WOLFRAM

Wolfram Language & System Documentation Center

IntervalUnion[interval1,interval2,…]

gives an interval containing the set of all points in any of the intervali.

Details
Details and Options Details and Options
Examples  
Basic Examples  
Scope  
See Also
Tech Notes
Related Guides
History
Cite this Page

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:
  • CenteredInterval[…]interval given by center and radius
    Interval[…]interval given by end points
  • 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 all

Basic Examples  (2)

Combine intervals:

Combine center-radius intervals:

Scope  (4)

Combine disjoint intervals:

Combine disjoint real center-radius intervals:

Combine real intervals of different types:

Combine intervals of different types, with at least one of them nonreal:

Wolfram Research (1996), IntervalUnion, Wolfram Language function, https://reference.wolfram.com/language/ref/IntervalUnion.html (updated 2021).

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_2025_intervalunion, author="Wolfram Research", title="{IntervalUnion}", year="2021", howpublished="\url{https://reference.wolfram.com/language/ref/IntervalUnion.html}", note=[Accessed: 13-August-2025]}

BibLaTeX

@online{reference.wolfram_2025_intervalunion, organization={Wolfram Research}, title={IntervalUnion}, year={2021}, url={https://reference.wolfram.com/language/ref/IntervalUnion.html}, note=[Accessed: 13-August-2025]}