Intermediate value theorem
In mathematical analysis, the intermediate value theorem states that if f is a continuous function whose domain contains the interval [a, b], then it takes on any given value between f(a) and f(b) at some point within the interval. This has two important corollaries: 1.
* If a continuous function has values of opposite sign inside an interval, then it has a root in that interval (Bolzano's theorem). 2.
* The image of a continuous function over an interval is itself an interval.
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Intermediate value theorem
In mathematical analysis, the intermediate value theorem states that if f is a continuous function whose domain contains the interval [a, b], then it takes on any given value between f(a) and f(b) at some point within the interval. This has two important corollaries: 1.
* If a continuous function has values of opposite sign inside an interval, then it has a root in that interval (Bolzano's theorem). 2.
* The image of a continuous function over an interval is itself an interval.
has abstract
Bolzanos sats eller satsen om ...... t den skall vara kontinuerlig.
@sv
Bolzanova věta je tvrzení z reálné analýzy, pojmenované podle Bernarda Bolzana.
@cs
En análisis matemático el teor ...... re los extremos del intervalo.
@es
En matemàtiques el teorema del ...... compacte si és tancat i fitat.
@ca
En mathématiques, le théorème ...... dichotomique ou la bissection.
@fr
In analisi matematica il teore ...... degli estremi dell'intervallo.
@it
In de reëelwaardige analyse st ...... t op dat interval een nulpunt.
@nl
In mathematical analysis, the ...... nterval is itself an interval.
@en
O teorema do valor intermediár ...... o em pelo menos um ponto com .
@pt
Teorema nilai antara dalam ana ...... takan terhadap titik tersebut.
@in
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Intermediate_Value_Theorem
@en
title
Intermediate Value Theorem
@en
Intermediate value Theorem
@en
urlname
IntermediateValueTheorem
@en
wikiPageUsesTemplate
comment
Bolzanos sats eller satsen om ...... t den skall vara kontinuerlig.
@sv
Bolzanova věta je tvrzení z reálné analýzy, pojmenované podle Bernarda Bolzana.
@cs
En análisis matemático el teor ...... re los extremos del intervalo.
@es
En matemàtiques el teorema del ...... e aixecar el llapis del paper.
@ca
En mathématiques, le théorème ...... dichotomique ou la bissection.
@fr
In analisi matematica il teore ...... degli estremi dell'intervallo.
@it
In de reëelwaardige analyse st ...... t op dat interval een nulpunt.
@nl
In mathematical analysis, the ...... nterval is itself an interval.
@en
O teorema do valor intermediár ...... o em pelo menos um ponto com .
@pt
Teorema nilai antara dalam ana ...... takan terhadap titik tersebut.
@in
label
Bolzanos sats
@sv
Bolzanova věta
@cs
Intermediate value theorem
@en
Teorema dei valori intermedi
@it
Teorema del valor intermedi
@ca
Teorema del valor intermedio
@es
Teorema do valor intermediário
@pt
Teorema nilai antara
@in
Théorème des valeurs intermédiaires
@fr
Tussenwaardestelling
@nl