Concept information
Preferred term
measure
Definition(s)
-
In mathematics, the concept of a measure is a generalization and formalization of geometrical measures (length, area, volume) 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 (such as spectral measures and projection-valued measures) of measure are widely used in quantum physics and physics in general.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Measure_(mathematics))
Broader concept(s)
Narrower concept(s)
- Baire set
- Banach measure
- Besov measure
- Borel measure
- Carleson measure
- complete measure
- complex measure
- convex measure
- counting measure
- cylinder set measure
- decomposable measure
- Dirac measure
- discrete measure
- Euler measure
- finite measure
- Gibbs measure
- G-measure
- Green measure
- Haar measure
- harmonic measure
- Hausdorff measure
- idempotent measure
- inner measure
- inner regular measure
- invariant measure
- isotropic measure
- Jordan measure
- Laplace functional
- Lebesgue measure
- locally finite measure
- maximising measure
- measurable cardinal
- Minkowski content
- outer measure
- probability measure
- product measure
- quasi-invariant measure
- Radon measure
- Rajchman measure
- random measure
- regular measure
In other languages
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French
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mesure positive
URI
http://data.loterre.fr/ark:/67375/PSR-XM9K9XL8-S
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