查询词典 Galois theory

algebra was developed in the 19th century, initially focusing on what is now called Galois theory , and on constructibility issues.

抽象代数是在19世纪，最初把重点放在什么是现在被称为伽罗瓦理论，以及关于constructibility问题。

The other prerequisities are Galois theory graduate algebra course should provide sufficient preparation.

另一个必备条件是要熟悉Galois理论和环论。总之，研究生一年级的代数课程内容是足够用的。

According to the Galois extension theory of the number field,the discriminant of the field and the integral basis theory,the necessary and sufficient condition is attained which is m≡n≡1(mod4),where m and n are two different rational integers without square factors.

四次域是重要的Galois数域之一，该文对四次域Q进行了讨论；利用Galois扩张、域的判别式及整基等一些理论，得出了其具有正规整基的充要条件为m≡n≡1(mod4)(其中m，n是2个不同的无平方因子有理整数)。

This thesis is composed of following parts: the fundamental theory of the modern cryptology is briefly researched, in which the mathematic model of cryptology, data encrypt principle and Galois field theory related with elliptic curve crypto is discussed.

研究了现代密码学相关的基本理论，介绍了密码系统的数学模型、数据加密原理和与椭圆曲线加密密切相关的有限域理论； 2。

Firstly, the research studies the coding rule of the PDF417 barcode and designs related computer code algorithm, with making it programmed, and completes the coding part of the system software. Next, the coding and decoding principle of Reed-Solomon error-correcting code is briefly introduced. According to thecoding and decoding principle in galois field GF(929), to analyze and study its practical application with emphasis in this topic. Then, the PDF417 barcode decoding process is analyzed and studied detailed according to the barcode coding principle, with the corresponding realization method designed, improving the design in theory aspect by using material example, at the same time programming the design method to complete the decoding part of the system. Finally, validated the system program in the practical application of image information aspect, by using the nonrepeatability and the randomicity characteristic of Julia mark shape artwork.

本课题首先研究PDF417条码的编码规则并设计相关的计算机编码算法使其程序化，完成系统软件的编码部分；其次，简要介绍Reed—Solomon错误控制码的编码与译码原理，在伽罗瓦域GF(929)内根据其编译码的原理重点分析与研究其在本课题中的实际应用；然后根据条码的编码原则对PDF417条码的译码过程进行详细的分析与研究，并设计出相应的实现方法，利用具体实例对设计方法进行理论方面的实践同时将设计方法程序化完成系统软件的译码部分；最后利用Julia集分形图形的不可重复性和随机性的特点对系统软件在图像信息方面的实际应用进行了验证。

Starting from the configuration of the optical prime code, a kind of key signature code for the optical code-division multiple access system, based on the linear congruence theory in the finite Galois field, the correlation properties of the basic prime code, the extended prime code and the modified prime code are mathematically analyzed, the distribution of cross-correlation values is given and the overlap area of "1"s in the case of periodically circularly shifting is indicated.

摘 要：围绕OCDMA系统的重要地址码类型--光素数地址码的结构模型，根据有限Galois域上的线性全等理论，系统分析了基本素数码、扩展素数码、修正素数码的互相关特性，指出码字中"1"位的重叠区域。

We know that the solutions of quadratic, cubic and quartic can be expressed by radicals. As to the solution of the quintic which has became an issue for past two or three hundred years, it was not solved until 1832 a great young Mathematician of French named Galois who recommended group theory that proved a polynomial of degree 5 and over 5 can't be solvable by radicals.

中文摘要我们知道二次、三次及四次的方程式都可以用根式表示，至於五次方程式的解迟迟无法解决，这个问题持续了两三百年，直到1832年，一位法国青年Galois在其决斗前夕，在他的遗书中，这位伟大的青年数学家引进了群的理论，证明了：五次及五次以上的方程式，不可能有公式解。

A number of ancient problems concerning Compass and straightedge constructions were finally solved using Galois theory .

从目前的罗盘和直尺古代建筑的一些问题终于解决了使用伽罗瓦理论。

The aim of this note is to develop the theory of corings and Galois theory for weak Hopf algebras, then we get some corresponding results about weak Hopf algebras.

弱Hopf模可以看成是一个上环上的余模，这就意味着Galois上环的一般理论能够运用于弱Hopf代数。

It includes the basic structural theory of groups; groups'actions on sets and the applications of these actions; the basic structures of rings; the properties of uniquely factorized domains; the Chinese Remainder; the extensions of fields; finite fields with applications; the Galois theory with applications.

主要内容包括群的基本结构理论、群在集合上的作用及其应用、环的基本结构和因子分解理论、中国剩余定理、域的扩张理论、有限域及其应用、Galois 理论及其应用。

Do you know, i need you to come back

你知道吗，我需要你回来

Yang yinshu、Wang xiangsheng、Li decang,The first discovery of haemaphysalis conicinna.

1〕 杨银书，王祥生，李德昌。安徽省首次发现嗜群血蜱。