四元

Muti antennae GPS/Gyro integrated navigation system is studied too in this paper. Using single difference GPS carrier phase observations and quaternion error, state equation and measurement equation is established for muti antennae GPS/Gyro integrated navigation system.

本文也对多天线GPS/Gyro组合捷联航姿系统进行了研究，利用单差载波相位测量的方法，建立了基于四元数误差的多天线GPS与Gyro组合航姿系统的状态方程和量测方程。

The use of quaternions can replace tensors in representation.

四元数可以用来取代张量表示。

The algebra of quaternions, the first noncommutative algebra was thus suddenly born.

四元数的代数，第一非交换的代数，就这样在一夜之间诞生了。

The algebra of quaternions, the first noncommutative algebra was thus suddenly born

四元数的代数，第一非交换的代数，就这样突然诞生了。

Methods: After the sample being digested, because of ethylenediamine-hydrochloric acid, aluminium, chrome azurol S, the polyethylene glycol octyl phenyl ether together with hexadecylpyridine bromide form a steady blue quaternion system, whose absorbance and aluminium content is direct ratio within some consistence range.

样品经消化后，在乙二胺－盐酸缓冲介质存在下，铝与铬天青S和聚乙二醇辛基苯醚及溴代十六烷基吡啶形成稳定蓝色四元体系，在一定浓度范围内，其吸光度与铝含量成正比。

The argument finds the angle of the 4- vector quaternion from the unit scalar i.e.

辐角函数可找出一4-向量四元数偏离单位纯量(即：1)之角度。

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。

Based on the 2D image face localization result, we presented a novel optimization method to infer the optimal 3D shape and position parameters based on the unit quaternion.

基于前面的二维人脸定位算法，提出了一种基于四元向量的EM优化算法，用来快速鲁棒地求解三维模型的形状参数和六个位置参数。

Due to the demand of the large angle attitude control, the unit quaternion is used to describe the spacecraft attitude in this thesis.

针对飞行器以姿控发动机作为姿控执行机构时的大角度姿态运动需求，本文采用单位四元数作为弹体姿态描述，考虑到姿控发动机布局对姿态控制的影响，直接以姿控发动机推力作为系统的控制输入，利用反馈线性化方法，将原非线性系统转化为一个六阶线性子系统和一个一阶内动态子系统。

The orientation-singularity expression of the Stewart platform is deduced by using unit quaternion which can avoid singularity when using Euler angles to represent the orientation of rigid body, and then the algorithm of orientation-workspace of the manipulator at a certain position is proposed.

基于单位四元数描述的刚体姿态，避免了欧拉角等描述刚体姿态的奇异性问题，推导出Stewart机构处于给定位置时的姿态奇异解析表达式，并提出了该机构处于给定位置时的姿态工作空间算法，通过计算机仿真给出该机构处于一给定位置时姿态奇异轨迹和姿态工作空间的三维可视化描述。

Singer Leona Lewis and former Led Zeppelin guitarist Jimmy Page emerged as the bus transformed into a grass-covered carnival float, and the pair combined for a rendition of "Whole Lotta Love".

歌手leona刘易斯和前率领的飞艇的吉他手吉米页出现巴士转化为基层所涵盖的嘉年华花车，和一双合并为一移交&整个lotta爱&。

This is Kate, and that's Erin.

这是凯特，那个是爱朗。