riemann sphere
The Riemann sphere is a mathematical concept that extends the complex number plane by adding a single point at infinity. It visualizes the complex plane as a sphere, where each complex number corresponds to a unique point on the surface of the sphere, including the added point at infinity. The Riemann sphere provides a compact and intuitive representation of the extended complex numbers and is often used in complex analysis and geometry.
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Related Concepts (20)
- algebraic topology
- analytic function
- branch points
- compactification
- complex analysis
- complex numbers
- complex plane
- conformal mapping
- extended complex plane
- fundamental group
- homogeneous coordinates
- infinity
- mobius transformation
- möbius transformation
- möbius transformations
- poincaré disk model
- prime meridian
- projective space
- riemann surface
- stereographic projection