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测试逻辑[番外] 超限归纳在拓扑上的一个应用
此文作讲解的不是数理逻辑, 而是测试逻辑中一个重要定理---超限归纳在拓扑的一个基本定理上的应用(其实还顺带介绍了不少拓扑). 当然, 在本篇的之后可能会讲到佐恩引理, 那么这些用超限归纳解题的过程都能被简化, 这也是大多数教科书所用的做法. 不过归根结底本文目的…… -
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Crimson-boi[11] 创新高考题
题目背景 总有人喜欢在高考数学中嚷嚷"仿射变换", 于是一道纯正射影几何高考"创新题"应运而生(其实还顺便测试一下QuickLaTex). 题面 如上图, , , 共线, , , 共线, , , 共线, 且, , 不共线, , , 不共线. (1) 若与不是同一平面, 求证与的交点, 与的交点, 与的交点共线.…… -
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Orange Boy Can You Solve It Out? Ep. 53 - Gaokao Special 2
思考题 which is an adaptation from a popular problem. The source problem is very popular. IDK if this adaptation has been made or not. Adaptation There are N people indexed from 1 to N in a room. Each of them is given a hat of a random color. The t…… -
Orange Boy Can You Solve It Out? Ep. 52 - Gaokao Special 1
Finally some geometry! Maybe very easy though. Currently I am undergoing the College Entrance Exam(GK) so I don't have many ideas for Competitive Programming problems. This problem is inspired by some math problem in GK Simulation. Of course, this …… -
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Orange Boy Can You Solve It Out? Ep. 51
思考题 of Div2B-C Elevator Welcome back to OBCYSIO! Orange Boy has been promoted to LGM boy so this series is in an awkward situation. This problem is very easy. Consider an elevator with a max speed of v_m m/s and an acceleration of a m/s^2. When ……