quaternions

英

美

网络  四元法; 四元数; 四元除环; 四元数法

双语例句

• 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。
• 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。
• 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。
• 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。
• Are two quaternions equal to each other?
  两个四元数相等？
• 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。
• 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。
• Quaternions are used to represent rotations.
  四元数用于表示旋转。
• 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。
• 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。