Diagonal form

id: diagonal-form-169-12117977
title: Diagonal form
text: In mathematics, a diagonal form is an algebraic form without cross-terms involving different indeterminates. That is, it is of the form - ∑ i = 1 n a i x i m   for some degree m. Such forms F, and the hypersurfaces F = 0 they define in projective space, are very special in geometric terms, with many symmetries. They also include famous cases like the Fermat curves, and other examples well known in the theory of Diophantine equations. A great deal has been worked out about their theory: algebra
brand slug: wiki
category slug: encyclopedia
description: Type of homogenous polynomial
original url: https://en.wikipedia.org/wiki/Diagonal_form
date created: 2005-10-29T16:45:26Z
date modified: 2024-08-31T15:37:41Z
main entity: {"identifier":"Q5270364","url":"https://www.wikidata.org/entity/Q5270364"}
image:
fields total: 13
integrity: 15

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