查询词典 algebraic form

For implementing the encryption/decryption and information hiding for digital multimedia, and aiming to generate enough large cipher key space, the accurate period of high dimension random matrix scrambling transformation is studied with the help of number theory and algebraic theory.

为了适合数字多媒体特性，实施多媒体加密与信息隐藏，生成充分大的密钥空间，使用了数论、近世代数、算法分析等工具，对高维随机矩阵置乱变换的精确周期进行了研究。

Main work follows:(1) In the first part of this paper, a historical development of the number theory before Gauss is reviewed.Based on the systematic analysis of Gauss"s work in science and mathematics, inquiry into the mathematical background that Disquisitiones Arithmeticae appeals and Gauss"s congruent theory;(2) The development process of Fermat"s little theorem and its important function in the compositeness test is elaborated through original literature.we think that the first three section of Disquisitiones Arithmeticae is a summary and development for ancestors" work about Fermat"s little theorem,show that Fermat"s little theorem played an important role in the elementary number theory;(3) With the two main sources of the quadratic reciprocity law, investigating Fermat,Euler,Lagrange,Legendre, until the related work of Gauss,the way to realize the laws huge push to the development of algebraic number theory in 19 centuries.

本文主要做了以下工作：(1)首先回顾了高斯之前的数论研究状况，在系统分析高斯的科学与数学成就的基础上，探讨了《算术研究》出现的数学背景和高斯的同余理论；(2)通过对原始文献的系统解读，深入分析了费马小定理发现发展的历程以及在素性检验中的重要作用，指出《算术研究》前三节是高斯在总结并发展了前人对该定理研究的基础上形成的，并揭示了费马小定理在初等数论定理证明中的核心地位；(3)以二次互反律的两个主要来源为线索，详细考察了费马，欧拉，拉格朗目，勒让德，直到高斯的相关工作，揭示了该定律对十九世纪数论发展的巨大推动作用。

Buildings and Classical Groups provides essential background material for specialists in several fields, particularly mathematicians interested in automorphic forms, representation theory, p-adic groups, number theory, algebraic groups, and Lie theory.

建筑物和古典组在多个领域提供必要的背景材料的专家，尤其是数学家在自守形式，表象理论，p进组，数论，代数群感兴趣，李theor

In the last, we give a new upper bound of the algebraic connectivity about the dominate number.

最后给出了图的代数连通度关于独立数的一个新的上界。

Apparently, this formulation is also applicable to the algebraic structure whose number of generators is more than three.

对于哈密顿量生成元多于三个的量子系统，也可以用不变量理论精确求解并研究几何相因子和相关问题。

The computation of the square root of a huge algebraic number is the last stage of the N7FS.

代数平方根的计算是数域筛法的一个必要环节。

Unlike the canonical extension,the number of algebraic completion of a poset may be more.

一个偏序集的代数完备可能有多个，可是，当偏序集是并半格时，代数完备在序同构意义下却是唯一的。

The algebraic number more or the transcendental number ?

代数数多还是超越数多？

A line-split solution assisted by edge-constrained TIN and a organization method assisted by algebraic characters of winding number are presented for fast construction of vector buffer from buffer curve.

13，提出从缓冲曲线得到缓冲区的边约束三角网辅助切割方法和利用环绕系数的代数特征辅助重组的方法。

The harmful effect on the motion edge by global smoothness constraint in Horn algorithm is weakened by algebraic operation.

通过代数运算减轻了 horn 算法中全局约束对运动边界的影响。

Listen,point and check your answers.

听，指出并且检查你的答案。

Warming needle is one of effective treatment methods for knee arthralgia aggravated by cold,and it is simple,safety,so it should be developed in clinical acupuncture and moxibustion extensively.

但以本院科针灸门诊在2005年1月—2006年6月期间共收治膝痛患者100余例，经过临床的诊断后，其中施以温针治疗的48例，疗效显著，报道如下。1临床资料本组病例48