funny problem from model theory problem sheet 题面 Let L be a countable language, T a theory. Let c_1,c_2,... be new constants, L'=L\cup\lbrace c_1,...\rbrace, and let X be the set of all complete theories of L' with T\subset t. Enumerate the L' se……

Rotman algebraic topology上的题, 个人认为出的非常好, 极大增进了读者对\pi_1(S^1)计算过程的理解. 题面 A group G which is also a topology space is called a topological group if \mu:G\times G\to G:(x,y)\mapsto xy and i:G\to G:x\mapsto x^{-1} are contin……

思考题 featuring Hikari again! Guess the string Hikari and her master Ninetail are playing a game. Hikari thinks of a string S with lower-case letters, and Ninetail asks her to make q modifications one by one. Each modification can only be one of t……

Dieudonne的题, 真实难度不好说, 回顾一下发现其实挺简单的. 题面 Let E be a Hilbert space, F a dense linear subspace of E, distinct from E. (For example E space of l^2 sum of a suitable countable linear independent set and F space of finite sum of thi……

题目背景 为证一个非零吃大师 题面 Assuming AC, prove that for a integral domain R, if any nonzero prime ideal P contains a nonzero prime (p), R is UFD. 先想再看提示哦 提示 Let S be the set of elements that are prime factori……

概括 原文为英文，本文是回忆版，具体数据可能有误。考完收试卷、草稿纸。可以携带一张A4手写笔记。不可以带计算器。 期中传送门 120分钟5题. P1 有一根长为2a的均匀杆子竖立在光滑水平面上，由于扰动开始倒下，问： 快接触地面时的角速度 快接触地面时的质心速度 P……

120分钟满分100，闭卷。手写代码C++。 P1 (10pts) public protected private成员对（类内部、子类、外部、友元）的可见性？ P2 (15pts) 有形如这样的单链表： struct Node{int data; Node* link;} 满足data在链表上严格递增。 给出两个链表头first和second，判断这两……

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大家好，这里是潜水已久的Zzzyt。虽然高考已经烂完了，NJU上不了一点，但是综评已经交了钱，不得不品尝，当作旅游罢了。 笔者报考的是 特长类 计算机科学与技术 笔者考场应到36人，实到28人。计科似乎有三个考场。 试题回忆 去年真题传送门 居然改题型，狡猾！！题目……

思考题 from Maths homework again... 数学小题两道 Problem A You are given a bipartite graph G, find a proper coloring of the complement of G that uses minimum colors. |G|\leq 100 Problem B Given integer N. Find any n\geq N such that n+\varphi(n) is ……