There are two set-theoretic operations defined on RealBox objects.

Note that there are also predicates Contains and Overlaps that are set-theoretic in nature which are documented in RealBox[Predicates].

Use the 'precision' = n option to control the precision used in these methods. For more details on precision, see BoxPrecision.

$a≔\mathrm{RealBox}\left(1.0\,0.5\right)$

$a≔⟨\text{RealBox:}1\pm 0.5⟩$

$b≔\mathrm{RealBox}\left(1.5\,0.6\right)$

$b≔⟨\text{RealBox:}1.5\pm 0.6⟩$

$\mathrm{Union}\left(a\,b\right)$

$⟨\text{RealBox:}1.3\pm 0.8⟩$

$\mathrm{Intersection}\left(a\,b\right)$

$⟨\text{RealBox:}1.2\pm 0.3⟩$

$\mathrm{Union}\left(\mathrm{RealBox}\left(2\,0.5\right)\,\mathrm{RealBox}\left(3\,0.5\right)\right)$

$⟨\text{RealBox:}2.5\pm 1⟩$

$\mathrm{Intersection}\left(\mathrm{RealBox}\left(2\,0.5\right)\,\mathrm{RealBox}\left(3\,0.5\right)\right)$

$⟨\text{RealBox:}2.5\pm \mathrm{9.31323\ⅇ-10}⟩$

$\mathrm{Intersection}\left(\mathrm{RealBox}\left(2\,0.4\right)\,\mathrm{RealBox}\left(3\,0.4\right)\right)$

Error, (in RealBox:-extIntersection) non-overlapping real boxes

$\mathrm{Overlaps}\left(\mathrm{RealBox}\left(2\,0.4\right)\,\mathrm{RealBox}\left(3\,0.4\right)\right)$

$\mathrm{false}$

$\mathrm{Union}\left(\mathrm{RealBox}\left(2\,0.4\right)\,\mathrm{RealBox}\left(3\,0.4\right)\right)$

$⟨\text{RealBox:}2.5\pm 0.9⟩$

The RealBox[SetTheory], RealBox:-Union, RealBox:-Intersection and RealBox:-NonNegativePart commands were introduced in Maple 2022.

For more information on Maple 2022 changes, see Updates in Maple 2022.