quaternions
英
美
网络 四元法; 四元数; 四元除环; 四元数法
双语例句
- 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 - 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 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。 - 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。 - 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。 - 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。 - 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。 - The conversion relationship of inertial tensor matrix under the conditions of gyration and aclinic shift of coordinate system for catastrophic structure vehicle is derived, and the same formal structure matrix is expressed by using matrix of quaternions product.
用四元数和与四元数乘积的矩阵表示形式结构相似的矩阵,针对结构突变飞行器固连坐标系有平动和转动的情况,推导了惯性张量矩阵的变换关系。 - The matrices in CwMtx include vectors and square matrices, where vectors include space vectors and quaternions.
CwMtx中的矩阵包括向量和方阵,其中向量包括空间向量和四元数。
