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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
In the second section, we derive some results concerning thebase points of indefinite quadratic forms in the cycle and proper cycleof F using the transformations τ (F) = (−a, b, −c), ξ(F) = (c, b, a),χ(F) = (−c, b, −a), ψ(F) = (−a, −b, −c), and the right neighbor Ri(F)of F for i ≥ 0.
📌 3 Key Takeaways
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Objective & Hypothesis:Let F = (a, b, c) be an indefinite quadratic form of discriminant ∆ > 0.In the first section, we give some preliminaries from binary quadraticforms.
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Key Findings & Data:Let F = (a, b, c) be an indefinite quadratic form of discriminant ∆ > 0.In the first section, we give some preliminaries from binary quadraticforms.
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Conclusion & Impact:In the second section, we derive some results concerning thebase points of indefinite quadratic forms in the cycle and proper cycleof F using the transformations τ (F) = (−a, b, −c), ξ(F) = (c, b, a),χ(F) = (−c, b, −a), ψ(F) = (−a, −b, −c), and the right neighbor Ri(F)of F for i ≥ 0.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Quadratic form · Indefinite form · Cycle
Abstract
Let F = (a, b, c) be an indefinite quadratic form of discriminant ∆ > 0.In the first section, we give some preliminaries from binary quadraticforms. In the second section, we derive some results concerning thebase points of indefinite quadratic forms in the cycle and proper cycleof F using the transformations τ (F) = (−a, b, −c), ξ(F) = (c, b, a),χ(F) = (−c, b, −a), ψ(F) = (−a, −b, −c), and the right neighbor Ri(F)of F for i ≥ 0.
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Cite This Article
TEKCAN, A. (2022). THE BASE POINTS OF INDEFINITE QUADRATIC FORMS IN THE CYCLE AND PROPER CYCLE OF AN INDEFINITE QUADRATIC FORM. Hacettepe Journal of Mathematics and Statistics, Cilt: 36 - Sayı: 2, 101–114. https://ajindex.com/articles/530741