Mathematics and Poetry • Unification, Unity, Union

Round 1

Reviewer 1 Report

This manuscript constructs a good bridge between mathematics and poetry. So, I think that this manuscript is a readable paper by people interested with mathematics and poetry.

Author Response

Dear Reviewer, Thank very much you for your effort. Best wishes, Author Dear Reviewer, We also invite you to publish in Sci in the future. Best wishes, Author

Reviewer 2 Report

 The above paper is interesting, giving mathematical analysis with theorems and proofs, but I think this alone is not enough. The paper needs to be significantly extended to include experimental analysis, provide statistical analysis on some selected poems and then link with the proofs presented. A better literature review is needed and proper results section with discussion is also needed.

 

Major revisions needed 

Author Response

1. This paper is interesting (giving mathematical analysis with theorems and proofs); 2. It needs to be significantly extended to include experimental analysis, provide statistical analysis on some selected poems and then link with the proofs presented. 3. A better literature review is needed and proper results section with discussion is also needed. Dear Reviewer, We appreciate your effort for reading this paper and your interest in mathematics and poetry. We are glad that you consider this paper interesting and we hope that we will collaborate in the future. In a future paper, we will consider your suggestions. Best wishes, Author

Reviewer 3 Report

The paper under review contains examples of unification structures in mathematics (non associative structures and Differential Geometry, mean inequalities, etc.) and comments about the Yang-Baxter modified equation and Euler's formulas for dual numbers.The author tries at theend to link all those mathematical topics to poetry. Although the article is well written and pleasantly readable, one can hardly find connections among the several topics discussed in it. In particular, the link attempted to poetry is, according to my opinion, shallow and superficial. A better justification of the relative connections is certainly needed from the author.

Author Response

1. This paper contains: - examples of unification structures in mathematics (non-associative structures, mean inequalities, etc); - comments about the Yang-Baxter equation; - Euler's formulas for dual numbers. 2.The article is well written and pleasantly readable. 3.The link attempted to poetry is, according to my opinion, superficial. Andre Weil explains that the areas of modern mathematics need to be unified in a simple and general theory. In this way, we will see more clearly which are the main problems in mathematics (Axioms 2018, 7, 85). The current paper could be seen as a hybrid paper. It contains mathematical results, but it also suggests some poetic vision. a "poet" (Pablo Neruda, Unity) on the shore of the mathematical ocean observes that means could be unified, the three matrix problem and the Yang-Baxter equation can be united in a new problem, three kinds of representative coalgebras were previously unified (Remark 5 - Axioms 2018, 7, 85). This unifications are surprising ("It happened" - Ana Blandiana, Union). The ;link with poetry is just suggested, hidden, or referred to (https://www.poetrysoup.com/poems/euler).

Round 2

Reviewer 3 Report

The author has answered satisfactorily my comments and suggestions of my first review report. I am pleased now to recommend acceptance of the paper in its present form.

Author Response

The author has answered satisfactorily my comments and suggestions of my first review report. I am pleased now to recommend acceptance of the paper in its present form. The author would like to thank the reviewer. Best wishes!