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IntervalIntersection[interval1,interval2,…]

gives the interval representing all points common to each of the intervali.

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IntervalIntersection

IntervalIntersection[interval1,interval2,…]

gives the interval representing all points common to each of the intervali.

Details

  • The interval can be any of:
  • CenteredInterval[…]interval given by center and radius
    Interval[…]interval given by end points

Examples

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Basic Examples  (2)

Find where intervals overlap:

Wolfram Language code: IntervalIntersection[Interval[{-2, 3}], Interval[{1, 4}]]

Find where center-radius intervals overlap:

Wolfram Language code: IntervalIntersection[CenteredInterval[2 + 3I, 1 + I], CenteredInterval[1 + I, 2 + 2I]]

Scope  (3)

Disjoint intervals:

Wolfram Language code: IntervalIntersection[Interval[{-2, 0}], Interval[{1, 4}]]

Use exact symbolic quantities:

Wolfram Language code: IntervalIntersection[Interval[{-2, Pi}], Interval[{E, 4}]]

Intersect intervals of different types:

Wolfram Language code: IntervalIntersection[Interval[{-2, -1 / 2}, {1 / 2, 2}], CenteredInterval[0, 1 + I]]
Wolfram Research (1996), IntervalIntersection, Wolfram Language function, https://reference.wolfram.com/language/ref/IntervalIntersection.html (updated 2021).

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: 13-June-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: 13-June-2026]}