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17 April 2023
- 16:5216:52, 17 April 2023 diff hist +55 概率论与数理统计 (Spring 2023)/Two-point sampling →两点采样(Two-point sampling)
- 16:5116:51, 17 April 2023 diff hist +26 概率论与数理统计 (Spring 2023)/Two-point sampling →两点采样(Two-point sampling)
- 16:5116:51, 17 April 2023 diff hist +19 概率论与数理统计 (Spring 2023)/Two-point sampling →两点采样(Two-point sampling)
- 16:5016:50, 17 April 2023 diff hist +3 概率论与数理统计 (Spring 2023)/Two-point sampling →两点采样(Two-point sampling)
- 16:4916:49, 17 April 2023 diff hist +5 概率论与数理统计 (Spring 2023)/Two-point sampling →两点采样(Two-point sampling)
- 16:4716:47, 17 April 2023 diff hist +22 概率论与数理统计 (Spring 2023)/Two-point sampling →两点采样(Two-point sampling)
- 16:4616:46, 17 April 2023 diff hist +12 概率论与数理统计 (Spring 2023)/Two-point sampling →两点采样(Two-point sampling)
- 16:4516:45, 17 April 2023 diff hist +69 概率论与数理统计 (Spring 2023)/Two-point sampling →利用线性同余方程构造两两独立的随机变量
- 16:3816:38, 17 April 2023 diff hist 0 概率论与数理统计 (Spring 2023)/Two-point sampling →两点采样(Two-point sampling)
- 16:3816:38, 17 April 2023 diff hist +4 概率论与数理统计 (Spring 2023)/Two-point sampling →两点采样(Two-point sampling)
- 16:3616:36, 17 April 2023 diff hist +3 概率论与数理统计 (Spring 2023)/Two-point sampling No edit summary
- 16:3516:35, 17 April 2023 diff hist −6 概率论与数理统计 (Spring 2023)/Two-point sampling No edit summary
- 16:3416:34, 17 April 2023 diff hist +1 概率论与数理统计 (Spring 2023)/Two-point sampling →两点采样(Two-point sampling)
- 16:3316:33, 17 April 2023 diff hist +6,063 概率论与数理统计 (Spring 2023)/Two-point sampling No edit summary
- 14:5814:58, 17 April 2023 diff hist +2,541 N 概率论与数理统计 (Spring 2023)/Two-point sampling Created page with "= 利用线性同余方程构造两两独立的随机变量 = 令<math>p</math>为一质数。考虑模<math>p</math>余数构成的集合<math>[p]=\{0,1,\ldots,p-1\}=\mathbb{Z}_p</math>。众所周知,当<math>p</math>为质数时,<math>\mathbb{Z}_p</math>为对模<math>p</math>加法和乘法运算闭合的'''有限域'''。 我们现在构造一系列值域为<math>[p]</math>的'''两两独立'''('''pairwise Independent''')且'''均匀分布'''('''uniforml..."
- 12:3112:31, 17 April 2023 diff hist +84 概率论与数理统计 (Spring 2023) →Lectures
16 April 2023
- 15:3915:39, 16 April 2023 diff hist +69 概率论与数理统计 (Spring 2023) →Lectures
14 April 2023
- 13:1213:12, 14 April 2023 diff hist +60 组合数学 (Spring 2023) →Lecture Notes
13 April 2023
- 11:3611:36, 13 April 2023 diff hist +17,231 N 组合数学 (Fall 2023)/Cayley's formula Created page with "== Cayley's Formula == We now present a theorem of the number of labeled trees on a fixed number of vertices. It is due to [http://en.wikipedia.org/wiki/Arthur_Cayley Cayley] in 1889. The theorem is often referred by the name [http://en.wikipedia.org/wiki/Cayley's_formula Cayley's formula]. {{Theorem|Cayley's formula for trees| : There are <math>n^{n-2}</math> different trees on <math>n</math> distinct vertices. }} The theorem has several proofs, including the bijectio..." current
- 11:3611:36, 13 April 2023 diff hist +80 组合数学 (Spring 2023) →Lecture Notes
- 03:2603:26, 13 April 2023 diff hist 0 概率论与数理统计 (Spring 2023)/Average-case analysis of QuickSort →快速排序算法的平均复杂度分析 II(基于期望的线性) current
12 April 2023
- 18:3918:39, 12 April 2023 diff hist −13 概率论与数理统计 (Spring 2023)/Average-case analysis of QuickSort →快速排序算法的平均复杂度分析 II(基于期望的线性)
- 18:3818:38, 12 April 2023 diff hist +547 概率论与数理统计 (Spring 2023)/Average-case analysis of QuickSort →快速排序算法的平均复杂度分析 II(基于期望的线性)
- 18:2518:25, 12 April 2023 diff hist −3 概率论与数理统计 (Spring 2023)/Average-case analysis of QuickSort →快速排序算法的平均复杂度分析 II(基于期望的线性)
- 18:2018:20, 12 April 2023 diff hist +2 概率论与数理统计 (Spring 2023)/Average-case analysis of QuickSort →快速排序算法的平均复杂度分析 I(基于全期望法则)
- 18:2018:20, 12 April 2023 diff hist +55 概率论与数理统计 (Spring 2023)/Average-case analysis of QuickSort →快速排序算法的平均复杂度分析 I(基于全期望法则)
- 18:1718:17, 12 April 2023 diff hist −3 概率论与数理统计 (Spring 2023)/Average-case analysis of QuickSort →快速排序算法的平均复杂度分析 I(基于全期望法则)
- 18:1718:17, 12 April 2023 diff hist +86 概率论与数理统计 (Spring 2023)/Average-case analysis of QuickSort →快速排序算法的平均复杂度分析 I(基于全期望法则)
- 18:1518:15, 12 April 2023 diff hist +43 概率论与数理统计 (Spring 2023)/Average-case analysis of QuickSort →快速排序算法的平均复杂度分析 I(基于全期望法则)
- 18:1418:14, 12 April 2023 diff hist +135 概率论与数理统计 (Spring 2023)/Average-case analysis of QuickSort →快速排序算法的平均复杂度分析 I(基于全期望法则)
- 18:0518:05, 12 April 2023 diff hist +269 概率论与数理统计 (Spring 2023)/Average-case analysis of QuickSort →快速排序算法的平均复杂度分析 I(基于全期望法则)
- 17:5817:58, 12 April 2023 diff hist +5 概率论与数理统计 (Spring 2023)/Average-case analysis of QuickSort →快速排序算法的平均复杂度分析 I(基于全期望法则)
- 15:4615:46, 12 April 2023 diff hist −3 概率论与数理统计 (Spring 2023)/Average-case analysis of QuickSort →快速排序算法的平均复杂度分析 I(基于全期望法则)
- 15:4615:46, 12 April 2023 diff hist −3 概率论与数理统计 (Spring 2023)/Average-case analysis of QuickSort →快速排序算法的平均复杂度分析 II(基于期望的线性)
- 15:4415:44, 12 April 2023 diff hist +7 概率论与数理统计 (Spring 2023)/Average-case analysis of QuickSort →快速排序算法的平均复杂度分析 II(基于期望的线性)
- 15:4315:43, 12 April 2023 diff hist +6 概率论与数理统计 (Spring 2023)/Average-case analysis of QuickSort →快速排序算法的平均复杂度分析 II(基于期望的线性)
- 15:4215:42, 12 April 2023 diff hist +120 概率论与数理统计 (Spring 2023)/Average-case analysis of QuickSort →快速排序算法的平均复杂度分析 II(基于期望的线性)
- 15:4015:40, 12 April 2023 diff hist +3 概率论与数理统计 (Spring 2023)/Average-case analysis of QuickSort →快速排序算法的平均复杂度分析 II(基于期望的线性)
- 15:3915:39, 12 April 2023 diff hist +6 概率论与数理统计 (Spring 2023)/Average-case analysis of QuickSort →快速排序算法的平均复杂度分析 II(基于期望的线性)
- 15:3815:38, 12 April 2023 diff hist −1 概率论与数理统计 (Spring 2023)/Average-case analysis of QuickSort →快速排序算法的平均复杂度分析 II(基于期望的线性)
- 15:3715:37, 12 April 2023 diff hist +3 概率论与数理统计 (Spring 2023)/Average-case analysis of QuickSort →快速排序算法的平均复杂度分析 II(基于期望的线性)
- 15:3715:37, 12 April 2023 diff hist +114 概率论与数理统计 (Spring 2023)/Average-case analysis of QuickSort →快速排序算法的平均复杂度分析 II(基于期望的线性)
- 15:2215:22, 12 April 2023 diff hist +643 概率论与数理统计 (Spring 2023)/Average-case analysis of QuickSort No edit summary
- 14:3414:34, 12 April 2023 diff hist −3 概率论与数理统计 (Spring 2023)/Average-case analysis of QuickSort →快速排序算法的平均复杂度分析 I(基于全期望法则)
- 14:3314:33, 12 April 2023 diff hist 0 概率论与数理统计 (Spring 2023)/Average-case analysis of QuickSort →快速排序算法的平均复杂度分析 II(基于期望的线性)
- 14:2514:25, 12 April 2023 diff hist +2 概率论与数理统计 (Spring 2023)/Average-case analysis of QuickSort →快速排序算法的平均复杂度分析 II(基于期望的线性)
- 14:2214:22, 12 April 2023 diff hist +54 概率论与数理统计 (Spring 2023)/Average-case analysis of QuickSort →快速排序算法的平均复杂度分析 II(基于期望的线性)
- 14:2114:21, 12 April 2023 diff hist −4 概率论与数理统计 (Spring 2023)/Average-case analysis of QuickSort →快速排序算法的平均复杂度分析 I(基于全期望法则)
- 14:2014:20, 12 April 2023 diff hist +16 概率论与数理统计 (Spring 2023)/Average-case analysis of QuickSort →快速排序算法的平均复杂度分析 I(基于全期望法则)
- 14:1914:19, 12 April 2023 diff hist −2,532 概率论与数理统计 (Spring 2023)/Average-case analysis of QuickSort →快速排序算法的平均复杂度分析 II(基于期望的线性)
- 13:3213:32, 12 April 2023 diff hist +643 概率论与数理统计 (Spring 2023)/Average-case analysis of QuickSort No edit summary
- 13:2013:20, 12 April 2023 diff hist +188 概率论与数理统计 (Spring 2023)/Average-case analysis of QuickSort →快速排序算法的平均复杂度分析 II(基于期望的线性)
- 13:1713:17, 12 April 2023 diff hist +4 概率论与数理统计 (Spring 2023)/Average-case analysis of QuickSort No edit summary
- 13:1313:13, 12 April 2023 diff hist +32 概率论与数理统计 (Spring 2023)/Average-case analysis of QuickSort →快速排序算法的平均复杂度分析 I(基于全期望法则)
- 13:1213:12, 12 April 2023 diff hist +9 概率论与数理统计 (Spring 2023)/Average-case analysis of QuickSort →快速排序算法的平均复杂度分析 I(基于全期望法则)
- 13:1113:11, 12 April 2023 diff hist +4 概率论与数理统计 (Spring 2023)/Average-case analysis of QuickSort →快速排序算法的平均复杂度分析 I(基于全期望法则)
- 13:1113:11, 12 April 2023 diff hist +176 概率论与数理统计 (Spring 2023)/Average-case analysis of QuickSort →快速排序算法的平均复杂度分析 I(基于全期望法则)
- 13:0713:07, 12 April 2023 diff hist 0 概率论与数理统计 (Spring 2023)/Average-case analysis of QuickSort →快速排序算法的平均复杂度分析 I(基于全期望法则)
- 13:0613:06, 12 April 2023 diff hist −44 概率论与数理统计 (Spring 2023)/Average-case analysis of QuickSort →快速排序算法的平均复杂度分析 I(基于全期望法则)
- 13:0613:06, 12 April 2023 diff hist +11,275 N 概率论与数理统计 (Spring 2023)/Average-case analysis of QuickSort Created page with "[http://en.wikipedia.org/wiki/Quicksort '''快速排序'''('''Quicksort''')]是由Tony Hoare发现的基于比较的(comparison-based)排序算法。该算法的伪代码描述如下(为方便起见,假设数组元素互不相同——更一般情况的分析易推广得到): '''''QSort'''''(A): 输入A[1...n]是存有n个不同数字的数组 if n>1 then '''pivot''' = A[1]; 将A中<pivot的元素存于数组L,将>pivot的元素存于..."
- 09:0909:09, 12 April 2023 diff hist +6 概率论与数理统计 (Spring 2023) →Lectures
- 09:0609:06, 12 April 2023 diff hist −72 概率论与数理统计 (Spring 2023) →Lectures
- 09:0509:05, 12 April 2023 diff hist +2 概率论与数理统计 (Spring 2023) →Lectures
- 09:0509:05, 12 April 2023 diff hist +190 概率论与数理统计 (Spring 2023) →Lectures
11 April 2023
- 17:3517:35, 11 April 2023 diff hist +1 概率论与数理统计 (Spring 2023) →Concepts
- 17:3017:30, 11 April 2023 diff hist +220 概率论与数理统计 (Spring 2023) →Concepts
- 17:2617:26, 11 April 2023 diff hist +109 概率论与数理统计 (Spring 2023) →Concepts
- 17:2517:25, 11 April 2023 diff hist −55 概率论与数理统计 (Spring 2023) →Concepts
- 17:2517:25, 11 April 2023 diff hist +391 概率论与数理统计 (Spring 2023) →Concepts
- 17:1817:18, 11 April 2023 diff hist +176 概率论与数理统计 (Spring 2023) →Concepts
- 17:1717:17, 11 April 2023 diff hist −1 概率论与数理统计 (Spring 2023) →Concepts
- 17:1517:15, 11 April 2023 diff hist +83 概率论与数理统计 (Spring 2023) →Concepts
- 17:1517:15, 11 April 2023 diff hist +85 概率论与数理统计 (Spring 2023) →Concepts
- 17:0917:09, 11 April 2023 diff hist +85 概率论与数理统计 (Spring 2023) →Concepts
10 April 2023
- 13:3513:35, 10 April 2023 diff hist +114 概率论与数理统计 (Spring 2023) →Concepts
7 April 2023
- 10:4110:41, 7 April 2023 diff hist −32 概率论与数理统计 (Spring 2023)/Problem Set 2 →Problem 2 (Distribution of random variable) current
- 10:4110:41, 7 April 2023 diff hist +164 概率论与数理统计 (Spring 2023)/Problem Set 2 →Problem 2 (Distribution of random variable)
- 10:3910:39, 7 April 2023 diff hist −168 概率论与数理统计 (Spring 2023)/Problem Set 2 →Problem 1 (Warm-up problems) Tag: Manual revert
- 10:3810:38, 7 April 2023 diff hist +168 概率论与数理统计 (Spring 2023)/Problem Set 2 →Problem 1 (Warm-up problems) Tag: Reverted
- 10:2110:21, 7 April 2023 diff hist +59 组合数学 (Spring 2023) →Lecture Notes
5 April 2023
- 10:3510:35, 5 April 2023 diff hist +3 概率论与数理统计 (Spring 2023) →Assignments
- 10:3510:35, 5 April 2023 diff hist −1 概率论与数理统计 (Spring 2023) →Assignments
- 10:3410:34, 5 April 2023 diff hist +4 概率论与数理统计 (Spring 2023) →Assignments
- 10:3410:34, 5 April 2023 diff hist +69 概率论与数理统计 (Spring 2023) →Assignments
- 10:2910:29, 5 April 2023 diff hist +42 概率论与数理统计 (Spring 2023) →Assignments
29 March 2023
- 14:2514:25, 29 March 2023 diff hist +19,696 N 组合数学 (Fall 2023)/Pólya's theory of counting Created page with "== Groups == A group <math>(G,\cdot)</math> is set <math>G</math> along with a binary operator <math>\cdot</math> which satisfies the following axioms: * ''closure'': <math>\forall g,h\in G, g\cdot h \in G</math>; * ''associativity'': <math>\forall f,g,h\in G, f\cdot(g\cdot h)=(f\cdot g)\cdot h</math>; * ''identity'': there exists a special element <math>e\in G</math>, called the '''identity''', such that <math>e\cdot g=g</math> for any <math>g\in G</math>; * ''inverse''..." current
- 14:2514:25, 29 March 2023 diff hist +105 组合数学 (Spring 2023) →Lecture Notes
- 14:2414:24, 29 March 2023 diff hist −33 概率论与数理统计 (Spring 2023)/Problem Set 2 No edit summary
24 March 2023
- 13:4713:47, 24 March 2023 diff hist +6 概率论与数理统计 (Spring 2023) →Lectures
- 13:4713:47, 24 March 2023 diff hist +1 概率论与数理统计 (Spring 2023) →Lectures
- 13:4613:46, 24 March 2023 diff hist +4 概率论与数理统计 (Spring 2023) →Lectures
- 13:4613:46, 24 March 2023 diff hist −4 概率论与数理统计 (Spring 2023) →Lectures
- 13:4613:46, 24 March 2023 diff hist 0 概率论与数理统计 (Spring 2023) →Lectures
- 13:4513:45, 24 March 2023 diff hist 0 概率论与数理统计 (Spring 2023) →Lectures
- 13:4413:44, 24 March 2023 diff hist +288 概率论与数理统计 (Spring 2023) →Lectures
23 March 2023
- 17:4117:41, 23 March 2023 diff hist −160 组合数学 (Fall 2023)/Generating functions →Expanding current
- 17:3917:39, 23 March 2023 diff hist −3 组合数学 (Fall 2023)/Generating functions →Expanding
- 17:3917:39, 23 March 2023 diff hist −88 组合数学 (Fall 2023)/Generating functions →Expanding
- 17:3817:38, 23 March 2023 diff hist −1 组合数学 (Fall 2023)/Generating functions →Solving the equation
- 17:3717:37, 23 March 2023 diff hist −111 组合数学 (Fall 2023)/Generating functions →Solving the equation
- 17:3717:37, 23 March 2023 diff hist +262 组合数学 (Fall 2023)/Generating functions →Solving the equation
- 17:3117:31, 23 March 2023 diff hist −1 组合数学 (Fall 2023)/Generating functions →Expanding Tag: Manual revert
- 17:3017:30, 23 March 2023 diff hist +1 组合数学 (Fall 2023)/Generating functions →Expanding Tag: Reverted
- 17:2917:29, 23 March 2023 diff hist −1 组合数学 (Fall 2023)/Generating functions →Expanding
- 17:2617:26, 23 March 2023 diff hist +7 组合数学 (Fall 2023)/Generating functions →Expanding
- 17:2417:24, 23 March 2023 diff hist +35 组合数学 (Fall 2023)/Generating functions →Expanding
- 17:2317:23, 23 March 2023 diff hist +59 组合数学 (Fall 2023)/Generating functions →Expanding
- 17:1617:16, 23 March 2023 diff hist +1 组合数学 (Fall 2023)/Generating functions →Expanding
- 17:1517:15, 23 March 2023 diff hist +170 组合数学 (Fall 2023)/Generating functions →Expanding
- 17:0017:00, 23 March 2023 diff hist +2 组合数学 (Fall 2023)/Generating functions →Expanding
- 16:5916:59, 23 March 2023 diff hist −2 组合数学 (Fall 2023)/Generating functions →Expanding
- 16:5816:58, 23 March 2023 diff hist +197 组合数学 (Fall 2023)/Generating functions →Expanding
- 16:5416:54, 23 March 2023 diff hist 0 组合数学 (Fall 2023)/Generating functions →Expanding
- 16:5316:53, 23 March 2023 diff hist +6 组合数学 (Fall 2023)/Generating functions →Expanding
- 16:5316:53, 23 March 2023 diff hist +207 组合数学 (Fall 2023)/Generating functions →Expanding
- 16:4616:46, 23 March 2023 diff hist −1 组合数学 (Fall 2023)/Generating functions →Expanding
- 16:4616:46, 23 March 2023 diff hist 0 组合数学 (Fall 2023)/Generating functions →Expanding
- 16:4516:45, 23 March 2023 diff hist +54 组合数学 (Fall 2023)/Generating functions →Solving the equation
- 13:2913:29, 23 March 2023 diff hist 0 组合数学 (Fall 2023)/Generating functions →Fibonacci numbers
- 08:1608:16, 23 March 2023 diff hist +47 组合数学 (Spring 2023) →Lecture Notes
22 March 2023
- 10:5910:59, 22 March 2023 diff hist 0 概率论与数理统计 (Spring 2023) →Lectures
- 10:5910:59, 22 March 2023 diff hist −10 概率论与数理统计 (Spring 2023) →Lectures
- 10:5910:59, 22 March 2023 diff hist +136 概率论与数理统计 (Spring 2023) →Lectures
16 March 2023
- 12:4612:46, 16 March 2023 diff hist +772 组合数学 (Spring 2023) →Concepts
- 12:4512:45, 16 March 2023 diff hist +33,970 N 组合数学 (Fall 2023)/Sieve methods Created page with "== Principle of Inclusion-Exclusion == Let <math>A</math> and <math>B</math> be two finite sets. The cardinality of their union is :<math>|A\cup B|=|A|+|B|-{\color{Blue}|A\cap B|}</math>. For three sets <math>A</math>, <math>B</math>, and <math>C</math>, the cardinality of the union of these three sets is computed as :<math>|A\cup B\cup C|=|A|+|B|+|C|-{\color{Blue}|A\cap B|}-{\color{Blue}|A\cap C|}-{\color{Blue}|B\cap C|}+{\color{Red}|A\cap B\cap C|}</math>. This is illu..." current
- 12:4512:45, 16 March 2023 diff hist +68 组合数学 (Spring 2023) →Lecture Notes
14 March 2023
- 11:3811:38, 14 March 2023 diff hist +61 概率论与数理统计 (Spring 2023) →Concepts
- 11:3611:36, 14 March 2023 diff hist −52 概率论与数理统计 (Spring 2023) →Concepts
- 11:3511:35, 14 March 2023 diff hist +1,194 概率论与数理统计 (Spring 2023) →Concepts
- 06:4706:47, 14 March 2023 diff hist 0 概率论与数理统计 (Spring 2023) →Lectures
- 06:4706:47, 14 March 2023 diff hist +67 概率论与数理统计 (Spring 2023) →Lectures
12 March 2023
- 03:0503:05, 12 March 2023 diff hist +261 概率论与数理统计 (Spring 2023)/Polynomial identity testing →Schwartz-Zippel Lemma current
- 03:0003:00, 12 March 2023 diff hist +965 概率论与数理统计 (Spring 2023)/Polynomial identity testing →Schwartz-Zippel Lemma
- 02:4402:44, 12 March 2023 diff hist +5 概率论与数理统计 (Spring 2023)/Polynomial identity testing →Polynomial Interpolation
- 02:4402:44, 12 March 2023 diff hist +91 概率论与数理统计 (Spring 2023)/Polynomial identity testing →Polynomial Interpolation
- 02:4302:43, 12 March 2023 diff hist +30 概率论与数理统计 (Spring 2023)/Polynomial identity testing No edit summary
- 02:4202:42, 12 March 2023 diff hist +100 概率论与数理统计 (Spring 2023)/Polynomial identity testing No edit summary
- 02:4102:41, 12 March 2023 diff hist −13 概率论与数理统计 (Spring 2023)/Polynomial identity testing No edit summary
- 02:4002:40, 12 March 2023 diff hist −5 概率论与数理统计 (Spring 2023)/Polynomial identity testing No edit summary
- 02:4002:40, 12 March 2023 diff hist +13 概率论与数理统计 (Spring 2023)/Polynomial identity testing No edit summary
- 02:4002:40, 12 March 2023 diff hist +21 概率论与数理统计 (Spring 2023)/Polynomial identity testing No edit summary
- 02:3902:39, 12 March 2023 diff hist +84 概率论与数理统计 (Spring 2023)/Polynomial identity testing No edit summary
- 02:3602:36, 12 March 2023 diff hist −27 概率论与数理统计 (Spring 2023)/Karger's min-cut algorithm No edit summary current
- 02:3302:33, 12 March 2023 diff hist −45 概率论与数理统计 (Spring 2023)/Karger's min-cut algorithm No edit summary
11 March 2023
- 17:5217:52, 11 March 2023 diff hist 0 概率论与数理统计 (Spring 2023) →Lectures
- 17:5117:51, 11 March 2023 diff hist +23 概率论与数理统计 (Spring 2023)/Karger's min-cut algorithm →Analysis of Karger's Algorithm
- 17:4917:49, 11 March 2023 diff hist 0 概率论与数理统计 (Spring 2023)/Karger's min-cut algorithm →A Consequence of the Probabilistic Method
- 17:4917:49, 11 March 2023 diff hist +2 概率论与数理统计 (Spring 2023)/Karger's min-cut algorithm →A Corollary by the Probabilistic Method
- 17:4817:48, 11 March 2023 diff hist −282 概率论与数理统计 (Spring 2023)/Karger's min-cut algorithm →Analysis of Karger's Algorithm
- 17:4617:46, 11 March 2023 diff hist −913 概率论与数理统计 (Spring 2023)/Karger's min-cut algorithm →Analysis of Karger's Algorithm
- 17:4617:46, 11 March 2023 diff hist −25 概率论与数理统计 (Spring 2023)/Karger's min-cut algorithm →Analysis of Karger's Algorithm
- 17:4517:45, 11 March 2023 diff hist −10 概率论与数理统计 (Spring 2023)/Karger's min-cut algorithm →Analysis of Karger's Algorithm
- 17:4417:44, 11 March 2023 diff hist −20 概率论与数理统计 (Spring 2023)/Karger's min-cut algorithm →Analysis of accuracy
- 17:4117:41, 11 March 2023 diff hist −920 概率论与数理统计 (Spring 2023)/Karger's min-cut algorithm →Karger's Algorithm
- 17:4117:41, 11 March 2023 diff hist +28 概率论与数理统计 (Spring 2023)/Karger's min-cut algorithm →Karger's Algorithm
- 17:4017:40, 11 March 2023 diff hist −34 概率论与数理统计 (Spring 2023)/Karger's min-cut algorithm →Karger's Algorithm
- 17:3817:38, 11 March 2023 diff hist −16 概率论与数理统计 (Spring 2023)/Karger's min-cut algorithm →Karger's Contraction algorithm
- 17:3817:38, 11 March 2023 diff hist −770 概率论与数理统计 (Spring 2023)/Karger's min-cut algorithm No edit summary
- 17:3717:37, 11 March 2023 diff hist −148 概率论与数理统计 (Spring 2023)/Karger's min-cut algorithm No edit summary
- 17:3717:37, 11 March 2023 diff hist −12 概率论与数理统计 (Spring 2023)/Karger's min-cut algorithm →Min-Cut
- 17:3617:36, 11 March 2023 diff hist −14 概率论与数理统计 (Spring 2023)/Karger's min-cut algorithm →Graph Cut
- 17:3617:36, 11 March 2023 diff hist −6,151 概率论与数理统计 (Spring 2023)/Karger's min-cut algorithm →Fast Min-Cut
- 17:3517:35, 11 March 2023 diff hist −19,453 概率论与数理统计 (Spring 2023)/Karger's min-cut algorithm →Max-Cut
- 17:3517:35, 11 March 2023 diff hist +44,285 N 概率论与数理统计 (Spring 2023)/Karger's min-cut algorithm Created page with "= Graph Cut = Let <math>G(V, E)</math> be an undirected graph. A subset <math>C\subseteq E</math> of edges is a '''cut''' of graph <math>G</math> if <math>G</math> becomes ''disconnected'' after deleting all edges in <math>C</math>. Let <math>\{S,T\}</math> be a '''bipartition''' of <math>V</math> into nonempty subsets <math>S,T\subseteq V</math>, where <math>S\cap T=\emptyset</math> and <math>S\cup T=V</math>. A cut <math>C</math> is specified by this bipartition as..."
- 17:3417:34, 11 March 2023 diff hist 0 概率论与数理统计 (Spring 2023)/Polynomial identity testing →Schwartz-Zippel Lemma
- 17:3417:34, 11 March 2023 diff hist +15 概率论与数理统计 (Spring 2023)/Polynomial identity testing →Schwartz-Zippel Lemma
- 17:3317:33, 11 March 2023 diff hist +8 概率论与数理统计 (Spring 2023)/Polynomial identity testing →Schwartz-Zippel Lemma
- 17:3217:32, 11 March 2023 diff hist −5 概率论与数理统计 (Spring 2023)/Polynomial identity testing →Schwartz-Zippel Lemma
- 17:3117:31, 11 March 2023 diff hist +75 概率论与数理统计 (Spring 2023)/Polynomial identity testing →Schwartz-Zippel Lemma
- 17:2517:25, 11 March 2023 diff hist −2 概率论与数理统计 (Spring 2023)/Polynomial identity testing →Schwartz-Zippel Lemma
- 17:2217:22, 11 March 2023 diff hist −4 概率论与数理统计 (Spring 2023)/Polynomial identity testing →Schwartz-Zippel Lemma
- 17:2117:21, 11 March 2023 diff hist −15 概率论与数理统计 (Spring 2023)/Polynomial identity testing →Schwartz-Zippel Lemma
- 17:2017:20, 11 March 2023 diff hist −4 概率论与数理统计 (Spring 2023)/Polynomial identity testing →Schwartz-Zippel Lemma
- 17:1917:19, 11 March 2023 diff hist +53 概率论与数理统计 (Spring 2023)/Polynomial identity testing →Schwartz-Zippel Lemma
- 17:1717:17, 11 March 2023 diff hist −92 概率论与数理统计 (Spring 2023)/Polynomial identity testing →Schwartz-Zippel Lemma
- 17:1417:14, 11 March 2023 diff hist +11 概率论与数理统计 (Spring 2023)/Polynomial identity testing →Schwartz-Zippel Lemma
- 17:1317:13, 11 March 2023 diff hist +111 概率论与数理统计 (Spring 2023)/Polynomial identity testing →Schwartz-Zippel Lemma
- 17:1217:12, 11 March 2023 diff hist −2,355 概率论与数理统计 (Spring 2023)/Polynomial identity testing →Schwartz-Zippel Theorem
- 17:1017:10, 11 March 2023 diff hist +60 概率论与数理统计 (Spring 2023)/Polynomial identity testing No edit summary
- 17:0717:07, 11 March 2023 diff hist −18 概率论与数理统计 (Spring 2023)/Polynomial identity testing No edit summary
- 17:0717:07, 11 March 2023 diff hist +928 概率论与数理统计 (Spring 2023)/Polynomial identity testing No edit summary
- 16:4416:44, 11 March 2023 diff hist −37 概率论与数理统计 (Spring 2023)/Polynomial identity testing →Polynomial Identity Testing (PIT)
- 16:4416:44, 11 March 2023 diff hist −6,504 概率论与数理统计 (Spring 2023)/Polynomial identity testing →Checking distinctness
- 16:4316:43, 11 March 2023 diff hist −7,835 概率论与数理统计 (Spring 2023)/Polynomial identity testing →Fingerprinting
- 16:4316:43, 11 March 2023 diff hist −4,197 概率论与数理统计 (Spring 2023)/Polynomial identity testing →Communication Complexity of Equality
- 16:4316:43, 11 March 2023 diff hist +30,540 N 概率论与数理统计 (Spring 2023)/Polynomial identity testing Created page with "=Polynomial Identity Testing (PIT) = The '''Polynomial Identity Testing (PIT)''' is such a problem: given as input two polynomials, determine whether they are identical. It plays a fundamental role in ''Identity Testing'' problems. First, let's consider the univariate ("one variable") case: * '''Input:''' two polynomials <math>f, g\in\mathbb{F}[x]</math> of degree <math>d</math>. * Determine whether <math>f\equiv g</math> (<math>f</math> and <math>g</math> are identica..."
- 16:4216:42, 11 March 2023 diff hist +12 概率论与数理统计 (Spring 2023) →Lectures
- 16:4216:42, 11 March 2023 diff hist +197 概率论与数理统计 (Spring 2023) →Lectures
- 16:4016:40, 11 March 2023 diff hist +62 概率论与数理统计 (Spring 2023) →Lectures
8 March 2023
- 14:0414:04, 8 March 2023 diff hist −1 概率论与数理统计 (Spring 2023) →Assignments Tag: Manual revert
- 14:0414:04, 8 March 2023 diff hist +1 概率论与数理统计 (Spring 2023) →Assignments Tag: Reverted
- 14:0414:04, 8 March 2023 diff hist +22 概率论与数理统计 (Spring 2023) →Assignments
- 14:0314:03, 8 March 2023 diff hist +20 概率论与数理统计 (Spring 2023) →Assignments
7 March 2023
- 17:3717:37, 7 March 2023 diff hist −7 概率论与数理统计 (Spring 2023)/Problem Set 1 →Assumption throughout Problem Set 1
- 17:3717:37, 7 March 2023 diff hist −2 概率论与数理统计 (Spring 2023)/Problem Set 1 →Assumption throughout Problem Set 1
- 17:3617:36, 7 March 2023 diff hist +12 概率论与数理统计 (Spring 2023)/Problem Set 1 →Assumption throughout Problem Set 1
- 17:3617:36, 7 March 2023 diff hist 0 概率论与数理统计 (Spring 2023)/Problem Set 1 No edit summary
- 17:3517:35, 7 March 2023 diff hist +456 概率论与数理统计 (Spring 2023)/Problem Set 1 →Assumption throughout Problem Set 1
- 16:5116:51, 7 March 2023 diff hist +7 概率论与数理统计 (Spring 2023)/Problem Set 1 No edit summary
- 16:4816:48, 7 March 2023 diff hist +50 概率论与数理统计 (Spring 2023)/Problem Set 1 No edit summary
- 16:3916:39, 7 March 2023 diff hist +210 概率论与数理统计 (Spring 2023)/Problem Set 1 No edit summary
- 16:3416:34, 7 March 2023 diff hist +12 概率论与数理统计 (Spring 2023)/Problem Set 1 →Assumption throughout Problem Set 1
- 16:3216:32, 7 March 2023 diff hist +286 概率论与数理统计 (Spring 2023)/Problem Set 1 No edit summary
- 16:2516:25, 7 March 2023 diff hist +118 概率论与数理统计 (Spring 2023)/Problem Set 1 →Assumption throughout Problem Set 1
- 16:2116:21, 7 March 2023 diff hist +55 概率论与数理统计 (Spring 2023)/Problem Set 1 No edit summary
- 16:1516:15, 7 March 2023 diff hist +4 概率论与数理统计 (Spring 2023)/Problem Set 1 →Assumption throughout Problem Set 1
- 16:1416:14, 7 March 2023 diff hist +55 概率论与数理统计 (Spring 2023)/Problem Set 1 No edit summary
- 16:1116:11, 7 March 2023 diff hist +181 概率论与数理统计 (Spring 2023)/Problem Set 1 →Assumption throughout Problem Set 1
- 15:3715:37, 7 March 2023 diff hist +25 概率论与数理统计 (Spring 2023)/Problem Set 1 →Assumption throughout Problem Set 1
- 15:2915:29, 7 March 2023 diff hist +129 概率论与数理统计 (Spring 2023)/Problem Set 1 →Assumption throughout Problem Set 1
- 15:2715:27, 7 March 2023 diff hist +22 概率论与数理统计 (Spring 2023)/Problem Set 1 →Assumption throughout Problem Set 1
- 15:2615:26, 7 March 2023 diff hist +57 概率论与数理统计 (Spring 2023)/Problem Set 1 →Assumption throughout Problem Set 1
- 15:2015:20, 7 March 2023 diff hist +66 概率论与数理统计 (Spring 2023)/Problem Set 1 →Assumption throughout Problem Set 1
- 15:1815:18, 7 March 2023 diff hist −44 概率论与数理统计 (Spring 2023)/Problem Set 1 →Assumption throughout Problem Set 1
- 15:1115:11, 7 March 2023 diff hist +102 概率论与数理统计 (Spring 2023)/Problem Set 1 →Assumption throughout Problem Set 1
- 15:0915:09, 7 March 2023 diff hist +3 概率论与数理统计 (Spring 2023)/Problem Set 1 →Assumption throughout Problem Set 1
- 15:0715:07, 7 March 2023 diff hist +4 概率论与数理统计 (Spring 2023)/Problem Set 1 →Assumption throughout Problem Set 1
- 15:0715:07, 7 March 2023 diff hist −33 概率论与数理统计 (Spring 2023)/Problem Set 1 →Assumption throughout Problem Set 1
- 15:0515:05, 7 March 2023 diff hist +18 概率论与数理统计 (Spring 2023)/Problem Set 1 →Assumption throughout Problem Set 1
- 15:0315:03, 7 March 2023 diff hist +50 概率论与数理统计 (Spring 2023)/Problem Set 1 →Assumption throughout Problem Set 1
- 14:5614:56, 7 March 2023 diff hist +15 概率论与数理统计 (Spring 2023)/Problem Set 1 →Assumption throughout Problem Set 1
- 14:5014:50, 7 March 2023 diff hist +1 概率论与数理统计 (Spring 2023)/Problem Set 1 No edit summary
4 March 2023
- 02:2102:21, 4 March 2023 diff hist +130 组合数学 (Spring 2023) →Concepts
3 March 2023
- 08:3108:31, 3 March 2023 diff hist +24,916 N 组合数学 (Fall 2023)/Generating functions Created page with "== Generating Functions == In Stanley's magnificent book ''Enumerative Combinatorics'', he comments the generating function as "the most useful but most difficult to understand method (for counting)". The solution to a counting problem is usually represented as some <math>a_n</math> depending a parameter <math>n</math>. Sometimes this <math>a_n</math> is called a ''counting function'' as it is a function of the parameter <math>n</math>. <math>a_n</math> can also be tre..."
- 08:3008:30, 3 March 2023 diff hist +165 组合数学 (Spring 2023) →Lecture Notes
28 February 2023
- 05:5305:53, 28 February 2023 diff hist 0 概率论与数理统计 (Spring 2023) →Lectures
- 05:4705:47, 28 February 2023 diff hist +1 概率论与数理统计 (Spring 2023) →Concepts
- 05:4605:46, 28 February 2023 diff hist 0 概率论与数理统计 (Spring 2023) →Concepts
- 05:4605:46, 28 February 2023 diff hist +74 概率论与数理统计 (Spring 2023) →Concepts
- 05:4405:44, 28 February 2023 diff hist −6 概率论与数理统计 (Spring 2023) →Concepts
- 05:4105:41, 28 February 2023 diff hist −2 概率论与数理统计 (Spring 2023) →Lectures
- 05:3905:39, 28 February 2023 diff hist 0 概率论与数理统计 (Spring 2023) →Lectures
- 05:3805:38, 28 February 2023 diff hist +10 概率论与数理统计 (Spring 2023) →Lectures
- 05:3805:38, 28 February 2023 diff hist +15 概率论与数理统计 (Spring 2023) →教材与参考书 Course Materials
- 05:3705:37, 28 February 2023 diff hist +18 概率论与数理统计 (Spring 2023) →教材与参考书 Course Materials
- 05:3005:30, 28 February 2023 diff hist +117 概率论与数理统计 (Spring 2023) →Lectures
16 February 2023
- 13:2913:29, 16 February 2023 diff hist +75 组合数学 (Spring 2023) →Lecture Notes
- 13:2313:23, 16 February 2023 diff hist +853 组合数学 (Spring 2023) →Concepts
- 13:2213:22, 16 February 2023 diff hist +39,712 N 组合数学 (Fall 2023)/Basic enumeration Created page with "== Basic Enumeration == The three basic rules for enumeration are: *'''The sum rule''': for any '''''disjoint''''' finite sets <math>S</math> and <math>T</math>, the cardinality of the union <math>|S\cup T|=|S|+|T|</math>. *'''The product rule''': for any finite sets <math>S</math> and <math>T</math>, the cardinality of the Cartesian product <math>|S\times T|=|S|\cdot|T|</math>. *'''The bijection rule''': if there exists a bijection between finite sets <math>S</math> a..." current
- 13:2113:21, 16 February 2023 diff hist +76 组合数学 (Spring 2023) →Lecture Notes
- 10:2610:26, 16 February 2023 diff hist 0 N File:Stanley-2e.jpg No edit summary current
- 10:2610:26, 16 February 2023 diff hist +3 组合数学 (Spring 2023)/Course materials →References current
15 February 2023
- 12:2412:24, 15 February 2023 diff hist +274 概率论与数理统计 (Spring 2023) →Concepts
- 12:2012:20, 15 February 2023 diff hist +219 概率论与数理统计 (Spring 2023) →Concepts
- 12:1712:17, 15 February 2023 diff hist +86 概率论与数理统计 (Spring 2023) →Concepts
- 12:1712:17, 15 February 2023 diff hist +164 概率论与数理统计 (Spring 2023) →Concepts
- 12:1412:14, 15 February 2023 diff hist 0 概率论与数理统计 (Spring 2023) →Concepts
- 12:1412:14, 15 February 2023 diff hist +153 概率论与数理统计 (Spring 2023) →Concepts
- 12:1112:11, 15 February 2023 diff hist +68 概率论与数理统计 (Spring 2023) →Concepts
- 12:1012:10, 15 February 2023 diff hist 0 概率论与数理统计 (Spring 2023) →Concepts