"Is [0, inf) same as R+?"


by Alexei Andreev Jul 29 2016

A metric, sometimes referred to as a distance function, is a function that defines a real nonnegative distance between every two elements of a set\. It is commonly denoted by the variable $~$d$~$\. In colon\-to notation, a metric $~$d$~$ that defines distances between elements of the set $~$S$~$ is written: $$~$d: S \\times S \\to \[0, \\infty)$~$$

Is [0, inf) same as R+?


Bryce Woodworth

I was under the impression that R+ doesn't include 0. If that's the case, then it is not the same.