Difference between revisions of "Ceiling"
From specialfunctionswiki
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$$\lceil x \rceil = \min \{ y \in \mathbb{Z} \colon y \geq x \},$$ | $$\lceil x \rceil = \min \{ y \in \mathbb{Z} \colon y \geq x \},$$ | ||
i.e., the smallest integer greater than or equal to $x$. | i.e., the smallest integer greater than or equal to $x$. | ||
| + | |||
| + | <div align="center"> | ||
| + | <gallery> | ||
| + | File:Celingplot.png|Graph of $\mathrm{ceil}$. | ||
| + | </gallery> | ||
| + | </div> | ||
| + | |||
| + | =See Also= | ||
| + | [[Floor]]<br /> | ||
[[Category:SpecialFunction]] | [[Category:SpecialFunction]] | ||
Revision as of 19:48, 3 June 2016
The ceiling function $\lceil \cdot \rceil \colon \mathbb{R} \rightarrow \mathbb{Z}$ is defined by $$\lceil x \rceil = \min \{ y \in \mathbb{Z} \colon y \geq x \},$$ i.e., the smallest integer greater than or equal to $x$.
Graph of $\mathrm{ceil}$.
