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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。

As to cyclic codes over finite chain rings, we study their stucture and develop the Fourier Transform method to finite chain rings. The permutation groups of cyclic codes and their extended codes are investigated using their Mattson-Solomn polynomials.

对于有限链环上的循环码，我们研究了它们的结构，并把傅立叶变换的方法推广到有限链环，用循环码的Mattson-Solomn多项式对循环码及其扩展码的置换群进行了研究。

To predict influence of the rocket acceleration force and vibration on electron cyclotron resonance thruster when it is being launched to space, a finite element model of 10 cm C/C composite material grid was established with finite element analysis software. Some of its dynamic characteristics, vibration response characteristics and models was analyzed.

为了研究电子回旋共振推力器在搭载火箭升空过程中，过载和振动环境对栅极带来的影响，采用有限元分析软件建立了10 cm C/C复合材料栅极的有限元分析模型，计算分析了不同C/C复合材料栅极的力学性能、频率响应和振动模态。

Teacher: If the decimal place is finite, the decimal is called a finite decimal.

教师揭示：小数部分的位数是有限的小数，叫做有限小数。

Finite dement analysis was made for rubber sealing X-ring change section by using finite element theory and ANSYS software.

建立了X形变截面橡胶密封圈有限元模形，比较了X形变截面和X形橡胶密封圈最大综合等效应力情况。

The latter is essentially derived from the geometric realization of Happels triangulated equivalence between stable module category of repetitive algebra and bounded derived category of finite dimensional algebra. In terms of this realization, we deduce that the Lie algebra realized by derived category of a finite dimensional algebra is isomorphic to the Lie algebra realized by stable module category of the corresponding repetitive algebra.

后者本质上是Happel关于重复代数的稳定模范畴和导出范畴的三角等价的一个几何实现及其应用，使用这种几何实现，我们可以证明在重复代数的稳定模范畴上定义的李代数同构于相应的导出范畴上实现的李代数。

This problem can often be reduced to one of finite dimensions by using a key idea the finite determinacy in singularity theory.

研究了等变分歧问题及其开折的稳定性，刘恒兴、张敦穆教授则讨论了等变分歧问题开折的-稳定性。

In this paper, Computed water flow equation with finite difference method and solute transport equations with the Galerkin finite element method.

从国内外有关对地下水脆弱性概念的不同定义入手，通过分析和研究，提出了地下水固有脆弱性和特殊脆弱性的定义。

It combines the merit of the finite element method with that of the finite difference method.

它可以吸收有限元法和有限差分法的一些重要思想与技巧。

I am accused of being overreligious," she said in her quiet, frank manner,"but that does not prevent me thinking the children very cruel who obstinately commit such suicide.""

客人们在卡罗利娜·埃凯家里，举止就文雅一些，因为卡罗利娜的母亲治家很严厉。

Designed by French fashion house Herm è s, this elegant uniform was manufactured in our home, Hong Kong, and was the first without a hat.

由著名品牌 Herm è s 设计，这件高贵的制服是香港本土制造，是我们第一套不配帽子的制服。