析，依据Beamlet 变换具有的线段提取能力，将图像边缘检测问题转化为方向Beamlet 变换系数矩阵中奇异点的检测问题，以降低噪声点对边缘检测结果的影响。

Cynanchum Lingtai apricot production in the average weight 65 grams, the brightly-colored fruit, juicy rich, sweet-sour taste, sweet from the nucleolus, when the late Qing Dynasty famous Shaanxi, Gansu provinces, the Qing imperial court Tongzhi tribute for years.

灵台生产的牛心杏平均单果重65克，果实色泽鲜艳，汁多味浓，甜酸适口，离核仁甜，清末时就驰名陕、甘两省，清同治年间曾为朝廷贡品。

Chenopodium album,Solanum nigrum, and Amaranthus retroflexus were very susceptible to the herbicides. Polygonum persicaria and Abutilon theophrasti were relatively less susceptible to the herbicides, and Lycopersicon esculentum was not susceptible to it. The relationship between reduction rates of weed biomass and PPM values of weed leaves 2,4, and 6 days after treatment was established.

供试的6种杂草对该混剂的敏感性存在显著差异：红心藜Chenopodium album、龙葵Solanum nigrum和反枝苋Amaranthus retroflexus对该混剂最敏感，ED90值分别为47.65、71.67和29.17g/hm2；春蓼Polygonum persicaria和苘麻Abutilon theophrasti敏感，ED90值分别为96.91、114.20g/hm2；而番茄不敏感。