查询词典 quaternion

In addition, we improve Nivens method and our new method to solve the equation more quickly.2 Complete Solution Structure: We obtain that the whole solutions of real quaternionic polynomial equation are just composed of some quaternion equivalence classes and some isolated points.

另外，从新方法及四元数带余除法理论出发，进一步改进了新方法和Niven的传统方法。 2解的完整结构：由求解的新方法得到四元数多项式方程全体解的完整结构为四元数等价类与孤立点的集合，以往的结果成为其自然推论。

In the last of this dissertation, we give necessary and sufficient conditions for the existence of and the expressions of perpositive semidefinite solutions and bipositive semidefinite solutions to some systems of quaternion matrix equations.

给出了某些四元数矩阵方程组有广亚半正定解，双半正定解的充要条件及其表达公式；研究了矩阵方程组的最小二乘解，极小范数的最小二乘解，在某些约束条件下的最小二乘解和极小范数的最小二乘解，给出了其有这些解的充要条件及其表达公式。

Specifying a rotation directly as a quaternion is completely unintuitive, so what you\'ll want to do is convert quaternions to and from other representations.

四元数并不天生就具有旋转的特性，因此你还要做一些转换四元数或其它的一些必要工作。

The new method formulizes the immune response as a quaternion AIR=, where G denotes exterior stimulus or antigen, I denotes the set of valid antibodies, R denotes the set of reaction rules describing the interactions between antibodies, and A denotes the dynamical algorithm describing how the reaction rules are applied to antibody population.

新方法将免疫响应过程建模为一个四元组 AIR=，其中 G 为引发免疫响应的外界刺激，即抗原； I 为所有可能抗体的集合； R 为抗体间相互作用的规则集合； A 为支配抗体反应、指导抗体进化的动态算法。

Adopt project practical quaternion algorithm of strapdown navigation system, Analyze systematic error source, emulation prove the output change of SINS in there is device error of inertia and the initial condition of collimation error.

采用了工程上实用的四元数捷联导航系统的算法，分析了系统误差源，仿真验证了捷联惯导系统在有惯性器件误差及初始对准误差情况下的输出变化。

Based on the estimation of the directions of arrival and the Doppler frequencies of the sources, a quaternion model was proposed, which made the estimation of the DOA and the Doppler frequencies similar to that of one-dimensional azimuths so as to avoid direct and indirect pairing with the complex model.

针对阵列信号处理中方向角、多普勒频率的同时估计问题，提出了方向角、多普勒频率的四元数模型，使估计方向角、多普勒频率二维问题与估计一维问题相类似，从而避免了在经典的二维复数模型估计中直接或间接的配对。

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。

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。

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。