代数系统

This condition is much easier than that given by the Maximum principle in many cases.

最后，对于系统Lie代数为1或2幂零的情况下一类非线性最优控制问题，给出了解的必要条件。

Computer; mathematical problems; Mizar project; quaternion numbers; algebra structure

计算机；数学问题； Mizar系统；四元数；代数结构

Considering that body forces and surface forces were both non-conservative force, the quasi-Hamilton principle and the quasi-complementary Hamilton principle of non-conservative elasto-dynamics systems were established.

按照广义力和广义位移之间的对应关系，将弹性动力学的基本方程乘上相应的虚量，然后积分，代数相加，并考虑到体积力和面积力均为非保守力，建立了非保守弹性动力学系统的拟Hamilton原理和拟余Hamilton原理。

The implementation of object algebra by relational operator and spatial operator with the support of relational index and spatial index was discussed and the setoriented access methods were studied.

在系统实现方面，我们着重讨论了面向集合的对象存取方式及基于关系索引、空间索引和底层关系操作及空间操作的对象代数的实现机制。

Effect of parameter on periodic and chaotic motion of system was studied using Mathematica.

借助计算机代数语言Mathematica程序研究了参数变化对系统周期运动和混沌运动的影响。

Petre Hajek have proposedBL algebra based on the three continues triangle norms and construct Basic Logicsystems correspondingly.

Hajek便针对这三种连续的三角模所对应的蕴涵算子而提出了BL-代数，并建立了相应的Basic Logic系统。

There were many champions of synthetic geometry , Euclid-style development of projective geometry, in the nineteenth century, Jakob Steiner being a particularly brilliant figure.

该模型的欧几里得的要素，发展的几何连接作为一个不言自明的制度，是在紧张与笛卡尔的减少几何代数通过坐标系统。

This paper adopts new algebra structure of quaternion matrix,to study how to apply a variety of iterative algorithm to quaternion linear systems.

本文通过引入四元数矩阵的新代数结构表示运算，研究如何将多种迭代算法应用于四元数线性系统上。

The Method Solving ramification of algebra iterated system rapidly and exactly is suggested,which is a shortcut to chaos.

提出了快速精确计算代数迭代系统分支值的思想。这将是通向混沌的快速之路。

This dissertation studies some topics in soliton and integrable system,which mainly include as follows:exact solutions especially travelling wave solu-tions and solitary wave solutions,Painlevēproperty,transformation,similarity reduction,symmetries and their Lie algebra structure,generation ofsoliton hierarchy and their zero curvature representation,Hamiltonian struc-ture,Lax or Liouville integrability,nonlinearization of Lax pairs,applications ofWu's method and symbolic computation.

本文研究内容涉及到孤立子和可积系统的多个方面：精确解特别是行波解和孤波解，Painlevē性质、变换、相似约化、对称及其Lie代数结构、孤子族的生成及其零曲率表示，Hamilton结构，Lax和Liouville可积性、Lax组的非线性化以及吴方法和符号计算在上述研究中的应用。

However, as the name（read－only memory）implies, CD disks cannot be written onorchanged in any way.

然而，正如其名字所指出的那样，CD盘不能写，也不能用任何方式改变其内容。

Galvanizes steel pallet is mainly export which suits standard packing of European Union, the North America. galvanizes steel pallet is suitable to heavy rack. Pallet surface can design plate type, corrugated and the gap form, satisfies the different requirements.

镀锌钢托盘多用于出口，替代木托盘，免薰蒸，符合欧盟、北美各国对出口货物包装材料的法令要求；喷涂钢托盘适用于重载上货架之用，托盘表面根据需要制作成平板状、波纹状及间隔形式，满足不同的使用要求。