Journals / Anadolu Üniversitesi Fen Fakültesi Dergisi / 2003 / Cilt: 0 - Sayı: 7

The fractal dimension of the graph of a harmonic function that is restricted to one segment of Sierpinski gasket

Sierpinski üçgeninin bir segmentine kısıtlanmış harmonik fonksiyonun grafiğinin fraktal boyutu

Pages
169–175
Publication Date
2022-10-11
DOI
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AI Summary & Key Takeaways

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

In this work, it is shown that the graph of a harmonic function which is restricted to one segment of Sierpinski gasket has dimension 1.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this work, it is shown that the graph of a harmonic function which is restricted to one segment of Sierpinski gasket has dimension 1.
📊
Key Findings & Data:In this work, it is shown that the graph of a harmonic function which is restricted to one segment of Sierpinski gasket has dimension 1.
💡
Conclusion & Impact:In this work, it is shown that the graph of a harmonic function which is restricted to one segment of Sierpinski gasket has dimension 1.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this work, it is shown that the graph of a harmonic function which is restricted to one segment of Sierpinski gasket has dimension 1.

Özet

Bu çalışmada, Sierpinski üçgeni üzerinde tanımlı Harmonik fonksiyonun Sierpinski üçgeninin bir segmentine kısıtlanmışının grafiğinin fraktal boyutunun 1 olduğu gösterilmiştir.

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Cite This Article

DEMİR, B. (2022). The fractal dimension of the graph of a harmonic function that is restricted to one segment of Sierpinski gasket. Anadolu Üniversitesi Fen Fakültesi Dergisi, Cilt: 0 - Sayı: 7, 169–175. https://ajindex.com/articles/438622

References (3)

  1. Yamaguti, M., Hata, M., Kigami, J., Mathematics of Fractals, American Mathematical Society, (1997)
  2. Dalrymple, K., Strichartz, R. S., Vinson, J. P., Fractal Differential Equations on Sierpinski Gasket, J. Fourier Anal. Appl. 5, 203-284, (1999)
  3. Falconer, K., Fractal Geometry, John Wiley & Sons Ltd., (1990).