Measurable function
In mathematics and in particular measure theory, a measurable function is a function between the underlying sets of two measurable spaces that preserves the structure of the spaces: the preimage of any measurable set is measurable. This is in direct analogy to the definition that a continuous function between topological spaces preserves the topological structure: the preimage of any open set is open. In real analysis, measurable functions are used in the definition of the Lebesgue integral. In probability theory, a measurable function on a probability space is known as a random variable.
Absolute convergenceAbsolute valueAbsolutely integrable functionAdapted processAlexandra BellowAlexandru FrodaAzuma's inequalityBaire setBase flow (random dynamical systems)Besicovitch covering theoremBetter-quasi-orderingBlichfeldt's theoremBochner measurable functionBorel equivalence relationBorel functionBorel functional calculusBorel sectionBorel setBounded variationCampbell's theorem (probability)Carathéodory's existence theoremCardinality of the continuumCharacterizations of the exponential functionChebyshev's inequalityClarkson's inequalitiesCompleteness (statistics)Complex measureComposition operatorConcave functionConditional expectationConservative systemContinuous stochastic processConvergence in measureConvergence of measuresConvex functionCox processCuspidal representationCylindrical σ-algebraDenjoy–Young–Saks theoremDeterminantal point process
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Measurable function
In mathematics and in particular measure theory, a measurable function is a function between the underlying sets of two measurable spaces that preserves the structure of the spaces: the preimage of any measurable set is measurable. This is in direct analogy to the definition that a continuous function between topological spaces preserves the topological structure: the preimage of any open set is open. In real analysis, measurable functions are used in the definition of the Lebesgue integral. In probability theory, a measurable function on a probability space is known as a random variable.
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Em matemática, sobretudo na te ...... que se possa desenvolver uma .
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En matemàtiques, les funcions ...... urable o simplement mesurable.
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En mätbar funktion är inom mat ...... a rum som bevarar mätbarheten.
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En teoría de la medida, una fu ...... o medible es a su vez medible.
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Funkcja mierzalna – funkcja za ...... są często wektorami losowymi.
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In analisi matematica, una fun ...... a e della teoria della misura.
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In de maattheorie, een deelgeb ...... manier gemeten kunnen worden.
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In mathematics and in particul ...... is known as a random variable.
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Měřitelné funkce jsou v matema ...... v oblasti matematické analýzy.
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Soient E et F des espaces mesu ...... es une structure de catégorie.
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Em matemática, sobretudo na te ...... que se possa desenvolver uma .
@pt
En matemàtiques, les funcions ...... urable o simplement mesurable.
@ca
En mätbar funktion är inom mat ...... a rum som bevarar mätbarheten.
@sv
En teoría de la medida, una fu ...... o medible es a su vez medible.
@es
Funkcja mierzalna – funkcja za ...... izmów struktur algebraicznych.
@pl
In analisi matematica, una fun ...... a e della teoria della misura.
@it
In de maattheorie, een deelgeb ...... manier gemeten kunnen worden.
@nl
In mathematics and in particul ...... is known as a random variable.
@en
Měřitelné funkce jsou v matema ...... í mezi topologickými prostory.
@cs
Soient E et F des espaces mesu ...... es une structure de catégorie.
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Fonction mesurable
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Funció mesurable
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Función medible
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Funkcja mierzalna
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Funzione misurabile
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Função mensurável
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Measurable function
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Meetbare functie
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Messbare Funktion
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Mezurebla bildigo
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