Volumes of n-simplices with vertices on a polynomial space curve

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Cinkir Z.

International Conference on Mathematical Sciences, Bolu, Türkiye, 23 - 27 Kasım 2010, cilt.1309, ss.213-218 identifier identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 1309
  • Doi Numarası: 10.1063/1.3525117
  • Basıldığı Şehir: Bolu
  • Basıldığı Ülke: Türkiye
  • Sayfa Sayıları: ss.213-218
  • Abdullah Gül Üniversitesi Adresli: Hayır

Özet

In this paper, we give a formula for the area of the triangle formed by the vertices that live on a given polynomial, and we generalize this formula to the volumes of n-simplices with vertices on a polynomial space curve. To prove these results, we use induction arguments and a well known identity for complete homogeneous symmetric polynomials.