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See all on WikipediaUnit disk - Wikipedia
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: $${\displaystyle D_{1}(P)=\{Q:\vert P-Q\vert <1\}.\,}$$The closed unit disk around P is the set of points whose distance from P is less than or equal to one: See more
The 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
One 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 moreWikipedia text under CC-BY-SA license Unit Disk -- from Wolfram MathWorld
WEB2 days ago · Unit Disk. A disk with radius 1. The (open) unit disk can also be considered to be the region in the complex plane defined by , where denotes the complex modulus. …
unit disk - PlanetMath.org
There are several possible definitions of the unit disk graph, equivalent to each other up to a choice of scale factor:
• Unit disk graphs are the graphs formed from a collection of points in the Euclidean plane, with a vertex for each point and an edge connecting each pair of points whose distance is below a fixed threshold.Wikipedia · Text under CC-BY-SA license- Published: Mar 22, 2013
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Unit disk graph - Wikipedia
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Unit disk - Wikiwand
WEBIn 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: An open Euclidean unit …
unit disc - PlanetMath.org
WEBunit disc. A closed unit disc is the set of points whose distance from P P is less than or equal to one: Unit discs are a special case of unit ball. Without further specifications, the …
Complex Space : Why unit disc? - Mathematics Stack Exchange
WEBDec 21, 2015 · Terminological remark: it's best to use different words for the unit circle $|z|=1$ and the unit disk $|z|<1$. When you mention the Laplace equation, you probably …
WEBAutomorphisms of the Unit Disk. Let D = fz : jzj < 1. We want to describe all conformal maps from D onto D. We will postpone doing this and instead describe all linear fractional …
Disk Algebra -- from Wolfram MathWorld
WEBAug 22, 2024 · A disk algebra is an algebra of functions which are analytic on the open unit disk in C and continuous up to the boundary. A representative measure for a point x in …
Unit Disk Integral -- from Wolfram MathWorld
WEBAug 22, 2024 · Mathematica. Wolfram Demonstrations. Wolfram for Education. Created, developed and nurtured by Eric Weisstein at Wolfram Research. The integral of 1/r over …
Disk (mathematics) - Wikipedia
WEBIn geometry, a disk (also spelled disc) [1] is the region in a plane bounded by a circle. A disk is said to be closed if it contains the circle that constitutes its boundary, and open if …
WEBUnit disk graphs are the intersection graphs of equal sized circles in the plane: they provide a graph-theoretic model for broadcast networks (cellular networks) and for some …
Function Classes on the Unit Disc - De Gruyter
WEBAug 19, 2019 · This revised and extended edition of a well-established monograph in function theory contains a study on various function classes on the disc, a number of …
2.2: Open Disks, Open Deleted Disks, and Open Regions
WEBDefinition: Open Disk. The open disk of radius r r around z0 z 0 is the set of points z z with |z −z0| <r | z − z 0 | <r, i.e. all points within distance r r of z0 z 0. The open deleted disk of radius r r around z0 z 0 is the set of points z z with 0 <|z −z0| <r 0 <| z − z 0 | <r.
Disk—Wolfram Language Documentation
WEBDisk[{x, y}, r] represents a disk of radius r centered at {x, y}. Disk[{x, y}] gives a disk of radius 1. Disk[{x, y}, {rx, ry}] gives an axis-aligned elliptical disk with semiaxes lengths rx …
Disk -- from Wolfram MathWorld
WEBAug 22, 2024 · A disk is the shadow of a ball on a plane perpendicular to the ball-radiant point line. The -disk for is called a ball, and the boundary of the -disk is a -hypersphere. …
Disk algebra - Wikipedia
WEBIn mathematics, specifically in functional and complex analysis, the disk algebra A (D) (also spelled disc algebra) is the set of holomorphic functions. (where D is the open unit disk …
unit disk graphs - Graph Classes
WEBA unit disk graph is a disk graph with an intersection model consisting of disks of unit size. Many problems that are NP-complete in general remain NP-complete on this class. See …
Unit disk graphs - ScienceDirect
WEBDec 14, 1990 · Unit disk graphs are the intersection graphs of equal sized circles in the plane: they provide a graph-theoretic model for broadcast networks (cellular networks) …
calculus - Calculation of an integral on the unit disk - Mathematics ...
WEBI want to calculate the integral $\int_D xy^3+y^2 \ dA$ on the unit disk $x^2+y^2\leq 1$. $$$$ I have done the following: $$x=r\cos \theta , \ y=r\sin \theta, \ r^2=x^2+y^2\leq 1$$ …
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