/sci/ - Science & Math

Is it realistic if my dreams are to be a researcher mathematician and at the same time be a manga writer and artist?

>>11486589
>being unable to solve problems in General Topology
General Topology is one of those subjects where you can genuinely make up for the lack of talent with memory. Just memorize all the theorems.
>inb4 talking from experience?
Pretty much.

>>11472963
It happens every now and then.
>>11474681
Am I reading it wrong or did you bound [math]|log(x)| < |x|[/math]?
Because that doesn't work.
I'd probably solve it like this: set [math]a(t) = min_{||(x, y)|| = t^2} xy[/math], [math]b(t) = max_{||(x, y)||= t^2} xy[/math].
These are two classical, easy to solve maximization/minimization problems (I recall that maximization occured with (c, c) and minimization with (c, -c) ), and you'll get a somewhat clean function of t.
Then, [math]\lim _{t \rightarrow 0} a(t)log(t^2) \leq \lim _{(x, y) \rightarrow 0} xy ~ \log(x^2+y^2) \leq \lim _{t \rightarrow 0} b(t)log(t^2)[/math].
Then I'd just throw L'Hospital at it like a faggot.