Abstract
This paper is a continuation of a previous article that appeared in AXIOMS in 2018. A Euler’s formula for hyperbolic functions is considered a consequence of a unifying point of view. Then, the unification of Jordan, Lie, and associative algebras is revisited. We also explain that derivations and co-derivations can be unified. Finally, we consider a “modified” Yang–Baxter type equation, which unifies several problems in mathematics.
Highlights
Voted the most famous formula by undergraduate students, the Euler’s identity states that eπi + 1 = 0
While we do not know a remarkable identity related to (2), let us recall an interesting inequality from a previous paper: |ei − π | > e
For A ∈ Mn (C) and D ∈ Mn (C), a diagonal matrix, we propose the problem of finding X ∈
Summary
While we do not know a remarkable identity related to (2), let us recall an interesting inequality from a previous paper: |ei − π | > e. There are several versions of the Yang–Baxter equation (see, for example, [3,4]) presented throughout this paper.
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