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Apple has also bumped up the RAM from 8GB from the last-gen model to 12GB. Given the sharp increase in RAM prices in recent months, it’s slightly surprising that Apple is sticking to the same prices for the iPad Air. The 11-inch M4 iPad Air starts at $599 while the 13-inch version starts at $799, each with 128GB of storage. There's a $50 discount for those buying it for educational use.
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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 \(p\).
Sony started releasing some of its biggest games on PC in 2020, when Horizon Zero Dawn came to Steam. A number of other titles have followed suit since, including The Last of Us Part I, Ghost of Tsushima, God of War Ragnarök and the Marvel’s Spider-Man games. But the company appears to have had a major change of heart, with high-profile titles like Ghost of Yotei and the upcoming Saros set to launch on PS5 only.
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