条件方程

Firstly, the three-dimension boundary question and its corresponding variation question concerning the point-source electrical field on a 3-D structure are presented. Secondly, the finite element method is used to solve the variational equation. The study area is divided into many tetrahedral elements. Then, we interpolate with a tri-linear function in each element. So, the variational equation is converted into a linear equation system. Finally, taking into account saving of time, we make use of symmetric successive overrelaxation preconditioned conjugate gradient algorithm to solve large linear system, and obtain the potential value of each node, resulting in the calculation of the apparent resistivity values on the ground surface.

首先给出了三维构造中点源电场的边值问题以及相应的变分问题；然后利用有限单元法求解变分问题，采用四面体单元对研究区域进行剖分，在单元中进行三线性函数插值，将变分方程化为线性代数方程组；最后，考虑到节约计算时间，利用对称超松弛预条件共轭梯度迭代算法求解大型线性方程组，得到了各节点的电位值，进而计算出地表的视电阻率。

A integrated equation set for solving plane parallel motion of rigid body was derived, and the conditions of system of forces simplified on the center of mass plane was discussed.

给出了解决刚体平面平行运动问题的一组完整方程，讨论了力系简化在质心平面内的条件。

Furthermore, the paper puts forward a successful trial solution to solve the partial differential equation for that necessary conditions.

公式，提出了求解该一阶条件中的偏微分方程的成功率较高的试探求解法。

Proceeding from the kinetic equation, the occurrence of muscular fibre spontaneous oscillation is explained in a natural way, the period of isotonic spontaneous oscillation and the oscillation curves are consistent with experimental data, and some new theoretical results are presented.

从动力学方程出发，肌纤维自发振动的发生条件得到了自然解释，所给出的振动周期和振动曲线同实验结果相符，并给出了一些新的理论结果。

The catalytic effect of ruthenium on the oxidation decolorizing reaction of chlorophosphonazo-mk by potassium periodate in phosphoric acid medium was investigated.

研究了在磷酸介质中，痕量钌催化高碘酸钾氧化偶氮氯膦mk褪色反应特性，测定了反应级数、反应速率方程和表观活化能，拟定了反应的最佳条件，建立了一个测定痕量钌的催化动力学新方法。

And combining finite element method and periodic boundary conditions,this article has provided the solution process for asymptotic homogenization equation and the predicting effective mechanics properties method in engineering.

本文利用渐进均匀化理论，详细叙述了求解具有周期性细观单元结构的复合材料有效力学性能的方法，并结合有限元理论和周期性边界条件，给出了求解渐进均匀化方程的过程，为实际工程问题提供了预测材料力学性能的方法。

Taking advantage of coincidence degree theory we analyze the existing of periodic solution.

本文的第四章对具有负反馈条件的双时滞微分方程解的振动性进行了研究。

The stability and bifurcation of the equilibrium states of the rod are analysed by using the singularity theory of phase plane.

在两端受力矩单独作用的条件下，杆的平衡微分方程可转换为用欧拉角表述的一阶自治系统，并有可能利用相平面的奇点理论分析弹性细杆平衡状态的稳定性。

To research the water retention performance of lowland heightening farmland protection project in Tingzikou Water Control Pivot, large-scale soil column experiments and one-dimensional saturated-unsaturated flow simulations have been performed.

针对亭子口水利枢纽农田防护工程低地垫高方案的保水性能，在室内大型土柱试验的基础上，建立基于Richards方程的一维饱和-非饱和水流运动数学模型，模拟分析不同防护方案条件下土壤水分的运动过程和保水性能。

Concerning the polarization coupling between Rayleigh particles irradiated by various polarized plane light wave, we use self-consistent method and dyadic Green's function, with the near-field condition of kR《1, and neglecting retardation, to derive analytical expressions for the transverse and longitudinal components of optical binding forces.

针对不同偏振态平面光波诱导下瑞利粒子间极化耦合作用，运用自洽场方程和并矢格林函数，在kR《1的近场条件下，忽略延迟效应，分析推导了横向和纵向光学束缚力公式。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。