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- Principal_axis_theorem 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.".
- Principal_axis_theorem wikiPageID "11376126".
- Principal_axis_theorem wikiPageRevisionID "573978839".
- Principal_axis_theorem hasPhotoCollection Principal_axis_theorem.
- Principal_axis_theorem subject Category:Theorems_in_geometry.
- Principal_axis_theorem subject Category:Theorems_in_linear_algebra.
- Principal_axis_theorem type Abstraction100002137.
- Principal_axis_theorem type Communication100033020.
- Principal_axis_theorem type Message106598915.
- Principal_axis_theorem type Proposition106750804.
- Principal_axis_theorem type Statement106722453.
- Principal_axis_theorem type Theorem106752293.
- Principal_axis_theorem type TheoremsInAlgebra.
- Principal_axis_theorem type TheoremsInGeometry.
- Principal_axis_theorem type TheoremsInLinearAlgebra.
- Principal_axis_theorem 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.".
- Principal_axis_theorem label "Principal axis theorem".
- Principal_axis_theorem sameAs 주축정리.
- Principal_axis_theorem sameAs m.02r9f95.
- Principal_axis_theorem sameAs Q7245073.
- Principal_axis_theorem sameAs Q7245073.
- Principal_axis_theorem sameAs Principal_axis_theorem.
- Principal_axis_theorem wasDerivedFrom Principal_axis_theorem?oldid=573978839.
- Principal_axis_theorem isPrimaryTopicOf Principal_axis_theorem.