Homework Statement
By considering the force-separation curve for two adjacent atoms in a solid, f(x), show that the Young’s modulus can be expressed on the microscopic scale as:
Y = - \frac{1}{x_0} \frac{df}{dx}\right| |_{x=x_0}
(the | is meant to go allt he way form the top to bottom of...
I read this in a book (it was stats and about poisson approx to normal)
Given was this:
n(n-1)(n-2) \cdots (n-r+1) = \frac{n!}{(n-r)!} \approx n^r
Stating that "Stirling's approximation" had been used.
So I looked the up and found:
\ln n! \approx n\ln n - n\
In the poisson...