monodromy theorem sentence in Hindi

Examples

1. The theorem below which states that is also called the monodromy theorem.
2. This is called the "'monodromy theorem "'and its statement is made precise below.
3. In complex analysis, the "'monodromy theorem "'is an important result about analytic continuation of a complex-analytic function to a larger set.
4. The monodromy theorem makes it possible to extend an analytic function to a larger set via curves connecting a point in the original domain of the function to points in the larger set.
5. The monodromy theorem gives sufficient conditions for analytic continuation to give the same value at a given point regardless of the curve used to get there, so that the resulting extended analytic function is well-defined and single-valued.
6. Now I believe I can choose a'base point'somewhere in the surface constructed by the gluing and then use analytic continuation to extend this to any given point-I am also fairly sure that whatever path we choose to extend it, we should get the same end result presumably, because we need the map to be well-defined-I suspect this follows from the Monodromy theorem.