四元数

Let\'s start by converting a quaternion to a rotation matrix.

现在让我们将一四元数转换为旋转矩阵。

A quaternion can be used to represent any arbitrary rotation.

四元数可用来表现所有形式的旋转。

It holds for the integers with addition and multiplication, but it does not hold for matrix multiplication or quaternion multiplication .

它所拥有的整数加法和乘法的，但是它并不拥有的矩阵乘法或四元数乘法。

Quaternion for the rotation of three-dimensional model can be well calculated.

四元数对于三维模型的旋转能够很好的计算。

If xi + y is a complex number, then think of a quaternion as a very complex number.

假如xi + y是一个复数，那么我们可认为四元数是一组很特别的复数。

Finally the advantages of quaternion method over Euler met...

最后讨论了四元数法优于欧拉法之处。

The attitude updating accuracy of quaternion algorithm and equivalent rotating vector algorithm was compared.

对四元数法和等效转动矢量法的滚转弹姿态解算精度进行比较，并通过打击机动目标的仿真试验验证了姿态解算精度对制导精度的影响。

The simultaneous diagonalization by congruence of pairs of Hermitian quaternion matrices is discussed.

讨论四元数Hermitian矩阵对在共轭合同关系下的同时对角化问题。

The quaternion matrix singular value perturbation theorem is generalized and these results are also new one for complex matrix.

本文对四元数体上矩阵奇异值摄动定理给出了推广，且这些结果对复矩阵也是新的。

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。

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。