An exact solution for the nonlinear birefringent medium model is obtained by using SO(3) rotationgroup property.
本文利用SO（3）旋转群性质得到了非线性双折射介质模型的一个严格解。
2
A concept of kernel matrix of quaternion is proposed, which is based on rotationgroup algebra and with spacecraft attitude control as its background.
基于旋转群代数，以航天器姿态控制研究为背景，提出了四元数的核心矩阵的概念。
3
Upon this frame, use matrix Lie group to express the rotation space, then base on Bayesian estimation framework, calculate the minimum mean squared error bounds which use the matrix Lie groups.