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The maximal analytic continuation of a holomorphic function is an example of Riemann surfaces.

What is it used for?

Please edit the question to limit it to a specific problem with enough detail to identify an adequate answer.

I want to know the applications related to the real world rather than pure mathematics.

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closed as too broad by Nosrati, Brahadeesh, Lord Shark the Unknown, Leucippus, Cesareo Dec 13 '18 at 8:54

Please edit the question to limit it to a specific problem with enough detail to identify an adequate answer. Avoid asking multiple distinct questions at once. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.