代数

We present linear codes over finite fields with Mannheim weight and prove that those codes can correct one error taken from a cyclic subgroup of the multiplicative group of finite fields, which provide an algebraic approach in coding modulation.

最后讨论了有限域上的Mannheim线性纠错码，证明了当错误取值于有限域乘群的一个循环子群时，面向多维信号的线性分组码可以纠单个错并为码调制提供了一种代数渐进方法。

In this paper, new classes of linear block codes over finite fields of the algebraicinteger ring of quadratic number fields Qd~(1/2 modulo irreducible elements with norm p or p~2 are presented. These codes can correct one error which takes from the cyclic subgroup of the multiplicative group of the finite fields. The results presented in this paper extend the corresponding results of previous papers.

在处理适用于二维信号的线性分组码时，我们考虑类数为1的有理数域二次扩域Qd~(1/2的代数整数环，利用范数为p或p~2的不可约元构造有限域，给出剩余类域的一组完全陪集代表元系，从而构造出一类有限域上的线性分组码，当错误取值于有限域乘法群的一个循环子群时，所得到的适用于二维信号的线性分组码可以纠单个错，推广了文[14-16]的结果。

By introducing a p-dimensional linear space the parametrized cyclic representation s are constructed.

通过引入一个p维线性空间，建立了此代数的参数化循环表示。

Finally, the change of joint angular velocity of the supporting leg is deduced based on the Lagrange dynamic equation when a foot of the robot collides with the ground.3, Dynamic stability conditions of the robot in stance phase and flight phase are derived based on the D\'Alembert principle.

这种动力学方程由微分方程和代数约束方程组成，其优点是通过稍微修改约束方程和雅克比矩阵，就可以方便地建立各自动力学方程，建模速度快、精度高。

All these results provide some theoretical foundation and justification for the DAE control system design.

这些工作一定程度上为电力系统基于微分代数模型的几何控制设计提供了理论基础。

Based on the proposed method, the strategies for index analysis of discontinuous DAE models are presented.

最后，针对定结构与变结构的非连续微分代数模型给出了相应的指标分析策略。

Therefore, DAE is a common mathematic tool to describe the structure-preserving power system models.

因此，微分代数系统是描述电力系统结构保留模型的一般数学工具。

Davenport's book on the subject.

另外，算术也是初等代数的重要部份之一。

From the point of algebra, ablock decomposition formula for coefficient matrix of discrete Hartley transform isgiven, from which a new fast DHT recursive algorithm is derived.

本文首先从代数角度出发，给出离散Hartley变换系数阵的一种块分解式，由此导出DHT的一种新的快速递归算法。

We give a new proof for the triangular decomposition theorem of affine composition algebras.

我们给出了仿射合成代数的三角分解定理的一个新证明。

So that more consumers can enjoy more delicious quality, technology is even better than wine.

让更多的消费者可以品尝到品质更为鲜美，工艺更为精湛的葡萄酒。

Open it in your favorite text editor .

在你最喜爱的文本编辑器中将它打开。