I have a sum defined as
$
\sum_{\mu=0}^{k-1} f(\mu)
$
, what does it mean in the case that $k=0$? Then I have a sum running from $0$ to $-1$ which I suppose doesn't make sense? Wolfram alpha gives $0$ no matter what I put in for $f(\mu)$, why is this the case?
I think I have a better understanding of what this means in the context of integrals, but summations not so much. Is there a connection?
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