苹果显然深知这种喃喃自语带来的社交压力，它的解决方案是「说话无声」——就在上个月底，苹果斥资 20 亿美元，快速而隐秘地收购了以色列公司 Q.ai， 将这项技术纳入囊中，具体信息，可以查看我们的报道：https://mp.weixin.qq.com/s/xh1yCU7VDcydqw2yeKGG0A?clicktime=1771374793&enterid=1771374793&scene=126&sessionid=1771374778&subscene=91
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 \(p\).
。PDF资料对此有专业解读
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Фото: Ludmila Pakhomova / Global Look Press
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