quaternion
英
美
网络 四元素; 四元数; 四元數; 四元组
复数：quaternions
英英释义
noun
- the cardinal number that is the sum of three and one
双语例句
- The main purpose of this paper is to study a new proof of extended unitary diagonalizable of self-conjugate matrix in quaternion field and deduce other properties concerned.
探讨了四元数体上自共轭矩阵的广义酉对角化的新证法，并由此推出其它相应的性质。 - A kind of control law is designed using unit quaternion and angular velocity by the feedback nonlinearization approach firstly.
首先利用反馈非线性化方法，给出一种不含非线性扭矩项、仅由四元数和角速度的线性组合构成的控制规律。 - In the paper a general space-time transformation theory is established with complex quaternion as space-time algebra.
以复四元数为时空代数，建立了一个广义时空变换理论。 - The norm of a quaternion is similar to that of a vector. examining resemblances or differences.
四元数的平均值与矢量的有点相似。检查相似点或不同点。 - On Diagonalization of Matrices and Schur Theorem over Quaternion Field;
四元数体上矩阵的对角化和Schur定理（英文） - So, dual Euler method is better than quaternion method in the solution of the singularity of the Euler equation.
对解决欧拉方程奇异性的双欧法和四元数法进行了对比研究。 - The quaternion matrix singular value perturbation theorem is generalized and these results are also new one for complex matrix.
本文对四元数体上矩阵奇异值摄动定理给出了推广，且这些结果对复矩阵也是新的。 - Calculates the natural logarithm of a quaternion.
计算四元数的自然对数。 - In addition, the paper also discussed a group of formula of vector differentiation in quaternion form.
文章还讨论了四元数形式的矢量微分运算的一组计算公式。 - Two kind of linear representations of the generalized quaternion algebras are given, and a necessary and sufficient condition about the isomorphism of two generalized quaternion algebras is obtained.
给出了广义四元数代数的两种线性表示，导出了两个广义四元数代数同构的充要条件；