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A collection of study notes, ideas, experiments, and some fragments of life, presented in the form of a website.

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Rotation Dynamics, Magnus Series, and Implementation

Apr 20, 2025

Rotation Matrix Derivative, Exponential, Magnus Series As discussed in 2020@Huber and Welshman@2013 , the time derivative of a rotation matrix $R$ with an angular velocity $\omega$ is given by

Tropical Weekend

Apr 19, 2025

A gentle breath of the ocean on Phoenix Island.

Eigen · Rotation Logarithm and Exponential

Apr 13, 2025

Rotation Matrix Logarithm and Exponential As discussed in Exponential and Logarithm in SO(3), SE(3), Quaternion Space, the formulas are as follows.

Nanjing, Jiangsu

Apr 12, 2025

Seeing a dear friend off to their new chapter in life.

Eigen 101 · Aliasing, Function Arguments and Reference

Apr 5, 2025

Some brief notes for quick reference. Aliasing It occurs when the same matrix or array coefficients appear both sides of an assignment operator. In general when you multiply two matrices, Eigen assumes...