查询词典 irrational equation

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。

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……。

The results showed that both of Michaelis-Menten equation and Dagneli equation primely simulated response of photosynthesis rate to light intensity, and their effect was consilient. But the parameters of maximum photosynthesis, initial quantum efficiency and dark respiration by Michaelis-Menten equation was very distinctly bigger than them by Dagneli equation.

结果表明，两种方程均能很好地描述大豆和玉米叶片光合速率对光强的响应特征，两种方程的模拟效果是一致的，但两种方程得到的参数存在极显著差异，用Michaelis-Menten方程模拟得到的表观初始量子效率、表观最大光合速率、表观暗呼吸速率极显著大于用Dagneli方程得到的参数。

Here, we point out that, within the frame of general relativity, the basic astrophysical equations are Einstein equation, Boltzmann equation of the distribution function of real matter in the presence of electromagnetical field in curved spacetime, Maxwell equation and the equation of radiative transfer of Stokes parameter of photons in curved spacetime.

这里，我们指出，在广义相对论框架下，天体物理基本方程为Einstein场方程，弯曲时空中实物质分布函数所满足的含有电磁场的Boltzmann方程，弯曲时空中Maxwell方程组和弯曲时空中光子Stokes参量所满足的辐射转移方程。

You can snipe the second and third union leaders from this position.

您可以鹬第二和第三工会领袖从这一立场出发。

Aiming at the currently shortage of XML streams quality detecting, this paper proposes a new forecasting method of XML streams quality by least squares support vector machines, which is used the method of XML keys' vector matrix as windows, and vector product wavelet transform to multilevel decompose and refactor the XML streams series, that can fulfill real-time checking demand of XML quality, and ensure constraint, consist- ency and integrality. For even more adapting net load, it proposes a control strategy by weight and adaptive adjustment to ensure XML streams quality.

针对当前XML数据流质量检测存在的不足，提出构建XML键的矢量矩阵作为窗口，利用矢量积小波变换多级分解与重构XML数据流，再结合最小二乘支持向量机对XML数据流质量进行预测的一种方法，满足XML数据流质量重构时实时检测的要求，保证XML数据的约束性、一致性与完整性；为了更好的适应网络负载，采取加权与自适应窗口调整等调度策略充分保证XML数据流的质量检测。