Assertion: transformation's point | /r/HasProperty | fixed
Facets:
Source sentences:
text: Every non-identity Möbius transformation has two fixed points γ 1 , γ 2 {\displaystyle \gamma
text: Of course, Möbius transformations may have their two fixed points anywhere, not just at the north and south poles.
text: All non-parabolic transformations have two fixed points and are defined by a matrix conjugate to
text: The appearance of the night sky is now transformed continuously in exactly the manner described by the one-parameter subgroup of elliptic transformations sharing the fixed points 0, ∞, and with the number α corresponding to the constant angular velocity of our observer.
text: Then the appearance of the night sky is transformed in exactly the manner described by the one-parameter subgroup of hyperbolic transformations sharing the fixed points 0, ∞, with the real number ρ corresponding to the magnitude of his acceleration vector.