四元数,Quaternion
1)Quaternion[英][kw?'t?:nj?n][美][kw?'t?n??n]四元数
1.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
2.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
3.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
英文短句/例句

1.quaternion Grassmann manifold四元数格拉斯曼流形
2.Gauss Ring, Quaternions and RSA Arithmetic;Gauss环、四元数体与RSA算法
3.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
4.Maizar Project and Algebra Structure of the Quaternion Numbers;Mizar语言系统与四元数的代数结构
5.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
6.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)
7.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。
8.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。
9.QUATERNIONS AND ITS APPLICATION IN MISSILE COBOL SYSTEMS四元数及其在导弹控制系统中的应用
10.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
11.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
12.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
13.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
14.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
15.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
16.Minimization Problem for Hermitian Matrices over the Quaternion Field四元数体上Hermite矩阵的最小化问题
17.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
18.Quaternion-based 3D Similarity Transformation Algorithm基于四元数的三维空间相似变换解算
相关短句/例句

quaternions四元数
1.Method for rapid transfer alignment using quaternions;一种应用四元数的快速传递对准方法
2.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
3.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
3)unit quaternion四元数
1.The orientation-singularity expression of the Stewart platform is deduced by using unit quaternion which can avoid singularity when using Euler angles to represent the orientation of rigid body, and then the algorithm of orientation-workspace of the manipulator at a certain position is proposed.基于单位四元数描述的刚体姿态,避免了欧拉角等描述刚体姿态的奇异性问题,推导出Stewart机构处于给定位置时的姿态奇异解析表达式,并提出了该机构处于给定位置时的姿态工作空间算法,通过计算机仿真给出该机构处于一给定位置时姿态奇异轨迹和姿态工作空间的三维可视化描述。
2.Two control laws are presented for attitude regulation of a rigid body expressed by unit quaternion.给出了用四元数表示的刚体姿态调节问题的两种控制规律 。
4)quad-quaternion四四元数
1.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。
5)Quaternion Method四元数法
1.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
2.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。
6)quaternion-moment四元数矩
延伸阅读

四元数四元数quaternions数的一种。1843年英国数学家W.R.哈密顿为解决建立三维复数空间的问题,把复数x+iy作为一对有序偶的实数来研究,并定义了一套运算规则,使虚数i在复数运算中有了明确的意义。为此,他创立了有4个分量的新数,即txi+yj+zk,他把这个数称之为四元数。其中t为四元数的数量部分,也称纯量部分,xi+yj+zk为向量部分,式中i、j、k满足:i2=j2=k2=-1,ij=k,ji=-k,ki=j,ik=-j,jk=i,kj=-i。四元数的建立为向量代数和向量分析奠定了基础,四元数系又构成了以实数域为系数域的有限维可除代数,从而促进了代数学的发展。