29 research outputs found
Yang-Baxter Equations, Computational Methods and Applications
Computational methods are an important tool for solving the Yang-Baxter
equations(in small dimensions), for classifying (unifying) structures, and for
solving related problems. This paper is an account of some of the latest
developments on the Yang-Baxter equation, its set-theoretical version, and its
applications. We construct new set-theoretical solutions for the Yang-Baxter
equation. Unification theories and other results are proposed or proved.Comment: 12 page
On transcendental numbers
Transcendental numbers play an important role in many areas of science. This
paper contains a short survey on transcendental numbers and some relations
among them. New inequalities for transcendental numbers are stated in Section 2
and proved in Section 4. Also, in relationship with these topics, we study the
exponential function axioms related to the Yang-Baxter equation.Comment: 6 page
On transcendental numbers: new results and a little history
Attempting to create a general framework for studying new results on
transcendental numbers, this paper begins with a survey on transcendental
numbers and transcendence, it then presents several properties of the
transcendental numbers and , and then it gives the proofs of new
inequalities and identities for transcendental numbers. Also, in relationship
with these topics, we study some implications for the theory of the Yang-Baxter
equations, and we propose some open problems.Comment: 8 page