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arXiv · 2503.07864

Dependence of functions on their variables

Ilijas Farah
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Abstract

In this note I present a readable version of the proof of my 2001 result, giving a sufficient and necessary condition for a function on a combinatorial cube to essentially (locally) depend on at most one variable (see the end of the paper for the motivation), as well as some limiting results.

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Ilijas Farah. 2025-03-10. Dependence of functions on their variables. https://arxiv.org/abs/2503.07864

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