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
Canonical name	IntegerPart
Date of creation	2013-03-22 16:14:11
Last modified on	2013-03-22 16:14:11
Owner	Wkbj79 (1863)
Last modified by	Wkbj79 (1863)
Numerical id	6
Author	Wkbj79 (1863)
Entry type	Definition
Classification	msc 11-00
Classification	msc 26A09
Related topic	FractionalPart