Difference between revisions of "Ceiling"
From specialfunctionswiki
(I discuss the Wolfram Language.) |
(I added a table for different softwares.) |
||
| Line 11: | Line 11: | ||
=Software= | =Software= | ||
Ceiling is implemented in the Wolfram Language as Ceiling. | Ceiling is implemented in the Wolfram Language as Ceiling. | ||
| + | |||
| + | {| class="wikitable" style="margin:auto" | ||
| + | |+ Caption text | ||
| + | |- | ||
| + | ! 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 | ||
| + | |} | ||
| + | |||
=See Also= | =See Also= | ||
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 |
