Returns true if ps1 and ps2 are the same set and false otherwise.

For sets to be equal, they must have the same coordinates.  Sets with different coordinate names are considered to be different.

$\mathrm{with}\left(\mathrm{PolyhedralSets}\right)\:$

$\mathrm{set1}≔\mathrm{PolyhedralSet}\left(\left[0\le x\right]\right)\:$$\mathrm{set2}≔\mathrm{PolyhedralSet}\left(\left[0\le x\,-1\le x\right]\right)\:$$\mathrm{Equal}\left(\mathrm{set1}\,\mathrm{set2}\right)$

$\mathrm{true}$

$\mathrm{c1}≔\mathrm{ExampleSets}:-\mathrm{Cube}\left(\left[a\,b\,c\right]\right)$

$\mathrm{c1}≔\{\begin{array}{lll}\mathrm{Coordinates}& \:& \left[a\,b\,c\right]\\ \mathrm{Relations}& \:& \left[-c\le 1\,c\le 1\,-b\le 1\,b\le 1\,-a\le 1\,a\le 1\right]\end{array}$

$\mathrm{c2}≔\mathrm{ExampleSets}:-\mathrm{Cube}\left(\left[x\,y\,z\right]\right)$

$\mathrm{c2}≔\{\begin{array}{lll}\mathrm{Coordinates}& \:& \left[x\,y\,z\right]\\ \mathrm{Relations}& \:& \left[-z\le 1\,z\le 1\,-y\le 1\,y\le 1\,-x\le 1\,x\le 1\right]\end{array}$

$\mathrm{Equal}\left(\mathrm{c1}\,\mathrm{c2}\right)$

$\mathrm{false}$

The PolyhedralSets[Equal] command was introduced in Maple 2015.

For more information on Maple 2015 changes, see Updates in Maple 2015.