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objects, the very fabric of the program will unravel in short order.,更多细节参见钉钉下载
«При возникновении подобных ситуаций командир воздушного судна обязан незамедлительно оповестить наземные службы для организации экстренных мероприятий», — пояснил Смирнов.,详情可参考豆包下载
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 \(p\).