3 interesting things  Pandas are cute.  Pandas are very cute.  Pandas are really very cute. (not scamming you, ok?)
2 important lessons  To bargain, start with about 40% of the given price. 
1 thing 
12 Nov 2011 (Saturday)
3 interesting things  McDonald's (麦当劳) is quite cheap in Shanghai (China).  上海书城 (Shanghai's City of Books): 1F  生活休闲, 2F  文学史地, 3F  社会, 4F  文化学科, 5F  科学技术, 6F  音像影视, 7F  艺术  The rice for dinner is crunchy. 晚餐的白饭真的是香脆可口。
2 important lessons  Take taxi  it's just slightly more expensive than taking MRT and you can come back earlier to do better things, for example reflections, which is what I am doing now.  Want to know how to alight from MRT? Click hereThe method: SHOUT "下车" and PUSH AWAY everyone standing between you and the door :)
1 thing 
11 Nov 2011 (Friday)
3 interesting things  Shanghai is becoming colder and colder.  Similar triangles are quite useful.  It is difficult to identify triangles for application of Menalaus Theorem.
2 important lessons  Concyclic points and similar triangles are useful in proving circle problems.  Applications of Menalaus and Ceva's Theorems in proving triangle problems.
1 question  More applications of Menalaus and Ceva's Theorems
10 Nov 2011 (Thursday)
3 interesting things  Geometry is more interesting than Number Theory.  You erase the unuseful lines while doing Geometry questions.  I ordered 必胜宅急送 (Pizza Hut Delivery) today.
2 important lessons  Proving similar triangles using the correct method: 两角对应相等 OR 两边对应成比例且夹角相等 OR 三边对应成比例  Tangent: 切线, secant: 割线, chord: 弦, arc: 弧, inscribed circle: 内切圆, circumcircle: 外接圆
1 question  Proof to Ceva's theorem (塞瓦定理)
Website of the Day
Ordered Pizza Hut Delivery  unable to do reflection. sad :(
9 Nov 2011 (Wednesday)
3 interesting things  Prof Liu went to HCI for the first time in the year 1991 (before Dr Ang LC came)  Most things sold in China, without price labels, can be bargained.  Shanghai is very cold, especially at night.
2 important lessons  More applications of Fermat's Little Theorem in solving problems  Use of AMGM and Cauchy–Schwarz Inequalities in proving other inequalities
1 question  Proof to AMGM Inequality
8 Nov 2011 (Tuesday)
3 interesting things  You cannot win the 468 game as the person who starts THE GAME. (see Appendix on 7 Nov for the rule)  There are Maths behind some magic tricks, especially when it involves poker cards.  Prof Liu is more pro than I expected :)
2 important lessons  Solve different types of problems using congruence  Fermat's Little Theorem and its application in solving problems
3 interesting things  Prof Liu has many students who are experts in Mathematics.  Delivery is called "宅急送" in Chinese.  People in Shanghai Yan An High School do not use forks.
2 important lessons  To win the 456 version of THE GAME.  To do a magic trick with 21 poker cards. (Want to see the trick? Come to room 9311 and look for Teow.)
1 question  How to win the 468 game as the person who starts THE GAME. (see Appendix for the rule) (Please come to room 9311/9313 to teach us. Thanks.)
Appendix: Rule of THE GAME 3 piles of cards are placed on the table. 2 players take turn to take cards from the table. Players can take any number of cards from only one pile of the cards. The player who takes the last card is the winner.
13 Nov 2011 (Sunday)
3 interesting things
 Pandas are cute.
 Pandas are very cute.
 Pandas are really very cute. (not scamming you, ok?)
2 important lessons
 To bargain, start with about 40% of the given price.

1 thing

12 Nov 2011 (Saturday)
3 interesting things
 McDonald's (麦当劳) is quite cheap in Shanghai (China).
 上海书城 (Shanghai's City of Books): 1F  生活休闲, 2F  文学史地, 3F  社会, 4F  文化学科, 5F  科学技术, 6F  音像影视, 7F  艺术
 The rice for dinner is crunchy. 晚餐的白饭真的是香脆可口。
2 important lessons
 Take taxi  it's just slightly more expensive than taking MRT and you can come back earlier to do better things, for example reflections, which is what I am doing now.
 Want to know how to alight from MRT? Click here
1 thing

11 Nov 2011 (Friday)
3 interesting things
 Shanghai is becoming colder and colder.
 Similar triangles are quite useful.
 It is difficult to identify triangles for application of Menalaus Theorem.
2 important lessons
 Concyclic points and similar triangles are useful in proving circle problems.
 Applications of Menalaus and Ceva's Theorems in proving triangle problems.
1 question
 More applications of Menalaus and Ceva's Theorems
10 Nov 2011 (Thursday)
3 interesting things
 Geometry is more interesting than Number Theory.
 You erase the unuseful lines while doing Geometry questions.
 I ordered 必胜宅急送 (Pizza Hut Delivery) today.
2 important lessons
 Proving similar triangles using the correct method: 两角对应相等 OR 两边对应成比例且夹角相等 OR 三边对应成比例
 Tangent: 切线, secant: 割线, chord: 弦, arc: 弧, inscribed circle: 内切圆, circumcircle: 外接圆
1 question
 Proof to Ceva's theorem (塞瓦定理)
Ordered Pizza Hut Delivery  unable to do reflection. sad :(
9 Nov 2011 (Wednesday)
3 interesting things
 Prof Liu went to HCI for the first time in the year 1991 (before Dr Ang LC came)
 Most things sold in China, without price labels, can be bargained.
 Shanghai is very cold, especially at night.
2 important lessons
 More applications of Fermat's Little Theorem in solving problems
 Use of AMGM and Cauchy–Schwarz Inequalities in proving other inequalities
1 question
 Proof to AMGM Inequality
8 Nov 2011 (Tuesday)
3 interesting things
 You cannot win the 468 game as the person who starts THE GAME. (see Appendix on 7 Nov for the rule)
 There are Maths behind some magic tricks, especially when it involves poker cards.
 Prof Liu is more pro than I expected :)
2 important lessons
 Solve different types of problems using congruence
 Fermat's Little Theorem and its application in solving problems
1 question
 Chinese Remainder Theorem and its application
7 Nov 2011 (Monday)
3 interesting things
 Prof Liu has many students who are experts in Mathematics.
 Delivery is called "宅急送" in Chinese.
 People in Shanghai Yan An High School do not use forks.
2 important lessons
 To win the 456 version of THE GAME.
 To do a magic trick with 21 poker cards.
(Want to see the trick? Come to room 9311 and look for Teow.)
1 question
 How to win the 468 game as the person who starts THE GAME. (see Appendix for the rule)
(Please come to room 9311/9313 to teach us. Thanks.)
3 piles of cards are placed on the table.
2 players take turn to take cards from the table.
Players can take any number of cards from only one pile of the cards.
The player who takes the last card is the winner.