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integer part
The integer part of a real number is the part of the number that appears before the decimal point. For example, the integer part of $\pi$ is $3$ , and the integer part of $-\sqrt{2}$ is $-1$ .
To be more precise, for $x \in \mathbb{R}$ , the integer part of $x$ , denoted as $[x]$ , is given by
![$\displaystyle [x]=\begin{cases} \lfloor x \rfloor \text{ if } x \ge 0 \ \lceil x \rceil \text{ if } x<0, \end{cases}$](http://images.planetmath.org/cache/objects/8337/js/img1.png)
where $\lfloor x \rfloor$ and $\lceil x \rceil$ denote the floor and ceiling of $x$ , respectively.
integer part is owned by Warren Buck.
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