English

Configuratrix and Resultant

Mathematical Physics 2010-03-24 v1 math.MP

Abstract

In this paper, we obtain an explicit expression for the resultant of n quadratic algebraic equations dS/dx_1 = 0,..., dS/dx_n = 0, where S is a cubic polynomial in n variables, symmetric under permutations of its arguments. Application of this result to the study of Finslerian spaces is discussed.

Cite

@article{arxiv.1003.4329,
  title  = {Configuratrix and Resultant},
  author = {N. Perminov},
  journal= {arXiv preprint arXiv:1003.4329},
  year   = {2010}
}

Comments

4 pages, no figures

R2 v1 2026-06-21T15:01:06.943Z