Roots of Second Order Polynomials with Real Coefficients in Elliptic Scator Algebra

Manuel FERNANDEZ-GUASTİ

doi:https://doi.org/10.53570/jnt.956340

Makale detayları

Roots of Second Order Polynomials with Real Coefficients in Elliptic Scator Algebra

Yazarlar:

Manuel FERNANDEZ-GUASTİ

Yayıncı:

Tokat Gaziosmanpasa University

Ana Başlıklar:

Matematik

Dergi:

Journal of New Theory 2021 Issue 36, pp.39-48

Belge Tipi:

Makale

Yayın Tarihi:

9/2021

Belge Dili:

İngilizce

Document ID (Org No.):

2000490273

Sıklık:

Üç Aylık

pISSN:

2149-1402

DOI:

https://doi.org/10.53570/jnt.956340

Özet:

 

The roots of second order polynomials with real coefficients are obtained in the S^{1+2} scator set. Explicit formulae are computed in terms of the polynomial coefficients. Although the scator product does not distribute over addition, the lack of distributivity is surmountable in order to find the zeros of the polynomial. The structure of the solutions and their distribution in  1+2 dimensional scator space are illustrated and discussed. There exist six, two, or eight solutions, depending on the value of polynomial coefficients. Four of these roots only exist in the hypercomplex S^{1+2}\S^{1+1} set.

Makale detayları

Roots of Second Order Polynomials with Real Coefficients in Elliptic Scator Algebra

Yazarlar: Manuel FERNANDEZ-GUASTİ

Yayıncı: Tokat Gaziosmanpasa University

Ana Başlıklar: Matematik

Dergi: Journal of New Theory 2021 Issue 36, pp.39-48

Belge Tipi: Makale

Yayın Tarihi: 9/2021

Belge Dili: İngilizce

Document ID (Org No.): 2000490273

Sıklık: Üç Aylık

pISSN: 2149-1402

DOI: https://doi.org/10.53570/jnt.956340

Sayı

Yazarlar:

Manuel FERNANDEZ-GUASTİ

Yayıncı:

Tokat Gaziosmanpasa University

Ana Başlıklar:

Matematik

Dergi:

Journal of New Theory 2021 Issue 36, pp.39-48

Belge Tipi:

Makale

Yayın Tarihi:

9/2021

Belge Dili:

İngilizce

Document ID (Org No.):

2000490273

Sıklık:

Üç Aylık

pISSN:

2149-1402

DOI:

https://doi.org/10.53570/jnt.956340