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

• 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。
• 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。
• 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 probability analysis of the rounding error is given for the numerical solution of the differential equations of the quaternions in the strapdown guidance system.
  对捷联式制导系统中四元数微分方程数值求解舍入误差进行概率分析。
• 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。
• 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。
• 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 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。
• Y component of the Quaternion. Don't modify this directly unless you know quaternions inside out.
  四元数的Y组件。不要直接修改这个，除非你很了解四元数。