四元向量

Rotation, store the data in the matrix as an axis/angle and do the conversions yourself or will need to convert it to a quaternion.A quaternion is composed of four components: a vector with x, y, z coordinates and a w rotation.

当用一个四元数乘以一个向量时，实际上就是让该向量围绕着这个四元数所描述的旋转轴，转动这个四元数所描述的角度而得到的向量。

Vector is a useless survival, or offshoot from quaternions, and has never been of the slightest use to any

向量是无用的幸存物或四元数的无价值的支流，对任何创造，从未有过最微细的应用。

Based on the model of color image, color face image was recognized as a template for processing, and singular value vector was firstly applied to color face recognition.

基于彩色图像的四元数模型，将彩色人脸图像视为一个模板直接处理，并首次将奇异值向量应用到彩色人脸识别中。

Results Vector algebra and vector analysis are the production of quaternions and the result of seeking mathematical indication of physical phenomenon, it′s the historic certainty as well as the effect of some accidental elements.

结果现代向量系统是从四元数发展而来的，是寻找物理现象的数学表示的结果；通过对哈密顿四元数与格拉斯曼系统的对比分析指出其历史的必然性。

By using the methods of complex representation of quaternion matrices and companion vector, we study and simplify the numerical calculation methods of quaterinon matrices, and establish new aigebraic methods in quaternionic quantum mechanics.

我们通过四元数的复表示和友向量方法，研究并解决了四元数矩阵的一系列数值计算问题，给出一套四元数量子力学中的数值计算方法。

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。

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。

Aim To check and analyze the developmental process from quaternions to vector.

目的考察和分析从四元数到向量的发展历程。

Vector is a useless survival, or offshoot from quaternions, and has never been of the slightest use to any creature.

向量是无用的幸存物或四元数的无价值的支流，对任何创造，从未有过最微细的应用。

Vector is a useless survival, or offshoot from quaternions.

向量是无用的幸存物或四元数的无价值的支流。

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。