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19 March 2024
- 10:3710:37, 19 March 2024 diff hist −526 概率论与数理统计 (Spring 2024)/Karger's min-cut algorithm No edit summary
- 09:5109:51, 19 March 2024 diff hist +33,970 N 组合数学 (Fall 2024)/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
- 09:5009:50, 19 March 2024 diff hist +68 组合数学 (Spring 2024) →Lecture Notes
- 09:4409:44, 19 March 2024 diff hist +179 概率论与数理统计 (Spring 2024) →Lectures
18 March 2024
- 15:5115:51, 18 March 2024 diff hist +15,498 N 概率论与数理统计 (Spring 2024)/Karger's min-cut algorithm Created page with "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 :<math>C=E(S,T..."
13 March 2024
- 16:0416:04, 13 March 2024 diff hist +101 概率论与数理统计 (Spring 2024) →Lectures
12 March 2024
- 02:5602:56, 12 March 2024 diff hist +24,945 N Quantum Created page with "= 量子算法与物理实现研讨会= ==时间地点 == *'''<font size=4> 2019年10月19、20日: 9 am--5 pm.</font>''' * <font size=4> 南京大学 计算机科学与技术系 (南京大学仙林校区常州楼)111报告厅</font> [http://map.baidu.com/?l=&s=s%26wd%3D南京仙林大道163号++南京大学(仙林校区)计算机系楼 在线地图] ==联系人与联系方式 == * 姚鹏晖 pyao@nju.edu.cn * 张利剑 lijian.zhang@nju.edu.cn ==会议主旨..." current
6 March 2024
- 11:4211:42, 6 March 2024 diff hist +1 组合数学 (Spring 2024) →Lecture Notes
- 11:4111:41, 6 March 2024 diff hist +25,549 N 组合数学 (Fall 2024)/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..." current
- 11:4111:41, 6 March 2024 diff hist +229 组合数学 (Spring 2024) →Lecture Notes
4 March 2024
- 08:5208:52, 4 March 2024 diff hist +125 概率论与数理统计 (Spring 2024) →Lectures
27 February 2024
- 10:5210:52, 27 February 2024 diff hist +44 Main Page →Home Pages for Courses and Seminars
- 10:3910:39, 27 February 2024 diff hist +39,712 N 组合数学 (Fall 2024)/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
- 10:3710:37, 27 February 2024 diff hist +76 组合数学 (Spring 2024) →Lecture Notes
- 07:4407:44, 27 February 2024 diff hist −153 概率论与数理统计 (Spring 2023) →Assignments current
26 February 2024
- 09:3609:36, 26 February 2024 diff hist +49 概率论与数理统计 (Spring 2024) →Course info
- 09:3509:35, 26 February 2024 diff hist +12 概率论与数理统计 (Spring 2024) No edit summary
- 09:3409:34, 26 February 2024 diff hist +1 概率论与数理统计 (Spring 2024) No edit summary
- 09:3409:34, 26 February 2024 diff hist +1,010 概率论与数理统计 (Spring 2024) →Concepts
- 09:3109:31, 26 February 2024 diff hist +50 概率论与数理统计 (Spring 2024) →Lectures
18 February 2024
- 07:4007:40, 18 February 2024 diff hist +1,438 N 组合数学 (Spring 2024)/Course materials Created page with "== Textbooks == {|border="2" cellspacing="4" cellpadding="3" rules="all" style="margin:1em 1em 1em 0; border:solid 1px #AAAAAA; border-collapse:collapse;empty-cells:show;" |border|100px |width="100%"| :J. H. van Lint and R. M. Wilson. ''A course in Combinatorics, 2nd Edition.'' Cambridge University Press, 2001. |- |border|100px|| :S. Jukna. ''Extremal Combinatorics: With Applications in Computer Science, 2nd Edition..." current
- 07:3907:39, 18 February 2024 diff hist −4 组合数学 (Spring 2024) →Course info Tag: Manual revert
- 07:3907:39, 18 February 2024 diff hist +4 组合数学 (Spring 2024) →Course info Tag: Reverted
- 07:3807:38, 18 February 2024 diff hist +4,631 N 组合数学 (Spring 2024) Created page with "{{Infobox |name = Infobox |bodystyle = |title = <font size=3>组合数学 <br> Combinatorics</font> |titlestyle = |image = |imagestyle = |caption = |captionstyle = |headerstyle = background:#ccf; |labelstyle = background:#ddf; |datastyle = |header1 =Instructor |label1 = |data1 = |header2 = |label2 = |data2 = 尹一通 |header3 = |label3 = Email |data3 = yinyt@nju.edu.cn |header4 = |label4= office |data4=..."
- 07:3407:34, 18 February 2024 diff hist +4 概率论与数理统计 (Spring 2024) →Course info
- 07:3307:33, 18 February 2024 diff hist +6,287 N 概率论与数理统计 (Spring 2024) Created page with "{{Infobox |name = Infobox |bodystyle = |title = <font size=3>'''概率论与数理统计'''<br> '''Probability Theory''' <br> & '''Mathematical Statistics'''</font> |titlestyle = |image = |imagestyle = |caption = |captionstyle = |headerstyle = background:#ccf; |labelstyle = background:#ddf; |datastyle = |header1 =Instructor |label1 = |data1 = |header2 = |label2 = |data2 = '''尹一通''' |header3 = |label3 = Em..."
- 07:2307:23, 18 February 2024 diff hist +123 Main Page →Home Pages for Courses and Seminars Tag: Visual edit: Switched
3 December 2023
- 12:4112:41, 3 December 2023 diff hist +13 高级算法 (Fall 2023) →Lecture Notes
- 12:4012:40, 3 December 2023 diff hist +14 高级算法 (Fall 2023) →Lecture Notes
- 12:3912:39, 3 December 2023 diff hist +64 高级算法 (Fall 2023) →Lecture Notes
- 12:3212:32, 3 December 2023 diff hist 0 高级算法 (Fall 2023) →Lecture Notes
29 November 2023
- 16:3316:33, 29 November 2023 diff hist +2,459 N Assignment 4, Fall 2023 Created page with "在第四章中,我们从准地转近似下的纬向平均风场、温度场的趋势方程出发,定义了E-P通量。但是该定义下的E-P通量并没有考虑到大气湿过程的影响。如果从第三章介绍的水汽方程出发,我们可以按照以下步骤定义出一个包含大气大尺度运动中湿过程作用的广义的E-P通量。 1)在准地转近似下,如果我们按照对热力学方程的简化方法,将比湿(specific humidity..." current
- 16:3316:33, 29 November 2023 diff hist +54 General Circulation(Fall 2023) →Assignments current
6 November 2023
- 06:3006:30, 6 November 2023 diff hist −69 General Circulation(Fall 2023) →Course Slides
- 06:1906:19, 6 November 2023 diff hist +934 General Circulation(Fall 2023) →Course Slides
- 06:1406:14, 6 November 2023 diff hist +57 General Circulation(Fall 2023) →Course Slides
- 06:1206:12, 6 November 2023 diff hist +1,087 N Assignment 3, Fall 2023 Created page with "Held-Hou(1980) 讨论了当外部强迫的经向分布呈二次勒让德多项式,即<math>\dfrac{\Theta_E(\phi,z)}{\Theta_o}=1-\dfrac{2}{3}\Delta_H P_2(\sin \phi)+\Delta_v(\dfrac{z}{H}-\dfrac{1}{2})</math>的情况下,哈德莱环流内的风场、温度场、环流的空间范围等将怎样随纬度和外力强迫的强度而变化。如果将外力强迫的空间分布改为<math>\dfrac{\Theta_E(\phi,z)}{\Theta_o}=1-\Delta_H(\sin \phi -\frac{1}{2})+\Delta_v(\dfra..." current
- 06:1106:11, 6 November 2023 diff hist +59 General Circulation(Fall 2023) →Assignments
- 06:0506:05, 6 November 2023 diff hist +1,137 N Namelist Assignment 2 2023 Created page with "姓名 学号 魏斯诚 201830012 潘云逸 201830049 李宜卓 201830062 王若骥 201830143 吴佳根 201830196 王奕 201840022 张顺伟 201840065 范禹韬 201840173 谭金林 201840222 张宁萌 201840254 武越 201840285 谢卫宏 201850142 艾真珍 502023280001 曹珩 502023280003 岑琦胜 502023280004 陈石 502023280006 成柯蒙 502023280007 丁思聪 502023280010 樊浩然 502023280011 费照轩 502023..." current
- 06:0006:00, 6 November 2023 diff hist +1 General Circulation(Fall 2023) →Assignments
- 05:5905:59, 6 November 2023 diff hist +55 General Circulation(Fall 2023) →Assignments
31 October 2023
- 10:0110:01, 31 October 2023 diff hist 0 高级算法 (Fall 2023) →Lecture Notes
- 10:0110:01, 31 October 2023 diff hist +10 高级算法 (Fall 2023) →Lecture Notes
29 October 2023
- 14:2814:28, 29 October 2023 diff hist +55 高级算法 (Fall 2023) →Lecture Notes
24 October 2023
- 12:3412:34, 24 October 2023 diff hist +1,130 N Namelist Assignment 1 2023 Created page with "姓名 学号 魏斯诚 201830012 潘云逸 201830049 李宜卓 201830062 王若骥 201830143 吴佳根 201830196 王奕 201840022 张顺伟 201840065 范禹韬 201840173 谭金林 201840222 张宁萌 201840254 武越 201840285 谢卫宏 201850142 樊浩然 501023280011 温康 501023280041 艾真珍 502023280001 曹珩 502023280003 岑琦胜 502023280004 陈石 502023280006 成柯蒙 502023280007 丁思聪 502023280010..." current
- 12:3012:30, 24 October 2023 diff hist +55 General Circulation(Fall 2023) →Assignments
- 03:2203:22, 24 October 2023 diff hist −57 高级算法 (Fall 2023)/Problem Set 1 No edit summary
21 October 2023
- 07:5407:54, 21 October 2023 diff hist +5 高级算法 (Fall 2023) →Lecture Notes
- 07:5207:52, 21 October 2023 diff hist +267 高级算法 (Fall 2023) →Lecture Notes
- 07:5107:51, 21 October 2023 diff hist +16,764 N 高级算法 (Fall 2023)/Dimension Reduction Created page with "= Metric Embedding= A '''metric space''' is a pair <math>(X,d)</math>, where <math>X</math> is a set and <math>d</math> is a '''metric''' (or '''distance''') on <math>X</math>, i.e., a function :<math>d:X^2\to\mathbb{R}_{\ge 0}</math> such that for any <math>x,y,z\in X</math>, the following axioms hold: # (identity of indiscernibles) <math>d(x,y)=0\Leftrightarrow x=y</math> # (symmetry) <math>d(x,y)=d(y,x)</math> # (triangle inequality) <math>d(x,z)\le d(x,y)+d(y,z)</ma..." current