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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 wikiPageLength "7628".
- Principal_axis_theorem wikiPageOutDegree "33".
- Principal_axis_theorem wikiPageRevisionID "573978839".
- Principal_axis_theorem wikiPageWikiLink Angular_momentum.
- Principal_axis_theorem wikiPageWikiLink Cartesian_coordinate_system.
- Principal_axis_theorem wikiPageWikiLink Cartesian_plane.
- Principal_axis_theorem wikiPageWikiLink Category:Theorems_in_geometry.
- Principal_axis_theorem wikiPageWikiLink Category:Theorems_in_linear_algebra.
- Principal_axis_theorem wikiPageWikiLink Completing_the_square.
- Principal_axis_theorem wikiPageWikiLink Diagonalizable.
- Principal_axis_theorem wikiPageWikiLink Diagonalizable_matrix.
- Principal_axis_theorem wikiPageWikiLink Eigenbasis.
- Principal_axis_theorem wikiPageWikiLink Eigenvalues.
- Principal_axis_theorem wikiPageWikiLink Eigenvalues_and_eigenvectors.
- Principal_axis_theorem wikiPageWikiLink Elementary_algebra.
- Principal_axis_theorem wikiPageWikiLink Ellipse.
- Principal_axis_theorem wikiPageWikiLink Ellipsoid.
- Principal_axis_theorem wikiPageWikiLink Euclidean_space.
- Principal_axis_theorem wikiPageWikiLink Functional_analysis.
- Principal_axis_theorem wikiPageWikiLink Geometry.
- Principal_axis_theorem wikiPageWikiLink Gram-Schmidt_process.
- Principal_axis_theorem wikiPageWikiLink Gram–Schmidt_process.
- Principal_axis_theorem wikiPageWikiLink Homogeneous_polynomial.
- Principal_axis_theorem wikiPageWikiLink Hyperboloid.
- Principal_axis_theorem wikiPageWikiLink Linear_algebra.
- Principal_axis_theorem wikiPageWikiLink Mathematics.
- Principal_axis_theorem wikiPageWikiLink Matrix_diagonalization.
- Principal_axis_theorem wikiPageWikiLink Orthogonal_matrix.
- Principal_axis_theorem wikiPageWikiLink Orthonormal.
- Principal_axis_theorem wikiPageWikiLink Orthonormality.
- Principal_axis_theorem wikiPageWikiLink Physics.
- Principal_axis_theorem wikiPageWikiLink Principal_component_analysis.
- Principal_axis_theorem wikiPageWikiLink Principal_components_analysis.
- Principal_axis_theorem wikiPageWikiLink Quadratic_form.
- Principal_axis_theorem wikiPageWikiLink Quadratic_forms.
- Principal_axis_theorem wikiPageWikiLink Real_number.
- Principal_axis_theorem wikiPageWikiLink Real_numbers.
- Principal_axis_theorem wikiPageWikiLink Singular_value_decomposition.
- Principal_axis_theorem wikiPageWikiLink Spectral_theorem.
- Principal_axis_theorem wikiPageWikiLink Statistics.
- Principal_axis_theorem wikiPageWikiLink Sylvesters_law_of_inertia.
- Principal_axis_theorem wikiPageWikiLink Symmetric_matrix.
- Principal_axis_theorem wikiPageWikiLinkText "Principal axes".
- Principal_axis_theorem wikiPageWikiLinkText "Principal axis theorem".
- Principal_axis_theorem wikiPageWikiLinkText "principal axes".
- Principal_axis_theorem wikiPageWikiLinkText "principal axis theorem".
- Principal_axis_theorem wikiPageWikiLinkText "principal axis".
- Principal_axis_theorem hasPhotoCollection Principal_axis_theorem.
- Principal_axis_theorem wikiPageUsesTemplate Template:Cite_book.
- Principal_axis_theorem subject Category:Theorems_in_geometry.
- Principal_axis_theorem subject Category:Theorems_in_linear_algebra.
- Principal_axis_theorem hypernym Line.
- Principal_axis_theorem type Theorem.
- 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 Hauptachsentransformation.
- Principal_axis_theorem sameAs 주축정리.
- Principal_axis_theorem sameAs m.02r9f95.
- Principal_axis_theorem sameAs Q7245073.
- Principal_axis_theorem sameAs Q7245073.
- Principal_axis_theorem wasDerivedFrom Principal_axis_theorem?oldid=573978839.
- Principal_axis_theorem isPrimaryTopicOf Principal_axis_theorem.