查询词典 simultaneous differential equations

The Hankel transformation method has been used to turn the basicdisplacement equations and displacement-stress constitutive equations intoa system of first order non-homogenous ordinary differential equations inwavenumber domain,and by us of the matrix method,the transfer matrix ofthe medium layered is established.

利用Hankel变换，将轴对称静力问题的位移基本方程和位移应力本构方程转化为波数域内非齐次一阶常微分方程组，利用矩阵法，建立了介质层的传递矩阵，导出了层状弹性半空间轴对称静力问题奇异解的一般解析表达式。

At first, the governing differential equations are solved by Fourier transform, then, under consideration of the mixed boundary value condition, a pair of dual integral equations about the vertical vibration are listed which are converted to linear algebra equations by the Jacobi orthogonal polynomial and solved by numerical procedures. Consequently, the dynamic compliance coefficient Cv versus the dimensionless frequency is derived, and the program is compiled.

首先，采用Fourier积分变换解析求解了Biot方程，得到了该动力控制方程在Fourier变换域上的一组通解，然后由混合边值条件建立了地基上基础竖向振动的对偶积分方程，并应用Jacobi正交多项式将其转化为一组线性代数方程组，通过求解得到了不同无量纲频率下基础振动的动力柔度系数Cv，编制了相应的计算程序。

The subject of equations in mathematical physics includes partial differential equations and integral equations arise in physics and engineering.

数学物理方程主要研究物理或工程问题中所涉及的各种偏微分方程和积分方程。

The nonlinear magnetoelastic kinetic equations, the electrodynamics equations and the expressions of Lorentz force of thin current-carrying plate under the action of the coupled field are given. The normal Cauchy form nonlinear differential equations, which include ten basic unknown functions in all, are obtained by means of variable replacement.

该文在给出载流薄板在耦合场作用下的磁弹性非线性运动方程、电动力学方程和洛仑兹力表达式的基础上，通过变量代换将描述载流薄板的磁弹性状态方程整理成含有10个基本未知函数的标准柯西型。

Using the numerical differentiation, the differential equations can be transformed into algebraic equations. Then we can get the numerical solution from the algebraic equations.

但是数值微分对误差非常敏感，因此我们想到用对误差不敏感的数值积分代替数值微分。

The Fourier transfermation about the azimuthal angle and Hankeltransfermation about the radial dirction have been used to turn the basic dis-placement equatioons and constitutive equations under cylindrical coordinatesystem into a system of second order ordinary differential equations in thewavenumber domain,by use of the initial prarameter method to solve differ-ential equations.

利用关于方位角的Fourier变换及关于径向的Hankel变换，将柱坐标系下位移基本方程和本构方程转化为波数域内二阶常微分方程组，利用求解微分方程的初参数法，建立了介质层的传递矩阵，导出了层状弹性半空间在地表作用任意静荷载情形下的解析解。

And then the influence of two of the damage models, the Kachanov and the gradient-dependent constitutive equations, on the well-posed properties of the fundamental equations in continuum damage mechanics is studied according to the characteristic method of the quasi-linear partial differential equations under the case of one dimension elastic damage.

首先从非局部理论出发，推导了应变梯度损伤本构方程；然后利用一阶拟线性偏微分方程组的特征理论，在一维弹性损伤情况下分析了两种不同的本构模型，即Kachanov损伤本构方程与应变梯度损伤本构方程，对连续介质损伤力学基本方程适定性的影响。

The main content of the study includes: the policy variables are classified into two types, which are continuous policy variable and discrete policy variable, and the two variable is analyzed respectively; as to the continuous policy variable, use reasonable weighting to synthesize comprehensive policy indicator to reflect the comprehensiveness of each main policy indicator; undertake regression analysis for the comprehensive policy indicator, economic and stock market variable and get the effect of all kinds of comprehensive policy indictor variables on the economy and stock market; undertake regression analysis for data on the economic indicator and the data on the stock market and get the relationship between the economy and the stock market; use event research method to analyze its effect on the stock market and get some corresponding conclusions; structure the differential or difference equation groups on the interactive relationship among the variable economy, stock market and policy and do the difference operation and constitute simultaneous equation with the original main variables one after another; use quantitative regression method and solve the coefficient of the simultaneous equation to predict the operating tendency.

本研究主要内容包括：将政策变量划分为连续性政策变量和离散政策变量两个类型，并分别进行分析；对于连续性政策变量，采取合理的权重来合成政策综合指标，反映各主要政策指标的综合力度大小；将各政策综合指标与经济、股市变量进行回归分析，获得各类政策综合指标变量对经济、股市影响程度的大小；将经济指标数据与股市数据进行回归分析，获得经济与股市之间关系的大小；采取事件研究方法来分析其对股市的影响程度；构建关于经济、股市与政策各主要变量之间互动关系的微分或差分方程组，进行差分运算，并以此与原来各主要变量组成联立方程；运用计量回归方法，求出联立方程系数用于预测。

The boundary value problem of ordinary differential equations is an important domain in differential equations.

常微分方程的边值问题是微分方程的一个重要研究领域。

Major research work and conclusions are summarized as follows:1 The development of molecular distillation are reviewed in respect of the principle, model research and application; The technical and structure parameters are analyzed with respect to the evaporation rate and separation factor.2 Based on analysis of heat transfer and mass transfer process in WFMD, the discretization forms of bow wave ordinary differential equations and film partial differential equations are obtained with Runge-Kutta method and finite difference method respectively.

主要工作与研究结果如下： 1 综述分子蒸馏技术的应用及其发展现状，从分子蒸馏技术的原理、模型研究及其应用的发展等进行了系统评述；并结合蒸发速率和分离效率这两个评价分子蒸馏效果的重要指标，对刮膜分子蒸馏器工艺参数与结构参数进行了分析与讨论。

I was just taking her hand, to help her out of a car, and I knew it.

我只是握着她的手，扶她下车，但我知道这一切。

China and South Korea have excoriated Japan over its approval of new school books which they say whitewash the atrocities committed during Japanese occupation, and anti-Japanese protests have been held in Chinese cities. The lingering bitterness over Japan's past imperialism still threatens to mar relations between the big East Asian powers

中国和韩国强烈谴责日本通过新的中学历史教科书，他们认为这一教科书掩盖了日本在其占领期间所犯下的残酷暴行，反日抗议活动在中国数座城市发生，历史上日本帝国主义制造的痛楚无法被忘却，这有可能破坏东亚强国间的关系。