Logo
Unionpedia
Communication
Get it on Google Play
New! Download Unionpedia on your Android™ device!
Free
Faster access than browser!
 

Disk (mathematics)

Index Disk (mathematics)

In geometry, a disk (also spelled disc). [1]

26 relations: Algebraic topology, Annulus (mathematics), Area, Area of a circle, Ball (mathematics), Bijection, Brouwer fixed-point theorem, Cartesian coordinate system, Circle, Circular symmetry, Compact space, Continuous function, Contractible space, Disk algebra, Euler characteristic, Fixed point (mathematics), Fundamental group, Geometry, Homeomorphism, Homology (mathematics), Homotopy, Orthocentroidal circle, Plane (geometry), Spelling of disc, Surjective function, Unit disk.

Algebraic topology

Algebraic topology is a branch of mathematics that uses tools from abstract algebra to study topological spaces.

New!!: Disk (mathematics) and Algebraic topology · See more »

Annulus (mathematics)

In mathematics, an annulus (the Latin word for "little ring" is anulus/annulus, with plural anuli/annuli) is a ring-shaped object, a region bounded by two concentric circles.

New!!: Disk (mathematics) and Annulus (mathematics) · See more »

Area

Area is the quantity that expresses the extent of a two-dimensional figure or shape, or planar lamina, in the plane.

New!!: Disk (mathematics) and Area · See more »

Area of a circle

In geometry, the area enclosed by a circle of radius is.

New!!: Disk (mathematics) and Area of a circle · See more »

Ball (mathematics)

In mathematics, a ball is the space bounded by a sphere.

New!!: Disk (mathematics) and Ball (mathematics) · See more »

Bijection

In mathematics, a bijection, bijective function, or one-to-one correspondence is a function between the elements of two sets, where each element of one set is paired with exactly one element of the other set, and each element of the other set is paired with exactly one element of the first set.

New!!: Disk (mathematics) and Bijection · See more »

Brouwer fixed-point theorem

Brouwer's fixed-point theorem is a fixed-point theorem in topology, named after L. E. J. (Bertus) Brouwer.

New!!: Disk (mathematics) and Brouwer fixed-point theorem · See more »

Cartesian coordinate system

A Cartesian coordinate system is a coordinate system that specifies each point uniquely in a plane by a pair of numerical coordinates, which are the signed distances to the point from two fixed perpendicular directed lines, measured in the same unit of length.

New!!: Disk (mathematics) and Cartesian coordinate system · See more »

Circle

A circle is a simple closed shape.

New!!: Disk (mathematics) and Circle · See more »

Circular symmetry

In geometry, circular symmetry is a type of continuous symmetry for a planar object that can be rotated by any arbitrary angle and map onto itself.

New!!: Disk (mathematics) and Circular symmetry · See more »

Compact space

In mathematics, and more specifically in general topology, compactness is a property that generalizes the notion of a subset of Euclidean space being closed (that is, containing all its limit points) and bounded (that is, having all its points lie within some fixed distance of each other).

New!!: Disk (mathematics) and Compact space · See more »

Continuous function

In mathematics, a continuous function is a function for which sufficiently small changes in the input result in arbitrarily small changes in the output.

New!!: Disk (mathematics) and Continuous function · See more »

Contractible space

In mathematics, a topological space X is contractible if the identity map on X is null-homotopic, i.e. if it is homotopic to some constant map.

New!!: Disk (mathematics) and Contractible space · See more »

Disk algebra

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 in the complex plane C, f extends to a continuous function on the closure of D. That is, where H^\infty(\mathbf) denotes the Banach space of bounded analytic functions on the unit disc D (i.e. a Hardy space).

New!!: Disk (mathematics) and Disk algebra · See more »

Euler characteristic

In mathematics, and more specifically in algebraic topology and polyhedral combinatorics, the Euler characteristic (or Euler number, or Euler–Poincaré characteristic) is a topological invariant, a number that describes a topological space's shape or structure regardless of the way it is bent.

New!!: Disk (mathematics) and Euler characteristic · See more »

Fixed point (mathematics)

In mathematics, a fixed point (sometimes shortened to fixpoint, also known as an invariant point) of a function is an element of the function's domain that is mapped to itself by the function.

New!!: Disk (mathematics) and Fixed point (mathematics) · See more »

Fundamental group

In the mathematical field of algebraic topology, the fundamental group is a mathematical group associated to any given pointed topological space that provides a way to determine when two paths, starting and ending at a fixed base point, can be continuously deformed into each other.

New!!: Disk (mathematics) and Fundamental group · See more »

Geometry

Geometry (from the γεωμετρία; geo- "earth", -metron "measurement") is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space.

New!!: Disk (mathematics) and Geometry · See more »

Homeomorphism

In the mathematical field of topology, a homeomorphism or topological isomorphism or bi continuous function is a continuous function between topological spaces that has a continuous inverse function.

New!!: Disk (mathematics) and Homeomorphism · See more »

Homology (mathematics)

In mathematics, homology is a general way of associating a sequence of algebraic objects such as abelian groups or modules to other mathematical objects such as topological spaces.

New!!: Disk (mathematics) and Homology (mathematics) · See more »

Homotopy

In topology, two continuous functions from one topological space to another are called homotopic (from Greek ὁμός homós "same, similar" and τόπος tópos "place") if one can be "continuously deformed" into the other, such a deformation being called a homotopy between the two functions.

New!!: Disk (mathematics) and Homotopy · See more »

Orthocentroidal circle

In geometry, the orthocentroidal circle of a non-equilateral triangle is the circle that has the triangle's orthocenter and its centroid at opposite ends of a diameter.

New!!: Disk (mathematics) and Orthocentroidal circle · See more »

Plane (geometry)

In mathematics, a plane is a flat, two-dimensional surface that extends infinitely far.

New!!: Disk (mathematics) and Plane (geometry) · See more »

Spelling of disc

Disc and disk are two variants of the English word for objects of a generally thin and cylindrical geometry.

New!!: Disk (mathematics) and Spelling of disc · See more »

Surjective function

In mathematics, a function f from a set X to a set Y is surjective (or onto), or a surjection, if for every element y in the codomain Y of f there is at least one element x in the domain X of f such that f(x).

New!!: Disk (mathematics) and Surjective function · See more »

Unit disk

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: The closed unit disk around P is the set of points whose distance from P is less than or equal to one: Unit disks are special cases of disks and unit balls; as such, they contain the interior of the unit circle and, in the case of the closed unit disk, the unit circle itself.

New!!: Disk (mathematics) and Unit disk · See more »

Redirects here:

2-ball, Closed disc, Closed disk, Disc (geometry), Disc (mathematics), Disk (geometry), Open disk, Semidisk.

References

[1] https://en.wikipedia.org/wiki/Disk_(mathematics)

OutgoingIncoming
Hey! We are on Facebook now! »