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- Q7245073 subject Q13296727.
- Q7245073 subject Q7139601.
- Q7245073 abstract "In the mathematical fields of geometry and linear algebra, a principal axis is a certain line in a Euclidean space associated to an ellipsoid or hyperboloid, generalizing the major and minor axes of an ellipse. The principal axis theorem states that the principal axes are perpendicular, and gives a constructive procedure for finding them.Mathematically, the principal axis theorem is a generalization of the method of completing the square from elementary algebra. In linear algebra and functional analysis, the principal axis theorem is a geometrical counterpart of the spectral theorem. It has applications to the statistics of principal components analysis and the singular value decomposition. In physics, the theorem is fundamental to the study of angular momentum.".
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- Q7245073 wikiPageWikiLink Q13296727.
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- Q7245073 wikiPageWikiLink Q62912.
- Q7245073 wikiPageWikiLink Q7139601.
- Q7245073 wikiPageWikiLink Q736753.
- Q7245073 wikiPageWikiLink Q8087.
- Q7245073 wikiPageWikiLink Q82571.
- Q7245073 comment "In the mathematical fields of geometry and linear algebra, a principal axis is a certain line in a Euclidean space associated to an ellipsoid or hyperboloid, generalizing the major and minor axes of an ellipse. The principal axis theorem states that the principal axes are perpendicular, and gives a constructive procedure for finding them.Mathematically, the principal axis theorem is a generalization of the method of completing the square from elementary algebra.".
- Q7245073 label "Principal axis theorem".