组合数学 (Fall 2019)/Problem Set 2 and 大气环流 (Fall 2019): Difference between pages

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<font color="red" size=5>Under Construction</font>
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|title        = 大气环流 <br>
General Circulation of the Atmosphere
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== Problem 1 ==
|image        = [[File:Yang_2014_3.jpg|border|150px]]
假设我们班上有n+2个人，其中两个人是DNA完全相同的双胞胎。我们收上n+2份作业后，将这些作业打乱后发回给全班同学，每人一份。要求每个人不可以收到自己那一份作业或者与自己DNA相同的人的作业。令<math>T_n</math>表示满足这个要求的发回作业的方式，问：
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* 计算<math>T_n</math>是多少；
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* 在<math>n\to\infty</math>时，随机重排并发回作业后，满足上述要求的概率是多少。
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== Problem 2 ==
|header1 =Instructor
你要设计一个标志，以下形状中的12条等长线段可以分别由红、绿、蓝三色之一构成。要求考虑这个形状的“转动”和“反转”两种对称。
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|data2  = 张洋
|header3 =
|label3  = Email
|data3  = yangzhang@nju.edu.cn
|header4 =
|label4= office
|data4= 仙林气象楼 B410
|header5 = Class
|label5  =
|data5  =
|header6 =
|label6  = Class meetings
|data6  = 周二 下午 2:00-4:00、<br>周四 下午2:00-4:00<br>仙 I-408
|header7 =
|label7  = Place
|data7  =
|header8 =
|label8  = Office hours
|data8  = 周四（双周）下午6:30-7:30 <br>仙林大气楼 B410
|header9 = Reference book
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|data10  = {{Infobox
|name        =  
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|title        =  
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|image        = [[File:James-Circulating.jpg|border|100px]]
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|caption     = Introduction to Circulating Atmospheres, <br>''I. James'', Cambridge Press, 1995
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|name        =
|bodystyle =
|title        =
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|image        = [[File:Oort.jpg|border|100px]]
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|caption      =Physics of Climate, ''Peixoto, J. P.'' and ''A. H. Oort'',  Springer-Verlag New York, 1992
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}}
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|name        =
|bodystyle  =
|title        =
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|image        = [[File:geoff.jpg|border|100px]]
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|caption      =Atmospheric and Oceanic Fluid Dynamics: Fundamentals and Large-scale Circulation, ''Vallis, G. K.'', Cambridge University Press, 2006
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}}
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}}


*定义对称构成的群，可以通过生成元定义，也可以直接把元素都写出来；
*写出cycle index和pattern inventory；
*直接写出三种颜色出现的次数一样多的次数。可以借助一些数学软件如Mathematica的帮助。


== Problem 3 ==
This is the page for the class ''General Circulation of the Atmosphere (大气环流)'' for the Fall 2018 semester. Students who take this class should check this page periodically for content updates and new announcements.
(All permutation are supposed to have an equal probability of selection).  
 
* What is the probability that the cycle containing 1 has length k?
= Announcement =
* What is the expected number of cycles?
* 本周二（10.16）的大气环流课因故停课一次。【2018.10.15】
* 本学期大气环流课的答疑时间更改至  <font color="red" size="2>周四（双周）下午 6:30-7:30 </font>。【2018.10.24】

Revision as of 15:58, 21 October 2019

大气环流
General Circulation of the Atmosphere
File:Yang 2014 3.jpg
Instructor
张洋
Email yangzhang@nju.edu.cn
office 仙林气象楼 B410
Class
Class meetings 周二 下午 2:00-4:00、
周四 下午2:00-4:00
仙 I-408
Office hours 周四（双周）下午6:30-7:30
仙林大气楼 B410
Reference book
File:James-Circulating.jpg
Introduction to Circulating Atmospheres,
I. James, Cambridge Press, 1995
File:Oort.jpg
Physics of Climate, Peixoto, J. P. and A. H. Oort, Springer-Verlag New York, 1992
File:Geoff.jpg
Atmospheric and Oceanic Fluid Dynamics: Fundamentals and Large-scale Circulation, Vallis, G. K., Cambridge University Press, 2006
v · d · e


This is the page for the class General Circulation of the Atmosphere (大气环流) for the Fall 2018 semester. Students who take this class should check this page periodically for content updates and new announcements.

Announcement

  • 本周二（10.16）的大气环流课因故停课一次。【2018.10.15】
  • 本学期大气环流课的答疑时间更改至 周四（双周）下午 6:30-7:30 。【2018.10.24】
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