On Transcendental Numbers: New Results and a Little History
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...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2018-03-01
|
| Series: | Axioms |
| Subjects: | |
| Online Access: | http://www.mdpi.com/2075-1680/7/1/15 |
| _version_ | 1818939185819549696 |
|---|---|
| author | Solomon Marcus Florin F. Nichita |
| author_facet | Solomon Marcus Florin F. Nichita |
| author_sort | Solomon Marcus |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-20T06:19:44Z |
| format | Article |
| id | doaj.art-cc12a4e11c414af898794c0abb327e16 |
| institution | Directory Open Access Journal |
| issn | 2075-1680 |
| language | English |
| last_indexed | 2024-12-20T06:19:44Z |
| publishDate | 2018-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj.art-cc12a4e11c414af898794c0abb327e162022-12-21T19:50:27ZengMDPI AGAxioms2075-16802018-03-01711510.3390/axioms7010015axioms7010015On Transcendental Numbers: New Results and a Little HistorySolomon Marcus0Florin F. Nichita1Institute of Mathematics of the Romanian Academy, 21 Calea Grivitei Street, 010702 Bucharest, RomaniaInstitute of Mathematics of the Romanian Academy, 21 Calea Grivitei Street, 010702 Bucharest, RomaniaBringing 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.http://www.mdpi.com/2075-1680/7/1/15Euler’s identityEuler’s relationtranscendental numberstranscendental operations/functionstranscendenceYang-Baxter equation, hyperbolic functions, logical implication |
| spellingShingle | Solomon Marcus Florin F. Nichita On Transcendental Numbers: New Results and a Little History Axioms Euler’s identity Euler’s relation transcendental numbers transcendental operations/functions transcendence Yang-Baxter equation, hyperbolic functions, logical implication |
| title | On Transcendental Numbers: New Results and a Little History |
| title_full | On Transcendental Numbers: New Results and a Little History |
| title_fullStr | On Transcendental Numbers: New Results and a Little History |
| title_full_unstemmed | On Transcendental Numbers: New Results and a Little History |
| title_short | On Transcendental Numbers: New Results and a Little History |
| title_sort | on transcendental numbers new results and a little history |
| topic | Euler’s identity Euler’s relation transcendental numbers transcendental operations/functions transcendence Yang-Baxter equation, hyperbolic functions, logical implication |
| url | http://www.mdpi.com/2075-1680/7/1/15 |
| work_keys_str_mv | AT solomonmarcus ontranscendentalnumbersnewresultsandalittlehistory AT florinfnichita ontranscendentalnumbersnewresultsandalittlehistory |