A **conformal map** is a function between two shapes or spaces that preserves angles locally but may change sizes. In more technical terms, a conformal mapping is a function \( f \) that is holomorphic (complex differentiable) and has a non-zero derivative in a domain of the complex plane. ### Key Properties of Conformal Maps: 1. **Angle Preservation**: Conformal maps preserve the angle between curves at their intersections, which means the local geometric structure is maintained.
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