quaternions

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.

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.

In this paper, some results of the self-conjugate matrices over skew-field of quaternions are given.

给出实四元数体上矩阵对称积的定义, 得到了自共轭矩阵的对称积仍是自共轭矩阵的结论.

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.

Using the quaternions or biquaternions, It was solved that two turns were combined into one for fixed point or fixed axis.

本文用四元数与复四元效分别解决了刚体的定点与定轴转动的合成。

The conversion relationship of inertial tensor matrix under the conditions of gyration and aclinic shift of coordinate system for catastrophic structure vehicle is derived, and the same formal structure matrix is expressed by using matrix of quaternions product.

用四元数和与四元数乘积的矩阵表示形式结构相似的矩阵，针对结构突变飞行器固连坐标系有平动和转动的情况，推导了惯性张量矩阵的变换关系。

Only the bone data needs to be stored for every frame of the animation. Usually, the bone data is represented by quaternions.

存储动画帧我们仅仅需要骨胳的数据。通常，骨胳数据由四元数表示。