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 \(p\).
cumulative weight += weights[i]
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第六十二条 冒充国家机关工作人员招摇撞骗的,处十日以上十五日以下拘留,可以并处一千元以下罚款;情节较轻的,处五日以上十日以下拘留。,推荐阅读同城约会获取更多信息
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