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3 June 2023
- 17:5917:59, 3 June 2023 diff hist +16 概率论与数理统计 (Spring 2023)/OST and applications →赌徒破产
- 17:5817:58, 3 June 2023 diff hist +21 概率论与数理统计 (Spring 2023)/OST and applications →可选停时定理(OST)
- 17:5817:58, 3 June 2023 diff hist +9 概率论与数理统计 (Spring 2023)/OST and applications →可选停时定理
- 17:5017:50, 3 June 2023 diff hist +16 概率论与数理统计 (Spring 2023)/OST and applications →模式匹配的平均等待时间
- 17:4817:48, 3 June 2023 diff hist +27 概率论与数理统计 (Spring 2023)/OST and applications →模式匹配的平均等待时间
- 17:4817:48, 3 June 2023 diff hist +33 概率论与数理统计 (Spring 2023)/OST and applications →模式匹配的平均等待时间
- 17:4617:46, 3 June 2023 diff hist +8 概率论与数理统计 (Spring 2023)/OST and applications →模式匹配的平均等待时间
- 17:4317:43, 3 June 2023 diff hist 0 概率论与数理统计 (Spring 2023)/OST and applications →模式匹配的平均等待时间
- 17:4017:40, 3 June 2023 diff hist +1 概率论与数理统计 (Spring 2023)/OST and applications No edit summary
- 17:3917:39, 3 June 2023 diff hist +6 概率论与数理统计 (Spring 2023)/OST and applications No edit summary
- 17:3817:38, 3 June 2023 diff hist +55 概率论与数理统计 (Spring 2023)/OST and applications No edit summary
- 17:3717:37, 3 June 2023 diff hist +4 概率论与数理统计 (Spring 2023)/OST and applications →可选停时定理
- 17:2817:28, 3 June 2023 diff hist −16 概率论与数理统计 (Spring 2023)/OST and applications →模式匹配的平均等待时间
- 17:2617:26, 3 June 2023 diff hist −46 概率论与数理统计 (Spring 2023)/OST and applications →模式匹配的平均等待时间
- 17:2317:23, 3 June 2023 diff hist +15 概率论与数理统计 (Spring 2023)/OST and applications →模式匹配的平均等待时间
- 17:2117:21, 3 June 2023 diff hist +4 概率论与数理统计 (Spring 2023)/OST and applications →模式匹配的平均等待时间
- 17:1917:19, 3 June 2023 diff hist 0 概率论与数理统计 (Spring 2023)/OST and applications →模式匹配的平均等待时间
- 17:1517:15, 3 June 2023 diff hist +115 概率论与数理统计 (Spring 2023)/OST and applications →模式匹配的平均等待时间
- 17:1217:12, 3 June 2023 diff hist +2 概率论与数理统计 (Spring 2023)/OST and applications →模式匹配的平均等待时间
- 17:1117:11, 3 June 2023 diff hist +2 概率论与数理统计 (Spring 2023)/OST and applications →模式匹配的平均等待时间
- 17:1117:11, 3 June 2023 diff hist +85 概率论与数理统计 (Spring 2023)/OST and applications →模式匹配的平均等待时间
- 17:1017:10, 3 June 2023 diff hist +6 概率论与数理统计 (Spring 2023)/OST and applications →模式匹配的平均等待时间
- 17:0917:09, 3 June 2023 diff hist −20 概率论与数理统计 (Spring 2023)/OST and applications →模式匹配的平均等待时间
- 17:0717:07, 3 June 2023 diff hist +71 概率论与数理统计 (Spring 2023)/OST and applications →模式匹配的平均等待时间
- 17:0517:05, 3 June 2023 diff hist +170 概率论与数理统计 (Spring 2023)/OST and applications →模式匹配的平均等待时间
- 17:0417:04, 3 June 2023 diff hist +154 概率论与数理统计 (Spring 2023)/OST and applications →模式匹配的平均等待时间
- 16:5916:59, 3 June 2023 diff hist +4 概率论与数理统计 (Spring 2023)/OST and applications →模式匹配的平均等待时间
- 16:5816:58, 3 June 2023 diff hist +6 概率论与数理统计 (Spring 2023)/OST and applications →模式匹配的平均等待时间
- 16:5816:58, 3 June 2023 diff hist +341 概率论与数理统计 (Spring 2023)/OST and applications →模式匹配的平均等待时间
- 16:5216:52, 3 June 2023 diff hist +1,346 概率论与数理统计 (Spring 2023)/OST and applications →模式匹配的平均等待时间
- 16:1216:12, 3 June 2023 diff hist +644 概率论与数理统计 (Spring 2023)/OST and applications No edit summary
- 16:0516:05, 3 June 2023 diff hist +324 概率论与数理统计 (Spring 2023)/OST and applications →模式匹配的平均等待时间
- 15:5515:55, 3 June 2023 diff hist +145 概率论与数理统计 (Spring 2023)/OST and applications →模式匹配的平均等待时间
- 15:5115:51, 3 June 2023 diff hist +2 概率论与数理统计 (Spring 2023)/OST and applications →模式匹配的平均等待时间
- 15:5015:50, 3 June 2023 diff hist +578 概率论与数理统计 (Spring 2023)/OST and applications →模式匹配的平均等待时间
- 15:4215:42, 3 June 2023 diff hist +2,457 概率论与数理统计 (Spring 2023)/OST and applications →模式匹配的平均等待时间
- 14:5114:51, 3 June 2023 diff hist +1,214 概率论与数理统计 (Spring 2023)/OST and applications →模式匹配的平均等待时间
- 14:2014:20, 3 June 2023 diff hist +16 概率论与数理统计 (Spring 2023)/OST and applications →可选停时定理
- 14:1814:18, 3 June 2023 diff hist +3 概率论与数理统计 (Spring 2023)/OST and applications →可选停时定理
- 14:1714:17, 3 June 2023 diff hist −1 概率论与数理统计 (Spring 2023)/OST and applications →可选停时定理
- 14:0814:08, 3 June 2023 diff hist +165 概率论与数理统计 (Spring 2023)/OST and applications →可选停时定理
- 14:0614:06, 3 June 2023 diff hist 0 概率论与数理统计 (Spring 2023)/OST and applications →可选停时定理
- 14:0514:05, 3 June 2023 diff hist +248 概率论与数理统计 (Spring 2023)/OST and applications →可选停时定理
- 14:0314:03, 3 June 2023 diff hist +24 概率论与数理统计 (Spring 2023)/OST and applications →可选停时定理
- 14:0214:02, 3 June 2023 diff hist +20 概率论与数理统计 (Spring 2023)/OST and applications →可选停时定理
- 14:0114:01, 3 June 2023 diff hist +3,088 N 概率论与数理统计 (Spring 2023)/OST and applications Created page with "=可选停时定理= '''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| :令 <ma..."
- 13:1113:11, 3 June 2023 diff hist +88 概率论与数理统计 (Spring 2023) →Lectures
- 13:0613:06, 3 June 2023 diff hist +1 概率论与数理统计 (Spring 2023) →Lectures
- 13:0613:06, 3 June 2023 diff hist −18 概率论与数理统计 (Spring 2023) →Lectures
- 13:0213:02, 3 June 2023 diff hist +157 概率论与数理统计 (Spring 2023) →Lectures
- 11:5511:55, 3 June 2023 diff hist +174 组合数学 (Spring 2023) →Concepts
- 11:5311:53, 3 June 2023 diff hist +678 组合数学 (Spring 2023) →Concepts
- 11:5111:51, 3 June 2023 diff hist −60 组合数学 (Fall 2023)/Matching theory →Flow and Cut
- 11:4411:44, 3 June 2023 diff hist +34,136 N 组合数学 (Fall 2023)/Matching theory Created page with "== Systems of Distinct Representatives (SDR)== A '''system of distinct representatives (SDR)''' (also called a '''transversal''') for a sequence of (not necessarily distinct) sets <math>S_1,S_2,\ldots,S_m</math> is a sequence of <font color=red>''distinct''</font> elements <math>x_1,x_2,\ldots,x_m</math> such that <math>x_i\in S_i</math> for all <math>i=1,2,\ldots,m</math>. === Hall's marriage theorem === If the sets <math>S_1,S_2,\ldots,S_m</math> have a system of dist..."
- 11:4311:43, 3 June 2023 diff hist +142 组合数学 (Spring 2023) →Lecture Notes
2 June 2023
- 16:2216:22, 2 June 2023 diff hist −106 概率论与数理统计 (Spring 2023) →Lectures Tag: Manual revert
- 16:1016:10, 2 June 2023 diff hist +106 概率论与数理统计 (Spring 2023) →Lectures Tag: Reverted
- 12:4512:45, 2 June 2023 diff hist −106 概率论与数理统计 (Spring 2023) →Lectures Tag: Manual revert
- 12:3812:38, 2 June 2023 diff hist +106 概率论与数理统计 (Spring 2023) →Lectures Tag: Reverted
31 May 2023
- 14:3914:39, 31 May 2023 diff hist +38 概率论与数理统计 (Spring 2023) →Concepts
- 14:3914:39, 31 May 2023 diff hist +598 概率论与数理统计 (Spring 2023) →Concepts
30 May 2023
- 15:4015:40, 30 May 2023 diff hist +67 概率论与数理统计 (Spring 2023) →Lectures
26 May 2023
- 12:1412:14, 26 May 2023 diff hist +167 组合数学 (Fall 2023)/Ramsey theory →Linial's lower bound for local computation current
- 12:1212:12, 26 May 2023 diff hist +169 组合数学 (Fall 2023)/Ramsey theory →Linial's lower bound for local computation
- 12:0212:02, 26 May 2023 diff hist +84 组合数学 (Fall 2023)/Ramsey theory →Linial's lower bound for local computation
- 12:0112:01, 26 May 2023 diff hist +10 组合数学 (Fall 2023)/Ramsey theory →Linial's lower bound for local computation
- 12:0012:00, 26 May 2023 diff hist +1 组合数学 (Fall 2023)/Ramsey theory →Linial's lower bound for local computation
- 11:5911:59, 26 May 2023 diff hist −60 组合数学 (Fall 2023)/Ramsey theory →Linial's lower bound for local computation
- 11:5711:57, 26 May 2023 diff hist +21 组合数学 (Fall 2023)/Ramsey theory →Linial's lower bound for local computation
- 11:5611:56, 26 May 2023 diff hist +8 组合数学 (Fall 2023)/Ramsey theory →Linial's lower bound for local computation
- 11:5611:56, 26 May 2023 diff hist +4,956 组合数学 (Fall 2023)/Ramsey theory →Linial's lower bound for local computation
- 10:4010:40, 26 May 2023 diff hist +52 组合数学 (Fall 2023)/Ramsey theory →Applications of Ramsey Theorem
- 10:0910:09, 26 May 2023 diff hist −18 组合数学 (Fall 2023)/Ramsey theory →Yao's lower bound on implicit data structures
- 10:0910:09, 26 May 2023 diff hist +186 组合数学 (Fall 2023)/Ramsey theory →Yao's lower bound on implicit data structures
- 10:0710:07, 26 May 2023 diff hist +331 组合数学 (Fall 2023)/Ramsey theory →Yao's lower bound on implicit data structures
- 09:5809:58, 26 May 2023 diff hist +32 组合数学 (Fall 2023)/Ramsey theory →Yao's lower bound on implicit data structures
- 09:5609:56, 26 May 2023 diff hist +2 组合数学 (Fall 2023)/Ramsey theory →Yao's lower bound on implicit data structures
- 09:5509:55, 26 May 2023 diff hist +244 组合数学 (Fall 2023)/Ramsey theory →Yao's lower bound on implicit data structures
- 09:3409:34, 26 May 2023 diff hist −2 组合数学 (Fall 2023)/Ramsey theory →Yao's lower bound on implicit data structures
- 07:5507:55, 26 May 2023 diff hist −30 组合数学 (Fall 2023)/Ramsey theory →Yao's lower bound on implicit data structures
- 07:5407:54, 26 May 2023 diff hist +21 组合数学 (Fall 2023)/Ramsey theory →Yao's lower bound on implicit data structures
- 07:5207:52, 26 May 2023 diff hist +1,626 组合数学 (Fall 2023)/Ramsey theory →Yao's lower bound on implicit data structures
- 07:3307:33, 26 May 2023 diff hist −5 组合数学 (Fall 2023)/Ramsey theory →Yao's lower bound on implicit data structures
- 07:3207:32, 26 May 2023 diff hist +11 组合数学 (Fall 2023)/Ramsey theory →Yao's lower bound on implicit data structures
- 07:3107:31, 26 May 2023 diff hist +1,349 组合数学 (Fall 2023)/Ramsey theory →Yao's lower bound on implicit data structures
- 07:1207:12, 26 May 2023 diff hist +936 组合数学 (Fall 2023)/Ramsey theory →Yao's lower bound on implicit data structures
- 06:4006:40, 26 May 2023 diff hist +203 组合数学 (Spring 2023) →Concepts
- 06:3906:39, 26 May 2023 diff hist +15,938 N 组合数学 (Fall 2023)/Ramsey theory 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..."
- 06:3806:38, 26 May 2023 diff hist +138 组合数学 (Spring 2023) →Lecture Notes
25 May 2023
- 04:4304:43, 25 May 2023 diff hist −4 概率论与数理统计 (Spring 2023)/Hoeffding's lemma No edit summary current
- 04:4204:42, 25 May 2023 diff hist +10 概率论与数理统计 (Spring 2023)/Hoeffding's lemma No edit summary
- 04:4104:41, 25 May 2023 diff hist +32 概率论与数理统计 (Spring 2023)/Hoeffding's lemma No edit summary
- 04:4004:40, 25 May 2023 diff hist +29 概率论与数理统计 (Spring 2023)/Hoeffding's lemma No edit summary
- 04:3904:39, 25 May 2023 diff hist +11 概率论与数理统计 (Spring 2023)/Hoeffding's lemma No edit summary
- 04:2904:29, 25 May 2023 diff hist −12 概率论与数理统计 (Spring 2023)/Hoeffding's lemma No edit summary
- 04:2804:28, 25 May 2023 diff hist +1 概率论与数理统计 (Spring 2023)/Hoeffding's lemma No edit summary
- 04:2704:27, 25 May 2023 diff hist +40 概率论与数理统计 (Spring 2023)/Hoeffding's lemma No edit summary
24 May 2023
- 20:2120:21, 24 May 2023 diff hist +3 概率论与数理统计 (Spring 2023)/Hoeffding's lemma No edit summary
- 20:2120:21, 24 May 2023 diff hist 0 概率论与数理统计 (Spring 2023)/Hoeffding's lemma No edit summary
- 20:1820:18, 24 May 2023 diff hist +4 概率论与数理统计 (Spring 2023)/Hoeffding's lemma No edit summary
- 20:1720:17, 24 May 2023 diff hist +6 概率论与数理统计 (Spring 2023)/Hoeffding's lemma No edit summary
- 20:1620:16, 24 May 2023 diff hist +9 概率论与数理统计 (Spring 2023)/Hoeffding's lemma No edit summary
- 20:1620:16, 24 May 2023 diff hist −144 概率论与数理统计 (Spring 2023)/Hoeffding's lemma No edit summary
- 20:1520:15, 24 May 2023 diff hist +741 概率论与数理统计 (Spring 2023)/Hoeffding's lemma No edit summary
- 20:0820:08, 24 May 2023 diff hist +3,913 N 概率论与数理统计 (Spring 2023)/Hoeffding's lemma 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..."
- 18:5518:55, 24 May 2023 diff hist +82 概率论与数理统计 (Spring 2023) →Lectures
- 16:1316:13, 24 May 2023 diff hist +24 概率论与数理统计 (Spring 2023) →Assignments
- 16:1116:11, 24 May 2023 diff hist −33 概率论与数理统计 (Spring 2023)/Problem Set 4 No edit summary
- 16:0116:01, 24 May 2023 diff hist +3 概率论与数理统计 (Spring 2023)/Entropy and volume of Hamming balls No edit summary current
- 15:5215:52, 24 May 2023 diff hist −27 概率论与数理统计 (Spring 2023)/Entropy and volume of Hamming balls No edit summary
- 15:4115:41, 24 May 2023 diff hist +3 概率论与数理统计 (Spring 2023)/Entropy and volume of Hamming balls No edit summary
- 15:4115:41, 24 May 2023 diff hist +9 概率论与数理统计 (Spring 2023)/Entropy and volume of Hamming balls No edit summary
- 15:4015:40, 24 May 2023 diff hist +64 概率论与数理统计 (Spring 2023)/Entropy and volume of Hamming balls No edit summary
- 15:3815:38, 24 May 2023 diff hist −3 概率论与数理统计 (Spring 2023)/Entropy and volume of Hamming balls No edit summary
- 15:2615:26, 24 May 2023 diff hist −3 概率论与数理统计 (Spring 2023)/Entropy and volume of Hamming balls No edit summary
- 15:2515:25, 24 May 2023 diff hist +30 概率论与数理统计 (Spring 2023)/Entropy and volume of Hamming balls No edit summary
- 15:2215:22, 24 May 2023 diff hist +23 概率论与数理统计 (Spring 2023)/Entropy and volume of Hamming balls No edit summary
- 15:2115:21, 24 May 2023 diff hist +20 概率论与数理统计 (Spring 2023)/Entropy and volume of Hamming balls No edit summary
- 15:2015:20, 24 May 2023 diff hist +250 概率论与数理统计 (Spring 2023)/Entropy and volume of Hamming balls No edit summary
- 15:1215:12, 24 May 2023 diff hist +7 概率论与数理统计 (Spring 2023)/Entropy and volume of Hamming balls No edit summary
- 15:1115:11, 24 May 2023 diff hist +6 概率论与数理统计 (Spring 2023)/Entropy and volume of Hamming balls No edit summary
- 15:1015:10, 24 May 2023 diff hist −24 概率论与数理统计 (Spring 2023)/Entropy and volume of Hamming balls No edit summary
- 15:1015:10, 24 May 2023 diff hist +54 概率论与数理统计 (Spring 2023)/Entropy and volume of Hamming balls No edit summary
- 15:0815:08, 24 May 2023 diff hist +2 概率论与数理统计 (Spring 2023)/Entropy and volume of Hamming balls No edit summary
- 15:0815:08, 24 May 2023 diff hist +6 概率论与数理统计 (Spring 2023)/Entropy and volume of Hamming balls No edit summary
- 15:0815:08, 24 May 2023 diff hist +2 概率论与数理统计 (Spring 2023)/Entropy and volume of Hamming balls No edit summary
- 15:0715:07, 24 May 2023 diff hist +3 概率论与数理统计 (Spring 2023)/Entropy and volume of Hamming balls No edit summary
- 15:0715:07, 24 May 2023 diff hist +4 概率论与数理统计 (Spring 2023)/Entropy and volume of Hamming balls No edit summary
- 15:0615:06, 24 May 2023 diff hist +3 概率论与数理统计 (Spring 2023)/Entropy and volume of Hamming balls No edit summary
- 15:0515:05, 24 May 2023 diff hist +1,335 概率论与数理统计 (Spring 2023)/Entropy and volume of Hamming balls No edit summary
- 14:4614:46, 24 May 2023 diff hist +186 概率论与数理统计 (Spring 2023)/Entropy and volume of Hamming balls No edit summary
- 14:4414:44, 24 May 2023 diff hist +616 概率论与数理统计 (Spring 2023)/Entropy and volume of Hamming balls No edit summary
- 13:4713:47, 24 May 2023 diff hist 0 概率论与数理统计 (Spring 2023)/Entropy and volume of Hamming balls No edit summary
- 13:4313:43, 24 May 2023 diff hist +7 概率论与数理统计 (Spring 2023)/Entropy and volume of Hamming balls No edit summary
- 13:4213:42, 24 May 2023 diff hist +423 概率论与数理统计 (Spring 2023)/Entropy and volume of Hamming balls No edit summary
- 13:3213:32, 24 May 2023 diff hist −6 概率论与数理统计 (Spring 2023)/Entropy and volume of Hamming balls No edit summary
- 13:3113:31, 24 May 2023 diff hist +62 概率论与数理统计 (Spring 2023)/Entropy and volume of Hamming balls No edit summary
- 13:2913:29, 24 May 2023 diff hist +1,089 概率论与数理统计 (Spring 2023)/Entropy and volume of Hamming balls No edit summary
- 13:1113:11, 24 May 2023 diff hist +1 概率论与数理统计 (Spring 2023)/Entropy and volume of Hamming balls No edit summary
- 13:1113:11, 24 May 2023 diff hist +1,198 概率论与数理统计 (Spring 2023)/Entropy and volume of Hamming balls No edit summary
- 12:2712:27, 24 May 2023 diff hist +1,246 N 概率论与数理统计 (Spring 2023)/Entropy and volume of Hamming balls 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_{1\le k\le 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;..."
- 12:0312:03, 24 May 2023 diff hist +36 概率论与数理统计 (Spring 2023) →Lectures
- 12:0212:02, 24 May 2023 diff hist +82 概率论与数理统计 (Spring 2023) →Lectures
23 May 2023
- 14:2314:23, 23 May 2023 diff hist +87 概率论与数理统计 (Spring 2023) →Concepts
- 10:1210:12, 23 May 2023 diff hist +18 概率论与数理统计 (Spring 2023)/Problem Set 4 →Problem 3 (LLN and CLT, 15 points + 5 points)
- 10:1010:10, 23 May 2023 diff hist +1 概率论与数理统计 (Spring 2023)/Problem Set 4 →Problem 4 (Concentration of measure)
- 10:0910:09, 23 May 2023 diff hist −1 概率论与数理统计 (Spring 2023)/Problem Set 4 →Problem 3 (LLN and CLT, 15 points + 5 points)
- 10:0710:07, 23 May 2023 diff hist −1 概率论与数理统计 (Spring 2023)/Problem Set 4 →Problem 4 (Concentration of measure)
- 10:0410:04, 23 May 2023 diff hist +38 概率论与数理统计 (Spring 2023)/Problem Set 4 →Problem 4 (Concentration of measure)
22 May 2023
- 12:5012:50, 22 May 2023 diff hist 0 概率论与数理统计 (Spring 2023) →Lectures
- 12:5012:50, 22 May 2023 diff hist +9 概率论与数理统计 (Spring 2023) →Lectures
- 12:3912:39, 22 May 2023 diff hist 0 概率论与数理统计 (Spring 2023) →Lectures
- 09:2409:24, 22 May 2023 diff hist 0 随机算法 (Spring 2014)/Expander Graphs and Mixing →Total Variation Distance and Mixing Time current
- 09:2309:23, 22 May 2023 diff hist +2 随机算法 (Spring 2014)/Expander Graphs and Mixing →Spectral approach for symmetric chain
- 09:2309:23, 22 May 2023 diff hist +17 随机算法 (Spring 2014)/Expander Graphs and Mixing →Mixing Time
- 09:2109:21, 22 May 2023 diff hist +3,910 随机算法 (Spring 2014)/Expander Graphs and Mixing No edit summary
21 May 2023
- 13:0213:02, 21 May 2023 diff hist +31 概率论与数理统计 (Spring 2023) →Lectures
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- 12:3612:36, 21 May 2023 diff hist +84 组合数学 (Spring 2023) →Concepts
- 12:3412:34, 21 May 2023 diff hist +453 组合数学 (Spring 2023) →Concepts
- 12:2912:29, 21 May 2023 diff hist +315 组合数学 (Spring 2023) →Lecture Notes
- 12:2312:23, 21 May 2023 diff hist +15 组合数学 (Fall 2023)/Extremal set theory →The Kruskal–Katona theorem current
- 12:1812:18, 21 May 2023 diff hist +4 组合数学 (Fall 2023)/Extremal set theory →k-cascade representation of a number
- 12:1712:17, 21 May 2023 diff hist −9 组合数学 (Fall 2023)/Extremal set theory →k-cascade representation of a number
- 12:1612:16, 21 May 2023 diff hist +18,305 组合数学 (Fall 2023)/Extremal set theory No edit summary
- 12:1412:14, 21 May 2023 diff hist +33,145 N 组合数学 (Fall 2023)/Extremal set theory Created page with "== Sunflowers == An set system is a '''sunflower''' if all its member sets intersect at the same set of elements. {{Theorem|Definition (sunflower)| : A set family <math>\mathcal{F}\subseteq 2^X</math> is a '''sunflower''' of size <math>r</math> with a '''core''' <math>C\subseteq X</math> if ::<math>\forall S,T\in\mathcal{F}</math> that <math>S\neq T</math>, <math>S\cap T=C</math>. }} Note that we do not require the core to be nonempty, thus a family of disjoint sets is..."
- 12:1312:13, 21 May 2023 diff hist +159 组合数学 (Spring 2023) →Lecture Notes
15 May 2023
- 11:0311:03, 15 May 2023 diff hist +58 概率论与数理统计 (Spring 2023) →Concepts
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- 08:5308:53, 15 May 2023 diff hist +16 概率论与数理统计 (Spring 2023) →Lectures Tag: Reverted
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- 06:3506:35, 15 May 2023 diff hist +4 组合数学 (Spring 2023) →Lecture Notes
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11 May 2023
- 10:5710:57, 11 May 2023 diff hist +1,772 组合数学 (Spring 2023) →Concepts
10 May 2023
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5 May 2023
- 09:1109:11, 5 May 2023 diff hist +1 组合数学 (Fall 2023)/Problem Set 1 →Problem 1 current
4 May 2023
- 10:5810:58, 4 May 2023 diff hist +103 概率论与数理统计 (Spring 2023) →Concepts
- 10:5710:57, 4 May 2023 diff hist +75 概率论与数理统计 (Spring 2023) →Concepts
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- 09:2309:23, 4 May 2023 diff hist +1 概率论与数理统计 (Spring 2023) →Concepts
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- 08:5508:55, 4 May 2023 diff hist +18,939 N 组合数学 (Fall 2023)/Extremal graph theory Created page with "== Forbidden Cliques == Extremal graph theory studies the problems like "how many edges that a graph <math>G</math> can have, if <math>G</math> has some property?" === Mantel's theorem === We consider a typical extremal problem for graphs: the largest possible number of edges of '''triangle-free''' graphs, i.e. graphs contains no <math>K_3</math>. {{Theorem|Theorem (Mantel 1907)| :Suppose <math>G(V,E)</math> is graph on <math>n</math> vertice without triangles. Then <m..." current
- 08:5408:54, 4 May 2023 diff hist +90 组合数学 (Spring 2023) →Lecture Notes
- 08:5008:50, 4 May 2023 diff hist +149 概率论与数理统计 (Spring 2023) →Lectures
28 April 2023
- 14:2214:22, 28 April 2023 diff hist +64 组合数学 (Spring 2023) →Lecture Notes
27 April 2023
- 15:5615:56, 27 April 2023 diff hist +7 组合数学 (Fall 2023)/The probabilistic method →Lovász Local Lemma current
- 15:5515:55, 27 April 2023 diff hist +7 组合数学 (Fall 2023)/The probabilistic method →Lovász Local Lemma
- 15:5515:55, 27 April 2023 diff hist +10 组合数学 (Fall 2023)/The probabilistic method →Lovász Local Lemma
- 15:5315:53, 27 April 2023 diff hist −2 组合数学 (Fall 2023)/The probabilistic method →Coloring large-girth graphs
- 15:5315:53, 27 April 2023 diff hist +27,129 N 组合数学 (Fall 2023)/The probabilistic method Created page with "== The Probabilistic Method == The probabilistic method provides another way of proving the existence of objects: instead of explicitly constructing an object, we define a probability space of objects in which the probability is positive that a randomly selected object has the required property. The basic principle of the probabilistic method is very simple, and can be stated in intuitive ways: *If an object chosen randomly from a universe satisfies a property with posi..."
- 15:5215:52, 27 April 2023 diff hist +93 组合数学 (Spring 2023) →Lecture Notes
25 April 2023
- 15:2915:29, 25 April 2023 diff hist +750 概率论与数理统计 (Spring 2023) →Concepts
21 April 2023
- 12:1112:11, 21 April 2023 diff hist +63 组合数学 (Spring 2023) →Lecture Notes
19 April 2023
- 04:2904:29, 19 April 2023 diff hist +193 概率论与数理统计 (Spring 2023)/Threshold of k-clique in random graph →二阶矩方法 current
18 April 2023
- 17:1117:11, 18 April 2023 diff hist −24 概率论与数理统计 (Spring 2023)/Threshold of k-clique in random graph →一阶矩方法
- 17:1117:11, 18 April 2023 diff hist −85 概率论与数理统计 (Spring 2023)/Threshold of k-clique in random graph →一阶矩方法
- 17:0917:09, 18 April 2023 diff hist +266 概率论与数理统计 (Spring 2023)/Threshold of k-clique in random graph →一阶矩方法
- 17:0517:05, 18 April 2023 diff hist −45 概率论与数理统计 (Spring 2023)/Threshold of k-clique in random graph →一阶矩方法
- 17:0217:02, 18 April 2023 diff hist +9 概率论与数理统计 (Spring 2023)/Threshold of k-clique in random graph →一阶矩方法
- 17:0117:01, 18 April 2023 diff hist +322 概率论与数理统计 (Spring 2023)/Threshold of k-clique in random graph →一阶矩方法
- 16:4916:49, 18 April 2023 diff hist +119 概率论与数理统计 (Spring 2023) →Lectures
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- 16:0116:01, 18 April 2023 diff hist +3 概率论与数理统计 (Spring 2023)/Threshold of k-clique in random graph →二阶矩方法
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- 15:4615:46, 18 April 2023 diff hist +39 概率论与数理统计 (Spring 2023)/Threshold of k-clique in random graph →一阶矩方法
- 15:4315:43, 18 April 2023 diff hist +4 概率论与数理统计 (Spring 2023)/Threshold of k-clique in random graph →二阶矩方法
- 15:4215:42, 18 April 2023 diff hist +4 概率论与数理统计 (Spring 2023)/Threshold of k-clique in random graph →二阶矩方法
- 14:1514:15, 18 April 2023 diff hist +2 概率论与数理统计 (Spring 2023)/Threshold of k-clique in random graph No edit summary
- 14:1414:14, 18 April 2023 diff hist +12 概率论与数理统计 (Spring 2023)/Threshold of k-clique in random graph →二阶矩方法
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- 14:0914:09, 18 April 2023 diff hist +47 概率论与数理统计 (Spring 2023)/Threshold of k-clique in random graph →二阶矩方法
- 14:0614:06, 18 April 2023 diff hist +54 概率论与数理统计 (Spring 2023)/Threshold of k-clique in random graph →二阶矩方法
- 13:5913:59, 18 April 2023 diff hist +151 概率论与数理统计 (Spring 2023)/Threshold of k-clique in random graph →二阶矩方法
- 13:5113:51, 18 April 2023 diff hist +9 概率论与数理统计 (Spring 2023)/Threshold of k-clique in random graph →二阶矩方法
- 13:4813:48, 18 April 2023 diff hist +24 概率论与数理统计 (Spring 2023)/Threshold of k-clique in random graph →二阶矩方法
- 13:4713:47, 18 April 2023 diff hist −12 概率论与数理统计 (Spring 2023)/Threshold of k-clique in random graph →二阶矩方法
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- 13:4513:45, 18 April 2023 diff hist −56 概率论与数理统计 (Spring 2023)/Threshold of k-clique in random graph →二阶矩方法
- 13:4313:43, 18 April 2023 diff hist −12 概率论与数理统计 (Spring 2023)/Threshold of k-clique in random graph →一阶矩方法 Tag: Manual revert
- 13:4313:43, 18 April 2023 diff hist +12 概率论与数理统计 (Spring 2023)/Threshold of k-clique in random graph No edit summary Tag: Reverted
- 13:4213:42, 18 April 2023 diff hist +393 概率论与数理统计 (Spring 2023)/Threshold of k-clique in random graph No edit summary
- 12:5612:56, 18 April 2023 diff hist +14,440 N 组合数学 (Fall 2023)/Existence problems Created page with "== Existence by Counting == === Shannon's circuit lower bound=== This is a fundamental problem in in Computer Science. A '''boolean function''' is a function in the form <math>f:\{0,1\}^n\rightarrow \{0,1\}</math>. [http://en.wikipedia.org/wiki/Boolean_circuit Boolean circuit] is a mathematical model of computation. Formally, a boolean circuit is a directed acyclic graph. Nodes with indegree zero are input nodes, labeled <math>x_1, x_2, \ldots , x_n</math>. A circuit h..." current
- 12:5512:55, 18 April 2023 diff hist +87 组合数学 (Spring 2023) →Lecture Notes
- 12:5312:53, 18 April 2023 diff hist 0 概率论与数理统计 (Spring 2023)/Weierstrass Approximation Theorem No edit summary current
- 12:5112:51, 18 April 2023 diff hist −2 概率论与数理统计 (Spring 2023)/Weierstrass Approximation Theorem No edit summary
- 11:5311:53, 18 April 2023 diff hist 0 概率论与数理统计 (Spring 2023) →Lectures
- 11:4911:49, 18 April 2023 diff hist 0 概率论与数理统计 (Spring 2023)/Threshold of k-clique in random graph →二阶矩方法
- 11:4911:49, 18 April 2023 diff hist +20 概率论与数理统计 (Spring 2023)/Threshold of k-clique in random graph →二阶矩方法