但直到19世纪数学家们才发现隐藏在数学方程解法中的对称性，其中包括郁郁寡欢的法国数学天才艾瓦里斯特·伽罗瓦。
But it was not until the 19th century that mathematicians such as Evariste Galois, an unhappy French genius, discovered symmetries hidden in the solutions to mathematical equations.
1066年，名副其实的征服者William入侵英国，从海峡对岸带来了新的概念，诸如法语，末日裁判书， 伽罗瓦万用箱。
True to his name, William the Conqueror invades England, bringing new concepts from across the channel, like the French language, the Doomsday Book and the duty-free Galois's multipack.
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。
A number of ancient problems concerning Compass and straightedge constructions were finally solved using Galois theory.
今晨，我讲述了《圣典博伽瓦谭》的第三篇中的诗节，是关于婆罗们阶层或神职阶层的荣耀。
This morning I gave class on a verse from the Third Canto of Srimad Bhagavatam about the glories of the brahminical, or priestly, order.
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。
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.
本文论述了伽罗瓦对数学教育的一些见解及其产生的原因，并指出了这些见解在当今对我们仍有借鉴作用。
In this paper, we discuss Galois' mathematics education views and the reason that the views were produced, and point out the action that the views are used for reference.
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。
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.
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。
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.
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。
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。
Long standing questions about compass and straightedge construction were finally settled by Galois theory.
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