Since the distance between galaxies increases with time does that mean that the matter in those galaxies gets potential gravitational energy? and if so where does this energy come from?
my original question was simply
if its true that for any natural numbers a,b,p
(a+b)^p = a^p + b^p (mod p)
is satisfied if and only if p and (p-1)! are co-prime.
i now understand that the answer is no because even if the p factor is divided from p! it does not necessarily mean that the sum...
but the proof relies on
(a+b)^p = a^p + b^p (mod p)
http://content.answers.com/main/content/wp/en/math/c075c9f5f8cf5901bc7256b2ff1604ba.png
note here that i goes from 1 to p-1 so in order for the sum to be a multiple of p i! must be coprime to p for every value of i from 1 to p-1 or else i...
the reason I am asking this is because there is a proof to fermat's little theorem using this rule
"[URL
(its the Inductive proof with the binomial theorem)
what i can't understand is why fermat's little theorem sometimes works also for non prime numbers if the proof for this only works when...
this article is pretty much nonsense, nuclear power plants use very little amount of mass to get energy. from e=mc^2 its obvious that even a very small amount of matter produces vast amounds of energy, if anything the guy should be worrying about NASA just think about all the mass we take from...
prius is a car combining an electric engine with a gasoline engine.
http://en.wikipedia.org/wiki/Toyota_Prius
can someone please explain what's the benefit of a hybrid car like this over a regular one? since the accumulator of the electric engine is charged using the regular gasoline engine...
http://www.megalaser.com/gallery.htm
they sell class IIIB lasers are these pictures genuine?
can class IIIB lasers really show a beam without some medium like smoke?
a field is actually just a force that a particle feels.
so asking how fields propagate is the same as asking how forces propagate
and i think the answer is no one really knows they just do the only thing we know is that forces propagate at a constant speed of c (the speed of light)