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 is , and the integer part of is .
To be more precise, for
, the integer part of , denoted as , is given by
where
and
denote the floor and ceiling of , respectively.
This is version 3 of integer part, born on 2006-09-10, modified 2008-02-26.
Object id is 8337, canonical name is IntegerPart.
Accessed 1944 times total.
![$ [x]$](http://images.planetmath.org:8080/cache/objects/8337/l2h/img7.png "$ [x]$"){kind=small}
![$\displaystyle [x]=\begin{cases} \lfloor x \rfloor \text{ if } x \ge 0 \ \lceil x \rceil \text{ if } x<0, \end{cases}$](http://images.planetmath.org:8080/cache/objects/8337/l2h/img8.png "$\displaystyle [x]=\begin{cases} \lfloor x \rfloor \text{ if } x \ge 0 \ \lceil x \rceil \text{ if } x<0, \end{cases}$")
