From Equations to Tri-quations and Multi-quations

Authors

Mourat Tchoshanov, The University of Texas at El PasoFollow
Olga Kosheleva, The University of Texas at El PasoFollow
Vladik Kreinovich, The University of Texas at El PasoFollow

Publication Date

11-2015

Comments

Technical Report: UTEP-CS-15-82

Published in International Journal of Contemporary Mathematical Sciences, 2016, Vol. 11, No. 3, pp. 105-111.

Abstract

In general, an equation A(x₁, ..., x_n)= B(x₁, ..., x_n) corresponds to the situation when we have two quantities A(x₁, ..., x_n) and B(x₁, ..., x_n) which are known to be equal, we know how each of these quantities depends on the unknown parameters x₁, ..., x_n, and we want to find the values of the unknowns x_i from this equality -- and from other similar equalities. In some practical situations, instead of two equal values, we have three (or more) quantities which are all equal to each other. In this paper, we explain how to find the unknowns x_i in such situations, i.e., how to solve the corresponding "tri-quations" and "multi-quations".