Preprint Article Version 1 This version is not peer-reviewed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 (doi: 10.20944/preprints201801.0178.v1). Marcus, S.; Nichita, F.F. On Transcendental Numbers: New Results and a Little History. Preprints 2018, 2018010178 (doi: 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.

Subject Areas

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

Readers' Comments and Ratings (0)

Leave a public comment
Send a private comment to the author(s)
Rate this article
Views 0
Downloads 0
Comments 0
Metrics 0
Leave a public comment

×
Alerts
Notify me about updates to this article or when a peer-reviewed version is published.