quaternions

英

美

网络  四元法; 四元数; 四元除环; 四元数法

双语例句

• Are two quaternions equal to each other?
  两个四元数相等？
• 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。
• 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。
• 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。
• 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 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。
• An adaptive control approach based on quaternions for the spacecraft with reaction wheels was proposed.
  文中针对飞轮控制航天器提出了一种基于四元数的自适应控制方法。
• 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。
• 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。
• 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。