quaternion
英
美
网络 四元素; 四元数; 四元數; 四元组
复数：quaternions
英英释义
noun
- the cardinal number that is the sum of three and one
双语例句
- First, according to the tracking error dynamics and kinematics described by unit quaternion error and angular velocity error, a sliding mode controller is derived based on Lyapunov theory.
首先根据由误差四元数和误差角速度描述的跟踪误差动力学和运动学方程，设计了基于李亚普诺夫方法的滑模变结构控制律。 - The original color image was first represented by using quaternion Same-Hue-Full-Saturation ( SHFS) form.
首先将输入彩色图像用同色调全饱和度四元数形式表示； - The norm of a quaternion is similar to that of a vector. examining resemblances or differences.
四元数的平均值与矢量的有点相似。检查相似点或不同点。 - In addition, the paper also discussed a group of formula of vector differentiation in quaternion form.
文章还讨论了四元数形式的矢量微分运算的一组计算公式。 - In this paper, we obtain some inequalities for norm and traces of quaternion matrices.
本文获得了四元数矩阵的范数和迹的一些不等式，改进了近期的某些结果。 - In the paper a general space-time transformation theory is established with complex quaternion as space-time algebra.
以复四元数为时空代数，建立了一个广义时空变换理论。 - The main purpose of this paper is to study a new proof of extended unitary diagonalizable of self-conjugate matrix in quaternion field and deduce other properties concerned.
探讨了四元数体上自共轭矩阵的广义酉对角化的新证法，并由此推出其它相应的性质。 - Considering the target angle rate changing, an adaptive attitude tracking control law was designed based on the error quaternion, and the corresponding close system stability was also proved.
考虑目标姿态角速度可以时变的一般情形，设计了基于误差四元数的自适应姿态跟踪控制律，给出了稳定性证明。 - So, dual Euler method is better than quaternion method in the solution of the singularity of the Euler equation.
对解决欧拉方程奇异性的双欧法和四元数法进行了对比研究。 - In the paper the generalized numerical radiuses of real quaternion matrices with symmetric function are defined and theirs inequalities are given.
本文定义了带有对称函数的实四无数矩阵的广义数值半径并得到了它们所满足的不等式。