Example 4.7: The binomial distribution for large N, n Show that for large values of N and

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Example 4.7: The binomial distribution for large N, n Show that for large values of N and n the binomial distribution of Example 4.6 assumes the Gaussian form W(n) = Ne−|V2|(n−˜n)2/2, (4.62)

and determine the normalization constant N by evaluating N

n=0 W(n)

 N 0

W(n)dn = 1 (4.63)

(Answer: N =



|V2|/2π).

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Basics Of Statistical Physics

ISBN: 9789811256097

3rd Edition

Authors: Harald J W Muller-Kirsten

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