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Young's modulus in microscopic terms
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...- Mathsboi
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- Modulus Terms Young's modulus
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- Forum: Advanced Physics Homework Help
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Graduate How Does Stirling's Approximation Simplify Poisson to Normal Approximation?
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...- Mathsboi
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- Approximation Proof
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- Forum: Linear and Abstract Algebra