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。
In the paper the complex quaternion is researched and is used to represent the restricted Lorentz Group and deduce some significant results.
本文研究了复四元数,用以表示狭义Lorentz群,导出了一些有意义的结果。
Introduces a new multidimensional algebra named the quad-quaternion.
提出了新的多元数概念——四四元数,以及四四元数框架下特征分解和奇异值分解等信号处理领域常用的矩阵运算新规则。
Solution of Forecasting-Correcting-Improving Algorithm to Quaternion Differential Equation of SINS Attitude;
基于预测-校正-改进算法解算SINS姿态的四元数微分方程
Research on the Quaternion Feedback Linearization for Spacecraft Attitude Control;
基于四元数反馈线性化的飞行器姿态控制方法研究
Cubic nonlinear phase coupling analyse of two-dimensional harmonic based on quaternion;
基于四元数模型的二维三次非线性相位耦合频率估计方法
Application of quaternion method to the six-DOF simulation of autonomous underwater vehicle (AUV);
四元数法在AUV六自由度仿真中的应用
By means of a idographic example, the quaternion method and the dual Euler method are studied and compared.
通过一个具体算例对四元数法和双欧法进行了研究和比较，澄清了四元数法应用中的几个问题，并且发现双欧法比四元数法能更好地克服欧拉方程的奇异性。
Method for rapid transfer alignment using quaternions;
一种应用四元数的快速传递对准方法
Probability Estimation of Round off Errors in Recursive Computing for Normalized Quaternions;
具有规范化的四元数递推计算的舍入误差的概率估计
From quaternions to vector:historical analyses of the evolution of the vectorial idea;
从四元数到向量:向量概念演变的历史分析
quaternion Grassmann manifold
四元数格拉斯曼流形
Gauss Ring, Quaternions and RSA Arithmetic;
Gauss环、四元数体与RSA算法
Study of Some Problems on Quaternion Algebras and Analysis;
关于四元数代数与分析若干问题研究
Maizar Project and Algebra Structure of the Quaternion Numbers;
Mizar语言系统与四元数的代数结构
Study on Some Matrices Problems over Real Quaternion Division Algebra
四元数体上代数的若干矩阵问题研究
The Spectra and Radicals of Quaternion Algebra Z_n[i,j,k]
四元数代数Z_n[i,j,k]的素谱和根(英文)
The norm of a quaternion is similar to that of a vector.
四元数的平均值与矢量的有点相似。
A quaternion can be used to represent any arbitrary rotation.
四元数可用来表现所有形式的旋转。
QUATERNIONS AND ITS APPLICATION IN MISSILE COBOL SYSTEMS
四元数及其在导弹控制系统中的应用
A computational method of determinant of self-conjugate quaternion matrice;
自共轭四元数矩阵行列式的计算方法
The Centrosymmetric Solution of the Quaternion Matrix Equation AXB=C;
四元数矩阵方程AXB=C的中心对称解
Extended Unitary Diagonalizable of Self-conjugate Matrix in Quaternion Field;
四元数体上自共轭矩阵广义酉对角化
Ranks of Solutions to Some Quaternion Matrix Equations with Applications
若干四元数矩阵方程解的秩及其应用
Research on Quintic-quaternion Spherical Bézier Spline Interpolation Algorithm for 5-axis CNC System
四元数球面Bézier样条插补算法的研究
Close-Form Solution of Absolute Orientation Based on Dual Quaternion
基于对偶四元数的绝对定向直接解法
Minimization Problem for Hermitian Matrices over the Quaternion Field
四元数体上Hermite矩阵的最小化问题
General Solution to a System of Quaternion Matrix Equations
一类四元数体上线性矩阵方程组的解
Quaternion-based 3D Similarity Transformation Algorithm
基于四元数的三维空间相似变换解算