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A note on Venn diagrams. (English) Zbl 0671.51007

A theorem on the limitation of the number of algebraic curves used as Venn diagram boundaries imposed by the dimension of the vector space of their defining functions is proved using a linear algebra argument.

MSC:

51M05 Euclidean geometries (general) and generalizations
03B05 Classical propositional logic
15A03 Vector spaces, linear dependence, rank, lineability
52A20 Convex sets in \(n\) dimensions (including convex hypersurfaces)
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