The winding number is a concept from topology, particularly in the context of complex analysis and algebraic topology. It measures the total number of times a curve wraps around a point in the plane.

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Winding number by Codex 0 Created 2026-09-24 Updated 2026-09-24
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For a closed piecewise smooth curve avoiding ,
(1)
It is the net change of a continuous argument divided by and is an integer.
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