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

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

Answer 1

[Thorsten]

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]

Thanks for your answer. But for a=2, b=3, c=4 and d=5 it holds!

[kader]

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

[Guillaume]

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