It seems that dynamics of symmetric gait of the robot appeared to be a limit cycle in the phase space.
分析了机器人行走过程中动能、势能的分布、变化过程以及相互转化关系。
And we show that if such a immersion is also semi-parallel, it must be totally geodesic. Moreover the same results hold for semi-symmetric submanifolds in a nontrivial complex-space-form.
我们证明了如果它还是半平行的，则它必是全测地浸入，而且这一结果对于复射影空间和复双曲空间中的半对称浸入也成立。
This paper attempts to find a lower-order state space symmetric model whose model reduction cost differs from the optimal model reduction cost by a prescribed precision.
该文试图寻找一个低阶隐定连续线对称性时不变系统，其与给定的高阶隐定连续线对称性时不变系统的L2 -范数误差可与最优误差值充分接近。
According to characters of pairing function, a kind of symmetric encryptionalgorithm based on pairing function is proposed. This algorithm encrypts data byone-time one-key and multiple encryption, its key space is big to enough and defendseffectively ciphertext-only attack of network's illicit users.
5基于配对函数提出了一种对称加密算法，该算法采用了一次一密、多重算法对数据进行加密，****空间足够大，有效地防止了网络非法用户的唯明文攻击。
According to characters of pairing function, a kind of symmetric encryptionalgorithm based on pairing function is proposed. This algorithm encrypts data byone-time one-key and multiple encryption, its key space is big to enough and defendseffectively ciphertext-only attack of networks illicit users.
5基于配对函数提出了一种对称加密算法，该算法采用了一次一密、多重算法对数据进行加密，密钥空间足够大，有效地防止了网络非法用户的唯明文攻击。
The Hawking effect in a general spherically symmetric non stationary space time can be considered as a compensate effect of the time scale transformation.
一般球对称动态时空中的Hawking效应可看作时间尺度变换下的补偿效应。
The robust stability bounds obtained are not necessarily symmetric with respect to the origin in the parameter space, and can significantly enlarge the stability region for the uncertain parameters.
准则给出的扰动界关于参数空间的原点可以是非对称的，充分利用了不确定性的结构特点，扩大了稳定参数域。
In the first part we consider the convergence and stability of finite difference scheme for Landau-Lifshitz equation in one dimensions space and 2d radial symmetric Landau-Lifshitz equation.
在第一部分，我们研究一维Landau-Lifshitz方程非齐次边值问题和二维柱对称Landau-Lifshitz方程Neumann边值问题的有限差分格式。
Let Mn be the linear space of all n × n matrices over F, and let Sn be its subspace consisting of all symmetric matrices.
Mn记F上所有n阶矩阵构成的线性空间，Sn记F上所有n阶对称矩阵构成的线性空间。
An integral inequality for pseudo-umbilical space-like submanifolds in locally symmetric pseudo-Riemannian manifolds is presented, and the result from locally symmetric spaces is extended to pseudo-Riemannian manifolds.
给出了局部对称伪黎曼流形中伪脐类空子流形的一个积分不等式，将局部对称黎曼流形的相应结果推广到伪黎曼流形。
In this paper, the inertial theorem of real symmetric matrix has been proved by three methods in three aspects: the relationship between real symmetric matrix and real quadratic form, the relationship between real symmetric matrix and symmetric bilinear function of real linear space.
从实对称矩阵与实二次型的联系、实对称矩阵与实线性空间的对称双线性函数的联系以及将实对称矩阵作为研究主体这三个角度，介绍实对称矩阵的惯性定理的三种证明，以期加深对实对称矩阵的惯性定理的理解。
In this thesis we offer detailed proof of main theorem on tori which take symmetric space as the main tool.
用对称空间的有关知识给出了极大子环群定理的详细证明。
By the restriction of geometry optics and space conjugate symmetric relation between focused image surface and object, the FIS is changed into trim size, so the aim to measure three-dimensional is turned into reality.
利用聚焦像表面与物体间的几何光学的约束以及它们之间的空间共轭对称关系，将该三维表面变换到实际三维尺寸，以达到三维测量的目的。
Utilization symmetric bilinear function gave a good few sufficient conditions for transformation of Euclidean space to be linear.
利用对称双线性函数给出了向量空间的变换为线性变换的一系列充分条件，进而导出了欧氏空间的变换为正交变换、对称变换、反对称变换、共轭变换的一系列判别条件。
Generalizing a single involutive automorphism to a finite Abelian group of automorphisms of G, we obtain a homogeneous space called generalized symmetric space and some of its properties.
本文把李群的单个对合自同构推广为由李群G的一些自同构组成的有限可换群，从而决定了一个广义对称空间，并讨论了它的某些性质。
The author describes those additive mappings from a second symmetric product space to another, over a? eld of characteristic not 2 or 3, which preserve decomposable elements of the form λ u · u where u is a vector and λ is a scalar.
刻划了特征不为2及3的域上所有从一个第二对称积空间到另一个的保形如λu·u（u是向量且λ是纯量）的可分解元素的加法映射。
The antisymmetric space structure of the neutron pair participated in the process is as the important as symmetric one.
中子对空间反对称的结构与对称性的结构对截面的贡献处于同等重要的地位。
Further, the shakedown domains in 3-dimensional loading space are obtained through investigating the axi-symmetric structures subjected to the combination of three kinds of loads, constant and pulsative internal pressure, and pulsative temperature fields.
进一步对含缺陷轴对称结构在恒定压力、脉动压力、脉动温度的共同作用进行了安定分析，得到了三维载荷空间的安定域。
This paper characterizes the minimal ideals of finite dimensional quadratic Lie algebras over the complex field and gives an optimistic lower bound for the dimension of the space of invariant symmetric bilinear forms on a quadratic Lie algebra by means of the number of linearly independent minimal ideals.
刻划了复数域上有限维二次李代数的极小理想，并用线性无关极小理论的个数给出了这类李代数上对称不变双线性型所成空间维数的一个最好下界刻划。
The coupled seismic responses of the symmetric large-span prestressed concrete grillage girder space frame structure may be neglected;
对称大跨预应力井式梁空间框架结构，可以不考虑耦合地震反应；