四元数

"We must fight for racial equality ," continued the speaker.

两个四元数相等的准则是，它们的数量部分相等。

This paper makes further research on the error,caused by use of a single step or a variable step of Runge Kutta to solve the Euler equation of quaternion method, find that the large error results from cumulated error with single step, and when using the variable step,the cumulative error is less.

结果表明，定步长时有很大的累积误差，单位四元数的"单位"性不能得到满足，而变步长有明显的改观，对一般的飞行模拟状态，都能得到较好的模拟结果，可以在实际中使用。

In this paper, decomposition of a quaternion matrix is systemically studied.

本文系统的研究了四元数矩阵分解理论。

For coplanar quadrilateral patterns,the initial values of iteration are given by coordinates of virtual image of the intersection point of two diagonal lines.

获得测距后即可应用四元数估算法确定相对姿态与相对位置。

For coplanar quadrilateral patterns, the initial values of iteration are given by coordinates of virtual image of the inter-section point of two diagonal lines.

获得测距后即可应用四元数估算法确定相对姿态与相对位置。

The updating algorithm of Strapdown matrix is one of the crucial techniques of SINS. There are several kinds of attitude updating algorithms of SINS, such as direction cosine algorithm and quaternion algorithm.

捷联矩阵更新算法是捷联系统的关键技术之一，捷联惯导系统姿态算法有欧拉角法、方向余弦法、四元数法和圆锥补偿算法等几种方法。

The so called indirect integral operation means that Eular angles can be gotten from the direction cosine matrix which is received by the integral operation of quaternions or direction cosine.

飞行器导航中，姿态角的获取可以通过直接或间接的积分运算求得的，所谓间接获取即是指通过四元数或方向余弦的积分运算求得姿态矩阵，再从姿态矩阵中提取姿态角。

Several common description methods for rotational kinematics are discussed in control point, such as direction cosine matrix, Euler angles, quaternions and Rodrigues/Modified-Rodrigues parameters. Transformation relationships, advantages and disadvantages among those methods are discussed.

从控制角度综评方向余弦、欧拉角、四元数和Rodrigues/修正Rodrigues参数几种常用姿态描述动态方程，指出各种方法的优缺点，及相互转化。

The problem of the equipment is that the calculation results appear distortion when angle is near to 45°.

论文在深入研究现有算法存在问题的基础上，采用了一种广泛用于刚体定位的数学参数算法——四元数法。

It is sometimes easier to use quaternions with complex elements, leading to a form that is not a division algebra.

有时候采用带有复数元素之四元数会比较容易，导得结果不为除法代数之形式。

But we don't care about Battlegrounds.

但我们并不在乎沙场中的显露。

Ah! don't mention it, the butcher's shop is a horror.

啊！不用提了。提到肉，真是糟透了。