Araştırma Makalesi
BibTex RIS Kaynak Göster
Yıl 2024, Cilt: 12 Sayı: 4, 178 - 186
https://doi.org/10.36753/mathenot.1448644

Öz

Kaynakça

  • [1] Taylor, L. R.:Aggregation, variance and the mean. Nature. 189, 732-735 (1961).
  • [2] Specht, E.: Packomania. http://www.packomania.com/. Circles in a Square Section, (2020).
  • [3] Hales, T. C.: The sphere packing problem. Journal of Computational and Applied Mathematics. 44(1) (1992).
  • [4] Cohen, J., Courgeau, D.: Modeling distances between humans using Taylor’s law and geometric probability. Mathematical Population Studies. 24 (4), 197-218 (2017).
  • [5] Tuckwell, H. C.: Elementary Applications of Probability Theory. CRC Press. 32 (1995).
  • [6] Cohen, J.: Human population grows up. Journal of Computational and Applied Mathematics. 288(3), 78-85 (2003)

Taylor's Power Law and Packing Circles

Yıl 2024, Cilt: 12 Sayı: 4, 178 - 186
https://doi.org/10.36753/mathenot.1448644

Öz

The famous Taylor Power Law is in general observed in ecology and relates the variance of the population of a certain species in a unit area while Circle Packing is an arrangement of circles in a given area. We show that the circle packing problem in $\mathbb{R}^2$ satisfies the Taylor power law formula for $b = 2$.

Kaynakça

  • [1] Taylor, L. R.:Aggregation, variance and the mean. Nature. 189, 732-735 (1961).
  • [2] Specht, E.: Packomania. http://www.packomania.com/. Circles in a Square Section, (2020).
  • [3] Hales, T. C.: The sphere packing problem. Journal of Computational and Applied Mathematics. 44(1) (1992).
  • [4] Cohen, J., Courgeau, D.: Modeling distances between humans using Taylor’s law and geometric probability. Mathematical Population Studies. 24 (4), 197-218 (2017).
  • [5] Tuckwell, H. C.: Elementary Applications of Probability Theory. CRC Press. 32 (1995).
  • [6] Cohen, J.: Human population grows up. Journal of Computational and Applied Mathematics. 288(3), 78-85 (2003)
Toplam 6 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Uygulamalı Matematik (Diğer)
Bölüm Articles
Yazarlar

Oğuzhan Kaya 0000-0001-9756-1346

Zeki Topçu 0000-0002-8910-5612

Erken Görünüm Tarihi 16 Temmuz 2024
Yayımlanma Tarihi
Gönderilme Tarihi 7 Mart 2024
Kabul Tarihi 2 Temmuz 2024
Yayımlandığı Sayı Yıl 2024 Cilt: 12 Sayı: 4

Kaynak Göster

APA Kaya, O., & Topçu, Z. (2024). Taylor’s Power Law and Packing Circles. Mathematical Sciences and Applications E-Notes, 12(4), 178-186. https://doi.org/10.36753/mathenot.1448644
AMA Kaya O, Topçu Z. Taylor’s Power Law and Packing Circles. Math. Sci. Appl. E-Notes. Temmuz 2024;12(4):178-186. doi:10.36753/mathenot.1448644
Chicago Kaya, Oğuzhan, ve Zeki Topçu. “Taylor’s Power Law and Packing Circles”. Mathematical Sciences and Applications E-Notes 12, sy. 4 (Temmuz 2024): 178-86. https://doi.org/10.36753/mathenot.1448644.
EndNote Kaya O, Topçu Z (01 Temmuz 2024) Taylor’s Power Law and Packing Circles. Mathematical Sciences and Applications E-Notes 12 4 178–186.
IEEE O. Kaya ve Z. Topçu, “Taylor’s Power Law and Packing Circles”, Math. Sci. Appl. E-Notes, c. 12, sy. 4, ss. 178–186, 2024, doi: 10.36753/mathenot.1448644.
ISNAD Kaya, Oğuzhan - Topçu, Zeki. “Taylor’s Power Law and Packing Circles”. Mathematical Sciences and Applications E-Notes 12/4 (Temmuz 2024), 178-186. https://doi.org/10.36753/mathenot.1448644.
JAMA Kaya O, Topçu Z. Taylor’s Power Law and Packing Circles. Math. Sci. Appl. E-Notes. 2024;12:178–186.
MLA Kaya, Oğuzhan ve Zeki Topçu. “Taylor’s Power Law and Packing Circles”. Mathematical Sciences and Applications E-Notes, c. 12, sy. 4, 2024, ss. 178-86, doi:10.36753/mathenot.1448644.
Vancouver Kaya O, Topçu Z. Taylor’s Power Law and Packing Circles. Math. Sci. Appl. E-Notes. 2024;12(4):178-86.

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