Re: if a + b + ... + c = d then NOT f(a) + f(b) + ... + f(c) = f(d)?




Randy Poe wrote:
> Marius wrote:

<snip>

>
> How about f(k) = k+1?
>
> Then sum(k=1 to n) f(a_k) = n + sum(k=1 to n) a_k
> = n + d > f(d), so long as n > 1.
>
> - Randy

How about any function that isn't affine?

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