Discrepancy theory is a branch of mathematics and statistical theory that deals with the differences or discrepancies between two or more sets of data, distributions, or mathematical objects. It is often concerned with quantifying how much two sets differ from each other, which can be particularly useful in various fields such as statistics, optimization, and machine learning.
The Beck–Fiala theorem is a result in the field of combinatorial geometry, specifically concerning the covering of points by convex sets.
The discrepancy of hypergraphs is a concept in combinatorial mathematics that deals with how evenly one can color or distribute a set of points (or elements) among different subsets (or hyperedges) of a hypergraph. More formally, it is concerned with the maximum imbalance that can arise when assigning colors, typically two colors, to the vertices of the hypergraph with respect to the hyperedges.
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