Edison Chen
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Edison, are these probs from this yr's math olympiad?
Yes, they are, you can download them from the olympiad website.
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Edison, are these probs from this yr's math olympiad?
I agree, the math in the general GRE test is very simple.
Try the math subject GRE. GRE Subject Tests: Mathematics
Definitely not as hard as math Olympiad but if you could score perfect on that test, then you likely know everything about undergraduate math for a math major.Yeah! GRE subject tests are very challenging IMO.I agree, the math in the general GRE test is very simple.
Try the math subject GRE. GRE Subject Tests: Mathematics
Definitely not as hard as math Olympiad but if you could score perfect on that test, then you likely know everything about undergraduate math for a math.
Also this is the list for most prominent awards in Mathematics around the world.
Wolf Prize in Mathematics - Wikipedia, the free encyclopedia
Abel Prize - Wikipedia, the free encyclopedia
Fields Medal - Wikipedia, the free encyclopedia
By seeing the list I think Chinese are training students specifically for IMO. Which in my opinion is not a good idea.
While what you said might be true, I still think Chinese education is not as good as American and European countries. I mean I met some Chinese students here in USA and often they complain about lack of thinking process in school level.Lots of the participants who have won a Fields Medal or EMS Prize are from the 1960s, 70s, and 80s. China only started competing at the IMO in 1985. There's often a time lag between making a significant contribution to mathematics and receiving an award for it. Of course, there are also many notable tenured mathematicians who will never receive a Fields Medal or EMS Prize. Those awards are not the only measure of success.
I can give rough answers for first two -
View attachment 38456
Dude I scored perfect in GRE very easily and I am only an average Indian student. I didnt even pass in distinction in my undergrad.
Keep in mind that the Russia was considerably behind Europe in mathematics, but Soviet mathematics is excellent, infact, 1/4 of the math/cs/engineering/physics professors in the US are from the former soviet union. The soviets achieved this through intense training for IMO.
Doesnt work for n=2I can give rough answers for first two -
View attachment 38456
Sorry I was talking about the first one.Sorry but your answer is incorrect.
The sequence a_n is arbitrary, so you can't assume a_0 = 0, a_1 = 1, ect.
You have to prove that for any arbitrary strictly monotonically increasing sequence of positive integers, there exists a natural number n>1, such that ... ect
Which GRE test are you talking about.
There is general test (I assume this is the one you took)
and a Math subject test (strictly for people entering Math PhD programs)
Sorry but your answer is incorrect.
The sequence a_n is arbitrary, so you can't assume a_0 = 0, a_1 = 1, ect.
You have to prove that for any arbitrary strictly monotonically increasing sequence of positive integers, there exists a natural number n>1, such that ... ect
Then the top notch mathematicians of any era have to be trained long time to win in math olympiad.Yes, they are, you can download them from the olympiad website.
Would not work for any other n. It is unique.Doesnt work for n=2
While what you said might be true, I still think Chinese education is not as good as American and European countries. I mean I met some Chinese students here in USA and often they complain about lack of thinking process in school level.
Depends, American primary and secondary education is significantly behind other countries (cite: PISA scores).
America universities are the best in the world in terms of research, papers published, ect, but that is because we imported a lot of brilliant people when the Soviet Union fell.
Right now, we are importing Chinese scientists (and Indians as well) into American universities.
#1 People's Republic of China
#2 United States of America
#3 Taiwan
#4 Russian Federation
#5 Japan
#6 Ukraine
#7 Republic of Korea
#8 Singapore
#9 Canada
#10 Vietnam
#11 Australia / Romania
#13 Netherlands
#14 Democratic People's Republic of Korea
#15 Hungary
#16 Germany
#17 Turkey
#18 Hong Kong / Israel
#20 United Kingdom
#21 Islamic Republic of Iran / Thailand
#23 Kazakhstan / Malaysia / Serbia
#26 Italy / Mexico / Poland
#29 Croatia / Indonesia / Peru
#32 Czech Republic
#33 Portugal
#34 Belarus / Brazil / Slovakia
#37 Bulgaria
#38 Switzerland
#39 Armenia / India
#41 Greece
#42 Lithuania
#43 Saudi Arabia
#44 Mongolia
#45 France / Philippines
#47 Georgia
#48 Republic of Moldova / Spain
#50 Tajikistan
#51 Austria / Bosnia and Herzegovina
#53 Bangladesh
#54 Colombia / Sri Lanka
#56 Argentina
#57 Sweden
#58 Slovenia
#59 Belgium
#60 New Zealand
#61 Azerbaijan
#62 Macau
#63 Costa Rica
#64 Ireland / South Africa
#66 Latvia
#67 Denmark / The former Yugoslav Republic of Macedonia
#69 Norway
#70 Finland
#71 Paraguay
#72 Cyprus / Syria
#74 Estonia
#75 Pakistan
#76 Iceland
#77 Albania
#78 Morocco
#79 Luxembourg
#80 Tunisia
#81 Chile
#82 Nigeria / Trinidad and Tobago
#84 Uruguay
#85 Kyrgyzstan
#86 Venezuela
#87 Liechtenstein
#88 Montenegro
#89 Burkina Faso / Ecuador
#91 Puerto Rico
#92 Cuba
#93 Panama
#94 Bolivia / Uganda / Zimbabwe
#97 Ivory Coast
#98 Benin
#99 Tanzania
#100 Gambia
#101 Ghana
You would think that with a population of 1 billion+ people, India would be able to assemble a formidable math team that could place higher than 39. Yes, 39. Right next to Armenia.
Instead not only does India get slaughtered by China, the Koreas, Japan, Vietnam, even tiny Singapore and Hong Kong, but it's also consistently outperformed by much smaller European countries like Hungary, Romania, and Serbia. Even a modest-sized Third World country like Peru has a better IMO track record in recent years than India.
Where are all these Indian mathematical geniuses we hear so much about?
Uh, as I said, there's a difference between finding students talented enough and finding students who have prepared specifically for such an olympiad almost their entire lives, as happens in China and the US.
While what you said might be true, I still think Chinese education is not as good as American and European countries. I mean I met some Chinese students here in USA and often they complain about lack of thinking process in school level.
I saw the article. There is a list for IMO participants have gone on to become notable mathematicians. There is not even a single Chinese participant. Any reason..?