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- Bhargava_cube abstract "In mathematics, in number theory, Bhargava cube (also called Bhargava's cube) is a configuration consisting of eight integers placed at the eight corners of a cube. This configuration was extensively used by Manjul Bhargava, an Indian-American Fields Medal winning mathematician, to study the composition laws of binary quadratic forms and other such forms. To each pair of opposite faces of a Bhargava cube one can associate an integer binary quadratic form thus getting three binary quadratic forms corresponding to the three pairs of opposite faces of the Bhargava cube. These three quadratic forms all have the same discriminant and Manjul Bhargava proved that their composition in the sense of Gauss is the identity element in the associated group of equivalence classes of primitive binary quadratic forms. Using this property as the starting point for a theory of composition of binary quadratic forms Manjul Bhargava went on to define fourteen different composition laws using a cube.".
- Bhargava_cube thumbnail BhargavaCube.png?width=300.
- Bhargava_cube wikiPageID "45554900".
- Bhargava_cube wikiPageLength "10776".
- Bhargava_cube wikiPageOutDegree "25".
- Bhargava_cube wikiPageRevisionID "683336594".
- Bhargava_cube wikiPageWikiLink Binary_function.
- Bhargava_cube wikiPageWikiLink Binary_quadratic_form.
- Bhargava_cube wikiPageWikiLink Carl_Friedrich_Gauss.
- Bhargava_cube wikiPageWikiLink Category:Carl_Friedrich_Gauss.
- Bhargava_cube wikiPageWikiLink Category:Number_theory.
- Bhargava_cube wikiPageWikiLink Category:Quadratic_forms.
- Bhargava_cube wikiPageWikiLink Cube.
- Bhargava_cube wikiPageWikiLink Discriminant.
- Bhargava_cube wikiPageWikiLink Equivalence_class.
- Bhargava_cube wikiPageWikiLink Fields_Medal.
- Bhargava_cube wikiPageWikiLink File:BhargavaCube.png.
- Bhargava_cube wikiPageWikiLink File:BhargavaCubeExample.jpg.
- Bhargava_cube wikiPageWikiLink File:BhargavaCubeOfCubiccForm.jpg.
- Bhargava_cube wikiPageWikiLink File:BhargavaCubeOfPairOfQuadraticForms.jpg.
- Bhargava_cube wikiPageWikiLink File:BhargavaCubeShowingM1andN1.png.
- Bhargava_cube wikiPageWikiLink File:BhargavaCubeShowingM2andN2.png.
- Bhargava_cube wikiPageWikiLink File:BhargavaCubeShowingM3andN3.png.
- Bhargava_cube wikiPageWikiLink Group_(mathematics).
- Bhargava_cube wikiPageWikiLink Identity_element.
- Bhargava_cube wikiPageWikiLink Indian-American.
- Bhargava_cube wikiPageWikiLink Indian_Americans.
- Bhargava_cube wikiPageWikiLink Integer.
- Bhargava_cube wikiPageWikiLink Integers.
- Bhargava_cube wikiPageWikiLink Manjul_Bhargava.
- Bhargava_cube wikiPageWikiLink Mathematician.
- Bhargava_cube wikiPageWikiLink Mathematics.
- Bhargava_cube wikiPageWikiLink Number_theory.
- Bhargava_cube wikiPageWikiLinkText "Bhargava cube".
- Bhargava_cube hasPhotoCollection Bhargava_cube.
- Bhargava_cube wikiPageUsesTemplate Template:Reflist.
- Bhargava_cube subject Category:Carl_Friedrich_Gauss.
- Bhargava_cube subject Category:Number_theory.
- Bhargava_cube subject Category:Quadratic_forms.
- Bhargava_cube hypernym Configuration.
- Bhargava_cube type Aircraft.
- Bhargava_cube comment "In mathematics, in number theory, Bhargava cube (also called Bhargava's cube) is a configuration consisting of eight integers placed at the eight corners of a cube. This configuration was extensively used by Manjul Bhargava, an Indian-American Fields Medal winning mathematician, to study the composition laws of binary quadratic forms and other such forms.".
- Bhargava_cube label "Bhargava cube".
- Bhargava_cube sameAs m.012z8cmy.
- Bhargava_cube wasDerivedFrom Bhargava_cube?oldid=683336594.
- Bhargava_cube depiction BhargavaCube.png.
- Bhargava_cube isPrimaryTopicOf Bhargava_cube.