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• 08:13, 3 March 2023 User account Zhangxy talk contribs was created by Liuexp talk contribs
• 07:27, 2 March 2023 Chenxiaoyu talk contribs created page File:计算方法 Numerical method (Spring 2023)-计算方法2.pdf
• 07:27, 2 March 2023 Chenxiaoyu talk contribs uploaded File:计算方法 Numerical method (Spring 2023)-计算方法2.pdf
• 07:25, 2 March 2023 Chenxiaoyu talk contribs created page File:计算方法 Numerical method (Spring 2023)-Assignments2.pdf
• 07:25, 2 March 2023 Chenxiaoyu talk contribs uploaded File:计算方法 Numerical method (Spring 2023)-Assignments2.pdf
• 16:41, 1 March 2023 Chenxiaoyu talk contribs created page 计算方法 Numerical method (Spring 2023)/Homework1 提交名单 (Created page with " 如有错漏请邮件联系助教. <center> {| class="wikitable" |- ! 学号 !! 姓名 |- | 211240009 || 陆一阳 |- | 211840271 || 许宏洋 |- | 211220148 || 唐子汉 |- | 211240066 || 肖雨辰 |- | 211870268 || 唐炫 |- | 211220076 || 杨景越 |- | 211098322 || 陈思翔 |- | 211220118 || 刘艺葳 |- | 211220018 || 陈润涛 |- | 211502003 || 郭引商 |- | 211220166 || 王诚昊 |- | 211850020 || 王雷宇 |- | 211240090 || 林锟珉 |- | 211840165 || 孙源...")
• 05:40, 25 February 2023 User account Xyfu talk contribs was created by Liuexp talk contribs
• 05:39, 25 February 2023 User account Chenxiaoyu talk contribs was created by Liuexp talk contribs
• 13:28, 17 February 2023 Roundgod talk contribs created page 计算复杂性 (Spring 2023) (Created page with "{{Infobox |name = Infobox |bodystyle = |title = <font size=3>计算复杂性 <br>Computational Complexity</font> |titlestyle = |image = |imagestyle = |caption = |captionstyle = |headerstyle = background:#ccf; |labelstyle = background:#ddf; |datastyle = |header1 =Instructor |label1 = |data1 = |header2 = |label2 = |data2 = 姚鹏晖 |header3 = |label3 = Email |data3 = pyao@nju.edu.cn |header4 = |label4= Offi...") Tag: Visual edit: Switched
• 13:22, 16 February 2023 Etone talk contribs created page 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...")
• 10:26, 16 February 2023 Etone talk contribs created page File:Stanley-2e.jpg
• 10:26, 16 February 2023 Etone talk contribs uploaded File:Stanley-2e.jpg
• 13:57, 15 February 2023 Liuexp talk contribs created page 计算方法 Numerical method (Spring 2023) (Created page with "test")
• 07:28, 13 February 2023 Etone talk contribs created page File:Probability and Computing 2ed.jpg
• 07:28, 13 February 2023 Etone talk contribs uploaded File:Probability and Computing 2ed.jpg
• 07:18, 13 February 2023 Etone talk contribs uploaded a new version of File:Grimmett probability.jpg
• 07:16, 13 February 2023 Etone talk contribs created page File:Grimmett probability.jpg
• 07:16, 13 February 2023 Etone talk contribs uploaded File:Grimmett probability.jpg
• 07:14, 13 February 2023 Etone talk contribs created page File:概率导论.jpeg
• 07:14, 13 February 2023 Etone talk contribs uploaded File:概率导论.jpeg
• 07:04, 13 February 2023 Etone talk contribs created page 概率论与数理统计 (Spring 2023) (Created page with "{{Infobox |name = Infobox |bodystyle = |title = <font size=3>概率论与数理统计<br> Probability Theory and <br> Mathematical Statistics</font> |titlestyle = |image = |imagestyle = |caption = |captionstyle = |headerstyle = background:#ccf; |labelstyle = background:#ddf; |datastyle = |header1 =Instructors |label1 = |data1 = |header2 = |label2 = |data2 = 尹一通 |header3 = |label3 = Email |data3 = yinyt@...")
• 05:23, 13 February 2023 Etone talk contribs created page File:TheBook-6ed.jpeg
• 05:23, 13 February 2023 Etone talk contribs uploaded File:TheBook-6ed.jpeg
• 05:19, 13 February 2023 Etone talk contribs created page File:Alon-Spencer-4ed.jpg
• 05:19, 13 February 2023 Etone talk contribs uploaded File:Alon-Spencer-4ed.jpg
• 05:17, 13 February 2023 Etone talk contribs created page File:Lovasz-matching-theory.jpg
• 05:17, 13 February 2023 Etone talk contribs uploaded File:Lovasz-matching-theory.jpg
• 05:17, 13 February 2023 Etone talk contribs created page 组合数学 (Spring 2023)/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...")
• 05:07, 13 February 2023 Etone talk contribs created page 组合数学 (Spring 2023) (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 = yitong.yin@gmail.com yinyt@nju.edu.cn |header4 = |la...")
• 18:52, 5 January 2023 Roundgod talk contribs created page 高级算法 (Fall 2022)/第四次作业提交名单 (Created page with "如有错漏请邮件联系助教. <center> {| class="wikitable" |- ! 学号 !! 姓名 |- | 191220153 || 张丁楚 |- | 191240080 || 周晓 |- | 201220035 || 丁天行 |- | 201250217 || 章豪 |- | 201830122 || 邹忠奇 |- | 201840106 || 张弈垚 |- | 502022330003 || 陈浩宇 |- | 502022330007 || 陈瑄 |- | 502022330010 || 董世晨 |- | 502022330013 || 方子伊 |- | 502022330013 || 韩翔宇 |- | 502022330020 || 黄嘉铧 |- | 502022330044 || 王常新...")
• 06:48, 13 December 2022 Roundgod talk contribs created page 高级算法 (Fall 2022)/第三次作业提交名单 (Created page with "如有错漏请邮件联系助教. <center> {| class="wikitable" |- ! 学号 !! 姓名 |- | 191220153 || 张丁楚 |- | 191240080 || 周晓 |- | 201220035 || 丁天行 |- | 201250217 || 章豪 |- | 201830122 || 邹忠奇 |- | 201840106 || 张弈垚 |- | 502022330003 || 陈浩宇 |- | 502022330007 || 陈瑄 |- | 502022330010 || 董世晨 |- | 502022330013 || 方子伊 |- | 502022330013 || 韩翔宇 |- | 502022330020 || 黄嘉铧 |- | 502022330044 || 王常新...")
• 07:29, 12 December 2022 Gispzjz talk contribs created page 高级算法 (Fall 2022)/Problem Set 4 (Created page with "== Problem 1 == Suppose there is a coin <math> C </math>. During each query, it outputs HEAD with probability <math>p</math> and TAIL with probability <math>1-p</math>, where <math> p \in (0, 1) </math> is a real number. * Let <math> q \in (0, 1) </math> be another real number. Design an algorithm that outputs HEAD with probability <math>q</math> and TAIL with probability <math>1-q</math>. There is no other random sources for your algorithm except the coin <math>C</math...")
• 15:23, 29 November 2022 Etone talk contribs created page Assignment 4, Fall 2022 (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...")
• 06:53, 28 November 2022 Roundgod talk contribs created page 高级算法 (Fall 2022)/Problem Set 3 (Created page with "== Problem 1 == Let <math>N</math> be a set (the "universe") and <math>F</math> a function mapping subsets of <math>N</math> to real numbers. There are two different standard definitions of what it means for <math>F</math> to be '''submodular''': (i) For all <math>A</math>, <math>B</math>, :<math>F(A\cap B)+F(A\cup B)\leq F(A)+F(B)</math>. (ii) For all <math>A\subseteq B</math>, <math>j\notin B</math>, :<math>F(A\cup\{j\})-F(A)\geq F(B\cup\{j\})-F(B)</math>. Your ta...")
• 13:01, 24 November 2022 Roundgod talk contribs created page 高级算法 (Fall 2022)/第二次作业提交名单 (Created page with "如有错漏请邮件联系助教. <center> {| class="wikitable" |- ! 学号 !! 姓名 |- | 191220153 || 张丁楚 |- | 191240080 || 周晓 |- | 191250084 || 林均劼 |- | 201220035 || 丁天行 |- | 201250217 || 章豪 |- | 201840106 || 张弈垚 |- | 201830122 || 邹忠奇 |- | 502022330003 || 陈浩宇 |- | 502022330007 || 陈瑄 |- | 502022330010 || 董世晨 |- | 502022330013 || 方子伊 |- | 502022330013 || 韩翔宇 |- | 502022330020 || 黄嘉铧 |-...")
• 05:51, 23 November 2022 Etone talk contribs created page Namelist Assignment 3 2022 (Created page with "姓名 学号 周榆杰 191870288 罗健峰 191830098 欧阳玥芸 191830111 代欣怡 652022280002 丁宇轩 502022280004 窦吉斌 502022280006 方旭 502022280008 付凯杰 502022280009 何世诚 502022280011 胡书挥 502022280012 李晨曦 652022280005 李惠林 502022280016 李颜昀 502022280018 李颖 502022280019 林齐颢 502022280021 刘洪江 502022280024 刘芷含 502022280026 闵隽玉 502022280028 倪乘岚 5020222...")
• 15:45, 19 November 2022 Etone talk contribs created page 高级算法 (Fall 2022)/Greedy and Local Search (Created page with "= Scheduling = We consider the following scheduling problem: * There are <math>n</math> '''jobs''' to be processed. * There are <math>m</math> identical parallel '''machines'''. Each machine can start processing jobs at time 0 and can process at most one job at a time. * Each job <math>j=1,2,\ldots, n</math> must be processed on one of these machines for <math>p_j</math> time units without interruption. <math>p_j</math> is called the '''processing time''' of job <math>j...")
• 11:17, 9 November 2022 Etone talk contribs created page Namelist Assignment 2 2022 (Created page with "姓名 学号 周榆杰 191870288 罗健峰 191830098 欧阳玥芸 191830111 代欣怡 652022280002 丁宇轩 502022280004 窦吉斌 502022280006 付凯杰 502022280009 何世诚 502022280011 胡书挥 502022280012 李晨曦 652022280005 李惠林 502022280016 李颜昀 502022280018 李颖 502022280019 林齐颢 502022280021 刘洪江 502022280024 刘芷含 502022280026 闵隽玉 502022280028 倪乘岚 502022280030 孙楚 502022...")
• 10:10, 1 November 2022 Etone talk contribs created page Assignment 3, Fall 2022 (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^3 \phi - \dfrac{1}{4})+\Delta_v...")
• 02:59, 31 October 2022 Roundgod talk contribs created page 高级算法 (Fall 2022)/Problem Set 2 (added hw2 page)
• 02:39, 27 October 2022 Etone talk contribs created page Namelist Assignment 1 2022 (Created page with "姓名 学号 周榆杰 191870288 罗健峰 191830098 欧阳玥芸 191830111 孙森灿 191830136 代欣怡 652022280002 丁宇轩 502022280004 窦吉斌 502022280006 付凯杰 502022280009 何世诚 502022280011 胡书挥 502022280012 李晨曦 652022280005 李惠林 502022280016 李颜昀 502022280018 李颖 502022280019 林齐颢 502022280021 刘洪江 502022280024 刘芷含 502022280026 闵隽玉 502022280028 倪乘岚 502022280030 孙楚 5020...")
• 08:52, 25 October 2022 Roundgod talk contribs created page 高级算法 (Fall 2022)/第一次作业提交名单 (Created page with "如有错漏请邮件联系助教. <center> {| class="wikitable" |- ! 学号 !! 姓名 |- | 191220076 || 吕玉龙 |- | 191220153 || 张丁楚 |- | 191240080 || 周晓 |- | 191250084 || 林均劼 |- | 201220035 || 丁天行 |- | 201250217 || 章豪 |- | 201840106 || 张弈垚 |- | 201830122 || 邹忠奇 |- | 502022330003 || 陈浩宇 |- | 502022330007 || 陈瑄 |- | 502022330010 || 董世晨 |- | 502022330013 || 方子伊 |- | 502022330013 || 韩翔宇 |- |...")
• 09:32, 24 October 2022 Etone talk contribs created page 高级算法 (Fall 2022)/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...")
• 12:53, 11 October 2022 Etone talk contribs created page 高级算法 (Fall 2022)/Conditional expectations (Created page with "= Conditional Expectations = The '''conditional expectation''' of a random variable <math>Y</math> with respect to an event <math>\mathcal{E}</math> is defined by :<math> \mathbf{E}[Y\mid \mathcal{E}]=\sum_{y}y\Pr[Y=y\mid\mathcal{E}]. </math> In particular, if the event <math>\mathcal{E}</math> is <math>X=a</math>, the conditional expectation :<math> \mathbf{E}[Y\mid X=a] </math> defines a function :<math> f(a)=\mathbf{E}[Y\mid X=a]. </math> Thus, <math>\mathbf{E}[Y\mid...")
• 12:53, 11 October 2022 Etone talk contribs created page 高级算法 (Fall 2022)/Concentration of measure (Created page with "=Chernoff Bound= Suppose that we have a fair coin. If we toss it once, then the outcome is completely unpredictable. But if we toss it, say for 1000 times, then the number of HEADs is very likely to be around 500. This phenomenon, as illustrated in the following figure, is called the '''concentration''' of measure. The Chernoff bound is an inequality that characterizes the concentration phenomenon for the sum of independent trials. File:Coinflip.png|border|450px|cent...")
• 08:39, 9 October 2022 Gispzjz talk contribs created page 高级算法 (Fall 2022)/Problem Set 1 (Created page with "== Problem 1 == Modify the Karger's Contraction algorithm so that it works for the ''weighted min-cut problem''. Prove that the modified algorithm returns a weighted minimum cut with probability at least <math>\frac{2}{n(n-1)}</math>. The weighted min-cut problem is defined as follows. *'''Input''': an undirected weighted graph <math>G(V, E)</math>, where every edge <math>e \in E</math> is associated with a positive real weight <math>w_e</math>; *'''Output''': a cut <ma...")
• 02:51, 5 October 2022 Etone talk contribs created page Assignment 2, Fall 2022 (Created page with "<font color="red" size="2">请在题目一和题目二中任选一题作为本章的作业题目。另外的一题可作为选做题。</font> ==Question 1== 假设在大气层顶（TOA），在多年全年平均的情况下，入射的太阳辐射随纬度的分布满足 <math>\begin{align} Q&=Q_o \cdot s(x), \\ s(x)&=s_o \cdot P_o(x)+ s_2 \cdot P_2(x), \end{align}</math> 其中，<math>P_o(x)=1</math>, <math>P_2(x)=\frac{1}{2}(3x^2-1)</math>, <math>s_o=1</math>, <...")
• 15:49, 3 October 2022 Etone talk contribs created page 高级算法 (Fall 2022)/Basic tail inequalities (Created page with "=Markov's Inequality= One of the most natural information about a random variable is its expectation, which is the first moment of the random variable. Markov's inequality draws a tail bound for a random variable from its expectation. {{Theorem |Theorem (Markov's Inequality)| :Let <math>X</math> be a random variable assuming only nonnegative values. Then, for all <math>t>0</math>, ::<math>\begin{align} \Pr[X\ge t]\le \frac{\mathbf{E}[X]}{t}. \end{align}</math> }} {{Proo...")
• 15:48, 3 October 2022 Etone talk contribs created page 高级算法 (Fall 2022)/Hashing and Sketching (Created page with "=Distinct Elements= Consider the following problem of '''counting distinct elements''': Suppose that <math>\Omega</math> is a sufficiently large universe. *'''Input:''' a sequence of (not necessarily distinct) elements <math>x_1,x_2,\ldots,x_n\in\Omega</math>; *'''Output:''' an estimation of the total number of distinct elements <math>z=|\{x_1,x_2,\ldots,x_n\}|</math>. A straightforward way of solving this problem is to maintain a dictionary data structure, which costs...")
• 08:08, 26 September 2022 Etone talk contribs created page Assignment 1, Fall 2022 (Created page with "==Question #1== 请使用多年（>20年）的NCEP/NCAR月平均再分析资料，画出各季节（至少画出冬夏两季）纬向平均温度场、纬向平均纬向风场的高度－纬度剖面分布，并简述其分布特征和季节变化特征。 ==Question #2== 请使用多年（>20年）的NCEP/NCAR月平均再分析资料，画出各季节（至少画出冬夏两季）温度场、纬向风场在各高度（850、500、100 hPa， 对于温度场请再画...")