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

• Quaternions are used to represent rotations.
  四元数用于表示旋转。
• It is not easy to study quaternion algebra problems because of the non-commutative multiplication of quaternions.
  由于四元数乘法的不可交换性，造成了对四元数代数问题研究的困难。
• 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。
• 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。
• 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 algebra of quaternions, the first noncommutative algebra was thus suddenly born.
  四元数的代数，第一非交换的代数，就这样在一夜之间诞生了。
• 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。
• To solve the problem, in this paper one made use of dual quaternions to study the integrated kinematics and dynamics modeling and control methods for spacecraft attitude and orbit motion.
  针对这一问题，本文研究了基于对偶四元数的航天器姿态轨道一体化运动学与动力学建模与控制方法。
• 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。
• 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。