Recent content by precondition

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    Programs Math PhD shorter than physics PhD?

    Conjecture: Math PhD is generally(with appropriate definition of generally) shorter in duration than physics PhD. (PhD programmes in US is under consideration and universities in question are say top 10) Anyone with proof? I have an impression that math PhD is normally ~4 years whereas...
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    Math and physics program

    Ambitious but realistic? That is indeed an ambitious plan and I have nothing against your willingness and motivation to commit yourself to indulge in such courses but it does raise few questions... 1. Is it a realistic plan? Many of the courses you listed are quite advanced both in...
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    Masters necessary/unnecessary?

    In commonwealth education system we have BSc(3 years and equivalent to US BA 4 year system) --> BSc Honours (1 year of taking 'graduate' papers and we do a small research project) --> Masters (can take at most 2 graduate papers and we do a thesis) --> PhD (thesis) Now, from my understanding...
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    Masters necessary/unnecessary?

    I had hard time deciding over math or physics and now I am faced with another hard decision... Based on advices that I get, it's half half. Surely there are goods and bads for both options and if that's the case I might as well flip a coin and decide...
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    Masters necessary/unnecessary?

    Option 1: BSc(with Honours) (4 years) ---> PhD(overseas) Option 2: BSc(with Honours) (4 years) ---> MSc (1 year) ---> PhD(overseas) Until now I was considering taking option 1, but when I talked with my supervisor recently he advised me option2 with his reasons being: 1. For someone...
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    Meaning of 'Canonical'

    V is a canonical vector space, and so is V* above sentence still confuses me because how could you incorporate the meaning: 'without any choices having to be made' or 'independent of any choices made' then? i.e. V is a vector space without any choices of basis having to be made? is that...
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    Meaning of 'Canonical'

    I'm not exactly sure if this is the right place to post this, but assuming it is, what is the meaning of 'canonical'? Someone told me that roughly speaking, it means "given from God" or something like that, when I look up wikipedia it says "standard" etc, I read from books that it means...
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    Schools Seeking some info on MIT math graduate school

    you are saying top 20-25 schools are unreachable? are you saying this on your behalf or mine?
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    Schools Seeking some info on MIT math graduate school

    I thought Princeton and Harvard is beyond reach for ordinary people and I guess I should add MIT to the list. This makes me wonder, what schools 'are' reachable? Say, Stanford, Caltech etc? or they too are up there?
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    Schools Seeking some info on MIT math graduate school

    mathwonk, thank you for your suggestion of contacting listed people, however I noticed that all of them have somewhat different research interest to mine so I'm thinking of contacting department secretary first to guide me to correct person.
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    Schools Seeking some info on MIT math graduate school

    i see Thank you for your replies. mathwonk said "maybe good showing on the Putnam exam, would be nice." Unfortunately I'm not US resident and such competition is not very active in this country. To be honest that sort of thing is what I think will hurt my chances mostly because I came...
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    Schools Seeking some info on MIT math graduate school

    thanks for that info Thanks for that info I'm waiting for their reply at the moment, I think they are still on holidays I'm quite surprised that penn state university requires rather high scores, I guess I'm not very wrong in presuming that MIT probably requires say 3.9+gpa and 900+ gre...
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    Schools Seeking some info on MIT math graduate school

    Google is quite useless in seeking such information so let me try it here, in case anyone knows any others who got into MIT math graduate school etc The sort of information I'm seeking here is 1)expected GPA 2)expected GRE(subject) Also, do you have to be one of those gifted genius who...
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    Is Hom(Lambda^k(V),Lambda^(k+1)(V)) and element of End(Lambda(V))?

    I agree with matt grime Yes I agree with what matt grime said, When I carefully read the text again it said, "Let V-->Hom(Lambda^kV, Lambda^(k+1)V) be the action of V on LambdaV" and since action of V on LambdaV is precisely the homomorphism between V and End(LambdaV) I can see that an...
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    Is Hom(Lambda^k(V),Lambda^(k+1)(V)) and element of End(Lambda(V))?

    Sorry I don't know how to write in symbols so I'm using Latex codes, anyway, the question is as in title: Is an element of Hom(Lambda^k(V),Lambda^(k+1)(V)) and element of End(Lambda(V))? In words, is an element of the homomorphism between k th grade exterior algebra over V and k+1 th...
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