IntervalIntersection [interval1,interval2,…]
gives the interval representing all points common to each of the intervali.
IntervalIntersection
IntervalIntersection [interval1,interval2,…]
gives the interval representing all points common to each of the intervali.
Details
- The interval can be any of:
-
Examples
open all close allBasic Examples (2)
Find where intervals overlap:
IntervalIntersection[Interval[{-2, 3}], Interval[{1, 4}]]Find where center-radius intervals overlap:
IntervalIntersection[CenteredInterval[2 + 3I, 1 + I], CenteredInterval[1 + I, 2 + 2I]]Scope (3)
Disjoint intervals:
IntervalIntersection[Interval[{-2, 0}], Interval[{1, 4}]]Use exact symbolic quantities:
IntervalIntersection[Interval[{-2, Pi}], Interval[{E, 4}]]Intersect intervals of different types:
IntervalIntersection[Interval[{-2, -1 / 2}, {1 / 2, 2}], CenteredInterval[0, 1 + I]]See Also
Interval CenteredInterval IntervalUnion IntervalMemberQ
Function Repository: IntervalComplement
Tech Notes
Related Guides
History
Introduced in 1996 (3.0) | Updated in 2021 (13.0)
Text
Wolfram Research (1996), IntervalIntersection, Wolfram Language function, https://reference.wolfram.com/language/ref/IntervalIntersection.html (updated 2021).
CMS
Wolfram Language. 1996. "IntervalIntersection." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 2021. https://reference.wolfram.com/language/ref/IntervalIntersection.html.
APA
Wolfram Language. (1996). IntervalIntersection. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/IntervalIntersection.html
BibTeX
@misc{reference.wolfram_2026_intervalintersection, author="Wolfram Research", title="{IntervalIntersection}", year="2021", howpublished="\url{https://reference.wolfram.com/language/ref/IntervalIntersection.html}", note=[Accessed: 04-September-2026]}
BibLaTeX
@online{reference.wolfram_2026_intervalintersection, organization={Wolfram Research}, title={IntervalIntersection}, year={2021}, url={https://reference.wolfram.com/language/ref/IntervalIntersection.html}, note=[Accessed: 04-September-2026]}