查询词典 solution set of equation

Indeed, it is not clear whether one should interpret the Dirac equation as a quantum mechanical evolution equation, like the Schrodinger equation for single particle.

事实上，人们是否应该将Dirac方程解释为量子力学的进展方程也不是清楚的，像单粒子的Schrodinge方程那样。

Laplace equation; Dirichlet problem;Direct boundary integral equation; Fredholm integral equation of the first kind;Galerkin boundary element method

论文导师祝家麟，论文学位硕士，论文专业计算数学论文单位重庆大学，点击次数 2，论文页数 73页File Size1023k

In chapter 3,we study the Zakharov-Kuznetsov-Modified Equal-Width equation by employing the extended Jacobi elliptic function expansion method and obtain some new solutions of Jacobi elliptic function type of the ZK-MEW equation.;Secondly,using sn-cn method,we study K(m,n,1) equation and obtained some new exact solutions when k=s=3,especially obtained abundand solitary solutions and trigonometric function solutions when m→0 and m→1;In chapter 4,Painleve singular analysis was applied to nonlinear PDE with variable coefficients.

第四章将Painleve奇性分析方法应用到带阻尼项的变系数Burgers方程中，并得到了该类Burgers方程具有Painleve性质的条件，给出了该类Burgers方程的Backlund变换，用所得Backlund变换得到了若干精确孤立波解，包括奇异孤立波解，这些解不等同于行波型孤立波解；用齐次平衡法得到了对数型DBM方程的Backlund变换，并获得了DBM方程的各种孤立波解，包括尖峰孤立波解和奇异尖峰孤立波解。

The temporal and spatial distributions of the plasma temperature during the dissipation process of lightning are calculated theoretically by applying the equation of motion,the equation of continuity and the equation of energy conservation of hydrostatics.

利用流体运动方程、连续性方程和能量守恒方程，对自然闪电回击后的消散过程建立数学模型，计算了等离子体温度随时间和空间的变化规律。

In this paper, a simple method of solving the stress-fluid coupling equation at certain boundary conditions is proposed based on the corresponding relation of the seepage equation of stress-fluid coupling and heat conduction equation and using the structural mechanical module and heat conduction module in the ANSYS software.

本文根据流固耦合方程和热传导方程的对应关系，找出了在一定边界条件下，可用ANSYS中的结构力学模块和热传导模块求解流固耦合方程的简便方法。

A motion reference coordinate system of this quadruped robot and its simplified-structure of the multi-rigid body dynamics model are established. After kinematic and dynamic analysis, the kinematic equation, inverse kinematic equation and Jacobi matrix of the quadruped robot are presented, and the second kind of Lagrange dynamic equation group for simplified-structure of the quadruped robots multi-rigid body system is educed.

建立了该机器人的运动坐标体系，及其等效简化结构的多刚体动力学模型，对上述模型进行了运动学和动力学分析，给出了该机器人的运动学、逆运动学方程和雅可比矩阵，并导出了其简化结构多刚体系统的第二类Lagrange动力学方程组。

Waxman-Smits equation is an evolution of Acrhie equation for shaly sands, and it is a nonlinear equation.

Waxman-Smits方程是阿尔奇方程在泥质砂岩地层中的推广，W-S方程为非线性方程。

More than 80％ of the root system was at this layer. The vertical distribution of root weight and root volume could be expressed by exponential equation, power equation or polynomial equation.

各品种水稻根系重量均随土层深度增加而下降，但主要分布在土壤耕作层（0-20cm），而表层（0-10cm）就占80％以上。

In the last chap-ter,the natural integral equation and natural boundary element method forharmonic problem on exterior elliptic domain are introduced.Then,based onthis,the natural boundary reduction method for a kind of exterior problem ofanisotropic constant coefficients elliptic equation is discussed, the natural inte-gral equation and its solving method on circular boundary and elliptic bound-ary are obtained.These results can be directly applied in coupled methodand DDM for exterior boundary value problem.

最后，讨论了椭圆外区域调和问题的自然积分算子即D-N算子及自然边界元方法，并基于此研究了一类各向异性常系数椭圆型方程外问题的自然边界归化方法，首次得到其在圆周边界及椭圆边界上的自然积分方程及其求解方法，并将这些结果直接应用于外边值问题的耦合算法。

The main contents of this course include: the construction, convergence, compatibility and stability of finite difference scheme of elliptic equation, parabolic equation and hyperbolic equation, the construction method and computation format of finite difference scheme of a system of partial differential equations.

本课程主要内容有：椭圆型方程的有限差分格式的构造，有限差分格式的收敛性，相容性及稳定性、抛物型方程的有限差分格式的构造，有限差分格式的收敛性，相容性及稳定性、双曲型方程的有限差分格式的构造，有限差分格式的收敛性，相容性及稳定性、偏微分方程组的有限差分格式的构造方法及有关的计算格式。

In the chapter 2, the theoretic knowledge about the photosensitive resin and the grinding tools was firstly introduced.

第二章阐述了光固化树脂结合剂磨具的相关理论研究。

Do not use the program's indenting or margin-setting features; these will be added during typesetting.

不要使用缩排，页面边缘设置之类的选项，偶看不大懂。