quaternions

英

美

网络  四元法; 四元数; 四元除环; 四元数法

双语例句

• 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；
• 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。
• 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
• 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。
• 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。
• 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。
• 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。
• 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。
• 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