Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

On Transcendental Numbers: New Results and a Little History

Version 1 : Received: 16 January 2018 / Approved: 19 January 2018 / Online: 19 January 2018 (04:07:39 CET)

How to cite: Marcus, S.; Nichita, F.F. On Transcendental Numbers: New Results and a Little History. Preprints 2018, 2018010178. https://doi.org/10.20944/preprints201801.0178.v1 Marcus, S.; Nichita, F.F. On Transcendental Numbers: New Results and a Little History. Preprints 2018, 2018010178. https://doi.org/10.20944/preprints201801.0178.v1

Abstract

Bringing toghether mathematical and philosophical ideas related to transcendental numbers, this paper begins with a survey on transcendence and transcendental numbers, it then presents several properties of the transcendental numbers e and π, and then it gives the proof of a new inequality for transcendental numbers. Also, in relationship with these topics, we study solutions to the Yang-Baxter equation from hyperbolic functions and from logical implication.

Keywords

Euler's relation; transcendental numbers; transcendental operations / functions; transcendence; Yang-Baxter equation; hyperbolic functions, logical implication

Subject

Computer Science and Mathematics, Mathematics

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