Expectation of an absolute value

kungal
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Homework Statement



I have

Code: 
E(a) = 0, E(b) = x but E(|a+b|)=??
where E is the expectations operator and x is a known constant which is greater than zero.

Homework Equations





Any one know how I would go about determining E(|a+b|)?
 
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hmm...all I know is that E(|a+b|) >= |E(a+b)| = |E(a) + E(b)| = |x| = x. I hope this helps?
 

Thread 'Finding the nth roots of a complex number'

There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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