Definition:Ceiling Function/Definition 3
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Definition
Let $x$ be a real number.
The ceiling function of $x$ is the unique integer $\ceiling x$ such that:
- $\ceiling x - 1 < x \le \ceiling x$
Also known as
The ceiling function is also known as the least integer function or lowest integer function.
Also see
- Real Number lies between Unique Pair of Consecutive Integers
- Equivalence of Definitions of Ceiling Function
Technical Note
The $\LaTeX$ code for \(\ceiling {x}\) is \ceiling {x}
.
When the argument is a single character, it is usual to omit the braces:
\ceiling x