# integer part

The integer part of a real number is the part of the number that appears before the decimal . 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

 $[x]=\begin{cases}\lfloor x\rfloor\text{ if }x\geq 0\\ \lceil x\rceil\text{ if }x<0,\end{cases}$

where $\lfloor x\rfloor$ and $\lceil x\rceil$ denote the floor and ceiling of $x$, respectively.

Title integer part IntegerPart 2013-03-22 16:14:11 2013-03-22 16:14:11 Wkbj79 (1863) Wkbj79 (1863) 6 Wkbj79 (1863) Definition msc 11-00 msc 26A09 FractionalPart