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Algebraic structure behind Odrzywo{\l}ek's EML operator

Mathematical Physics 2026-04-28 v1 Symbolic Computation math.MP

Abstract

The binary EML operator yields all (transcendental) elementary functions by recursive application, or a binary tree. The structure of the operator itself carries two distinct ingredients: that of an abelian group, and of functional inverse, which reveal a constructive path to many distinct functional families.

Cite

@article{arxiv.2604.23893,
  title  = {Algebraic structure behind Odrzywo{\l}ek's EML operator},
  author = {Tomasz Stachowiak},
  journal= {arXiv preprint arXiv:2604.23893},
  year   = {2026}
}

Comments

5 pages

R2 v1 2026-07-01T12:36:06.138Z