Difference between revisions of "Ceiling"
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Latest revision as of 12:44, 14 July 2023
The ceiling function $\mathrm{ceil} \colon \mathbb{R} \rightarrow \mathbb{Z}$ (sometimes written $\lceil x \rceil$) is defined by $$\mathrm{ceil}(x) \equiv \lceil x \rceil = \min \{ y \in \mathbb{Z} \colon y \geq x \},$$ i.e., the smallest integer greater than or equal to $x$.
Graph of $\mathrm{ceil}$.
Software
Ceiling is implemented in the Wolfram Language as Ceiling.
| Software | Implementation | Notes |
|---|---|---|
| Mathematica | Ceiling[x] | it begins with a capital letter and is fully spelled out with square brackets |
| Python | ceil(x) | it is lowercase with parentheses and is abbreviated |
| R | ceiling() | it is lowercase with parentheses and is fully spelled out |
