1·Vector is a useless survival, or offshoot from quaternions.
向量是无用的幸存物或四元数的无价值的支流。
2·You pretty much know all the important stuff about quaternions now.
你现在几乎获得了所有关于四元数的重要信息。
3·Except for one thing: you don't have a good reason to use quaternions yet.
但除了一件事情，你还没有明白为何要使用四元数的原因。
4·The attitude kinematics and dynamics are both described by error quaternions.
姿态运动学和动力学用误差四元数描述。
5·Quaternions are used to describe the attitude of the rigid body system in this paper.
采用四元数法描述了刚体姿态系统。
6·The criterion of equality of two quaternions is that their scalar parts shall be equal.
两个四元数相等的准则是，它们的数量部分相等。
7·Quaternions extend the concept of rotation in three dimensions to rotation in four dimensions.
四元数将三维中旋转的概念扩展到四维中的旋转。
8·Of course, you'll also need to be able to convert from "conventional" representations to quaternions.
当然，你可能也会用到四元数转换的“常规”表示法。
9·The matrices in CwMtx include vectors and square matrices, where vectors include space vectors and quaternions.
CwMtx 中的矩阵包括向量和方阵，其中向量包括空间向量和四元数。
10·Quaternions do not suffer from gimbal lock, because they do not express rotations relative to three separate axes.
四元数就不会遭受万向节锁的痛苦，因为它不用三个分离的轴表示旋转。
1·The matrices in CwMtx include vectors and square matrices, where vectors include space vectors and quaternions.
CwMtx 中的矩阵包括向量和方阵，其中向量包括空间向量和四元数。
2·However, it was later discovered that quaternions can also be used in computer graphics, as an alternative and compact way to represent rotations.
然而，人们发现四元数也可以应用在计算机图形学上，作为表现旋转的可选择方法之一。
3·Compared to the Euler angles the main advantage of the quaternions expression of attitude motion is the avoidance of singular position in numeration procedure.
与欧拉角比较，姿态运动的四元数表达的主要优点是数值计算过程中不存在奇异位置。
4·Several weakly controled inequalities with relation to trace of quaternions matrices are proved, and relevant results in some references are generalized and improved.
证明了几个与四元数矩阵迹有关的弱控制不等式，推广、改进了有关文献的相应结果。
5·The criterion of equality of two quaternions is that their scalar parts shall be equal.
两个四元数相等的准则是，它们的数量部分相等。