查询词典 group of transformation

By applying the approach of the transformation of Lie group,the exact analytical solutions of the non-linear consolidation equation is obtained under different initial and boundary conditions. Based on this solution,the differences between that of large and infinite strain consolidation theories are analyzed.

运用变换群的方法求得了某些条件下大应变固结方程的完整解析解答，在此基础上与相同条件下的小应变固结论理做了比较，并通过对实例的计算，分析了不同假设条件下一维固结理论之间的差异。

Lie's theory is used to extract the analytic solutions of nonlinearsystems in this thesis for the first time.The basic form of Lie group is ex-pounded through Lie series and Lie transformation.

本文首次将Lie群理论用于求解非线性系统的解析解，通过引用Lie级数和Lie变换，阐明了Lie群的基本形式。

They showed that the generating transformation of the monodromy group can be preseribed arbitrarily.

他们证明了产生单值群的变换可以任意地预先指定。

Complete transformation of the nitro group to chloropicr in takes place in the reaction.

硝基在反应中完全转变成氯苦。

Module history and module family data were saved in the form of ordered three-dimensional group, and then the extensibility and transformation of module-matter-element were studied.

该方法首先在物元模型的基础上，结合模块自身特点，建立了模块物元与模块族物元，以有序三元组的形式规范化地保存了历史模块和模块族数据，并研究了模块物元的可拓性及其变换。

An analytic solution of kinematic model was obtained via Lie transformation group. It shows that the velocity of particles flow is maximum when x=0. Through locating the maximum particles velocity distributing line and taking the line as the origin line of x coordinates, the modified kinematic model could simulate the eccentric discharging well.

通过Lie变换群得到"运动模型"的解析解，发现x=0时颗粒的垂直速度达到最大值，由此在确定颗粒最大速度分布线的基础上移动坐标使该线上x值均为0，对"运动模型"进行了修正，可以反映壁面对颗粒运动的影响，所得计算结果与实验测定吻合得很好。

Based on the assumptions of semi logarithmic relationship between coefficient of permeability and void ratio as well as the relationship between effective stress and void ratio of soil, the method of Lie Group Transformation is applied to solve the non linear partial differential equation of large strain consolidation of homogeneous saturated clay in semi infinite domain.

基于有效应力与孔隙比以及渗透参数与孔隙比之间的关系的一些假定，采用李群变换求解考虑材料非线性和几何非线性的半无限均质土体大变形固结非线性偏微分方程，得到了一个不考虑自重固结的完全解析解。

In this paper, using the methods of Fourier transformation and moment-space renormalization group et al, we studied the phase transition of several complex Gauss systems, figured out the critical point and critical exponents of the system, simply discussed the critical problem of the system with long rang interactions and the universality of phase transition.

本文利用傅立叶变换和动量空间重整化群变换等方法，研究了一些复杂Gauss系统的相变和临界性质，求解了系统的临界温度和临界指数，简单地探讨了相变的普适性和系统中存在长程相互作用的问题。

Under the frame of Hamiltonian, the propagation of seismic wave is a symplectic group transformation with one parameter and consequently, the numerical calculation methods of the propagation ought to be symplectic method.

在哈密顿表述下，地震波标量方程描述的波场随时间的演化过程为波场在单参数辛群作用下的变换过程。因而在计算地震波场随时间的演化时，为保持系统的辛性质，应采用辛几何算法。

The results of the dissertation were concluded as follows:(1) It is essential to deposit a basic additive on the Mo-based catalysts for the synthesis of CH_3SH. The potassium-doped Mo-based catalysts exhibit the highest activity than that of the catalysts doped with the otherⅠA andⅡA group basic promoters. H_2-TPR and LRS characterizations suggest that the addition of a base leads to the transformation of octahedrally coordinated Mo to tetrahedrally coordinated Mo, thus leads to the split of low temperature reduction peaks. The interaction between the basic components and Mo lead to the formation of B-Mo interface phase, which are closely correlated with the formation of CH_3SH.(2) It has been found that Fe, Co, Ni and Te have evident promoting effects for the K-Mo/SiO_2 catalysts.

主要结果归纳如下：(1)在Mo基催化剂中，必须添加碱才具有可观的合成甲硫醇活性，在IA和IIA族元素中，K是最佳的碱促进剂，当K/Mo摩尔比为2，前驱体为K_2CO_3，采用共浸法制备的K-Mo催化剂活性最高。H_2-TPR和LRS表征显示，碱的加入导致表面八面体钼氧物种向四面体转化，催化剂的低温还原峰发生分裂，碱助剂与钼之间存在强相互作用形成了B-Mo"界面相"，该物种与合成甲硫醇密切相关。

Plunder melds and run with this jewel!

掠夺melds和运行与此宝石！

My dream is to be a crazy growing tree and extend at the edge between the city and the forest.

此刻，也许正是在通往天国的路上，我体验着这白色的晕旋。