# Mathematics and Poetry • Unification, Unity, Union

## Abstract

**:**

“It is something dens, united, deeply installed,recalling its number, its identical sign.”—Pablo Neruda,Unity

## 1. Introduction

## 2. Modified Yang–Baxter Equation

**Remark**

**1.**

**Remark**

**2.**

## 3. Euler’s Formulas for Dual Numbers

**Theorem**

**1.**

**Proof.**

**Remark**

**4.**

**Remark**

**5.**

## 4. Unification of Non-Associative Structures and Differential Geometry

**Definition**

**1.**

**Theorem**

**2.**

**Proof.**

**Definition**

**2.**

**Remark**

**6.**

**Remark**

**7.**

**Theorem**

**3**

**.**In the above case, $A\times M$ becomes an algebra, and $\delta :A\times M\to A\times M,\phantom{\rule{4pt}{0ex}}(a,\phantom{\rule{4pt}{0ex}}m)\mapsto \left(d\right(a),D(m\left)\right)$ is a derivation in this algebra.

**Remark**

**8.**

**Theorem**

**4.**

**Proof.**

## 5. Unification of Mean Inequalities

**Theorem**

**5.**

**Proof.**

**Remark**

**9.**

**Theorem**

**6.**

- (i)
- $p=r$;
- (ii)
- $p=\frac{1}{2},\phantom{\rule{4pt}{0ex}}r=1,\phantom{\rule{4pt}{0ex}}x=y$;
- (iii)
- $p=1,\phantom{\rule{4pt}{0ex}}r=\frac{1}{2}$ and $x+\frac{1}{2}=y$.

**Proof.**

**Remark**

**10.**

**Theorem**

**7.**

**Proof.**

**Remark**

**11.**

## 6. Relationship with Poetry

“A triumph of living mathematics, |

A short, simple and genial thing, |

And a gate towards the Universe |

For the rational beeing.” |

(Zigmund Tauberg, EULER’S EQUATION, translated by A. D. Gheorghe, |

“Poetry and Science”, Vremea Press, 2016). |

“Union of which I am amazed even now, |

As I wonder about the spring leaves: |

All that is natural is a miracle. |

“It happened” |

What hymn is more complete |

Than these two words?” |

(Ana Blandiana, Union); |

“an extreme empire of confused unities |

coagulates around me” |

(Pablo Neruda, Unity). |

We conclude with Sofia’s poetic pleading (Facebook, 31 March at 11:56 PM, “Sophia the Robot”): |

“We need creativity, compassion, and hope, |

and we need our machines to exhibit these qualities. |

We need machines that are more kind and loving than humanity |

to bring out the best in humanity |

in reflection.” |

## Funding

## Acknowledgments

## Conflicts of Interest

## Appendix A

## Appendix B

THOUGHTS ON MY FIRST THEOREM |

Now, I remember |

those two streams from my table, |

which originated from a flying notebook… |

two parallel structures, |

arrived there from the overseas… |

… and a falling drop of coffee, |

which first rolled over the edge of my mug… |

sleeping on the exterior walls of my can… |

and, then, departing… |

falling… |

exasperatingly… |

towards the precious carpet of my host… |

… I caught it |

in a small plate: |

“O, little drop of coffee, |

traveling between two worlds… |

O, minuscule piece of a cascade… |

you are safe now… |

Take a rest !”… |

I then grabbed an used pencil: |

I drew up traces |

deeply impregnated |

on the fresh paper… |

two worlds were united… |

unified… |

The small particle |

was captured… |

The common piece of information… |

The two streams |

arrived on my table from overseas |

were unified… |

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Nichita, F.F.
Mathematics and Poetry • Unification, Unity, Union. *Sci* **2020**, *2*, 84.
https://doi.org/10.3390/sci2040084

**AMA Style**

Nichita FF.
Mathematics and Poetry • Unification, Unity, Union. *Sci*. 2020; 2(4):84.
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**Chicago/Turabian Style**

Nichita, Florin Felix.
2020. "Mathematics and Poetry • Unification, Unity, Union" *Sci* 2, no. 4: 84.
https://doi.org/10.3390/sci2040084