Is the equality min(a/(b+1), c/(d+1))=min(a,c)/(min(b,d)+1) hold?

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kader 2016-8-3

评论： Guillaume 2016-8-3

Dear Altruist,

With the Matlab simulation i.e numerically I can prove that the following equality holds.

min(a/(b+1), c/(d+1))=min(a,c)/(min(b,d)+1), where a, b, c, d are the variables.

Can anyone please prove that the above equality holds through the mathematical derivation?

Thanks in advance Kader

Thorsten 2016-8-3

It does not hold. Try

 a = 1; b = 8; c = 4; d = 3;
 min(a/(b+1), c/(d+1))
 min(a,c)/(min(b,d)+1),

kader 2016-8-3

So, is there any possible condition can be provided for which it holds?

Guillaume 2016-8-3

Possibly. However, this has nothing to do with matlab, so would need to be asked on a math forum.

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