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Möbius transformation and Point at infinity

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Möbius transformation and Point at infinity

Möbius transformation vs. Point at infinity

In geometry and complex analysis, a Möbius transformation of the complex plane is a rational function of the form of one complex variable z; here the coefficients a, b, c, d are complex numbers satisfying ad − bc ≠ 0. In geometry, a point at infinity or ideal point is an idealized limiting point at the "end" of each line.

Similarities between Möbius transformation and Point at infinity

Möbius transformation and Point at infinity have 6 things in common (in Unionpedia): Alexandroff extension, Cayley–Klein metric, Geometry, Hyperbolic geometry, Hyperbolic space, Riemann sphere.

Alexandroff extension

In the mathematical field of topology, the Alexandroff extension is a way to extend a noncompact topological space by adjoining a single point in such a way that the resulting space is compact.

Alexandroff extension and Möbius transformation · Alexandroff extension and Point at infinity · See more »

Cayley–Klein metric

In mathematics, a Cayley–Klein metric is a metric on the complement of a fixed quadric in a projective space is defined using a cross-ratio.

Cayley–Klein metric and Möbius transformation · Cayley–Klein metric and Point at infinity · See more »

Geometry

Geometry (from the γεωμετρία; geo- "earth", -metron "measurement") is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space.

Geometry and Möbius transformation · Geometry and Point at infinity · See more »

Hyperbolic geometry

In mathematics, hyperbolic geometry (also called Bolyai–Lobachevskian geometry or Lobachevskian geometry) is a non-Euclidean geometry.

Hyperbolic geometry and Möbius transformation · Hyperbolic geometry and Point at infinity · See more »

Hyperbolic space

In mathematics, hyperbolic space is a homogeneous space that has a constant negative curvature, where in this case the curvature is the sectional curvature.

Hyperbolic space and Möbius transformation · Hyperbolic space and Point at infinity · See more »

Riemann sphere

In mathematics, the Riemann sphere, named after Bernhard Riemann, is a model of the extended complex plane, the complex plane plus a point at infinity.

Möbius transformation and Riemann sphere · Point at infinity and Riemann sphere · See more »

The list above answers the following questions

Möbius transformation and Point at infinity Comparison

Möbius transformation has 158 relations, while Point at infinity has 34. As they have in common 6, the Jaccard index is 3.12% = 6 / (158 + 34).

References

This article shows the relationship between Möbius transformation and Point at infinity. To access each article from which the information was extracted, please visit:

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