Lebesgue integration
In mathematics, the integral of a non-negative function of a single variable can be regarded, in the simplest case, as the area between the graph of that function and the x-axis. The Lebesgue integral extends the integral to a larger class of functions. It also extends the domains on which these functions can be defined. The Lebesgue integral plays an important role in probability theory, real analysis, and many other fields in mathematics. It is named after Henri Lebesgue (1875–1941), who introduced the integral . It is also a pivotal part of the axiomatic theory of probability.
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Lebesgue integration
In mathematics, the integral of a non-negative function of a single variable can be regarded, in the simplest case, as the area between the graph of that function and the x-axis. The Lebesgue integral extends the integral to a larger class of functions. It also extends the domains on which these functions can be defined. The Lebesgue integral plays an important role in probability theory, real analysis, and many other fields in mathematics. It is named after Henri Lebesgue (1875–1941), who introduced the integral . It is also a pivotal part of the axiomatic theory of probability.
has abstract
A integral de Lebesgue é, na m ...... em um espaço de Banach geral.
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Całka Lebesgue’a – konstrukcja ...... jest jednym z wielu możliwych.
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Dalam matematika modern, Integral Lebesgue suatu konsep integral.
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Das Lebesgue-Integral (nach He ...... infachen Funktionen definiert.
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En Análisis matemático, la int ...... ste tipo de integral en 1904.
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En matemàtiques, la integral d ...... ecte de la mesura de Lebesgue.
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En mathématiques, l’intégrale ...... espaces plus généraux que ou .
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In analisi matematica, l'integ ...... matematica della probabilità.
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In de wiskundige analyse geeft ...... dan met de riemann-integraal.
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In mathematics, the integral o ...... spect to the Lebesgue measure.
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@en
title
Lebesgue integral
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comment
A integral de Lebesgue é, na m ...... em um espaço de Banach geral.
@pt
Całka Lebesgue’a – konstrukcja ...... jest jednym z wielu możliwych.
@pl
Dalam matematika modern, Integral Lebesgue suatu konsep integral.
@in
Das Lebesgue-Integral (nach He ...... infachen Funktionen definiert.
@de
En Análisis matemático, la int ...... l de Riemann o la de Stieljes.
@es
En matemàtiques, la integral d ...... s de funcions en Anàlisi matem
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En mathématiques, l’intégrale ...... es domaines des mathématiques.
@fr
In analisi matematica, l'integ ...... petto alla misura di Lebesgue.
@it
In de wiskundige analyse geeft ...... omeinen dan de reële getallen.
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In mathematics, the integral o ...... iomatic theory of probability.
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label
Całka Lebesgue’a
@pl
Integral Lebesgue
@in
Integral de Lebesgue
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Integral de Lebesgue
@es
Integral de Lebesgue
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Integrale di Lebesgue
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Intégrale de Lebesgue
@fr
Lebesgue integration
@en
Lebesgue-Integral
@de
Lebesgue-integraal
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