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A generalization of Boole's formula derived from a system of linear equations

Combinatorics 2024-05-27 v1

Abstract

We analyze a system of linear algebraic equations whose solutions lead to a proof of a generalization of Boole's formula. In particular, our approach provides an elementary and short alternative to Katsuura's proof of this generalization.

Keywords

Cite

@article{arxiv.2403.16731,
  title  = {A generalization of Boole's formula derived from a system of linear equations},
  author = {Haoran Zhu},
  journal= {arXiv preprint arXiv:2403.16731},
  year   = {2024}
}

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3 pages