MultivariateStatistics`
MultivariateStatistics`

Ellipsoid

Ellipsoid[{x1,…,xp},{r1,…,rp}]

represents a p-dimensional ellipsoid centered at the point {x1,…,xp} with semi-axis radii ri aligned with the coordinate axes.

Ellipsoid[{x1,…,xp},{r1,…,rp},{d1,…,dp}]

represents a p-dimensional ellipsoid with semi-axis radii ri aligned with the direction di.

Details and Options

  • To use Ellipsoid, you first need to load the Multivariate Statistics Package. You can do this by using Needs["MultivariateStatistics`"].
  • Ellipsoid is used to represent ellipsoidal regions such as EllipsoidQuantile and EllipsoidQuartiles.
  • Two-dimensional Ellipsoid objects can be plotted using Graphics.
  • If the direction matrix {d1,…,dp} is a permutation of the identity matrix, the direction matrix is automatically dropped, reordering the radii if necessary.
Wolfram Research (2007), Ellipsoid, Wolfram Language function, https://reference.wolfram.com/language/MultivariateStatistics/ref/Ellipsoid.html.

Text

Wolfram Research (2007), Ellipsoid, Wolfram Language function, https://reference.wolfram.com/language/MultivariateStatistics/ref/Ellipsoid.html.

CMS

Wolfram Language. 2007. "Ellipsoid." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/MultivariateStatistics/ref/Ellipsoid.html.

APA

Wolfram Language. (2007). Ellipsoid. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/MultivariateStatistics/ref/Ellipsoid.html

BibTeX

@misc{reference.wolfram_2023_ellipsoid, author="Wolfram Research", title="{Ellipsoid}", year="2007", howpublished="\url{https://reference.wolfram.com/language/MultivariateStatistics/ref/Ellipsoid.html}", note=[Accessed: 19-April-2024 ]}

BibLaTeX

@online{reference.wolfram_2023_ellipsoid, organization={Wolfram Research}, title={Ellipsoid}, year={2007}, url={https://reference.wolfram.com/language/MultivariateStatistics/ref/Ellipsoid.html}, note=[Accessed: 19-April-2024 ]}