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{{OctaveForge
| name = interval
| logo = [[File:Interval.png|100px]]
| short description = Real-valued interval arithmetic.
| version = 3.2.0
| date = 2018-07-01
| author 1 name  = Oliver Heimlich
| author 1 email = <oheim@posteo.de>
| maintainer 1 name  = Oliver Heimlich
| maintainer 1 email = <oheim@posteo.de>
| license = GPL-3.0+
| group = Community package
| doc 1 = [https://octave.sourceforge.io/interval/overview.html Function reference]
| doc 2 = [https://octave.sourceforge.io/interval/package_doc/ User manual]
| download 1 = [https://octave.sourceforge.io/download.php?package=interval-3.2.0.tar.gz interval-3.2.0.tar.gz]
| repository 1 = https://octave.sourceforge.io/pkg-repository/interval/
| dependency 1 = octave &ge; 3.8.0
| dependency 2 = '''Runtime:''' mpfr (&ge; 3.1.0) [https://packages.debian.org/search?keywords=libmpfr4 libmpfr4 for Debian]
| dependency 3 = '''Build:''' mpfr (&ge; 3.1.0) [https://packages.debian.org/search?keywords=libmpfr-dev libmpfr-dev for Debian]
}}
The GNU Octave interval package for real-valued [https://en.wikipedia.org/wiki/Interval_arithmetic interval arithmetic].
The GNU Octave interval package for real-valued [https://en.wikipedia.org/wiki/Interval_arithmetic interval arithmetic].
* Intervals are closed, connected subsets of the real numbers. Intervals may be unbound (in either or both directions) or empty. In special cases <code>+inf</code> and <code>-inf</code> are used to denote boundaries of unbound intervals, but any member of the interval is a finite real number.
* Intervals are closed, connected subsets of the real numbers. Intervals may be unbound (in either or both directions) or empty. In special cases <code>+inf</code> and <code>-inf</code> are used to denote boundaries of unbound intervals, but any member of the interval is a finite real number.
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* The result of an interval arithmetic function is an interval in general. It might happen, that the mathematical range of a function consist of several intervals, but their union will be returned, e. g., 1 / [-1, 1] = [Entire].  
* The result of an interval arithmetic function is an interval in general. It might happen, that the mathematical range of a function consist of several intervals, but their union will be returned, e. g., 1 / [-1, 1] = [Entire].  


__TOC__
[[File:Interval-sombrero.png|280px|thumb|left|Example: Plotting the interval enclosure of a function]]
[[File:Interval-sombrero.png|280px|thumb|left|Example: Plotting the interval enclosure of a function]]
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== Distribution ==
== Distribution ==
* [https://octave.sourceforge.io/interval/ Latest version at Octave Forge]
** <code>pkg install -forge interval</code>
** [https://octave.sourceforge.io/interval/overview.html function reference]
** [https://octave.sourceforge.io/interval/package_doc/index.html package documentation] (user manual)
'''Third-party'''
* [https://tracker.debian.org/pkg/octave-interval Debian GNU/Linux], [https://launchpad.net/ubuntu/+source/octave-interval Launchpad Ubuntu]
* [https://tracker.debian.org/pkg/octave-interval Debian GNU/Linux], [https://launchpad.net/ubuntu/+source/octave-interval Launchpad Ubuntu]
* [https://aur.archlinux.org/packages/octave-interval/ archlinux user repository]
* [https://aur.archlinux.org/packages/octave-interval/ archlinux user repository]
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