# E X P = { <mtable columnalign="left left" rowspacing=".2em" columnspacing

$EXP=\left\{\begin{array}{ll}{n}^{3}\left(\frac{⌊\frac{n+1}{3}⌋+24}{50}\right)& n\le 15\\ {n}^{3}\left(\frac{n+14}{50}\right)& 15\le n\le 36\\ {n}^{3}\left(\frac{⌊\frac{n}{2}⌋+32}{50}\right)& 36\le n\le 100\end{array}$
In this equation there are 3 systems of equations, but there are inequalities next to them. Does this mean that for example we use the top equation when
$n\le 15\phantom{\rule{0ex}{0ex}}$
and so on?
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Krish Finley
Yes, you are correct, that's exactly what that means. This is an example of a piecewise function. The idea is that sometime, as in this case, it's useful to have a different rule for assigning outputs depending on the value of the input.
Kiana Harper