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- Without further specifications, the term unit disk is used for the open unit disk about the origin,, with respect to the standard Euclidean metric. It is the interior of a circle of radius 1, centered at the origin. This set can be identified with the set of all complex numbers of absolute value less than one.www.wikiwand.com/en/articles/Unit_disk
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Unit disk - Wikipedia
Without further specifications, the term unit disk is used for the open unit disk about the origin, (), with respect to the standard Euclidean metric. It is the interior of a circle of radius 1, centered at the origin. See more
In mathematics, the open unit disk (or disc) around P (where P is a given point in the plane), is the set of points whose distance from P is less than 1:
$${\displaystyle D_{1}(P)=\{Q:\vert P-Q\vert <1\}.\,}$$ See moreOne also considers unit disks with respect to other metrics. For instance, with the taxicab metric and the Chebyshev metric disks look like squares (even though the underlying See more
• Weisstein, Eric W. "Unit disk". MathWorld.
• On the Perimeter and Area of the Unit Disc, by J.C. Álvarez Pavia and A.C. Thompson See moreThe open unit disk forms the set of points for the Poincaré disk model of the hyperbolic plane. Circular arcs perpendicular to the unit circle form the "lines" in this model. … See more
Wikipedia text under CC-BY-SA license Poincaré disk model - Wikipedia
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Poincaré Hyperbolic Disk -- from Wolfram MathWorld
WEB2 days ago · The Poincaré hyperbolic disk is a two-dimensional space having hyperbolic geometry defined as the disk {x in R^2:|x|<1}, with hyperbolic metric ds^2=(dx^2+dy^2)/((1-x^2-y^2)^2).
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2 - Hyperbolic metric in the unit disk - Cambridge …
WEBInformation. Hyperbolic Geometry from a Local Viewpoint , pp. 32 - 52. DOI: https://doi.org/10.1017/CBO9780511618789.003. Publisher: Cambridge University Press. Print publication year: 2007. Access options. Get …
The riemannian metric on the unit disk of complex form.
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