About: Map (mathematics)

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In mathematics, a map is often used as a synonym for a function, but may also refer to some generalizations. Originally, this was an abbreviation of mapping, which often refers to the action of applying a function to the elements of its domain. This terminology is not completely fixed, as these terms are generally not formally defined, and can be considered to be jargon. These terms may have originated as a generalization of the process of making a geographical map, which consists of mapping the Earth surface to a sheet of paper.

Attributes	Values
rdf:type	Thing
rdfs:label	Map (mathematics) (en)
rdfs:comment	In mathematics, a map is often used as a synonym for a function, but may also refer to some generalizations. Originally, this was an abbreviation of mapping, which often refers to the action of applying a function to the elements of its domain. This terminology is not completely fixed, as these terms are generally not formally defined, and can be considered to be jargon. These terms may have originated as a generalization of the process of making a geographical map, which consists of mapping the Earth surface to a sheet of paper. (en)
sameAs	Map (mathematics) Map (mathematics)
dbp:wikiPageUsesTemplate	dbt:Annotated_link dbt:Authority_control dbt:Main_article dbt:Other_uses dbt:Reflist dbt:Short_description dbt:Mathematical_logic
Subject	Basic concepts in set theory Functions and mappings
prov:wasDerivedFrom	http://en.wikipedia.org/wiki/Map_(mathematics)?oldid=1053403799&ns=0
Wikipage page ID	516931 (xsd:integer)
page length (characters) of wiki page	7667 (xsd:nonNegativeInteger)
Wikipage revision ID	1053403799 (xsd:integer)
Link from a Wikipage to another Wikipage	Logic Programming language Abstract algebra Argument of a function Binary function Serge Lang Basic concepts in set theory Category theory Geometry Functions and mappings Domain of a function Set theory Linear algebra Linear function Linear map List (abstract data type) List of mathematical jargon Planar graph Plane (geometry) Predicate (mathematical logic) Codomain Complex number Concrete category Continuous function Dynamical system Higher-order function Homomorphism List of chaotic maps Morphism Operation (mathematics) Partial function First-class citizen Function (mathematics) Functional predicate Graph Graph embedding Graph theory Group representation Group theory Injective function Map Map (higher-order function) Vector space Structure (mathematical logic) Topology Isometry Numerical analysis Mathematics Real number
has abstract	In mathematics, a map is often used as a synonym for a function, but may also refer to some generalizations. Originally, this was an abbreviation of mapping, which often refers to the action of applying a function to the elements of its domain. This terminology is not completely fixed, as these terms are generally not formally defined, and can be considered to be jargon. These terms may have originated as a generalization of the process of making a geographical map, which consists of mapping the Earth surface to a sheet of paper. Maps may either be functions or morphisms, though the terms share some overlap. The term map may be used to distinguish some special types of functions, such as homomorphisms. For example, a linear map is a homomorphism of vector spaces, while the term linear function may have this meaning as well as another one. In category theory, a map may refer to a morphism, which is a generalization of the idea of a function. In some occasions, the term transformation can also be used interchangeably. There are also a few less common uses in logic and graph theory. (en)
foaf:isPrimaryTopicOf	http://en.wikipedia.org/wiki/Map_(mathematics)
is Wikipage redirect of	Map (math) Functional map Functions and mappings Map (maths) Mapping (mathematics) Mapping diagram
is Link from a Wikipage to another Wikipage of	Grid classification Logic Logistic map Machine learning Mackey–Glass equations N-connected space NK model Non-orientable wormhole Non-return-to-zero Nonlinear functional analysis Nonlinear system Nonlocal operator Numerical continuation Dimensional operator Absolute space and time Additive identity Address space Affine transformation Alexandrov topology Alternating multilinear map Analogue (literature) Anosov diffeomorphism Automorphism

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