研究机械装配中的对称群方法。
The symmetry group approach in mechanical assembling is studied.
整个连续变形形成对称群。
真实分子可能属于的对称群是非常多的。
The symmetry groups to which real molecules may belong are very numerous.
提出椭圆旋转对称群，它是一个单参数阿贝尔群。
The ellipse rotating symmetric group is proposed, which is an Abelian group.
量子群是已知经典群的变形，所有经典群都无法将其作为对称群。
A quantum group is a deformation of a given classical group, and is such that no classical space can have it as a symmetry group.
广义条件对称；精确解；非线性反应扩散方程；对称群。
The generalized conditional symmetry; Exact solutions; The nonlinear reaction diffusion equations; symmetry group.
几周后，当迪科尔回归马刺队时，Mann出资以他的名字给另一个对称群命名。
A few weeks later, Mann paid for a symmetry group to be named after Jermaine Defoe when the player rejoined Spurs.
主要研究了热方程与波方程的非古典势对称群生成元及相应的群不变解。
Some nonclassical potential symmetry generators and group-invariant of heat equation and wave equation were determined.
对称群特征标是有力的数学工具，研究并提出其简单计算方法是很有意义的。
Characters of symmetry groups is a powerful maths instrument, it is very significative to study and bring forward its simple computation method.
涵盖的主题包括群、向量空间、线性转换、对称群、双线性结构、线性群等。
The subjects to be covered include groups, vector Spaces, linear transformations, symmetry groups, bilinear forms, and linear groups.
进一步的理论分析表明，只有存在一个幺正变换对称群时，才有一个守恒定律。
Further theoretical analysis indicates that there is a conversation law only when unitary transformation symmetry group exist.
通过研究特殊四阶幻方的变换，结合对称群中的置换元素相互作用生成的轮换关系，给出了192阶和384阶变换群。
We will manifest the existence of the transformation groups of order 192 and 384 by studying the transformations and rotation relations.
进而，从对称的观点说明婚姻形式从简单到复杂的演化过程，代数上对应于对称群阶数的增加，几何上则对应于对称性的加强。
Furthermore, it illustrates when the form of marriage changes from simplicity to complexity, the group has better symmetry on geometry, the order of the group is h...
运用对称群知识进行空间推理，产生了关于物体之间的可能关联位置集合的群论结构，得到两个物体能否装配的必要条件，并举例说明其应用。
Making use of the concept of symmetry group, spatial reasoning is implemented and the construction in group theory for sets of possible relative locations among bodies can be developed.
利用电子计算机，通过计算的方法，获得了对称群s 6共有1455个子群，且每个子群给出了一组生成元素，同时给出了计算的流程图及方法步骤。
By using electric computer, via computation method, the result that symmetric groups S6 have 1455 subgroups is found. The generators of each subgroups are given.
方法分析双曲对称群的特点，改造欧式平面上构造经典分形的IFS迭代函数系，利用这种迭代函数系与双曲平面对称变换构造出组合IFS，通过随机挑选组合IFS中的仿射变换，构造双曲排列的分形集。
We recall the characteristics of the groups with hyperbolic symmetry and improve the IFS iterated function systems which are used to construct the classical fractal sets in the Euclidian plane.
扫描并绘制吉萨金字塔群地图的科学家们称，他们发现吉萨大金字塔并不完全对称。
Scientists scanning and mapping the Giza pyramids say they've discovered that the Great Pyramid of Giza is not exactly even.
与星系群其它星系之间相互作用的引力潮可能导致了NGC 3190的旋臂不对称地环绕中心，而星系盘也出现了扭曲。
Gravitational tidal interactions with other members of its group have likely caused the spiral arms of NGC 3190 to appear asymmetric around the center, while the galactic disk also appears warped.
正如每个整数都可用一些质数的积表示，任一对象的对称都可由所谓简单群的基本构件集合构造出来。
Much as every integer can be broken down into a product of prime Numbers, the symmetries of any object can be constructed from a collection of basic building blocks known as simple groups.
五族非平凡群具有复杂性和对称性的特例，也更加难于预测。其中复杂部分的细节问题已经困扰了人们近120年。
The five non-simple groups—dubbed“exceptional” in their complexity and symmetry—are harder to envisage and, for almost 120 years, the details of the mostintricate of these have lain beyond reach.
1965年一个新的简单群(它有175560种对称)被发现，对它无法做任何标准的分类。
In 1965 a new simple group (with 175,560 symmetries) was discovered which did not fit into any of the standard families.
1965年一个新的简单群(它有175560种对称)被发现，对它无法做任何标准的分类。
In 1965 a new simple group (with 175, 560 symmetries) was discovered which did not fit into any of the standard families.
主要考虑非线性波方程组的一些简单对称及其构成的李代数，并利用所得对称给出该方程组的一些单参数变换群。
In this paper, the symmetries and Lie algebra of a coupled nonlinear wave equation were discussed. One-parameter transformation groups of this equation were obtained by using the symmetries.
本文着重分析了可能出现的平移赝对称形式，并以低级晶系所属的74个空间群为例导出了赝对称形式。
The present paper discussed some possible translational types in detail, and derived the elements of the pseudo-symmetry for the low symmetry crystal systems (74 space groups).
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。
Exact solutions to the resulting equations are constructed via the compatibility of the generalized conditional symmetry and the considered equation.
用动力系统的方法自动生成具有模群对称的图形。
Symmetric patterns with the extended modular group are generated by dynamical systems.
首先根据有限交换群上对称双特征标的概念，给出着色李超代数的定义，并介绍关于着色李超代数的一些基本概念与基础知识。
First, we give the definition of Lie color superalgebras using the symmetric bicharacter on a finite commutative group, and also we introduce some fundamental notions about Lie color superalgebras.
鞋帮处的泡沫群、不对称背线和阿基里斯凹槽用于增强缓冲、支撑，提供全天的舒适感。
Anatomically-placed foam pods, an asymmetrical topline and a pronounced Achilles notch for enhanced cushioning, support and all-day comfort.
通过计算全测地子流形的基本群，确定了紧正规黎曼对称空间的极大的极大秩全测地子流形的整体分类。
In this paper, the authors give the globally classfication of the maximal totally geodesic submanifolds with maximal rank of normal Riemannian symmetric Spaces by computing the fundamental group.
讨论了李超代数上的左超对称结构与其上的1维上同调群的关系。
It discusses the relationship between left-supersymmetric structures on Lie superalgebra and its 1 th cohomology group.
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