The Unordered(x, y) function returns true if x is unordered with y, false if x is ordered with y, and unevaluated otherwise.

The OrderedNE(x, y) function returns true only if $x<y$ or $y<x$.  This is distinct from $x\ne y$.

This function returns unevaluated if either x or y is symbolic.

The OrderedNE(x, y) function signals Invalid (returning the default value FAIL) if x is a finite or infinite nonreal, or y is a finite or infinite nonreal.

The Unordered and OrderedNE commands are thread-safe as of Maple 15.

For more information on thread safety, see index/threadsafe.

$\mathrm{Unordered}\left(1\&comma;2\right)$

$\mathrm{false}$

$\mathrm{Unordered}\left(1\&comma;2\mathrm{I}\right)$

$\mathrm{true}$

$\mathrm{Unordered}\left(1\&comma;\mathrm{\pi }\right)$

$\mathrm{Unordered}\left(1\&comma;\mathrm{\pi }\right)$

$\mathrm{OrderedNE}\left(1\&comma;2\right)$

$\mathrm{true}$

$\mathrm{OrderedNE}\left(1\&comma;2\mathrm{I}\right)$

$\mathrm{FAIL}$

$\mathrm{OrderedNE}\left(1\&comma;\mathrm{\pi }\right)$

$\mathrm{OrderedNE}\left(1\&comma;\mathrm{\pi }\right)$