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Balancing non-rectangular tables

History and Overview 2020-04-22 v2

Abstract

Balancing square and rectangular tables by rotation has been a interesting way to illustrate the intermediate value theorem. The aim of this note is to show that the balancing act but with non-rectangular tables can be a nice application of the ergodic theorem (or more generally, invariant measures).

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Cite

@article{arxiv.2004.09260,
  title  = {Balancing non-rectangular tables},
  author = {Antoine Gournay},
  journal= {arXiv preprint arXiv:2004.09260},
  year   = {2020}
}

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5 pages