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translations for
riemann sphere
Definition of riemann sphere
The
complex numbers
extended with the number
∞
; the
complex plane
extended with a single idealised point at
infinity
and consequently
homeomorphic
to a
sphere
in 3-dimensional
Euclidean space
The 2-
sphere
embedded in Euclidean three-dimensional space and often represented as a
unit sphere
, regarded as a
homeomorphic
representation of the
extended complex plane
and thus the
extended complex numbers
Related words
Riemannian
Riemann hypothesis
Riemann surface
Riemann space
Riemann zeta function
Riemann integral
Riemann sum
pseudo-Riemannian manifold
Riemannian manifold
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