隐藏在素数规律中的 $\pi$
问题： 证明 $\dfrac{\pi}{4} = 1-\dfrac{1}{3}+\dfrac{1}{5}-\dfrac{1}{7}+\dfrac{1}{9}-\cdots$ ...
Posts
最速降线问题
问题： 在只考虑重力作用的情况下，一质点从点 A 沿某条曲线到点 B，问怎样的曲线能使所需时间最短？ ...
用莫比乌斯带巧解内接矩形问题
问题： 对于任意一条闭合连续曲线，是否总能找到曲线上的四个点，它们构成一个内接矩形？ ...
发明新数学是怎样一种体验
问题： 如何使 $1+2+2^2+\cdots=-1$？从已知的数学中拓展至新数学。 ...
音乐与测度论有什么关系
问题： 假设一位音乐天才，对任何频率之比为有理数的一对音符都觉得悦耳，那么他是否会觉得所有的音符都是悦耳的？ ...
Linux
Linux 的基础知识 ...
Particle and Rigid Body Dynamics
The course notes give detailed code implementation and mathematical derivation. ...
Projective Dynamics
Paper Reading Note ...
Position Based Dynamics
This paper Position-Based Simulation Methods in Computer Graphics introduces position-based methods and its differences from other methods. Moreover, it presents the algorithm and several solvers. Specific constraints are also discussed in detail. Finally, Implementation and application are briefly presented. ...
Physically Based Deformable Models
This paper presents the most important methods used in computer graphics to produce realistic animations and simulations: finite element/difference/volume methods, mass-spring systems, meshfree methods, coupled particle systems and reduced deformable models based on modal analysis. Also, it discusses the benefits and drawbacks of each method, reports the improvement that made in other papers. ...