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Axioms 2014, 3(1), 64-69; doi:10.3390/axioms3010064
On Transcendental Numbers
Received: 13 December 2013; in revised form: 7 February 2014 / Accepted: 19 February 2014 / Published: 21 February 2014
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract: 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.
Keywords: transcendental numbers; Yang-Baxter equation; inequalities; exponential function; computational methods; standard distribution