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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
This question is related to a question on the numerical range of matrices over a nite eld.
📌 3 Key Takeaways
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Objective & Hypothesis:F q be quadratic forms with h not degenerate.
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Key Findings & Data:Fix k 2 F q and set C n ( k;h ) F q := f h ( x 1 ;:::;x n ) = k gF n q .
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Conclusion & Impact:This question is related to a question on the numerical range of matrices over a nite eld.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters
Abstract
Let h;h M : F n q ! F q be quadratic forms with h not degenerate. Fix k 2 F q and set C n ( k;h ) F q := f h ( x 1 ;:::;x n ) = k gF n q . We compute (in many cases) the image of h M j C n ( k;h ) F q . This question is related to a question on the numerical range of matrices over a nite eld.
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Cite This Article
BALLICO, E. (2022). Restriction of a quadratic form over a nite eld to a nondegenerate affine quadric hypersurface. Turkish Journal of Mathematics, Cilt: 42 - Sayı: 1, 1–11. https://ajindex.com/articles/607823