Ceiling

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The ceiling function $\mathrm{ceil} \colon \mathbb{R} \rightarrow \mathbb{Z}$ is defined by $$\mathrm{ceil}(x) = \min \{ y \in \mathbb{Z} \colon y \geq x \},$$ i.e., the smallest integer greater than or equal to $x$. It is sometimes denoted by $\lceil x \rceil$.

See Also

Floor