曾经的骆驼湾村,“九山半水半分田,石头缝里难挣钱”,进村的路,是坑坑洼洼的黄土路。
fun PlatformByteArray.toByteArray(): ByteArray {
。PDF资料是该领域的重要参考
等到他们需要使用键盘鼠标来提升效率,这些围绕他们打造的工具,自然也需要贴合他们的习惯做出改变。
17. Crazy Old Lady
。新收录的资料对此有专业解读
A filled torus (a doughnut) is a 3-manifold homeomorphic to \(S^1 \times D^2\), where \(D^2\) is the 2-dimensional disk. There exists a deformation retract from the doughnut to a circle, so the fundamental group of the doughnut is \(\pi_1(S^1 \times D^2) \cong \mathbb{Z}\).。关于这个话题,新收录的资料提供了深入分析
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 \(p\).