SetTheory - Maple Help
For the best experience, we recommend viewing online help using Google Chrome or Microsoft Edge.

Online Help

RealBox

  

SetTheory

  

set-theoretic operations on RealBox objects

  

Union

  

compute the union of two RealBox objects

  

Intersection

  

compute the intersection of two RealBox objects

  

NonNegativePart

  

compute the intersection of a RealBox with the non-negative real axis

 

Calling Sequence

Parameters

Description

Examples

Compatibility

Calling Sequence

Union( a, b )

Intersection( a, b )

NonNegativePart( b )

Parameters

a

-

RealBox object

b

-

RealBox object

precopt

-

(optional) equation of the form precision = n, where n is a positive integer

Description

• 

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

Union( a, b )

the union of the RealBox objects a and b

Intersection( a, b )

the intersection of the RealBox objects a and b

NonNegativePart( b )

the intersection of the RealBox b with the non-negative real axis

• 

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.

Examples

(1)

(2)

(3)

(4)

(5)

(6)

Note that an intersection can only be formed for RealBox objects that have nonempty intersection.

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

(7)

This is not necessary, however, for unions.

(8)

Compatibility

• 

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.

See Also

RealBox

RealBox[Contains]

RealBox[Overlaps]

RealBox[Predicates]

 


Download Help Document