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Sigma algebra

σ {\displaystyle \sigma } -algebra (sigma-algebra, též σ {\displaystyle \sigma } -těleso) je v matematice libovolný neprázdný systém množin, který je uzavřený na spočetné sjednocení a na rozdíl dvou prvků a obsahuje sjednocení všech svých prvků. Prefix σ {\displaystyle \sigma } v názvu vyjadřuje uzavřenost na spočetné sjednocení.

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Použití

Teorii míryTeorii pravděpodobnostiΣ {\displaystyle \sigma } -aditivníPrázdné množiněPravděpodobnost
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Měřitelná množina

MnožinaMěřitelný prostor
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Vlastnosti

Průnik
1 related topics

Související články

Σ {\displaystyle \sigma } -okruh
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Vlastnosti

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Měřitelná množina

Související články

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Sigma algebra

Nodes21
Edges20
Triples0
Avg. degree1.9
Density0.095238
Components1

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Important terminology

displaystyle sigma spočetné sjednocení -algebra mathcal in systém uzavřený prvků obsahuje všech svých množina definice míra matematice rozdíl množiny forall

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