An exact equation are obtained and the results is analysed.
获得了一项精确的方程序，并且分析了它的结果。
Exact equation which is also called complete differential equation. The general books on differential equations only simply introduce basic solution.
在一般微分方程讲义中，只简单介绍恰当方程的基本解法。
A 2-d electromagnetic model of parameterized eddy current brake system was analyzed by electromagnetic method in ANSYS. Thus an exact equation between speed and braking force was obtained.
通过建立二维电磁场分析模型，对涡流制动系统进行了电磁场数学分析，推导并求解出了制动力和运行速度之间的关系表达式。
And if I want to be super careful, because it's a fairly large temperature range, I can even use the exact form of the van 't Hoff equation.
如果我想非常小心，因为这是个很大的温度范围，甚至可以使用，范特霍夫方程的严格形式。
This paper gives an exact solution for free vibration of a physically nonuniform straight bar with varying section by the use of a class of integrable linear ordinary differential equation.
本文应用可积的一类线性微分方程求出了非均质变截面弹性直杆振动问题的一个精确解，我们应用这一精确解验证了渐近解的精确度。
A class of exact solutions of the Dirac equation are obtained for an electron in the electromagnetic field of a wave guide formed by two pairs of hyperbolic cylinders.
研究了位于由两对双曲柱面构成的波导管电磁场里的单电子的性质，得到了单电子在场中狄拉克方程的新一类精确解；
This method can obtain the exact eigen-modes and frequencies of whole structure. However the method needs to solve a non-linear eigen equation.
这种方法可以获得全结构的精确模态，其代价是要求求解一个非线性特征方程。
Further, through the exact solutions of the classical equation, the classical phase is derived and the general relation between the quantum phases and the classical phases is also achieved.
进一步通过广义振子经典运动方程的精确解，得出了广义振子的经典相位，从而也得到了广义振子量子相位和经典相位的一般关系。
In this paper, the exact solution and approximate solution of the boundary control problem for a class of the heat-conduction equation are given.
给出了热传导方程边界控制问题的精确解和近似解，证明了近似解对精确解的收敛性。
The equation set has exact solutions and obtained the streamline equation.
该方程组有精确解，得到了流线方程。
Thestaircase-like increasing off(s) obeys an exact differential gap equation, which can be solved analytically.
的阶梯式增长服从一个精确的隙距方程，该方程有精确解。
Exact solutions to the resulting equations are constructed via the compatibility of the generalized conditional symmetry and the considered equation.
并且依据广义条件对称和所考虑方程的相容性求得了相应方程的群不变解。
The exact stationary solution of a class of nonlinear dynamic problems subjected to Gaussian white noise has been obtained by solving its corresponding Fokker Planck Kolmogorov equation.
一类受高斯白噪声激励的非线性动力学方程能通过求解对应的F Pk方程得到精确稳态解。
The transonic flow computation is performed by the use of conservative full-potential equation with exact boundary conditions and the efficient iteration scheme in finite difference method AF2.
跨音速计算采用守恒型金位势方程，精确边界条件和AF 2高效有限差分迭代算法。
This paper presented a new exact Solution for the Slow rotation Structure equation of rotating perfect fluid Spheres on neutron stars.
本文给出了理想流体球慢旋转结构方程的新的精确解。
Based on the idea of balancing-act method and the computerized symbolic computation, some exact analytic solutions of the CDGSK equation have been obtained.
利用均衡作用法，借助于计算机符号运算，求出了该方程的精确解析解。
In this paper, we discuss the wormhole model with the spinor field and deduce corresponding wormhole equation, and obtain a exact solution of this equation.
本文探讨具有旋量场的虫洞模型，导出了相应的虫洞方程和给出该方程的一个严格解。
Many of the exact solutions of (3 + 1) dimensional breaking soliton equation are obtained by using a simple transformation relation and solving the ordinary differential equation.
首先通过变换关系和求解简单的常微分方程，得到了(3 +1)维破裂孤子方程丰富的孤立波解和周期波解。
It is shown that for some relatively simple conditions, exact analytical solutions of the non linear consolidation equation can be obtained by using the approach of the transformation of Lie group.
研究表明，对于一些相对简单的边界条件，通过李群变换的方法可以得到非线性固结方程的完整解析解。
The equation is solved by exact partial wave method.
用严格的分波法求解方程并进行计算。
Furthermore, even if the exact characteristic equation can be obtained, we could not compute the roots of the equation in the demanding precision.
进一步，即使可以精确地得到特征方程，我们依然无法在有限精度的限制下去计算方程的根。
In Chapter 6, we study new applications of homogenous balance method and apply the method to WBK equation and obtain many new exact solutions.
第六章研究了齐次平衡法新的应用，把它应用到WBK方程上去得到了许多新的精确解。
In this paper, the exact solution and approximate solution of the boundary control problem for a class of the heat-conduction equation are given.
就一类典型的抛物型问题——热传导方程，研究矩形网格上质量集中有限元方法的有关性质。
The exact synthesis equation of motion in frequency domain and frequency-response functions for structural vibration were obtained according to the Ritz procedure.
然后根据里兹法，得到结构精确综合的频域运动方程与频响函数；
In 2d polar coordinates, the exact solution to the Schrdinger equation was used to calculate the perturbation integral in a parabolic confinement potential.
受限势采用抛物形势，在二维平面极坐标下，用薛定谔方程的精确解析解进行计算。
The submarine underwater motion is the 6d motion multi-stance movement. It requires quite exact description and dynamic simulation research. The key technology is to create submarine motion equation.
潜艇水下运动是六个自由度的多姿态运动，建立空间运动方程数学模型是计算机仿真时对其进行比较准确的描述和对运动状态进行仿真研究的关键。
The exact state equation solution of mechanical electric coupling for a simply supported beam subject to uniform distribution of load is given.
在此基础上，给出了两端简支压电梁机电耦合作用在均布载荷下的精确状态方程解。
The exact analytical equation for the effect AB is worked out by the method path integral.
本文用路径积分方法导出了AB效应的精确解析式。
Due to the nonlinearity of the equation and the complexity of the boundary conditions the exact analytical solution of the equation can not be found.
由于方程的非线性及复杂的边界条件，目前不能获得这一方程的精确解析解。
Due to the nonlinearity of the equation and the complexity of the boundary conditions the exact analytical solution of the equation can not be found.
由于方程的非线性及复杂的边界条件，目前不能获得这一方程的精确解析解。
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