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Concept information

Preferred term

branch point  

Definition(s)

  • In the mathematical field of complex analysis, a branch point of a multi-valued function (usually referred to as a "multifunction" in the context of complex analysis) is a point such that if the function is n-valued (has n values) at that point, all of its neighborhoods contain a point that has more than n values. Multi-valued functions are rigorously studied using Riemann surfaces, and the formal definition of branch points employs this concept.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Branch_point)

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http://data.loterre.fr/ark:/67375/PSR-NW7ZN84W-3

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