What does diagonal form mean?

Definitions for diagonal form
di·ag·o·nal form

This dictionary definitions page includes all the possible meanings, example usage and translations of the word diagonal form.

Wikipedia

  1. Diagonal form

    In mathematics, a diagonal form is an algebraic form (homogeneous polynomial) without cross-terms involving different indeterminates. That is, it is Σ a i x i m {\displaystyle \Sigma a_{i}{x_{i}}^{m}\ } for some given degree m, summed for 1 ≤ i ≤ n. 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: algebraic geometry, local zeta-functions via Jacobi sums, Hardy-Littlewood circle method.

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Numerology

  1. Chaldean Numerology

    The numerical value of diagonal form in Chaldean Numerology is: 1

  2. Pythagorean Numerology

    The numerical value of diagonal form in Pythagorean Numerology is: 7

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"diagonal form." Definitions.net. STANDS4 LLC, 2024. Web. 27 Apr. 2024. <https://www.definitions.net/definition/diagonal+form>.

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