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In this thesis, we consider two topics of the skew-symmetric models.

在本论文里，我们考虑两个有关偏斜-对称分布的主题。

Generally speaking, we are quite familiar with the Frenet frame of curves, whose coefficient matrix is skew-symmetric.

通常我们比较熟悉的是曲线的Frenet标架，曲线的Frenet标架关于参数求导得到的系数矩阵是一个斜对称矩阵。

We investigate the generalized skew-symmetric distributions.

我们先推导广义偏斜-对称分布。

As to the parallel frame, its coefficient matrix is still skew-symmetric, yet the elements are all zero except those at the first row and the first column.

而平行标架关于参数求导，得到的系数矩阵也是一个斜对称矩阵，但除了第一行、第一列元素，其他元素均为零。

Robot dynamic model is usually written as Hq+Cq+G=τ, where the matrix C can be properly defined so that H-2C is skew-symmetric. This property greatly facilitates robot controller design.

摘要机器人模型通常写为Hq+Cq+G=τ，其中可适当定义矩阵C使得H-2C是反对称阵，这一性质对机器人控制设计十分有用。

Based on the proposed idea, the author presents three linear algorithms:"Orientation Invariance of Rotational Axis ","Skew-Symmetric Matrix Decomposition ", and"Quaternion Orthogonal Decomposition ".

并在上述思想指导下，提出了旋转轴法向不变、反对称阵分解和四元素正交分解三个精简变量的线性算法，其中QOD算法最具有一般性。

It is then proved that every equation in the hierarchy possesses the Hamiltonian structure if L has a skew-symmetric factorization and the first equation in the hierarchy satisfies some simple condition (K〓=θf〓 and f〓 is a gradient function).

然后在L具有反对称分解L=θJ，及等谱发展方程族中第一个方程满足简单条件（K〓=θf〓，f〓一个梯度函数）的假设下，获得了整个方程族的Hamilton结构。

Othermore, 29 kinds of 3rd-7th order depositional cycle that could be divided into asymmetric upshallowing、 up-deepening and symmetric cycles are obtained from shallow-sea facies Devonian.

此外，通过对相组合、剖面结构纵向上相序变化的研究，浅海相区泥盆系的沉积旋回样式大致可区分不同级别的29种，概括起来包括非对称性向上变浅、加深和对称性三类。

We calculate the scalar and vector self-energy in symmetric andasymmetric nuclear matter with this new decomposition approach of the G matrix.

我们利用G矩阵新的分解方法得到的核子标量自能、矢量自能及核系统的结合能分别采用两种方法提取有效相互作用耦合常数。

We give also a complete description on non-solvable symmetric self-dual Lie algebrasusing the language of double extension.

我们也用双扩张的语言给出了非可解对称自对偶李代数的一个完整刻划。

In contrast to the ubiquitous rising-sun-with-rays military flag of the Japanese, Chinese banners and ensigns feature a range of designs.

与遍地都是的太阳军旗不同，中国人的旗帜和徽章设计得各式各样。

From their small corner of Feng's Guangzhou headquarters -- a jumble of pink leashes, squeezable rubber steaks, and plastic doggy Santas for Fido's stocking -- Soleil's designers come up with at least five new products a month.

从Feng 设在广州总部的产品展示柜台上可以看到，Soleil的设计师每月至少设计出5件新产品。