在这方面，四元数的理论和方法或许是合适的。
In this aspect, the quaternion theories and methods perhaps are appropriate.
函数的参数数量称为元数(arity)，用于帮助标识函数。
The number of arguments to a function is called it's arity, and is used to help identify the functions.
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。
The matrices in CwMtx include vectors and square matrices, where vectors include space vectors and quaternions.
每个函数的定义都给出了函数名和函数的元数，以便您能导出函数的特定定义。
The definition for each function shows the function name with the arity of the function. This enables you to export very specific definitions of the function.
四元数可能把三维旋转的概念推广到四维(请参阅参考资料，其中有四元数的参考资料的链接)。
Quaternions make it possible to extend the concept of rotation in three dimensions to four dimensions (see Resources for links to quaternion references).
本文系统的研究了四元数矩阵分解理论。
In this paper, decomposition of a quaternion matrix is systemically studied.
用当前四元数的自然对数替换此四元数。
姿态运动学和动力学用误差四元数描述。
The attitude kinematics and dynamics are both described by error quaternions.
使用四元数避免了欧拉角法的奇异问题；
Quaternion is used rather than Eular angles to avoid the problem of singularity.
欧拉参数是规范四元数。
本文讨论四元数矩阵右特征值的存在性问题。
In this paper, we study the existence for right eigenvalue of quaternion matrix.
你现在几乎获得了所有关于四元数的重要信息。
You pretty much know all the important stuff about quaternions now.
四元数将三维中旋转的概念扩展到四维中的旋转。
Quaternions extend the concept of rotation in three dimensions to rotation in four dimensions.
两个四元数相等的准则是，它们的数量部分相等。
The criterion of equality of two quaternions is that their scalar parts shall be equal.
用四元数方法建立起卫星动力学方程和运动学方程。
The satellite dynamics equation and kinematic equations are built with the method of quaternion.
这是试图把四元数方法引入空间啮合原理研究的一种尝试。
This represents an attempt in introducing quaternion methods in the study of cases involving space engagement.
本文对十六元数进行了考察，得到了其实矩阵的表示形式。
This paper investigates the sedenion and finds its presenting form by the means of real matrix.
给出了自共轭四元数矩阵的弱圈积的特征值的一些不等式。
Some inequalities of eigenvalues for weak cycle products of self-conjugate quaternion matrices are given.
采用四元数描述刚体姿态，建立了刚体姿态运动的数学模型。
Quaternion is used to describe the orientation of a rigid body, and attitude motion is modelled.
由此，把复数域上矩阵论的若干重要定理推广到了四元数体。
Accordingly, we extended several important theorems of complex matrix theory to the quaternion field.
八元数是一种不结合代数，关于它的结合运算性质知之甚少。
Octonion algebra is a non_associative algebra, and only a few associative calculating properties are known.
因此，对于解决欧拉方程奇异性来讲，双欧法要优于四元数法。
So, dual Euler method is better than quaternion method in the solution of the singularity of the Euler equation.
使用四元数的第二个理由，就是其可实现两个状态间的平滑插值。
The second argument that is commonly given for the use of quaternions is the possibility of smoothly interpolating between two orientations.
单位面积阳性神经元数即每平方毫米面积中所含阳性神经元数量。
Number of positive neurons of unit area refers to the positive neuron counts in each square millimeter.
采用最小参数法求解四元数微分方程，优化了四元数实时更新算法。
When optimizing synchro update of the quaternion, the quaternion differential equation is calculated by using minimum parametric method.
拼接可大幅度地提高光电接收器的总像元数，并在实际工程中应用。
The assembly can raise total pixel numbers of photodetector in largescale, and can be applied to practical engineering.
一个按引用传递的数值，标识该四元数的旋转角度(以弧度为单位)。
Angle a number, passed by reference, that identifies the Angle of rotation, in radians, of the quaternion.
通过四元数法和欧拉角法描述飞行器姿态，并建立相应的运动学方程。
The attitudes of vehicle are described by both quaternion and Euler angles, and two kinds of motion equations are established accordingly.
对高精度导航系统和大机动场景来说，对偶四元数算法是一个更好的选择。
The new algorithm turns out to be a better choice than the conventional algorithm for high-precision navigation systems and high-maneuver applications.
对高精度导航系统和大机动场景来说，对偶四元数算法是一个更好的选择。
The new algorithm turns out to be a better choice than the conventional algorithm for high-precision navigation systems and high-maneuver applications.
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