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Mathematics and Poetry, with a View towards Machine Learning
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Mathematics and Poetry, with a View towards Machine Learning

A special issue of Sci (ISSN 2413-4155).

Deadline for manuscript submissions: closed (20 April 2022) | Viewed by 26050

Special Issue Editor

Dr. Florin Felix Nichita

E-Mail Website
Guest Editor
Simion Stoilow Institute of Mathematics of The Romanian Academy, P.O. Box 1-764, 014700 Bucharest, Romania
Interests: (co)algebras; bialgebras; Yang–Baxter equations; Lie (co)algebras; quantum groups; Hopf algebras; duality theories; Jordan algebras; non-associative structures; topology; differential geometry
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

We start by proposing three guiding questions for our Special Issue:

(i) What are the similarities (and differences) between mathematical problems and poetic works?

(ii) What kind of mathematical problems can be solved by computers?

(iii) Could computers write poetry with the help of Machine Learning techniques?

Let us comment now on the connections and intermediate levels between mathematics and poetry.

The Fields Medalist Cedric Villani explores these topics in his recent book, “Mathematics is the Poetry of Science” (2020). A great lover of poetry, he insists that the two are intrinsically linked in their aim of both tackling the complexities of our reality as well as distancing us from it. 

The recipient of the “Golden Wreath” for 2019, the main award of the “Struga Poetry Evenings”, the Romanian poet Ana Blandiana, has written poetry inspired from scientific concepts.

In a series of papers on the meetings between the famous poet Nichita Stănescu and the Academician Solomon Marcus, by the author of this Special Issue (see “Caiete Critice” 3/2018, etc.), several intermediate levels between mathematics and poetry are considered.

The above three questions could be considered in the framework of the Big Data Theory and of Machine Learning. For example, Sophia is a social humanoid robot developed by Hong-Kong-based company Hanson Robotics. In October 2017, Sophia became a Saudi Arabian citizen, and it has participated in many high-profile interviews. Hanson designed Sophia to be a suitable companion for the elderly at nursing homes, but it can also be used while treating coronavirus-infected people. If this type of robot could improvise poetry or solve some basic mathematical problems, it could be a better companion.

The focus of this Special Issue will be on the link between mathematics and poetry. High-quality papers on Machine Learning, Big Data and Artificial Intelligence may be accepted, especially if they shed some light on the above guiding questions.

Dr. Florin Felix Nichita
Guest Editor

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Sci is an international peer-reviewed open access quarterly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 1200 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • mathematical poetry
  • poetical mathematics
  • geometry and poetry
  • poems with mathematical imagery
  • transcendental numbers in poetry
  • machine learning
  • big data
  • artificial intelligence
  • transdisciplinarity
  • coronavirus

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Published Papers (5 papers)

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Editorial

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3 pages, 173 KiB  
Editorial
Mathematics and Poetry—Epilogue for a Special Issue
by Florin-Felix Nichita
Sci 2022, 4(2), 19; https://doi.org/10.3390/sci4020019 - 12 May 2022
Viewed by 3597
Abstract
The Special Issue “Mathematics and Poetry, with a View towards Machine Learning”, started with three guiding questions from the guest editor:What are the similarities (and differences) between mathematical problems and poetic works [...] Full article
(This article belongs to the Special Issue Mathematics and Poetry, with a View towards Machine Learning)

Research

Jump to: Editorial

15 pages, 280 KiB  
Article
Mathematics and Poetry · Yang–Baxter Equations, Boolean Algebras, and BCK-Algebras
by Tugce Kalkan, Florin F. Nichita, Tahsin Oner, Ibrahim Senturk and Mehmet Terziler
Sci 2022, 4(2), 16; https://doi.org/10.3390/sci4020016 - 11 Apr 2022
Cited by 3 | Viewed by 2691
Abstract
The current paper explores the potential of the areas between mathematics and poetry. We will first recall some definitions and results that are needed to construct solutions of the Yang–Baxter equation. A new duality principle is presented and Boolean coalgebras are introduced. A [...] Read more.
The current paper explores the potential of the areas between mathematics and poetry. We will first recall some definitions and results that are needed to construct solutions of the Yang–Baxter equation. A new duality principle is presented and Boolean coalgebras are introduced. A section on poetry dedicated to the Yang–Baxter equation is presented, and a discussion on a poem related to a mathematical formula follows. The final section presents our conclusions and further information on these topics. Full article
(This article belongs to the Special Issue Mathematics and Poetry, with a View towards Machine Learning)
13 pages, 712 KiB  
Article
Graph Coverings for Investigating Non Local Structures in Proteins, Music and Poems
by Michel Planat, Raymond Aschheim, Marcelo M. Amaral, Fang Fang and Klee Irwin
Sci 2021, 3(4), 39; https://doi.org/10.3390/sci3040039 - 1 Nov 2021
Cited by 6 | Viewed by 3625
Abstract
We explore the structural similarities in three different languages, first in the protein language whose primary letters are the amino acids, second in the musical language whose primary letters are the notes, and third in the poetry language whose primary letters are the [...] Read more.
We explore the structural similarities in three different languages, first in the protein language whose primary letters are the amino acids, second in the musical language whose primary letters are the notes, and third in the poetry language whose primary letters are the alphabet. For proteins, the non local (secondary) letters are the types of foldings in space (α-helices, β-sheets, etc.); for music, one is dealing with clear-cut repetition units called musical forms and for poems the structure consists of grammatical forms (names, verbs, etc.). We show in this paper that the mathematics of such secondary structures relies on finitely presented groups fp on r letters, where r counts the number of types of such secondary non local segments. The number of conjugacy classes of a given index (also the number of graph coverings over a base graph) of a group fp is found to be close to the number of conjugacy classes of the same index in the free group Fr−1 on r−1 generators. In a concrete way, we explore the group structure of a variant of the SARS-Cov-2 spike protein and the group structure of apolipoprotein-H, passing from the primary code with amino acids to the secondary structure organizing the foldings. Then, we look at the musical forms employed in the classical and contemporary periods. Finally, we investigate in much detail the group structure of a small poem in prose by Charles Baudelaire and that of the Bateau Ivre by Arthur Rimbaud. Full article
(This article belongs to the Special Issue Mathematics and Poetry, with a View towards Machine Learning)
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23 pages, 643 KiB  
Article
Statistics and Machine Learning Experiments in English and Romanian Poetry
by Ovidiu Calin
Sci 2020, 2(4), 92; https://doi.org/10.3390/sci2040092 - 11 Dec 2020
Cited by 8 | Viewed by 4419
Abstract
This paper presents a quantitative approach to poetry, based on the use of several statistical measures (entropy, informational energy, N-gram, etc.) applied to a few characteristic English writings. We found that English language changes its entropy as time passes, and that entropy depends [...] Read more.
This paper presents a quantitative approach to poetry, based on the use of several statistical measures (entropy, informational energy, N-gram, etc.) applied to a few characteristic English writings. We found that English language changes its entropy as time passes, and that entropy depends on the language used and on the author. In order to compare two similar texts, we were able to introduce a statistical method to asses the information entropy between two texts. We also introduced a method of computing the average information conveyed by a group of letters about the next letter in the text. We found a formula for computing the Shannon language entropy and we introduced the concept of N-gram informational energy of a poetry. We also constructed a neural network, which is able to generate Byron-type poetry and to analyze the information proximity to the genuine Byron poetry. Full article
(This article belongs to the Special Issue Mathematics and Poetry, with a View towards Machine Learning)
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10 pages, 263 KiB  
Article
Mathematics and Poetry • Unification, Unity, Union
by Florin Felix Nichita
Sci 2020, 2(4), 84; https://doi.org/10.3390/sci2040084 - 25 Nov 2020
Cited by 6 | Viewed by 3482
Abstract
We consider a multitude of topics in mathematics where unification constructions play an important role: the Yang–Baxter equation and its modified version, Euler’s formula for dual numbers, means and their inequalities, topics in differential geometry, etc. It is interesting to observe that the [...] Read more.
We consider a multitude of topics in mathematics where unification constructions play an important role: the Yang–Baxter equation and its modified version, Euler’s formula for dual numbers, means and their inequalities, topics in differential geometry, etc. It is interesting to observe that the idea of unification (unity and union) is also present in poetry. Moreover, Euler’s identity is a source of inspiration for the post-modern poets. Full article
(This article belongs to the Special Issue Mathematics and Poetry, with a View towards Machine Learning)
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