IntervalUnion [interval1,interval2,…]
gives an interval containing the set of all points in any of the intervali.
IntervalUnion
IntervalUnion [interval1,interval2,…]
gives an interval containing the set of all points in any of the intervali.
Details
- The interval can be any of:
-
- If all the intervali are CenteredInterval […], or at least one of the intervali is a nonreal interval, then the result will be a CenteredInterval […] that contains all of the points in the intervali. Otherwise, the result will be the Interval […] representing the set of all points in the intervali.
Examples
open all close allBasic Examples (2)
Combine intervals:
IntervalUnion[Interval[{1, 3}], Interval[{2, 4}]]Combine center-radius intervals:
IntervalUnion[CenteredInterval[2 + 3I, 1 + I], CenteredInterval[1 + I, 2 + 2I]]Scope (4)
Combine disjoint intervals:
IntervalUnion[Interval[{-2, 0}], Interval[{1, 4}]]Combine disjoint real center-radius intervals:
IntervalUnion[CenteredInterval[-1, 1 / 2], CenteredInterval[1, 1 / 2]]Combine real intervals of different types:
IntervalUnion[Interval[{-2, -1 / 2}, {1, 2}], CenteredInterval[0, 1 / 2]]Combine intervals of different types, with at least one of them nonreal:
IntervalUnion[Interval[{-2, -1 / 2}, {1, 2}], CenteredInterval[0, 1 / 2 + I / 2]]See Also
Interval CenteredInterval IntervalIntersection IntervalMemberQ
Function Repository: IntervalComplement
Tech Notes
Related Guides
History
Introduced in 1996 (3.0) | Updated in 2021 (13.0)
Text
Wolfram Research (1996), IntervalUnion, Wolfram Language function, https://reference.wolfram.com/language/ref/IntervalUnion.html (updated 2021).
CMS
Wolfram Language. 1996. "IntervalUnion." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 2021. https://reference.wolfram.com/language/ref/IntervalUnion.html.
APA
Wolfram Language. (1996). IntervalUnion. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/IntervalUnion.html
BibTeX
@misc{reference.wolfram_2026_intervalunion, author="Wolfram Research", title="{IntervalUnion}", year="2021", howpublished="\url{https://reference.wolfram.com/language/ref/IntervalUnion.html}", note=[Accessed: 06-September-2026]}
BibLaTeX
@online{reference.wolfram_2026_intervalunion, organization={Wolfram Research}, title={IntervalUnion}, year={2021}, url={https://reference.wolfram.com/language/ref/IntervalUnion.html}, note=[Accessed: 06-September-2026]}