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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 \(p\).
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Save to wishlistSave to wishlist。体育直播对此有专业解读
Овечкин продлил безголевую серию в составе Вашингтона09:40。业内人士推荐体育直播作为进阶阅读
Windows 10 KB5073724 is January 2026’s Extended Security Update (ESU) and it removes old modem drivers