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What is the lowest upper bound of standard deviation 
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#1
Jul2204, 12:49 AM

P: 190

for a normalized distribution function f(p) over a finite interval I,
f(p) >= 0, Int f(p) dp (over I) = 1 the standard deviation is given by the square root of <p^2>  <p>^2 = Int p^2 f(p) dp  (Int p f(p) dp)^2 how to find the lowest upper bound (if exists) of the standard deviation? Variational Calculus? 


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