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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 \(p\).,推荐阅读新收录的资料获取更多信息

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这次接受《南方人物周刊》的采访,为了解释他的抗压能力和扒信息技能的来处,他透露了一些新的信息:曾有一段职业经历是做趋势研究,与世界四大趋势公司深度合作,每天在海量的数据中抓取信息、总结提炼。当年的流行色、时尚圈裙子的面料、世界巨星新专辑封面的风格……都与他的工作有关。

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胡波,独立研究员,专注于数据分析与市场趋势研究,多篇文章获得业内好评。