Take the 2-minute tour ×

I need an example please. I am not sure how to provide an example

share|improve this question
$f(x) = \lfloor x \rfloor$ –  Will Jagy Oct 15 '12 at 20:44
$f(x) = \chi_{\mathbb{R}-\mathbb{Z}}$ –  Neal Oct 15 '12 at 20:44
As you may have realized from the various suggested examples, the idea is to start with a picture of a nice continuous function in your head and then make it jump at every integer. –  Atul Ingle Oct 15 '12 at 21:05
add comment

1 Answer

up vote 13 down vote accepted

An indicator function for integers $I_\mathbb{Z}(x)$:

$f(x)=1$ when $x \in \mathbb{Z}$ i.e. $x$ is an integer

$f(x)=0$ when $x \not\in \mathbb{Z}$ i.e. $x$ is not an integer

share|improve this answer
add comment

Your Answer


