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Journals / Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi / 2026 / Cilt: 14 Sayı: 3

On Oresme Numbers and Their Geometric Interpretations

Serpil Halıcı(Science Faculty, Depertmant of Mathematics)0000-0002-8071-0437
Elifcan Sayın(Mathematics)0000-0001-5602-7681
Pages
1291–1300
Publication Date
2024-09-01
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

We obtained important definitions and theorems for these sequences.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, we examined the Oresme sequences defined by Nicole Oresme.
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Key Findings & Data:We examined the geometric interpretation of Oresme sequences with rational coefficients which are defined by A.F.
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Conclusion & Impact:We obtained important definitions and theorems for these sequences.
🔬Design:Araştırma Makalesi
📍Scope:Comprehensive Sample
⚙️Variables:Reccurences · Fibonnacci generalizations · Oresme numbers

Abstract

In this study, we examined the Oresme sequences defined by Nicole Oresme. We examined the geometric interpretation of Oresme sequences with rational coefficients which are defined by A.F. Horadam as with initial conditions and . We defined the the vector of the Oresme sequence. We calculated the area and volume. We gave the general solution for four squares equation involving Oresme vectors. We calculated the Heron Formula of Oresme sequences. We defined the angle value between these sequences. We also obtained a relationship between the Oresme sequence and the generalized Fibonacci sequence in vector space. We calculated the area and volume of these sequence. We obtained important definitions and theorems for these sequences.

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Cite This Article

Halıcı, S., Sayın, E. (2024). On Oresme Numbers and Their Geometric Interpretations. Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi, Cilt: 14 Sayı: 3, 1291–1300. https://doi.org/10.21597/jist.1421298

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