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[?] Simplify function Cov, wich is independent of s, when A=0, 1 ?

Zhehao Zhang
Posted 7 years ago

Hey guys, I got a simplification question again.

I am trying to show the function Cov is independent of s, which turns out to be true when A=0, 1 and some numerical tests. Mathematica is not able to give FullSimplification result after 2 hours running. So I am wondering is there any other way to show this function is independent of s. I tried differentiate w.r.t s, while the function is still complicated to be simplified.

Please find my function Cov in the attachment. You may oonsider f and g are two constants in the function. Be careful about the domain of parameters.

Thanks in advance.

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POSTED BY: Zhehao Zhang
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Here it is:

Simplify[Cov[1/2, 2, 1, 2, 1, s] /. {f -> 1, g -> 2}]
POSTED BY: Gianluca Gorni
Zhehao Zhang
Zhehao Zhang
Posted 7 years ago

Thanks. I like your example.
POSTED BY: Zhehao Zhang

If I don't misunderstand your code, it seems to me that your Cov does depend on s:

Simplify[Cov[4, -1, 1, 2, 1, s] /. {f -> 1, g -> 2}]
POSTED BY: Gianluca Gorni
Zhehao Zhang
Zhehao Zhang
Posted 7 years ago

Thanks for the example.

I am sorry I forgot to mention the domain of these parameters. $\delta$ should be greater than 0 and A is between 0 and 1. Let me know if you still have another one.
POSTED BY: Zhehao Zhang
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