查询词典 associated equation

Field data of pedestrian flow was collected in Chinese comprehensive passenger transport terminal—Xizhimen underground station using video recording, and then selected and analyzed by statistic analysis software SPSS. Parameters relation models for pedestrian flow on different terminal facilities were established based on data statistics. The results show that the pedestrian flow-density relation model is quadratic equation in corridor; the flow-space relation model is quadratic equation when space is below a certain value and is logarithmic equation when space is above the value; the speed-density relation model is linear equation. The models on stairs show the similar characteristics, but the eigenvalue is different.

对国内综合交通客运枢纽——北京西直门地铁站行人流数据进行视频采集，采用统计分析软件SPSS对行人流参数数据进行筛选及拟合分析，建立了不同设施的行人流参数关系曲线及函数模型，研究结果表明，水平通道处行人流量与密度呈二次函数关系、流量与空间在某一临界点两侧分别呈二次函数及对数函数关系、速度与密度呈线性关系，楼梯处与之相似但特征点数值存在差异。

Dinger equation is achieved, but also the resistance phase problem in the equation is skillfully solved. With a unitary transformation, the finite-differenced Schr?dinger equation becomes a standard Mathieu equation in p?

通过合适选取系统哈密顿的形式，不仅能够实现介观含源RLC电路的量子化，给出该电路的瞬态薛定谔方程，还可以解决电阻给薛定谔方程的求解带来的困难。

Based on the magnetic-elasticity nonlinear kinetic equations, physical equations, electrical kinetic equations and the expression of Lorentz forces, the magnetic-elasticity kinetic buckling equation of a current-carrying plate applied mechanical load in a magnet field were derived. The equation was transformed into the standard Mathieu equation by using Galerkin method. Thus, the magnetic-elasticity kinetic problem was changed into a problem of solving the Mathieu equation.

在载流薄板的磁弹性非线性运动方程、物理方程、洛仑兹力表达式及电动力学方程的基础上，导出了载流薄板磁弹性动力屈曲方程，并应用Galerkin原理把屈曲方程整理为Mathieu方程的标准形式，将载流矩形薄板在电磁场与机械荷载共同作用下的磁弹性屈曲问题归结为对Mathieu方程的求解问题。

Based on the magneticelasticity nonlinear kinetic equations, physical equations, electrical kinetic equations and the expression of Lorentz forces, the magneticelasticity kinetic buckling equation of a currentcarrying plate applied mechanical load in a magnet field were derived. The equation was transformed into the standard Mathieu equation by using Galerkin method. Thus, the magneticelasticity kinetic problem was changed into a problem of solving the Mathieu equation.

在载流薄板的磁弹性非线性运动方程、物理方程、洛仑兹力表达式及电动力学方程的基础上，导出了载流薄板磁弹性动力屈曲方程，并应用Galerkin原理把屈曲方程整理为Mathieu方程的标准形式，将载流矩形薄板在电磁场与机械荷载共同作用下的磁弹性屈曲问题归结为对Mathieu方程的求解问题。

Differential equation model is classified as ordinary differential equation, partial differential equation and stochastic differential equation.

微分方程模型的形式包括常微分方程，偏微分方程和随机微分方程。

On the basis of the conservation equation of continuous medium and in combination with mechanics of fluid through porous media and the heat transfer theory in porous media, conservation equations in porous media (continuous equation, momentum equation and energy equation ) are derived, When constructing the downhole temperature model, heat transfer in a wellbore is considered as the heat transfer in a vertical tube, the flow in a wellbore considered as sufficiently parallel flow, heat transfer in injection zones considered as heat conduction and convection in porous media, the flow in injection zones considered as flow through porous media, heat transfer in adjacent rocks considered as heat conduction in porous media.

在建立井下温度场模型时，把井筒的传热看作是竖直圆管中传热问题，把井筒的流动看作是充分发展的层流流动；把注入层中的传热看作是多孔介质中导热和对流的传热问题，把注入层中的流动看作是渗流；把围岩中的传热看作是多孔介质中导热问题。

It is shown that two-component Wadati-Konno-Ichikawa equation, i.e. a generalization of the wellknown WKI equation is obtained from the motion of space curves in Euclidean geometry, and it is exactly a system for the graph of the curves when the curve motion is governed by the two-component modified Korteweg-de Vries flow. At the same time, a n-component generalization to the WKI equation is obtained. Also, starting from the motion of curves, mKdV and its symmetry recursion operator is exhibited explicitly; two- and n-component mKdV systems are obtained. It is shown that WKI systems are gauge equivalent to mKdV systems. The two-component WKI equation admits an infinity number of conservation laws and a recursion formula for the conserved densities is given by considering an eigenvalue problem together with introducing an appropriate transformation.

在二维和三维欧氏空间上，我们从空间曲线运动出发，推导出了mKdV方程以及它的用以生成高阶对称的递归算子；推导出了多元mKdV方程以及二元和多元WKI方程，并证明了WKI系统和mKdV系统的规范等价性；尔后，通过考虑特征值问题，并引入一个恰当变换，给出了二元WKI方程的用以计算无穷多守恒密度的递归公式，从而证明了二元WKI方程的守恒可积性；系统地分析了两种mKdV方程的Painleve性质，并分别给出了两种不同形式的二元和n元mKdV方程的共振点出现的规律。

Divide the whole region D into finite units and corresponding link points may be obtained. Constructing the equation of variation calculation about every element leads to the finite number of equations. Further more, algebra equation group for general synthesis are gained by adding these finite number of equations, that is,{T}={P} where is the coefficient matrix of the equation group, or say the temperature rigidity matrix,{T} is the row vector of unknown temperature and {P} is the row vector of the terms on the right side of the equation.

然后将整体区域D划分成有限个单元并得到相应的有限个节点，从而可以得到关于每个单元的变分计算方程，将这有限个方程相加就得到了总体合成的代数方程组，即{T}={P}，其中为方程组的系数矩阵，也称温度刚度矩阵，{T}为未知温度值的列向量，{P}为等式右端项组成的列向量。

In Chapter 2, we study exact solutions of the separated parts of Klein-Gordon field equation on some stationary and axisymmetry black hole backgrounds. We demonstrate that the radial and angular parts of a massive scalar field equation in the Kerr-Newman and Kerr-Sen black hole space-times satisfies the generalized spheroidal wave equation which is, in fact, a confluent Heun equation.

在第二章中我们研究了稳态轴对称黑洞背景几何中Klein-Gordon场方程分离变量部分的精确解，表明了Kerr-Newman黑洞及Kerr-Sen黑洞中有质量复标量场方程的径向部分和角向部分均满足广义椭球波方程，而后者实际上就是合流的Heun方程。

The bubble-point method and tridiagonal matrix method are proposed as solution of MESH equations(Material equation, phase Equilibrium equation, Summation equation, Heat equation), through which equations could be solved quickly and steadily, and the composing mole fraction at the top of tower and Key composition profiles and temperature of every stage are given.

提出采用三对角矩阵法和泡点法(BP，Bubble Point)相结合作为模型求解的解决方案，可快速稳定地求解复杂的MESH方程组，并给出塔顶液相组分组成和各塔板的关键组分分布及温度分布。

Objective To study the effect of chitosan in the prevention of fibrous scar formation in the epidural space after laminectomy.

目的 观察选择性脊神经后根切除术椎板切除后硬膜外几种防瘢痕粘连物质的作用并探讨其机制。

On his way to the lift, he looked back to us or was it me his eyes pointing?

当他要进电梯时，他回头看我们（或者说是我，他的眼光？