英语翻译他与丹尼尔·伯努利一起,建立了弹性体的力矩定律:作用在弹性细长杆上的力矩正比于物质的弹性和通过质心轴和垂直于两者

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英语翻译
他与丹尼尔·伯努利一起,建立了弹性体的力矩定律:作用在弹性细长杆上的力矩正比于物质的弹性和通过质心轴和垂直于两者的截面的惯性动量.
他还直接从牛顿运动定律出发,建立了流体力学里的欧拉方程.这些方程组在形式上等价于粘度为0的纳维-斯托克斯方程.人们对这些方程的主要兴趣在于它们能被用来研究冲击波.
他对微分方程理论作出了重要贡献.他还是欧拉近似法的创始人,这些计算法被用于计算力学中.此中最有名的被称为欧拉方法.
在数论里他引入了欧拉函数.自然数n的欧拉函数φ(n)被定义为小于n并且与n互质的自然数的个数.例如,φ(8) = 4,因为有四个自然数2,3,5和7与8互质.
在计算机领域中广泛使用的RSA公钥密码算法也正是以欧拉函数为基础的.
在分析领域,是欧拉综合了莱布尼兹的微分与牛顿的流数.
1个回答 分类:英语 2014-10-02

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He and Daniel Bernoulli together, establish the elastomer torque laws: the role of the elastic thin rod on the elastic material is proportional to the moment centroid and perpendicular to the axis and through the section between the inertial momentum.
He also directly from Newton's laws of motion, the fluid mechanics, euler's equation. These equations in the form of equivalent to the viscosity is 0 - stokes equation dimension. In these equations of the main interest is that they can be used for research and shock.
His theory of differential equations has made important contribution. He was the founder of euler approximation, the calculation method is used to calculate the mechanics. The most famous called the euler method.
He introduced the theory in the euler function. Natural n euler function φ (n) is defined as less than n and the number of natural co-prime n. For example, φ (8) = 4, because there are four natural 2,3,5 and 7 and 8 co-prime.
In the field of computer is widely used in the RSA public-key cryptosystem is based on the euler function.
In the analysis, is a comprehensive euler Leibnitz's differential and Newton's flow.
 
 
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