Question

求好心人翻译成英文

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。

Answer 1

Lee with his 丹尼尔伯努 （不知咋翻译）established elastic torque law: the role of torque in the elastic slender rod material is proportional to the flexibility and through the mass axis and the vertical cross section of both the inertia in the momentum.
He also proceed directly from Newton's laws of motion established in the Euler equations of fluid mechanics. In the form of these equations is equivalent to a viscosity of 0 Navier - Stokes equations. The main people interested in these equations is that they can be used to study the shock wave.
He made important contributions to differential equation theory. He is the founder of the Euler approximation, the calculation method used to calculate the mechanics. Herein referred to as the most famous Euler method.
In number theory where he introduced the Euler function. Natural number n the Euler function φ (n) is defined as less than n and coprime with n the number of natural numbers. For example, φ (8) = 4, because there are four natural numbers 2,3,5 and 7 and 8 are relatively prime.
Widely used in the computer field in the RSA public key cryptography algorithms is based on the Euler function.
In the areas of analysis is the Euler differential combination of Leibniz and Newton's flow number.

Answer 2

He together with Daniel · Bonuli, force moment law having built an elastomer: The force moment direct proportion acting on flexible pole long and thin composes in reply in the matter elasticity and by quality mandril the perpendicular inertia momentum in both cross section. He has set off from Newton's laws of motion fairly directly , has built Euler equation inside the hydromechanics. These set of equations Nawei- Situokesi being 0 in viscosity in formal equivalence equation. People's main interest in these equation depends on they can be used to study blast wave. He has made important contribution to differential equation theory. He still is that Europe pulls approximation law founder, in these Mechanics calculating law being used to secretly scheme against. This middle most well-known quilt is called Euler method. Within number theory, he has led into the Euler function. The natural number n Euler function phi (n) is defined the number being smaller than n and the natural number with n mutually quality. For instance, phi (8) = 4, because of having four natural numbers 2 , 3, 5 composes in reply 7 and 8 mutually quality. The public RSA key password being hit by broad usage in computer field algorithm also exactly is to take Euler function as basis. Differential and Newtonian stream number being that Euler has synthesized Leibnitz in analytical field.

Answer 3

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.