quaternions

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网络  四元法; 四元数; 四元除环; 四元数法

双语例句

• 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。
• 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。
• 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。
• 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 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。
• In Chapter 6, by using real quaternions and their real matrix representations, we obtain some real matrix representations of 4-dimensional Clifford numbers and some properties of these representations.
  在第六章中，应用四元数的实矩阵表示，我们给出了四维Clifford代数中元素的矩阵表示，并研究了此表示的一些基本性质；
• 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。
• On the Estimation of Eigenvalues of Product of two Self-Conjugate Semi-Positive Definite Quaternions Matrices
  关于两个四元数自共轭半正定矩阵乘积的特征值估计
• 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。