四元数

Utilizing the real representation of quaternion matrices and its characters discusses the reversibility of quaternion matrices and a account way of athwart matrix in this article.

3，利用四元数矩阵的实表示及其性质讨论了四元数矩阵的可逆性以及逆矩阵的一种计算方法

In addition, Hamilton quaternion, Ma quaternion and their Euler formula similar to that of two-dimensional real signal were discussed.

讨论了Hamilton四元数、马氏四元数及其与二维实信号类似的欧拉公式。

Calculation formula of quaternion integral initial values in simulation was put forward through quaternion to Euler angle conversion.

通过四元数到欧拉角的转换，给出了仿真中四元数的积分初值计算公式；分析了弹射仿真中姿态角的跳跃和间断问题。

In this paper, we describe the history of Mizar system and the method to use theMizar system. Then we give the definition of quaternion numbers, module, algebrastructre etc, and then we prove its properties.

本文首先介绍了Miza(来源：ABC论文61网www.abclunwen.com)r系统的计算机操作原理和使用方法，给出了在Mizar语言系统下四元数、四元数的运算、共轭、内积、模等代数结构理论的证明，所做结论都通过了Mizar系统的验证，发表在波兰的《Formalized Mathematics》杂志上，并被收录到MML数据库中。

We also give out Schur decomposition for normal quaternion matrix.

对四元数正规矩阵，给出了其Schur分解，使得对某些四元数矩阵的计算得到了进一步的简化。

This paper adopts new algebra structure of quaternion matrix,to study how to apply a variety of iterative algorithm to quaternion linear systems.

本文通过引入四元数矩阵的新代数结构表示运算，研究如何将多种迭代算法应用于四元数线性系统上。

Because of Its wide-ranging connection with many applied science, such as the quantum physics, geostatic, the figure and pattern recognition and the space telemetry and so forth, the research in quaternion algebra is valuabe.

四元数在众多的应用问题中存在广泛的联系，如四元数在量子力学，刚体力学方面的应用，在计算机图形图像处理和识别方面的应用，在空间定位方面的应用等。

A conception of "standard quaternion" is proposed and its significance in attitude simulation is also discussed.

最后讨论了用四元数实现姿态描述惟一性的问题，并提出了"标准"四元数的概念。

Accordingly, it is also very important for quaternion matrix theory.

同样地，对于四元数体上矩阵的理论研究和计算而言，四元数矩阵分解也占有十分重要的地位。

We work out generalized Schur decomposition of quaternion matrix pencil and give out a sufficient condition for simultaneous unitary diagonalization of two quaternion matrices.

2得到了四元数矩阵束的广义Schur分解及两四元数矩阵可同时酉对角化的一个充分条件。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。