Confirm Normalization: Is Something Wrong?

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SUMMARY

The discussion centers on the normalization of a discrete function represented by the equation \(\frac{1}{2}\sum^{N}_{i = 1}P_{i}(\Theta)\Delta\Theta_{i} = 1\). The user reports consistently obtaining results on the order of \(10^4\), indicating the function is not normalized. The conversation highlights the need for a correct normalization process, suggesting that the formula provided may be incorrect. The primary focus is on identifying the proper method to achieve normalization for discrete functions.

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Somefantastik
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Hey folks.

I was asked to confirm that the attached discrete function is normalized.

The function to check the normalization that I was provided with is

[tex]\frac{1}{2}\sum^{N}_{i = 1}P_{i}(\Theta)\Delta\Theta_{i} = 1[/tex]

No matter what I do, I get a number on the order of 10^4, not anything close to 1.

Is there something wrong with the data, or is there something wrong with me? If you look at the first couple of values, you can see that the value is >>1 which I don't understand how I can ever bring that down.
 

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My guess is that the question might be to find the normalization. You are right in that it is not normalized.
 
Perhaps. That means my formula is wrong. What is the process usually used to normalize a discrete function like this?
 

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