Image: Wikimedia Commons

measure

Function assigning numbers to some subsets of a set, which could be seen as a generalization of length, area, volume and integral

Entitymathematical propertyQ192276

Instance of: mathematical property
Subclass of: content
, additive function
, function
Part of: measure space

Overview

From Wikipedia, the free encyclopedia · Read full article · Text CC BY-SA 4.0

In mathematics, the concept of a measure is a generalization and formalization of geometrical measures and other common notions, such as magnitude, mass, and probability of events. These seemingly distinct concepts have many similarities and can often be treated together in a single mathematical context. Measures are foundational in probability theory, integration theory, and can be generalized to assume negative values, as with electrical charge. Far-reaching generalizations of measure are widely used in quantum physics and physics in general.

Overview

All data

29 statements · 21% with external sources · numbers in brackets are citations

Defining formula: \mu(E)\geq 0,\mu(\emptyset)=0,\mu\left(\bigcup_{k=1}^\infty E_k\right)=\sum_{k=1}^\infty \mu(E_k)
Studied by: measure theory
Definition domain: sigma-algebra
Image of function: set of non-negative real numbers
Has characteristic: sigma additivity
Different from: Miara

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15 identifiers linking measure across the web's reference databases

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statements

21%

externally sourced

Source last edited October 16, 2026. AIDb refreshes this page daily.

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AIDb. (2026). measure (Q192276). Retrieved from https://aidb.si/e/measure-Q192276