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## Measure

ID: | 150003 |

GUID: | - |

Type: | MEASURE |

Version: | 22 |

Version date: | 2012-12-12 |

Status: | DRAFT |

Owner: | IFD-Nederland |

### Names

en-IN | Measure |

nl-NL | Maat |

### Description

[nl-NL]

Een Maat is een Concept waarmee wordt gedefinieerd hoe de Waarden van een Feit moeten worden geïnterpreteerd.

[en-IN]

A Measure is a Concept that defines how Values of a Fact should be interpreted.

### Units

### References

*Measure*

Means of expressing the value of a quantity.

[BS Glossary]

*quantity dimension*

expression of the dependence of a quantity on the base quantities of a system of quantities as a product of powers of factors corresponding to the base quantities, omitting any numerical factor

[VIM:2008.01.07]

*Measure (mathematics)*

In mathematics the concept of a measure generalizes notions such as ‘length’, ‘area’, and ‘volume’ (but not all of its applications have to do with physical sizes). Informally, given some base set, a ‘measure’ is any consistent assignment of ‘sizes’ to (some of) the subsets of the base set. Depending on the application, the ‘size’ of a subset may be interpreted as (for example) its physical size, the amount of something that lies within the subset, or the probability that some random process will yield a result within the subset. The main use of measures is to define general concepts of integration over domains with more complex structure than intervals of the real line. Such integrals are used extensively in probability theory, and in much of mathematical analysis.
It is often not possible or desirable to assign a size to all subsets of the base set, so a measure does not have to do so. There are certain consistency conditions that govern which combinations of subsets it is allowed for a measure to assign sizes to; these conditions are encapsulated in the auxiliary concept of a σ-algebra.
In differential topology, the related concept of volume form is used more frequently.
Measure theory is a branch of real analysis which investigates σ-algebras, measures, measurable functions and integrals.

[Wikipedia (En)]

*Maat (wiskunde)*

In de wiskunde is een maat intuïtief een afbeelding die een grootte of volume of kans toekent aan objecten. Het resultaat is steeds positief.

[Wikipedia (Nl)]

Supertypes |
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Concept |