In SM64 this covering space structure is used by giving Mario extremely high velocity \(v\) (a tangent vector at Marios position in \(P\)) through a different glitch called “backwards longjump”. The exponential map is then used to move Mario along the geodesic \(\exp_v(t)\) for \(t \in \mathbb{R}\). But due to hardware limitations, only discrete steps \(t_1, \dots, t_k\) for some \(k \in \mathbb{N}\) of this geodesic are actually calculated for collision detection. More on how this is related to the exponential map of Lie groups can be found in my previous post. Throughout this post, I will assume the Lie group of SM64 to have its unit at the position \(p\).
Жители Санкт-Петербурга устроили «крысогон»17:52
，这一点在雷电模拟器官方版本下载中也有详细论述
传统的效率公式是 产出 / 人数。2026年的新公式变成了 (人类专家 + AI Agent集群) / 时间。
경찰 허벅지에 290만원 ‘툭’…음주운전 여성의 최후