Euler parameter is the normalized quaternion.

欧拉参数是规范四元数。

Read Euler, read Euler, he is the master of us all.

数学大师欧拉的传世之作。阅读他的著作，是学习数学的最好途径。

So the Euler load is not equal to critical pressure.

所以。欧拉荷载不等于临界压力。

However, the invention and Euler was not people's attention.

不过，当时欧拉的发明并没有受到人们的重视。

A fast Euler Solver for planar flows is developed in this paper.

本文介绍了一种平面流动的快速欧拉方程解法。

In 1728 Euler gave differential equations for geodesics on surfaces.

1728年，奥伊勒绘出了曲面上测地线的微方程。

The Euler angles could be expressed with arbitrarily large rotations.

这里欧拉角可以用来表示任意大的转动。

The numerical solution of Euler equations is provided as flow solver .

翼型的流场解由欧拉方程的数值解提供。

In these cryptosystems, Euler totient functions play an important role.

在这些密码体制中，欧拉函数起着重要作用。

An iterative Newton-Euler dynamics algorithm is extended to general case.

将递推牛顿·欧拉动力学算法推广到更一般情况。

According to Euler theorem, we calculate Euler vectors of Chinese mainland.

再根据板块运动欧拉定理，求解中国大陆整体的欧拉矢量。

Gimbal lock is a phenomenon that easily affects Euler Angle representations.

万向节锁是一种容易影响到欧拉角表现的现象。

To see some examples of this, let's take a look at another Project Euler problem.

为了举例说明，让我们来看看另一个Project Euler问题。

And we discuss how to estimate the size of query result with Closed _ Euler Histogram.

讨论了如何使用闭欧拉直方图来估算查询结果集的大小。

An implicit time-marching method is presented for solving the transonic Euler equations.

本文提出了求解跨音速欧拉方程的一种隐式时间推进法。

In this paper, an approach to compute Euler number based on foreground run is formulated.

文中用基于图段的方法计算欧拉数，并对该算法的时空复杂度进行分析比较。

The correctness of the complete Euler equation set is verified with two functional examples.

通过两个算例验证了完全欧拉方程组的正确性。

Once again, we use a programming problem from Project Euler, but this time it's problem No. 2.

同样地，我们仍然使用Project Euler中的一个编程问题，但是这次，它是问题2。

Euler approximation is introduced for a broad class of jump-diffusion equations in this paper.

介绍了一类具有跳-扩散参数的随机微分方程的数值逼近方法。

The complete Euler equation set contains all kinds of Euler equations of the variational problems.

该方程组涵盖了变分问题的各种欧拉方程。

In most cases, molecular viscosity is unimportant so that the use of Euler equations is sufficient.

在大多数情况下，分子的粘度是不重要的，因此采用欧拉方程就足够了。

The problem of discontinuousness of Euler angle when tooling along circle trace is solved in this paper.

在刀具加工圆轨迹的情况时，会出现欧拉角不连续的现象，文中对此提出解决方法。

We set up robot dynamic equations using Newton Euler method on the basis of kinematics analysis of robot.

在对机器人进行运动学分析的基础上，利用牛顿欧拉法建立机器人动力学方程。

Project Euler was started by Colin Hughes (a.k.a. euler) in October 2001 as a sub-section on mathschallenge.net.

Project Euler 由 Colin Hughes (也被人们称为 euler) 在 2001年10月创建，一开始时作为 mathschallenge.net 网站的一个子栏目。

In general, Euler equation is solved by the method of variable transformation, but the procedure is complicated.

欧拉方程一般都是用“变量代换”法求解的，但其过程一般都比较繁琐。

So, dual Euler method is better than quaternion method in the solution of the singularity of the Euler equation.

因此，对于解决欧拉方程奇异性来讲，双欧法要优于四元数法。

In this paper, the Euler amplitude equation is developed to obtain the unsteady flow field in vibrating cascades.

本文提出了用小扰动欧拉振幅方程求解振动叶栅非定常流场的方法。

Parallel Machine Tool; CAD Variation Geometry; Euler Angle; Kinematics; Statics; Free-form Surface; Forward position.

并联机床；CAD变量几何；欧拉角；运动学；静力学；自由曲面；位置正解。