Ceiling

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Ceiling is a function that gives the smallest integer above a given real number $x$. It is generally notated $\lceil x\rceil$, or in computer programming languages, ceil(x). For example, $\lceil {\sqrt {48}}\rceil =7$. For $x\leq 0$, $\lceil x\rceil$ is the same as the integer part of $x$; but if $x>0$, then $\lceil x\rceil$ is one more than the integer part. For example, $\lceil \pi ^{2}\rceil =10$, but for $\lceil (\pi i)^{2}\rceil =-9$.

See also floor, Help:Calculation#Sgn function template and abs/trunc/floor/ceil operators