quaternions

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网络四元法; 四元数; 四元除环; 四元数法

双语例句

Quaternions, which extend imaginary numbers into a further dimension, began to be developed by William Hamilton in Dublin in 1843.
1843年，威廉汉密尔顿（williamhamilton）在都柏林发明了四元数，将虚数扩展到四维空间。
The criterion of equality of two quaternions is that their scalar parts shall be equal.
两个四元数相等的准则是，它们的数量部分相等。
With the help of the theory of quaternions the theorems of commutativity of composition for the finite rotation of rigid body are proved in the any order.
藉助于四元数理论证明了任意顺序下刚体有限转动合成的可交换性定理。
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。
An adaptive control approach based on quaternions for the spacecraft with reaction wheels was proposed.
文中针对飞轮控制航天器提出了一种基于四元数的自适应控制方法。
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 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。
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 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。
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；