Antarctica has lost 10 times the size of Greater Los Angeles in ice over 30 years. The ice sheet has been retreating from the grounding line at an average rate of 442 square kilometers per year.

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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 \(p\).

Кроме того, российская авиация нанесла поражение украинским аэродромам, с которых осуществлялся запуск ударных беспилотников дальнего действия, объектам энергетики и портовой инфраструктуры, используемым в интересах военно-промышленного комплекса Украины, а также пунктам временной дислокации формирований противника и иностранных наемников в 142-х районах.

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