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Title: Domain -- from Wolfram MathWorld

Open Graph Title: Domain -- from Wolfram MathWorld

X Title: Domain -- from Wolfram MathWorld

Description: The term domain has (at least) three different meanings in mathematics. The term domain is most commonly used to describe the set of values D for which a function (map, transformation, etc.) is defined. For example, a function f(x) that is defined for real values x in R has domain R, and is sometimes said to be "a function over the reals." The set of values to which D is sent by the function is then called the range. Unfortunately, the term range is sometimes used in probability...

Open Graph Description: The term domain has (at least) three different meanings in mathematics. The term domain is most commonly used to describe the set of values D for which a function (map, transformation, etc.) is defined. For example, a function f(x) that is defined for real values x in R has domain R, and is sometimes said to be "a function over the reals." The set of values to which D is sent by the function is then called the range. Unfortunately, the term range is sometimes used in probability...

X Description: The term domain has (at least) three different meanings in mathematics. The term domain is most commonly used to describe the set of values D for which a function (map, transformation, etc.) is defined. For example, a function f(x) that is defined for real values x in R has domain R, and is sometimes said to be "a function over the reals." The set of values to which D is sent by the function is then called the range. Unfortunately, the term range is sometimes used in probability...

Opengraph URL: https://mathworld.wolfram.com/Domain.html

X: @WolframResearch

direct link

Domain: mathworld.wolfram.com

DC.TitleDomain
DC.CreatorWeisstein, Eric W.
DC.DescriptionThe term domain has (at least) three different meanings in mathematics. The term domain is most commonly used to describe the set of values D for which a function (map, transformation, etc.) is defined. For example, a function f(x) that is defined for real values x in R has domain R, and is sometimes said to be "a function over the reals." The set of values to which D is sent by the function is then called the range. Unfortunately, the term range is sometimes used in probability...
DC.Date.Modified2008-12-01
DC.Subject60
DC.RightsCopyright 1999-2026 Wolfram Research, Inc. See https://mathworld.wolfram.com/about/terms.html for a full terms of use statement.
DC.Formattext/html
DC.Identifierhttps://mathworld.wolfram.com/Domain.html
DC.Languageen
DC.PublisherWolfram Research, Inc.
DC.Relation.IsPartOfhttps://mathworld.wolfram.com/
DC.TypeText
Last-Modified2008-12-01
og:imagehttps://mathworld.wolfram.com/images/socialmedia/share/ogimage_Domain.png
og:typewebsite
twitter:cardsummary_large_image
twitter:image:srchttps://mathworld.wolfram.com/images/socialmedia/share/ogimage_Domain.png
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Probabilityhttps://mathworld.wolfram.com/topics/Probability.html
Download Wolfram Notebookhttps://mathworld.wolfram.com/notebooks/Statistics/Domain.nb
functionhttps://mathworld.wolfram.com/Function.html
maphttps://mathworld.wolfram.com/Map.html
transformationhttps://mathworld.wolfram.com/Transformation.html
overhttps://mathworld.wolfram.com/Over.html
realshttps://mathworld.wolfram.com/Reals.html
rangehttps://mathworld.wolfram.com/Range.html
rangehttps://mathworld.wolfram.com/Range.html
statistical rangehttps://mathworld.wolfram.com/StatisticalRange.html
probability domainhttps://mathworld.wolfram.com/ProbabilityDomain.html
distribution functionhttps://mathworld.wolfram.com/DistributionFunction.html
probability density functionhttps://mathworld.wolfram.com/ProbabilityDensityFunction.html
probability density functionhttps://mathworld.wolfram.com/ProbabilityDensityFunction.html
distribution functionhttps://mathworld.wolfram.com/DistributionFunction.html
Wolfram Languagehttp://www.wolfram.com/language/
connectedhttps://mathworld.wolfram.com/ConnectedSet.html
open sethttps://mathworld.wolfram.com/OpenSet.html
integral domainhttps://mathworld.wolfram.com/IntegralDomain.html
ringhttps://mathworld.wolfram.com/Ring.html
commutativehttps://mathworld.wolfram.com/Commutative.html
identity elementhttps://mathworld.wolfram.com/IdentityElement.html
Codomainhttps://mathworld.wolfram.com/Codomain.html
Connected Sethttps://mathworld.wolfram.com/ConnectedSet.html
Integral Domainhttps://mathworld.wolfram.com/IntegralDomain.html
Maphttps://mathworld.wolfram.com/Map.html
Natural Domainhttps://mathworld.wolfram.com/NaturalDomain.html
One-to-Onehttps://mathworld.wolfram.com/One-to-One.html
Overhttps://mathworld.wolfram.com/Over.html
Probability Domainhttps://mathworld.wolfram.com/ProbabilityDomain.html
Rangehttps://mathworld.wolfram.com/Range.html
Reinhardt Domainhttps://mathworld.wolfram.com/ReinhardtDomain.html
Statistical Rangehttps://mathworld.wolfram.com/StatisticalRange.html
Surjectionhttps://mathworld.wolfram.com/Surjection.html
Explore this topic in the MathWorld classroomhttps://mathworld.wolfram.com/classroom/Domain.html
function https://www.wolframalpha.com/input/?i=function
inverse function https://www.wolframalpha.com/input/?i=inverse+function
domain of logx https://www.wolframalpha.com/input/?i=domain+of+logx
Statistical Distributions, 3rd ed.http://www.amazon.com/exec/obidos/ASIN/0471371246/ref=nosim/ericstreasuretro
An Introduction to Probability Theory and Its Applications, Vol. 1, 3rd ed.http://www.amazon.com/exec/obidos/ASIN/0471257087/ref=nosim/ericstreasuretro
Handbook of Complex Variables.http://www.amazon.com/exec/obidos/ASIN/0817640118/ref=nosim/ericstreasuretro
Domainhttps://www.wolframalpha.com/input/?i=domain
Weisstein, Eric W.https://mathworld.wolfram.com/about/author.html
MathWorldhttps://mathworld.wolfram.com/
https://mathworld.wolfram.com/Domain.htmlhttps://mathworld.wolfram.com/Domain.html
Topologyhttps://mathworld.wolfram.com/topics/Topology.html
Point-Set Topologyhttps://mathworld.wolfram.com/topics/Point-SetTopology.html
Calculus and Analysishttps://mathworld.wolfram.com/topics/CalculusandAnalysis.html
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