quaternions

英

美

网络四元法; 四元数; 四元除环; 四元数法

双语例句

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。
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 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。
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；
First, the probabilistic model of the rounding error in the computation of quaternions on a fixed point computer is established. Then, the probabilistic rounding error estimates are computed.
首先，对于定点计算机上四元数计算的舍入误差建立了概率模型，然后对舍入误差进行概率估计。
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。
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 attitude kinematics and dynamics are both described by error quaternions.
姿态运动学和动力学用误差四元数描述。
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。