英语释义

• French mathematician who described the conditions for solving polynomial equations; was killed in a duel at the age of 21 (1811-1832)

片语

galois coveringgalois覆盖

variste Galois埃瓦里斯特·伽罗瓦

galois ringgalois环

Evarist Galois伽罗瓦

Galois RingsGalois环

galois field[数] 伽罗瓦域

Galois Lattices伽罗瓦格

field Galois伽罗场

galois algebra伽罗瓦代数

Galois环Galois Rings

英汉例句

• The main means used in the paper are group theory, Galois field, module algebra and linear algebra.

  文中涉及的主要理论有群论，伽罗华域，模代数和线性代数。

• Long standing questions about compass and straightedge construction were finally settled by Galois theory.

  长期存在的问题，指南针和直尺建设的最后解决伽罗瓦理论。

• Modular inversion is a part of the kernel for computations in the Galois field GF (p) used by many public key cryptosystems.

  有限域上的模逆运算是许多公钥密码系统使用的算法中的核心域运算之一。

• Firstly, the paper analyzes the coding and encoding principle of rs code, gets Galois field and generating polynomial using the MATLAB software, obtains the rs (204188) encoding, too.

  先分析了RS码的编解码原理，通过MATLAB软件产生了域元素及生成多项式，还获取了RS(204,188)的编码。

• And once Galois had started to work on it, had he made any false starts, gone down any dead ends?

  一旦伽罗瓦开始研究，他有没有犯过错误，最终走进了死胡同？

• According to algebraic property that a direct sum of Galois fields is isomorphic to a finite ring, the linear block code for multiplexing systems is proposed.

  依据有限域直和与有限环同构的代数性质，对多路复用系统构造线性分组码。

• The group which is founded by Galois and Abel and the theory which is proposed by Klein provide the tool from the second stage to the third stage of the geometry.

  而由伽罗瓦和阿贝尔创立的群的结构并由克莱因提出的几何变换群理论为几何学从第二阶段到第三阶段的转变提供了依据。

• Based on Galois theory of definite field, using the square prime sequence, the code function of basic prime code is modified and extended.

  在伽罗华有限域理论的基础上，用素域上的二次素数序列对素数码的码函数进行改进。

• I was not able to bring my un-ease into focus, to get hold of it, find words for it, until I had finished their book on Galois and the Theory of Groups.

  在读他们关于伽罗瓦及阶群理论之前，我无法理解自己的这种不满足，既无法掌握也无以言表。

• What had led Galois to invent this theory?

  是什么导致伽罗瓦发明这条理论？

• On the dialectic point of view, the influences of Cauchy's systematical study on the theory of permutation to understanding Galois theory to mathematicians in France are appraised.

  从辩证的角度，评价了柯西系统的置换理论研究对法国数学家在深刻理解伽罗瓦数学工作过程中所产生的正、反两方面的影响。

• Apart from all this, the university will offer a course of 「Innovative Qualities, 」 for which President Zhu Qingshi will in person lecture on 「How Did Galois Invent Group Theory.」

  此外，学校还将开设「创新素质课程」，校长朱清时院士会亲自讲授「伽罗华如何发明群论」。