/sci/ - Science & Math

>>3639513
Someone's mad.
(however, I have to admit, that atm I don't see why you could stop checking at 2730)

>>3639492
lol, physicist hivemind

>>3115148
also depends on if you consider scattered photons to be the same particles as before the bang.

imb4 Schrödinger jokes

(also sagin')

I was gonna answer over one hour ago but then decided it's not worth it. anyway, still you are still struggling...

refering to only the red box and your post:

so it says

f(x)<4x^2

and you say "4 * (1/2) ^ 2 = 1" is a contradiction, but why?
you just showed that f(1/2)<1.
you seem to be implying that the satement is

4x^2<x

since in showing "4 * (1/2) ^ 2 = 1" you don't even use the unknown f(x)

>Are linear maps the only homomorphisms in vector spaces?
yes. if it's not linear than it doesn't preserve the structure of the vector space.
>Or are non-lineair maps possible too?
yes. If you consider R to be a vector space, then f(a)=a^2 is nonlinear. however, that's not a homomorphism since
f(a)+f(b)=a^2+b^2=f(a+b)-2ab

derivative of x^n is n·x^(n-1), and

1/x^2 = x^(-2), so the derivative is

(-2)·x^((-2)-1)=-2·x^(-3)=-2/x^3

alternatively, using the quotient rule

1/x^2 = f/g with f=1 and g=x^2

(f'·g-f·g')/g^2 = (0-2x)/(x^2)^2=-2/x^3

H = 265 m
h(t) = height of the package, which gets smaller with time.
The Distance d(t)=d_0-v*t, You start (t=0) in a distance of
d(t)=d_0-v*t=d_0
and after some time you are above the climbers d(t)=0,
you want to know d_0, you know the velocity, you only need the time, which is the time the package will fall.

h(t) = H - g*(t^2/2)

set h(t)=0 and solve for t

>>2853315
Which are these boundaries?
Also, are you talking about a derivation in terms of statistical mechanics?