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...

a unit disk graph is the intersection graph of a family of unit disks in the Euclidean plane. That is, it is a graph with one vertex for each disk in...

unit circle is called the open unit disk, while the interior of the unit circle combined with the unit circle itself is called the closed unit disk....

every point of the open unit disk to another point on the open unit disk to the right of the given one. But for the closed unit disk it fixes every point...

magnetic disk storage devices from 1956 to 2003, when it sold its hard disk drive business to Hitachi. Both the hard disk drive (HDD) and floppy disk drive...

Poincaré disk model, also called the conformal disk model, is a model of 2-dimensional hyperbolic geometry in which all points are inside the unit disk, and...

frequently historical, as in IBM's usage of the disk form beginning in 1956 with the "IBM 350 disk storage unit".) Audio information was originally recorded...

contains a simplex for every clique in the unit disk graph, so it is the clique complex or flag complex of the unit disk graph. More generally, the clique complex...

Hardy classes) Hp are certain spaces of holomorphic functions on the unit disk or upper half plane. They were introduced by Frigyes Riesz (Riesz 1923)...

cover the unit disk. Dually, for a given radius ε, one wishes to find the smallest integer n such that n disks of radius ε can cover the unit disk. The best...

the Advanced Format (AF). The sector is the minimum storage unit of a hard drive. Most disk partitioning schemes are designed to have files occupy an integral...

on the upper half-plane. The Poincaré disk model defines a model for hyperbolic space on the unit disk. The disk and the upper half plane are related by...

from the unit disk U to itself, or from the upper half-plane H to itself, will not increase the Poincaré distance between points. The unit disk U with the...

explicitly. For example, the solution to the Dirichlet problem for the unit disk in R2 is given by the Poisson integral formula. If f {\displaystyle f}...

A hard disk drive (HDD), hard disk, hard drive, or fixed disk is an electro-mechanical data storage device that stores and retrieves digital data using...

behaviour of holomorphic functions defined on the unit disk. It gives a lower bound on the size of a disk in which an inverse to a holomorphic function exists...

were available. Unit production peaked in 2010 at about 650 million units, and has been in a slow decline since then. The IBM 350 Disk File was developed...

In mathematics, an infinite geometric series of the form ∑ n = 1 ∞ a r n − 1 = a + a r + a r 2 + a r 3 + ⋯ {\displaystyle \sum _{n=1}^{\infty }ar^{n-1...

result in complex analysis about holomorphic functions from the open unit disk to itself. The lemma is less celebrated than deeper theorems, such as...

as the area of a circle in informal contexts, strictly speaking the term disk refers to the interior region of the circle, while circle is reserved for...

disk model, and the Cayley–Klein model, is a model of hyperbolic geometry in which points are represented by the points in the interior of the unit disk...

two-dimensional Laplace equation, given Dirichlet boundary conditions on the unit disk. The kernel can be understood as the derivative of the Green's function...

on compact sets as t tends to infinity. Let D {\displaystyle D} be the unit disk in the complex plane with the Poincaré metric d s 2 = 4 | d z | 2 ( 1...

spaces. A sequence of points ( a n ) {\displaystyle (a_{n})} inside the unit disk is said to satisfy the Blaschke condition when ∑ n ( 1 − | a n | ) < ∞...

whose inverse is also holomorphic) from U {\displaystyle U} onto the open unit disk D = { z ∈ C : | z | < 1 } . {\displaystyle D=\{z\in \mathbb {C} :|z|<1\}...

disk algebra A(D) (also spelled disc algebra) is the set of holomorphic functions ƒ : D → C {\displaystyle \mathbb {C} } , (where D is the open unit disk...

mainframe hard disk drives beginning with the 3333 in 1972. The 3333 was the first unit in a string of up to eight 3330 type hard disk drives; it contained...

to the unit disk. In terms of the models of hyperbolic geometry, this Cayley transform relates the Poincaré half-plane model to the Poincaré disk model...

minimum unit of storage that is read from and written to a disk by a disk driver. The earliest disk drives had fixed block sizes (e.g. the IBM 350 disk storage...

of a complex polynomial function on the unit disk with the maximum modulus of its derivative on the unit disk. It was proven by Sergei Bernstein while...