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- Liouville_number abstract "In number theory, a Liouville number is an irrational number x with the property that, for every positive integer n, there exist integers p and q with q > 1 and such thatA Liouville number can thus be approximated "quite closely" by a sequence of rational numbers. In 1844, Joseph Liouville showed that all Liouville numbers are transcendental, thus establishing the existence of transcendental numbers for the first time.".
- Liouville_number wikiPageExternalLink uninteresting-numbers.html.
- Liouville_number wikiPageExternalLink Math785Notes5.pdf.
- Liouville_number wikiPageID "50964".
- Liouville_number wikiPageRevisionID "594286792".
- Liouville_number hasPhotoCollection Liouville_number.
- Liouville_number subject Category:Articles_containing_proofs.
- Liouville_number subject Category:Diophantine_approximation.
- Liouville_number subject Category:Transcendental_numbers.
- Liouville_number type Abstraction100002137.
- Liouville_number type ComplexNumber113729428.
- Liouville_number type DefiniteQuantity113576101.
- Liouville_number type IrrationalNumber113730584.
- Liouville_number type Measure100033615.
- Liouville_number type Number113582013.
- Liouville_number type RealNumber113729902.
- Liouville_number type TranscendentalNumber113730756.
- Liouville_number type TranscendentalNumbers.
- Liouville_number comment "In number theory, a Liouville number is an irrational number x with the property that, for every positive integer n, there exist integers p and q with q > 1 and such thatA Liouville number can thus be approximated "quite closely" by a sequence of rational numbers. In 1844, Joseph Liouville showed that all Liouville numbers are transcendental, thus establishing the existence of transcendental numbers for the first time.".
- Liouville_number label "Liczba Liouville'a".
- Liouville_number label "Liouville number".
- Liouville_number label "Liouville-getal".
- Liouville_number label "Liouvillesche Zahl".
- Liouville_number label "Nombre de Liouville".
- Liouville_number label "Numero di Liouville".
- Liouville_number label "Número de Liouville".
- Liouville_number label "Números de Liouville".
- Liouville_number label "Диофантовы и лиувиллевы числа".
- Liouville_number label "リウヴィル数".
- Liouville_number label "刘维尔数".
- Liouville_number sameAs Liouvillesche_Zahl.
- Liouville_number sameAs Número_de_Liouville.
- Liouville_number sameAs Nombre_de_Liouville.
- Liouville_number sameAs Numero_di_Liouville.
- Liouville_number sameAs リウヴィル数.
- Liouville_number sameAs Liouville-getal.
- Liouville_number sameAs Liczba_Liouville'a.
- Liouville_number sameAs Números_de_Liouville.
- Liouville_number sameAs m.0dfys.
- Liouville_number sameAs Q1755697.
- Liouville_number sameAs Q1755697.
- Liouville_number sameAs Liouville_number.
- Liouville_number wasDerivedFrom Liouville_number?oldid=594286792.
- Liouville_number isPrimaryTopicOf Liouville_number.