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Hyperbolic geometry and Rapidity

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

Difference between Hyperbolic geometry and Rapidity

Hyperbolic geometry vs. Rapidity

In mathematics, hyperbolic geometry (also called Bolyai–Lobachevskian geometry or Lobachevskian geometry) is a non-Euclidean geometry. In relativity, rapidity is commonly used as a measure for relativistic velocity.

Similarities between Hyperbolic geometry and Rapidity

Hyperbolic geometry and Rapidity have 6 things in common (in Unionpedia): American Mathematical Monthly, Cartesian coordinate system, Hyperbolic geometry, Hyperboloid model, Poincaré disk model, Proper time.

American Mathematical Monthly

The American Mathematical Monthly is a mathematical journal founded by Benjamin Finkel in 1894.

American Mathematical Monthly and Hyperbolic geometry · American Mathematical Monthly and Rapidity · See more »

Cartesian coordinate system

A Cartesian coordinate system is a coordinate system that specifies each point uniquely in a plane by a pair of numerical coordinates, which are the signed distances to the point from two fixed perpendicular directed lines, measured in the same unit of length.

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Hyperbolic geometry

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

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Hyperboloid model

In geometry, the hyperboloid model, also known as the Minkowski model or the Lorentz model (after Hermann Minkowski and Hendrik Lorentz), is a model of n-dimensional hyperbolic geometry in which points are represented by the points on the forward sheet S+ of a two-sheeted hyperboloid in (n+1)-dimensional Minkowski space and m-planes are represented by the intersections of the (m+1)-planes in Minkowski space with S+.

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Poincaré disk model

In geometry, the Poincaré disk model, also called the conformal disk model, is a model of 2-dimensional hyperbolic geometry in which the points of the geometry are inside the unit disk, and the straight lines consist of all segments of circles contained within that disk that are orthogonal to the boundary of the disk, plus all diameters of the disk.

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Proper time

In relativity, proper time along a timelike world line is defined as the time as measured by a clock following that line.

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The list above answers the following questions

Hyperbolic geometry and Rapidity Comparison

Hyperbolic geometry has 175 relations, while Rapidity has 51. As they have in common 6, the Jaccard index is 2.65% = 6 / (175 + 51).

References

This article shows the relationship between Hyperbolic geometry and Rapidity. To access each article from which the information was extracted, please visit:

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