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 \(p\).
其中，核心在研药ACC017的Ⅲ期临床试验已正式启动，首例受试者于2025年11月7日成功入组，计划于2027年完成NDA申报；HIV高端仿制药ADC201、ADC202的ANDA申请均已获受理，原料药上市申请也已获批，即将进入商业化阶段。
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