SE = standard error, expressed as sigma(x)
n = number of observations we take into account (from a total population) when calculating the standard error
sigma-index-x = standard deviation
N = total population
x-index-i = element of that population
mu = mean of the population
-> filled in all the...
It is not specified wether we are looking from our solar system or any random point in our Milky Way, I don't think you can just substitute r with r0...
The equation I found: dN/dm = f*n(r)*omega*r^2*ln(10)*10^((-M+m+5)/5)
It's a simple and elegant equation, and everything seems to make sense, except the part where I didn't use the given Taylor series, but it isn't explicitly said that I must use it, it's just a hint... (idk why I'm promoting my...
Well, they use the density of the stars near the Sun and its distance from the centre of the galaxy as an estimate, you could say a standard, for the density in the rest of the Milkyway. As you go further and further from the centre, the density decreases.
My hypothesis:
The number of red giants is equal to the number of stars times the given fraction f.
The number of stars in a solid angle omega, is given by the density distribution of stars in the Galaxy times the volume of the observed solid angle:
#RG = f*n(r)*V
where V = (d^3*omega)/3.
I...