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Owing to the importance of Disquisitiones Arithmeticae in histoiy of number theory and the core position of the congruent theory in elementary number theory, this paper is to focus on the following two topics: the origin and development of Fermats little theorem and the quadratic reciprocity law which was hailed as golden by Gauss.

鉴于《算术研究》在数论发展史上的重要性以及同余理论在初等数论中的核心地位,本文重点研究费马小定理和被高斯誉为"黄金定律"的二次互反律的起源和发展。

When propagating light\|ray passes through two fixed points in the gradient index mediums and a cuspidal variable\|point (at this point the trace equation of propagating light\|ray is non\|differentiable) at the borderline of two different GRIN mediums, the mathematical relationship, which the trace equation of propagating light\|ray and borderline equation of two different GRIN mediums should satisfy, is derived by the Fermat's principle and calculus of variation.

当光线通过梯度折射率介质中两个固定点和两个GRIN介质界线上的可动尖点(光线轨迹方程的不可微点)时,由费马原理和变分法运算推得传输光线的轨迹方程与两种不同GRIN介质的界线方程应满足的微分关系式。

Like most university graduates in mechanical engineering, I do not have the sufficient mathematical knowledge to judge major mathematical problems, i.e. Fermat's Last Theorem, Riemann's Hypothesis, Jiang Chun-xuan's proof of FLT, Wiles's in question proof of FLT, or Jiang Chun-xuan's disproof RH, etc.

像大部分机械工程大学毕业生那样,我没有足够的数学知识判断重大数学问题,如费马大定理〔FLT〕、黎曼假设〔RH〕等,以及蒋春暄对于FLT的证明、怀尔斯〔Wiles〕对FLT有问题的证明、蒋春暄对于RH的否定。

The proof of Fermat's Last Theorem was a major mathematical feat of the 20th century.

费马大定理的证明是20世纪数学的一个主要功绩。

L The proof of Fermat\'s Last Theorem was a major mathematical feat of the 20th century.

费马大定理的证明是20世纪数学的一个主要功绩。

More than 200 years ago Euler gave a proof of . Fermat's last theorem has been proved.

在二百多年前欧拉已给一个证明,所以费马大定理已全部证明完了。

It is such propositions that spur new ideas and inventiveness, just as Fermat's Last Theorem has done for centuries.

其实,正是这样的命题不断地激发着新的观念与新的创造,就像费马大定理几个世纪以来对数学所起的推动作用。

One day during this period, we were sitting together on the floor of John's apartment. He was 1knitting himself a sweater and I was reading [1]Fermat's Last Theorem.

在这期间的某一天,在约翰家里,我们坐在地板上,他在给自己织毛衣,而我则在钻研费马最后定理。

At the Newton Research Institute Wiles claimed that he has proved Fermat's Last Theorem.

Wiles 在英国牛顿研究所宣布他证明了费马大定理。

I'll solve one or more mathematics puzzles, such as Beal conjecture, and Fermat's last theorem etc.

后来,一个梦想伴随了我很多年,我将解决一个或更多的数学难题,如 Beal 猜想、费马大定理等。

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With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务,乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐,因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。

Closes the eye, the deep breathing, all no longer are the dreams as if......

关闭眼睛,深呼吸,一切不再是梦想,犹如。。。。。。