quaternions

英

美

网络  四元法; 四元数; 四元除环; 四元数法

双语例句

• 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。
• 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
• 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。
• 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 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。
• 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。
• Quaternions, which extend imaginary numbers into a further dimension, began to be developed by William Hamilton in Dublin in 1843.
  1843年，威廉汉密尔顿（williamhamilton）在都柏林发明了四元数，将虚数扩展到四维空间。
• 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 transition matrix of this filter uses equivalent rotation vector based on quaternions to calculate the attitude, which can avoid the singularity problem of Euler angles and suppress the noncommutativity error.
  此滤波器的状态转移阵利用基于四元数的等效旋转矢量来计算姿态。等效旋转矢量法可以避免欧拉角的奇异问题，并能有效抑制不可交换误差。
• 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。