/sci/ - Science & Math

I have to assume that it would have a positive effect, globally speaking, of there being much more women than men, then nature would have found a way to do it that way.
I have no clue about population dynamics, but I'm fairly sure that the more or less 50/50 is a Nash equilibrium.

(+2 internets for the first anon who finds a cinematic relationship between Jurassic Park and A Beautiful Mind.)

"mathematical concepts"
puh...
maybe objects nobod can see like higher dimensional knots?
Or spaces without proper points?
Or complexity classes, although pretty down to earth?
It should be something abstract, like topos theory?
Or maybe something about infinities?

my feel was that you'd get much more out of it if you knew the maths beforehand. With all that diffeomorphism invariance floating around, you get confused with what is physics and what is "just maths" and what is new with respect to classical mechanics

http://arxiv.org/abs/1110.1556

Give it a try without checking:

Problem 2: Find all functions F(x): R → R having the property that for any x1 and x2 the following inequality holds:
F(x1) − F(x2) ≤ (x1 − x2)2

>>3869253
anyway, here my results:

the curve is
-1+2*sqrt(1-x)+x
and the volume 5/6.
this is only 0.48... more than pi/4

>>3858459
ah na, then the exp eventually probably stems from the extensivity of entropy. or something like that. anyway, I can't really help you with that.

>>3712381
A reasonable argument agains negativ mass is the following:
Assuming locality, i.e. not allowing action at distance
http://en.wikipedia.org/wiki/Action_at_a_distance_%28physics%29
it follows that a relativistic Quantum Theory (Special Relativity + QM) must be a Field Theory, i.e. a Quantum Field Theory
http://en.wikipedia.org/wiki/Local_quantum_field_theory
The easiest relativitic theory is
http://en.wikipedia.org/wiki/Klein_gordon_equation#Action
Let u be the field (I don't wanna write \phi here), then the "action", i.e. integral of
-(∂u/∂x)^2-m^2·u^2
must be a minimum
http://en.wikipedia.org/wiki/Principle_of_least_action

Now if m<0
-(∂u/∂x)^2+|m^2|·u^2
and there is no bound to u. there is now a relative sign between the two terms such that the value of u and the change of u with x are allowed to go to infinity and the theory has no physical solutions.
The key word here is "spectrum condition", but there is no good wiki article on that.

...For some weeks now, I have the idea to do some math from ground up. Along with categorizing all I come across, just to paint myself a clear picture (starting with set theory, topology and cathegory theory)

>>3479628
you can easily construct one using polar coordinates. if it's the equation you want, then you can easily transform back later

>>3466805
Sure. I like me some german nerds.