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Show new changes starting from 13:26, 1 June 2024
   
 
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31 May 2024

     14:20  计算理论之美 (Summer 2024) diffhist +3 Liuexp talk contribs (→‎Tentative Topics)

29 May 2024

     15:06  计算理论之美 (Summer 2024)‎‎ 3 changes history +613 [Liuexp‎ (3×)]
     
15:06 (cur | prev) +6 Liuexp talk contribs
     
15:04 (cur | prev) +52 Liuexp talk contribs
     
15:01 (cur | prev) +555 Liuexp talk contribs
     13:51  计算方法 Numerical method (Spring 2024)‎‎ 3 changes history +200 [Kvrmnks‎; Liuexp‎ (2×)]
     
13:51 (cur | prev) 0 Liuexp talk contribs (→‎Lecture Notes)
     
05:59 (cur | prev) +95 Kvrmnks talk contribs (→‎Assignments)
     
05:05 (cur | prev) +105 Liuexp talk contribs (→‎Lecture Notes)
     12:33  组合数学 (Spring 2024)‎‎ 4 changes history +1,444 [Etone‎ (4×)]
     
12:33 (cur | prev) +1,308 Etone talk contribs (→‎Concepts)
     
12:14 (cur | prev) −1 Etone talk contribs (→‎Lecture Notes)
     
12:14 (cur | prev) +138 Etone talk contribs (→‎Lecture Notes)
     
12:13 (cur | prev) −1 Etone talk contribs (→‎Lecture Notes)
N    12:14  组合数学 (Fall 2024)/Ramsey theory diffhist +26,029 Etone talk contribs (Created page with "== Ramsey's Theorem == === Ramsey's theorem for graph === {{Theorem|Ramsey's Theorem| :Let <math>k,\ell</math> be positive integers. Then there exists an integer <math>R(k,\ell)</math> satisfying: :If <math>n\ge R(k,\ell)</math>, for any coloring of edges of <math>K_n</math> with two colors red and blue, there exists a red <math>K_k</math> or a blue <math>K_\ell</math>. }} {{Proof| We show that <math>R(k,\ell)</math> is finite by induction on <math>k+\ell</math>. For the...")
N    06:18  计算方法 Numerical method (Spring 2024)/Homework6 提交名单 diffhist +2,036 Kvrmnks talk contribs (Created page with " 如有错漏请邮件联系助教. <center> {| class="wikitable" |- ! 学号 !! 姓名 |- | 191240047 || 孙宇飞 |- | 201240036 || 钱儒凡 |- | 201240090 || 陈诺星 |- | 211240013 || 李昀芃 |- | 211240020 || 朱睿骐 |- | 211240035 || 王祉天 |- | 211294003 || 倪昀 |- | 221180133 || 黄可唯 |- | 221220002 || 沈均文 |- | 221220003 || 林涵坤 |- | 221220019 || 洪观澜 |- | 221220027 || 蒋宇阳 |- | 221220029 || 陈俊翰 |- | 22122003...")
     04:02  概率论与数理统计 (Spring 2024)/Problem Set 4 diffhist +10 Zhangxy talk contribs (→‎Problem 4 (LLN and CLT, 15 points + 10 points))

28 May 2024

     17:00  计算方法 Numerical method (Spring 2024) diffhist +174 Houzhe talk contribs (→‎Assignments) Tag: Visual edit: Switched
     16:58  File:Homework7.pdf diffhist +30 Houzhe talk contribs Tag: Visual edit: Switched
     07:58  计算理论之美 (Summer 2024) diffhist +437 Liuexp talk contribs
N    01:33  概率论与数理统计 (Spring 2024)/Entropy and volume of Hamming balls diffhist +6,589 Etone talk contribs (Created page with "在求解抛掷公平硬币(fair coin)的尾概率时,我们经常会需要分析如下二项式系数求和: :<math>\sum_{k=0}^r{n\choose k}</math>,对于某个<math>1\le r\le n</math> 这其实等价与求一个 <math>n</math> 维汉明空间中半径为 <math>r</math> 的球的体积。 :{|border="2" width="100%" cellspacing="4" cellpadding="3" rules="all" style="margin:1em 1em 1em 0; border:solid 1px #AAAAAA; border-collapse:collapse;empty-cells:show;" | :'...")
     01:32  概率论与数理统计 (Spring 2024) diffhist +118 Etone talk contribs (→‎Lectures)

26 May 2024

N    02:59  概率论与数理统计 (Spring 2024)/OST and applications diffhist +18,855 Etone talk contribs (Created page with "=可选停时定理 (OST)= '''可选停时定理''' ('''Optional Stopping Theorem''', '''OST'''),有事也被称为'''鞅停时定理''' ('''Martingale Stopping Theorem''')、'''可选抽样定理''' ('''Optional Sampling Theorem''') 等,是约瑟夫·杜布 ([https://en.wikipedia.org/wiki/Joseph_L._Doob Joseph Doob]) 发现的关于鞅的停时的刻画定理。 首先定义鞅 (martingale)。这是一类由公平赌博定义的随机过程。 {{Theorem|定义(...")
N    02:59  概率论与数理统计 (Spring 2024)/Hoeffding's lemma diffhist +4,639 Etone talk contribs (Created page with "霍夫丁引理(Hoeffding's lemma)在霍夫丁不等式([https://en.wikipedia.org/wiki/Hoeffding%27s_inequality Hoeffding's inequality])的证明中,扮演着关键角色。该引理陈述如下: {{Theorem|霍夫丁引理| :若随机变量 <math>Y</math> 满足 <math>\mathbb{E}[Y]=0</math> 且存在实数 <math>a,b\in\mathbb{R}</math> 使得几乎必然地 (a.s.) <math>a\le Y\le b</math>,则对于任意 <math>\lambda\in\mathbb{R}</math>,都有 ::<math>\ma...")
     02:58  概率论与数理统计 (Spring 2024) diffhist +576 Etone talk contribs (→‎Lectures)

25 May 2024

     16:22  计算理论之美 (Summer 2023)‎‎ 2 changes history +66 [Liuexp‎ (2×)]
     
16:22 (cur | prev) +57 Liuexp talk contribs
     
16:15 (cur | prev) +9 Liuexp talk contribs
     15:25  计算理论之美 (Summer 2024)‎‎ 3 changes history +265 [Liuexp‎ (3×)]
     
15:25 (cur | prev) +110 Liuexp talk contribs (→‎About Our Summer School)
     
15:02 (cur | prev) +1 Liuexp talk contribs
     
15:02 (cur | prev) +154 Liuexp talk contribs