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(Video by Bismuth) The world of Super Mario 64 is more or less a 3-dimensional torus \(T^3\). Marios position is stored as a float, but cast down to a short for the collision detection, meaning that only values up between \(-32768\) and \(32767\) are actually detected as different positions for the collision detection. Therefor marios position detection is calculated in \(B:= (\mathbb{R}/65536\mathbb{Z})^3\), and his actual position is calculated in \(P:=(\mathbb{R} / (1.17549435 \times 10^{-38})\mathbb{Z})^3\), here we still need to mod out, because of Nintendo 64 IEEE‑754 floating point arithmetic.，更多细节参见一键获取谷歌浏览器下载
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The iPad Air comes in blue, purple, beige and gray. The 11-inch option measures 9.74 x 7.02 x 0.24 inches and the 13 comes in at 11.04 x 8.46 x 0.24 inches. As their names suggest, they’re both rather light, at 1.01 pounds (1.02 pounds for M4) and 1.36 pounds, respectively. My only wish was that we got new colors that popped a bit more.
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