quaternions

英

美

网络四元法; 四元数; 四元除环; 四元数法

双语例句

The dissertation has investigated the problem of expressing the motion group by dual numbers, dual vectors, dual matrices, attitude quaternion and dual quaternions.
本文主要研究工作是用对偶数、对偶向量、对偶矩阵、旋转四元数和对偶四元数等对偶量研究运动群。
The designs of hardwares and softwares are discussed and the real time attitude and navigation algorithms based on quaternions are given.
文中叙述了硬软件设计过程及系统特点，给出了基于四元数的姿态及导航实时算法。
Error Analysis of INS with Single Axis Stabilization by Using Quaternions
应用四元数方法对单轴稳定惯导系统的误差分析
First, the probabilistic model of the rounding error in the computation of quaternions on a fixed point computer is established. Then, the probabilistic rounding error estimates are computed.
首先，对于定点计算机上四元数计算的舍入误差建立了概率模型，然后对舍入误差进行概率估计。
In this paper, we study proper norms of the quaternions and give the forms which fit for the kernel dimensions of 1,2 or 3.They are the generalized forms of complex numbers, and we give some better results.
讨论了四元数中的真半范数，并给出了它的一般形式，它适合核维数分别为1,2,3的情形，推广了复数域中的真半范数的一般形式，给出了一个较好的结果。
In this paper we give some inequalities of singular values of product of two quater-nion matrices. Based on this point we estimate each eigenvalue of product of self-conjugate quaternions matrices A and B for A ≥ 0, B ≥ 0orB>0.
本文给出了两个四元数矩阵乘积的奇异值的一些不等式，在此基础上估计了两个自共轭矩阵A、B的乘积的每个特征值，其中A≥0、B≥0或B>0。
The second argument that is commonly given for the use of quaternions is the possibility of smoothly interpolating between two orientations.
使用四元数的第二个理由，就是其可实现两个状态间的平滑插值。
The attitude equations and the displacement equations in general motion of a rigid body in the form of the real number quaternions are derived.
其次，得到了刚体和一般运动中的实数四元数形式的姿态方程式和位移方程式。
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。
With the help of the theory of quaternions the theorems of commutativity of composition for the finite rotation of rigid body are proved in the any order.
藉助于四元数理论证明了任意顺序下刚体有限转动合成的可交换性定理。