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New Course
Concept
Hyperbolic Space
Hyperbolic space
is a
non-Euclidean geometric structure
where the
parallel postulate
of
Euclidean geometry
does not hold, allowing for
multiple parallel lines
through a given point. This space exhibits
constant negative curvature
, leading to
unique properties
such as
exponential growth of area
and volume with respect to radius, and is used in various fields including
complex analysis
, relativity, and
network theory
.
Relevant Degrees
Geometry 78%
Algebra 22%
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