/sci/ - Science & Math

>>11376376
>I've sworn to myself to never look back on math/physics graduate schools
Anon... applicants change from year to year, this year could just be an especially competitive one. Active profs will usually take in around one students per year, so if you got edged out by some one-in-a-million genius this year it just means you won't get edged out next year, even with the same application.
If you're truly passionate about it then you should by any means at least try once more.

>>10936286
>normal bundles
>arbitrary
And yes, they are vector-valued fields.

>>10528931
>set of statements
So you think "q = 1 for all q in R" is |R| many sentences? Holy shit that's hilarious LMAO
>tfw people invoke uncountably many statements whenever an [math]\epsilon-\delta[/math] proof is written
>tfw Aquinas, Descartes and all classical analytics BTFO

>>10251453
It's an application of the Radon-Nikodym theorem.

>>10030412
Work in academia
>great colleagues as company
>chill boss
>get paid to travel and do things I enjoy
>intellectual freedom
>bunch of high quality boys to date
Work in private sector
>trash jaded coworkers as company
>retarded boss
>even more retarded subordinates
>little to no intellectual freedom
>depressing environment
>works ass off to pay for boss's private jet
How out of touch are you, kid?

>>9684847
Did you read the hint? Find the electric field due to the whole sphere and then subtract the electric field due to the carved out cavity.

>>9480915
>do you think im on the right track or not?
Assuming anything that is not proven (except axioms lol) cannot yield a proof. Any mathematician thinking otherwise is an idiot.

>>9419159
There's nothing wrong with that. Wrong opinions like the ones you have really shouldn't be allowed though.

>>9396159
How is that not a real answer? Physics is really cool and fun, so are blackholes and astrophysics.

>>9394858
It goes "Theorem (Author, [Book]):".
>>9394897
One is the Lorentz boost of the other.
>>9394940
Domain wall defects caused by the ferromagnetic order parameter.

>>9391781
Read Baez's Guage Fields, Knots and Gravity.
>have an oversimplified toy model of an interaction on a small scale, but get all these interesting phenomena after re-normalizing to a larger scale. I mean, this is essentially what's happening in QFT, right?
Not really.

>>9318996
To what extent do you know calculus?
>>9319612
It'll give you a superficial understanding of other areas of math and all you'll be capable of doing is abstract wank that serves no purpose. For instance there's no way for anyone to extract the definition of functional germs from the categorical definition of a sheaf, and the latter isn't nearly as useful (or even usable) in the algebraic geometry of Riemannian surfaces as the former.

>>9317207
>he doesn't fuck his supervisor for fun
>he thinks the only reason to fuck his supervisor is to get papers published

>>9311630